%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU346+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:22:23 PM UTC 2026
% Result : Theorem 7.99s 1.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU346+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n020.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 06:15:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 7.99/1.54 % Refutation found
% 7.99/1.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.99/1.54 % SZS output start CNFRefutation for theBenchmark
% 7.99/1.54 fof(f1,axiom,(
% 7.99/1.54 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f2,axiom,(
% 7.99/1.54 (! [A] :( latt_str(A)=> ( strict_latt_str(A)=> A = latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f3,axiom,(
% 7.99/1.54 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f4,axiom,(
% 7.99/1.54 (! [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) ) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f5,axiom,(
% 7.99/1.54 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f8,axiom,(
% 7.99/1.54 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> poset_of_lattice(A) = rel_str_of(the_carrier(A),k2_lattice3(A)) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f9,axiom,(
% 7.99/1.54 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f11,axiom,(
% 7.99/1.54 (! [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)) ) ) )) )) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f12,axiom,(
% 7.99/1.54 (! [A,B] :( relation_of2(B,A,A)=> ( strict_rel_str(rel_str_of(A,B))& rel_str(rel_str_of(A,B)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f14,axiom,(
% 7.99/1.54 (! [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))) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f15,axiom,(
% 7.99/1.54 (! [A,B,C,D] :( ( ~ empty(A)& ~ empty(B)& element(C,A)& element(D,B) )=> element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B)) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f19,axiom,(
% 7.99/1.54 (! [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)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f22,axiom,(
% 7.99/1.54 (! [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)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f23,axiom,(
% 7.99/1.54 (! [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))) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f25,axiom,(
% 7.99/1.54 (! [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)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f28,axiom,(
% 7.99/1.54 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f30,axiom,(
% 7.99/1.54 (! [A] :( join_semilatt_str(A)=> one_sorted_str(A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f31,axiom,(
% 7.99/1.54 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f34,axiom,(
% 7.99/1.54 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f36,axiom,(
% 7.99/1.54 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f45,axiom,(
% 7.99/1.54 (! [A] :(? [B] : element(B,A) ))),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f47,axiom,(
% 7.99/1.54 (! [A,B] :( ( ~ empty(A)& relation_of2(B,A,A) )=> ( ~ empty_carrier(rel_str_of(A,B))& strict_rel_str(rel_str_of(A,B)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f48,axiom,(
% 7.99/1.54 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f49,axiom,(
% 7.99/1.54 (! [A] : ~ empty(powerset(A)) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f50,axiom,(
% 7.99/1.54 empty(empty_set) ),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f52,axiom,(
% 7.99/1.54 (! [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)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f56,axiom,(
% 7.99/1.54 (! [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)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f59,axiom,(
% 7.99/1.54 (! [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)) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f60,axiom,(
% 7.99/1.54 (! [A,B] :( ( ~ empty(A)& ~ empty(B) )=> ~ empty(cartesian_product2(A,B)) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f62,axiom,(
% 7.99/1.54 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f64,axiom,(
% 7.99/1.54 (? [A] :( rel_str(A)& strict_rel_str(A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f65,axiom,(
% 7.99/1.54 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f67,axiom,(
% 7.99/1.54 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f70,axiom,(
% 7.99/1.54 (? [A] :( latt_str(A)& strict_latt_str(A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f72,axiom,(
% 7.99/1.54 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B) ) )) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f73,axiom,(
% 7.99/1.54 (? [A] :( latt_str(A)& ~ empty_carrier(A)& strict_latt_str(A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f74,axiom,(
% 7.99/1.54 (? [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) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f75,axiom,(
% 7.99/1.54 (! [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) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f76,axiom,(
% 7.99/1.54 (! [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) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f77,axiom,(
% 7.99/1.54 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> k2_lattice3(A) = relation_of_lattice(A) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f78,axiom,(
% 7.99/1.54 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f79,axiom,(
% 7.99/1.54 (! [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,C)<=> below(A,B,C) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f80,axiom,(
% 7.99/1.54 (! [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) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f82,axiom,(
% 7.99/1.54 (! [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) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f83,axiom,(
% 7.99/1.54 (! [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) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f84,axiom,(
% 7.99/1.54 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f85,axiom,(
% 7.99/1.54 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 7.99/1.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.54 fof(f86,axiom,(
% 7.99/1.54 (! [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) ) ) )) )) )),
% 7.99/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.55 fof(f87,axiom,(
% 7.99/1.55 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 7.99/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.55 fof(f88,axiom,(
% 7.99/1.55 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 7.99/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.55 fof(f89,axiom,(
% 7.99/1.55 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 7.99/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.55 fof(f90,axiom,(
% 7.99/1.55 (! [A] :( empty(A)=> A = empty_set ) )),
% 7.99/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.55 fof(f91,axiom,(
% 7.99/1.55 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 7.99/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.55 fof(f92,conjecture,(
% 7.99/1.55 (! [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)) ) ) )) )) )),
% 7.99/1.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.55 fof(f93,negated_conjecture,(
% 7.99/1.55 ~((! [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)) ) ) )) )) ))),
% 7.99/1.55 inference(negated_conjecture,[status(cth)],[f92])).
% 7.99/1.55 fof(f95,plain,(
% 7.99/1.55 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 7.99/1.55 fof(f96,plain,(
% 7.99/1.55 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f95])).
% 7.99/1.55 fof(f97,plain,(
% 7.99/1.55 ![A]: (~latt_str(A)|(~strict_latt_str(A)|A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 7.99/1.55 fof(f98,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|~strict_latt_str(X0)|X0=latt_str_of(the_carrier(X0),the_L_join(X0),the_L_meet(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f97])).
% 7.99/1.55 fof(f99,plain,(
% 7.99/1.55 ![A,B]: (~in(A,B)|~in(B,A))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 7.99/1.55 fof(f100,plain,(
% 7.99/1.55 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f99])).
% 7.99/1.55 fof(f101,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 7.99/1.55 fof(f103,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_commutative(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f101])).
% 7.99/1.55 fof(f104,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_associative(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f101])).
% 7.99/1.55 fof(f105,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_commutative(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f101])).
% 7.99/1.55 fof(f106,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_associative(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f101])).
% 7.99/1.55 fof(f107,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_absorbing(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f101])).
% 7.99/1.55 fof(f108,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_absorbing(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f101])).
% 7.99/1.55 fof(f109,plain,(
% 7.99/1.55 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 7.99/1.55 fof(f110,plain,(
% 7.99/1.55 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f109])).
% 7.99/1.55 fof(f111,plain,(
% 7.99/1.55 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f110])).
% 7.99/1.55 fof(f116,plain,(
% 7.99/1.55 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 7.99/1.55 fof(f117,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|poset_of_lattice(X0)=rel_str_of(the_carrier(X0),k2_lattice3(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f116])).
% 7.99/1.55 fof(f118,plain,(
% 7.99/1.55 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 7.99/1.55 fof(f119,plain,(
% 7.99/1.55 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f118])).
% 7.99/1.55 fof(f121,plain,(
% 7.99/1.55 ![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))))))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 7.99/1.55 fof(f122,plain,(
% 7.99/1.55 ![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)))))))))),
% 7.99/1.55 inference(NNF_transformation,[status(thm)],[f121])).
% 7.99/1.55 fof(f123,plain,(
% 7.99/1.55 ![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)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f122])).
% 7.99/1.55 fof(f124,plain,(
% 7.99/1.55 ![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)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f122])).
% 7.99/1.55 fof(f125,plain,(
% 7.99/1.55 ![A,B]: (~relation_of2(B,A,A)|(strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 7.99/1.55 fof(f126,plain,(
% 7.99/1.55 ![X0,X1]: (~relation_of2(X0,X1,X1)|strict_rel_str(rel_str_of(X1,X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f125])).
% 7.99/1.55 fof(f127,plain,(
% 7.99/1.55 ![X0,X1]: (~relation_of2(X0,X1,X1)|rel_str(rel_str_of(X1,X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f125])).
% 7.99/1.55 fof(f131,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 7.99/1.55 fof(f132,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f131])).
% 7.99/1.55 fof(f133,plain,(
% 7.99/1.55 ![A,B,C,D]: ((((empty(A)|empty(B))|~element(C,A))|~element(D,B))|element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 7.99/1.55 fof(f134,plain,(
% 7.99/1.55 ![X0,X1,X2,X3]: (empty(X0)|empty(X1)|~element(X2,X0)|~element(X3,X1)|element(ordered_pair_as_product_element(X0,X1,X2,X3),cartesian_product2(X0,X1)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f133])).
% 7.99/1.55 fof(f135,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 7.99/1.55 fof(f136,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive(k2_lattice3(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f135])).
% 7.99/1.55 fof(f137,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric(k2_lattice3(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f135])).
% 7.99/1.55 fof(f138,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive(k2_lattice3(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f135])).
% 7.99/1.55 fof(f139,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f135])).
% 7.99/1.55 fof(f140,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f135])).
% 7.99/1.55 fof(f141,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 7.99/1.55 fof(f142,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|strict_rel_str(poset_of_lattice(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f141])).
% 7.99/1.55 fof(f143,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive_relstr(poset_of_lattice(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f141])).
% 7.99/1.55 fof(f144,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive_relstr(poset_of_lattice(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f141])).
% 7.99/1.55 fof(f146,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|rel_str(poset_of_lattice(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f141])).
% 7.99/1.55 fof(f147,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 7.99/1.55 fof(f148,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f147])).
% 7.99/1.55 fof(f149,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 7.99/1.55 fof(f150,plain,(
% 7.99/1.55 ![X0,X1]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1)|strict_latt_str(k8_filter_1(X0,X1)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f149])).
