TSTP Solution File: SEU346+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU346+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:42:01 EDT 2024
% Result : Theorem 37.66s 5.11s
% Output : CNFRefutation 38.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU346+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Apr 29 19:39:57 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.34 % Drodi V3.6.0
% 37.66/5.11 % Refutation found
% 37.66/5.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 37.66/5.11 % SZS output start CNFRefutation for theBenchmark
% 37.66/5.11 fof(f1,axiom,(
% 37.66/5.11 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f2,axiom,(
% 37.66/5.11 (! [A] :( latt_str(A)=> ( strict_latt_str(A)=> A = latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f3,axiom,(
% 37.66/5.11 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f4,axiom,(
% 37.66/5.11 (! [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) ) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f6,axiom,(
% 37.66/5.11 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& join_commutative(A)& join_associative(A)& meet_commutative(A)& meet_associative(A)& meet_absorbing(A)& join_absorbing(A) )=> ( ~ empty_carrier(A)& lattice(A) ) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f8,axiom,(
% 37.66/5.11 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> poset_of_lattice(A) = rel_str_of(the_carrier(A),k2_lattice3(A)) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f9,axiom,(
% 37.66/5.11 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f11,axiom,(
% 37.66/5.11 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( related(A,B,C)<=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) )) )) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f12,axiom,(
% 37.66/5.11 (! [A,B] :( relation_of2(B,A,A)=> ( strict_rel_str(rel_str_of(A,B))& rel_str(rel_str_of(A,B)) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f14,axiom,(
% 37.66/5.11 (! [A,B,C,D] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A)& ~ empty_carrier(B)& lattice(B)& latt_str(B)& element(C,the_carrier(A))& element(D,the_carrier(B)) )=> element(k10_filter_1(A,B,C,D),the_carrier(k8_filter_1(A,B))) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f19,axiom,(
% 37.66/5.11 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> ( reflexive(k2_lattice3(A))& antisymmetric(k2_lattice3(A))& transitive(k2_lattice3(A))& v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A))& relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f22,axiom,(
% 37.66/5.11 (! [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)) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f23,axiom,(
% 37.66/5.11 (! [A,B] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A)& element(B,the_carrier(A)) )=> element(cast_to_el_of_LattPOSet(A,B),the_carrier(poset_of_lattice(A))) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f25,axiom,(
% 37.66/5.11 (! [A,B] :( ( ~ empty_carrier(A)& latt_str(A)& ~ empty_carrier(B)& latt_str(B) )=> ( strict_latt_str(k8_filter_1(A,B))& latt_str(k8_filter_1(A,B)) ) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f26,axiom,(
% 37.66/5.11 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> relation(relation_of_lattice(A)) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f28,axiom,(
% 37.66/5.11 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f30,axiom,(
% 37.66/5.11 (! [A] :( join_semilatt_str(A)=> one_sorted_str(A) ) )),
% 37.66/5.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.11 fof(f31,axiom,(
% 37.66/5.11 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f35,axiom,(
% 37.66/5.12 (! [A] :( meet_semilatt_str(A)=> ( function(the_L_meet(A))& quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))& relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f36,axiom,(
% 37.66/5.12 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f38,axiom,(
% 37.66/5.12 (! [A] :( join_semilatt_str(A)=> ( function(the_L_join(A))& quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))& relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f45,axiom,(
% 37.66/5.12 (! [A] :(? [B] : element(B,A) ))),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f47,axiom,(
% 37.66/5.12 (! [A,B] :( ( ~ empty(A)& relation_of2(B,A,A) )=> ( ~ empty_carrier(rel_str_of(A,B))& strict_rel_str(rel_str_of(A,B)) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f48,axiom,(
% 37.66/5.12 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f49,axiom,(
% 37.66/5.12 (! [A] : ~ empty(powerset(A)) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f50,axiom,(
% 37.66/5.12 empty(empty_set) ),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f52,axiom,(
% 37.66/5.12 (! [A] :( ( reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& rel_str(A) )=> ( relation(the_InternalRel(A))& reflexive(the_InternalRel(A))& antisymmetric(the_InternalRel(A))& transitive(the_InternalRel(A))& v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f56,axiom,(
% 37.66/5.12 (! [A,B] :( ( reflexive(B)& antisymmetric(B)& transitive(B)& v1_partfun1(B,A,A)& relation_of2(B,A,A) )=> ( strict_rel_str(rel_str_of(A,B))& reflexive_relstr(rel_str_of(A,B))& transitive_relstr(rel_str_of(A,B))& antisymmetric_relstr(rel_str_of(A,B)) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f59,axiom,(
% 37.66/5.12 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> ( ~ empty_carrier(poset_of_lattice(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)) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f62,axiom,(
% 37.66/5.12 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f64,axiom,(
% 37.66/5.12 (? [A] :( rel_str(A)& strict_rel_str(A) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f65,axiom,(
% 37.66/5.12 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f67,axiom,(
% 37.66/5.12 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f68,axiom,(
% 37.66/5.12 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f70,axiom,(
% 37.66/5.12 (? [A] :( latt_str(A)& strict_latt_str(A) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f73,axiom,(
% 37.66/5.12 (? [A] :( latt_str(A)& ~ empty_carrier(A)& strict_latt_str(A) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f74,axiom,(
% 37.66/5.12 (? [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) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f75,axiom,(
% 37.66/5.12 (! [A,B,C,D] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A)& ~ empty_carrier(B)& lattice(B)& latt_str(B)& element(C,the_carrier(A))& element(D,the_carrier(B)) )=> k10_filter_1(A,B,C,D) = ordered_pair(C,D) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f76,axiom,(
% 37.66/5.12 (! [A,B,C,D] :( ( ~ empty(A)& ~ empty(B)& element(C,A)& element(D,B) )=> ordered_pair_as_product_element(A,B,C,D) = ordered_pair(C,D) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f77,axiom,(
% 37.66/5.12 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> k2_lattice3(A) = relation_of_lattice(A) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f78,axiom,(
% 37.66/5.12 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f80,axiom,(
% 37.66/5.12 (! [A,B,C] :( ( ~ empty_carrier(A)& reflexive_relstr(A)& rel_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> ( related_reflexive(A,B,C)<=> related(A,B,C) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f82,axiom,(
% 37.66/5.12 (! [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) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f83,axiom,(
% 37.66/5.12 (! [A,B,C] :( ( ~ empty_carrier(A)& reflexive_relstr(A)& rel_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> related_reflexive(A,B,B) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f84,axiom,(
% 37.66/5.12 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f85,axiom,(
% 37.66/5.12 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f86,axiom,(
% 37.66/5.12 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))<=> below_refl(A,B,C) ) ) )) )) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f88,axiom,(
% 37.66/5.12 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f89,axiom,(
% 37.66/5.12 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f90,axiom,(
% 37.66/5.12 (! [A] :( empty(A)=> A = empty_set ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f91,axiom,(
% 37.66/5.12 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f92,conjecture,(
% 37.66/5.12 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( below_refl(A,B,C)<=> related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) ) ) )) )) )),
% 37.66/5.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 37.66/5.12 fof(f93,negated_conjecture,(
% 37.66/5.12 ~((! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( below_refl(A,B,C)<=> related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) ) ) )) )) ))),
% 37.66/5.12 inference(negated_conjecture,[status(cth)],[f92])).
% 37.66/5.12 fof(f95,plain,(
% 37.66/5.12 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 37.66/5.12 fof(f96,plain,(
% 37.66/5.12 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f95])).
% 37.66/5.12 fof(f97,plain,(
% 37.66/5.12 ![A]: (~latt_str(A)|(~strict_latt_str(A)|A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 37.66/5.12 fof(f98,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|~strict_latt_str(X0)|X0=latt_str_of(the_carrier(X0),the_L_join(X0),the_L_meet(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f97])).
% 37.66/5.12 fof(f99,plain,(
% 37.66/5.12 ![A,B]: (~in(A,B)|~in(B,A))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 37.66/5.12 fof(f100,plain,(
% 37.66/5.12 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f99])).
% 37.66/5.12 fof(f101,plain,(
% 37.66/5.12 ![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))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 37.66/5.12 fof(f103,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_commutative(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f101])).
% 37.66/5.12 fof(f104,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_associative(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f101])).
% 37.66/5.12 fof(f105,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_commutative(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f101])).
% 37.66/5.12 fof(f106,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_associative(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f101])).
% 37.66/5.12 fof(f107,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_absorbing(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f101])).
% 37.66/5.12 fof(f108,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_absorbing(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f101])).
% 37.66/5.12 fof(f112,plain,(
% 37.66/5.12 ![A]: (~latt_str(A)|(((((((empty_carrier(A)|~join_commutative(A))|~join_associative(A))|~meet_commutative(A))|~meet_associative(A))|~meet_absorbing(A))|~join_absorbing(A))|(~empty_carrier(A)&lattice(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 37.66/5.12 fof(f114,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~join_commutative(X0)|~join_associative(X0)|~meet_commutative(X0)|~meet_associative(X0)|~meet_absorbing(X0)|~join_absorbing(X0)|lattice(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f112])).
% 37.66/5.12 fof(f116,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 37.66/5.12 fof(f117,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|poset_of_lattice(X0)=rel_str_of(the_carrier(X0),k2_lattice3(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f116])).
% 37.66/5.12 fof(f118,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 37.66/5.12 fof(f119,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f118])).
% 37.66/5.12 fof(f121,plain,(
% 37.66/5.12 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|(related(A,B,C)<=>in(ordered_pair(B,C),the_InternalRel(A))))))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 37.66/5.12 fof(f122,plain,(
% 37.66/5.12 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|((~related(A,B,C)|in(ordered_pair(B,C),the_InternalRel(A)))&(related(A,B,C)|~in(ordered_pair(B,C),the_InternalRel(A)))))))))),
% 37.66/5.12 inference(NNF_transformation,[status(esa)],[f121])).
% 37.66/5.12 fof(f123,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|~related(X0,X1,X2)|in(ordered_pair(X1,X2),the_InternalRel(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f122])).
% 37.66/5.12 fof(f124,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|related(X0,X1,X2)|~in(ordered_pair(X1,X2),the_InternalRel(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f122])).
% 37.66/5.12 fof(f125,plain,(
% 37.66/5.12 ![A,B]: (~relation_of2(B,A,A)|(strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 37.66/5.12 fof(f126,plain,(
% 37.66/5.12 ![X0,X1]: (~relation_of2(X0,X1,X1)|strict_rel_str(rel_str_of(X1,X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f125])).
% 37.66/5.12 fof(f127,plain,(
% 37.66/5.12 ![X0,X1]: (~relation_of2(X0,X1,X1)|rel_str(rel_str_of(X1,X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f125])).
% 37.66/5.12 fof(f131,plain,(
% 37.66/5.12 ![A,B,C,D]: ((((((((empty_carrier(A)|~lattice(A))|~latt_str(A))|empty_carrier(B))|~lattice(B))|~latt_str(B))|~element(C,the_carrier(A)))|~element(D,the_carrier(B)))|element(k10_filter_1(A,B,C,D),the_carrier(k8_filter_1(A,B))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 37.66/5.12 fof(f132,plain,(
% 37.66/5.12 ![X0,X1,X2,X3]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(X0))|~element(X3,the_carrier(X1))|element(k10_filter_1(X0,X1,X2,X3),the_carrier(k8_filter_1(X0,X1))))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f131])).
% 37.66/5.12 fof(f135,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|((((reflexive(k2_lattice3(A))&antisymmetric(k2_lattice3(A)))&transitive(k2_lattice3(A)))&v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)))&relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 37.66/5.12 fof(f140,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f135])).
% 37.66/5.12 fof(f141,plain,(
% 37.66/5.12 ![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))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 37.66/5.12 fof(f142,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|strict_rel_str(poset_of_lattice(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f141])).
% 37.66/5.12 fof(f143,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive_relstr(poset_of_lattice(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f141])).
% 37.66/5.12 fof(f144,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive_relstr(poset_of_lattice(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f141])).
% 37.66/5.12 fof(f145,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric_relstr(poset_of_lattice(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f141])).
% 37.66/5.12 fof(f146,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|rel_str(poset_of_lattice(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f141])).
% 37.66/5.12 fof(f147,plain,(
% 37.66/5.12 ![A,B]: ((((empty_carrier(A)|~lattice(A))|~latt_str(A))|~element(B,the_carrier(A)))|element(cast_to_el_of_LattPOSet(A,B),the_carrier(poset_of_lattice(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 37.66/5.12 fof(f148,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f147])).
% 37.66/5.12 fof(f149,plain,(
% 37.66/5.12 ![A,B]: ((((empty_carrier(A)|~latt_str(A))|empty_carrier(B))|~latt_str(B))|(strict_latt_str(k8_filter_1(A,B))&latt_str(k8_filter_1(A,B))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 37.66/5.12 fof(f150,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1)|strict_latt_str(k8_filter_1(X0,X1)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f149])).
% 37.66/5.12 fof(f151,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1)|latt_str(k8_filter_1(X0,X1)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f149])).
% 37.66/5.12 fof(f152,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|relation(relation_of_lattice(A)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 37.66/5.12 fof(f153,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation(relation_of_lattice(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f152])).
% 37.66/5.12 fof(f156,plain,(
% 37.66/5.12 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 37.66/5.12 fof(f157,plain,(
% 37.66/5.12 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f156])).
% 37.66/5.12 fof(f158,plain,(
% 37.66/5.12 ![A]: (~join_semilatt_str(A)|one_sorted_str(A))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 37.66/5.12 fof(f159,plain,(
% 37.66/5.12 ![X0]: (~join_semilatt_str(X0)|one_sorted_str(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f158])).
% 37.66/5.12 fof(f160,plain,(
% 37.66/5.12 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 37.66/5.12 fof(f161,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|meet_semilatt_str(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f160])).
% 37.66/5.12 fof(f162,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f160])).
% 37.66/5.12 fof(f165,plain,(
% 37.66/5.12 ![A]: (~meet_semilatt_str(A)|((function(the_L_meet(A))&quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)))&relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 37.66/5.12 fof(f166,plain,(
% 37.66/5.12 ![X0]: (~meet_semilatt_str(X0)|function(the_L_meet(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f165])).
% 37.66/5.12 fof(f169,plain,(
% 37.66/5.12 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 37.66/5.12 fof(f170,plain,(
% 37.66/5.12 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f169])).
% 37.66/5.12 fof(f171,plain,(
% 37.66/5.12 ![A]: (~join_semilatt_str(A)|((function(the_L_join(A))&quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)))&relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 37.66/5.12 fof(f172,plain,(
% 37.66/5.12 ![X0]: (~join_semilatt_str(X0)|function(the_L_join(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f171])).
% 37.66/5.12 fof(f187,plain,(
% 37.66/5.12 ![A]: element(sk0_6(A),A)),
% 37.66/5.12 inference(skolemization,[status(esa)],[f45])).
% 37.66/5.12 fof(f188,plain,(
% 37.66/5.12 ![X0]: (element(sk0_6(X0),X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f187])).
% 37.66/5.12 fof(f191,plain,(
% 37.66/5.12 ![A,B]: ((empty(A)|~relation_of2(B,A,A))|(~empty_carrier(rel_str_of(A,B))&strict_rel_str(rel_str_of(A,B))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 37.66/5.12 fof(f192,plain,(
% 37.66/5.12 ![X0,X1]: (empty(X0)|~relation_of2(X1,X0,X0)|~empty_carrier(rel_str_of(X0,X1)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f191])).
% 37.66/5.12 fof(f194,plain,(
% 37.66/5.12 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 37.66/5.12 fof(f195,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f194])).
% 37.66/5.12 fof(f196,plain,(
% 37.66/5.12 ![X0]: (~empty(powerset(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f49])).
% 37.66/5.12 fof(f197,plain,(
% 37.66/5.12 empty(empty_set)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f50])).
% 37.66/5.12 fof(f204,plain,(
% 37.66/5.12 ![A]: ((((~reflexive_relstr(A)|~transitive_relstr(A))|~antisymmetric_relstr(A))|~rel_str(A))|((((relation(the_InternalRel(A))&reflexive(the_InternalRel(A)))&antisymmetric(the_InternalRel(A)))&transitive(the_InternalRel(A)))&v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 37.66/5.12 fof(f206,plain,(
% 37.66/5.12 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|reflexive(the_InternalRel(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f204])).
% 37.66/5.12 fof(f207,plain,(
% 37.66/5.12 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|antisymmetric(the_InternalRel(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f204])).
% 37.66/5.12 fof(f208,plain,(
% 37.66/5.12 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|transitive(the_InternalRel(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f204])).
% 37.66/5.12 fof(f209,plain,(
% 37.66/5.12 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|v1_partfun1(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f204])).
% 37.66/5.12 fof(f220,plain,(
% 37.66/5.12 ![A,B]: (((((~reflexive(B)|~antisymmetric(B))|~transitive(B))|~v1_partfun1(B,A,A))|~relation_of2(B,A,A))|(((strict_rel_str(rel_str_of(A,B))&reflexive_relstr(rel_str_of(A,B)))&transitive_relstr(rel_str_of(A,B)))&antisymmetric_relstr(rel_str_of(A,B))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 37.66/5.12 fof(f222,plain,(
% 37.66/5.12 ![X0,X1]: (~reflexive(X0)|~antisymmetric(X0)|~transitive(X0)|~v1_partfun1(X0,X1,X1)|~relation_of2(X0,X1,X1)|reflexive_relstr(rel_str_of(X1,X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f220])).
% 37.66/5.12 fof(f223,plain,(
% 37.66/5.12 ![X0,X1]: (~reflexive(X0)|~antisymmetric(X0)|~transitive(X0)|~v1_partfun1(X0,X1,X1)|~relation_of2(X0,X1,X1)|transitive_relstr(rel_str_of(X1,X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f220])).
% 37.66/5.12 fof(f224,plain,(
% 37.66/5.12 ![X0,X1]: (~reflexive(X0)|~antisymmetric(X0)|~transitive(X0)|~v1_partfun1(X0,X1,X1)|~relation_of2(X0,X1,X1)|antisymmetric_relstr(rel_str_of(X1,X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f220])).
% 37.66/5.12 fof(f232,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|((((~empty_carrier(poset_of_lattice(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))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 37.66/5.12 fof(f233,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~empty_carrier(poset_of_lattice(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f232])).
% 37.66/5.12 fof(f246,plain,(
% 37.66/5.12 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f62])).
% 37.66/5.12 fof(f248,plain,(
% 37.66/5.12 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X0=X3)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f246])).
% 37.66/5.12 fof(f253,plain,(
% 37.66/5.12 (rel_str(sk0_8)&strict_rel_str(sk0_8))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f64])).
% 37.66/5.12 fof(f254,plain,(
% 37.66/5.12 rel_str(sk0_8)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f253])).
% 37.66/5.12 fof(f255,plain,(
% 37.66/5.12 strict_rel_str(sk0_8)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f253])).
% 37.66/5.12 fof(f256,plain,(
% 37.66/5.12 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 37.66/5.12 fof(f257,plain,(
% 37.66/5.12 ![A]: (empty(A)|(element(sk0_9(A),powerset(A))&~empty(sk0_9(A))))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f256])).
% 37.66/5.12 fof(f258,plain,(
% 37.66/5.12 ![X0]: (empty(X0)|element(sk0_9(X0),powerset(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f257])).
% 37.66/5.12 fof(f259,plain,(
% 37.66/5.12 ![X0]: (empty(X0)|~empty(sk0_9(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f257])).
% 37.66/5.12 fof(f262,plain,(
% 37.66/5.12 (((((rel_str(sk0_11)&~empty_carrier(sk0_11))&strict_rel_str(sk0_11))&reflexive_relstr(sk0_11))&transitive_relstr(sk0_11))&antisymmetric_relstr(sk0_11))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f67])).
% 37.66/5.12 fof(f263,plain,(
% 37.66/5.12 rel_str(sk0_11)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f262])).
% 37.66/5.12 fof(f264,plain,(
% 37.66/5.12 ~empty_carrier(sk0_11)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f262])).
% 37.66/5.12 fof(f265,plain,(
% 37.66/5.12 strict_rel_str(sk0_11)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f262])).
% 37.66/5.12 fof(f266,plain,(
% 37.66/5.12 reflexive_relstr(sk0_11)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f262])).
% 37.66/5.12 fof(f269,plain,(
% 37.66/5.12 ![A]: (element(sk0_12(A),powerset(A))&empty(sk0_12(A)))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f68])).
% 37.66/5.12 fof(f270,plain,(
% 37.66/5.12 ![X0]: (element(sk0_12(X0),powerset(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f269])).
% 37.66/5.12 fof(f271,plain,(
% 37.66/5.12 ![X0]: (empty(sk0_12(X0)))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f269])).
% 37.66/5.12 fof(f274,plain,(
% 37.66/5.12 (latt_str(sk0_14)&strict_latt_str(sk0_14))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f70])).
% 37.66/5.12 fof(f275,plain,(
% 37.66/5.12 latt_str(sk0_14)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f274])).
% 37.66/5.12 fof(f276,plain,(
% 37.66/5.12 strict_latt_str(sk0_14)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f274])).
% 37.66/5.12 fof(f284,plain,(
% 37.66/5.12 ((latt_str(sk0_17)&~empty_carrier(sk0_17))&strict_latt_str(sk0_17))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f73])).
% 37.66/5.12 fof(f285,plain,(
% 37.66/5.12 latt_str(sk0_17)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f284])).
% 37.66/5.12 fof(f286,plain,(
% 37.66/5.12 ~empty_carrier(sk0_17)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f284])).
% 37.66/5.12 fof(f287,plain,(
% 37.66/5.12 strict_latt_str(sk0_17)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f284])).
% 37.66/5.12 fof(f288,plain,(
% 37.66/5.12 (((((((((latt_str(sk0_18)&~empty_carrier(sk0_18))&strict_latt_str(sk0_18))&join_commutative(sk0_18))&join_associative(sk0_18))&meet_commutative(sk0_18))&meet_associative(sk0_18))&meet_absorbing(sk0_18))&join_absorbing(sk0_18))&lattice(sk0_18))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f74])).
% 37.66/5.12 fof(f289,plain,(
% 37.66/5.12 latt_str(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f290,plain,(
% 37.66/5.12 ~empty_carrier(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f291,plain,(
% 37.66/5.12 strict_latt_str(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f292,plain,(
% 37.66/5.12 join_commutative(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f293,plain,(
% 37.66/5.12 join_associative(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f294,plain,(
% 37.66/5.12 meet_commutative(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f295,plain,(
% 37.66/5.12 meet_associative(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f296,plain,(
% 37.66/5.12 meet_absorbing(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f297,plain,(
% 37.66/5.12 join_absorbing(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f298,plain,(
% 37.66/5.12 lattice(sk0_18)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f288])).
% 37.66/5.12 fof(f299,plain,(
% 37.66/5.12 ![A,B,C,D]: ((((((((empty_carrier(A)|~lattice(A))|~latt_str(A))|empty_carrier(B))|~lattice(B))|~latt_str(B))|~element(C,the_carrier(A)))|~element(D,the_carrier(B)))|k10_filter_1(A,B,C,D)=ordered_pair(C,D))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 37.66/5.12 fof(f300,plain,(
% 37.66/5.12 ![X0,X1,X2,X3]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(X0))|~element(X3,the_carrier(X1))|k10_filter_1(X0,X1,X2,X3)=ordered_pair(X2,X3))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f299])).
% 37.66/5.12 fof(f301,plain,(
% 37.66/5.12 ![A,B,C,D]: ((((empty(A)|empty(B))|~element(C,A))|~element(D,B))|ordered_pair_as_product_element(A,B,C,D)=ordered_pair(C,D))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 37.66/5.12 fof(f302,plain,(
% 37.66/5.12 ![X0,X1,X2,X3]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|ordered_pair_as_product_element(X0,X1,X2,X3)=ordered_pair(X2,X3))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f301])).
% 37.66/5.12 fof(f303,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|k2_lattice3(A)=relation_of_lattice(A))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 37.66/5.12 fof(f304,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|k2_lattice3(X0)=relation_of_lattice(X0))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f303])).
% 37.66/5.12 fof(f305,plain,(
% 37.66/5.12 ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 37.66/5.12 inference(NNF_transformation,[status(esa)],[f78])).
% 37.66/5.12 fof(f306,plain,(
% 37.66/5.12 (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 37.66/5.12 inference(miniscoping,[status(esa)],[f305])).
% 37.66/5.12 fof(f307,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f306])).
% 37.66/5.12 fof(f313,plain,(
% 37.66/5.12 ![A,B,C]: (((((empty_carrier(A)|~reflexive_relstr(A))|~rel_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|(related_reflexive(A,B,C)<=>related(A,B,C)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 37.66/5.12 fof(f314,plain,(
% 37.66/5.12 ![A,B,C]: (((((empty_carrier(A)|~reflexive_relstr(A))|~rel_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|((~related_reflexive(A,B,C)|related(A,B,C))&(related_reflexive(A,B,C)|~related(A,B,C))))),
% 37.66/5.12 inference(NNF_transformation,[status(esa)],[f313])).
% 37.66/5.12 fof(f315,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|~related_reflexive(X0,X1,X2)|related(X0,X1,X2))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f314])).
% 37.66/5.12 fof(f316,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|related_reflexive(X0,X1,X2)|~related(X0,X1,X2))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f314])).
% 37.66/5.12 fof(f319,plain,(
% 37.66/5.12 ![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))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 37.66/5.12 fof(f320,plain,(
% 37.66/5.12 ![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))),
% 37.66/5.12 inference(miniscoping,[status(esa)],[f319])).
% 37.66/5.12 fof(f321,plain,(
% 37.66/5.12 ![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))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f320])).
% 37.66/5.12 fof(f322,plain,(
% 37.66/5.12 ![A,B,C]: (((((empty_carrier(A)|~reflexive_relstr(A))|~rel_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|related_reflexive(A,B,B))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 37.66/5.12 fof(f323,plain,(
% 37.66/5.12 ![A,B]: (((((empty_carrier(A)|~reflexive_relstr(A))|~rel_str(A))|~element(B,the_carrier(A)))|(![C]: ~element(C,the_carrier(A))))|related_reflexive(A,B,B))),
% 37.66/5.12 inference(miniscoping,[status(esa)],[f322])).
% 37.66/5.12 fof(f324,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|related_reflexive(X0,X1,X1))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f323])).
% 37.66/5.12 fof(f325,plain,(
% 37.66/5.12 ![A,B]: (~in(A,B)|element(A,B))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 37.66/5.12 fof(f326,plain,(
% 37.66/5.12 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f325])).
% 37.66/5.12 fof(f327,plain,(
% 37.66/5.12 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f85])).
% 37.66/5.12 fof(f328,plain,(
% 37.66/5.12 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f327])).
% 37.66/5.12 fof(f329,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|(in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))<=>below_refl(A,B,C)))))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 37.66/5.12 fof(f330,plain,(
% 37.66/5.12 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|((~in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))|below_refl(A,B,C))&(in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))|~below_refl(A,B,C))))))))),
% 37.66/5.12 inference(NNF_transformation,[status(esa)],[f329])).
% 37.66/5.12 fof(f331,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|~in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))|below_refl(X0,X1,X2))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f330])).
% 37.66/5.12 fof(f332,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))|~below_refl(X0,X1,X2))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f330])).
% 37.66/5.12 fof(f337,plain,(
% 37.66/5.12 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 37.66/5.12 fof(f338,plain,(
% 37.66/5.12 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 37.66/5.12 inference(miniscoping,[status(esa)],[f337])).
% 37.66/5.12 fof(f339,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f338])).
% 37.66/5.12 fof(f340,plain,(
% 37.66/5.12 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 37.66/5.12 fof(f341,plain,(
% 37.66/5.12 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 37.66/5.12 inference(miniscoping,[status(esa)],[f340])).
% 37.66/5.12 fof(f342,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f341])).
% 37.66/5.12 fof(f343,plain,(
% 37.66/5.12 ![A]: (~empty(A)|A=empty_set)),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 37.66/5.12 fof(f344,plain,(
% 37.66/5.12 ![X0]: (~empty(X0)|X0=empty_set)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f343])).
% 37.66/5.12 fof(f345,plain,(
% 37.66/5.12 ![A,B]: (~in(A,B)|~empty(B))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 37.66/5.12 fof(f346,plain,(
% 37.66/5.12 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 37.66/5.12 inference(miniscoping,[status(esa)],[f345])).
% 37.66/5.12 fof(f347,plain,(
% 37.66/5.12 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f346])).
% 37.66/5.12 fof(f348,plain,(
% 37.66/5.12 (?[A]: (((~empty_carrier(A)&lattice(A))&latt_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&(below_refl(A,B,C)<~>related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)))))))))),
% 37.66/5.12 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 37.66/5.12 fof(f349,plain,(
% 37.66/5.12 ?[A]: (((~empty_carrier(A)&lattice(A))&latt_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&((below_refl(A,B,C)|related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)))&(~below_refl(A,B,C)|~related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)))))))))),
% 37.66/5.12 inference(NNF_transformation,[status(esa)],[f348])).
% 37.66/5.12 fof(f350,plain,(
% 37.66/5.12 (((~empty_carrier(sk0_19)&lattice(sk0_19))&latt_str(sk0_19))&(element(sk0_20,the_carrier(sk0_19))&(element(sk0_21,the_carrier(sk0_19))&((below_refl(sk0_19,sk0_20,sk0_21)|related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),cast_to_el_of_LattPOSet(sk0_19,sk0_21)))&(~below_refl(sk0_19,sk0_20,sk0_21)|~related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),cast_to_el_of_LattPOSet(sk0_19,sk0_21)))))))),
% 37.66/5.12 inference(skolemization,[status(esa)],[f349])).
% 37.66/5.12 fof(f351,plain,(
% 37.66/5.12 ~empty_carrier(sk0_19)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f350])).
% 37.66/5.12 fof(f352,plain,(
% 37.66/5.12 lattice(sk0_19)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f350])).
% 37.66/5.12 fof(f353,plain,(
% 37.66/5.12 latt_str(sk0_19)),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f350])).
% 37.66/5.12 fof(f354,plain,(
% 37.66/5.12 element(sk0_20,the_carrier(sk0_19))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f350])).
% 37.66/5.12 fof(f355,plain,(
% 37.66/5.12 element(sk0_21,the_carrier(sk0_19))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f350])).
% 37.66/5.12 fof(f356,plain,(
% 37.66/5.12 below_refl(sk0_19,sk0_20,sk0_21)|related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),cast_to_el_of_LattPOSet(sk0_19,sk0_21))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f350])).
% 37.66/5.12 fof(f357,plain,(
% 37.66/5.12 ~below_refl(sk0_19,sk0_20,sk0_21)|~related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),cast_to_el_of_LattPOSet(sk0_19,sk0_21))),
% 37.66/5.12 inference(cnf_transformation,[status(esa)],[f350])).
% 37.66/5.12 fof(f361,plain,(
% 37.66/5.12 spl0_0 <=> below_refl(sk0_19,sk0_20,sk0_21)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f362,plain,(
% 37.66/5.12 below_refl(sk0_19,sk0_20,sk0_21)|~spl0_0),
% 37.66/5.12 inference(component_clause,[status(thm)],[f361])).
% 37.66/5.12 fof(f364,plain,(
% 37.66/5.12 spl0_1 <=> related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),cast_to_el_of_LattPOSet(sk0_19,sk0_21))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f365,plain,(
% 37.66/5.12 related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),cast_to_el_of_LattPOSet(sk0_19,sk0_21))|~spl0_1),
% 37.66/5.12 inference(component_clause,[status(thm)],[f364])).
% 37.66/5.12 fof(f366,plain,(
% 37.66/5.12 ~related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),cast_to_el_of_LattPOSet(sk0_19,sk0_21))|spl0_1),
% 37.66/5.12 inference(component_clause,[status(thm)],[f364])).
% 37.66/5.12 fof(f367,plain,(
% 37.66/5.12 spl0_0|spl0_1),
% 37.66/5.12 inference(split_clause,[status(thm)],[f356,f361,f364])).
% 37.66/5.12 fof(f368,plain,(
% 37.66/5.12 ~spl0_0|~spl0_1),
% 37.66/5.12 inference(split_clause,[status(thm)],[f357,f361,f364])).
% 37.66/5.12 fof(f369,plain,(
% 37.66/5.12 spl0_2 <=> empty_carrier(sk0_19)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f370,plain,(
% 37.66/5.12 empty_carrier(sk0_19)|~spl0_2),
% 37.66/5.12 inference(component_clause,[status(thm)],[f369])).
% 37.66/5.12 fof(f372,plain,(
% 37.66/5.12 spl0_3 <=> latt_str(sk0_19)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f374,plain,(
% 37.66/5.12 ~latt_str(sk0_19)|spl0_3),
% 37.66/5.12 inference(component_clause,[status(thm)],[f372])).
% 37.66/5.12 fof(f375,plain,(
% 37.66/5.12 spl0_4 <=> ~element(X0,the_carrier(sk0_19))|cast_to_el_of_LattPOSet(sk0_19,X0)=X0),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f376,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_19))|cast_to_el_of_LattPOSet(sk0_19,X0)=X0|~spl0_4)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f375])).
% 37.66/5.12 fof(f378,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|cast_to_el_of_LattPOSet(sk0_19,X0)=X0)),
% 37.66/5.12 inference(resolution,[status(thm)],[f119,f352])).
% 37.66/5.12 fof(f379,plain,(
% 37.66/5.12 spl0_2|~spl0_3|spl0_4),
% 37.66/5.12 inference(split_clause,[status(thm)],[f378,f369,f372,f375])).
% 37.66/5.12 fof(f380,plain,(
% 37.66/5.12 $false|spl0_3),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f374,f353])).
% 37.66/5.12 fof(f381,plain,(
% 37.66/5.12 spl0_3),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f380])).
% 37.66/5.12 fof(f382,plain,(
% 37.66/5.12 $false|~spl0_2),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f370,f351])).
% 37.66/5.12 fof(f383,plain,(
% 37.66/5.12 ~spl0_2),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f382])).
% 37.66/5.12 fof(f384,plain,(
% 37.66/5.12 cast_to_el_of_LattPOSet(sk0_19,sk0_21)=sk0_21|~spl0_4),
% 37.66/5.12 inference(resolution,[status(thm)],[f376,f355])).
% 37.66/5.12 fof(f385,plain,(
% 37.66/5.12 cast_to_el_of_LattPOSet(sk0_19,sk0_20)=sk0_20|~spl0_4),
% 37.66/5.12 inference(resolution,[status(thm)],[f376,f354])).
% 37.66/5.12 fof(f386,plain,(
% 37.66/5.12 ~related_reflexive(poset_of_lattice(sk0_19),cast_to_el_of_LattPOSet(sk0_19,sk0_20),sk0_21)|~spl0_4|spl0_1),
% 37.66/5.12 inference(backward_demodulation,[status(thm)],[f384,f366])).
% 37.66/5.12 fof(f387,plain,(
% 37.66/5.12 ~related_reflexive(poset_of_lattice(sk0_19),sk0_20,sk0_21)|~spl0_4|spl0_1),
% 37.66/5.12 inference(forward_demodulation,[status(thm)],[f385,f386])).
% 37.66/5.12 fof(f388,plain,(
% 37.66/5.12 spl0_5 <=> ~element(X0,the_carrier(sk0_19))|element(cast_to_el_of_LattPOSet(sk0_19,X0),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f389,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_19))|element(cast_to_el_of_LattPOSet(sk0_19,X0),the_carrier(poset_of_lattice(sk0_19)))|~spl0_5)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f388])).
% 37.66/5.12 fof(f391,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|element(cast_to_el_of_LattPOSet(sk0_19,X0),the_carrier(poset_of_lattice(sk0_19))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f148,f352])).
% 37.66/5.12 fof(f392,plain,(
% 37.66/5.12 spl0_2|~spl0_3|spl0_5),
% 37.66/5.12 inference(split_clause,[status(thm)],[f391,f369,f372,f388])).
% 37.66/5.12 fof(f393,plain,(
% 37.66/5.12 spl0_6 <=> element(sk0_20,the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f395,plain,(
% 37.66/5.12 ~element(sk0_20,the_carrier(sk0_19))|spl0_6),
% 37.66/5.12 inference(component_clause,[status(thm)],[f393])).
% 37.66/5.12 fof(f396,plain,(
% 37.66/5.12 spl0_7 <=> element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f397,plain,(
% 37.66/5.12 element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~spl0_7),
% 37.66/5.12 inference(component_clause,[status(thm)],[f396])).
% 37.66/5.12 fof(f399,plain,(
% 37.66/5.12 ~element(sk0_20,the_carrier(sk0_19))|element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~spl0_5|~spl0_4),
% 37.66/5.12 inference(paramodulation,[status(thm)],[f385,f389])).
% 37.66/5.12 fof(f400,plain,(
% 37.66/5.12 ~spl0_6|spl0_7|~spl0_5|~spl0_4),
% 37.66/5.12 inference(split_clause,[status(thm)],[f399,f393,f396,f388,f375])).
% 37.66/5.12 fof(f401,plain,(
% 37.66/5.12 spl0_8 <=> element(sk0_21,the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f403,plain,(
% 37.66/5.12 ~element(sk0_21,the_carrier(sk0_19))|spl0_8),
% 37.66/5.12 inference(component_clause,[status(thm)],[f401])).
% 37.66/5.12 fof(f404,plain,(
% 37.66/5.12 spl0_9 <=> element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f405,plain,(
% 37.66/5.12 element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|~spl0_9),
% 37.66/5.12 inference(component_clause,[status(thm)],[f404])).
% 37.66/5.12 fof(f407,plain,(
% 37.66/5.12 ~element(sk0_21,the_carrier(sk0_19))|element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|~spl0_5|~spl0_4),
% 37.66/5.12 inference(paramodulation,[status(thm)],[f384,f389])).
% 37.66/5.12 fof(f408,plain,(
% 37.66/5.12 ~spl0_8|spl0_9|~spl0_5|~spl0_4),
% 37.66/5.12 inference(split_clause,[status(thm)],[f407,f401,f404,f388,f375])).
% 37.66/5.12 fof(f409,plain,(
% 37.66/5.12 $false|spl0_6),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f395,f354])).
% 37.66/5.12 fof(f410,plain,(
% 37.66/5.12 spl0_6),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f409])).
% 37.66/5.12 fof(f411,plain,(
% 37.66/5.12 $false|spl0_8),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f403,f355])).
% 37.66/5.12 fof(f412,plain,(
% 37.66/5.12 spl0_8),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f411])).
% 37.66/5.12 fof(f413,plain,(
% 37.66/5.12 spl0_10 <=> empty_carrier(sk0_11)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f414,plain,(
% 37.66/5.12 empty_carrier(sk0_11)|~spl0_10),
% 37.66/5.12 inference(component_clause,[status(thm)],[f413])).
% 37.66/5.12 fof(f416,plain,(
% 37.66/5.12 spl0_11 <=> rel_str(sk0_11)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f418,plain,(
% 37.66/5.12 ~rel_str(sk0_11)|spl0_11),
% 37.66/5.12 inference(component_clause,[status(thm)],[f416])).
% 37.66/5.12 fof(f419,plain,(
% 37.66/5.12 spl0_12 <=> ~element(X0,the_carrier(sk0_11))|related_reflexive(sk0_11,X0,X0)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f422,plain,(
% 37.66/5.12 spl0_13 <=> ~element(X1,the_carrier(sk0_11))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f423,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_11))|~spl0_13)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f422])).
% 37.66/5.12 fof(f425,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(sk0_11)|~rel_str(sk0_11)|~element(X0,the_carrier(sk0_11))|~element(X1,the_carrier(sk0_11))|related_reflexive(sk0_11,X0,X0))),
% 37.66/5.12 inference(resolution,[status(thm)],[f266,f324])).
% 37.66/5.12 fof(f426,plain,(
% 37.66/5.12 spl0_10|~spl0_11|spl0_12|spl0_13),
% 37.66/5.12 inference(split_clause,[status(thm)],[f425,f413,f416,f419,f422])).
% 37.66/5.12 fof(f427,plain,(
% 37.66/5.12 $false|spl0_11),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f418,f263])).
% 37.66/5.12 fof(f428,plain,(
% 37.66/5.12 spl0_11),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f427])).
% 37.66/5.12 fof(f429,plain,(
% 37.66/5.12 spl0_14 <=> empty_carrier(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f430,plain,(
% 37.66/5.12 empty_carrier(sk0_18)|~spl0_14),
% 37.66/5.12 inference(component_clause,[status(thm)],[f429])).
% 37.66/5.12 fof(f432,plain,(
% 37.66/5.12 spl0_15 <=> meet_commutative(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f434,plain,(
% 37.66/5.12 ~meet_commutative(sk0_18)|spl0_15),
% 37.66/5.12 inference(component_clause,[status(thm)],[f432])).
% 37.66/5.12 fof(f435,plain,(
% 37.66/5.12 spl0_16 <=> join_absorbing(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f437,plain,(
% 37.66/5.12 ~join_absorbing(sk0_18)|spl0_16),
% 37.66/5.12 inference(component_clause,[status(thm)],[f435])).
% 37.66/5.12 fof(f438,plain,(
% 37.66/5.12 spl0_17 <=> latt_str(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f440,plain,(
% 37.66/5.12 ~latt_str(sk0_18)|spl0_17),
% 37.66/5.12 inference(component_clause,[status(thm)],[f438])).
% 37.66/5.12 fof(f441,plain,(
% 37.66/5.12 spl0_18 <=> ~element(X0,the_carrier(sk0_18))|below_refl(sk0_18,X0,X0)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f444,plain,(
% 37.66/5.12 spl0_19 <=> ~element(X1,the_carrier(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f445,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_18))|~spl0_19)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f444])).
% 37.66/5.12 fof(f447,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(sk0_18)|~meet_commutative(sk0_18)|~join_absorbing(sk0_18)|~latt_str(sk0_18)|~element(X0,the_carrier(sk0_18))|~element(X1,the_carrier(sk0_18))|below_refl(sk0_18,X0,X0))),
% 37.66/5.12 inference(resolution,[status(thm)],[f296,f321])).
% 37.66/5.12 fof(f448,plain,(
% 37.66/5.12 spl0_14|~spl0_15|~spl0_16|~spl0_17|spl0_18|spl0_19),
% 37.66/5.12 inference(split_clause,[status(thm)],[f447,f429,f432,f435,f438,f441,f444])).
% 37.66/5.12 fof(f449,plain,(
% 37.66/5.12 $false|spl0_17),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f440,f289])).
% 37.66/5.12 fof(f450,plain,(
% 37.66/5.12 spl0_17),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f449])).
% 37.66/5.12 fof(f451,plain,(
% 37.66/5.12 $false|spl0_16),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f437,f297])).
% 37.66/5.12 fof(f452,plain,(
% 37.66/5.12 spl0_16),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f451])).
% 37.66/5.12 fof(f453,plain,(
% 37.66/5.12 $false|spl0_15),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f434,f294])).
% 37.66/5.12 fof(f454,plain,(
% 37.66/5.12 spl0_15),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f453])).
% 37.66/5.12 fof(f455,plain,(
% 37.66/5.12 $false|~spl0_14),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f430,f290])).
% 37.66/5.12 fof(f456,plain,(
% 37.66/5.12 ~spl0_14),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f455])).
% 37.66/5.12 fof(f457,plain,(
% 37.66/5.12 spl0_20 <=> meet_absorbing(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f459,plain,(
% 37.66/5.12 ~meet_absorbing(sk0_18)|spl0_20),
% 37.66/5.12 inference(component_clause,[status(thm)],[f457])).
% 37.66/5.12 fof(f462,plain,(
% 37.66/5.12 $false|spl0_20),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f459,f296])).
% 37.66/5.12 fof(f463,plain,(
% 37.66/5.12 spl0_20),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f462])).
% 37.66/5.12 fof(f464,plain,(
% 37.66/5.12 spl0_21 <=> ~element(X0,the_carrier(sk0_18))|element(cast_to_el_of_LattPOSet(sk0_18,X0),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f465,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_18))|element(cast_to_el_of_LattPOSet(sk0_18,X0),the_carrier(poset_of_lattice(sk0_18)))|~spl0_21)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f464])).
% 37.66/5.12 fof(f467,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(sk0_18)|~latt_str(sk0_18)|~element(X0,the_carrier(sk0_18))|element(cast_to_el_of_LattPOSet(sk0_18,X0),the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f298,f148])).
% 37.66/5.12 fof(f468,plain,(
% 37.66/5.12 spl0_14|~spl0_17|spl0_21),
% 37.66/5.12 inference(split_clause,[status(thm)],[f467,f429,f438,f464])).
% 37.66/5.12 fof(f469,plain,(
% 37.66/5.12 spl0_22 <=> ~element(X0,the_carrier(sk0_18))|cast_to_el_of_LattPOSet(sk0_18,X0)=X0),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f470,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_18))|cast_to_el_of_LattPOSet(sk0_18,X0)=X0|~spl0_22)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f469])).
% 37.66/5.12 fof(f472,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(sk0_18)|~latt_str(sk0_18)|~element(X0,the_carrier(sk0_18))|cast_to_el_of_LattPOSet(sk0_18,X0)=X0)),
% 37.66/5.12 inference(resolution,[status(thm)],[f298,f119])).
% 37.66/5.12 fof(f473,plain,(
% 37.66/5.12 spl0_14|~spl0_17|spl0_22),
% 37.66/5.12 inference(split_clause,[status(thm)],[f472,f429,f438,f469])).
% 37.66/5.12 fof(f474,plain,(
% 37.66/5.12 $false|~spl0_19),
% 37.66/5.12 inference(resolution,[status(thm)],[f188,f445])).
% 37.66/5.12 fof(f475,plain,(
% 37.66/5.12 ~spl0_19),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f474])).
% 37.66/5.12 fof(f476,plain,(
% 37.66/5.12 $false|~spl0_13),
% 37.66/5.12 inference(resolution,[status(thm)],[f188,f423])).
% 37.66/5.12 fof(f477,plain,(
% 37.66/5.12 ~spl0_13),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f476])).
% 37.66/5.12 fof(f478,plain,(
% 37.66/5.12 cast_to_el_of_LattPOSet(sk0_19,sk0_6(the_carrier(sk0_19)))=sk0_6(the_carrier(sk0_19))|~spl0_4),
% 37.66/5.12 inference(resolution,[status(thm)],[f188,f376])).
% 37.66/5.12 fof(f479,plain,(
% 37.66/5.12 $false|~spl0_10),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f414,f264])).
% 37.66/5.12 fof(f480,plain,(
% 37.66/5.12 ~spl0_10),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f479])).
% 37.66/5.12 fof(f481,plain,(
% 37.66/5.12 spl0_23 <=> element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f483,plain,(
% 37.66/5.12 ~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|spl0_23),
% 37.66/5.12 inference(component_clause,[status(thm)],[f481])).
% 37.66/5.12 fof(f484,plain,(
% 37.66/5.12 spl0_24 <=> element(sk0_6(the_carrier(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f485,plain,(
% 37.66/5.12 element(sk0_6(the_carrier(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))|~spl0_24),
% 37.66/5.12 inference(component_clause,[status(thm)],[f484])).
% 37.66/5.12 fof(f487,plain,(
% 37.66/5.12 ~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|element(sk0_6(the_carrier(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))|~spl0_5|~spl0_4),
% 37.66/5.12 inference(paramodulation,[status(thm)],[f478,f389])).
% 37.66/5.12 fof(f488,plain,(
% 37.66/5.12 ~spl0_23|spl0_24|~spl0_5|~spl0_4),
% 37.66/5.12 inference(split_clause,[status(thm)],[f487,f481,f484,f388,f375])).
% 37.66/5.12 fof(f489,plain,(
% 37.66/5.12 $false|spl0_23),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f483,f188])).
% 37.66/5.12 fof(f490,plain,(
% 37.66/5.12 spl0_23),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f489])).
% 37.66/5.12 fof(f491,plain,(
% 37.66/5.12 cast_to_el_of_LattPOSet(sk0_18,sk0_6(the_carrier(sk0_18)))=sk0_6(the_carrier(sk0_18))|~spl0_22),
% 37.66/5.12 inference(resolution,[status(thm)],[f470,f188])).
% 37.66/5.12 fof(f492,plain,(
% 37.66/5.12 spl0_25 <=> element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f494,plain,(
% 37.66/5.12 ~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|spl0_25),
% 37.66/5.12 inference(component_clause,[status(thm)],[f492])).
% 37.66/5.12 fof(f495,plain,(
% 37.66/5.12 spl0_26 <=> element(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f496,plain,(
% 37.66/5.12 element(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_26),
% 37.66/5.12 inference(component_clause,[status(thm)],[f495])).
% 37.66/5.12 fof(f498,plain,(
% 37.66/5.12 ~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|element(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_21|~spl0_22),
% 37.66/5.12 inference(paramodulation,[status(thm)],[f491,f465])).
% 37.66/5.12 fof(f499,plain,(
% 37.66/5.12 ~spl0_25|spl0_26|~spl0_21|~spl0_22),
% 37.66/5.12 inference(split_clause,[status(thm)],[f498,f492,f495,f464,f469])).
% 37.66/5.12 fof(f500,plain,(
% 37.66/5.12 $false|spl0_25),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f494,f188])).
% 37.66/5.12 fof(f501,plain,(
% 37.66/5.12 spl0_25),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f500])).
% 37.66/5.12 fof(f502,plain,(
% 37.66/5.12 spl0_27 <=> empty(the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f503,plain,(
% 37.66/5.12 empty(the_carrier(poset_of_lattice(sk0_18)))|~spl0_27),
% 37.66/5.12 inference(component_clause,[status(thm)],[f502])).
% 37.66/5.12 fof(f505,plain,(
% 37.66/5.12 spl0_28 <=> in(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f508,plain,(
% 37.66/5.12 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f496])).
% 37.66/5.12 fof(f509,plain,(
% 37.66/5.12 spl0_27|spl0_28|~spl0_26),
% 37.66/5.12 inference(split_clause,[status(thm)],[f508,f502,f505,f495])).
% 37.66/5.12 fof(f510,plain,(
% 37.66/5.12 spl0_29 <=> empty(the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f511,plain,(
% 37.66/5.12 empty(the_carrier(poset_of_lattice(sk0_19)))|~spl0_29),
% 37.66/5.12 inference(component_clause,[status(thm)],[f510])).
% 37.66/5.12 fof(f513,plain,(
% 37.66/5.12 spl0_30 <=> in(sk0_6(the_carrier(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f516,plain,(
% 37.66/5.12 empty(the_carrier(poset_of_lattice(sk0_19)))|in(sk0_6(the_carrier(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))|~spl0_24),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f485])).
% 37.66/5.12 fof(f517,plain,(
% 37.66/5.12 spl0_29|spl0_30|~spl0_24),
% 37.66/5.12 inference(split_clause,[status(thm)],[f516,f510,f513,f484])).
% 37.66/5.12 fof(f518,plain,(
% 37.66/5.12 ![X0]: (empty(X0)|in(sk0_6(X0),X0))),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f188])).
% 37.66/5.12 fof(f519,plain,(
% 37.66/5.12 spl0_31 <=> in(cast_to_el_of_LattPOSet(sk0_18,X0),the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f520,plain,(
% 37.66/5.12 ![X0]: (in(cast_to_el_of_LattPOSet(sk0_18,X0),the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(sk0_18))|~spl0_31)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f519])).
% 37.66/5.12 fof(f522,plain,(
% 37.66/5.12 ![X0]: (empty(the_carrier(poset_of_lattice(sk0_18)))|in(cast_to_el_of_LattPOSet(sk0_18,X0),the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(sk0_18))|~spl0_21)),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f465])).
% 37.66/5.12 fof(f523,plain,(
% 37.66/5.12 spl0_27|spl0_31|~spl0_21),
% 37.66/5.12 inference(split_clause,[status(thm)],[f522,f502,f519,f464])).
% 37.66/5.12 fof(f524,plain,(
% 37.66/5.12 spl0_32 <=> in(cast_to_el_of_LattPOSet(sk0_19,X0),the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f525,plain,(
% 37.66/5.12 ![X0]: (in(cast_to_el_of_LattPOSet(sk0_19,X0),the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(sk0_19))|~spl0_32)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f524])).
% 37.66/5.12 fof(f527,plain,(
% 37.66/5.12 ![X0]: (empty(the_carrier(poset_of_lattice(sk0_19)))|in(cast_to_el_of_LattPOSet(sk0_19,X0),the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(sk0_19))|~spl0_5)),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f389])).
% 37.66/5.12 fof(f528,plain,(
% 37.66/5.12 spl0_29|spl0_32|~spl0_5),
% 37.66/5.12 inference(split_clause,[status(thm)],[f527,f510,f524,f388])).
% 37.66/5.12 fof(f529,plain,(
% 37.66/5.12 spl0_33 <=> in(sk0_21,the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f532,plain,(
% 37.66/5.12 empty(the_carrier(poset_of_lattice(sk0_19)))|in(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|~spl0_9),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f405])).
% 37.66/5.12 fof(f533,plain,(
% 37.66/5.12 spl0_29|spl0_33|~spl0_9),
% 37.66/5.12 inference(split_clause,[status(thm)],[f532,f510,f529,f404])).
% 37.66/5.12 fof(f534,plain,(
% 37.66/5.12 spl0_34 <=> empty(the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f535,plain,(
% 37.66/5.12 empty(the_carrier(sk0_19))|~spl0_34),
% 37.66/5.12 inference(component_clause,[status(thm)],[f534])).
% 37.66/5.12 fof(f537,plain,(
% 37.66/5.12 spl0_35 <=> in(sk0_21,the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f540,plain,(
% 37.66/5.12 empty(the_carrier(sk0_19))|in(sk0_21,the_carrier(sk0_19))),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f355])).
% 37.66/5.12 fof(f541,plain,(
% 37.66/5.12 spl0_34|spl0_35),
% 37.66/5.12 inference(split_clause,[status(thm)],[f540,f534,f537])).
% 37.66/5.12 fof(f542,plain,(
% 37.66/5.12 spl0_36 <=> in(sk0_20,the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f545,plain,(
% 37.66/5.12 empty(the_carrier(poset_of_lattice(sk0_19)))|in(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~spl0_7),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f397])).
% 37.66/5.12 fof(f546,plain,(
% 37.66/5.12 spl0_29|spl0_36|~spl0_7),
% 37.66/5.12 inference(split_clause,[status(thm)],[f545,f510,f542,f396])).
% 37.66/5.12 fof(f547,plain,(
% 37.66/5.12 spl0_37 <=> in(sk0_20,the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f550,plain,(
% 37.66/5.12 empty(the_carrier(sk0_19))|in(sk0_20,the_carrier(sk0_19))),
% 37.66/5.12 inference(resolution,[status(thm)],[f328,f354])).
% 37.66/5.12 fof(f551,plain,(
% 37.66/5.12 spl0_34|spl0_37),
% 37.66/5.12 inference(split_clause,[status(thm)],[f550,f534,f547])).
% 37.66/5.12 fof(f554,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|empty_carrier(X0)|~meet_commutative(X0)|~join_absorbing(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|below_refl(X0,X1,X1))),
% 37.66/5.12 inference(resolution,[status(thm)],[f107,f321])).
% 37.66/5.12 fof(f555,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|~meet_commutative(X0)|~join_absorbing(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|below_refl(X0,X1,X1))),
% 37.66/5.12 inference(duplicate_literals_removal,[status(esa)],[f554])).
% 37.66/5.12 fof(f556,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|~join_absorbing(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|below_refl(X0,X1,X1))),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f555,f105])).
% 37.66/5.12 fof(f560,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(poset_of_lattice(X0))|~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|related_reflexive(poset_of_lattice(X0),X1,X1))),
% 37.66/5.12 inference(resolution,[status(thm)],[f143,f324])).
% 37.66/5.12 fof(f561,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|related_reflexive(poset_of_lattice(X0),X1,X1))),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f560,f233])).
% 37.66/5.12 fof(f562,plain,(
% 37.66/5.12 ![X0,X1,X2]: (empty_carrier(poset_of_lattice(X0))|~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|~related_reflexive(poset_of_lattice(X0),X1,X2)|related(poset_of_lattice(X0),X1,X2)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0))),
% 37.66/5.12 inference(resolution,[status(thm)],[f315,f143])).
% 37.66/5.12 fof(f563,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0)))|~related_reflexive(poset_of_lattice(X0),X1,X2)|related(poset_of_lattice(X0),X1,X2)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0))),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f562,f233])).
% 37.66/5.12 fof(f564,plain,(
% 37.66/5.12 spl0_38 <=> ~element(X0,the_carrier(sk0_11))|~element(X1,the_carrier(sk0_11))|~related_reflexive(sk0_11,X0,X1)|related(sk0_11,X0,X1)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f567,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(sk0_11)|~rel_str(sk0_11)|~element(X0,the_carrier(sk0_11))|~element(X1,the_carrier(sk0_11))|~related_reflexive(sk0_11,X0,X1)|related(sk0_11,X0,X1))),
% 37.66/5.12 inference(resolution,[status(thm)],[f315,f266])).
% 37.66/5.12 fof(f568,plain,(
% 37.66/5.12 spl0_10|~spl0_11|spl0_38),
% 37.66/5.12 inference(split_clause,[status(thm)],[f567,f413,f416,f564])).
% 37.66/5.12 fof(f569,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(X1)))|~element(X2,the_carrier(poset_of_lattice(X1)))|~related_reflexive(poset_of_lattice(X1),X0,X2)|related(poset_of_lattice(X1),X0,X2)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))),
% 37.66/5.12 inference(resolution,[status(thm)],[f563,f146])).
% 37.66/5.12 fof(f570,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(X1)))|~element(X2,the_carrier(poset_of_lattice(X1)))|~related_reflexive(poset_of_lattice(X1),X0,X2)|related(poset_of_lattice(X1),X0,X2)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))),
% 37.66/5.12 inference(duplicate_literals_removal,[status(esa)],[f569])).
% 37.66/5.12 fof(f571,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(X1)))|~element(X0,the_carrier(poset_of_lattice(X1)))|related(poset_of_lattice(X1),X0,X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~rel_str(poset_of_lattice(X1))|~element(X0,the_carrier(poset_of_lattice(X1)))|~element(X2,the_carrier(poset_of_lattice(X1))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f570,f561])).
% 37.66/5.12 fof(f572,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(X1)))|related(poset_of_lattice(X1),X0,X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~rel_str(poset_of_lattice(X1))|~element(X2,the_carrier(poset_of_lattice(X1))))),
% 37.66/5.12 inference(duplicate_literals_removal,[status(esa)],[f571])).
% 37.66/5.12 fof(f573,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(X1)))|related(poset_of_lattice(X1),X0,X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(poset_of_lattice(X1))))),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f572,f146])).
% 37.66/5.12 fof(f576,plain,(
% 37.66/5.12 spl0_39 <=> rel_str(sk0_8)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f578,plain,(
% 37.66/5.12 ~rel_str(sk0_8)|spl0_39),
% 37.66/5.12 inference(component_clause,[status(thm)],[f576])).
% 37.66/5.12 fof(f579,plain,(
% 37.66/5.12 spl0_40 <=> sk0_8=rel_str_of(the_carrier(sk0_8),the_InternalRel(sk0_8))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f580,plain,(
% 37.66/5.12 sk0_8=rel_str_of(the_carrier(sk0_8),the_InternalRel(sk0_8))|~spl0_40),
% 37.66/5.12 inference(component_clause,[status(thm)],[f579])).
% 37.66/5.12 fof(f582,plain,(
% 37.66/5.12 ~rel_str(sk0_8)|sk0_8=rel_str_of(the_carrier(sk0_8),the_InternalRel(sk0_8))),
% 37.66/5.12 inference(resolution,[status(thm)],[f255,f96])).
% 37.66/5.12 fof(f583,plain,(
% 37.66/5.12 ~spl0_39|spl0_40),
% 37.66/5.12 inference(split_clause,[status(thm)],[f582,f576,f579])).
% 37.66/5.12 fof(f584,plain,(
% 37.66/5.12 $false|spl0_39),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f578,f254])).
% 37.66/5.12 fof(f585,plain,(
% 37.66/5.12 spl0_39),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f584])).
% 37.66/5.12 fof(f586,plain,(
% 37.66/5.12 spl0_41 <=> sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f587,plain,(
% 37.66/5.12 sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))|~spl0_41),
% 37.66/5.12 inference(component_clause,[status(thm)],[f586])).
% 37.66/5.12 fof(f589,plain,(
% 37.66/5.12 ~rel_str(sk0_11)|sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 37.66/5.12 inference(resolution,[status(thm)],[f265,f96])).
% 37.66/5.12 fof(f590,plain,(
% 37.66/5.12 ~spl0_11|spl0_41),
% 37.66/5.12 inference(split_clause,[status(thm)],[f589,f416,f586])).
% 37.66/5.12 fof(f591,plain,(
% 37.66/5.12 spl0_42 <=> latt_str(sk0_14)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f593,plain,(
% 37.66/5.12 ~latt_str(sk0_14)|spl0_42),
% 37.66/5.12 inference(component_clause,[status(thm)],[f591])).
% 37.66/5.12 fof(f594,plain,(
% 37.66/5.12 spl0_43 <=> sk0_14=latt_str_of(the_carrier(sk0_14),the_L_join(sk0_14),the_L_meet(sk0_14))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f597,plain,(
% 37.66/5.12 ~latt_str(sk0_14)|sk0_14=latt_str_of(the_carrier(sk0_14),the_L_join(sk0_14),the_L_meet(sk0_14))),
% 37.66/5.12 inference(resolution,[status(thm)],[f276,f98])).
% 37.66/5.12 fof(f598,plain,(
% 37.66/5.12 ~spl0_42|spl0_43),
% 37.66/5.12 inference(split_clause,[status(thm)],[f597,f591,f594])).
% 37.66/5.12 fof(f599,plain,(
% 37.66/5.12 $false|spl0_42),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f593,f275])).
% 37.66/5.12 fof(f600,plain,(
% 37.66/5.12 spl0_42),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f599])).
% 37.66/5.12 fof(f601,plain,(
% 37.66/5.12 spl0_44 <=> latt_str(sk0_17)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f603,plain,(
% 37.66/5.12 ~latt_str(sk0_17)|spl0_44),
% 37.66/5.12 inference(component_clause,[status(thm)],[f601])).
% 37.66/5.12 fof(f604,plain,(
% 37.66/5.12 spl0_45 <=> sk0_17=latt_str_of(the_carrier(sk0_17),the_L_join(sk0_17),the_L_meet(sk0_17))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f607,plain,(
% 37.66/5.12 ~latt_str(sk0_17)|sk0_17=latt_str_of(the_carrier(sk0_17),the_L_join(sk0_17),the_L_meet(sk0_17))),
% 37.66/5.12 inference(resolution,[status(thm)],[f287,f98])).
% 37.66/5.12 fof(f608,plain,(
% 37.66/5.12 ~spl0_44|spl0_45),
% 37.66/5.12 inference(split_clause,[status(thm)],[f607,f601,f604])).
% 37.66/5.12 fof(f609,plain,(
% 37.66/5.12 $false|spl0_44),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f603,f285])).
% 37.66/5.12 fof(f610,plain,(
% 37.66/5.12 spl0_44),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f609])).
% 37.66/5.12 fof(f611,plain,(
% 37.66/5.12 spl0_46 <=> sk0_18=latt_str_of(the_carrier(sk0_18),the_L_join(sk0_18),the_L_meet(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f614,plain,(
% 37.66/5.12 ~latt_str(sk0_18)|sk0_18=latt_str_of(the_carrier(sk0_18),the_L_join(sk0_18),the_L_meet(sk0_18))),
% 37.66/5.12 inference(resolution,[status(thm)],[f291,f98])).
% 37.66/5.12 fof(f615,plain,(
% 37.66/5.12 ~spl0_17|spl0_46),
% 37.66/5.12 inference(split_clause,[status(thm)],[f614,f438,f611])).
% 37.66/5.12 fof(f619,plain,(
% 37.66/5.12 spl0_47 <=> join_commutative(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f621,plain,(
% 37.66/5.12 ~join_commutative(sk0_18)|spl0_47),
% 37.66/5.12 inference(component_clause,[status(thm)],[f619])).
% 37.66/5.12 fof(f622,plain,(
% 37.66/5.12 spl0_48 <=> meet_associative(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f624,plain,(
% 37.66/5.12 ~meet_associative(sk0_18)|spl0_48),
% 37.66/5.12 inference(component_clause,[status(thm)],[f622])).
% 37.66/5.12 fof(f625,plain,(
% 37.66/5.12 spl0_49 <=> lattice(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f628,plain,(
% 37.66/5.12 ~latt_str(sk0_18)|empty_carrier(sk0_18)|~join_commutative(sk0_18)|~meet_commutative(sk0_18)|~meet_associative(sk0_18)|~meet_absorbing(sk0_18)|~join_absorbing(sk0_18)|lattice(sk0_18)),
% 37.66/5.12 inference(resolution,[status(thm)],[f114,f293])).
% 37.66/5.12 fof(f629,plain,(
% 37.66/5.12 ~spl0_17|spl0_14|~spl0_47|~spl0_15|~spl0_48|~spl0_20|~spl0_16|spl0_49),
% 37.66/5.12 inference(split_clause,[status(thm)],[f628,f438,f429,f619,f432,f622,f457,f435,f625])).
% 37.66/5.12 fof(f630,plain,(
% 37.66/5.12 spl0_50 <=> join_associative(sk0_18)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f632,plain,(
% 37.66/5.12 ~join_associative(sk0_18)|spl0_50),
% 37.66/5.12 inference(component_clause,[status(thm)],[f630])).
% 37.66/5.12 fof(f641,plain,(
% 37.66/5.12 $false|spl0_48),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f624,f295])).
% 37.66/5.12 fof(f642,plain,(
% 37.66/5.12 spl0_48),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f641])).
% 37.66/5.12 fof(f643,plain,(
% 37.66/5.12 $false|spl0_47),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f621,f292])).
% 37.66/5.12 fof(f644,plain,(
% 37.66/5.12 spl0_47),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f643])).
% 37.66/5.12 fof(f645,plain,(
% 37.66/5.12 spl0_51 <=> poset_of_lattice(sk0_18)=rel_str_of(the_carrier(sk0_18),k2_lattice3(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f648,plain,(
% 37.66/5.12 empty_carrier(sk0_18)|~latt_str(sk0_18)|poset_of_lattice(sk0_18)=rel_str_of(the_carrier(sk0_18),k2_lattice3(sk0_18))),
% 37.66/5.12 inference(resolution,[status(thm)],[f117,f298])).
% 37.66/5.12 fof(f649,plain,(
% 37.66/5.12 spl0_14|~spl0_17|spl0_51),
% 37.66/5.12 inference(split_clause,[status(thm)],[f648,f429,f438,f645])).
% 37.66/5.12 fof(f650,plain,(
% 37.66/5.12 spl0_52 <=> poset_of_lattice(sk0_19)=rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f653,plain,(
% 37.66/5.12 empty_carrier(sk0_19)|~latt_str(sk0_19)|poset_of_lattice(sk0_19)=rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19))),
% 37.66/5.12 inference(resolution,[status(thm)],[f117,f352])).
% 37.66/5.12 fof(f654,plain,(
% 37.66/5.12 spl0_2|~spl0_3|spl0_52),
% 37.66/5.12 inference(split_clause,[status(thm)],[f653,f369,f372,f650])).
% 37.66/5.12 fof(f662,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|~element(X1,the_carrier(poset_of_lattice(X0)))|in(ordered_pair(X1,X1),the_InternalRel(poset_of_lattice(X0)))|~element(X1,the_carrier(poset_of_lattice(X0)))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X2,the_carrier(poset_of_lattice(X0))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f123,f573])).
% 37.66/5.12 fof(f663,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|in(ordered_pair(X1,X1),the_InternalRel(poset_of_lattice(X0)))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X2,the_carrier(poset_of_lattice(X0))))),
% 37.66/5.12 inference(duplicate_literals_removal,[status(esa)],[f662])).
% 37.66/5.12 fof(f664,plain,(
% 37.66/5.12 ![X0,X1,X2]: (~element(X0,the_carrier(poset_of_lattice(X1)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(X1)))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(poset_of_lattice(X1))))),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f663,f146])).
% 37.66/5.12 fof(f665,plain,(
% 37.66/5.12 spl0_53 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f666,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f665])).
% 37.66/5.12 fof(f668,plain,(
% 37.66/5.12 spl0_54 <=> ~element(X1,the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f669,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~spl0_54)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f668])).
% 37.66/5.12 fof(f671,plain,(
% 37.66/5.12 ![X0,X1]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_18)))|empty_carrier(sk0_18)|~latt_str(sk0_18)|~element(X1,the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f664,f298])).