% 7.99/1.55 fof(f151,plain,(
% 7.99/1.55 ![X0,X1]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1)|latt_str(k8_filter_1(X0,X1)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f149])).
% 7.99/1.55 fof(f156,plain,(
% 7.99/1.55 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 7.99/1.55 fof(f157,plain,(
% 7.99/1.55 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f156])).
% 7.99/1.55 fof(f158,plain,(
% 7.99/1.55 ![A]: (~join_semilatt_str(A)|one_sorted_str(A))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 7.99/1.55 fof(f159,plain,(
% 7.99/1.55 ![X0]: (~join_semilatt_str(X0)|one_sorted_str(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f158])).
% 7.99/1.55 fof(f160,plain,(
% 7.99/1.55 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 7.99/1.55 fof(f161,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|meet_semilatt_str(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f160])).
% 7.99/1.55 fof(f162,plain,(
% 7.99/1.55 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f160])).
% 7.99/1.55 fof(f163,plain,(
% 7.99/1.55 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 7.99/1.55 fof(f164,plain,(
% 7.99/1.55 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f163])).
% 7.99/1.55 fof(f169,plain,(
% 7.99/1.55 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 7.99/1.55 fof(f170,plain,(
% 7.99/1.55 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f169])).
% 7.99/1.55 fof(f187,plain,(
% 7.99/1.55 ![A]: element(sK6_skl(A),A)),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(B,sK6_skl(A))],[f45])).
% 7.99/1.55 fof(f188,plain,(
% 7.99/1.55 ![X0]: (element(sK6_skl(X0),X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f187])).
% 7.99/1.55 fof(f191,plain,(
% 7.99/1.55 ![A,B]: ((empty(A)|~relation_of2(B,A,A))|(~empty_carrier(rel_str_of(A,B))&strict_rel_str(rel_str_of(A,B))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 7.99/1.55 fof(f192,plain,(
% 7.99/1.55 ![X0,X1]: (empty(X0)|~relation_of2(X1,X0,X0)|~empty_carrier(rel_str_of(X0,X1)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f191])).
% 7.99/1.55 fof(f194,plain,(
% 7.99/1.55 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 7.99/1.55 fof(f195,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f194])).
% 7.99/1.55 fof(f196,plain,(
% 7.99/1.55 ![X0]: (~empty(powerset(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f49])).
% 7.99/1.55 fof(f197,plain,(
% 7.99/1.55 empty(empty_set)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f50])).
% 7.99/1.55 fof(f204,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 7.99/1.55 fof(f209,plain,(
% 7.99/1.55 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|v1_partfun1(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f204])).
% 7.99/1.55 fof(f220,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 7.99/1.55 fof(f222,plain,(
% 7.99/1.55 ![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)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f220])).
% 7.99/1.55 fof(f223,plain,(
% 7.99/1.55 ![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)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f220])).
% 7.99/1.55 fof(f224,plain,(
% 7.99/1.55 ![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)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f220])).
% 7.99/1.55 fof(f232,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f59])).
% 7.99/1.55 fof(f233,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~empty_carrier(poset_of_lattice(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f232])).
% 7.99/1.55 fof(f238,plain,(
% 7.99/1.55 ![A,B]: ((empty(A)|empty(B))|~empty(cartesian_product2(A,B)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f60])).
% 7.99/1.55 fof(f239,plain,(
% 7.99/1.55 ![X0,X1]: (empty(X0)|empty(X1)|~empty(cartesian_product2(X0,X1)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f238])).
% 7.99/1.55 fof(f246,plain,(
% 7.99/1.55 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f62])).
% 7.99/1.55 fof(f247,plain,(
% 7.99/1.55 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X1=X2)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f246])).
% 7.99/1.55 fof(f248,plain,(
% 7.99/1.55 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X0=X3)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f246])).
% 7.99/1.55 fof(f253,plain,(
% 7.99/1.55 (rel_str(sK8_skl)&strict_rel_str(sK8_skl))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f64])).
% 7.99/1.55 fof(f254,plain,(
% 7.99/1.55 rel_str(sK8_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f253])).
% 7.99/1.55 fof(f255,plain,(
% 7.99/1.55 strict_rel_str(sK8_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f253])).
% 7.99/1.55 fof(f256,plain,(
% 7.99/1.55 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 7.99/1.55 fof(f257,plain,(
% 7.99/1.55 ![A]: (empty(A)|(element(sK9_skl(A),powerset(A))&~empty(sK9_skl(A))))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(B,sK9_skl(A))],[f256])).
% 7.99/1.55 fof(f258,plain,(
% 7.99/1.55 ![X0]: (empty(X0)|element(sK9_skl(X0),powerset(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f257])).
% 7.99/1.55 fof(f259,plain,(
% 7.99/1.55 ![X0]: (empty(X0)|~empty(sK9_skl(X0)))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f257])).
% 7.99/1.55 fof(f262,plain,(
% 7.99/1.55 (((((rel_str(sK11_skl)&~empty_carrier(sK11_skl))&strict_rel_str(sK11_skl))&reflexive_relstr(sK11_skl))&transitive_relstr(sK11_skl))&antisymmetric_relstr(sK11_skl))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(A,sK11_skl)],[f67])).
% 7.99/1.55 fof(f263,plain,(
% 7.99/1.55 rel_str(sK11_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f262])).
% 7.99/1.55 fof(f264,plain,(
% 7.99/1.55 ~empty_carrier(sK11_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f262])).
% 7.99/1.55 fof(f265,plain,(
% 7.99/1.55 strict_rel_str(sK11_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f262])).
% 7.99/1.55 fof(f266,plain,(
% 7.99/1.55 reflexive_relstr(sK11_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f262])).
% 7.99/1.55 fof(f274,plain,(
% 7.99/1.55 (latt_str(sK14_skl)&strict_latt_str(sK14_skl))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(A,sK14_skl)],[f70])).
% 7.99/1.55 fof(f275,plain,(
% 7.99/1.55 latt_str(sK14_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f274])).
% 7.99/1.55 fof(f276,plain,(
% 7.99/1.55 strict_latt_str(sK14_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f274])).
% 7.99/1.55 fof(f280,plain,(
% 7.99/1.55 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&~empty(B))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f72])).
% 7.99/1.55 fof(f281,plain,(
% 7.99/1.55 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(element(sK16_skl(A),powerset(the_carrier(A)))&~empty(sK16_skl(A))))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(B,sK16_skl(A))],[f280])).
% 7.99/1.55 fof(f282,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|element(sK16_skl(X0),powerset(the_carrier(X0))))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f281])).
% 7.99/1.55 fof(f284,plain,(
% 7.99/1.55 ((latt_str(sK17_skl)&~empty_carrier(sK17_skl))&strict_latt_str(sK17_skl))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(A,sK17_skl)],[f73])).
% 7.99/1.55 fof(f285,plain,(
% 7.99/1.55 latt_str(sK17_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f284])).
% 7.99/1.55 fof(f286,plain,(
% 7.99/1.55 ~empty_carrier(sK17_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f284])).
% 7.99/1.55 fof(f287,plain,(
% 7.99/1.55 strict_latt_str(sK17_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f284])).
% 7.99/1.55 fof(f288,plain,(
% 7.99/1.55 (((((((((latt_str(sK18_skl)&~empty_carrier(sK18_skl))&strict_latt_str(sK18_skl))&join_commutative(sK18_skl))&join_associative(sK18_skl))&meet_commutative(sK18_skl))&meet_associative(sK18_skl))&meet_absorbing(sK18_skl))&join_absorbing(sK18_skl))&lattice(sK18_skl))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl]),skolemize(A,sK18_skl)],[f74])).
% 7.99/1.55 fof(f289,plain,(
% 7.99/1.55 latt_str(sK18_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f288])).
% 7.99/1.55 fof(f290,plain,(
% 7.99/1.55 ~empty_carrier(sK18_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f288])).
% 7.99/1.55 fof(f291,plain,(
% 7.99/1.55 strict_latt_str(sK18_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f288])).
% 7.99/1.55 fof(f294,plain,(
% 7.99/1.55 meet_commutative(sK18_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f288])).
% 7.99/1.55 fof(f296,plain,(
% 7.99/1.55 meet_absorbing(sK18_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f288])).
% 7.99/1.55 fof(f297,plain,(
% 7.99/1.55 join_absorbing(sK18_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f288])).
% 7.99/1.55 fof(f298,plain,(
% 7.99/1.55 lattice(sK18_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f288])).
% 7.99/1.55 fof(f299,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 7.99/1.55 fof(f300,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f299])).
% 7.99/1.55 fof(f301,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f76])).
% 7.99/1.55 fof(f302,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f301])).
% 7.99/1.55 fof(f303,plain,(
% 7.99/1.55 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|k2_lattice3(A)=relation_of_lattice(A))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f77])).
% 7.99/1.55 fof(f304,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|k2_lattice3(X0)=relation_of_lattice(X0))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f303])).
% 7.99/1.55 fof(f305,plain,(
% 7.99/1.55 ![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)))),
% 7.99/1.55 inference(NNF_transformation,[status(thm)],[f78])).
% 7.99/1.55 fof(f306,plain,(
% 7.99/1.55 (![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)))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f305])).
% 7.99/1.55 fof(f307,plain,(
% 7.99/1.55 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f306])).
% 7.99/1.55 fof(f309,plain,(
% 7.99/1.55 ![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,C)<=>below(A,B,C)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f79])).
% 7.99/1.55 fof(f310,plain,(
% 7.99/1.55 ![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,C)|below(A,B,C))&(below_refl(A,B,C)|~below(A,B,C))))),
% 7.99/1.55 inference(NNF_transformation,[status(thm)],[f309])).