% 37.66/5.12 fof(f672,plain,(
% 37.66/5.12 spl0_53|spl0_14|~spl0_17|spl0_54),
% 37.66/5.12 inference(split_clause,[status(thm)],[f671,f665,f429,f438,f668])).
% 37.66/5.12 fof(f673,plain,(
% 37.66/5.12 spl0_55 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_19)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f674,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_19)))|~spl0_55)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f673])).
% 37.66/5.12 fof(f676,plain,(
% 37.66/5.12 spl0_56 <=> ~element(X1,the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f677,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~spl0_56)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f676])).
% 37.66/5.12 fof(f679,plain,(
% 37.66/5.12 ![X0,X1]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_19)))|empty_carrier(sk0_19)|~latt_str(sk0_19)|~element(X1,the_carrier(poset_of_lattice(sk0_19))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f664,f352])).
% 37.66/5.12 fof(f680,plain,(
% 37.66/5.12 spl0_55|spl0_2|~spl0_3|spl0_56),
% 37.66/5.12 inference(split_clause,[status(thm)],[f679,f673,f369,f372,f676])).
% 37.66/5.12 fof(f681,plain,(
% 37.66/5.12 spl0_57 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),X0,X0)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f682,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),X0,X0)|~spl0_57)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f681])).
% 37.66/5.12 fof(f684,plain,(
% 37.66/5.12 spl0_58 <=> rel_str(poset_of_lattice(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f686,plain,(
% 37.66/5.12 ~rel_str(poset_of_lattice(sk0_19))|spl0_58),
% 37.66/5.12 inference(component_clause,[status(thm)],[f684])).
% 37.66/5.12 fof(f687,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~rel_str(poset_of_lattice(sk0_19))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),X0,X0)|~spl0_55)),
% 37.66/5.12 inference(resolution,[status(thm)],[f674,f124])).
% 37.66/5.12 fof(f688,plain,(
% 37.66/5.12 spl0_57|~spl0_58|~spl0_55),
% 37.66/5.12 inference(split_clause,[status(thm)],[f687,f681,f684,f673])).
% 37.66/5.12 fof(f689,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|element(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_19)))|~spl0_55)),
% 37.66/5.12 inference(resolution,[status(thm)],[f674,f326])).
% 37.66/5.12 fof(f691,plain,(
% 37.66/5.12 $false|~spl0_56|~spl0_24),
% 37.66/5.12 inference(backward_subsumption_resolution,[status(thm)],[f485,f677])).
% 37.66/5.12 fof(f692,plain,(
% 37.66/5.12 ~spl0_56|~spl0_24),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f691])).
% 37.66/5.12 fof(f693,plain,(
% 37.66/5.12 ![X0]: (~latt_str(X0)|one_sorted_str(X0))),
% 37.66/5.12 inference(resolution,[status(thm)],[f162,f159])).
% 37.66/5.12 fof(f697,plain,(
% 37.66/5.12 ![X0]: (sk0_12(X0)=empty_set)),
% 37.66/5.12 inference(resolution,[status(thm)],[f344,f271])).
% 37.66/5.12 fof(f699,plain,(
% 37.66/5.12 the_carrier(poset_of_lattice(sk0_18))=empty_set|~spl0_27),
% 37.66/5.12 inference(resolution,[status(thm)],[f344,f503])).
% 37.66/5.12 fof(f700,plain,(
% 37.66/5.12 the_carrier(poset_of_lattice(sk0_19))=empty_set|~spl0_29),
% 37.66/5.12 inference(resolution,[status(thm)],[f344,f511])).
% 37.66/5.12 fof(f701,plain,(
% 37.66/5.12 the_carrier(sk0_19)=empty_set|~spl0_34),
% 37.66/5.12 inference(resolution,[status(thm)],[f344,f535])).
% 37.66/5.12 fof(f703,plain,(
% 37.66/5.12 ![X0]: (element(empty_set,powerset(X0)))),
% 37.66/5.12 inference(backward_demodulation,[status(thm)],[f697,f270])).
% 37.66/5.12 fof(f724,plain,(
% 37.66/5.12 spl0_59 <=> lattice(sk0_19)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f726,plain,(
% 37.66/5.12 ~lattice(sk0_19)|spl0_59),
% 37.66/5.12 inference(component_clause,[status(thm)],[f724])).
% 37.66/5.12 fof(f727,plain,(
% 37.66/5.12 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|spl0_58),
% 37.66/5.12 inference(resolution,[status(thm)],[f686,f146])).
% 37.66/5.12 fof(f728,plain,(
% 37.66/5.12 spl0_2|~spl0_59|~spl0_3|spl0_58),
% 37.66/5.12 inference(split_clause,[status(thm)],[f727,f369,f724,f372,f684])).
% 37.66/5.12 fof(f729,plain,(
% 37.66/5.12 $false|spl0_59),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f726,f352])).
% 37.66/5.12 fof(f730,plain,(
% 37.66/5.12 spl0_59),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f729])).
% 37.66/5.12 fof(f735,plain,(
% 37.66/5.12 spl0_60 <=> empty(empty_set)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f737,plain,(
% 37.66/5.12 ~empty(empty_set)|spl0_60),
% 37.66/5.12 inference(component_clause,[status(thm)],[f735])).
% 37.66/5.12 fof(f738,plain,(
% 37.66/5.12 spl0_61 <=> in(sk0_20,empty_set)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f739,plain,(
% 37.66/5.12 in(sk0_20,empty_set)|~spl0_61),
% 37.66/5.12 inference(component_clause,[status(thm)],[f738])).
% 37.66/5.12 fof(f743,plain,(
% 37.66/5.12 spl0_62 <=> in(sk0_21,empty_set)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f744,plain,(
% 37.66/5.12 in(sk0_21,empty_set)|~spl0_62),
% 37.66/5.12 inference(component_clause,[status(thm)],[f743])).
% 37.66/5.12 fof(f756,plain,(
% 37.66/5.12 ![X0]: (empty(X0)|~in(X0,sk0_6(X0)))),
% 37.66/5.12 inference(resolution,[status(thm)],[f518,f100])).
% 37.66/5.12 fof(f766,plain,(
% 37.66/5.12 spl0_63 <=> in(sk0_6(the_carrier(sk0_18)),empty_set)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f767,plain,(
% 37.66/5.12 in(sk0_6(the_carrier(sk0_18)),empty_set)|~spl0_63),
% 37.66/5.12 inference(component_clause,[status(thm)],[f766])).
% 37.66/5.12 fof(f780,plain,(
% 37.66/5.12 spl0_64 <=> empty_carrier(poset_of_lattice(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f781,plain,(
% 37.66/5.12 empty_carrier(poset_of_lattice(sk0_19))|~spl0_64),
% 37.66/5.12 inference(component_clause,[status(thm)],[f780])).
% 37.66/5.12 fof(f783,plain,(
% 37.66/5.12 spl0_65 <=> one_sorted_str(poset_of_lattice(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f785,plain,(
% 37.66/5.12 ~one_sorted_str(poset_of_lattice(sk0_19))|spl0_65),
% 37.66/5.12 inference(component_clause,[status(thm)],[f783])).
% 37.66/5.12 fof(f786,plain,(
% 37.66/5.12 empty_carrier(poset_of_lattice(sk0_19))|~one_sorted_str(poset_of_lattice(sk0_19))|~empty(empty_set)|~spl0_29),
% 37.66/5.12 inference(paramodulation,[status(thm)],[f700,f195])).
% 37.66/5.12 fof(f787,plain,(
% 37.66/5.12 spl0_64|~spl0_65|~spl0_60|~spl0_29),
% 37.66/5.12 inference(split_clause,[status(thm)],[f786,f780,f783,f735,f510])).
% 37.66/5.12 fof(f788,plain,(
% 37.66/5.12 spl0_66 <=> empty_carrier(poset_of_lattice(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f789,plain,(
% 37.66/5.12 empty_carrier(poset_of_lattice(sk0_18))|~spl0_66),
% 37.66/5.12 inference(component_clause,[status(thm)],[f788])).
% 37.66/5.12 fof(f791,plain,(
% 37.66/5.12 spl0_67 <=> one_sorted_str(poset_of_lattice(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f793,plain,(
% 37.66/5.12 ~one_sorted_str(poset_of_lattice(sk0_18))|spl0_67),
% 37.66/5.12 inference(component_clause,[status(thm)],[f791])).
% 37.66/5.12 fof(f794,plain,(
% 37.66/5.12 empty_carrier(poset_of_lattice(sk0_18))|~one_sorted_str(poset_of_lattice(sk0_18))|~empty(empty_set)|~spl0_27),
% 37.66/5.12 inference(paramodulation,[status(thm)],[f699,f195])).
% 37.66/5.12 fof(f795,plain,(
% 37.66/5.12 spl0_66|~spl0_67|~spl0_60|~spl0_27),
% 37.66/5.12 inference(split_clause,[status(thm)],[f794,f788,f791,f735,f502])).
% 37.66/5.12 fof(f796,plain,(
% 37.66/5.12 spl0_68 <=> one_sorted_str(sk0_19)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f798,plain,(
% 37.66/5.12 ~one_sorted_str(sk0_19)|spl0_68),
% 37.66/5.12 inference(component_clause,[status(thm)],[f796])).
% 37.66/5.12 fof(f799,plain,(
% 37.66/5.12 empty_carrier(sk0_19)|~one_sorted_str(sk0_19)|~empty(empty_set)|~spl0_34),
% 37.66/5.12 inference(paramodulation,[status(thm)],[f701,f195])).
% 37.66/5.12 fof(f800,plain,(
% 37.66/5.12 spl0_2|~spl0_68|~spl0_60|~spl0_34),
% 37.66/5.12 inference(split_clause,[status(thm)],[f799,f369,f796,f735,f534])).
% 37.66/5.12 fof(f801,plain,(
% 37.66/5.12 $false|spl0_50),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f632,f293])).
% 37.66/5.12 fof(f802,plain,(
% 37.66/5.12 spl0_50),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f801])).
% 37.66/5.12 fof(f803,plain,(
% 37.66/5.12 ~latt_str(sk0_19)|spl0_68),
% 37.66/5.12 inference(resolution,[status(thm)],[f798,f693])).
% 37.66/5.12 fof(f804,plain,(
% 37.66/5.12 ~spl0_3|spl0_68),
% 37.66/5.12 inference(split_clause,[status(thm)],[f803,f372,f796])).
% 37.66/5.12 fof(f815,plain,(
% 37.66/5.12 ~rel_str(poset_of_lattice(sk0_18))|spl0_67),
% 37.66/5.12 inference(resolution,[status(thm)],[f793,f157])).
% 37.66/5.12 fof(f818,plain,(
% 37.66/5.12 ~rel_str(poset_of_lattice(sk0_19))|spl0_65),
% 37.66/5.12 inference(resolution,[status(thm)],[f785,f157])).
% 37.66/5.12 fof(f819,plain,(
% 37.66/5.12 ~spl0_58|spl0_65),
% 37.66/5.12 inference(split_clause,[status(thm)],[f818,f684,f783])).
% 37.66/5.12 fof(f821,plain,(
% 37.66/5.12 ~empty(empty_set)|~spl0_61),
% 37.66/5.12 inference(resolution,[status(thm)],[f739,f347])).
% 37.66/5.12 fof(f822,plain,(
% 37.66/5.12 $false|~spl0_61),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f821,f197])).
% 37.66/5.12 fof(f823,plain,(
% 37.66/5.12 ~spl0_61),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f822])).
% 37.66/5.12 fof(f824,plain,(
% 37.66/5.12 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~spl0_64),
% 37.66/5.12 inference(resolution,[status(thm)],[f781,f233])).
% 37.66/5.12 fof(f825,plain,(
% 37.66/5.12 spl0_2|~spl0_59|~spl0_3|~spl0_64),
% 37.66/5.12 inference(split_clause,[status(thm)],[f824,f369,f724,f372,f780])).
% 37.66/5.12 fof(f826,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),X0,X0)|~spl0_57)),
% 37.66/5.12 inference(duplicate_literals_removal,[status(esa)],[f682])).
% 37.66/5.12 fof(f827,plain,(
% 37.66/5.12 ![X0,X1,X2,X3]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(X0))|~element(X3,the_carrier(X1))|empty(the_carrier(k8_filter_1(X0,X1)))|in(k10_filter_1(X0,X1,X2,X3),the_carrier(k8_filter_1(X0,X1))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f132,f328])).
% 37.66/5.12 fof(f830,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation_of2(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 37.66/5.12 inference(resolution,[status(thm)],[f140,f307])).
% 37.66/5.12 fof(f831,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~rel_str(poset_of_lattice(X0))|poset_of_lattice(X0)=rel_str_of(the_carrier(poset_of_lattice(X0)),the_InternalRel(poset_of_lattice(X0))))),
% 37.66/5.12 inference(resolution,[status(thm)],[f142,f96])).
% 37.66/5.12 fof(f832,plain,(
% 37.66/5.12 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|poset_of_lattice(X0)=rel_str_of(the_carrier(poset_of_lattice(X0)),the_InternalRel(poset_of_lattice(X0))))),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f831,f146])).
% 37.66/5.12 fof(f833,plain,(
% 37.66/5.12 ~empty(empty_set)|~spl0_62),
% 37.66/5.12 inference(resolution,[status(thm)],[f744,f347])).
% 37.66/5.12 fof(f834,plain,(
% 37.66/5.12 $false|~spl0_62),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f833,f197])).
% 37.66/5.12 fof(f835,plain,(
% 37.66/5.12 ~spl0_62),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f834])).
% 37.66/5.12 fof(f857,plain,(
% 37.66/5.12 spl0_69 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f860,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~rel_str(poset_of_lattice(sk0_19))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sk0_19)))|~spl0_57)),
% 37.66/5.12 inference(resolution,[status(thm)],[f826,f123])).
% 37.66/5.12 fof(f861,plain,(
% 37.66/5.12 spl0_69|~spl0_58|~spl0_57),
% 37.66/5.12 inference(split_clause,[status(thm)],[f860,f857,f684,f681])).
% 37.66/5.12 fof(f862,plain,(
% 37.66/5.12 spl0_70 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|related_reflexive(poset_of_lattice(sk0_19),X0,X0)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f865,plain,(
% 37.66/5.12 spl0_71 <=> reflexive_relstr(poset_of_lattice(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f866,plain,(
% 37.66/5.12 reflexive_relstr(poset_of_lattice(sk0_19))|~spl0_71),
% 37.66/5.12 inference(component_clause,[status(thm)],[f865])).
% 37.66/5.12 fof(f867,plain,(
% 37.66/5.12 ~reflexive_relstr(poset_of_lattice(sk0_19))|spl0_71),
% 37.66/5.12 inference(component_clause,[status(thm)],[f865])).
% 37.66/5.12 fof(f868,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|empty_carrier(poset_of_lattice(sk0_19))|~reflexive_relstr(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|related_reflexive(poset_of_lattice(sk0_19),X0,X0)|~spl0_57)),
% 37.66/5.12 inference(resolution,[status(thm)],[f826,f316])).
% 37.66/5.12 fof(f869,plain,(
% 37.66/5.12 spl0_70|spl0_64|~spl0_71|~spl0_58|~spl0_57),
% 37.66/5.12 inference(split_clause,[status(thm)],[f868,f862,f780,f865,f684,f681])).
% 37.66/5.12 fof(f871,plain,(
% 37.66/5.12 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|spl0_71),
% 37.66/5.12 inference(resolution,[status(thm)],[f867,f143])).
% 37.66/5.12 fof(f872,plain,(
% 37.66/5.12 spl0_2|~spl0_59|~spl0_3|spl0_71),
% 37.66/5.12 inference(split_clause,[status(thm)],[f871,f369,f724,f372,f865])).
% 37.66/5.12 fof(f873,plain,(
% 37.66/5.12 spl0_72 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X1,the_carrier(poset_of_lattice(sk0_19)))|~related_reflexive(poset_of_lattice(sk0_19),X0,X1)|related(poset_of_lattice(sk0_19),X0,X1)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f874,plain,(
% 37.66/5.12 ![X0,X1]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X1,the_carrier(poset_of_lattice(sk0_19)))|~related_reflexive(poset_of_lattice(sk0_19),X0,X1)|related(poset_of_lattice(sk0_19),X0,X1)|~spl0_72)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f873])).
% 37.66/5.12 fof(f876,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X1,the_carrier(poset_of_lattice(sk0_19)))|~related_reflexive(poset_of_lattice(sk0_19),X0,X1)|related(poset_of_lattice(sk0_19),X0,X1)|~spl0_71)),
% 37.66/5.12 inference(resolution,[status(thm)],[f866,f315])).
% 37.66/5.12 fof(f877,plain,(
% 37.66/5.12 spl0_64|~spl0_58|spl0_72|~spl0_71),
% 37.66/5.12 inference(split_clause,[status(thm)],[f876,f780,f684,f873,f865])).
% 37.66/5.12 fof(f878,plain,(
% 37.66/5.12 spl0_73 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_19)))|related_reflexive(poset_of_lattice(sk0_19),X0,X0)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f881,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X1,the_carrier(poset_of_lattice(sk0_19)))|related_reflexive(poset_of_lattice(sk0_19),X0,X0)|~spl0_71)),
% 37.66/5.12 inference(resolution,[status(thm)],[f866,f324])).
% 37.66/5.12 fof(f882,plain,(
% 37.66/5.12 spl0_64|~spl0_58|spl0_73|spl0_56|~spl0_71),
% 37.66/5.12 inference(split_clause,[status(thm)],[f881,f780,f684,f878,f676,f865])).
% 37.66/5.12 fof(f888,plain,(
% 37.66/5.12 spl0_74 <=> empty(the_InternalRel(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f895,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~empty(the_InternalRel(poset_of_lattice(sk0_19)))|~spl0_55)),
% 37.66/5.12 inference(resolution,[status(thm)],[f674,f347])).
% 37.66/5.12 fof(f896,plain,(
% 37.66/5.12 spl0_56|~spl0_74|~spl0_55),
% 37.66/5.12 inference(split_clause,[status(thm)],[f895,f676,f888,f673])).
% 37.66/5.12 fof(f902,plain,(
% 37.66/5.12 empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|spl0_67),
% 37.66/5.12 inference(resolution,[status(thm)],[f815,f146])).
% 37.66/5.12 fof(f903,plain,(
% 37.66/5.12 spl0_14|~spl0_49|~spl0_17|spl0_67),
% 37.66/5.12 inference(split_clause,[status(thm)],[f902,f429,f625,f438,f791])).
% 37.66/5.12 fof(f904,plain,(
% 37.66/5.12 empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|~spl0_66),
% 37.66/5.12 inference(resolution,[status(thm)],[f789,f233])).
% 37.66/5.12 fof(f905,plain,(
% 37.66/5.12 spl0_14|~spl0_49|~spl0_17|~spl0_66),
% 37.66/5.12 inference(split_clause,[status(thm)],[f904,f429,f625,f438,f788])).
% 37.66/5.12 fof(f908,plain,(
% 37.66/5.12 $false|spl0_60),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f737,f197])).
% 37.66/5.12 fof(f909,plain,(
% 37.66/5.12 spl0_60),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f908])).
% 37.66/5.12 fof(f937,plain,(
% 37.66/5.12 spl0_75 <=> poset_of_lattice(sk0_18)=rel_str_of(the_carrier(poset_of_lattice(sk0_18)),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f938,plain,(
% 37.66/5.12 poset_of_lattice(sk0_18)=rel_str_of(the_carrier(poset_of_lattice(sk0_18)),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_75),
% 37.66/5.12 inference(component_clause,[status(thm)],[f937])).
% 37.66/5.12 fof(f940,plain,(
% 37.66/5.12 empty_carrier(sk0_18)|~latt_str(sk0_18)|poset_of_lattice(sk0_18)=rel_str_of(the_carrier(poset_of_lattice(sk0_18)),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.12 inference(resolution,[status(thm)],[f832,f298])).
% 37.66/5.12 fof(f941,plain,(
% 37.66/5.12 spl0_14|~spl0_17|spl0_75),
% 37.66/5.12 inference(split_clause,[status(thm)],[f940,f429,f438,f937])).
% 37.66/5.12 fof(f942,plain,(
% 37.66/5.12 spl0_76 <=> poset_of_lattice(sk0_19)=rel_str_of(the_carrier(poset_of_lattice(sk0_19)),the_InternalRel(poset_of_lattice(sk0_19)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f943,plain,(
% 37.66/5.12 poset_of_lattice(sk0_19)=rel_str_of(the_carrier(poset_of_lattice(sk0_19)),the_InternalRel(poset_of_lattice(sk0_19)))|~spl0_76),
% 37.66/5.12 inference(component_clause,[status(thm)],[f942])).
% 37.66/5.12 fof(f945,plain,(
% 37.66/5.12 empty_carrier(sk0_19)|~latt_str(sk0_19)|poset_of_lattice(sk0_19)=rel_str_of(the_carrier(poset_of_lattice(sk0_19)),the_InternalRel(poset_of_lattice(sk0_19)))),
% 37.66/5.12 inference(resolution,[status(thm)],[f832,f352])).
% 37.66/5.12 fof(f946,plain,(
% 37.66/5.12 spl0_2|~spl0_3|spl0_76),
% 37.66/5.12 inference(split_clause,[status(thm)],[f945,f369,f372,f942])).
% 37.66/5.12 fof(f947,plain,(
% 37.66/5.12 in(ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f666,f496])).
% 37.66/5.12 fof(f948,plain,(
% 37.66/5.12 in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53),
% 37.66/5.12 inference(resolution,[status(thm)],[f666,f188])).
% 37.66/5.12 fof(f949,plain,(
% 37.66/5.12 spl0_77 <=> rel_str(poset_of_lattice(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f951,plain,(
% 37.66/5.12 ~rel_str(poset_of_lattice(sk0_18))|spl0_77),
% 37.66/5.12 inference(component_clause,[status(thm)],[f949])).
% 37.66/5.12 fof(f952,plain,(
% 37.66/5.12 spl0_78 <=> related(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f953,plain,(
% 37.66/5.12 related(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_78),
% 37.66/5.12 inference(component_clause,[status(thm)],[f952])).
% 37.66/5.12 fof(f955,plain,(
% 37.66/5.12 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_53|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f947,f124])).
% 37.66/5.12 fof(f956,plain,(
% 37.66/5.12 ~spl0_77|~spl0_26|spl0_78|~spl0_53),
% 37.66/5.12 inference(split_clause,[status(thm)],[f955,f949,f495,f952,f665])).
% 37.66/5.12 fof(f957,plain,(
% 37.66/5.12 ~empty(the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f947,f347])).
% 37.66/5.12 fof(f958,plain,(
% 37.66/5.12 element(ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f947,f326])).
% 37.66/5.12 fof(f960,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_18))|~spl0_54|~spl0_21)),
% 37.66/5.12 inference(backward_subsumption_resolution,[status(thm)],[f465,f669])).
% 37.66/5.12 fof(f961,plain,(
% 37.66/5.12 spl0_19|~spl0_54|~spl0_21),
% 37.66/5.12 inference(split_clause,[status(thm)],[f960,f444,f668,f464])).
% 37.66/5.12 fof(f964,plain,(
% 37.66/5.12 empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|spl0_77),
% 37.66/5.12 inference(resolution,[status(thm)],[f951,f146])).
% 37.66/5.12 fof(f965,plain,(
% 37.66/5.12 spl0_14|~spl0_49|~spl0_17|spl0_77),
% 37.66/5.12 inference(split_clause,[status(thm)],[f964,f429,f625,f438,f949])).
% 37.66/5.12 fof(f968,plain,(
% 37.66/5.12 spl0_79 <=> in(ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f973,plain,(
% 37.66/5.12 spl0_80 <=> reflexive_relstr(poset_of_lattice(sk0_18))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f974,plain,(
% 37.66/5.12 reflexive_relstr(poset_of_lattice(sk0_18))|~spl0_80),
% 37.66/5.12 inference(component_clause,[status(thm)],[f973])).
% 37.66/5.12 fof(f975,plain,(
% 37.66/5.12 ~reflexive_relstr(poset_of_lattice(sk0_18))|spl0_80),
% 37.66/5.12 inference(component_clause,[status(thm)],[f973])).
% 37.66/5.12 fof(f976,plain,(
% 37.66/5.12 spl0_81 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f979,plain,(
% 37.66/5.12 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(the_carrier(sk0_18)),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_78),
% 37.66/5.12 inference(resolution,[status(thm)],[f953,f316])).
% 37.66/5.12 fof(f980,plain,(
% 37.66/5.12 spl0_66|~spl0_80|~spl0_77|~spl0_26|spl0_81|~spl0_78),
% 37.66/5.12 inference(split_clause,[status(thm)],[f979,f788,f973,f949,f495,f976,f952])).
% 37.66/5.12 fof(f981,plain,(
% 37.66/5.12 empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|spl0_80),
% 37.66/5.12 inference(resolution,[status(thm)],[f975,f143])).
% 37.66/5.12 fof(f982,plain,(
% 37.66/5.12 spl0_14|~spl0_49|~spl0_17|spl0_80),
% 37.66/5.12 inference(split_clause,[status(thm)],[f981,f429,f625,f438,f973])).
% 37.66/5.12 fof(f983,plain,(
% 37.66/5.12 spl0_82 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X1,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,X1)|related(poset_of_lattice(sk0_18),X0,X1)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f984,plain,(
% 37.66/5.12 ![X0,X1]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X1,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,X1)|related(poset_of_lattice(sk0_18),X0,X1)|~spl0_82)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f983])).
% 37.66/5.12 fof(f986,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X1,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,X1)|related(poset_of_lattice(sk0_18),X0,X1)|~spl0_80)),
% 37.66/5.12 inference(resolution,[status(thm)],[f974,f315])).
% 37.66/5.12 fof(f987,plain,(
% 37.66/5.12 spl0_66|~spl0_77|spl0_82|~spl0_80),
% 37.66/5.12 inference(split_clause,[status(thm)],[f986,f788,f949,f983,f973])).
% 37.66/5.12 fof(f988,plain,(
% 37.66/5.12 spl0_83 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),X0,X0)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f989,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),X0,X0)|~spl0_83)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f988])).
% 37.66/5.12 fof(f991,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X1,the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),X0,X0)|~spl0_80)),
% 37.66/5.12 inference(resolution,[status(thm)],[f974,f324])).
% 37.66/5.12 fof(f992,plain,(
% 37.66/5.12 spl0_66|~spl0_77|spl0_83|spl0_54|~spl0_80),
% 37.66/5.12 inference(split_clause,[status(thm)],[f991,f788,f949,f988,f668,f973])).
% 37.66/5.12 fof(f993,plain,(
% 37.66/5.12 spl0_84 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),X0,X0)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f994,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),X0,X0)|~spl0_84)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f993])).
% 37.66/5.12 fof(f996,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),X0,X0)|empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|~spl0_83)),
% 37.66/5.12 inference(resolution,[status(thm)],[f989,f570])).
% 37.66/5.12 fof(f997,plain,(
% 37.66/5.12 spl0_84|spl0_14|~spl0_49|~spl0_17|~spl0_83),
% 37.66/5.12 inference(split_clause,[status(thm)],[f996,f993,f429,f625,f438,f988])).
% 37.66/5.12 fof(f998,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),X0,X0)|~spl0_84)),
% 37.66/5.12 inference(duplicate_literals_removal,[status(esa)],[f994])).
% 37.66/5.12 fof(f999,plain,(
% 37.66/5.12 related(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_84),
% 37.66/5.12 inference(resolution,[status(thm)],[f998,f188])).
% 37.66/5.12 fof(f1010,plain,(
% 37.66/5.12 spl0_85 <=> empty(the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1011,plain,(
% 37.66/5.12 empty(the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_85),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1010])).
% 37.66/5.12 fof(f1013,plain,(
% 37.66/5.12 empty(the_InternalRel(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f958,f328])).
% 37.66/5.12 fof(f1014,plain,(
% 37.66/5.12 spl0_85|spl0_79|~spl0_53|~spl0_26),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1013,f1010,f968,f665,f495])).
% 37.66/5.12 fof(f1015,plain,(
% 37.66/5.12 spl0_86 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1017,plain,(
% 37.66/5.12 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|spl0_86),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1015])).
% 37.66/5.12 fof(f1018,plain,(
% 37.66/5.12 spl0_87 <=> in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1023,plain,(
% 37.66/5.12 spl0_88 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1026,plain,(
% 37.66/5.12 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_84),
% 37.66/5.12 inference(resolution,[status(thm)],[f999,f316])).
% 37.66/5.12 fof(f1027,plain,(
% 37.66/5.12 spl0_66|~spl0_80|~spl0_77|~spl0_86|spl0_88|~spl0_84),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1026,f788,f973,f949,f1015,f1023,f993])).
% 37.66/5.12 fof(f1028,plain,(
% 37.66/5.12 $false|spl0_86),
% 37.66/5.12 inference(forward_subsumption_resolution,[status(thm)],[f1017,f188])).
% 37.66/5.12 fof(f1029,plain,(
% 37.66/5.12 spl0_86),
% 37.66/5.12 inference(contradiction_clause,[status(thm)],[f1028])).
% 37.66/5.12 fof(f1030,plain,(
% 37.66/5.12 spl0_89 <=> related(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1035,plain,(
% 37.66/5.12 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_53),
% 37.66/5.12 inference(resolution,[status(thm)],[f948,f124])).
% 37.66/5.12 fof(f1036,plain,(
% 37.66/5.12 ~spl0_77|~spl0_86|spl0_89|~spl0_53),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1035,f949,f1015,f1030,f665])).
% 37.66/5.12 fof(f1037,plain,(
% 37.66/5.12 element(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53),
% 37.66/5.12 inference(resolution,[status(thm)],[f948,f326])).
% 37.66/5.12 fof(f1039,plain,(
% 37.66/5.12 empty(the_InternalRel(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53),
% 37.66/5.12 inference(resolution,[status(thm)],[f1037,f328])).
% 37.66/5.12 fof(f1040,plain,(
% 37.66/5.12 spl0_85|spl0_87|~spl0_53),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1039,f1010,f1018,f665])).
% 37.66/5.12 fof(f1041,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(the_carrier(sk0_18)))|related(poset_of_lattice(sk0_18),X0,sk0_6(the_carrier(sk0_18)))|~spl0_82|~spl0_26)),
% 37.66/5.12 inference(resolution,[status(thm)],[f984,f496])).
% 37.66/5.12 fof(f1042,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),X0,sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_82)),
% 37.66/5.12 inference(resolution,[status(thm)],[f984,f188])).
% 37.66/5.12 fof(f1045,plain,(
% 37.66/5.12 spl0_90 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1048,plain,(
% 37.66/5.12 spl0_91 <=> related(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(sk0_18)))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1051,plain,(
% 37.66/5.12 ~related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(sk0_18)))|~spl0_82|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f1041,f188])).
% 37.66/5.12 fof(f1052,plain,(
% 37.66/5.12 ~spl0_90|spl0_91|~spl0_82|~spl0_26),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1051,f1045,f1048,f983,f495])).
% 37.66/5.12 fof(f1053,plain,(
% 37.66/5.12 spl0_92 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1056,plain,(
% 37.66/5.12 spl0_93 <=> related(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1059,plain,(
% 37.66/5.12 ~related_reflexive(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_82|~spl0_26),
% 37.66/5.12 inference(resolution,[status(thm)],[f1042,f496])).
% 37.66/5.12 fof(f1060,plain,(
% 37.66/5.12 ~spl0_92|spl0_93|~spl0_82|~spl0_26),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1059,f1053,f1056,f983,f495])).
% 37.66/5.12 fof(f1072,plain,(
% 37.66/5.12 spl0_94 <=> ~element(X0,the_carrier(sk0_18))|~element(X1,the_carrier(sk0_18))|in(ordered_pair_as_product_element(the_carrier(sk0_18),the_carrier(sk0_18),X0,X1),relation_of_lattice(sk0_18))|~below_refl(sk0_18,X0,X1)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1075,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(sk0_18)|~latt_str(sk0_18)|~element(X0,the_carrier(sk0_18))|~element(X1,the_carrier(sk0_18))|in(ordered_pair_as_product_element(the_carrier(sk0_18),the_carrier(sk0_18),X0,X1),relation_of_lattice(sk0_18))|~below_refl(sk0_18,X0,X1))),
% 37.66/5.12 inference(resolution,[status(thm)],[f332,f298])).
% 37.66/5.12 fof(f1076,plain,(
% 37.66/5.12 spl0_14|~spl0_17|spl0_94),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1075,f429,f438,f1072])).
% 37.66/5.12 fof(f1077,plain,(
% 37.66/5.12 spl0_95 <=> ~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),relation_of_lattice(sk0_19))|~below_refl(sk0_19,X0,X1)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1078,plain,(
% 37.66/5.12 ![X0,X1]: (~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),relation_of_lattice(sk0_19))|~below_refl(sk0_19,X0,X1)|~spl0_95)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1077])).
% 37.66/5.12 fof(f1080,plain,(
% 37.66/5.12 ![X0,X1]: (empty_carrier(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),relation_of_lattice(sk0_19))|~below_refl(sk0_19,X0,X1))),
% 37.66/5.12 inference(resolution,[status(thm)],[f332,f352])).
% 37.66/5.12 fof(f1081,plain,(
% 37.66/5.12 spl0_2|~spl0_3|spl0_95),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1080,f369,f372,f1077])).
% 37.66/5.12 fof(f1082,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_21),relation_of_lattice(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|~spl0_95)),
% 37.66/5.12 inference(resolution,[status(thm)],[f1078,f355])).
% 37.66/5.12 fof(f1083,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_20),relation_of_lattice(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|~spl0_95)),
% 37.66/5.12 inference(resolution,[status(thm)],[f1078,f354])).
% 37.66/5.12 fof(f1084,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_6(the_carrier(sk0_19))),relation_of_lattice(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|~spl0_95)),
% 37.66/5.12 inference(resolution,[status(thm)],[f1078,f188])).
% 37.66/5.12 fof(f1085,plain,(
% 37.66/5.12 spl0_96 <=> in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21),relation_of_lattice(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1086,plain,(
% 37.66/5.12 in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21),relation_of_lattice(sk0_19))|~spl0_96),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1085])).
% 37.66/5.12 fof(f1087,plain,(
% 37.66/5.12 ~in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21),relation_of_lattice(sk0_19))|spl0_96),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1085])).