% 7.99/1.55 fof(f311,plain,(
% 7.99/1.55 ![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,X2)|below(X0,X1,X2))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f310])).
% 7.99/1.55 fof(f312,plain,(
% 7.99/1.55 ![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,X2)|~below(X0,X1,X2))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f310])).
% 7.99/1.55 fof(f313,plain,(
% 7.99/1.55 ![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)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f80])).
% 7.99/1.55 fof(f314,plain,(
% 7.99/1.55 ![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))))),
% 7.99/1.55 inference(NNF_transformation,[status(thm)],[f313])).
% 7.99/1.55 fof(f315,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f314])).
% 7.99/1.55 fof(f316,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f314])).
% 7.99/1.55 fof(f319,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f82])).
% 7.99/1.55 fof(f320,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f319])).
% 7.99/1.55 fof(f321,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f320])).
% 7.99/1.55 fof(f322,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 7.99/1.55 fof(f323,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f322])).
% 7.99/1.55 fof(f324,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f323])).
% 7.99/1.55 fof(f325,plain,(
% 7.99/1.55 ![A,B]: (~in(A,B)|element(A,B))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 7.99/1.55 fof(f326,plain,(
% 7.99/1.55 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f325])).
% 7.99/1.55 fof(f327,plain,(
% 7.99/1.55 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 7.99/1.55 fof(f328,plain,(
% 7.99/1.55 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f327])).
% 7.99/1.55 fof(f329,plain,(
% 7.99/1.55 ![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)))))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f86])).
% 7.99/1.55 fof(f330,plain,(
% 7.99/1.55 ![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))))))))),
% 7.99/1.55 inference(NNF_transformation,[status(thm)],[f329])).
% 7.99/1.55 fof(f331,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f330])).
% 7.99/1.55 fof(f332,plain,(
% 7.99/1.55 ![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))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f330])).
% 7.99/1.55 fof(f333,plain,(
% 7.99/1.55 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 7.99/1.55 inference(NNF_transformation,[status(thm)],[f87])).
% 7.99/1.55 fof(f334,plain,(
% 7.99/1.55 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f333])).
% 7.99/1.55 fof(f335,plain,(
% 7.99/1.55 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f334])).
% 7.99/1.55 fof(f337,plain,(
% 7.99/1.55 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f88])).
% 7.99/1.55 fof(f338,plain,(
% 7.99/1.55 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f337])).
% 7.99/1.55 fof(f339,plain,(
% 7.99/1.55 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f338])).
% 7.99/1.55 fof(f340,plain,(
% 7.99/1.55 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f89])).
% 7.99/1.55 fof(f341,plain,(
% 7.99/1.55 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f340])).
% 7.99/1.55 fof(f342,plain,(
% 7.99/1.55 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f341])).
% 7.99/1.55 fof(f343,plain,(
% 7.99/1.55 ![A]: (~empty(A)|A=empty_set)),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f90])).
% 7.99/1.55 fof(f344,plain,(
% 7.99/1.55 ![X0]: (~empty(X0)|X0=empty_set)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f343])).
% 7.99/1.55 fof(f345,plain,(
% 7.99/1.55 ![A,B]: (~in(A,B)|~empty(B))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f91])).
% 7.99/1.55 fof(f346,plain,(
% 7.99/1.55 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 7.99/1.55 inference(miniscoping,[status(thm)],[f345])).
% 7.99/1.55 fof(f347,plain,(
% 7.99/1.55 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f346])).
% 7.99/1.55 fof(f348,plain,(
% 7.99/1.55 (?[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)))))))))),
% 7.99/1.55 inference(pre_NNF_transformation,[status(thm)],[f93])).
% 7.99/1.55 fof(f349,plain,(
% 7.99/1.55 ?[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)))))))))),
% 7.99/1.55 inference(NNF_transformation,[status(thm)],[f348])).
% 7.99/1.55 fof(f350,plain,(
% 7.99/1.55 (((~empty_carrier(sK19_skl)&lattice(sK19_skl))&latt_str(sK19_skl))&(element(sK20_skl,the_carrier(sK19_skl))&(element(sK21_skl,the_carrier(sK19_skl))&((below_refl(sK19_skl,sK20_skl,sK21_skl)|related_reflexive(poset_of_lattice(sK19_skl),cast_to_el_of_LattPOSet(sK19_skl,sK20_skl),cast_to_el_of_LattPOSet(sK19_skl,sK21_skl)))&(~below_refl(sK19_skl,sK20_skl,sK21_skl)|~related_reflexive(poset_of_lattice(sK19_skl),cast_to_el_of_LattPOSet(sK19_skl,sK20_skl),cast_to_el_of_LattPOSet(sK19_skl,sK21_skl)))))))),
% 7.99/1.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl,sK21_skl]),skolemize(A,sK19_skl),skolemize(B,sK20_skl),skolemize(C,sK21_skl)],[f349])).
% 7.99/1.55 fof(f351,plain,(
% 7.99/1.55 ~empty_carrier(sK19_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f350])).
% 7.99/1.55 fof(f352,plain,(
% 7.99/1.55 lattice(sK19_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f350])).
% 7.99/1.55 fof(f353,plain,(
% 7.99/1.55 latt_str(sK19_skl)),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f350])).
% 7.99/1.55 fof(f354,plain,(
% 7.99/1.55 element(sK20_skl,the_carrier(sK19_skl))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f350])).
% 7.99/1.55 fof(f355,plain,(
% 7.99/1.55 element(sK21_skl,the_carrier(sK19_skl))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f350])).
% 7.99/1.55 fof(f356,plain,(
% 7.99/1.55 below_refl(sK19_skl,sK20_skl,sK21_skl)|related_reflexive(poset_of_lattice(sK19_skl),cast_to_el_of_LattPOSet(sK19_skl,sK20_skl),cast_to_el_of_LattPOSet(sK19_skl,sK21_skl))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f350])).
% 7.99/1.55 fof(f357,plain,(
% 7.99/1.55 ~below_refl(sK19_skl,sK20_skl,sK21_skl)|~related_reflexive(poset_of_lattice(sK19_skl),cast_to_el_of_LattPOSet(sK19_skl,sK20_skl),cast_to_el_of_LattPOSet(sK19_skl,sK21_skl))),
% 7.99/1.55 inference(cnf_transformation,[status(thm)],[f350])).
% 7.99/1.55 fof(f361,definition,(
% 7.99/1.55 sQ0_spl <=> (below_refl(sK19_skl,sK20_skl,sK21_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f364,definition,(
% 7.99/1.55 sQ1_spl <=> (related_reflexive(poset_of_lattice(sK19_skl),cast_to_el_of_LattPOSet(sK19_skl,sK20_skl),cast_to_el_of_LattPOSet(sK19_skl,sK21_skl)))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f365,plain,(
% 7.99/1.55 related_reflexive(poset_of_lattice(sK19_skl),cast_to_el_of_LattPOSet(sK19_skl,sK20_skl),cast_to_el_of_LattPOSet(sK19_skl,sK21_skl))|~sQ1_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f364])).
% 7.99/1.55 fof(f366,plain,(
% 7.99/1.55 ~related_reflexive(poset_of_lattice(sK19_skl),cast_to_el_of_LattPOSet(sK19_skl,sK20_skl),cast_to_el_of_LattPOSet(sK19_skl,sK21_skl))|sQ1_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f364])).
% 7.99/1.55 fof(f367,plain,(
% 7.99/1.55 sQ0_spl|sQ1_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f356,f361,f364])).
% 7.99/1.55 fof(f368,plain,(
% 7.99/1.55 ~sQ0_spl|~sQ1_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f357,f361,f364])).
% 7.99/1.55 fof(f369,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(sK19_skl)|~lattice(sK19_skl)|~element(X0,the_carrier(sK19_skl))|cast_to_el_of_LattPOSet(sK19_skl,X0)=X0)),
% 7.99/1.55 inference(resolution,[status(thm)],[f119,f353])).
% 7.99/1.55 fof(f370,definition,(
% 7.99/1.55 sQ2_spl <=> (empty_carrier(sK19_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f371,plain,(
% 7.99/1.55 empty_carrier(sK19_skl)|~sQ2_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f370])).
% 7.99/1.55 fof(f373,definition,(
% 7.99/1.55 sQ3_spl <=> (lattice(sK19_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f375,plain,(
% 7.99/1.55 ~lattice(sK19_skl)|sQ3_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f373])).
% 7.99/1.55 fof(f376,definition,(
% 7.99/1.55 ![X0]: (sQ4_spl <=> (~element(X0,the_carrier(sK19_skl))|cast_to_el_of_LattPOSet(sK19_skl,X0)=X0))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f377,plain,(
% 7.99/1.55 ![X0]: (~element(X0,the_carrier(sK19_skl))|cast_to_el_of_LattPOSet(sK19_skl,X0)=X0|~sQ4_spl)),
% 7.99/1.55 inference(component_clause,[status(thm)],[f376])).
% 7.99/1.55 fof(f379,plain,(
% 7.99/1.55 sQ2_spl|~sQ3_spl|sQ4_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f369,f370,f373,f376])).
% 7.99/1.55 fof(f380,plain,(
% 7.99/1.55 cast_to_el_of_LattPOSet(sK19_skl,sK21_skl)=sK21_skl|~sQ4_spl),
% 7.99/1.55 inference(resolution,[status(thm)],[f377,f355])).
% 7.99/1.55 fof(f381,plain,(
% 7.99/1.55 cast_to_el_of_LattPOSet(sK19_skl,sK20_skl)=sK20_skl|~sQ4_spl),
% 7.99/1.55 inference(resolution,[status(thm)],[f377,f354])).
% 7.99/1.55 fof(f382,plain,(
% 7.99/1.55 ~related_reflexive(poset_of_lattice(sK19_skl),sK20_skl,cast_to_el_of_LattPOSet(sK19_skl,sK21_skl))|~sQ4_spl|sQ1_spl),
% 7.99/1.55 inference(forward_demodulation,[status(thm)],[f381,f366])).
% 7.99/1.55 fof(f383,plain,(
% 7.99/1.55 ~related_reflexive(poset_of_lattice(sK19_skl),sK20_skl,sK21_skl)|~sQ4_spl|sQ1_spl),
% 7.99/1.55 inference(forward_demodulation,[status(thm)],[f380,f382])).
% 7.99/1.55 fof(f384,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(sK19_skl)|~lattice(sK19_skl)|~element(X0,the_carrier(sK19_skl))|element(cast_to_el_of_LattPOSet(sK19_skl,X0),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.55 inference(resolution,[status(thm)],[f148,f353])).
% 7.99/1.55 fof(f385,definition,(
% 7.99/1.55 ![X0]: (sQ5_spl <=> (~element(X0,the_carrier(sK19_skl))|element(cast_to_el_of_LattPOSet(sK19_skl,X0),the_carrier(poset_of_lattice(sK19_skl)))))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f386,plain,(
% 7.99/1.55 ![X0]: (~element(X0,the_carrier(sK19_skl))|element(cast_to_el_of_LattPOSet(sK19_skl,X0),the_carrier(poset_of_lattice(sK19_skl)))|~sQ5_spl)),
% 7.99/1.55 inference(component_clause,[status(thm)],[f385])).
% 7.99/1.55 fof(f388,plain,(
% 7.99/1.55 sQ2_spl|~sQ3_spl|sQ5_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f384,f370,f373,f385])).
% 7.99/1.55 fof(f389,plain,(
% 7.99/1.55 $false|sQ3_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f375,f352])).
% 7.99/1.55 fof(f390,plain,(
% 7.99/1.55 sQ3_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f389])).
% 7.99/1.55 fof(f391,plain,(
% 7.99/1.55 $false|~sQ2_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f371,f351])).
% 7.99/1.55 fof(f392,plain,(
% 7.99/1.55 ~sQ2_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f391])).
% 7.99/1.55 fof(f409,plain,(
% 7.99/1.55 ![X0,X1]: (empty_carrier(sK11_skl)|~rel_str(sK11_skl)|~element(X0,the_carrier(sK11_skl))|~element(X1,the_carrier(sK11_skl))|related_reflexive(sK11_skl,X0,X0))),
% 7.99/1.55 inference(resolution,[status(thm)],[f266,f324])).
% 7.99/1.55 fof(f410,definition,(
% 7.99/1.55 sQ10_spl <=> (empty_carrier(sK11_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f411,plain,(
% 7.99/1.55 empty_carrier(sK11_skl)|~sQ10_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f410])).
% 7.99/1.55 fof(f413,definition,(
% 7.99/1.55 sQ11_spl <=> (rel_str(sK11_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f415,plain,(
% 7.99/1.55 ~rel_str(sK11_skl)|sQ11_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f413])).
% 7.99/1.55 fof(f416,definition,(
% 7.99/1.55 ![X0]: (sQ12_spl <=> (~element(X0,the_carrier(sK11_skl))|related_reflexive(sK11_skl,X0,X0)))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f417,plain,(
% 7.99/1.55 ![X0]: (~element(X0,the_carrier(sK11_skl))|related_reflexive(sK11_skl,X0,X0)|~sQ12_spl)),
% 7.99/1.55 inference(component_clause,[status(thm)],[f416])).
% 7.99/1.55 fof(f419,definition,(
% 7.99/1.55 ![X1]: (sQ13_spl <=> (~element(X1,the_carrier(sK11_skl))))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f420,plain,(
% 7.99/1.55 ![X0]: (~element(X0,the_carrier(sK11_skl))|~sQ13_spl)),
% 7.99/1.55 inference(component_clause,[status(thm)],[f419])).
% 7.99/1.55 fof(f422,plain,(
% 7.99/1.55 sQ10_spl|~sQ11_spl|sQ12_spl|sQ13_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f409,f410,f413,f416,f419])).
% 7.99/1.55 fof(f441,definition,(
% 7.99/1.55 sQ18_spl <=> (empty_carrier(sK17_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f442,plain,(
% 7.99/1.55 empty_carrier(sK17_skl)|~sQ18_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f441])).
% 7.99/1.55 fof(f455,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(sK18_skl)|~lattice(sK18_skl)|~element(X0,the_carrier(sK18_skl))|element(cast_to_el_of_LattPOSet(sK18_skl,X0),the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.55 inference(resolution,[status(thm)],[f289,f148])).
% 7.99/1.55 fof(f456,plain,(
% 7.99/1.55 ![X0]: (empty_carrier(sK18_skl)|~lattice(sK18_skl)|~element(X0,the_carrier(sK18_skl))|cast_to_el_of_LattPOSet(sK18_skl,X0)=X0)),
% 7.99/1.55 inference(resolution,[status(thm)],[f289,f119])).
% 7.99/1.55 fof(f457,definition,(
% 7.99/1.55 sQ22_spl <=> (empty_carrier(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f458,plain,(
% 7.99/1.55 empty_carrier(sK18_skl)|~sQ22_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f457])).
% 7.99/1.55 fof(f460,definition,(
% 7.99/1.55 sQ23_spl <=> (lattice(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f462,plain,(
% 7.99/1.55 ~lattice(sK18_skl)|sQ23_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f460])).
% 7.99/1.55 fof(f463,definition,(
% 7.99/1.55 ![X0]: (sQ24_spl <=> (~element(X0,the_carrier(sK18_skl))|element(cast_to_el_of_LattPOSet(sK18_skl,X0),the_carrier(poset_of_lattice(sK18_skl)))))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f464,plain,(
% 7.99/1.55 ![X0]: (~element(X0,the_carrier(sK18_skl))|element(cast_to_el_of_LattPOSet(sK18_skl,X0),the_carrier(poset_of_lattice(sK18_skl)))|~sQ24_spl)),
% 7.99/1.55 inference(component_clause,[status(thm)],[f463])).
% 7.99/1.55 fof(f466,plain,(
% 7.99/1.55 sQ22_spl|~sQ23_spl|sQ24_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f455,f457,f460,f463])).
% 7.99/1.55 fof(f467,definition,(
% 7.99/1.55 ![X0]: (sQ25_spl <=> (~element(X0,the_carrier(sK18_skl))|cast_to_el_of_LattPOSet(sK18_skl,X0)=X0))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f468,plain,(
% 7.99/1.55 ![X0]: (~element(X0,the_carrier(sK18_skl))|cast_to_el_of_LattPOSet(sK18_skl,X0)=X0|~sQ25_spl)),
% 7.99/1.55 inference(component_clause,[status(thm)],[f467])).
% 7.99/1.55 fof(f470,plain,(
% 7.99/1.55 sQ22_spl|~sQ23_spl|sQ25_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f456,f457,f460,f467])).
% 7.99/1.55 fof(f472,definition,(
% 7.99/1.55 sQ26_spl <=> (meet_absorbing(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f474,plain,(
% 7.99/1.55 ~meet_absorbing(sK18_skl)|sQ26_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f472])).
% 7.99/1.55 fof(f475,definition,(
% 7.99/1.55 sQ27_spl <=> (join_absorbing(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f477,plain,(
% 7.99/1.55 ~join_absorbing(sK18_skl)|sQ27_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f475])).
% 7.99/1.55 fof(f478,definition,(
% 7.99/1.55 sQ28_spl <=> (latt_str(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f480,plain,(
% 7.99/1.55 ~latt_str(sK18_skl)|sQ28_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f478])).
% 7.99/1.55 fof(f488,plain,(
% 7.99/1.55 $false|sQ28_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f480,f289])).
% 7.99/1.55 fof(f489,plain,(
% 7.99/1.55 sQ28_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f488])).
% 7.99/1.55 fof(f494,plain,(
% 7.99/1.55 ~element(sK20_skl,the_carrier(sK19_skl))|element(sK20_skl,the_carrier(poset_of_lattice(sK19_skl)))|~sQ5_spl|~sQ4_spl),
% 7.99/1.55 inference(paramodulation,[status(thm)],[f381,f386])).
% 7.99/1.55 fof(f495,plain,(
% 7.99/1.55 ~element(sK21_skl,the_carrier(sK19_skl))|element(sK21_skl,the_carrier(poset_of_lattice(sK19_skl)))|~sQ5_spl|~sQ4_spl),
% 7.99/1.55 inference(paramodulation,[status(thm)],[f380,f386])).
% 7.99/1.55 fof(f496,definition,(
% 7.99/1.55 sQ31_spl <=> (element(sK20_skl,the_carrier(sK19_skl)))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f498,plain,(
% 7.99/1.55 ~element(sK20_skl,the_carrier(sK19_skl))|sQ31_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f496])).
% 7.99/1.55 fof(f499,definition,(
% 7.99/1.55 sQ32_spl <=> (element(sK20_skl,the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f500,plain,(
% 7.99/1.55 element(sK20_skl,the_carrier(poset_of_lattice(sK19_skl)))|~sQ32_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f499])).
% 7.99/1.55 fof(f502,plain,(
% 7.99/1.55 ~sQ31_spl|sQ32_spl|~sQ5_spl|~sQ4_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f494,f496,f499,f385,f376])).