% 37.66/5.12 fof(f1088,plain,(
% 37.66/5.12 ~element(sk0_20,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21),relation_of_lattice(sk0_19))|~spl0_95|~spl0_0),
% 37.66/5.12 inference(resolution,[status(thm)],[f1082,f362])).
% 37.66/5.12 fof(f1089,plain,(
% 37.66/5.12 ~spl0_6|spl0_96|~spl0_95|~spl0_0),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1088,f393,f1085,f1077,f361])).
% 37.66/5.12 fof(f1090,plain,(
% 37.66/5.12 spl0_97 <=> in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),relation_of_lattice(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1091,plain,(
% 37.66/5.12 in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),relation_of_lattice(sk0_19))|~spl0_97),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1090])).
% 37.66/5.12 fof(f1093,plain,(
% 37.66/5.12 spl0_98 <=> meet_absorbing(sk0_19)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1095,plain,(
% 37.66/5.12 ~meet_absorbing(sk0_19)|spl0_98),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1093])).
% 37.66/5.12 fof(f1096,plain,(
% 37.66/5.12 spl0_99 <=> ~element(X0,the_carrier(sk0_19))),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1097,plain,(
% 37.66/5.12 ![X0]: (~element(X0,the_carrier(sk0_19))|~spl0_99)),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1096])).
% 37.66/5.12 fof(f1101,plain,(
% 37.66/5.12 spl0_100 <=> join_absorbing(sk0_19)),
% 37.66/5.12 introduced(split_symbol_definition)).
% 37.66/5.12 fof(f1102,plain,(
% 37.66/5.12 join_absorbing(sk0_19)|~spl0_100),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1101])).
% 37.66/5.12 fof(f1103,plain,(
% 37.66/5.12 ~join_absorbing(sk0_19)|spl0_100),
% 37.66/5.12 inference(component_clause,[status(thm)],[f1101])).
% 37.66/5.12 fof(f1104,plain,(
% 37.66/5.12 ![X0]: (~element(sk0_21,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),relation_of_lattice(sk0_19))|~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|~join_absorbing(sk0_19)|~element(sk0_21,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|~spl0_95)),
% 37.66/5.12 inference(resolution,[status(thm)],[f1082,f556])).
% 37.66/5.12 fof(f1105,plain,(
% 37.66/5.12 ~spl0_8|spl0_97|~spl0_3|spl0_2|~spl0_59|~spl0_100|spl0_99|~spl0_95),
% 37.66/5.12 inference(split_clause,[status(thm)],[f1104,f401,f1090,f372,f369,f724,f1101,f1096,f1077])).
% 37.66/5.12 fof(f1106,plain,(
% 37.66/5.12 related_reflexive(poset_of_lattice(sk0_19),sk0_20,cast_to_el_of_LattPOSet(sk0_19,sk0_21))|~spl0_4|~spl0_1),
% 37.66/5.12 inference(forward_demodulation,[status(thm)],[f385,f365])).
% 37.66/5.12 fof(f1107,plain,(
% 37.66/5.12 related_reflexive(poset_of_lattice(sk0_19),sk0_20,sk0_21)|~spl0_4|~spl0_1),
% 37.66/5.13 inference(forward_demodulation,[status(thm)],[f384,f1106])).
% 37.66/5.13 fof(f1108,plain,(
% 37.66/5.13 spl0_101 <=> related(poset_of_lattice(sk0_19),sk0_20,sk0_21)),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1109,plain,(
% 37.66/5.13 related(poset_of_lattice(sk0_19),sk0_20,sk0_21)|~spl0_101),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1108])).
% 37.66/5.13 fof(f1111,plain,(
% 37.66/5.13 ~element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),sk0_20,sk0_21)|~spl0_4|~spl0_1|~spl0_72),
% 37.66/5.13 inference(resolution,[status(thm)],[f1107,f874])).
% 37.66/5.13 fof(f1112,plain,(
% 37.66/5.13 ~spl0_7|~spl0_9|spl0_101|~spl0_4|~spl0_1|~spl0_72),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1111,f396,f404,f1108,f375,f364,f873])).
% 37.66/5.13 fof(f1113,plain,(
% 37.66/5.13 ~element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),sk0_20,sk0_21)|empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~spl0_4|~spl0_1),
% 37.66/5.13 inference(resolution,[status(thm)],[f1107,f570])).
% 37.66/5.13 fof(f1114,plain,(
% 37.66/5.13 ~spl0_7|~spl0_9|spl0_101|spl0_2|~spl0_59|~spl0_3|~spl0_4|~spl0_1),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1113,f396,f404,f1108,f369,f724,f372,f375,f364])).
% 37.66/5.13 fof(f1115,plain,(
% 37.66/5.13 spl0_102 <=> in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),relation_of_lattice(sk0_19))),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1116,plain,(
% 37.66/5.13 in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),relation_of_lattice(sk0_19))|~spl0_102),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1115])).
% 37.66/5.13 fof(f1120,plain,(
% 37.66/5.13 ![X0]: (~element(sk0_20,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),relation_of_lattice(sk0_19))|~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|~join_absorbing(sk0_19)|~element(sk0_20,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|~spl0_95)),
% 37.66/5.13 inference(resolution,[status(thm)],[f1083,f556])).
% 37.66/5.13 fof(f1121,plain,(
% 37.66/5.13 ~spl0_6|spl0_102|~spl0_3|spl0_2|~spl0_59|~spl0_100|spl0_99|~spl0_95),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1120,f393,f1115,f372,f369,f724,f1101,f1096,f1077])).
% 37.66/5.13 fof(f1122,plain,(
% 37.66/5.13 spl0_103 <=> in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),relation_of_lattice(sk0_19))),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1123,plain,(
% 37.66/5.13 in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),relation_of_lattice(sk0_19))|~spl0_103),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1122])).
% 37.66/5.13 fof(f1127,plain,(
% 37.66/5.13 ![X0]: (~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),relation_of_lattice(sk0_19))|~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|~join_absorbing(sk0_19)|~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|~spl0_95)),
% 37.66/5.13 inference(resolution,[status(thm)],[f1084,f556])).
% 37.66/5.13 fof(f1128,plain,(
% 37.66/5.13 ~spl0_23|spl0_103|~spl0_3|spl0_2|~spl0_59|~spl0_100|spl0_99|~spl0_95),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1127,f481,f1122,f372,f369,f724,f1101,f1096,f1077])).
% 37.66/5.13 fof(f1129,plain,(
% 37.66/5.13 ~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|spl0_100),
% 37.66/5.13 inference(resolution,[status(thm)],[f1103,f108])).
% 37.66/5.13 fof(f1130,plain,(
% 37.66/5.13 ~spl0_3|spl0_2|~spl0_59|spl0_100),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1129,f372,f369,f724,f1101])).
% 37.66/5.13 fof(f1131,plain,(
% 37.66/5.13 $false|~spl0_99),
% 37.66/5.13 inference(backward_subsumption_resolution,[status(thm)],[f355,f1097])).
% 37.66/5.13 fof(f1132,plain,(
% 37.66/5.13 ~spl0_99),
% 37.66/5.13 inference(contradiction_clause,[status(thm)],[f1131])).
% 37.66/5.13 fof(f1137,plain,(
% 37.66/5.13 spl0_104 <=> ~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),relation_of_lattice(sk0_19))|~element(X0,the_carrier(sk0_19))),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1138,plain,(
% 37.66/5.13 ![X0]: (~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),relation_of_lattice(sk0_19))|~element(X0,the_carrier(sk0_19))|~spl0_104)),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1137])).
% 37.66/5.13 fof(f1142,plain,(
% 37.66/5.13 ![X0,X1]: (~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),relation_of_lattice(sk0_19))|~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|~join_absorbing(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~spl0_95)),
% 37.66/5.13 inference(resolution,[status(thm)],[f1078,f556])).
% 37.66/5.13 fof(f1143,plain,(
% 37.66/5.13 spl0_104|~spl0_3|spl0_2|~spl0_59|~spl0_100|spl0_99|~spl0_95),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1142,f1137,f372,f369,f724,f1101,f1096,f1077])).
% 37.66/5.13 fof(f1144,plain,(
% 37.66/5.13 ![X0]: (~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),relation_of_lattice(sk0_19))|~spl0_104)),
% 37.66/5.13 inference(duplicate_literals_removal,[status(esa)],[f1138])).
% 37.66/5.13 fof(f1145,plain,(
% 37.66/5.13 spl0_105 <=> join_commutative(sk0_19)),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1147,plain,(
% 37.66/5.13 ~join_commutative(sk0_19)|spl0_105),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1145])).
% 37.66/5.13 fof(f1148,plain,(
% 37.66/5.13 spl0_106 <=> join_associative(sk0_19)),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1150,plain,(
% 37.66/5.13 ~join_associative(sk0_19)|spl0_106),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1148])).
% 37.66/5.13 fof(f1151,plain,(
% 37.66/5.13 spl0_107 <=> meet_commutative(sk0_19)),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1153,plain,(
% 37.66/5.13 ~meet_commutative(sk0_19)|spl0_107),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1151])).
% 37.66/5.13 fof(f1154,plain,(
% 37.66/5.13 spl0_108 <=> meet_associative(sk0_19)),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1156,plain,(
% 37.66/5.13 ~meet_associative(sk0_19)|spl0_108),
% 37.66/5.13 inference(component_clause,[status(thm)],[f1154])).
% 37.66/5.13 fof(f1159,plain,(
% 37.66/5.13 spl0_109 <=> ~element(X0,the_carrier(sk0_19))|below_refl(sk0_19,X0,X0)),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1162,plain,(
% 37.66/5.13 ![X0,X1]: (empty_carrier(sk0_19)|~meet_commutative(sk0_19)|~meet_absorbing(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|below_refl(sk0_19,X0,X0)|~spl0_100)),
% 37.66/5.13 inference(resolution,[status(thm)],[f1102,f321])).
% 37.66/5.13 fof(f1163,plain,(
% 37.66/5.13 spl0_2|~spl0_107|~spl0_98|~spl0_3|spl0_109|spl0_99|~spl0_100),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1162,f369,f1151,f1093,f372,f1159,f1096,f1101])).
% 37.66/5.13 fof(f1164,plain,(
% 37.66/5.13 ~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|spl0_108),
% 37.66/5.13 inference(resolution,[status(thm)],[f1156,f106])).
% 37.66/5.13 fof(f1165,plain,(
% 37.66/5.13 ~spl0_3|spl0_2|~spl0_59|spl0_108),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1164,f372,f369,f724,f1154])).
% 37.66/5.13 fof(f1166,plain,(
% 37.66/5.13 ~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|spl0_106),
% 37.66/5.13 inference(resolution,[status(thm)],[f1150,f104])).
% 37.66/5.13 fof(f1167,plain,(
% 37.66/5.13 ~spl0_3|spl0_2|~spl0_59|spl0_106),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1166,f372,f369,f724,f1148])).
% 37.66/5.13 fof(f1168,plain,(
% 37.66/5.13 ~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|spl0_105),
% 37.66/5.13 inference(resolution,[status(thm)],[f1147,f103])).
% 37.66/5.13 fof(f1169,plain,(
% 37.66/5.13 ~spl0_3|spl0_2|~spl0_59|spl0_105),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1168,f372,f369,f724,f1145])).
% 37.66/5.13 fof(f1173,plain,(
% 37.66/5.13 ~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|spl0_107),
% 37.66/5.13 inference(resolution,[status(thm)],[f1153,f105])).
% 37.66/5.13 fof(f1174,plain,(
% 37.66/5.13 ~spl0_3|spl0_2|~spl0_59|spl0_107),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1173,f372,f369,f724,f1151])).
% 37.66/5.13 fof(f1181,plain,(
% 37.66/5.13 ~latt_str(sk0_19)|empty_carrier(sk0_19)|~lattice(sk0_19)|spl0_98),
% 37.66/5.13 inference(resolution,[status(thm)],[f1095,f107])).
% 37.66/5.13 fof(f1182,plain,(
% 37.66/5.13 ~spl0_3|spl0_2|~spl0_59|spl0_98),
% 37.66/5.13 inference(split_clause,[status(thm)],[f1181,f372,f369,f724,f1093])).
% 37.66/5.13 fof(f1187,plain,(
% 37.66/5.13 spl0_110 <=> in(ordered_pair(sk0_20,sk0_21),the_InternalRel(poset_of_lattice(sk0_19)))),
% 37.66/5.13 introduced(split_symbol_definition)).
% 37.66/5.13 fof(f1188,plain,(
% 37.66/5.13 in(ordered_pair(sk0_20,sk0_21),the_InternalRel(poset_of_lattice(sk0_19)))|~spl0_110),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1187])).
% 37.66/5.14 fof(f1189,plain,(
% 37.66/5.14 ~in(ordered_pair(sk0_20,sk0_21),the_InternalRel(poset_of_lattice(sk0_19)))|spl0_110),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1187])).
% 37.66/5.14 fof(f1190,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_19))|~element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|in(ordered_pair(sk0_20,sk0_21),the_InternalRel(poset_of_lattice(sk0_19)))|~spl0_101),
% 37.66/5.14 inference(resolution,[status(thm)],[f1109,f123])).
% 37.66/5.14 fof(f1191,plain,(
% 37.66/5.14 ~spl0_58|~spl0_7|~spl0_9|spl0_110|~spl0_101),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1190,f684,f396,f404,f1187,f1108])).
% 37.66/5.14 fof(f1192,plain,(
% 37.66/5.14 spl0_111 <=> related_reflexive(poset_of_lattice(sk0_19),sk0_20,sk0_21)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1193,plain,(
% 37.66/5.14 related_reflexive(poset_of_lattice(sk0_19),sk0_20,sk0_21)|~spl0_111),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1192])).
% 37.66/5.14 fof(f1195,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_19))|~reflexive_relstr(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|~element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|related_reflexive(poset_of_lattice(sk0_19),sk0_20,sk0_21)|~spl0_101),
% 37.66/5.14 inference(resolution,[status(thm)],[f1109,f316])).
% 37.66/5.14 fof(f1196,plain,(
% 37.66/5.14 spl0_64|~spl0_71|~spl0_58|~spl0_7|~spl0_9|spl0_111|~spl0_101),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1195,f780,f865,f684,f396,f404,f1192,f1108])).
% 37.66/5.14 fof(f1197,plain,(
% 37.66/5.14 ![X0,X1]: (~in(X0,X1)|~element(X1,powerset(empty_set)))),
% 37.66/5.14 inference(resolution,[status(thm)],[f342,f197])).
% 37.66/5.14 fof(f1203,plain,(
% 37.66/5.14 ![X0]: (~in(X0,empty_set))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1197,f703])).
% 37.66/5.14 fof(f1204,plain,(
% 37.66/5.14 ![X0]: (~in(X0,sk0_6(powerset(empty_set))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1197,f188])).
% 37.66/5.14 fof(f1207,plain,(
% 37.66/5.14 empty(sk0_6(powerset(empty_set)))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1204,f518])).
% 37.66/5.14 fof(f1210,plain,(
% 37.66/5.14 sk0_6(powerset(empty_set))=empty_set),
% 37.66/5.14 inference(resolution,[status(thm)],[f1207,f344])).
% 37.66/5.14 fof(f1216,plain,(
% 37.66/5.14 spl0_113 <=> empty(powerset(empty_set))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1217,plain,(
% 37.66/5.14 empty(powerset(empty_set))|~spl0_113),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1216])).
% 37.66/5.14 fof(f1219,plain,(
% 37.66/5.14 spl0_114 <=> in(powerset(empty_set),empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1222,plain,(
% 37.66/5.14 empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1210,f756])).
% 37.66/5.14 fof(f1223,plain,(
% 37.66/5.14 spl0_113|~spl0_114),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1222,f1216,f1219])).
% 37.66/5.14 fof(f1224,plain,(
% 37.66/5.14 spl0_115 <=> in(empty_set,powerset(empty_set))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1227,plain,(
% 37.66/5.14 empty(powerset(empty_set))|in(empty_set,powerset(empty_set))),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1210,f518])).
% 37.66/5.14 fof(f1228,plain,(
% 37.66/5.14 spl0_113|spl0_115),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1227,f1216,f1224])).
% 37.66/5.14 fof(f1230,plain,(
% 37.66/5.14 $false|~spl0_113),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1217,f196])).
% 37.66/5.14 fof(f1231,plain,(
% 37.66/5.14 ~spl0_113),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f1230])).
% 37.66/5.14 fof(f1281,plain,(
% 37.66/5.14 ![X0]: (~rel_str(X0)|relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 37.66/5.14 inference(resolution,[status(thm)],[f170,f307])).
% 37.66/5.14 fof(f1284,plain,(
% 37.66/5.14 ![X0,X1]: (~in(X0,sk0_9(X1))|element(X0,X1)|empty(X1))),
% 37.66/5.14 inference(resolution,[status(thm)],[f339,f258])).
% 37.66/5.14 fof(f1286,plain,(
% 37.66/5.14 ![X0,X1]: (~in(X0,sk0_6(powerset(X1)))|element(X0,X1))),
% 37.66/5.14 inference(resolution,[status(thm)],[f339,f188])).
% 37.66/5.14 fof(f1295,plain,(
% 37.66/5.14 ![X0]: (element(sk0_6(sk0_6(powerset(X0))),X0)|empty(sk0_6(powerset(X0))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1286,f518])).
% 37.66/5.14 fof(f1297,plain,(
% 37.66/5.14 ![X0]: (element(sk0_6(sk0_9(X0)),X0)|empty(X0)|empty(sk0_9(X0)))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1284,f518])).
% 37.66/5.14 fof(f1298,plain,(
% 37.66/5.14 ![X0]: (element(sk0_6(sk0_9(X0)),X0)|empty(X0))),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1297,f259])).
% 37.66/5.14 fof(f1299,plain,(
% 37.66/5.14 spl0_116 <=> ~in(X0,sk0_6(sk0_9(powerset(empty_set))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1300,plain,(
% 37.66/5.14 ![X0]: (~in(X0,sk0_6(sk0_9(powerset(empty_set))))|~spl0_116)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1299])).
% 37.66/5.14 fof(f1302,plain,(
% 37.66/5.14 ![X0]: (empty(powerset(empty_set))|~in(X0,sk0_6(sk0_9(powerset(empty_set)))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f1197])).
% 37.66/5.14 fof(f1303,plain,(
% 37.66/5.14 spl0_113|spl0_116),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1302,f1216,f1299])).
% 37.66/5.14 fof(f1310,plain,(
% 37.66/5.14 spl0_117 <=> cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(the_carrier(sk0_19))))=sk0_6(sk0_9(the_carrier(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1311,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(the_carrier(sk0_19))))=sk0_6(sk0_9(the_carrier(sk0_19)))|~spl0_117),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1310])).
% 37.66/5.14 fof(f1313,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(the_carrier(sk0_19))))=sk0_6(sk0_9(the_carrier(sk0_19)))|~spl0_4),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f376])).
% 37.66/5.14 fof(f1314,plain,(
% 37.66/5.14 spl0_34|spl0_117|~spl0_4),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1313,f534,f1310,f375])).
% 37.66/5.14 fof(f1315,plain,(
% 37.66/5.14 spl0_118 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1318,plain,(
% 37.66/5.14 spl0_119 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1321,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f1042])).
% 37.66/5.14 fof(f1322,plain,(
% 37.66/5.14 spl0_27|~spl0_118|spl0_119|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1321,f502,f1315,f1318,f983])).
% 37.66/5.14 fof(f1323,plain,(
% 37.66/5.14 spl0_120 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1326,plain,(
% 37.66/5.14 spl0_121 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1329,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(the_carrier(sk0_18)))|~spl0_82|~spl0_26),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f1041])).
% 37.66/5.14 fof(f1330,plain,(
% 37.66/5.14 spl0_27|~spl0_120|spl0_121|~spl0_82|~spl0_26),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1329,f502,f1323,f1326,f983,f495])).
% 37.66/5.14 fof(f1331,plain,(
% 37.66/5.14 spl0_122 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1334,plain,(
% 37.66/5.14 ![X0]: (empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))|~spl0_82)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f984])).
% 37.66/5.14 fof(f1335,plain,(
% 37.66/5.14 spl0_27|spl0_122|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1334,f502,f1331,f983])).
% 37.66/5.14 fof(f1336,plain,(
% 37.66/5.14 spl0_123 <=> in(ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1337,plain,(
% 37.66/5.14 in(ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_123),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1336])).
% 37.66/5.14 fof(f1339,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f666])).
% 37.66/5.14 fof(f1340,plain,(
% 37.66/5.14 spl0_27|spl0_123|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1339,f502,f1336,f665])).
% 37.66/5.14 fof(f1341,plain,(
% 37.66/5.14 spl0_124 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1342,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))|~spl0_124),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1341])).
% 37.66/5.14 fof(f1346,plain,(
% 37.66/5.14 spl0_125 <=> empty(the_carrier(sk0_18))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1347,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|~spl0_125),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1346])).
% 37.66/5.14 fof(f1349,plain,(
% 37.66/5.14 spl0_126 <=> element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1350,plain,(
% 37.66/5.14 element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_126),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1349])).
% 37.66/5.14 fof(f1352,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_21),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f465])).
% 37.66/5.14 fof(f1353,plain,(
% 37.66/5.14 spl0_125|spl0_126|~spl0_21),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1352,f1346,f1349,f464])).
% 37.66/5.14 fof(f1354,plain,(
% 37.66/5.14 spl0_127 <=> in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1357,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_31),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f520])).
% 37.66/5.14 fof(f1358,plain,(
% 37.66/5.14 spl0_125|spl0_127|~spl0_31),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1357,f1346,f1354,f519])).
% 37.66/5.14 fof(f1359,plain,(
% 37.66/5.14 spl0_128 <=> cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18))))=sk0_6(sk0_9(the_carrier(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1360,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18))))=sk0_6(sk0_9(the_carrier(sk0_18)))|~spl0_128),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1359])).
% 37.66/5.14 fof(f1362,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(the_carrier(sk0_18))))=sk0_6(sk0_9(the_carrier(sk0_18)))|~spl0_22),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f470])).
% 37.66/5.14 fof(f1363,plain,(
% 37.66/5.14 spl0_125|spl0_128|~spl0_22),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1362,f1346,f1359,f469])).
% 37.66/5.14 fof(f1364,plain,(
% 37.66/5.14 ![X0]: (empty(X0)|empty(X0)|in(sk0_6(sk0_9(X0)),X0))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1298,f328])).
% 37.66/5.14 fof(f1365,plain,(
% 37.66/5.14 ![X0]: (empty(X0)|in(sk0_6(sk0_9(X0)),X0))),
% 37.66/5.14 inference(duplicate_literals_removal,[status(esa)],[f1364])).
% 37.66/5.14 fof(f1366,plain,(
% 37.66/5.14 spl0_129 <=> one_sorted_str(sk0_18)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1368,plain,(
% 37.66/5.14 ~one_sorted_str(sk0_18)|spl0_129),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1366])).
% 37.66/5.14 fof(f1369,plain,(
% 37.66/5.14 empty_carrier(sk0_18)|~one_sorted_str(sk0_18)|~spl0_125),
% 37.66/5.14 inference(resolution,[status(thm)],[f1347,f195])).
% 37.66/5.14 fof(f1370,plain,(
% 37.66/5.14 spl0_14|~spl0_129|~spl0_125),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1369,f429,f1366,f1346])).
% 37.66/5.14 fof(f1407,plain,(
% 37.66/5.14 ~latt_str(sk0_18)|spl0_129),
% 37.66/5.14 inference(resolution,[status(thm)],[f1368,f693])).
% 37.66/5.14 fof(f1408,plain,(
% 37.66/5.14 ~spl0_17|spl0_129),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1407,f438,f1366])).
% 37.66/5.14 fof(f1412,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_128|~spl0_126),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f1360,f1350])).
% 37.66/5.14 fof(f1418,plain,(
% 37.66/5.14 ![X0]: (empty(sk0_9(X0))|element(sk0_6(sk0_9(sk0_9(X0))),X0)|empty(X0))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1365,f1284])).
% 37.66/5.14 fof(f1419,plain,(
% 37.66/5.14 ![X0]: (element(sk0_6(sk0_9(sk0_9(X0))),X0)|empty(X0))),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1418,f259])).
% 37.66/5.14 fof(f1424,plain,(
% 37.66/5.14 empty(sk0_6(sk0_9(powerset(empty_set))))|~spl0_116),
% 37.66/5.14 inference(resolution,[status(thm)],[f1300,f1365])).
% 37.66/5.14 fof(f1428,plain,(
% 37.66/5.14 sk0_6(sk0_9(powerset(empty_set)))=empty_set|~spl0_116),
% 37.66/5.14 inference(resolution,[status(thm)],[f1424,f344])).
% 37.66/5.14 fof(f1436,plain,(
% 37.66/5.14 spl0_130 <=> element(empty_set,powerset(empty_set))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1439,plain,(
% 37.66/5.14 element(empty_set,powerset(empty_set))|empty(powerset(empty_set))|~spl0_116),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1428,f1298])).
% 37.66/5.14 fof(f1440,plain,(
% 37.66/5.14 spl0_130|spl0_113|~spl0_116),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1439,f1436,f1216,f1299])).
% 37.66/5.14 fof(f1441,plain,(
% 37.66/5.14 spl0_131 <=> empty(sk0_9(powerset(empty_set)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1442,plain,(
% 37.66/5.14 empty(sk0_9(powerset(empty_set)))|~spl0_131),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1441])).
% 37.66/5.14 fof(f1444,plain,(
% 37.66/5.14 spl0_132 <=> in(sk0_9(powerset(empty_set)),empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1447,plain,(
% 37.66/5.14 empty(sk0_9(powerset(empty_set)))|~in(sk0_9(powerset(empty_set)),empty_set)|~spl0_116),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1428,f756])).
% 37.66/5.14 fof(f1448,plain,(
% 37.66/5.14 spl0_131|~spl0_132|~spl0_116),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1447,f1441,f1444,f1299])).
% 37.66/5.14 fof(f1449,plain,(
% 37.66/5.14 spl0_133 <=> in(empty_set,sk0_9(powerset(empty_set)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1452,plain,(
% 37.66/5.14 empty(sk0_9(powerset(empty_set)))|in(empty_set,sk0_9(powerset(empty_set)))|~spl0_116),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1428,f518])).
% 37.66/5.14 fof(f1453,plain,(
% 37.66/5.14 spl0_131|spl0_133|~spl0_116),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1452,f1441,f1449,f1299])).
% 37.66/5.14 fof(f1454,plain,(
% 37.66/5.14 element(empty_set,sk0_9(powerset(empty_set)))|~spl0_116),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1428,f188])).
% 37.66/5.14 fof(f1455,plain,(
% 37.66/5.14 empty(powerset(empty_set))|~spl0_131),
% 37.66/5.14 inference(resolution,[status(thm)],[f1442,f259])).
% 37.66/5.14 fof(f1456,plain,(
% 37.66/5.14 spl0_113|~spl0_131),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1455,f1216,f1441])).
% 37.66/5.14 fof(f1465,plain,(
% 37.66/5.14 ![X0,X1]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1)|~latt_str(k8_filter_1(X0,X1))|k8_filter_1(X0,X1)=latt_str_of(the_carrier(k8_filter_1(X0,X1)),the_L_join(k8_filter_1(X0,X1)),the_L_meet(k8_filter_1(X0,X1))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f150,f98])).
% 37.66/5.14 fof(f1466,plain,(
% 37.66/5.14 ![X0,X1]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1)|k8_filter_1(X0,X1)=latt_str_of(the_carrier(k8_filter_1(X0,X1)),the_L_join(k8_filter_1(X0,X1)),the_L_meet(k8_filter_1(X0,X1))))),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1465,f151])).
% 37.66/5.14 fof(f1477,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_19))|~element(sk0_20,the_carrier(poset_of_lattice(sk0_19)))|~element(sk0_21,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),sk0_20,sk0_21)|~spl0_110),
% 37.66/5.14 inference(resolution,[status(thm)],[f1188,f124])).
% 37.66/5.14 fof(f1478,plain,(
% 37.66/5.14 ~spl0_58|~spl0_7|~spl0_9|spl0_101|~spl0_110),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1477,f684,f396,f404,f1108,f1187])).
% 37.66/5.14 fof(f1483,plain,(
% 37.66/5.14 spl0_134 <=> below_refl(sk0_19,sk0_21,sk0_21)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1484,plain,(
% 37.66/5.14 below_refl(sk0_19,sk0_21,sk0_21)|~spl0_134),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1483])).
% 37.66/5.14 fof(f1486,plain,(
% 37.66/5.14 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~element(sk0_21,the_carrier(sk0_19))|~element(sk0_21,the_carrier(sk0_19))|below_refl(sk0_19,sk0_21,sk0_21)|~spl0_97),
% 37.66/5.14 inference(resolution,[status(thm)],[f1091,f331])).
% 37.66/5.14 fof(f1487,plain,(
% 37.66/5.14 spl0_2|~spl0_59|~spl0_3|~spl0_8|spl0_134|~spl0_97),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1486,f369,f724,f372,f401,f1483,f1090])).
% 37.66/5.14 fof(f1488,plain,(
% 37.66/5.14 ~empty(relation_of_lattice(sk0_19))|~spl0_97),
% 37.66/5.14 inference(resolution,[status(thm)],[f1091,f347])).
% 37.66/5.14 fof(f1489,plain,(
% 37.66/5.14 element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),relation_of_lattice(sk0_19))|~spl0_97),
% 37.66/5.14 inference(resolution,[status(thm)],[f1091,f326])).
% 37.66/5.14 fof(f1501,plain,(
% 37.66/5.14 spl0_135 <=> below_refl(sk0_19,sk0_20,sk0_20)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1502,plain,(
% 37.66/5.14 below_refl(sk0_19,sk0_20,sk0_20)|~spl0_135),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1501])).
% 37.66/5.14 fof(f1504,plain,(
% 37.66/5.14 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~element(sk0_20,the_carrier(sk0_19))|~element(sk0_20,the_carrier(sk0_19))|below_refl(sk0_19,sk0_20,sk0_20)|~spl0_102),
% 37.66/5.14 inference(resolution,[status(thm)],[f1116,f331])).
% 37.66/5.14 fof(f1505,plain,(
% 37.66/5.14 spl0_2|~spl0_59|~spl0_3|~spl0_6|spl0_135|~spl0_102),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1504,f369,f724,f372,f393,f1501,f1115])).
% 37.66/5.14 fof(f1506,plain,(
% 37.66/5.14 element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),relation_of_lattice(sk0_19))|~spl0_102),
% 37.66/5.14 inference(resolution,[status(thm)],[f1116,f326])).
% 37.66/5.14 fof(f1512,plain,(
% 37.66/5.14 spl0_136 <=> in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1513,plain,(
% 37.66/5.14 in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_136),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1512])).
% 37.66/5.14 fof(f1515,plain,(
% 37.66/5.14 in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))|empty(the_carrier(sk0_19))|~spl0_32),
% 37.66/5.14 inference(resolution,[status(thm)],[f525,f1298])).
% 37.66/5.14 fof(f1516,plain,(
% 37.66/5.14 spl0_136|spl0_34|~spl0_32),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1515,f1512,f534,f524])).
% 37.66/5.14 fof(f1518,plain,(
% 37.66/5.14 in(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_117|~spl0_136),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f1311,f1513])).
% 37.66/5.14 fof(f1519,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_117|~spl0_136),
% 37.66/5.14 inference(resolution,[status(thm)],[f1518,f326])).
% 37.66/5.14 fof(f1521,plain,(
% 37.66/5.14 spl0_137 <=> in(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1524,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_19)))|in(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_117|~spl0_136),
% 37.66/5.14 inference(resolution,[status(thm)],[f1519,f328])).
% 37.66/5.14 fof(f1525,plain,(
% 37.66/5.14 spl0_29|spl0_137|~spl0_117|~spl0_136),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1524,f510,f1521,f1310,f1512])).
% 37.66/5.14 fof(f1526,plain,(
% 37.66/5.14 spl0_138 <=> element(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1527,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(sk0_19))|~spl0_138),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1526])).
% 37.66/5.14 fof(f1528,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(sk0_19))|spl0_138),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1526])).
% 37.66/5.14 fof(f1529,plain,(
% 37.66/5.14 spl0_139 <=> element(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1532,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(sk0_19))|element(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_5|~spl0_117),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1311,f389])).
% 37.66/5.14 fof(f1533,plain,(
% 37.66/5.14 ~spl0_138|spl0_139|~spl0_5|~spl0_117),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1532,f1526,f1529,f388,f1310])).
% 37.66/5.14 fof(f1534,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|spl0_138),
% 37.66/5.14 inference(resolution,[status(thm)],[f1528,f1298])).
% 37.66/5.14 fof(f1535,plain,(
% 37.66/5.14 spl0_34|spl0_138),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1534,f534,f1526])).
% 37.66/5.14 fof(f1537,plain,(
% 37.66/5.14 spl0_140 <=> in(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1540,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|in(sk0_6(sk0_9(the_carrier(sk0_19))),the_carrier(sk0_19))|~spl0_138),
% 37.66/5.14 inference(resolution,[status(thm)],[f1527,f328])).
% 37.66/5.14 fof(f1541,plain,(
% 37.66/5.14 spl0_34|spl0_140|~spl0_138),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1540,f534,f1537,f1526])).
% 37.66/5.14 fof(f1548,plain,(
% 37.66/5.14 spl0_141 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|~element(X0,the_carrier(sk0_19))|below_refl(sk0_19,X0,sk0_20)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1551,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(sk0_20,the_carrier(sk0_19))|below_refl(sk0_19,X0,sk0_20)|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1083,f331])).
% 37.66/5.14 fof(f1552,plain,(
% 37.66/5.14 spl0_141|spl0_2|~spl0_59|~spl0_3|~spl0_6|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1551,f1548,f369,f724,f372,f393,f1077])).
% 37.66/5.14 fof(f1553,plain,(
% 37.66/5.14 spl0_142 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1554,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|~spl0_142)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1553])).
% 37.66/5.14 fof(f1556,plain,(
% 37.66/5.14 spl0_143 <=> empty(relation_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1561,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_20),relation_of_lattice(sk0_19))|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1083,f326])).
% 37.66/5.14 fof(f1568,plain,(
% 37.66/5.14 spl0_144 <=> ~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|below_refl(sk0_19,X0,X0)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1571,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|below_refl(sk0_19,X0,X0)|~spl0_104)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1144,f331])).
% 37.66/5.14 fof(f1572,plain,(
% 37.66/5.14 spl0_144|spl0_2|~spl0_59|~spl0_3|~spl0_104),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1571,f1568,f369,f724,f372,f1137])).