% 7.99/1.55 fof(f503,definition,(
% 7.99/1.55 sQ33_spl <=> (element(sK21_skl,the_carrier(sK19_skl)))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f505,plain,(
% 7.99/1.55 ~element(sK21_skl,the_carrier(sK19_skl))|sQ33_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f503])).
% 7.99/1.55 fof(f506,definition,(
% 7.99/1.55 sQ34_spl <=> (element(sK21_skl,the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f507,plain,(
% 7.99/1.55 element(sK21_skl,the_carrier(poset_of_lattice(sK19_skl)))|~sQ34_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f506])).
% 7.99/1.55 fof(f509,plain,(
% 7.99/1.55 ~sQ33_spl|sQ34_spl|~sQ5_spl|~sQ4_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f495,f503,f506,f385,f376])).
% 7.99/1.55 fof(f510,plain,(
% 7.99/1.55 $false|sQ31_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f498,f354])).
% 7.99/1.55 fof(f511,plain,(
% 7.99/1.55 sQ31_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f510])).
% 7.99/1.55 fof(f512,plain,(
% 7.99/1.55 $false|sQ33_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f505,f355])).
% 7.99/1.55 fof(f513,plain,(
% 7.99/1.55 sQ33_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f512])).
% 7.99/1.55 fof(f514,plain,(
% 7.99/1.55 $false|~sQ18_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f442,f286])).
% 7.99/1.55 fof(f515,plain,(
% 7.99/1.55 ~sQ18_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f514])).
% 7.99/1.55 fof(f516,plain,(
% 7.99/1.55 $false|~sQ22_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f458,f290])).
% 7.99/1.55 fof(f517,plain,(
% 7.99/1.55 ~sQ22_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f516])).
% 7.99/1.55 fof(f518,plain,(
% 7.99/1.55 $false|sQ26_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f474,f296])).
% 7.99/1.55 fof(f519,plain,(
% 7.99/1.55 sQ26_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f518])).
% 7.99/1.55 fof(f520,plain,(
% 7.99/1.55 $false|sQ27_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f297,f477])).
% 7.99/1.55 fof(f521,plain,(
% 7.99/1.55 sQ27_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f520])).
% 7.99/1.55 fof(f522,plain,(
% 7.99/1.55 $false|sQ23_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f298,f462])).
% 7.99/1.55 fof(f523,plain,(
% 7.99/1.55 sQ23_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f522])).
% 7.99/1.55 fof(f524,plain,(
% 7.99/1.55 join_semilatt_str(sK18_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f162,f289])).
% 7.99/1.55 fof(f528,plain,(
% 7.99/1.55 join_semilatt_str(sK19_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f162,f353])).
% 7.99/1.55 fof(f529,plain,(
% 7.99/1.55 ~latt_str(sK18_skl)|empty_carrier(sK18_skl)|join_commutative(sK18_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f103,f298])).
% 7.99/1.55 fof(f530,plain,(
% 7.99/1.55 ~latt_str(sK19_skl)|empty_carrier(sK19_skl)|join_commutative(sK19_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f103,f352])).
% 7.99/1.55 fof(f531,definition,(
% 7.99/1.55 sQ35_spl <=> (join_commutative(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f534,plain,(
% 7.99/1.55 ~sQ28_spl|sQ22_spl|sQ35_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f529,f478,f457,f531])).
% 7.99/1.55 fof(f535,definition,(
% 7.99/1.55 sQ36_spl <=> (latt_str(sK19_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f537,plain,(
% 7.99/1.55 ~latt_str(sK19_skl)|sQ36_spl),
% 7.99/1.55 inference(component_clause,[status(thm)],[f535])).
% 7.99/1.55 fof(f538,definition,(
% 7.99/1.55 sQ37_spl <=> (join_commutative(sK19_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f541,plain,(
% 7.99/1.55 ~sQ36_spl|sQ2_spl|sQ37_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f530,f535,f370,f538])).
% 7.99/1.55 fof(f542,plain,(
% 7.99/1.55 $false|sQ36_spl),
% 7.99/1.55 inference(forward_subsumption_resolution,[status(thm)],[f537,f353])).
% 7.99/1.55 fof(f543,plain,(
% 7.99/1.55 sQ36_spl),
% 7.99/1.55 inference(contradiction_clause,[status(thm)],[f542])).
% 7.99/1.55 fof(f544,plain,(
% 7.99/1.55 ~latt_str(sK18_skl)|empty_carrier(sK18_skl)|join_associative(sK18_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f104,f298])).
% 7.99/1.55 fof(f545,plain,(
% 7.99/1.55 ~latt_str(sK19_skl)|empty_carrier(sK19_skl)|join_associative(sK19_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f104,f352])).
% 7.99/1.55 fof(f546,definition,(
% 7.99/1.55 sQ38_spl <=> (join_associative(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f549,plain,(
% 7.99/1.55 ~sQ28_spl|sQ22_spl|sQ38_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f544,f478,f457,f546])).
% 7.99/1.55 fof(f550,definition,(
% 7.99/1.55 sQ39_spl <=> (join_associative(sK19_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f553,plain,(
% 7.99/1.55 ~sQ36_spl|sQ2_spl|sQ39_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f545,f535,f370,f550])).
% 7.99/1.55 fof(f554,plain,(
% 7.99/1.55 ~latt_str(sK18_skl)|empty_carrier(sK18_skl)|meet_commutative(sK18_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f105,f298])).
% 7.99/1.55 fof(f555,plain,(
% 7.99/1.55 ~latt_str(sK19_skl)|empty_carrier(sK19_skl)|meet_commutative(sK19_skl)),
% 7.99/1.55 inference(resolution,[status(thm)],[f105,f352])).
% 7.99/1.55 fof(f556,definition,(
% 7.99/1.55 sQ40_spl <=> (meet_commutative(sK18_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f559,plain,(
% 7.99/1.55 ~sQ28_spl|sQ22_spl|sQ40_spl),
% 7.99/1.55 inference(split_clause,[status(thm)],[f554,f478,f457,f556])).
% 7.99/1.55 fof(f560,definition,(
% 7.99/1.55 sQ41_spl <=> (meet_commutative(sK19_skl))),
% 7.99/1.55 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 7.99/1.55 fof(f561,plain,(
% 7.99/1.57 meet_commutative(sK19_skl)|~sQ41_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f560])).
% 7.99/1.57 fof(f563,plain,(
% 7.99/1.57 ~sQ36_spl|sQ2_spl|sQ41_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f555,f535,f370,f560])).
% 7.99/1.57 fof(f564,plain,(
% 7.99/1.57 ![X0,X1]: (empty_carrier(sK19_skl)|~meet_absorbing(sK19_skl)|~join_absorbing(sK19_skl)|~latt_str(sK19_skl)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|below_refl(sK19_skl,X0,X0)|~sQ41_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f561,f321])).
% 7.99/1.57 fof(f565,definition,(
% 7.99/1.57 sQ42_spl <=> (meet_absorbing(sK19_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f568,definition,(
% 7.99/1.57 sQ43_spl <=> (join_absorbing(sK19_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f571,definition,(
% 7.99/1.57 ![X0]: (sQ44_spl <=> (~element(X0,the_carrier(sK19_skl))|below_refl(sK19_skl,X0,X0)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f572,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|below_refl(sK19_skl,X0,X0)|~sQ44_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f571])).
% 7.99/1.57 fof(f574,definition,(
% 7.99/1.57 ![X1]: (sQ45_spl <=> (~element(X1,the_carrier(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f575,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|~sQ45_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f574])).
% 7.99/1.57 fof(f577,plain,(
% 7.99/1.57 sQ2_spl|~sQ42_spl|~sQ43_spl|~sQ36_spl|sQ44_spl|sQ45_spl|~sQ41_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f564,f370,f565,f568,f535,f571,f574,f560])).
% 7.99/1.57 fof(f578,plain,(
% 7.99/1.57 ~latt_str(sK18_skl)|empty_carrier(sK18_skl)|meet_associative(sK18_skl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f106,f298])).
% 7.99/1.57 fof(f579,plain,(
% 7.99/1.57 ~latt_str(sK19_skl)|empty_carrier(sK19_skl)|meet_associative(sK19_skl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f106,f352])).
% 7.99/1.57 fof(f580,definition,(
% 7.99/1.57 sQ46_spl <=> (meet_associative(sK18_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f583,plain,(
% 7.99/1.57 ~sQ28_spl|sQ22_spl|sQ46_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f578,f478,f457,f580])).
% 7.99/1.57 fof(f584,definition,(
% 7.99/1.57 sQ47_spl <=> (meet_associative(sK19_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f587,plain,(
% 7.99/1.57 ~sQ36_spl|sQ2_spl|sQ47_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f579,f535,f370,f584])).
% 7.99/1.57 fof(f589,plain,(
% 7.99/1.57 ~latt_str(sK19_skl)|empty_carrier(sK19_skl)|meet_absorbing(sK19_skl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f107,f352])).
% 7.99/1.57 fof(f591,plain,(
% 7.99/1.57 ~sQ36_spl|sQ2_spl|sQ42_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f589,f535,f370,f565])).
% 7.99/1.57 fof(f593,plain,(
% 7.99/1.57 ~latt_str(sK19_skl)|empty_carrier(sK19_skl)|join_absorbing(sK19_skl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f108,f352])).
% 7.99/1.57 fof(f595,plain,(
% 7.99/1.57 ~sQ36_spl|sQ2_spl|sQ43_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f593,f535,f370,f568])).
% 7.99/1.57 fof(f596,plain,(
% 7.99/1.57 $false|~sQ45_spl),
% 7.99/1.57 inference(backward_subsumption_resolution,[status(thm)],[f355,f575])).
% 7.99/1.57 fof(f598,plain,(
% 7.99/1.57 ~sQ45_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f596])).
% 7.99/1.57 fof(f605,plain,(
% 7.99/1.57 ![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))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f142,f96])).
% 7.99/1.57 fof(f606,plain,(
% 7.99/1.57 ![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))))),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f605,f146])).
% 7.99/1.57 fof(f607,plain,(
% 7.99/1.57 ![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))),
% 7.99/1.57 inference(resolution,[status(thm)],[f143,f324])).
% 7.99/1.57 fof(f608,plain,(
% 7.99/1.57 ![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))),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f607,f233])).
% 7.99/1.57 fof(f609,plain,(
% 7.99/1.57 ![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))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f150,f98])).
% 7.99/1.57 fof(f610,plain,(
% 7.99/1.57 ![X0,X1]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1)|join_semilatt_str(k8_filter_1(X0,X1)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f151,f162])).
% 7.99/1.57 fof(f613,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~latt_str(sK18_skl)|poset_of_lattice(sK18_skl)=rel_str_of(the_carrier(sK18_skl),k2_lattice3(sK18_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f117,f298])).
% 7.99/1.57 fof(f614,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~latt_str(sK19_skl)|poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(sK19_skl),k2_lattice3(sK19_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f117,f352])).
% 7.99/1.57 fof(f615,definition,(
% 7.99/1.57 sQ48_spl <=> (poset_of_lattice(sK18_skl)=rel_str_of(the_carrier(sK18_skl),k2_lattice3(sK18_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f616,plain,(
% 7.99/1.57 poset_of_lattice(sK18_skl)=rel_str_of(the_carrier(sK18_skl),k2_lattice3(sK18_skl))|~sQ48_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f615])).
% 7.99/1.57 fof(f618,plain,(
% 7.99/1.57 sQ22_spl|~sQ28_spl|sQ48_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f613,f457,f478,f615])).
% 7.99/1.57 fof(f619,definition,(
% 7.99/1.57 sQ49_spl <=> (poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(sK19_skl),k2_lattice3(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f620,plain,(
% 7.99/1.57 poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(sK19_skl),k2_lattice3(sK19_skl))|~sQ49_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f619])).
% 7.99/1.57 fof(f622,plain,(
% 7.99/1.57 sQ2_spl|~sQ36_spl|sQ49_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f614,f370,f535,f619])).
% 7.99/1.57 fof(f623,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~latt_str(sK18_skl)|poset_of_lattice(sK18_skl)=rel_str_of(the_carrier(poset_of_lattice(sK18_skl)),the_InternalRel(poset_of_lattice(sK18_skl)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f606,f298])).
% 7.99/1.57 fof(f624,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~latt_str(sK19_skl)|poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),the_InternalRel(poset_of_lattice(sK19_skl)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f606,f352])).
% 7.99/1.57 fof(f625,definition,(
% 7.99/1.57 sQ50_spl <=> (poset_of_lattice(sK18_skl)=rel_str_of(the_carrier(poset_of_lattice(sK18_skl)),the_InternalRel(poset_of_lattice(sK18_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f626,plain,(
% 7.99/1.57 poset_of_lattice(sK18_skl)=rel_str_of(the_carrier(poset_of_lattice(sK18_skl)),the_InternalRel(poset_of_lattice(sK18_skl)))|~sQ50_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f625])).
% 7.99/1.57 fof(f628,plain,(
% 7.99/1.57 sQ22_spl|~sQ28_spl|sQ50_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f623,f457,f478,f625])).
% 7.99/1.57 fof(f629,definition,(
% 7.99/1.57 sQ51_spl <=> (poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),the_InternalRel(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f630,plain,(
% 7.99/1.57 poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),the_InternalRel(poset_of_lattice(sK19_skl)))|~sQ51_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f629])).
% 7.99/1.57 fof(f632,plain,(
% 7.99/1.57 sQ2_spl|~sQ36_spl|sQ51_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f624,f370,f535,f629])).
% 7.99/1.57 fof(f641,plain,(
% 7.99/1.57 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(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))),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f608,f146])).
% 7.99/1.57 fof(f646,plain,(
% 7.99/1.57 ![X0,X1,X2]: (empty_carrier(poset_of_lattice(X0))|~reflexive_relstr(poset_of_lattice(X0))|~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|~element(X1,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X1,X1)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|~element(X2,the_carrier(poset_of_lattice(X0))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f315,f641])).
% 7.99/1.57 fof(f647,plain,(
% 7.99/1.57 ![X0,X1,X2]: (empty_carrier(poset_of_lattice(X0))|~reflexive_relstr(poset_of_lattice(X0))|~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X1,X1)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X2,the_carrier(poset_of_lattice(X0))))),
% 7.99/1.57 inference(duplicate_literals_removal,[status(thm)],[f646])).
% 7.99/1.57 fof(f648,plain,(
% 7.99/1.57 ![X0,X1,X2]: (~reflexive_relstr(poset_of_lattice(X0))|~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X1,X1)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X2,the_carrier(poset_of_lattice(X0))))),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f647,f233])).
% 7.99/1.57 fof(f649,plain,(
% 7.99/1.57 ![X0,X1,X2]: (~rel_str(poset_of_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(X0)))|related(poset_of_lattice(X0),X1,X1)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X2,the_carrier(poset_of_lattice(X0))))),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f648,f143])).
% 7.99/1.57 fof(f650,plain,(
% 7.99/1.57 ~rel_str(sK8_skl)|sK8_skl=rel_str_of(the_carrier(sK8_skl),the_InternalRel(sK8_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f255,f96])).
% 7.99/1.57 fof(f651,definition,(
% 7.99/1.57 sQ52_spl <=> (rel_str(sK8_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f653,plain,(
% 7.99/1.57 ~rel_str(sK8_skl)|sQ52_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f651])).
% 7.99/1.57 fof(f654,definition,(
% 7.99/1.57 sQ53_spl <=> (sK8_skl=rel_str_of(the_carrier(sK8_skl),the_InternalRel(sK8_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f655,plain,(
% 7.99/1.57 sK8_skl=rel_str_of(the_carrier(sK8_skl),the_InternalRel(sK8_skl))|~sQ53_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f654])).
% 7.99/1.57 fof(f657,plain,(
% 7.99/1.57 ~sQ52_spl|sQ53_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f650,f651,f654])).
% 7.99/1.57 fof(f658,plain,(
% 7.99/1.57 $false|sQ52_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f653,f254])).
% 7.99/1.57 fof(f659,plain,(
% 7.99/1.57 sQ52_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f658])).
% 7.99/1.57 fof(f660,plain,(
% 7.99/1.57 ~rel_str(sK11_skl)|sK11_skl=rel_str_of(the_carrier(sK11_skl),the_InternalRel(sK11_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f265,f96])).
% 7.99/1.57 fof(f661,definition,(
% 7.99/1.57 sQ54_spl <=> (sK11_skl=rel_str_of(the_carrier(sK11_skl),the_InternalRel(sK11_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f662,plain,(
% 7.99/1.57 sK11_skl=rel_str_of(the_carrier(sK11_skl),the_InternalRel(sK11_skl))|~sQ54_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f661])).
% 7.99/1.57 fof(f664,plain,(
% 7.99/1.57 ~sQ11_spl|sQ54_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f660,f413,f661])).
% 7.99/1.57 fof(f665,plain,(
% 7.99/1.57 $false|sQ11_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f415,f263])).
% 7.99/1.57 fof(f666,plain,(
% 7.99/1.57 sQ11_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f665])).
% 7.99/1.57 fof(f667,plain,(
% 7.99/1.57 ~latt_str(sK14_skl)|sK14_skl=latt_str_of(the_carrier(sK14_skl),the_L_join(sK14_skl),the_L_meet(sK14_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f276,f98])).
% 7.99/1.57 fof(f668,definition,(
% 7.99/1.57 sQ55_spl <=> (latt_str(sK14_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f670,plain,(
% 7.99/1.57 ~latt_str(sK14_skl)|sQ55_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f668])).
% 7.99/1.57 fof(f671,definition,(
% 7.99/1.57 sQ56_spl <=> (sK14_skl=latt_str_of(the_carrier(sK14_skl),the_L_join(sK14_skl),the_L_meet(sK14_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f674,plain,(
% 7.99/1.57 ~sQ55_spl|sQ56_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f667,f668,f671])).
% 7.99/1.57 fof(f675,plain,(
% 7.99/1.57 $false|sQ55_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f670,f275])).
% 7.99/1.57 fof(f676,plain,(
% 7.99/1.57 sQ55_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f675])).
% 7.99/1.57 fof(f677,plain,(
% 7.99/1.57 ~latt_str(sK17_skl)|sK17_skl=latt_str_of(the_carrier(sK17_skl),the_L_join(sK17_skl),the_L_meet(sK17_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f287,f98])).
% 7.99/1.57 fof(f678,definition,(
% 7.99/1.57 sQ57_spl <=> (latt_str(sK17_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f680,plain,(
% 7.99/1.57 ~latt_str(sK17_skl)|sQ57_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f678])).
% 7.99/1.57 fof(f681,definition,(
% 7.99/1.57 sQ58_spl <=> (sK17_skl=latt_str_of(the_carrier(sK17_skl),the_L_join(sK17_skl),the_L_meet(sK17_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f684,plain,(
% 7.99/1.57 ~sQ57_spl|sQ58_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f677,f678,f681])).
% 7.99/1.57 fof(f685,plain,(
% 7.99/1.57 $false|sQ57_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f680,f285])).