% 37.66/5.14 fof(f1575,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),relation_of_lattice(sk0_19))|~spl0_104)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1144,f326])).
% 37.66/5.14 fof(f1577,plain,(
% 37.66/5.14 spl0_145 <=> ~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),relation_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1580,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|empty(relation_of_lattice(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),relation_of_lattice(sk0_19))|~spl0_104)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1575,f328])).
% 37.66/5.14 fof(f1581,plain,(
% 37.66/5.14 spl0_145|spl0_143|~spl0_104),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1580,f1577,f1556,f1137])).
% 37.66/5.14 fof(f1582,plain,(
% 37.66/5.14 spl0_146 <=> below_refl(sk0_19,sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1583,plain,(
% 37.66/5.14 below_refl(sk0_19,sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19)))|~spl0_146),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1582])).
% 37.66/5.14 fof(f1585,plain,(
% 37.66/5.14 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|below_refl(sk0_19,sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19)))|~spl0_103),
% 37.66/5.14 inference(resolution,[status(thm)],[f1123,f331])).
% 37.66/5.14 fof(f1586,plain,(
% 37.66/5.14 spl0_2|~spl0_59|~spl0_3|~spl0_23|spl0_146|~spl0_103),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1585,f369,f724,f372,f481,f1582,f1122])).
% 37.66/5.14 fof(f1587,plain,(
% 37.66/5.14 element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),relation_of_lattice(sk0_19))|~spl0_103),
% 37.66/5.14 inference(resolution,[status(thm)],[f1123,f326])).
% 37.66/5.14 fof(f1595,plain,(
% 37.66/5.14 spl0_147 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|~element(X0,the_carrier(sk0_19))|below_refl(sk0_19,X0,sk0_21)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1598,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(sk0_21,the_carrier(sk0_19))|below_refl(sk0_19,X0,sk0_21)|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1082,f331])).
% 37.66/5.14 fof(f1599,plain,(
% 37.66/5.14 spl0_147|spl0_2|~spl0_59|~spl0_3|~spl0_8|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1598,f1595,f369,f724,f372,f401,f1077])).
% 37.66/5.14 fof(f1600,plain,(
% 37.66/5.14 spl0_148 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1601,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|~spl0_148)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1600])).
% 37.66/5.14 fof(f1603,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|~empty(relation_of_lattice(sk0_19))|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1082,f347])).
% 37.66/5.14 fof(f1604,plain,(
% 37.66/5.14 spl0_148|~spl0_143|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1603,f1600,f1556,f1077])).
% 37.66/5.14 fof(f1605,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_21),relation_of_lattice(sk0_19))|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1082,f326])).
% 37.66/5.14 fof(f1607,plain,(
% 37.66/5.14 spl0_149 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_20),relation_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1610,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|empty(relation_of_lattice(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_20),relation_of_lattice(sk0_19))|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1561,f328])).
% 37.66/5.14 fof(f1611,plain,(
% 37.66/5.14 spl0_149|spl0_143|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1610,f1607,f1556,f1077])).
% 37.66/5.14 fof(f1612,plain,(
% 37.66/5.14 spl0_150 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_21),relation_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1615,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|empty(relation_of_lattice(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_21),relation_of_lattice(sk0_19))|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1605,f328])).
% 37.66/5.14 fof(f1616,plain,(
% 37.66/5.14 spl0_150|spl0_143|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1615,f1612,f1556,f1077])).
% 37.66/5.14 fof(f1625,plain,(
% 37.66/5.14 spl0_151 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1628,plain,(
% 37.66/5.14 spl0_152 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1631,plain,(
% 37.66/5.14 ~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_128|~spl0_126|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f1412,f1042])).
% 37.66/5.14 fof(f1632,plain,(
% 37.66/5.14 ~spl0_151|spl0_152|~spl0_128|~spl0_126|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1631,f1625,f1628,f1359,f1349,f983])).
% 37.66/5.14 fof(f1634,plain,(
% 37.66/5.14 in(ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_128|~spl0_126|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1412,f666])).
% 37.66/5.14 fof(f1635,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18))))|~spl0_128|~spl0_126|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f1412,f998])).
% 37.66/5.14 fof(f1636,plain,(
% 37.66/5.14 spl0_153 <=> in(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1639,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_128|~spl0_126),
% 37.66/5.14 inference(resolution,[status(thm)],[f1412,f328])).
% 37.66/5.14 fof(f1640,plain,(
% 37.66/5.14 spl0_27|spl0_153|~spl0_128|~spl0_126),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1639,f502,f1636,f1359,f1349])).
% 37.66/5.14 fof(f1660,plain,(
% 37.66/5.14 spl0_154 <=> element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1662,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|spl0_154),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1660])).
% 37.66/5.14 fof(f1663,plain,(
% 37.66/5.14 spl0_155 <=> in(ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1666,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_128|~spl0_126|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f1635,f123])).
% 37.66/5.14 fof(f1667,plain,(
% 37.66/5.14 ~spl0_77|~spl0_154|spl0_155|~spl0_128|~spl0_126|~spl0_84),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1666,f949,f1660,f1663,f1359,f1349,f993])).
% 37.66/5.14 fof(f1668,plain,(
% 37.66/5.14 spl0_156 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1669,plain,(
% 37.66/5.14 related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18))))|~spl0_156),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1668])).
% 37.66/5.14 fof(f1671,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18))))|~spl0_128|~spl0_126|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f1635,f316])).
% 37.66/5.14 fof(f1672,plain,(
% 37.66/5.14 spl0_66|~spl0_80|~spl0_77|~spl0_154|spl0_156|~spl0_128|~spl0_126|~spl0_84),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1671,f788,f973,f949,f1660,f1668,f1359,f1349,f993])).
% 37.66/5.14 fof(f1673,plain,(
% 37.66/5.14 $false|~spl0_128|~spl0_126|spl0_154),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1662,f1412])).
% 37.66/5.14 fof(f1674,plain,(
% 37.66/5.14 ~spl0_128|~spl0_126|spl0_154),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f1673])).
% 37.66/5.14 fof(f1675,plain,(
% 37.66/5.14 spl0_157 <=> element(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1676,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_157),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1675])).
% 37.66/5.14 fof(f1677,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|spl0_157),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1675])).
% 37.66/5.14 fof(f1678,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))|~spl0_123),
% 37.66/5.14 inference(resolution,[status(thm)],[f1337,f124])).
% 37.66/5.14 fof(f1679,plain,(
% 37.66/5.14 ~spl0_77|~spl0_157|spl0_124|~spl0_123),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1678,f949,f1675,f1341,f1336])).
% 37.66/5.14 fof(f1680,plain,(
% 37.66/5.14 element(ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_123),
% 37.66/5.14 inference(resolution,[status(thm)],[f1337,f326])).
% 37.66/5.14 fof(f1682,plain,(
% 37.66/5.14 spl0_158 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1687,plain,(
% 37.66/5.14 element(ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_128|~spl0_126|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1634,f326])).
% 37.66/5.14 fof(f1691,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(the_carrier(sk0_18))),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18))))|empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|~spl0_156),
% 37.66/5.14 inference(resolution,[status(thm)],[f1669,f570])).
% 37.66/5.14 fof(f1692,plain,(
% 37.66/5.14 ~spl0_154|spl0_158|spl0_14|~spl0_49|~spl0_17|~spl0_156),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1691,f1660,f1682,f429,f625,f438,f1668])).
% 37.66/5.14 fof(f1695,plain,(
% 37.66/5.14 spl0_159 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1698,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))|~spl0_124),
% 37.66/5.14 inference(resolution,[status(thm)],[f1342,f316])).
% 37.66/5.14 fof(f1699,plain,(
% 37.66/5.14 spl0_66|~spl0_80|~spl0_77|~spl0_157|spl0_159|~spl0_124),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1698,f788,f973,f949,f1675,f1695,f1341])).
% 37.66/5.14 fof(f1700,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|spl0_157),
% 37.66/5.14 inference(resolution,[status(thm)],[f1677,f1298])).
% 37.66/5.14 fof(f1701,plain,(
% 37.66/5.14 spl0_27|spl0_157),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1700,f502,f1675])).
% 37.66/5.14 fof(f1704,plain,(
% 37.66/5.14 spl0_160 <=> in(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1707,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_157),
% 37.66/5.14 inference(resolution,[status(thm)],[f1676,f328])).
% 37.66/5.14 fof(f1708,plain,(
% 37.66/5.14 spl0_27|spl0_160|~spl0_157),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1707,f502,f1704,f1675])).
% 37.66/5.14 fof(f1749,plain,(
% 37.66/5.14 spl0_161 <=> ~in(X0,sk0_6(sk0_9(sk0_9(powerset(empty_set)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1750,plain,(
% 37.66/5.14 ![X0]: (~in(X0,sk0_6(sk0_9(sk0_9(powerset(empty_set)))))|~spl0_161)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1749])).
% 37.66/5.14 fof(f1752,plain,(
% 37.66/5.14 ![X0]: (empty(powerset(empty_set))|~in(X0,sk0_6(sk0_9(sk0_9(powerset(empty_set))))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f1197])).
% 37.66/5.14 fof(f1753,plain,(
% 37.66/5.14 spl0_113|spl0_161),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1752,f1216,f1749])).
% 37.66/5.14 fof(f1760,plain,(
% 37.66/5.14 spl0_162 <=> in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1763,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_31),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f520])).
% 37.66/5.14 fof(f1764,plain,(
% 37.66/5.14 spl0_125|spl0_162|~spl0_31),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1763,f1346,f1760,f519])).
% 37.66/5.14 fof(f1765,plain,(
% 37.66/5.14 spl0_163 <=> element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1766,plain,(
% 37.66/5.14 element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_163),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1765])).
% 37.66/5.14 fof(f1768,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_21),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f465])).
% 37.66/5.14 fof(f1769,plain,(
% 37.66/5.14 spl0_125|spl0_163|~spl0_21),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1768,f1346,f1765,f464])).
% 37.66/5.14 fof(f1770,plain,(
% 37.66/5.14 spl0_164 <=> cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))=sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1771,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))=sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))|~spl0_164),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1770])).
% 37.66/5.14 fof(f1773,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))=sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))|~spl0_22),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f470])).
% 37.66/5.14 fof(f1774,plain,(
% 37.66/5.14 spl0_125|spl0_164|~spl0_22),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1773,f1346,f1770,f469])).
% 37.66/5.14 fof(f1775,plain,(
% 37.66/5.14 spl0_165 <=> in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1776,plain,(
% 37.66/5.14 in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_165),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1775])).
% 37.66/5.14 fof(f1778,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_32),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f525])).
% 37.66/5.14 fof(f1779,plain,(
% 37.66/5.14 spl0_34|spl0_165|~spl0_32),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1778,f534,f1775,f524])).
% 37.66/5.14 fof(f1780,plain,(
% 37.66/5.14 spl0_166 <=> cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))=sk0_6(sk0_9(sk0_9(the_carrier(sk0_19))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1781,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))=sk0_6(sk0_9(sk0_9(the_carrier(sk0_19))))|~spl0_166),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1780])).
% 37.66/5.14 fof(f1783,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))=sk0_6(sk0_9(sk0_9(the_carrier(sk0_19))))|~spl0_4),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f376])).
% 37.66/5.14 fof(f1784,plain,(
% 37.66/5.14 spl0_34|spl0_166|~spl0_4),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1783,f534,f1780,f375])).
% 37.66/5.14 fof(f1785,plain,(
% 37.66/5.14 spl0_167 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1788,plain,(
% 37.66/5.14 spl0_168 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1791,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f1042])).
% 37.66/5.14 fof(f1792,plain,(
% 37.66/5.14 spl0_27|~spl0_167|spl0_168|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1791,f502,f1785,f1788,f983])).
% 37.66/5.14 fof(f1793,plain,(
% 37.66/5.14 spl0_169 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1796,plain,(
% 37.66/5.14 ![X0]: (empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_82)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f984])).
% 37.66/5.14 fof(f1797,plain,(
% 37.66/5.14 spl0_27|spl0_169|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1796,f502,f1793,f983])).
% 37.66/5.14 fof(f1798,plain,(
% 37.66/5.14 spl0_170 <=> in(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1799,plain,(
% 37.66/5.14 in(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_170),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1798])).
% 37.66/5.14 fof(f1801,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f666])).
% 37.66/5.14 fof(f1802,plain,(
% 37.66/5.14 spl0_27|spl0_170|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1801,f502,f1798,f665])).
% 37.66/5.14 fof(f1803,plain,(
% 37.66/5.14 spl0_171 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1804,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_171),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1803])).
% 37.66/5.14 fof(f1808,plain,(
% 37.66/5.14 ![X0]: (empty(X0)|empty(X0)|in(sk0_6(sk0_9(sk0_9(X0))),X0))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1419,f328])).
% 37.66/5.14 fof(f1809,plain,(
% 37.66/5.14 ![X0]: (empty(X0)|in(sk0_6(sk0_9(sk0_9(X0))),X0))),
% 37.66/5.14 inference(duplicate_literals_removal,[status(esa)],[f1808])).
% 37.66/5.14 fof(f1810,plain,(
% 37.66/5.14 in(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_166|~spl0_165),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f1781,f1776])).
% 37.66/5.14 fof(f1811,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_164|~spl0_163),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f1771,f1766])).
% 37.66/5.14 fof(f1813,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_166|~spl0_165),
% 37.66/5.14 inference(resolution,[status(thm)],[f1810,f326])).
% 37.66/5.14 fof(f1815,plain,(
% 37.66/5.14 spl0_172 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1818,plain,(
% 37.66/5.14 spl0_173 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1821,plain,(
% 37.66/5.14 ~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_164|~spl0_163|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f1811,f1042])).
% 37.66/5.14 fof(f1822,plain,(
% 37.66/5.14 ~spl0_172|spl0_173|~spl0_164|~spl0_163|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1821,f1815,f1818,f1770,f1765,f983])).
% 37.66/5.14 fof(f1824,plain,(
% 37.66/5.14 in(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_164|~spl0_163|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1811,f666])).
% 37.66/5.14 fof(f1825,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))|~spl0_164|~spl0_163|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f1811,f998])).
% 37.66/5.14 fof(f1826,plain,(
% 37.66/5.14 spl0_174 <=> in(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1829,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_164|~spl0_163),
% 37.66/5.14 inference(resolution,[status(thm)],[f1811,f328])).
% 37.66/5.14 fof(f1830,plain,(
% 37.66/5.14 spl0_27|spl0_174|~spl0_164|~spl0_163),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1829,f502,f1826,f1770,f1765])).
% 37.66/5.14 fof(f1832,plain,(
% 37.66/5.14 spl0_175 <=> in(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1835,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_19)))|in(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_166|~spl0_165),
% 37.66/5.14 inference(resolution,[status(thm)],[f1813,f328])).
% 37.66/5.14 fof(f1836,plain,(
% 37.66/5.14 spl0_29|spl0_175|~spl0_166|~spl0_165),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1835,f510,f1832,f1780,f1775])).
% 37.66/5.14 fof(f1837,plain,(
% 37.66/5.14 spl0_176 <=> element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1838,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(sk0_19))|~spl0_176),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1837])).
% 37.66/5.14 fof(f1839,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(sk0_19))|spl0_176),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1837])).
% 37.66/5.14 fof(f1840,plain,(
% 37.66/5.14 spl0_177 <=> element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1843,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(sk0_19))|element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_5|~spl0_166),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1781,f389])).
% 37.66/5.14 fof(f1844,plain,(
% 37.66/5.14 ~spl0_176|spl0_177|~spl0_5|~spl0_166),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1843,f1837,f1840,f388,f1780])).
% 37.66/5.14 fof(f1845,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|spl0_176),
% 37.66/5.14 inference(resolution,[status(thm)],[f1839,f1419])).
% 37.66/5.14 fof(f1846,plain,(
% 37.66/5.14 spl0_34|spl0_176),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1845,f534,f1837])).
% 37.66/5.14 fof(f1848,plain,(
% 37.66/5.14 spl0_178 <=> in(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1851,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|in(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),the_carrier(sk0_19))|~spl0_176),
% 37.66/5.14 inference(resolution,[status(thm)],[f1838,f328])).
% 37.66/5.14 fof(f1852,plain,(
% 37.66/5.14 spl0_34|spl0_178|~spl0_176),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1851,f534,f1848,f1837])).
% 37.66/5.14 fof(f1854,plain,(
% 37.66/5.14 spl0_179 <=> element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1856,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|spl0_179),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1854])).
% 37.66/5.14 fof(f1857,plain,(
% 37.66/5.14 spl0_180 <=> in(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1860,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_164|~spl0_163|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f1825,f123])).
% 37.66/5.14 fof(f1861,plain,(
% 37.66/5.14 ~spl0_77|~spl0_179|spl0_180|~spl0_164|~spl0_163|~spl0_84),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1860,f949,f1854,f1857,f1770,f1765,f993])).
% 37.66/5.14 fof(f1862,plain,(
% 37.66/5.14 spl0_181 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1863,plain,(
% 37.66/5.14 related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))|~spl0_181),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1862])).
% 37.66/5.14 fof(f1865,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))|~spl0_164|~spl0_163|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f1825,f316])).
% 37.66/5.14 fof(f1866,plain,(
% 37.66/5.14 spl0_66|~spl0_80|~spl0_77|~spl0_179|spl0_181|~spl0_164|~spl0_163|~spl0_84),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1865,f788,f973,f949,f1854,f1862,f1770,f1765,f993])).
% 37.66/5.14 fof(f1867,plain,(
% 37.66/5.14 $false|~spl0_164|~spl0_163|spl0_179),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1856,f1811])).
% 37.66/5.14 fof(f1868,plain,(
% 37.66/5.14 ~spl0_164|~spl0_163|spl0_179),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f1867])).
% 37.66/5.14 fof(f1869,plain,(
% 37.66/5.14 spl0_182 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1872,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))|empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|~spl0_181),
% 37.66/5.14 inference(resolution,[status(thm)],[f1863,f570])).
% 37.66/5.14 fof(f1873,plain,(
% 37.66/5.14 ~spl0_179|spl0_182|spl0_14|~spl0_49|~spl0_17|~spl0_181),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1872,f1854,f1869,f429,f625,f438,f1862])).
% 37.66/5.14 fof(f1874,plain,(
% 37.66/5.14 spl0_183 <=> element(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1875,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_183),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1874])).
% 37.66/5.14 fof(f1876,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|spl0_183),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1874])).
% 37.66/5.14 fof(f1879,plain,(
% 37.66/5.14 spl0_184 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1882,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_171),
% 37.66/5.14 inference(resolution,[status(thm)],[f1804,f316])).
% 37.66/5.14 fof(f1883,plain,(
% 37.66/5.14 spl0_66|~spl0_80|~spl0_77|~spl0_183|spl0_184|~spl0_171),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1882,f788,f973,f949,f1874,f1879,f1803])).
% 37.66/5.14 fof(f1884,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|spl0_183),
% 37.66/5.14 inference(resolution,[status(thm)],[f1876,f1419])).
% 37.66/5.14 fof(f1885,plain,(
% 37.66/5.14 spl0_27|spl0_183),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1884,f502,f1874])).
% 37.66/5.14 fof(f1886,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_170),
% 37.66/5.14 inference(resolution,[status(thm)],[f1799,f124])).
% 37.66/5.14 fof(f1887,plain,(
% 37.66/5.14 ~spl0_77|~spl0_183|spl0_171|~spl0_170),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1886,f949,f1874,f1803,f1798])).
% 37.66/5.14 fof(f1888,plain,(
% 37.66/5.14 element(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_170),
% 37.66/5.14 inference(resolution,[status(thm)],[f1799,f326])).
% 37.66/5.14 fof(f1892,plain,(
% 37.66/5.14 element(ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_164|~spl0_163|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1824,f326])).
% 37.66/5.14 fof(f1910,plain,(
% 37.66/5.14 ![X0]: (empty(sk0_9(X0))|element(sk0_6(sk0_9(sk0_9(sk0_9(X0)))),X0)|empty(X0))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1809,f1284])).
% 37.66/5.14 fof(f1911,plain,(
% 37.66/5.14 ![X0]: (element(sk0_6(sk0_9(sk0_9(sk0_9(X0)))),X0)|empty(X0))),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1910,f259])).
% 37.66/5.14 fof(f1916,plain,(
% 37.66/5.14 empty(sk0_6(sk0_9(sk0_9(powerset(empty_set)))))|~spl0_161),
% 37.66/5.14 inference(resolution,[status(thm)],[f1750,f1809])).
% 37.66/5.14 fof(f1921,plain,(
% 37.66/5.14 sk0_6(sk0_9(sk0_9(powerset(empty_set))))=empty_set|~spl0_161),
% 37.66/5.14 inference(resolution,[status(thm)],[f1916,f344])).
% 37.66/5.14 fof(f1935,plain,(
% 37.66/5.14 spl0_185 <=> element(empty_set,sk0_9(powerset(empty_set)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1938,plain,(
% 37.66/5.14 element(empty_set,sk0_9(powerset(empty_set)))|empty(sk0_9(powerset(empty_set)))|~spl0_161),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1921,f1298])).
% 37.66/5.14 fof(f1939,plain,(
% 37.66/5.14 spl0_185|spl0_131|~spl0_161),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1938,f1935,f1441,f1749])).
% 37.66/5.14 fof(f1940,plain,(
% 37.66/5.14 spl0_186 <=> empty(sk0_9(sk0_9(powerset(empty_set))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1941,plain,(
% 37.66/5.14 empty(sk0_9(sk0_9(powerset(empty_set))))|~spl0_186),
% 37.66/5.14 inference(component_clause,[status(thm)],[f1940])).
% 37.66/5.14 fof(f1943,plain,(
% 37.66/5.14 spl0_187 <=> in(sk0_9(sk0_9(powerset(empty_set))),empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1946,plain,(
% 37.66/5.14 empty(sk0_9(sk0_9(powerset(empty_set))))|~in(sk0_9(sk0_9(powerset(empty_set))),empty_set)|~spl0_161),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1921,f756])).
% 37.66/5.14 fof(f1947,plain,(
% 37.66/5.14 spl0_186|~spl0_187|~spl0_161),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1946,f1940,f1943,f1749])).
% 37.66/5.14 fof(f1948,plain,(
% 37.66/5.14 spl0_188 <=> in(empty_set,sk0_9(sk0_9(powerset(empty_set))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f1951,plain,(
% 37.66/5.14 empty(sk0_9(sk0_9(powerset(empty_set))))|in(empty_set,sk0_9(sk0_9(powerset(empty_set))))|~spl0_161),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1921,f518])).
% 37.66/5.14 fof(f1952,plain,(
% 37.66/5.14 spl0_186|spl0_188|~spl0_161),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1951,f1940,f1948,f1749])).
% 37.66/5.14 fof(f1953,plain,(
% 37.66/5.14 element(empty_set,sk0_9(sk0_9(powerset(empty_set))))|~spl0_161),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f1921,f188])).
% 37.66/5.14 fof(f1954,plain,(
% 37.66/5.14 empty(sk0_9(powerset(empty_set)))|~spl0_186),
% 37.66/5.14 inference(resolution,[status(thm)],[f1941,f259])).
% 37.66/5.14 fof(f1955,plain,(
% 37.66/5.14 spl0_131|~spl0_186),
% 37.66/5.14 inference(split_clause,[status(thm)],[f1954,f1441,f1940])).
% 37.66/5.14 fof(f1993,plain,(
% 37.66/5.14 ![X0]: (~rel_str(X0)|rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1281,f127])).
% 37.66/5.14 fof(f1994,plain,(
% 37.66/5.14 ![X0]: (~rel_str(X0)|strict_rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1281,f126])).
% 37.66/5.14 fof(f2005,plain,(
% 37.66/5.14 spl0_189 <=> strict_rel_str(sk0_11)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2008,plain,(
% 37.66/5.14 ~rel_str(sk0_11)|strict_rel_str(sk0_11)|~spl0_41),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f587,f1994])).
% 37.66/5.14 fof(f2009,plain,(
% 37.66/5.14 ~spl0_11|spl0_189|~spl0_41),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2008,f416,f2005,f586])).
% 37.66/5.14 fof(f2010,plain,(
% 37.66/5.14 spl0_190 <=> strict_rel_str(sk0_8)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2013,plain,(
% 37.66/5.14 ~rel_str(sk0_8)|strict_rel_str(sk0_8)|~spl0_40),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f580,f1994])).
% 37.66/5.14 fof(f2014,plain,(
% 37.66/5.14 ~spl0_39|spl0_190|~spl0_40),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2013,f576,f2010,f579])).
% 37.66/5.14 fof(f2015,plain,(
% 37.66/5.14 spl0_191 <=> strict_rel_str(poset_of_lattice(sk0_18))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2018,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|strict_rel_str(poset_of_lattice(sk0_18))|~spl0_75),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f938,f1994])).
% 37.66/5.14 fof(f2019,plain,(
% 37.66/5.14 ~spl0_77|spl0_191|~spl0_75),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2018,f949,f2015,f937])).
% 37.66/5.14 fof(f2020,plain,(
% 37.66/5.14 spl0_192 <=> strict_rel_str(poset_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2023,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_19))|strict_rel_str(poset_of_lattice(sk0_19))|~spl0_76),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f943,f1994])).
% 37.66/5.14 fof(f2024,plain,(
% 37.66/5.14 ~spl0_58|spl0_192|~spl0_76),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2023,f684,f2020,f942])).
% 37.66/5.14 fof(f2053,plain,(
% 37.66/5.14 spl0_193 <=> k2_lattice3(sk0_18)=relation_of_lattice(sk0_18)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2054,plain,(
% 37.66/5.14 k2_lattice3(sk0_18)=relation_of_lattice(sk0_18)|~spl0_193),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2053])).
% 37.66/5.14 fof(f2056,plain,(
% 37.66/5.14 empty_carrier(sk0_18)|~latt_str(sk0_18)|k2_lattice3(sk0_18)=relation_of_lattice(sk0_18)),
% 37.66/5.14 inference(resolution,[status(thm)],[f304,f298])).
% 37.66/5.14 fof(f2057,plain,(
% 37.66/5.14 spl0_14|~spl0_17|spl0_193),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2056,f429,f438,f2053])).
% 37.66/5.14 fof(f2058,plain,(
% 37.66/5.14 spl0_194 <=> k2_lattice3(sk0_19)=relation_of_lattice(sk0_19)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2059,plain,(
% 37.66/5.14 k2_lattice3(sk0_19)=relation_of_lattice(sk0_19)|~spl0_194),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2058])).
% 37.66/5.14 fof(f2061,plain,(
% 37.66/5.14 empty_carrier(sk0_19)|~latt_str(sk0_19)|k2_lattice3(sk0_19)=relation_of_lattice(sk0_19)),
% 37.66/5.14 inference(resolution,[status(thm)],[f304,f352])).
% 37.66/5.14 fof(f2062,plain,(
% 37.66/5.14 spl0_2|~spl0_3|spl0_194),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2061,f369,f372,f2058])).
% 37.66/5.14 fof(f2064,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_21),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1605])).
% 37.66/5.14 fof(f2066,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_20),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1561])).
% 37.66/5.14 fof(f2069,plain,(
% 37.66/5.14 element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),k2_lattice3(sk0_19))|~spl0_194|~spl0_103),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1587])).
% 37.66/5.14 fof(f2072,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),k2_lattice3(sk0_19))|~spl0_194|~spl0_104)),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1575])).
% 37.66/5.14 fof(f2075,plain,(
% 37.66/5.14 element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),k2_lattice3(sk0_19))|~spl0_194|~spl0_102),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1506])).
% 37.66/5.14 fof(f2077,plain,(
% 37.66/5.14 element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),k2_lattice3(sk0_19))|~spl0_194|~spl0_97),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1489])).
% 37.66/5.14 fof(f2079,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_6(the_carrier(sk0_19))),k2_lattice3(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1084])).
% 37.66/5.14 fof(f2081,plain,(
% 37.66/5.14 ~empty(k2_lattice3(sk0_19))|~spl0_194|~spl0_97),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1488])).
% 37.66/5.14 fof(f2083,plain,(
% 37.66/5.14 ![X0,X1]: (~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),k2_lattice3(sk0_19))|~below_refl(sk0_19,X0,X1)|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2059,f1078])).
% 37.66/5.14 fof(f2085,plain,(
% 37.66/5.14 spl0_195 <=> relation(k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2088,plain,(
% 37.66/5.14 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|relation(k2_lattice3(sk0_19))|~spl0_194),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2059,f153])).
% 37.66/5.14 fof(f2089,plain,(
% 37.66/5.14 spl0_2|~spl0_59|~spl0_3|spl0_195|~spl0_194),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2088,f369,f724,f372,f2085,f2058])).
% 37.66/5.14 fof(f2090,plain,(
% 37.66/5.14 spl0_196 <=> ~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),k2_lattice3(sk0_19))|below_refl(sk0_19,X0,X1)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2091,plain,(
% 37.66/5.14 ![X0,X1]: (~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),k2_lattice3(sk0_19))|below_refl(sk0_19,X0,X1)|~spl0_196)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2090])).
% 37.66/5.14 fof(f2093,plain,(
% 37.66/5.14 ![X0,X1]: (empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),k2_lattice3(sk0_19))|below_refl(sk0_19,X0,X1)|~spl0_194)),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2059,f331])).
% 37.66/5.14 fof(f2094,plain,(
% 37.66/5.14 spl0_2|~spl0_59|~spl0_3|spl0_196|~spl0_194),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2093,f369,f724,f372,f2090,f2058])).
% 37.66/5.14 fof(f2095,plain,(
% 37.66/5.14 spl0_197 <=> relation(k2_lattice3(sk0_18))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2098,plain,(
% 37.66/5.14 empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|relation(k2_lattice3(sk0_18))|~spl0_193),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2054,f153])).
% 37.66/5.14 fof(f2099,plain,(
% 37.66/5.14 spl0_14|~spl0_49|~spl0_17|spl0_197|~spl0_193),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2098,f429,f625,f438,f2095,f2053])).
% 37.66/5.14 fof(f2100,plain,(
% 37.66/5.14 spl0_198 <=> ~element(X0,the_carrier(sk0_18))|~element(X1,the_carrier(sk0_18))|~in(ordered_pair_as_product_element(the_carrier(sk0_18),the_carrier(sk0_18),X0,X1),k2_lattice3(sk0_18))|below_refl(sk0_18,X0,X1)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2103,plain,(
% 37.66/5.14 ![X0,X1]: (empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|~element(X0,the_carrier(sk0_18))|~element(X1,the_carrier(sk0_18))|~in(ordered_pair_as_product_element(the_carrier(sk0_18),the_carrier(sk0_18),X0,X1),k2_lattice3(sk0_18))|below_refl(sk0_18,X0,X1)|~spl0_193)),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2054,f331])).
% 37.66/5.14 fof(f2104,plain,(
% 37.66/5.14 spl0_14|~spl0_49|~spl0_17|spl0_198|~spl0_193),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2103,f429,f625,f438,f2100,f2053])).
% 37.66/5.14 fof(f2105,plain,(
% 37.66/5.14 spl0_199 <=> ~in(X0,sk0_6(sk0_9(sk0_9(sk0_9(powerset(empty_set))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2106,plain,(
% 37.66/5.14 ![X0]: (~in(X0,sk0_6(sk0_9(sk0_9(sk0_9(powerset(empty_set))))))|~spl0_199)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2105])).
% 37.66/5.14 fof(f2108,plain,(
% 37.66/5.14 ![X0]: (empty(powerset(empty_set))|~in(X0,sk0_6(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f1197])).
% 37.66/5.14 fof(f2109,plain,(
% 37.66/5.14 spl0_113|spl0_199),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2108,f1216,f2105])).
% 37.66/5.14 fof(f2116,plain,(
% 37.66/5.14 spl0_200 <=> in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2119,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_31),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f520])).
% 37.66/5.14 fof(f2120,plain,(
% 37.66/5.14 spl0_125|spl0_200|~spl0_31),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2119,f1346,f2116,f519])).
% 37.66/5.14 fof(f2121,plain,(
% 37.66/5.14 spl0_201 <=> element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2122,plain,(
% 37.66/5.14 element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_201),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2121])).
% 37.66/5.14 fof(f2124,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_21),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f465])).
% 37.66/5.14 fof(f2125,plain,(
% 37.66/5.14 spl0_125|spl0_201|~spl0_21),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2124,f1346,f2121,f464])).
% 37.66/5.14 fof(f2126,plain,(
% 37.66/5.14 spl0_202 <=> cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))=sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2127,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))=sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))|~spl0_202),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2126])).
% 37.66/5.14 fof(f2129,plain,(
% 37.66/5.14 empty(the_carrier(sk0_18))|cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))=sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))|~spl0_22),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f470])).
% 37.66/5.14 fof(f2130,plain,(
% 37.66/5.14 spl0_125|spl0_202|~spl0_22),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2129,f1346,f2126,f469])).
% 37.66/5.14 fof(f2131,plain,(
% 37.66/5.14 spl0_203 <=> in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19)))))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2132,plain,(
% 37.66/5.14 in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19)))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_203),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2131])).
% 37.66/5.14 fof(f2134,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|in(cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19)))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_32),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f525])).
% 37.66/5.14 fof(f2135,plain,(
% 37.66/5.14 spl0_34|spl0_203|~spl0_32),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2134,f534,f2131,f524])).
% 37.66/5.14 fof(f2136,plain,(
% 37.66/5.14 spl0_204 <=> cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))=sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2137,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))=sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19)))))|~spl0_204),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2136])).
% 37.66/5.14 fof(f2139,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|cast_to_el_of_LattPOSet(sk0_19,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))=sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19)))))|~spl0_4),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f376])).
% 37.66/5.14 fof(f2140,plain,(
% 37.66/5.14 spl0_34|spl0_204|~spl0_4),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2139,f534,f2136,f375])).
% 37.66/5.14 fof(f2141,plain,(
% 37.66/5.14 spl0_205 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2144,plain,(
% 37.66/5.14 spl0_206 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2147,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f1042])).
% 37.66/5.14 fof(f2148,plain,(
% 37.66/5.14 spl0_27|~spl0_205|spl0_206|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2147,f502,f2141,f2144,f983])).
% 37.66/5.14 fof(f2149,plain,(
% 37.66/5.14 spl0_207 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2152,plain,(
% 37.66/5.14 ![X0]: (empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|~spl0_82)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f984])).
% 37.66/5.14 fof(f2153,plain,(
% 37.66/5.14 spl0_27|spl0_207|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2152,f502,f2149,f983])).