% 7.99/1.57 fof(f686,plain,(
% 7.99/1.57 sQ57_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f685])).
% 7.99/1.57 fof(f687,plain,(
% 7.99/1.57 ~latt_str(sK18_skl)|sK18_skl=latt_str_of(the_carrier(sK18_skl),the_L_join(sK18_skl),the_L_meet(sK18_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f291,f98])).
% 7.99/1.57 fof(f688,definition,(
% 7.99/1.57 sQ59_spl <=> (sK18_skl=latt_str_of(the_carrier(sK18_skl),the_L_join(sK18_skl),the_L_meet(sK18_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f691,plain,(
% 7.99/1.57 ~sQ28_spl|sQ59_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f687,f478,f688])).
% 7.99/1.57 fof(f696,plain,(
% 7.99/1.57 ![X0,X1]: (empty_carrier(sK19_skl)|~meet_absorbing(sK19_skl)|~join_absorbing(sK19_skl)|~latt_str(sK19_skl)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,X1)|below(sK19_skl,X0,X1)|~sQ41_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f311,f561])).
% 7.99/1.57 fof(f697,plain,(
% 7.99/1.57 ![X0,X1]: (empty_carrier(sK18_skl)|~meet_absorbing(sK18_skl)|~join_absorbing(sK18_skl)|~latt_str(sK18_skl)|~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK18_skl))|~below_refl(sK18_skl,X0,X1)|below(sK18_skl,X0,X1))),
% 7.99/1.57 inference(resolution,[status(thm)],[f311,f294])).
% 7.99/1.57 fof(f698,definition,(
% 7.99/1.57 ![X0,X1]: (sQ60_spl <=> (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,X1)|below(sK19_skl,X0,X1)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f699,plain,(
% 7.99/1.57 ![X0,X1]: (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,X1)|below(sK19_skl,X0,X1)|~sQ60_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f698])).
% 7.99/1.57 fof(f701,plain,(
% 7.99/1.57 sQ2_spl|~sQ42_spl|~sQ43_spl|~sQ36_spl|sQ60_spl|~sQ41_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f696,f370,f565,f568,f535,f698,f560])).
% 7.99/1.57 fof(f702,definition,(
% 7.99/1.57 ![X0,X1]: (sQ61_spl <=> (~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK18_skl))|~below_refl(sK18_skl,X0,X1)|below(sK18_skl,X0,X1)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f705,plain,(
% 7.99/1.57 sQ22_spl|~sQ26_spl|~sQ27_spl|~sQ28_spl|sQ61_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f697,f457,f472,f475,f478,f702])).
% 7.99/1.57 fof(f706,plain,(
% 7.99/1.57 ![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)))|~rel_str(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))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f123,f649])).
% 7.99/1.57 fof(f707,plain,(
% 7.99/1.57 ![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))))),
% 7.99/1.57 inference(duplicate_literals_removal,[status(thm)],[f706])).
% 7.99/1.57 fof(f708,plain,(
% 7.99/1.57 ![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))))),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f707,f146])).
% 7.99/1.57 fof(f709,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK21_skl)|below(sK19_skl,X0,sK21_skl)|~sQ60_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f699,f355])).
% 7.99/1.57 fof(f710,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK20_skl)|below(sK19_skl,X0,sK20_skl)|~sQ60_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f699,f354])).
% 7.99/1.57 fof(f711,plain,(
% 7.99/1.57 ~below_refl(sK19_skl,sK21_skl,sK21_skl)|below(sK19_skl,sK21_skl,sK21_skl)|~sQ60_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f709,f355])).
% 7.99/1.57 fof(f713,definition,(
% 7.99/1.57 sQ62_spl <=> (below_refl(sK19_skl,sK21_skl,sK21_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f714,plain,(
% 7.99/1.57 below_refl(sK19_skl,sK21_skl,sK21_skl)|~sQ62_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f713])).
% 7.99/1.57 fof(f715,plain,(
% 7.99/1.57 ~below_refl(sK19_skl,sK21_skl,sK21_skl)|sQ62_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f713])).
% 7.99/1.57 fof(f716,definition,(
% 7.99/1.57 sQ63_spl <=> (below(sK19_skl,sK21_skl,sK21_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f719,plain,(
% 7.99/1.57 ~sQ62_spl|sQ63_spl|~sQ60_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f711,f713,f716,f698])).
% 7.99/1.57 fof(f724,plain,(
% 7.99/1.57 related_reflexive(poset_of_lattice(sK19_skl),sK20_skl,cast_to_el_of_LattPOSet(sK19_skl,sK21_skl))|~sQ4_spl|~sQ1_spl),
% 7.99/1.57 inference(forward_demodulation,[status(thm)],[f381,f365])).
% 7.99/1.57 fof(f725,plain,(
% 7.99/1.57 related_reflexive(poset_of_lattice(sK19_skl),sK20_skl,sK21_skl)|~sQ4_spl|~sQ1_spl),
% 7.99/1.57 inference(forward_demodulation,[status(thm)],[f380,f724])).
% 7.99/1.57 fof(f726,plain,(
% 7.99/1.57 ~element(sK21_skl,the_carrier(sK19_skl))|sQ62_spl|~sQ44_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f715,f572])).
% 7.99/1.57 fof(f727,plain,(
% 7.99/1.57 ~sQ33_spl|sQ62_spl|~sQ44_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f726,f503,f713,f571])).
% 7.99/1.57 fof(f728,plain,(
% 7.99/1.57 empty_carrier(poset_of_lattice(sK19_skl))|~reflexive_relstr(poset_of_lattice(sK19_skl))|~rel_str(poset_of_lattice(sK19_skl))|~element(sK20_skl,the_carrier(poset_of_lattice(sK19_skl)))|~element(sK21_skl,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),sK20_skl,sK21_skl)|~sQ4_spl|~sQ1_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f725,f315])).
% 7.99/1.57 fof(f729,definition,(
% 7.99/1.57 sQ65_spl <=> (empty_carrier(poset_of_lattice(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f730,plain,(
% 7.99/1.57 empty_carrier(poset_of_lattice(sK19_skl))|~sQ65_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f729])).
% 7.99/1.57 fof(f732,definition,(
% 7.99/1.57 sQ66_spl <=> (reflexive_relstr(poset_of_lattice(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f733,plain,(
% 7.99/1.57 reflexive_relstr(poset_of_lattice(sK19_skl))|~sQ66_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f732])).
% 7.99/1.57 fof(f734,plain,(
% 7.99/1.57 ~reflexive_relstr(poset_of_lattice(sK19_skl))|sQ66_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f732])).
% 7.99/1.57 fof(f735,definition,(
% 7.99/1.57 sQ67_spl <=> (rel_str(poset_of_lattice(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f736,plain,(
% 7.99/1.57 rel_str(poset_of_lattice(sK19_skl))|~sQ67_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f735])).
% 7.99/1.57 fof(f737,plain,(
% 7.99/1.57 ~rel_str(poset_of_lattice(sK19_skl))|sQ67_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f735])).
% 7.99/1.57 fof(f738,definition,(
% 7.99/1.57 sQ68_spl <=> (related(poset_of_lattice(sK19_skl),sK20_skl,sK21_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f739,plain,(
% 7.99/1.57 related(poset_of_lattice(sK19_skl),sK20_skl,sK21_skl)|~sQ68_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f738])).
% 7.99/1.57 fof(f741,plain,(
% 7.99/1.57 sQ65_spl|~sQ66_spl|~sQ67_spl|~sQ32_spl|~sQ34_spl|sQ68_spl|~sQ4_spl|~sQ1_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f728,f729,f732,f735,f499,f506,f738,f376,f364])).
% 7.99/1.57 fof(f742,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|sQ67_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f737,f146])).
% 7.99/1.57 fof(f743,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ67_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f742,f370,f373,f535,f735])).
% 7.99/1.57 fof(f744,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|sQ66_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f734,f143])).
% 7.99/1.57 fof(f745,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ66_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f744,f370,f373,f535,f732])).
% 7.99/1.57 fof(f746,plain,(
% 7.99/1.57 ![X0,X1]: (empty_carrier(poset_of_lattice(sK19_skl))|~rel_str(poset_of_lattice(sK19_skl))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X1,the_carrier(poset_of_lattice(sK19_skl)))|related_reflexive(poset_of_lattice(sK19_skl),X0,X0)|~sQ66_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f733,f324])).
% 7.99/1.57 fof(f747,definition,(
% 7.99/1.57 ![X0]: (sQ69_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|related_reflexive(poset_of_lattice(sK19_skl),X0,X0)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f748,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|related_reflexive(poset_of_lattice(sK19_skl),X0,X0)|~sQ69_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f747])).
% 7.99/1.57 fof(f750,definition,(
% 7.99/1.57 ![X1]: (sQ70_spl <=> (~element(X1,the_carrier(poset_of_lattice(sK19_skl)))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f751,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~sQ70_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f750])).
% 7.99/1.57 fof(f753,plain,(
% 7.99/1.57 sQ65_spl|~sQ67_spl|sQ69_spl|sQ70_spl|~sQ66_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f746,f729,f735,f747,f750,f732])).
% 7.99/1.57 fof(f754,plain,(
% 7.99/1.57 ~rel_str(poset_of_lattice(sK19_skl))|~element(sK20_skl,the_carrier(poset_of_lattice(sK19_skl)))|~element(sK21_skl,the_carrier(poset_of_lattice(sK19_skl)))|in(ordered_pair(sK20_skl,sK21_skl),the_InternalRel(poset_of_lattice(sK19_skl)))|~sQ68_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f739,f123])).