% 37.66/5.14 fof(f2154,plain,(
% 37.66/5.14 spl0_208 <=> in(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2155,plain,(
% 37.66/5.14 in(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_208),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2154])).
% 37.66/5.14 fof(f2157,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f666])).
% 37.66/5.14 fof(f2158,plain,(
% 37.66/5.14 spl0_27|spl0_208|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2157,f502,f2154,f665])).
% 37.66/5.14 fof(f2159,plain,(
% 37.66/5.14 spl0_209 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2160,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|~spl0_209),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2159])).
% 37.66/5.14 fof(f2164,plain,(
% 37.66/5.14 ![X0]: (empty(X0)|empty(X0)|in(sk0_6(sk0_9(sk0_9(sk0_9(X0)))),X0))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1911,f328])).
% 37.66/5.14 fof(f2165,plain,(
% 37.66/5.14 ![X0]: (empty(X0)|in(sk0_6(sk0_9(sk0_9(sk0_9(X0)))),X0))),
% 37.66/5.14 inference(duplicate_literals_removal,[status(esa)],[f2164])).
% 37.66/5.14 fof(f2166,plain,(
% 37.66/5.14 in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_204|~spl0_203),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2137,f2132])).
% 37.66/5.14 fof(f2167,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_202|~spl0_201),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f2127,f2122])).
% 37.66/5.14 fof(f2178,plain,(
% 37.66/5.14 empty(sk0_6(sk0_9(sk0_9(sk0_9(powerset(empty_set))))))|~spl0_199),
% 37.66/5.14 inference(resolution,[status(thm)],[f2106,f2165])).
% 37.66/5.14 fof(f2184,plain,(
% 37.66/5.14 sk0_6(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))=empty_set|~spl0_199),
% 37.66/5.14 inference(resolution,[status(thm)],[f2178,f344])).
% 37.66/5.14 fof(f2204,plain,(
% 37.66/5.14 spl0_210 <=> element(empty_set,sk0_9(sk0_9(powerset(empty_set))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2207,plain,(
% 37.66/5.14 element(empty_set,sk0_9(sk0_9(powerset(empty_set))))|empty(sk0_9(sk0_9(powerset(empty_set))))|~spl0_199),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2184,f1298])).
% 37.66/5.14 fof(f2208,plain,(
% 37.66/5.14 spl0_210|spl0_186|~spl0_199),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2207,f2204,f1940,f2105])).
% 37.66/5.14 fof(f2209,plain,(
% 37.66/5.14 spl0_211 <=> empty(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2210,plain,(
% 37.66/5.14 empty(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))|~spl0_211),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2209])).
% 37.66/5.14 fof(f2212,plain,(
% 37.66/5.14 spl0_212 <=> in(sk0_9(sk0_9(sk0_9(powerset(empty_set)))),empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2215,plain,(
% 37.66/5.14 empty(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))|~in(sk0_9(sk0_9(sk0_9(powerset(empty_set)))),empty_set)|~spl0_199),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2184,f756])).
% 37.66/5.14 fof(f2216,plain,(
% 37.66/5.14 spl0_211|~spl0_212|~spl0_199),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2215,f2209,f2212,f2105])).
% 37.66/5.14 fof(f2217,plain,(
% 37.66/5.14 spl0_213 <=> in(empty_set,sk0_9(sk0_9(sk0_9(powerset(empty_set)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2220,plain,(
% 37.66/5.14 empty(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))|in(empty_set,sk0_9(sk0_9(sk0_9(powerset(empty_set)))))|~spl0_199),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2184,f518])).
% 37.66/5.14 fof(f2221,plain,(
% 37.66/5.14 spl0_211|spl0_213|~spl0_199),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2220,f2209,f2217,f2105])).
% 37.66/5.14 fof(f2222,plain,(
% 37.66/5.14 element(empty_set,sk0_9(sk0_9(sk0_9(powerset(empty_set)))))|~spl0_199),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2184,f188])).
% 37.66/5.14 fof(f2223,plain,(
% 37.66/5.14 empty(sk0_9(sk0_9(powerset(empty_set))))|~spl0_211),
% 37.66/5.14 inference(resolution,[status(thm)],[f2210,f259])).
% 37.66/5.14 fof(f2224,plain,(
% 37.66/5.14 spl0_186|~spl0_211),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2223,f1940,f2209])).
% 37.66/5.14 fof(f2267,plain,(
% 37.66/5.14 spl0_214 <=> function(the_L_join(sk0_14))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2269,plain,(
% 37.66/5.14 ~function(the_L_join(sk0_14))|spl0_214),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2267])).
% 37.66/5.14 fof(f2276,plain,(
% 37.66/5.14 spl0_217 <=> function(the_L_meet(sk0_14))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2278,plain,(
% 37.66/5.14 ~function(the_L_meet(sk0_14))|spl0_217),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2276])).
% 37.66/5.14 fof(f2287,plain,(
% 37.66/5.14 spl0_220 <=> function(the_L_join(sk0_17))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2289,plain,(
% 37.66/5.14 ~function(the_L_join(sk0_17))|spl0_220),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2287])).
% 37.66/5.14 fof(f2296,plain,(
% 37.66/5.14 spl0_223 <=> function(the_L_meet(sk0_17))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2298,plain,(
% 37.66/5.14 ~function(the_L_meet(sk0_17))|spl0_223),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2296])).
% 37.66/5.14 fof(f2308,plain,(
% 37.66/5.14 spl0_226 <=> function(the_L_join(sk0_18))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2310,plain,(
% 37.66/5.14 ~function(the_L_join(sk0_18))|spl0_226),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2308])).
% 37.66/5.14 fof(f2317,plain,(
% 37.66/5.14 spl0_229 <=> function(the_L_meet(sk0_18))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2319,plain,(
% 37.66/5.14 ~function(the_L_meet(sk0_18))|spl0_229),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2317])).
% 37.66/5.14 fof(f2363,plain,(
% 37.66/5.14 spl0_232 <=> empty(k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2364,plain,(
% 37.66/5.14 empty(k2_lattice3(sk0_19))|~spl0_232),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2363])).
% 37.66/5.14 fof(f2366,plain,(
% 37.66/5.14 spl0_233 <=> in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2369,plain,(
% 37.66/5.14 empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),k2_lattice3(sk0_19))|~spl0_194|~spl0_102),
% 37.66/5.14 inference(resolution,[status(thm)],[f2075,f328])).
% 37.66/5.14 fof(f2370,plain,(
% 37.66/5.14 spl0_232|spl0_233|~spl0_194|~spl0_102),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2369,f2363,f2366,f2058,f1115])).
% 37.66/5.14 fof(f2371,plain,(
% 37.66/5.14 $false|~spl0_194|~spl0_97|~spl0_232),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f2364,f2081])).
% 37.66/5.14 fof(f2372,plain,(
% 37.66/5.14 ~spl0_194|~spl0_97|~spl0_232),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2371])).
% 37.66/5.14 fof(f2373,plain,(
% 37.66/5.14 spl0_234 <=> ~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~below_refl(sk0_19,X0,X1)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2374,plain,(
% 37.66/5.14 ![X0,X1]: (~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~below_refl(sk0_19,X0,X1)|~spl0_234)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2373])).
% 37.66/5.14 fof(f2378,plain,(
% 37.66/5.14 ![X0,X1]: (~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~below_refl(sk0_19,X0,X1)|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2083,f326])).
% 37.66/5.14 fof(f2380,plain,(
% 37.66/5.14 spl0_235 <=> in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2383,plain,(
% 37.66/5.14 empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),k2_lattice3(sk0_19))|~spl0_194|~spl0_97),
% 37.66/5.14 inference(resolution,[status(thm)],[f2077,f328])).
% 37.66/5.14 fof(f2384,plain,(
% 37.66/5.14 spl0_232|spl0_235|~spl0_194|~spl0_97),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2383,f2363,f2380,f2058,f1090])).
% 37.66/5.14 fof(f2390,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_204|~spl0_203),
% 37.66/5.14 inference(resolution,[status(thm)],[f2166,f326])).
% 37.66/5.14 fof(f2392,plain,(
% 37.66/5.14 spl0_236 <=> in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2395,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_19)))|in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_204|~spl0_203),
% 37.66/5.14 inference(resolution,[status(thm)],[f2390,f328])).
% 37.66/5.14 fof(f2396,plain,(
% 37.66/5.14 spl0_29|spl0_236|~spl0_204|~spl0_203),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2395,f510,f2392,f2136,f2131])).
% 37.66/5.14 fof(f2397,plain,(
% 37.66/5.14 spl0_237 <=> ~element(X0,the_carrier(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2400,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X0),k2_lattice3(sk0_19))|~spl0_194|~spl0_104)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2072,f328])).
% 37.66/5.14 fof(f2401,plain,(
% 37.66/5.14 spl0_237|spl0_232|~spl0_194|~spl0_104),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2400,f2397,f2363,f2058,f1137])).
% 37.66/5.14 fof(f2414,plain,(
% 37.66/5.14 spl0_238 <=> in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2417,plain,(
% 37.66/5.14 empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),k2_lattice3(sk0_19))|~spl0_194|~spl0_103),
% 37.66/5.14 inference(resolution,[status(thm)],[f2069,f328])).
% 37.66/5.14 fof(f2418,plain,(
% 37.66/5.14 spl0_232|spl0_238|~spl0_194|~spl0_103),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2417,f2363,f2414,f2058,f1122])).
% 37.66/5.14 fof(f2421,plain,(
% 37.66/5.14 spl0_239 <=> element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2422,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(sk0_19))|~spl0_239),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2421])).
% 37.66/5.14 fof(f2423,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(sk0_19))|spl0_239),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2421])).
% 37.66/5.14 fof(f2424,plain,(
% 37.66/5.14 spl0_240 <=> element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2427,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(sk0_19))|element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(poset_of_lattice(sk0_19)))|~spl0_5|~spl0_204),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2137,f389])).
% 37.66/5.14 fof(f2428,plain,(
% 37.66/5.14 ~spl0_239|spl0_240|~spl0_5|~spl0_204),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2427,f2421,f2424,f388,f2136])).
% 37.66/5.14 fof(f2429,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|spl0_239),
% 37.66/5.14 inference(resolution,[status(thm)],[f2423,f1911])).
% 37.66/5.14 fof(f2430,plain,(
% 37.66/5.14 spl0_34|spl0_239),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2429,f534,f2421])).
% 37.66/5.14 fof(f2432,plain,(
% 37.66/5.14 spl0_241 <=> in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2435,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),the_carrier(sk0_19))|~spl0_239),
% 37.66/5.14 inference(resolution,[status(thm)],[f2422,f328])).
% 37.66/5.14 fof(f2436,plain,(
% 37.66/5.14 spl0_34|spl0_241|~spl0_239),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2435,f534,f2432,f2421])).
% 37.66/5.14 fof(f2438,plain,(
% 37.66/5.14 spl0_242 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_21),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2441,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_21)|empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_21),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2064,f328])).
% 37.66/5.14 fof(f2442,plain,(
% 37.66/5.14 spl0_242|spl0_232|~spl0_194|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2441,f2438,f2363,f2058,f1077])).
% 37.66/5.14 fof(f2443,plain,(
% 37.66/5.14 spl0_243 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_20),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2446,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_20)|empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_20),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2066,f328])).
% 37.66/5.14 fof(f2447,plain,(
% 37.66/5.14 spl0_243|spl0_232|~spl0_194|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2446,f2443,f2363,f2058,f1077])).
% 37.66/5.14 fof(f2459,plain,(
% 37.66/5.14 spl0_244 <=> ~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~below_refl(sk0_19,X0,X1)|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2462,plain,(
% 37.66/5.14 ![X0,X1]: (~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~below_refl(sk0_19,X0,X1)|empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2378,f328])).
% 37.66/5.14 fof(f2463,plain,(
% 37.66/5.14 spl0_244|spl0_232|~spl0_194|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2462,f2459,f2363,f2058,f1077])).
% 37.66/5.14 fof(f2464,plain,(
% 37.66/5.14 spl0_245 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|~element(X0,the_carrier(sk0_19))|below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2467,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|~element(X0,the_carrier(sk0_19))|~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|~spl0_194|~spl0_95|~spl0_196)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2079,f2091])).
% 37.66/5.14 fof(f2468,plain,(
% 37.66/5.14 spl0_245|~spl0_23|~spl0_194|~spl0_95|~spl0_196),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2467,f2464,f481,f2058,f1077,f2090])).
% 37.66/5.14 fof(f2469,plain,(
% 37.66/5.14 spl0_246 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2470,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|~spl0_246)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2469])).
% 37.66/5.14 fof(f2474,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|element(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_6(the_carrier(sk0_19))),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2079,f326])).
% 37.66/5.14 fof(f2476,plain,(
% 37.66/5.14 spl0_247 <=> ~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_6(the_carrier(sk0_19))),k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2479,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~below_refl(sk0_19,X0,sk0_6(the_carrier(sk0_19)))|empty(k2_lattice3(sk0_19))|in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,sk0_6(the_carrier(sk0_19))),k2_lattice3(sk0_19))|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2474,f328])).
% 37.66/5.14 fof(f2480,plain,(
% 37.66/5.14 spl0_247|spl0_232|~spl0_194|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2479,f2476,f2363,f2058,f1077])).
% 37.66/5.14 fof(f2483,plain,(
% 37.66/5.14 spl0_248 <=> in(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2486,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_183),
% 37.66/5.14 inference(resolution,[status(thm)],[f1875,f328])).
% 37.66/5.14 fof(f2487,plain,(
% 37.66/5.14 spl0_27|spl0_248|~spl0_183),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2486,f502,f2483,f1874])).
% 37.66/5.14 fof(f2488,plain,(
% 37.66/5.14 spl0_249 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2491,plain,(
% 37.66/5.14 spl0_250 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2494,plain,(
% 37.66/5.14 ~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_202|~spl0_201|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f2167,f1042])).
% 37.66/5.14 fof(f2495,plain,(
% 37.66/5.14 ~spl0_249|spl0_250|~spl0_202|~spl0_201|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2494,f2488,f2491,f2126,f2121,f983])).
% 37.66/5.14 fof(f2497,plain,(
% 37.66/5.14 in(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_202|~spl0_201|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f2167,f666])).
% 37.66/5.14 fof(f2498,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))|~spl0_202|~spl0_201|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f2167,f998])).
% 37.66/5.14 fof(f2499,plain,(
% 37.66/5.14 spl0_251 <=> in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2502,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_202|~spl0_201),
% 37.66/5.14 inference(resolution,[status(thm)],[f2167,f328])).
% 37.66/5.14 fof(f2503,plain,(
% 37.66/5.14 spl0_27|spl0_251|~spl0_202|~spl0_201),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2502,f502,f2499,f2126,f2121])).
% 37.66/5.14 fof(f2510,plain,(
% 37.66/5.14 spl0_252 <=> element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2512,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|spl0_252),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2510])).
% 37.66/5.14 fof(f2513,plain,(
% 37.66/5.14 spl0_253 <=> in(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2516,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_202|~spl0_201|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f2498,f123])).
% 37.66/5.14 fof(f2517,plain,(
% 37.66/5.14 ~spl0_77|~spl0_252|spl0_253|~spl0_202|~spl0_201|~spl0_84),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2516,f949,f2510,f2513,f2126,f2121,f993])).
% 37.66/5.14 fof(f2518,plain,(
% 37.66/5.14 spl0_254 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2519,plain,(
% 37.66/5.14 related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))|~spl0_254),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2518])).
% 37.66/5.14 fof(f2521,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))|~spl0_202|~spl0_201|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f2498,f316])).
% 37.66/5.14 fof(f2522,plain,(
% 37.66/5.14 spl0_66|~spl0_80|~spl0_77|~spl0_252|spl0_254|~spl0_202|~spl0_201|~spl0_84),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2521,f788,f973,f949,f2510,f2518,f2126,f2121,f993])).
% 37.66/5.14 fof(f2523,plain,(
% 37.66/5.14 $false|~spl0_202|~spl0_201|spl0_252),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f2512,f2167])).
% 37.66/5.14 fof(f2524,plain,(
% 37.66/5.14 ~spl0_202|~spl0_201|spl0_252),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2523])).
% 37.66/5.14 fof(f2525,plain,(
% 37.66/5.14 spl0_255 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2528,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))|empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|~spl0_254),
% 37.66/5.14 inference(resolution,[status(thm)],[f2519,f570])).
% 37.66/5.14 fof(f2529,plain,(
% 37.66/5.14 ~spl0_252|spl0_255|spl0_14|~spl0_49|~spl0_17|~spl0_254),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2528,f2510,f2525,f429,f625,f438,f2518])).
% 37.66/5.14 fof(f2530,plain,(
% 37.66/5.14 spl0_256 <=> element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2531,plain,(
% 37.66/5.14 element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_256),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2530])).
% 37.66/5.14 fof(f2532,plain,(
% 37.66/5.14 ~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|spl0_256),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2530])).
% 37.66/5.14 fof(f2535,plain,(
% 37.66/5.14 spl0_257 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2538,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|~spl0_209),
% 37.66/5.14 inference(resolution,[status(thm)],[f2160,f316])).
% 37.66/5.14 fof(f2539,plain,(
% 37.66/5.14 spl0_66|~spl0_80|~spl0_77|~spl0_256|spl0_257|~spl0_209),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2538,f788,f973,f949,f2530,f2535,f2159])).
% 37.66/5.14 fof(f2540,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|spl0_256),
% 37.66/5.14 inference(resolution,[status(thm)],[f2532,f1911])).
% 37.66/5.14 fof(f2541,plain,(
% 37.66/5.14 spl0_27|spl0_256),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2540,f502,f2530])).
% 37.66/5.14 fof(f2544,plain,(
% 37.66/5.14 spl0_258 <=> in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2547,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_256),
% 37.66/5.14 inference(resolution,[status(thm)],[f2531,f328])).
% 37.66/5.14 fof(f2548,plain,(
% 37.66/5.14 spl0_27|spl0_258|~spl0_256),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2547,f502,f2544,f2530])).
% 37.66/5.14 fof(f2552,plain,(
% 37.66/5.14 element(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_202|~spl0_201|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f2497,f326])).
% 37.66/5.14 fof(f2556,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|~spl0_208),
% 37.66/5.14 inference(resolution,[status(thm)],[f2155,f124])).
% 37.66/5.14 fof(f2557,plain,(
% 37.66/5.14 ~spl0_77|~spl0_256|spl0_209|~spl0_208),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2556,f949,f2530,f2159,f2154])).
% 37.66/5.14 fof(f2558,plain,(
% 37.66/5.14 element(ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_208),
% 37.66/5.14 inference(resolution,[status(thm)],[f2155,f326])).
% 37.66/5.14 fof(f2602,plain,(
% 37.66/5.14 spl0_261 <=> empty(sk0_6(powerset(the_carrier(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2603,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(sk0_18))))|~spl0_261),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2602])).
% 37.66/5.14 fof(f2605,plain,(
% 37.66/5.14 spl0_262 <=> in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2606,plain,(
% 37.66/5.14 in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_262),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2605])).
% 37.66/5.14 fof(f2608,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(sk0_18))))|in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_31),
% 37.66/5.14 inference(resolution,[status(thm)],[f1295,f520])).
% 37.66/5.14 fof(f2609,plain,(
% 37.66/5.14 spl0_261|spl0_262|~spl0_31),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2608,f2602,f2605,f519])).
% 37.66/5.14 fof(f2610,plain,(
% 37.66/5.14 spl0_263 <=> element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2611,plain,(
% 37.66/5.14 element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_263),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2610])).
% 37.66/5.14 fof(f2612,plain,(
% 37.66/5.14 ~element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|spl0_263),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2610])).
% 37.66/5.14 fof(f2613,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(sk0_18))))|element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),the_carrier(poset_of_lattice(sk0_18)))|~spl0_21),
% 37.66/5.14 inference(resolution,[status(thm)],[f1295,f465])).
% 37.66/5.14 fof(f2614,plain,(
% 37.66/5.14 spl0_261|spl0_263|~spl0_21),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2613,f2602,f2610,f464])).
% 37.66/5.14 fof(f2615,plain,(
% 37.66/5.14 spl0_264 <=> cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18)))))=sk0_6(sk0_6(powerset(the_carrier(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2616,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18)))))=sk0_6(sk0_6(powerset(the_carrier(sk0_18))))|~spl0_264),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2615])).
% 37.66/5.14 fof(f2618,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(sk0_18))))|cast_to_el_of_LattPOSet(sk0_18,sk0_6(sk0_6(powerset(the_carrier(sk0_18)))))=sk0_6(sk0_6(powerset(the_carrier(sk0_18))))|~spl0_22),
% 37.66/5.14 inference(resolution,[status(thm)],[f1295,f470])).
% 37.66/5.14 fof(f2619,plain,(
% 37.66/5.14 spl0_261|spl0_264|~spl0_22),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2618,f2602,f2615,f469])).
% 37.66/5.14 fof(f2633,plain,(
% 37.66/5.14 spl0_268 <=> empty(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2634,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))|~spl0_268),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2633])).
% 37.66/5.14 fof(f2636,plain,(
% 37.66/5.14 spl0_269 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2639,plain,(
% 37.66/5.14 spl0_270 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2642,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))|~related_reflexive(poset_of_lattice(sk0_18),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f1295,f1042])).
% 37.66/5.14 fof(f2643,plain,(
% 37.66/5.14 spl0_268|~spl0_269|spl0_270|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2642,f2633,f2636,f2639,f983])).
% 37.66/5.14 fof(f2644,plain,(
% 37.66/5.14 spl0_271 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2647,plain,(
% 37.66/5.14 ![X0]: (empty(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))|~element(X0,the_carrier(poset_of_lattice(sk0_18)))|~related_reflexive(poset_of_lattice(sk0_18),X0,sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))|related(poset_of_lattice(sk0_18),X0,sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_82)),
% 37.66/5.14 inference(resolution,[status(thm)],[f1295,f984])).
% 37.66/5.14 fof(f2648,plain,(
% 37.66/5.14 spl0_268|spl0_271|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2647,f2633,f2644,f983])).
% 37.66/5.14 fof(f2649,plain,(
% 37.66/5.14 spl0_272 <=> in(ordered_pair(sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2652,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))|in(ordered_pair(sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_53),
% 37.66/5.14 inference(resolution,[status(thm)],[f1295,f666])).
% 37.66/5.14 fof(f2653,plain,(
% 37.66/5.14 spl0_268|spl0_272|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2652,f2633,f2649,f665])).
% 37.66/5.14 fof(f2654,plain,(
% 37.66/5.14 spl0_273 <=> related(poset_of_lattice(sk0_18),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2655,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_273),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2654])).
% 37.66/5.14 fof(f2657,plain,(
% 37.66/5.14 empty(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18)))))|related(poset_of_lattice(sk0_18),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_84),
% 37.66/5.14 inference(resolution,[status(thm)],[f1295,f998])).
% 37.66/5.14 fof(f2658,plain,(
% 37.66/5.14 spl0_268|spl0_273|~spl0_84),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2657,f2633,f2654,f993])).
% 37.66/5.14 fof(f2670,plain,(
% 37.66/5.14 sk0_6(powerset(the_carrier(sk0_18)))=empty_set|~spl0_261),
% 37.66/5.14 inference(resolution,[status(thm)],[f2603,f344])).
% 37.66/5.14 fof(f2687,plain,(
% 37.66/5.14 spl0_277 <=> empty(powerset(the_carrier(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2688,plain,(
% 37.66/5.14 empty(powerset(the_carrier(sk0_18)))|~spl0_277),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2687])).
% 37.66/5.14 fof(f2690,plain,(
% 37.66/5.14 spl0_278 <=> in(powerset(the_carrier(sk0_18)),empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2693,plain,(
% 37.66/5.14 empty(powerset(the_carrier(sk0_18)))|~in(powerset(the_carrier(sk0_18)),empty_set)|~spl0_261),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2670,f756])).
% 37.66/5.14 fof(f2694,plain,(
% 37.66/5.14 spl0_277|~spl0_278|~spl0_261),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2693,f2687,f2690,f2602])).
% 37.66/5.14 fof(f2695,plain,(
% 37.66/5.14 spl0_279 <=> in(empty_set,powerset(the_carrier(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2698,plain,(
% 37.66/5.14 empty(powerset(the_carrier(sk0_18)))|in(empty_set,powerset(the_carrier(sk0_18)))|~spl0_261),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2670,f518])).
% 37.66/5.14 fof(f2699,plain,(
% 37.66/5.14 spl0_277|spl0_279|~spl0_261),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2698,f2687,f2695,f2602])).
% 37.66/5.14 fof(f2701,plain,(
% 37.66/5.14 $false|~spl0_277),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f2688,f196])).
% 37.66/5.14 fof(f2702,plain,(
% 37.66/5.14 ~spl0_277),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2701])).
% 37.66/5.14 fof(f2710,plain,(
% 37.66/5.14 spl0_281 <=> empty(powerset(the_carrier(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2711,plain,(
% 37.66/5.14 empty(powerset(the_carrier(sk0_19)))|~spl0_281),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2710])).
% 37.66/5.14 fof(f2724,plain,(
% 37.66/5.14 $false|~spl0_53|~spl0_26|~spl0_85),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f1011,f957])).
% 37.66/5.14 fof(f2725,plain,(
% 37.66/5.14 ~spl0_53|~spl0_26|~spl0_85),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2724])).
% 37.66/5.14 fof(f2726,plain,(
% 37.66/5.14 $false|~spl0_281),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f2711,f196])).
% 37.66/5.14 fof(f2727,plain,(
% 37.66/5.14 ~spl0_281),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2726])).
% 37.66/5.14 fof(f2731,plain,(
% 37.66/5.14 sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))=empty_set|~spl0_268),
% 37.66/5.14 inference(resolution,[status(thm)],[f2634,f344])).
% 37.66/5.14 fof(f2735,plain,(
% 37.66/5.14 spl0_284 <=> element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2737,plain,(
% 37.66/5.14 ~element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|spl0_284),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2735])).
% 37.66/5.14 fof(f2742,plain,(
% 37.66/5.14 spl0_285 <=> empty(powerset(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2743,plain,(
% 37.66/5.14 empty(powerset(the_carrier(poset_of_lattice(sk0_18))))|~spl0_285),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2742])).
% 37.66/5.14 fof(f2745,plain,(
% 37.66/5.14 spl0_286 <=> in(powerset(the_carrier(poset_of_lattice(sk0_18))),empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2748,plain,(
% 37.66/5.14 empty(powerset(the_carrier(poset_of_lattice(sk0_18))))|~in(powerset(the_carrier(poset_of_lattice(sk0_18))),empty_set)|~spl0_268),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2731,f756])).
% 37.66/5.14 fof(f2749,plain,(
% 37.66/5.14 spl0_285|~spl0_286|~spl0_268),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2748,f2742,f2745,f2633])).
% 37.66/5.14 fof(f2750,plain,(
% 37.66/5.14 spl0_287 <=> in(empty_set,powerset(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2753,plain,(
% 37.66/5.14 empty(powerset(the_carrier(poset_of_lattice(sk0_18))))|in(empty_set,powerset(the_carrier(poset_of_lattice(sk0_18))))|~spl0_268),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f2731,f518])).
% 37.66/5.14 fof(f2754,plain,(
% 37.66/5.14 spl0_285|spl0_287|~spl0_268),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2753,f2742,f2750,f2633])).
% 37.66/5.14 fof(f2756,plain,(
% 37.66/5.14 $false|~spl0_285),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f2743,f196])).
% 37.66/5.14 fof(f2757,plain,(
% 37.66/5.14 ~spl0_285),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2756])).
% 37.66/5.14 fof(f2784,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(sk0_6(powerset(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_268|~spl0_273),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2731,f2655])).
% 37.66/5.14 fof(f2785,plain,(
% 37.66/5.14 related(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(empty_set))|~spl0_268|~spl0_273),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2731,f2784])).
% 37.66/5.14 fof(f2791,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set))=sk0_6(sk0_6(powerset(the_carrier(sk0_18))))|~spl0_261|~spl0_264),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2670,f2616])).
% 37.66/5.14 fof(f2792,plain,(
% 37.66/5.14 cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set))=sk0_6(empty_set)|~spl0_261|~spl0_264),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2670,f2791])).
% 37.66/5.14 fof(f2793,plain,(
% 37.66/5.14 element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_261|~spl0_263),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2670,f2611])).
% 37.66/5.14 fof(f2794,plain,(
% 37.66/5.14 element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|~spl0_264|~spl0_261|~spl0_263),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2792,f2793])).
% 37.66/5.14 fof(f2795,plain,(
% 37.66/5.14 in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_261|~spl0_262),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2670,f2606])).
% 37.66/5.14 fof(f2797,plain,(
% 37.66/5.14 in(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21),k2_lattice3(sk0_19))|~spl0_194|~spl0_96),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2059,f1086])).
% 37.66/5.14 fof(f2798,plain,(
% 37.66/5.14 $false|~spl0_63),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f767,f1203])).
% 37.66/5.14 fof(f2799,plain,(
% 37.66/5.14 ~spl0_63),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2798])).
% 37.66/5.14 fof(f2805,plain,(
% 37.66/5.14 ~element(sk0_21,the_carrier(sk0_19))|~element(sk0_21,the_carrier(sk0_19))|~spl0_234|~spl0_134),
% 37.66/5.14 inference(resolution,[status(thm)],[f2374,f1484])).
% 37.66/5.14 fof(f2806,plain,(
% 37.66/5.14 ~spl0_8|~spl0_234|~spl0_134),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2805,f401,f2373,f1483])).
% 37.66/5.14 fof(f2809,plain,(
% 37.66/5.14 spl0_290 <=> ~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2810,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|~element(X0,the_carrier(sk0_19))|~spl0_290)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2809])).
% 37.66/5.14 fof(f2818,plain,(
% 37.66/5.14 ![X0]: (~element(X0,the_carrier(sk0_19))|~spl0_290)),
% 37.66/5.14 inference(duplicate_literals_removal,[status(esa)],[f2810])).
% 37.66/5.14 fof(f2819,plain,(
% 37.66/5.14 $false|~spl0_290),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f355,f2818])).
% 37.66/5.14 fof(f2820,plain,(
% 37.66/5.14 ~spl0_290),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2819])).
% 37.66/5.14 fof(f2836,plain,(
% 37.66/5.14 spl0_291 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2839,plain,(
% 37.66/5.14 spl0_292 <=> related(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2844,plain,(
% 37.66/5.14 spl0_293 <=> in(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2845,plain,(
% 37.66/5.14 in(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|~spl0_293),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2844])).
% 37.66/5.14 fof(f2847,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|~spl0_264|~spl0_261|~spl0_263),
% 37.66/5.14 inference(resolution,[status(thm)],[f2794,f328])).
% 37.66/5.14 fof(f2848,plain,(
% 37.66/5.14 spl0_27|spl0_293|~spl0_264|~spl0_261|~spl0_263),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2847,f502,f2844,f2615,f2602,f2610])).
% 37.66/5.14 fof(f2849,plain,(
% 37.66/5.14 ~element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_261|spl0_263),
% 37.66/5.14 inference(forward_demodulation,[status(thm)],[f2670,f2612])).
% 37.66/5.14 fof(f2852,plain,(
% 37.66/5.14 element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|~spl0_293),
% 37.66/5.14 inference(resolution,[status(thm)],[f2845,f326])).
% 37.66/5.14 fof(f2854,plain,(
% 37.66/5.14 ~related_reflexive(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_293|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f2852,f1042])).
% 37.66/5.14 fof(f2855,plain,(
% 37.66/5.14 ~spl0_291|spl0_292|~spl0_293|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2854,f2836,f2839,f2844,f983])).
% 37.66/5.14 fof(f2858,plain,(
% 37.66/5.14 spl0_294 <=> in(ordered_pair(sk0_6(empty_set),sk0_6(empty_set)),the_InternalRel(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2861,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|in(ordered_pair(sk0_6(empty_set),sk0_6(empty_set)),the_InternalRel(poset_of_lattice(sk0_18)))|~spl0_268|~spl0_273),
% 37.66/5.14 inference(resolution,[status(thm)],[f2785,f123])).
% 37.66/5.14 fof(f2862,plain,(
% 37.66/5.14 ~spl0_77|~spl0_284|spl0_294|~spl0_268|~spl0_273),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2861,f949,f2735,f2858,f2633,f2654])).
% 37.66/5.14 fof(f2863,plain,(
% 37.66/5.14 spl0_295 <=> related_reflexive(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(empty_set))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f2864,plain,(
% 37.66/5.14 related_reflexive(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(empty_set))|~spl0_295),
% 37.66/5.14 inference(component_clause,[status(thm)],[f2863])).
% 37.66/5.14 fof(f2866,plain,(
% 37.66/5.14 empty_carrier(poset_of_lattice(sk0_18))|~reflexive_relstr(poset_of_lattice(sk0_18))|~rel_str(poset_of_lattice(sk0_18))|~element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|related_reflexive(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(empty_set))|~spl0_268|~spl0_273),
% 37.66/5.14 inference(resolution,[status(thm)],[f2785,f316])).
% 37.66/5.14 fof(f2867,plain,(
% 37.66/5.14 spl0_66|~spl0_80|~spl0_77|~spl0_284|spl0_295|~spl0_268|~spl0_273),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2866,f788,f973,f949,f2735,f2863,f2633,f2654])).
% 37.66/5.14 fof(f2868,plain,(
% 37.66/5.14 $false|~spl0_293|spl0_284),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f2737,f2852])).
% 37.66/5.14 fof(f2869,plain,(
% 37.66/5.14 ~spl0_293|spl0_284),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2868])).
% 37.66/5.14 fof(f2912,plain,(
% 37.66/5.14 ~element(sk0_20,the_carrier(sk0_19))|~element(sk0_21,the_carrier(sk0_19))|below_refl(sk0_19,sk0_20,sk0_21)|~spl0_194|~spl0_96|~spl0_196),
% 37.66/5.14 inference(resolution,[status(thm)],[f2797,f2091])).
% 37.66/5.14 fof(f2913,plain,(
% 37.66/5.14 ~spl0_6|~spl0_8|spl0_0|~spl0_194|~spl0_96|~spl0_196),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2912,f393,f401,f361,f2058,f1085,f2090])).
% 37.66/5.14 fof(f2916,plain,(
% 37.66/5.14 $false|~spl0_111|~spl0_4|spl0_1),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f387,f1193])).
% 37.66/5.14 fof(f2917,plain,(
% 37.66/5.14 ~spl0_111|~spl0_4|spl0_1),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f2916])).
% 37.66/5.14 fof(f2918,plain,(
% 37.66/5.14 ~meet_semilatt_str(sk0_18)|spl0_229),
% 37.66/5.14 inference(resolution,[status(thm)],[f2319,f166])).
% 37.66/5.14 fof(f2919,plain,(
% 37.66/5.14 ~latt_str(sk0_18)|spl0_229),
% 37.66/5.14 inference(resolution,[status(thm)],[f2918,f161])).
% 37.66/5.14 fof(f2920,plain,(
% 37.66/5.14 ~spl0_17|spl0_229),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2919,f438,f2317])).
% 37.66/5.14 fof(f2921,plain,(
% 37.66/5.14 ~join_semilatt_str(sk0_18)|spl0_226),
% 37.66/5.14 inference(resolution,[status(thm)],[f2310,f172])).
% 37.66/5.14 fof(f2922,plain,(
% 37.66/5.14 ~latt_str(sk0_18)|spl0_226),
% 37.66/5.14 inference(resolution,[status(thm)],[f2921,f162])).
% 37.66/5.14 fof(f2923,plain,(
% 37.66/5.14 ~spl0_17|spl0_226),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2922,f438,f2308])).
% 37.66/5.14 fof(f2924,plain,(
% 37.66/5.14 ~meet_semilatt_str(sk0_17)|spl0_223),
% 37.66/5.14 inference(resolution,[status(thm)],[f2298,f166])).
% 37.66/5.14 fof(f2925,plain,(
% 37.66/5.14 ~latt_str(sk0_17)|spl0_223),
% 37.66/5.14 inference(resolution,[status(thm)],[f2924,f161])).
% 37.66/5.14 fof(f2926,plain,(
% 37.66/5.14 ~spl0_44|spl0_223),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2925,f601,f2296])).
% 37.66/5.14 fof(f2927,plain,(
% 37.66/5.14 ~join_semilatt_str(sk0_17)|spl0_220),
% 37.66/5.14 inference(resolution,[status(thm)],[f2289,f172])).
% 37.66/5.14 fof(f2928,plain,(
% 37.66/5.14 ~latt_str(sk0_17)|spl0_220),
% 37.66/5.14 inference(resolution,[status(thm)],[f2927,f162])).
% 37.66/5.14 fof(f2929,plain,(
% 37.66/5.14 ~spl0_44|spl0_220),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2928,f601,f2287])).
% 37.66/5.14 fof(f2930,plain,(
% 37.66/5.14 ~meet_semilatt_str(sk0_14)|spl0_217),
% 37.66/5.14 inference(resolution,[status(thm)],[f2278,f166])).
% 37.66/5.14 fof(f2931,plain,(
% 37.66/5.14 ~latt_str(sk0_14)|spl0_217),
% 37.66/5.14 inference(resolution,[status(thm)],[f2930,f161])).
% 37.66/5.14 fof(f2932,plain,(
% 37.66/5.14 ~spl0_42|spl0_217),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2931,f591,f2276])).
% 37.66/5.14 fof(f2933,plain,(
% 37.66/5.14 ~join_semilatt_str(sk0_14)|spl0_214),
% 37.66/5.14 inference(resolution,[status(thm)],[f2269,f172])).
% 37.66/5.14 fof(f2934,plain,(
% 37.66/5.14 ~latt_str(sk0_14)|spl0_214),
% 37.66/5.14 inference(resolution,[status(thm)],[f2933,f162])).
% 37.66/5.14 fof(f2935,plain,(
% 37.66/5.14 ~spl0_42|spl0_214),
% 37.66/5.14 inference(split_clause,[status(thm)],[f2934,f591,f2267])).
% 37.66/5.14 fof(f3080,plain,(
% 37.66/5.14 spl0_308 <=> empty(powerset(powerset(empty_set)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3081,plain,(
% 37.66/5.14 empty(powerset(powerset(empty_set)))|~spl0_308),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3080])).
% 37.66/5.14 fof(f3094,plain,(
% 37.66/5.14 $false|~spl0_308),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f3081,f196])).
% 37.66/5.14 fof(f3095,plain,(
% 37.66/5.14 ~spl0_308),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f3094])).
% 37.66/5.14 fof(f3133,plain,(
% 37.66/5.14 ~element(sk0_20,the_carrier(sk0_19))|~spl0_142|~spl0_135),
% 37.66/5.14 inference(resolution,[status(thm)],[f1554,f1502])).
% 37.66/5.14 fof(f3134,plain,(
% 37.66/5.14 ~spl0_6|~spl0_142|~spl0_135),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3133,f393,f1553,f1501])).
% 37.66/5.14 fof(f3143,plain,(
% 37.66/5.14 ~element(sk0_21,the_carrier(sk0_19))|~spl0_148|~spl0_134),
% 37.66/5.14 inference(resolution,[status(thm)],[f1601,f1484])).
% 37.66/5.14 fof(f3144,plain,(
% 37.66/5.14 ~spl0_8|~spl0_148|~spl0_134),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3143,f401,f1600,f1483])).
% 37.66/5.14 fof(f3155,plain,(
% 37.66/5.14 spl0_313 <=> related(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(empty_set))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3158,plain,(
% 37.66/5.14 ~element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|~element(sk0_6(empty_set),the_carrier(poset_of_lattice(sk0_18)))|related(poset_of_lattice(sk0_18),sk0_6(empty_set),sk0_6(empty_set))|empty_carrier(sk0_18)|~lattice(sk0_18)|~latt_str(sk0_18)|~spl0_295),
% 37.66/5.14 inference(resolution,[status(thm)],[f2864,f570])).
% 37.66/5.14 fof(f3159,plain,(
% 37.66/5.14 ~spl0_284|spl0_313|spl0_14|~spl0_49|~spl0_17|~spl0_295),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3158,f2735,f3155,f429,f625,f438,f2863])).
% 37.66/5.14 fof(f3163,plain,(
% 37.66/5.14 element(cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_261|~spl0_262),
% 37.66/5.14 inference(resolution,[status(thm)],[f2795,f326])).
% 37.66/5.14 fof(f3164,plain,(
% 37.66/5.14 $false|spl0_263|~spl0_261|~spl0_262),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f3163,f2849])).
% 37.66/5.14 fof(f3165,plain,(
% 37.66/5.14 spl0_263|~spl0_261|~spl0_262),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f3164])).
% 37.66/5.14 fof(f3173,plain,(
% 37.66/5.14 spl0_314 <=> related_reflexive(poset_of_lattice(sk0_18),cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3176,plain,(
% 37.66/5.14 spl0_315 <=> related(poset_of_lattice(sk0_18),cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3179,plain,(
% 37.66/5.14 ~related_reflexive(poset_of_lattice(sk0_18),cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|related(poset_of_lattice(sk0_18),cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),sk0_6(the_carrier(poset_of_lattice(sk0_18))))|~spl0_261|~spl0_262|~spl0_82),
% 37.66/5.14 inference(resolution,[status(thm)],[f3163,f1042])).
% 37.66/5.14 fof(f3180,plain,(
% 37.66/5.14 ~spl0_314|spl0_315|~spl0_261|~spl0_262|~spl0_82),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3179,f3173,f3176,f2602,f2605,f983])).
% 37.66/5.14 fof(f3184,plain,(
% 37.66/5.14 spl0_316 <=> in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),the_carrier(poset_of_lattice(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3187,plain,(
% 37.66/5.14 empty(the_carrier(poset_of_lattice(sk0_18)))|in(cast_to_el_of_LattPOSet(sk0_18,sk0_6(empty_set)),the_carrier(poset_of_lattice(sk0_18)))|~spl0_261|~spl0_262),
% 37.66/5.14 inference(resolution,[status(thm)],[f3163,f328])).
% 37.66/5.14 fof(f3188,plain,(
% 37.66/5.14 spl0_27|spl0_316|~spl0_261|~spl0_262),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3187,f502,f3184,f2602,f2605])).
% 37.66/5.14 fof(f3195,plain,(
% 37.66/5.14 spl0_317 <=> empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_18))|k10_filter_1(X0,sk0_18,X1,X2)=ordered_pair(X1,X2)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3198,plain,(
% 37.66/5.14 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(sk0_18)|~latt_str(sk0_18)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_18))|k10_filter_1(X0,sk0_18,X1,X2)=ordered_pair(X1,X2))),
% 37.66/5.14 inference(resolution,[status(thm)],[f300,f298])).
% 37.66/5.14 fof(f3199,plain,(
% 37.66/5.14 spl0_317|spl0_14|~spl0_17),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3198,f3195,f429,f438])).
% 37.66/5.14 fof(f3200,plain,(
% 37.66/5.14 spl0_318 <=> empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_19))|k10_filter_1(X0,sk0_19,X1,X2)=ordered_pair(X1,X2)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3201,plain,(
% 37.66/5.14 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_19))|k10_filter_1(X0,sk0_19,X1,X2)=ordered_pair(X1,X2)|~spl0_318)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3200])).
% 37.66/5.14 fof(f3203,plain,(
% 37.66/5.14 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(sk0_19)|~latt_str(sk0_19)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_19))|k10_filter_1(X0,sk0_19,X1,X2)=ordered_pair(X1,X2))),
% 37.66/5.14 inference(resolution,[status(thm)],[f300,f352])).
% 37.66/5.14 fof(f3204,plain,(
% 37.66/5.14 spl0_318|spl0_2|~spl0_3),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3203,f3200,f369,f372])).
% 37.66/5.14 fof(f3205,plain,(
% 37.66/5.14 spl0_319 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,cast_to_el_of_LattPOSet(sk0_19,X2))=ordered_pair(X1,cast_to_el_of_LattPOSet(sk0_19,X2))|~element(X2,the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3208,plain,(
% 37.66/5.14 ![X0,X1,X2]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,cast_to_el_of_LattPOSet(sk0_19,X2))=ordered_pair(X1,cast_to_el_of_LattPOSet(sk0_19,X2))|~element(X2,the_carrier(sk0_19))|~spl0_5)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f389])).
% 37.66/5.14 fof(f3209,plain,(
% 37.66/5.14 spl0_319|spl0_29|~spl0_5),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3208,f3205,f510,f388])).
% 37.66/5.14 fof(f3214,plain,(
% 37.66/5.14 spl0_320 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3217,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18)))))))|~spl0_202|~spl0_201|~spl0_53)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2552])).
% 37.66/5.14 fof(f3218,plain,(
% 37.66/5.14 spl0_320|spl0_85|~spl0_202|~spl0_201|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3217,f3214,f1010,f2126,f2121,f665])).
% 37.66/5.14 fof(f3219,plain,(
% 37.66/5.14 spl0_321 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3222,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))))|~spl0_208)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2558])).
% 37.66/5.14 fof(f3223,plain,(
% 37.66/5.14 spl0_321|spl0_85|~spl0_208),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3222,f3219,f1010,f2154])).
% 37.66/5.14 fof(f3224,plain,(
% 37.66/5.14 spl0_322 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3227,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18))))))|~spl0_164|~spl0_163|~spl0_53)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1892])).
% 37.66/5.14 fof(f3228,plain,(
% 37.66/5.14 spl0_322|spl0_85|~spl0_164|~spl0_163|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3227,f3224,f1010,f1770,f1765,f665])).
% 37.66/5.14 fof(f3229,plain,(
% 37.66/5.14 spl0_323 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3232,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|~spl0_170)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1888])).
% 37.66/5.14 fof(f3233,plain,(
% 37.66/5.14 spl0_323|spl0_85|~spl0_170),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3232,f3229,f1010,f1798])).
% 37.66/5.14 fof(f3234,plain,(
% 37.66/5.14 spl0_324 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3237,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_6(sk0_9(the_carrier(sk0_18)))))|~spl0_128|~spl0_126|~spl0_53)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1687])).
% 37.66/5.14 fof(f3238,plain,(
% 37.66/5.14 spl0_324|spl0_85|~spl0_128|~spl0_126|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3237,f3234,f1010,f1359,f1349,f665])).
% 37.66/5.14 fof(f3239,plain,(
% 37.66/5.14 spl0_325 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3242,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))=ordered_pair(X1,ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_123)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1680])).
% 37.66/5.14 fof(f3243,plain,(
% 37.66/5.14 spl0_325|spl0_85|~spl0_123),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3242,f3239,f1010,f1336])).
% 37.66/5.14 fof(f3244,plain,(
% 37.66/5.14 spl0_326 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))))=ordered_pair(X1,ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3247,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))))=ordered_pair(X1,ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))))|~spl0_53|~spl0_26)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f958])).
% 37.66/5.14 fof(f3248,plain,(
% 37.66/5.14 spl0_326|spl0_85|~spl0_53|~spl0_26),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3247,f3244,f1010,f665,f495])).
% 37.66/5.14 fof(f3249,plain,(
% 37.66/5.14 spl0_327 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))))=ordered_pair(X1,ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3252,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_18)),X1,ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))))=ordered_pair(X1,ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_18))),sk0_6(the_carrier(poset_of_lattice(sk0_18)))))|~spl0_53)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1037])).
% 37.66/5.14 fof(f3253,plain,(
% 37.66/5.14 spl0_327|spl0_85|~spl0_53),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3252,f3249,f1010,f665])).
% 37.66/5.14 fof(f3254,plain,(
% 37.66/5.14 spl0_328 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_19)),X1,ordered_pair(X2,X2))=ordered_pair(X1,ordered_pair(X2,X2))|~element(X2,the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3257,plain,(
% 37.66/5.14 ![X0,X1,X2]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sk0_19)),X1,ordered_pair(X2,X2))=ordered_pair(X1,ordered_pair(X2,X2))|~element(X2,the_carrier(poset_of_lattice(sk0_19)))|~spl0_55)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f689])).
% 37.66/5.14 fof(f3258,plain,(
% 37.66/5.14 spl0_328|spl0_74|~spl0_55),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3257,f3254,f888,f673])).
% 37.66/5.14 fof(f3259,plain,(
% 37.66/5.14 spl0_329 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3262,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(k2_lattice3(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))))|~spl0_194|~spl0_103)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2069])).
% 37.66/5.14 fof(f3263,plain,(
% 37.66/5.14 spl0_329|spl0_232|~spl0_194|~spl0_103),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3262,f3259,f2363,f2058,f1122])).
% 37.66/5.14 fof(f3264,plain,(
% 37.66/5.14 spl0_330 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3267,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(k2_lattice3(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21))|~spl0_194|~spl0_97)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2077])).
% 37.66/5.14 fof(f3268,plain,(
% 37.66/5.14 spl0_330|spl0_232|~spl0_194|~spl0_97),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3267,f3264,f2363,f2058,f1090])).
% 37.66/5.14 fof(f3269,plain,(
% 37.66/5.14 spl0_331 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3272,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(k2_lattice3(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20))|~spl0_194|~spl0_102)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2075])).
% 37.66/5.14 fof(f3273,plain,(
% 37.66/5.14 spl0_331|spl0_232|~spl0_194|~spl0_102),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3272,f3269,f2363,f2058,f1115])).
% 37.66/5.14 fof(f3274,plain,(
% 37.66/5.14 spl0_332 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X2,X3))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X2,X3))|~element(X2,the_carrier(sk0_19))|~element(X3,the_carrier(sk0_19))|~below_refl(sk0_19,X2,X3)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3277,plain,(
% 37.66/5.14 ![X0,X1,X2,X3]: (empty(X0)|empty(k2_lattice3(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,k2_lattice3(sk0_19),X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X2,X3))=ordered_pair(X1,ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X2,X3))|~element(X2,the_carrier(sk0_19))|~element(X3,the_carrier(sk0_19))|~below_refl(sk0_19,X2,X3)|~spl0_194|~spl0_95)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2378])).
% 37.66/5.14 fof(f3278,plain,(
% 37.66/5.14 spl0_332|spl0_232|~spl0_194|~spl0_95),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3277,f3274,f2363,f2058,f1077])).
% 37.66/5.14 fof(f3287,plain,(
% 37.66/5.14 spl0_334 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,sk0_9(sk0_9(sk0_9(powerset(empty_set)))),X1,empty_set)=ordered_pair(X1,empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3290,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))|~element(X1,X0)|ordered_pair_as_product_element(X0,sk0_9(sk0_9(sk0_9(powerset(empty_set)))),X1,empty_set)=ordered_pair(X1,empty_set)|~spl0_199)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2222])).
% 37.66/5.14 fof(f3291,plain,(
% 37.66/5.14 spl0_334|spl0_211|~spl0_199),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3290,f3287,f2209,f2105])).
% 37.66/5.14 fof(f3292,plain,(
% 37.66/5.14 spl0_335 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,sk0_9(sk0_9(powerset(empty_set))),X1,empty_set)=ordered_pair(X1,empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3295,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(sk0_9(sk0_9(powerset(empty_set))))|~element(X1,X0)|ordered_pair_as_product_element(X0,sk0_9(sk0_9(powerset(empty_set))),X1,empty_set)=ordered_pair(X1,empty_set)|~spl0_161)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1953])).
% 37.66/5.14 fof(f3296,plain,(
% 37.66/5.14 spl0_335|spl0_186|~spl0_161),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3295,f3292,f1940,f1749])).
% 37.66/5.14 fof(f3297,plain,(
% 37.66/5.14 spl0_336 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,sk0_9(powerset(empty_set)),X1,empty_set)=ordered_pair(X1,empty_set)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3300,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(sk0_9(powerset(empty_set)))|~element(X1,X0)|ordered_pair_as_product_element(X0,sk0_9(powerset(empty_set)),X1,empty_set)=ordered_pair(X1,empty_set)|~spl0_116)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1454])).
% 37.66/5.14 fof(f3301,plain,(
% 37.66/5.14 spl0_336|spl0_131|~spl0_116),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3300,f3297,f1441,f1299])).
% 37.66/5.14 fof(f3304,plain,(
% 37.66/5.14 spl0_337 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_21)=ordered_pair(X1,sk0_21)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3305,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_21)=ordered_pair(X1,sk0_21)|~spl0_337)),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3304])).
% 37.66/5.14 fof(f3307,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_21)=ordered_pair(X1,sk0_21))),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f355])).
% 37.66/5.14 fof(f3308,plain,(
% 37.66/5.14 spl0_337|spl0_34),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3307,f3304,f534])).
% 37.66/5.14 fof(f3309,plain,(
% 37.66/5.14 spl0_338 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_21)=ordered_pair(X1,sk0_21)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3312,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_21)=ordered_pair(X1,sk0_21)|~spl0_9)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f405])).
% 37.66/5.14 fof(f3313,plain,(
% 37.66/5.14 spl0_338|spl0_29|~spl0_9),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3312,f3309,f510,f404])).
% 37.66/5.14 fof(f3314,plain,(
% 37.66/5.14 spl0_339 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_20)=ordered_pair(X1,sk0_20)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3317,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_20)=ordered_pair(X1,sk0_20))),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f354])).
% 37.66/5.14 fof(f3318,plain,(
% 37.66/5.14 spl0_339|spl0_34),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3317,f3314,f534])).
% 37.66/5.14 fof(f3319,plain,(
% 37.66/5.14 spl0_340 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_20)=ordered_pair(X1,sk0_20)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3322,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_20)=ordered_pair(X1,sk0_20)|~spl0_7)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f397])).
% 37.66/5.14 fof(f3323,plain,(
% 37.66/5.14 spl0_340|spl0_29|~spl0_7),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3322,f3319,f510,f396])).
% 37.66/5.14 fof(f3340,plain,(
% 37.66/5.14 spl0_344 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3343,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))))|~spl0_256)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2531])).
% 37.66/5.14 fof(f3344,plain,(
% 37.66/5.14 spl0_344|spl0_27|~spl0_256),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3343,f3340,f502,f2530])).
% 37.66/5.14 fof(f3345,plain,(
% 37.66/5.14 spl0_345 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3348,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))))|~spl0_202|~spl0_201)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2167])).
% 37.66/5.14 fof(f3349,plain,(
% 37.66/5.14 spl0_345|spl0_27|~spl0_202|~spl0_201),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3348,f3345,f502,f2126,f2121])).
% 37.66/5.14 fof(f3350,plain,(
% 37.66/5.14 spl0_346 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3353,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))|~spl0_204|~spl0_203)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f2390])).
% 37.66/5.14 fof(f3354,plain,(
% 37.66/5.14 spl0_346|spl0_29|~spl0_204|~spl0_203),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3353,f3350,f510,f2136,f2131])).
% 37.66/5.14 fof(f3357,plain,(
% 37.66/5.14 spl0_347 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3360,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))))|~spl0_183)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1875])).
% 37.66/5.14 fof(f3361,plain,(
% 37.66/5.14 spl0_347|spl0_27|~spl0_183),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3360,f3357,f502,f1874])).
% 37.66/5.14 fof(f3362,plain,(
% 37.66/5.14 spl0_348 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3365,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))|~spl0_176)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1838])).
% 37.66/5.14 fof(f3366,plain,(
% 37.66/5.14 spl0_348|spl0_34|~spl0_176),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3365,f3362,f534,f1837])).
% 37.66/5.14 fof(f3367,plain,(
% 37.66/5.14 spl0_349 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3370,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))))|~spl0_166|~spl0_165)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1813])).
% 37.66/5.14 fof(f3371,plain,(
% 37.66/5.14 spl0_349|spl0_29|~spl0_166|~spl0_165),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3370,f3367,f510,f1780,f1775])).
% 37.66/5.14 fof(f3372,plain,(
% 37.66/5.14 spl0_350 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3375,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))))|~spl0_164|~spl0_163)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1811])).
% 37.66/5.14 fof(f3376,plain,(
% 37.66/5.14 spl0_350|spl0_27|~spl0_164|~spl0_163),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3375,f3372,f502,f1770,f1765])).
% 37.66/5.14 fof(f3379,plain,(
% 37.66/5.14 spl0_351 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3382,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))|~spl0_157)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1676])).
% 37.66/5.14 fof(f3383,plain,(
% 37.66/5.14 spl0_351|spl0_27|~spl0_157),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3382,f3379,f502,f1675])).
% 37.66/5.14 fof(f3384,plain,(
% 37.66/5.14 spl0_352 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(the_carrier(sk0_18))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(sk0_18))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3387,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(sk0_9(the_carrier(sk0_18))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(sk0_18))))|~spl0_128|~spl0_126)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1412])).
% 37.66/5.14 fof(f3388,plain,(
% 37.66/5.14 spl0_352|spl0_27|~spl0_128|~spl0_126),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3387,f3384,f502,f1359,f1349])).
% 37.66/5.14 fof(f3389,plain,(
% 37.66/5.14 spl0_353 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_6(sk0_9(the_carrier(sk0_19))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(sk0_19))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3392,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_6(sk0_9(the_carrier(sk0_19))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(sk0_19))))|~spl0_138)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1527])).
% 37.66/5.14 fof(f3393,plain,(
% 37.66/5.14 spl0_353|spl0_34|~spl0_138),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3392,f3389,f534,f1526])).
% 37.66/5.14 fof(f3394,plain,(
% 37.66/5.14 spl0_354 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(sk0_9(the_carrier(sk0_19))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(sk0_19))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3397,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(sk0_9(the_carrier(sk0_19))))=ordered_pair(X1,sk0_6(sk0_9(the_carrier(sk0_19))))|~spl0_117|~spl0_136)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f1519])).
% 37.66/5.14 fof(f3398,plain,(
% 37.66/5.14 spl0_354|spl0_29|~spl0_117|~spl0_136),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3397,f3394,f510,f1310,f1512])).
% 37.66/5.14 fof(f3401,plain,(
% 37.66/5.14 spl0_355 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(the_carrier(sk0_18)))=ordered_pair(X1,sk0_6(the_carrier(sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3404,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_18)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_18)),X1,sk0_6(the_carrier(sk0_18)))=ordered_pair(X1,sk0_6(the_carrier(sk0_18)))|~spl0_26)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f496])).
% 37.66/5.14 fof(f3405,plain,(
% 37.66/5.14 spl0_355|spl0_27|~spl0_26),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3404,f3401,f502,f495])).
% 37.66/5.14 fof(f3406,plain,(
% 37.66/5.14 spl0_356 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(the_carrier(sk0_19)))=ordered_pair(X1,sk0_6(the_carrier(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3409,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sk0_19)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sk0_19)),X1,sk0_6(the_carrier(sk0_19)))=ordered_pair(X1,sk0_6(the_carrier(sk0_19)))|~spl0_24)),
% 37.66/5.14 inference(resolution,[status(thm)],[f302,f485])).
% 37.66/5.14 fof(f3410,plain,(
% 37.66/5.14 spl0_356|spl0_29|~spl0_24),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3409,f3406,f510,f484])).
% 37.66/5.14 fof(f3439,plain,(
% 37.66/5.14 spl0_357 <=> empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_18))|empty(the_carrier(k8_filter_1(X0,sk0_18)))|in(k10_filter_1(X0,sk0_18,X1,X2),the_carrier(k8_filter_1(X0,sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3442,plain,(
% 37.66/5.14 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(sk0_18)|~latt_str(sk0_18)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_18))|empty(the_carrier(k8_filter_1(X0,sk0_18)))|in(k10_filter_1(X0,sk0_18,X1,X2),the_carrier(k8_filter_1(X0,sk0_18))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f827,f298])).
% 37.66/5.14 fof(f3443,plain,(
% 37.66/5.14 spl0_357|spl0_14|~spl0_17),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3442,f3439,f429,f438])).
% 37.66/5.14 fof(f3444,plain,(
% 37.66/5.14 spl0_358 <=> empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_19))|empty(the_carrier(k8_filter_1(X0,sk0_19)))|in(k10_filter_1(X0,sk0_19,X1,X2),the_carrier(k8_filter_1(X0,sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3447,plain,(
% 37.66/5.14 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(sk0_19)|~latt_str(sk0_19)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sk0_19))|empty(the_carrier(k8_filter_1(X0,sk0_19)))|in(k10_filter_1(X0,sk0_19,X1,X2),the_carrier(k8_filter_1(X0,sk0_19))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f827,f352])).
% 37.66/5.14 fof(f3448,plain,(
% 37.66/5.14 spl0_358|spl0_2|~spl0_3),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3447,f3444,f369,f372])).
% 37.66/5.14 fof(f3452,plain,(
% 37.66/5.14 spl0_359 <=> relation_of2(k2_lattice3(sk0_18),the_carrier(sk0_18),the_carrier(sk0_18))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3455,plain,(
% 37.66/5.14 empty_carrier(sk0_18)|~latt_str(sk0_18)|relation_of2(k2_lattice3(sk0_18),the_carrier(sk0_18),the_carrier(sk0_18))),
% 37.66/5.14 inference(resolution,[status(thm)],[f830,f298])).
% 37.66/5.14 fof(f3456,plain,(
% 37.66/5.14 spl0_14|~spl0_17|spl0_359),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3455,f429,f438,f3452])).
% 37.66/5.14 fof(f3457,plain,(
% 37.66/5.14 spl0_360 <=> relation_of2(k2_lattice3(sk0_19),the_carrier(sk0_19),the_carrier(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3458,plain,(
% 37.66/5.14 relation_of2(k2_lattice3(sk0_19),the_carrier(sk0_19),the_carrier(sk0_19))|~spl0_360),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3457])).
% 37.66/5.14 fof(f3460,plain,(
% 37.66/5.14 empty_carrier(sk0_19)|~latt_str(sk0_19)|relation_of2(k2_lattice3(sk0_19),the_carrier(sk0_19),the_carrier(sk0_19))),
% 37.66/5.14 inference(resolution,[status(thm)],[f830,f352])).
% 37.66/5.14 fof(f3461,plain,(
% 37.66/5.14 spl0_2|~spl0_3|spl0_360),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3460,f369,f372,f3457])).
% 37.66/5.14 fof(f3464,plain,(
% 37.66/5.14 spl0_361 <=> empty_carrier(X0)|~latt_str(X0)|k8_filter_1(X0,sk0_18)=latt_str_of(the_carrier(k8_filter_1(X0,sk0_18)),the_L_join(k8_filter_1(X0,sk0_18)),the_L_meet(k8_filter_1(X0,sk0_18)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3467,plain,(
% 37.66/5.14 ![X0]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(sk0_18)|k8_filter_1(X0,sk0_18)=latt_str_of(the_carrier(k8_filter_1(X0,sk0_18)),the_L_join(k8_filter_1(X0,sk0_18)),the_L_meet(k8_filter_1(X0,sk0_18))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1466,f289])).
% 37.66/5.14 fof(f3468,plain,(
% 37.66/5.14 spl0_361|spl0_14),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3467,f3464,f429])).
% 37.66/5.14 fof(f3469,plain,(
% 37.66/5.14 spl0_362 <=> empty_carrier(X0)|~latt_str(X0)|k8_filter_1(X0,sk0_17)=latt_str_of(the_carrier(k8_filter_1(X0,sk0_17)),the_L_join(k8_filter_1(X0,sk0_17)),the_L_meet(k8_filter_1(X0,sk0_17)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3472,plain,(
% 37.66/5.14 spl0_363 <=> empty_carrier(sk0_17)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3473,plain,(
% 37.66/5.14 empty_carrier(sk0_17)|~spl0_363),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3472])).
% 37.66/5.14 fof(f3475,plain,(
% 37.66/5.14 ![X0]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(sk0_17)|k8_filter_1(X0,sk0_17)=latt_str_of(the_carrier(k8_filter_1(X0,sk0_17)),the_L_join(k8_filter_1(X0,sk0_17)),the_L_meet(k8_filter_1(X0,sk0_17))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1466,f285])).
% 37.66/5.14 fof(f3476,plain,(
% 37.66/5.14 spl0_362|spl0_363),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3475,f3469,f3472])).
% 37.66/5.14 fof(f3493,plain,(
% 37.66/5.14 spl0_368 <=> empty_carrier(X0)|~latt_str(X0)|k8_filter_1(X0,sk0_19)=latt_str_of(the_carrier(k8_filter_1(X0,sk0_19)),the_L_join(k8_filter_1(X0,sk0_19)),the_L_meet(k8_filter_1(X0,sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3496,plain,(
% 37.66/5.14 ![X0]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(sk0_19)|k8_filter_1(X0,sk0_19)=latt_str_of(the_carrier(k8_filter_1(X0,sk0_19)),the_L_join(k8_filter_1(X0,sk0_19)),the_L_meet(k8_filter_1(X0,sk0_19))))),
% 37.66/5.14 inference(resolution,[status(thm)],[f1466,f353])).
% 37.66/5.14 fof(f3497,plain,(
% 37.66/5.14 spl0_368|spl0_2),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3496,f3493,f369])).
% 37.66/5.14 fof(f3498,plain,(
% 37.66/5.14 $false|~spl0_363),
% 37.66/5.14 inference(forward_subsumption_resolution,[status(thm)],[f3473,f286])).
% 37.66/5.14 fof(f3499,plain,(
% 37.66/5.14 ~spl0_363),
% 37.66/5.14 inference(contradiction_clause,[status(thm)],[f3498])).
% 37.66/5.14 fof(f3508,plain,(
% 37.66/5.14 ![X0,X1]: (~rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19))=rel_str_of(X0,X1)|k2_lattice3(sk0_19)=X1|~spl0_360)),
% 37.66/5.14 inference(resolution,[status(thm)],[f3458,f248])).
% 37.66/5.14 fof(f3510,plain,(
% 37.66/5.14 spl0_369 <=> empty_carrier(rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3513,plain,(
% 37.66/5.14 empty(the_carrier(sk0_19))|~empty_carrier(rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19)))|~spl0_360),
% 37.66/5.14 inference(resolution,[status(thm)],[f3458,f192])).
% 37.66/5.14 fof(f3514,plain,(
% 37.66/5.14 spl0_34|~spl0_369|~spl0_360),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3513,f534,f3510,f3457])).
% 37.66/5.14 fof(f3518,plain,(
% 37.66/5.14 spl0_370 <=> empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3521,plain,(
% 37.66/5.14 ![X0,X1]: (empty(X0)|empty(the_carrier(sk0_19))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sk0_19),X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))=ordered_pair(X1,sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))))|~spl0_239)),
% 37.66/5.14 inference(resolution,[status(thm)],[f2422,f302])).
% 37.66/5.14 fof(f3522,plain,(
% 37.66/5.14 spl0_370|spl0_34|~spl0_239),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3521,f3518,f534,f2421])).
% 37.66/5.14 fof(f3525,plain,(
% 37.66/5.14 spl0_371 <=> ~element(X0,the_carrier(sk0_18))|~element(X1,the_carrier(sk0_19))|k10_filter_1(sk0_18,sk0_19,X0,X1)=ordered_pair(X0,X1)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3528,plain,(
% 37.66/5.14 ![X0,X1]: (empty_carrier(sk0_18)|~latt_str(sk0_18)|~element(X0,the_carrier(sk0_18))|~element(X1,the_carrier(sk0_19))|k10_filter_1(sk0_18,sk0_19,X0,X1)=ordered_pair(X0,X1)|~spl0_318)),
% 37.66/5.14 inference(resolution,[status(thm)],[f3201,f298])).
% 37.66/5.14 fof(f3529,plain,(
% 37.66/5.14 spl0_14|~spl0_17|spl0_371|~spl0_318),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3528,f429,f438,f3525,f3200])).
% 37.66/5.14 fof(f3530,plain,(
% 37.66/5.14 spl0_372 <=> ~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|k10_filter_1(sk0_19,sk0_19,X0,X1)=ordered_pair(X0,X1)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3533,plain,(
% 37.66/5.14 ![X0,X1]: (empty_carrier(sk0_19)|~latt_str(sk0_19)|~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|k10_filter_1(sk0_19,sk0_19,X0,X1)=ordered_pair(X0,X1)|~spl0_318)),
% 37.66/5.14 inference(resolution,[status(thm)],[f3201,f352])).
% 37.66/5.14 fof(f3534,plain,(
% 37.66/5.14 spl0_2|~spl0_3|spl0_372|~spl0_318),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3533,f369,f372,f3530,f3200])).
% 37.66/5.14 fof(f3535,plain,(
% 37.66/5.14 ~element(sk0_6(the_carrier(sk0_19)),the_carrier(sk0_19))|~spl0_246|~spl0_146),
% 37.66/5.14 inference(resolution,[status(thm)],[f2470,f1583])).
% 37.66/5.14 fof(f3536,plain,(
% 37.66/5.14 ~spl0_23|~spl0_246|~spl0_146),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3535,f481,f2469,f1582])).
% 37.66/5.14 fof(f3544,plain,(
% 37.66/5.14 spl0_373 <=> rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19))=poset_of_lattice(sk0_18)),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3547,plain,(
% 37.66/5.14 spl0_374 <=> k2_lattice3(sk0_19)=the_InternalRel(poset_of_lattice(sk0_18))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3550,plain,(
% 37.66/5.14 ~rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19))=poset_of_lattice(sk0_18)|k2_lattice3(sk0_19)=the_InternalRel(poset_of_lattice(sk0_18))|~spl0_360|~spl0_75),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f938,f3508])).
% 37.66/5.14 fof(f3551,plain,(
% 37.66/5.14 ~spl0_373|spl0_374|~spl0_360|~spl0_75),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3550,f3544,f3547,f3457,f937])).
% 37.66/5.14 fof(f3552,plain,(
% 37.66/5.14 spl0_375 <=> k2_lattice3(sk0_19)=the_InternalRel(poset_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3553,plain,(
% 37.66/5.14 k2_lattice3(sk0_19)=the_InternalRel(poset_of_lattice(sk0_19))|~spl0_375),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3552])).
% 37.66/5.14 fof(f3555,plain,(
% 37.66/5.14 ~rel_str_of(the_carrier(sk0_19),k2_lattice3(sk0_19))=poset_of_lattice(sk0_19)|k2_lattice3(sk0_19)=the_InternalRel(poset_of_lattice(sk0_19))|~spl0_360|~spl0_76),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f943,f3508])).
% 37.66/5.14 fof(f3556,plain,(
% 37.66/5.14 ~spl0_52|spl0_375|~spl0_360|~spl0_76),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3555,f650,f3552,f3457,f942])).
% 37.66/5.14 fof(f3557,plain,(
% 37.66/5.14 ~in(ordered_pair(sk0_20,sk0_21),k2_lattice3(sk0_19))|~spl0_375|spl0_110),
% 37.66/5.14 inference(backward_demodulation,[status(thm)],[f3553,f1189])).
% 37.66/5.14 fof(f3601,plain,(
% 37.66/5.14 spl0_376 <=> strict_rel_str(rel_str_of(the_carrier(poset_of_lattice(sk0_19)),k2_lattice3(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3604,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_19))|strict_rel_str(rel_str_of(the_carrier(poset_of_lattice(sk0_19)),k2_lattice3(sk0_19)))|~spl0_375),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f3553,f1994])).
% 37.66/5.14 fof(f3605,plain,(
% 37.66/5.14 ~spl0_58|spl0_376|~spl0_375),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3604,f684,f3601,f3552])).
% 37.66/5.14 fof(f3606,plain,(
% 37.66/5.14 spl0_377 <=> rel_str(rel_str_of(the_carrier(poset_of_lattice(sk0_19)),k2_lattice3(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3609,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_19))|rel_str(rel_str_of(the_carrier(poset_of_lattice(sk0_19)),k2_lattice3(sk0_19)))|~spl0_375),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f3553,f1993])).
% 37.66/5.14 fof(f3610,plain,(
% 37.66/5.14 ~spl0_58|spl0_377|~spl0_375),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3609,f684,f3606,f3552])).
% 37.66/5.14 fof(f3611,plain,(
% 37.66/5.14 spl0_378 <=> relation_of2(k2_lattice3(sk0_19),the_carrier(poset_of_lattice(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3614,plain,(
% 37.66/5.14 ~rel_str(poset_of_lattice(sk0_19))|relation_of2(k2_lattice3(sk0_19),the_carrier(poset_of_lattice(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))|~spl0_375),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f3553,f1281])).
% 37.66/5.14 fof(f3615,plain,(
% 37.66/5.14 ~spl0_58|spl0_378|~spl0_375),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3614,f684,f3611,f3552])).
% 37.66/5.14 fof(f3616,plain,(
% 37.66/5.14 spl0_379 <=> transitive_relstr(poset_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3618,plain,(
% 37.66/5.14 ~transitive_relstr(poset_of_lattice(sk0_19))|spl0_379),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3616])).
% 37.66/5.14 fof(f3619,plain,(
% 37.66/5.14 spl0_380 <=> antisymmetric_relstr(poset_of_lattice(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3621,plain,(
% 37.66/5.14 ~antisymmetric_relstr(poset_of_lattice(sk0_19))|spl0_380),
% 37.66/5.14 inference(component_clause,[status(thm)],[f3619])).
% 37.66/5.14 fof(f3622,plain,(
% 37.66/5.14 spl0_381 <=> v1_partfun1(k2_lattice3(sk0_19),the_carrier(poset_of_lattice(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.14 fof(f3625,plain,(
% 37.66/5.14 ~reflexive_relstr(poset_of_lattice(sk0_19))|~transitive_relstr(poset_of_lattice(sk0_19))|~antisymmetric_relstr(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|v1_partfun1(k2_lattice3(sk0_19),the_carrier(poset_of_lattice(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))|~spl0_375),
% 37.66/5.14 inference(paramodulation,[status(thm)],[f3553,f209])).
% 37.66/5.14 fof(f3626,plain,(
% 37.66/5.14 ~spl0_71|~spl0_379|~spl0_380|~spl0_58|spl0_381|~spl0_375),
% 37.66/5.14 inference(split_clause,[status(thm)],[f3625,f865,f3616,f3619,f684,f3622,f3552])).
% 37.66/5.14 fof(f3627,plain,(
% 37.66/5.14 spl0_382 <=> transitive(k2_lattice3(sk0_19))),
% 37.66/5.14 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3630,plain,(
% 37.66/5.15 ~reflexive_relstr(poset_of_lattice(sk0_19))|~transitive_relstr(poset_of_lattice(sk0_19))|~antisymmetric_relstr(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|transitive(k2_lattice3(sk0_19))|~spl0_375),
% 37.66/5.15 inference(paramodulation,[status(thm)],[f3553,f208])).
% 37.66/5.15 fof(f3631,plain,(
% 37.66/5.15 ~spl0_71|~spl0_379|~spl0_380|~spl0_58|spl0_382|~spl0_375),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3630,f865,f3616,f3619,f684,f3627,f3552])).
% 37.66/5.15 fof(f3632,plain,(
% 37.66/5.15 spl0_383 <=> antisymmetric(k2_lattice3(sk0_19))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3633,plain,(
% 37.66/5.15 antisymmetric(k2_lattice3(sk0_19))|~spl0_383),
% 37.66/5.15 inference(component_clause,[status(thm)],[f3632])).
% 37.66/5.15 fof(f3635,plain,(
% 37.66/5.15 ~reflexive_relstr(poset_of_lattice(sk0_19))|~transitive_relstr(poset_of_lattice(sk0_19))|~antisymmetric_relstr(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|antisymmetric(k2_lattice3(sk0_19))|~spl0_375),
% 37.66/5.15 inference(paramodulation,[status(thm)],[f3553,f207])).
% 37.66/5.15 fof(f3636,plain,(
% 37.66/5.15 ~spl0_71|~spl0_379|~spl0_380|~spl0_58|spl0_383|~spl0_375),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3635,f865,f3616,f3619,f684,f3632,f3552])).
% 37.66/5.15 fof(f3637,plain,(
% 37.66/5.15 spl0_384 <=> reflexive(k2_lattice3(sk0_19))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3640,plain,(
% 37.66/5.15 ~reflexive_relstr(poset_of_lattice(sk0_19))|~transitive_relstr(poset_of_lattice(sk0_19))|~antisymmetric_relstr(poset_of_lattice(sk0_19))|~rel_str(poset_of_lattice(sk0_19))|reflexive(k2_lattice3(sk0_19))|~spl0_375),
% 37.66/5.15 inference(paramodulation,[status(thm)],[f3553,f206])).
% 37.66/5.15 fof(f3641,plain,(
% 37.66/5.15 ~spl0_71|~spl0_379|~spl0_380|~spl0_58|spl0_384|~spl0_375),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3640,f865,f3616,f3619,f684,f3637,f3552])).
% 37.66/5.15 fof(f3644,plain,(
% 37.66/5.15 spl0_385 <=> relation_of2_as_subset(k2_lattice3(sk0_19),the_carrier(poset_of_lattice(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3647,plain,(
% 37.66/5.15 ~rel_str(poset_of_lattice(sk0_19))|relation_of2_as_subset(k2_lattice3(sk0_19),the_carrier(poset_of_lattice(sk0_19)),the_carrier(poset_of_lattice(sk0_19)))|~spl0_375),
% 37.66/5.15 inference(paramodulation,[status(thm)],[f3553,f170])).
% 37.66/5.15 fof(f3648,plain,(
% 37.66/5.15 ~spl0_58|spl0_385|~spl0_375),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3647,f684,f3644,f3552])).
% 37.66/5.15 fof(f3649,plain,(
% 37.66/5.15 spl0_386 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X1,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),X0,X1)|~in(ordered_pair(X0,X1),k2_lattice3(sk0_19))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3652,plain,(
% 37.66/5.15 ![X0,X1]: (~rel_str(poset_of_lattice(sk0_19))|~element(X0,the_carrier(poset_of_lattice(sk0_19)))|~element(X1,the_carrier(poset_of_lattice(sk0_19)))|related(poset_of_lattice(sk0_19),X0,X1)|~in(ordered_pair(X0,X1),k2_lattice3(sk0_19))|~spl0_375)),
% 37.66/5.15 inference(paramodulation,[status(thm)],[f3553,f124])).
% 37.66/5.15 fof(f3653,plain,(
% 37.66/5.15 ~spl0_58|spl0_386|~spl0_375),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3652,f684,f3649,f3552])).
% 37.66/5.15 fof(f3654,plain,(
% 37.66/5.15 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|spl0_380),
% 37.66/5.15 inference(resolution,[status(thm)],[f3621,f145])).
% 37.66/5.15 fof(f3655,plain,(
% 37.66/5.15 spl0_2|~spl0_59|~spl0_3|spl0_380),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3654,f369,f724,f372,f3619])).
% 37.66/5.15 fof(f3656,plain,(
% 37.66/5.15 empty_carrier(sk0_19)|~lattice(sk0_19)|~latt_str(sk0_19)|spl0_379),
% 37.66/5.15 inference(resolution,[status(thm)],[f3618,f144])).
% 37.66/5.15 fof(f3657,plain,(
% 37.66/5.15 spl0_2|~spl0_59|~spl0_3|spl0_379),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3656,f369,f724,f372,f3616])).
% 37.66/5.15 fof(f3658,plain,(
% 37.66/5.15 spl0_387 <=> ~v1_partfun1(k2_lattice3(sk0_19),X0,X0)|~relation_of2(k2_lattice3(sk0_19),X0,X0)|antisymmetric_relstr(rel_str_of(X0,k2_lattice3(sk0_19)))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3661,plain,(
% 37.66/5.15 ![X0]: (~reflexive(k2_lattice3(sk0_19))|~transitive(k2_lattice3(sk0_19))|~v1_partfun1(k2_lattice3(sk0_19),X0,X0)|~relation_of2(k2_lattice3(sk0_19),X0,X0)|antisymmetric_relstr(rel_str_of(X0,k2_lattice3(sk0_19)))|~spl0_383)),
% 37.66/5.15 inference(resolution,[status(thm)],[f3633,f224])).
% 37.66/5.15 fof(f3662,plain,(
% 37.66/5.15 ~spl0_384|~spl0_382|spl0_387|~spl0_383),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3661,f3637,f3627,f3658,f3632])).
% 37.66/5.15 fof(f3663,plain,(
% 37.66/5.15 spl0_388 <=> ~v1_partfun1(k2_lattice3(sk0_19),X0,X0)|~relation_of2(k2_lattice3(sk0_19),X0,X0)|transitive_relstr(rel_str_of(X0,k2_lattice3(sk0_19)))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3666,plain,(
% 37.66/5.15 ![X0]: (~reflexive(k2_lattice3(sk0_19))|~transitive(k2_lattice3(sk0_19))|~v1_partfun1(k2_lattice3(sk0_19),X0,X0)|~relation_of2(k2_lattice3(sk0_19),X0,X0)|transitive_relstr(rel_str_of(X0,k2_lattice3(sk0_19)))|~spl0_383)),
% 37.66/5.15 inference(resolution,[status(thm)],[f3633,f223])).
% 37.66/5.15 fof(f3667,plain,(
% 37.66/5.15 ~spl0_384|~spl0_382|spl0_388|~spl0_383),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3666,f3637,f3627,f3663,f3632])).
% 37.66/5.15 fof(f3668,plain,(
% 37.66/5.15 spl0_389 <=> ~v1_partfun1(k2_lattice3(sk0_19),X0,X0)|~relation_of2(k2_lattice3(sk0_19),X0,X0)|reflexive_relstr(rel_str_of(X0,k2_lattice3(sk0_19)))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3671,plain,(
% 37.66/5.15 ![X0]: (~reflexive(k2_lattice3(sk0_19))|~transitive(k2_lattice3(sk0_19))|~v1_partfun1(k2_lattice3(sk0_19),X0,X0)|~relation_of2(k2_lattice3(sk0_19),X0,X0)|reflexive_relstr(rel_str_of(X0,k2_lattice3(sk0_19)))|~spl0_383)),
% 37.66/5.15 inference(resolution,[status(thm)],[f3633,f222])).
% 37.66/5.15 fof(f3672,plain,(
% 37.66/5.15 ~spl0_384|~spl0_382|spl0_389|~spl0_383),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3671,f3637,f3627,f3668,f3632])).
% 37.66/5.15 fof(f3679,plain,(
% 37.66/5.15 spl0_390 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),cast_to_el_of_LattPOSet(sk0_19,X0),sk0_21)=ordered_pair(cast_to_el_of_LattPOSet(sk0_19,X0),sk0_21)|~element(X0,the_carrier(sk0_19))),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3682,plain,(
% 37.66/5.15 ![X0]: (empty(the_carrier(poset_of_lattice(sk0_19)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),cast_to_el_of_LattPOSet(sk0_19,X0),sk0_21)=ordered_pair(cast_to_el_of_LattPOSet(sk0_19,X0),sk0_21)|~element(X0,the_carrier(sk0_19))|~spl0_337|~spl0_5)),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f389])).
% 37.66/5.15 fof(f3683,plain,(
% 37.66/5.15 spl0_29|spl0_390|~spl0_337|~spl0_5),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3682,f510,f3679,f3304,f388])).
% 37.66/5.15 fof(f3688,plain,(
% 37.66/5.15 spl0_391 <=> ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3691,plain,(
% 37.66/5.15 empty(k2_lattice3(sk0_19))|ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_6(the_carrier(sk0_19))),sk0_21)|~spl0_337|~spl0_194|~spl0_103),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2069])).
% 37.66/5.15 fof(f3692,plain,(
% 37.66/5.15 spl0_232|spl0_391|~spl0_337|~spl0_194|~spl0_103),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3691,f2363,f3688,f3304,f2058,f1122])).
% 37.66/5.15 fof(f3693,plain,(
% 37.66/5.15 spl0_392 <=> ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3696,plain,(
% 37.66/5.15 empty(k2_lattice3(sk0_19))|ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21),sk0_21)|~spl0_337|~spl0_194|~spl0_97),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2077])).
% 37.66/5.15 fof(f3697,plain,(
% 37.66/5.15 spl0_232|spl0_392|~spl0_337|~spl0_194|~spl0_97),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3696,f2363,f3693,f3304,f2058,f1090])).
% 37.66/5.15 fof(f3698,plain,(
% 37.66/5.15 spl0_393 <=> ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3701,plain,(
% 37.66/5.15 empty(k2_lattice3(sk0_19))|ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_20),sk0_21)|~spl0_337|~spl0_194|~spl0_102),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2075])).
% 37.66/5.15 fof(f3702,plain,(
% 37.66/5.15 spl0_232|spl0_393|~spl0_337|~spl0_194|~spl0_102),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3701,f2363,f3698,f3304,f2058,f1115])).
% 37.66/5.15 fof(f3703,plain,(
% 37.66/5.15 spl0_394 <=> ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),sk0_21)|~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~below_refl(sk0_19,X0,X1)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3706,plain,(
% 37.66/5.15 ![X0,X1]: (empty(k2_lattice3(sk0_19))|ordered_pair_as_product_element(k2_lattice3(sk0_19),the_carrier(sk0_19),ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),sk0_21)=ordered_pair(ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),X0,X1),sk0_21)|~element(X0,the_carrier(sk0_19))|~element(X1,the_carrier(sk0_19))|~below_refl(sk0_19,X0,X1)|~spl0_337|~spl0_194|~spl0_95)),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2378])).
% 37.66/5.15 fof(f3707,plain,(
% 37.66/5.15 spl0_232|spl0_394|~spl0_337|~spl0_194|~spl0_95),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3706,f2363,f3703,f3304,f2058,f1077])).
% 37.66/5.15 fof(f3716,plain,(
% 37.66/5.15 spl0_396 <=> ordered_pair_as_product_element(sk0_9(sk0_9(sk0_9(powerset(empty_set)))),the_carrier(sk0_19),empty_set,sk0_21)=ordered_pair(empty_set,sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3719,plain,(
% 37.66/5.15 empty(sk0_9(sk0_9(sk0_9(powerset(empty_set)))))|ordered_pair_as_product_element(sk0_9(sk0_9(sk0_9(powerset(empty_set)))),the_carrier(sk0_19),empty_set,sk0_21)=ordered_pair(empty_set,sk0_21)|~spl0_337|~spl0_199),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2222])).
% 37.66/5.15 fof(f3720,plain,(
% 37.66/5.15 spl0_211|spl0_396|~spl0_337|~spl0_199),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3719,f2209,f3716,f3304,f2105])).
% 37.66/5.15 fof(f3721,plain,(
% 37.66/5.15 spl0_397 <=> ordered_pair_as_product_element(sk0_9(sk0_9(powerset(empty_set))),the_carrier(sk0_19),empty_set,sk0_21)=ordered_pair(empty_set,sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3724,plain,(
% 37.66/5.15 empty(sk0_9(sk0_9(powerset(empty_set))))|ordered_pair_as_product_element(sk0_9(sk0_9(powerset(empty_set))),the_carrier(sk0_19),empty_set,sk0_21)=ordered_pair(empty_set,sk0_21)|~spl0_337|~spl0_161),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1953])).
% 37.66/5.15 fof(f3725,plain,(
% 37.66/5.15 spl0_186|spl0_397|~spl0_337|~spl0_161),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3724,f1940,f3721,f3304,f1749])).
% 37.66/5.15 fof(f3726,plain,(
% 37.66/5.15 spl0_398 <=> ordered_pair_as_product_element(sk0_9(powerset(empty_set)),the_carrier(sk0_19),empty_set,sk0_21)=ordered_pair(empty_set,sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3729,plain,(
% 37.66/5.15 empty(sk0_9(powerset(empty_set)))|ordered_pair_as_product_element(sk0_9(powerset(empty_set)),the_carrier(sk0_19),empty_set,sk0_21)=ordered_pair(empty_set,sk0_21)|~spl0_337|~spl0_116),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1454])).
% 37.66/5.15 fof(f3730,plain,(
% 37.66/5.15 spl0_131|spl0_398|~spl0_337|~spl0_116),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3729,f1441,f3726,f3304,f1299])).
% 37.66/5.15 fof(f3733,plain,(
% 37.66/5.15 spl0_399 <=> ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21)=ordered_pair(sk0_21,sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3736,plain,(
% 37.66/5.15 empty(the_carrier(sk0_19))|ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_21,sk0_21)=ordered_pair(sk0_21,sk0_21)|~spl0_337),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f355])).
% 37.66/5.15 fof(f3737,plain,(
% 37.66/5.15 spl0_34|spl0_399|~spl0_337),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3736,f534,f3733,f3304])).
% 37.66/5.15 fof(f3738,plain,(
% 37.66/5.15 spl0_400 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_21,sk0_21)=ordered_pair(sk0_21,sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3741,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_19)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_21,sk0_21)=ordered_pair(sk0_21,sk0_21)|~spl0_337|~spl0_9),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f405])).
% 37.66/5.15 fof(f3742,plain,(
% 37.66/5.15 spl0_29|spl0_400|~spl0_337|~spl0_9),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3741,f510,f3738,f3304,f404])).
% 37.66/5.15 fof(f3743,plain,(
% 37.66/5.15 spl0_401 <=> ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21)=ordered_pair(sk0_20,sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3744,plain,(
% 37.66/5.15 ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21)=ordered_pair(sk0_20,sk0_21)|~spl0_401),
% 37.66/5.15 inference(component_clause,[status(thm)],[f3743])).
% 37.66/5.15 fof(f3746,plain,(
% 37.66/5.15 empty(the_carrier(sk0_19))|ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_20,sk0_21)=ordered_pair(sk0_20,sk0_21)|~spl0_337),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f354])).
% 37.66/5.15 fof(f3747,plain,(
% 37.66/5.15 spl0_34|spl0_401|~spl0_337),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3746,f534,f3743,f3304])).
% 37.66/5.15 fof(f3748,plain,(
% 37.66/5.15 spl0_402 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_20,sk0_21)=ordered_pair(sk0_20,sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3751,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_19)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_20,sk0_21)=ordered_pair(sk0_20,sk0_21)|~spl0_337|~spl0_7),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f397])).
% 37.66/5.15 fof(f3752,plain,(
% 37.66/5.15 spl0_29|spl0_402|~spl0_337|~spl0_7),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3751,f510,f3748,f3304,f396])).
% 37.66/5.15 fof(f3759,plain,(
% 37.66/5.15 spl0_404 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3762,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_18)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18)))))),sk0_21)|~spl0_337|~spl0_256),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2531])).
% 37.66/5.15 fof(f3763,plain,(
% 37.66/5.15 spl0_27|spl0_404|~spl0_337|~spl0_256),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3762,f502,f3759,f3304,f2530])).
% 37.66/5.15 fof(f3764,plain,(
% 37.66/5.15 spl0_405 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3767,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_18)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_18))))),sk0_21)|~spl0_337|~spl0_202|~spl0_201),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2167])).
% 37.66/5.15 fof(f3768,plain,(
% 37.66/5.15 spl0_27|spl0_405|~spl0_337|~spl0_202|~spl0_201),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3767,f502,f3764,f3304,f2126,f2121])).
% 37.66/5.15 fof(f3769,plain,(
% 37.66/5.15 spl0_406 <=> ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3772,plain,(
% 37.66/5.15 empty(the_carrier(sk0_19))|ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)|~spl0_337|~spl0_239),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2422])).
% 37.66/5.15 fof(f3773,plain,(
% 37.66/5.15 spl0_34|spl0_406|~spl0_337|~spl0_239),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3772,f534,f3769,f3304,f2421])).
% 37.66/5.15 fof(f3774,plain,(
% 37.66/5.15 spl0_407 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3777,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_19)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(sk0_9(the_carrier(sk0_19))))),sk0_21)|~spl0_337|~spl0_204|~spl0_203),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f2390])).
% 37.66/5.15 fof(f3778,plain,(
% 37.66/5.15 spl0_29|spl0_407|~spl0_337|~spl0_204|~spl0_203),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3777,f510,f3774,f3304,f2136,f2131])).
% 37.66/5.15 fof(f3781,plain,(
% 37.66/5.15 spl0_408 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3784,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_18)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(poset_of_lattice(sk0_18))))),sk0_21)|~spl0_337|~spl0_183),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1875])).
% 37.66/5.15 fof(f3785,plain,(
% 37.66/5.15 spl0_27|spl0_408|~spl0_337|~spl0_183),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3784,f502,f3781,f3304,f1874])).
% 37.66/5.15 fof(f3786,plain,(
% 37.66/5.15 spl0_409 <=> ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3789,plain,(
% 37.66/5.15 empty(the_carrier(sk0_19))|ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)|~spl0_337|~spl0_176),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1838])).
% 37.66/5.15 fof(f3790,plain,(
% 37.66/5.15 spl0_34|spl0_409|~spl0_337|~spl0_176),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3789,f534,f3786,f3304,f1837])).
% 37.66/5.15 fof(f3791,plain,(
% 37.66/5.15 spl0_410 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3794,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_19)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_19)))),sk0_21)|~spl0_337|~spl0_166|~spl0_165),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1813])).
% 37.66/5.15 fof(f3795,plain,(
% 37.66/5.15 spl0_29|spl0_410|~spl0_337|~spl0_166|~spl0_165),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3794,f510,f3791,f3304,f1780,f1775])).
% 37.66/5.15 fof(f3796,plain,(
% 37.66/5.15 spl0_411 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3799,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_18)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_21)=ordered_pair(sk0_6(sk0_9(sk0_9(the_carrier(sk0_18)))),sk0_21)|~spl0_337|~spl0_164|~spl0_163),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1811])).
% 37.66/5.15 fof(f3800,plain,(
% 37.66/5.15 spl0_27|spl0_411|~spl0_337|~spl0_164|~spl0_163),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3799,f502,f3796,f3304,f1770,f1765])).
% 37.66/5.15 fof(f3803,plain,(
% 37.66/5.15 spl0_412 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3806,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_18)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(poset_of_lattice(sk0_18)))),sk0_21)|~spl0_337|~spl0_157),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1676])).
% 37.66/5.15 fof(f3807,plain,(
% 37.66/5.15 spl0_27|spl0_412|~spl0_337|~spl0_157),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3806,f502,f3803,f3304,f1675])).
% 37.66/5.15 fof(f3808,plain,(
% 37.66/5.15 spl0_413 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3811,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_18)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(sk0_18))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(sk0_18))),sk0_21)|~spl0_337|~spl0_128|~spl0_126),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1412])).
% 37.66/5.15 fof(f3812,plain,(
% 37.66/5.15 spl0_27|spl0_413|~spl0_337|~spl0_128|~spl0_126),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3811,f502,f3808,f3304,f1359,f1349])).
% 37.66/5.15 fof(f3813,plain,(
% 37.66/5.15 spl0_414 <=> ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3816,plain,(
% 37.66/5.15 empty(the_carrier(sk0_19))|ordered_pair_as_product_element(the_carrier(sk0_19),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)|~spl0_337|~spl0_138),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1527])).
% 37.66/5.15 fof(f3817,plain,(
% 37.66/5.15 spl0_34|spl0_414|~spl0_337|~spl0_138),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3816,f534,f3813,f3304,f1526])).
% 37.66/5.15 fof(f3818,plain,(
% 37.66/5.15 spl0_415 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3821,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_19)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)=ordered_pair(sk0_6(sk0_9(the_carrier(sk0_19))),sk0_21)|~spl0_337|~spl0_117|~spl0_136),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f1519])).
% 37.66/5.15 fof(f3822,plain,(
% 37.66/5.15 spl0_29|spl0_415|~spl0_337|~spl0_117|~spl0_136),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3821,f510,f3818,f3304,f1310,f1512])).
% 37.66/5.15 fof(f3825,plain,(
% 37.66/5.15 spl0_416 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(the_carrier(sk0_18)),sk0_21)=ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_21)),
% 37.66/5.15 introduced(split_symbol_definition)).
% 37.66/5.15 fof(f3828,plain,(
% 37.66/5.15 empty(the_carrier(poset_of_lattice(sk0_18)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_18)),the_carrier(sk0_19),sk0_6(the_carrier(sk0_18)),sk0_21)=ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_21)|~spl0_337|~spl0_26),
% 37.66/5.15 inference(resolution,[status(thm)],[f3305,f496])).
% 37.66/5.15 fof(f3829,plain,(
% 37.66/5.15 spl0_27|spl0_416|~spl0_337|~spl0_26),
% 37.66/5.15 inference(split_clause,[status(thm)],[f3828,f502,f3825,f3304,f495])).
% 37.66/5.15 fof(f3830,plain,(
% 37.66/5.15 spl0_417 <=> ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_21)=ordered_pair(sk0_6(the_carrier(sk0_19)),sk0_21)),
% 38.18/5.17 introduced(split_symbol_definition)).
% 38.18/5.17 fof(f3833,plain,(
% 38.18/5.17 empty(the_carrier(poset_of_lattice(sk0_19)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sk0_19)),the_carrier(sk0_19),sk0_6(the_carrier(sk0_19)),sk0_21)=ordered_pair(sk0_6(the_carrier(sk0_19)),sk0_21)|~spl0_337|~spl0_24),
% 38.18/5.17 inference(resolution,[status(thm)],[f3305,f485])).
% 38.18/5.17 fof(f3834,plain,(
% 38.18/5.17 spl0_29|spl0_417|~spl0_337|~spl0_24),
% 38.18/5.17 inference(split_clause,[status(thm)],[f3833,f510,f3830,f3304,f484])).
% 38.18/5.17 fof(f3850,plain,(
% 38.18/5.17 in(ordered_pair(sk0_20,sk0_21),k2_lattice3(sk0_19))|~spl0_401|~spl0_194|~spl0_96),
% 38.18/5.17 inference(backward_demodulation,[status(thm)],[f3744,f2797])).
% 38.18/5.17 fof(f3851,plain,(
% 38.18/5.17 $false|~spl0_375|spl0_110|~spl0_401|~spl0_194|~spl0_96),
% 38.18/5.17 inference(forward_subsumption_resolution,[status(thm)],[f3850,f3557])).
% 38.18/5.17 fof(f3852,plain,(
% 38.18/5.17 ~spl0_375|spl0_110|~spl0_401|~spl0_194|~spl0_96),
% 38.18/5.17 inference(contradiction_clause,[status(thm)],[f3851])).
% 38.18/5.17 fof(f3853,plain,(
% 38.18/5.17 ~in(ordered_pair(sk0_20,sk0_21),relation_of_lattice(sk0_19))|~spl0_401|spl0_96),
% 38.18/5.17 inference(forward_demodulation,[status(thm)],[f3744,f1087])).
% 38.18/5.17 fof(f3854,plain,(
% 38.18/5.17 ~in(ordered_pair(sk0_20,sk0_21),k2_lattice3(sk0_19))|~spl0_194|~spl0_401|spl0_96),
% 38.18/5.17 inference(forward_demodulation,[status(thm)],[f2059,f3853])).
% 38.18/5.17 fof(f3855,plain,(
% 38.18/5.17 in(ordered_pair(sk0_20,sk0_21),k2_lattice3(sk0_19))|~spl0_375|~spl0_110),
% 38.18/5.17 inference(forward_demodulation,[status(thm)],[f3553,f1188])).
% 38.18/5.17 fof(f3856,plain,(
% 38.18/5.17 $false|~spl0_194|~spl0_401|spl0_96|~spl0_375|~spl0_110),
% 38.18/5.17 inference(forward_subsumption_resolution,[status(thm)],[f3855,f3854])).
% 38.18/5.17 fof(f3857,plain,(
% 38.18/5.17 ~spl0_194|~spl0_401|spl0_96|~spl0_375|~spl0_110),
% 38.18/5.17 inference(contradiction_clause,[status(thm)],[f3856])).
% 38.18/5.17 fof(f3858,plain,(
% 38.18/5.17 $false),
% 38.18/5.17 inference(sat_refutation,[status(thm)],[f367,f368,f379,f381,f383,f392,f400,f408,f410,f412,f426,f428,f448,f450,f452,f454,f456,f463,f468,f473,f475,f477,f480,f488,f490,f499,f501,f509,f517,f523,f528,f533,f541,f546,f551,f568,f583,f585,f590,f598,f600,f608,f610,f615,f629,f642,f644,f649,f654,f672,f680,f688,f692,f728,f730,f787,f795,f800,f802,f804,f819,f823,f825,f835,f861,f869,f872,f877,f882,f896,f903,f905,f909,f941,f946,f956,f961,f965,f980,f982,f987,f992,f997,f1014,f1027,f1029,f1036,f1040,f1052,f1060,f1076,f1081,f1089,f1105,f1112,f1114,f1121,f1128,f1130,f1132,f1143,f1163,f1165,f1167,f1169,f1174,f1182,f1191,f1196,f1223,f1228,f1231,f1303,f1314,f1322,f1330,f1335,f1340,f1353,f1358,f1363,f1370,f1408,f1440,f1448,f1453,f1456,f1478,f1487,f1505,f1516,f1525,f1533,f1535,f1541,f1552,f1572,f1581,f1586,f1599,f1604,f1611,f1616,f1632,f1640,f1667,f1672,f1674,f1679,f1692,f1699,f1701,f1708,f1753,f1764,f1769,f1774,f1779,f1784,f1792,f1797,f1802,f1822,f1830,f1836,f1844,f1846,f1852,f1861,f1866,f1868,f1873,f1883,f1885,f1887,f1939,f1947,f1952,f1955,f2009,f2014,f2019,f2024,f2057,f2062,f2089,f2094,f2099,f2104,f2109,f2120,f2125,f2130,f2135,f2140,f2148,f2153,f2158,f2208,f2216,f2221,f2224,f2370,f2372,f2384,f2396,f2401,f2418,f2428,f2430,f2436,f2442,f2447,f2463,f2468,f2480,f2487,f2495,f2503,f2517,f2522,f2524,f2529,f2539,f2541,f2548,f2557,f2609,f2614,f2619,f2643,f2648,f2653,f2658,f2694,f2699,f2702,f2725,f2727,f2749,f2754,f2757,f2799,f2806,f2820,f2848,f2855,f2862,f2867,f2869,f2913,f2917,f2920,f2923,f2926,f2929,f2932,f2935,f3095,f3134,f3144,f3159,f3165,f3180,f3188,f3199,f3204,f3209,f3218,f3223,f3228,f3233,f3238,f3243,f3248,f3253,f3258,f3263,f3268,f3273,f3278,f3291,f3296,f3301,f3308,f3313,f3318,f3323,f3344,f3349,f3354,f3361,f3366,f3371,f3376,f3383,f3388,f3393,f3398,f3405,f3410,f3443,f3448,f3456,f3461,f3468,f3476,f3497,f3499,f3514,f3522,f3529,f3534,f3536,f3551,f3556,f3605,f3610,f3615,f3626,f3631,f3636,f3641,f3648,f3653,f3655,f3657,f3662,f3667,f3672,f3683,f3692,f3697,f3702,f3707,f3720,f3725,f3730,f3737,f3742,f3747,f3752,f3763,f3768,f3773,f3778,f3785,f3790,f3795,f3800,f3807,f3812,f3817,f3822,f3829,f3834,f3852,f3857])).
% 38.18/5.17 % SZS output end CNFRefutation for theBenchmark.p
% 38.18/5.20 % Elapsed time: 4.859608 seconds
% 38.18/5.20 % CPU time: 38.230207 seconds
% 38.18/5.20 % Total memory used: 331.195 MB
% 38.18/5.20 % Net memory used: 325.460 MB
%------------------------------------------------------------------------------