% 7.99/1.57 fof(f755,definition,(
% 7.99/1.57 sQ71_spl <=> (in(ordered_pair(sK20_skl,sK21_skl),the_InternalRel(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f756,plain,(
% 7.99/1.57 in(ordered_pair(sK20_skl,sK21_skl),the_InternalRel(poset_of_lattice(sK19_skl)))|~sQ71_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f755])).
% 7.99/1.57 fof(f757,plain,(
% 7.99/1.57 ~in(ordered_pair(sK20_skl,sK21_skl),the_InternalRel(poset_of_lattice(sK19_skl)))|sQ71_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f755])).
% 7.99/1.57 fof(f758,plain,(
% 7.99/1.57 ~sQ67_spl|~sQ32_spl|~sQ34_spl|sQ71_spl|~sQ68_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f754,f735,f499,f506,f755,f738])).
% 7.99/1.57 fof(f759,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~sQ65_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f730,f233])).
% 7.99/1.57 fof(f760,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ65_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f759,f370,f373,f535,f729])).
% 7.99/1.57 fof(f764,plain,(
% 7.99/1.57 one_sorted_str(sK11_skl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f157,f263])).
% 7.99/1.57 fof(f767,plain,(
% 7.99/1.57 one_sorted_str(poset_of_lattice(sK19_skl))|~sQ67_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f157,f736])).
% 7.99/1.57 fof(f770,plain,(
% 7.99/1.57 $false|~sQ70_spl|~sQ34_spl),
% 7.99/1.57 inference(backward_subsumption_resolution,[status(thm)],[f507,f751])).
% 7.99/1.57 fof(f773,plain,(
% 7.99/1.57 ~sQ70_spl|~sQ34_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f770])).
% 7.99/1.57 fof(f774,plain,(
% 7.99/1.57 ~rel_str(poset_of_lattice(sK19_skl))|~element(sK20_skl,the_carrier(poset_of_lattice(sK19_skl)))|~element(sK21_skl,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),sK20_skl,sK21_skl)|~sQ71_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f756,f124])).
% 7.99/1.57 fof(f775,plain,(
% 7.99/1.57 element(ordered_pair(sK20_skl,sK21_skl),the_InternalRel(poset_of_lattice(sK19_skl)))|~sQ71_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f756,f326])).
% 7.99/1.57 fof(f777,plain,(
% 7.99/1.57 ~sQ67_spl|~sQ32_spl|~sQ34_spl|sQ68_spl|~sQ71_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f774,f735,f499,f506,f738,f755])).
% 7.99/1.57 fof(f782,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|empty_carrier(poset_of_lattice(sK19_skl))|~reflexive_relstr(poset_of_lattice(sK19_skl))|~rel_str(poset_of_lattice(sK19_skl))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),X0,X0)|~sQ69_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f748,f315])).
% 7.99/1.57 fof(f783,definition,(
% 7.99/1.57 ![X0]: (sQ72_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),X0,X0)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f784,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),X0,X0)|~sQ72_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f783])).
% 7.99/1.57 fof(f786,plain,(
% 7.99/1.57 sQ72_spl|sQ65_spl|~sQ66_spl|~sQ67_spl|~sQ69_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f782,f783,f729,f732,f735,f747])).
% 7.99/1.57 fof(f787,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),X0,X0)|~sQ72_spl)),
% 7.99/1.57 inference(duplicate_literals_removal,[status(thm)],[f784])).
% 7.99/1.57 fof(f788,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~rel_str(poset_of_lattice(sK19_skl))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK19_skl)))|~sQ72_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f787,f123])).
% 7.99/1.57 fof(f789,definition,(
% 7.99/1.57 ![X0]: (sQ73_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK19_skl)))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f792,plain,(
% 7.99/1.57 sQ73_spl|~sQ67_spl|~sQ72_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f788,f789,f735,f783])).
% 7.99/1.57 fof(f794,plain,(
% 7.99/1.57 ~element(sK20_skl,the_carrier(sK19_skl))|below(sK19_skl,sK20_skl,sK20_skl)|~element(sK20_skl,the_carrier(sK19_skl))|~sQ60_spl|~sQ44_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f710,f572])).
% 7.99/1.57 fof(f795,definition,(
% 7.99/1.57 sQ74_spl <=> (below(sK19_skl,sK20_skl,sK20_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f798,plain,(
% 7.99/1.57 ~sQ31_spl|sQ74_spl|~sQ60_spl|~sQ44_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f794,f496,f795,f698,f571])).
% 7.99/1.57 fof(f803,plain,(
% 7.99/1.57 ![X0,X1]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK18_skl)))|empty_carrier(sK18_skl)|~latt_str(sK18_skl)|~element(X1,the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f708,f298])).
% 7.99/1.57 fof(f804,plain,(
% 7.99/1.57 ![X0,X1]: (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK19_skl)))|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|~element(X1,the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f708,f352])).
% 7.99/1.57 fof(f805,definition,(
% 7.99/1.57 ![X0]: (sQ75_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK18_skl)))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f806,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK18_skl)))|~sQ75_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f805])).
% 7.99/1.57 fof(f808,definition,(
% 7.99/1.57 ![X1]: (sQ76_spl <=> (~element(X1,the_carrier(poset_of_lattice(sK18_skl)))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f809,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~sQ76_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f808])).
% 7.99/1.57 fof(f811,plain,(
% 7.99/1.57 sQ75_spl|sQ22_spl|~sQ28_spl|sQ76_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f803,f805,f457,f478,f808])).
% 7.99/1.57 fof(f812,definition,(
% 7.99/1.57 ![X0]: (sQ77_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK19_skl)))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f815,plain,(
% 7.99/1.57 sQ77_spl|sQ2_spl|~sQ36_spl|sQ70_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f804,f812,f370,f535,f750])).
% 7.99/1.57 fof(f819,plain,(
% 7.99/1.57 one_sorted_str(sK18_skl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f159,f524])).
% 7.99/1.57 fof(f822,plain,(
% 7.99/1.57 one_sorted_str(sK19_skl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f159,f528])).
% 7.99/1.57 fof(f823,plain,(
% 7.99/1.57 ![X0,X1]: (meet_semilatt_str(k8_filter_1(X0,X1))|empty_carrier(X0)|~latt_str(X0)|empty_carrier(X1)|~latt_str(X1))),
% 7.99/1.57 inference(resolution,[status(thm)],[f161,f151])).
% 7.99/1.57 fof(f836,plain,(
% 7.99/1.57 $false|~sQ76_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f188,f809])).
% 7.99/1.57 fof(f839,plain,(
% 7.99/1.57 $false|~sQ13_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f188,f420])).
% 7.99/1.57 fof(f842,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK6_skl(the_carrier(sK19_skl)))|below(sK19_skl,X0,sK6_skl(the_carrier(sK19_skl)))|~sQ60_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f188,f699])).
% 7.99/1.57 fof(f843,plain,(
% 7.99/1.57 cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(the_carrier(sK19_skl)))=sK6_skl(the_carrier(sK19_skl))|~sQ4_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f188,f377])).
% 7.99/1.57 fof(f844,plain,(
% 7.99/1.57 ~sQ76_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f836])).
% 7.99/1.57 fof(f845,plain,(
% 7.99/1.57 ~sQ13_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f839])).
% 7.99/1.57 fof(f853,plain,(
% 7.99/1.57 $false|~sQ10_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f411,f264])).
% 7.99/1.57 fof(f854,plain,(
% 7.99/1.57 ~sQ10_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f853])).
% 7.99/1.57 fof(f855,plain,(
% 7.99/1.57 ~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|element(sK6_skl(the_carrier(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)))|~sQ5_spl|~sQ4_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f843,f386])).
% 7.99/1.57 fof(f856,definition,(
% 7.99/1.57 sQ80_spl <=> (element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f858,plain,(
% 7.99/1.57 ~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|sQ80_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f856])).
% 7.99/1.57 fof(f859,definition,(
% 7.99/1.57 sQ81_spl <=> (element(sK6_skl(the_carrier(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f860,plain,(
% 7.99/1.57 element(sK6_skl(the_carrier(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)))|~sQ81_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f859])).
% 7.99/1.57 fof(f862,plain,(
% 7.99/1.57 ~sQ80_spl|sQ81_spl|~sQ5_spl|~sQ4_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f855,f856,f859,f385,f376])).
% 7.99/1.57 fof(f863,plain,(
% 7.99/1.57 $false|sQ80_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f858,f188])).
% 7.99/1.57 fof(f864,plain,(
% 7.99/1.57 sQ80_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f863])).
% 7.99/1.57 fof(f865,plain,(
% 7.99/1.57 ~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|below(sK19_skl,sK6_skl(the_carrier(sK19_skl)),sK6_skl(the_carrier(sK19_skl)))|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|~sQ60_spl|~sQ44_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f842,f572])).
% 7.99/1.57 fof(f866,definition,(
% 7.99/1.57 sQ82_spl <=> (below(sK19_skl,sK6_skl(the_carrier(sK19_skl)),sK6_skl(the_carrier(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f869,plain,(
% 7.99/1.57 ~sQ80_spl|sQ82_spl|~sQ60_spl|~sQ44_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f865,f856,f866,f698,f571])).
% 7.99/1.57 fof(f870,plain,(
% 7.99/1.57 cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(the_carrier(sK18_skl)))=sK6_skl(the_carrier(sK18_skl))|~sQ25_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f468,f188])).
% 7.99/1.57 fof(f871,plain,(
% 7.99/1.57 related_reflexive(sK11_skl,sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl)))|~sQ12_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f417,f188])).
% 7.99/1.57 fof(f872,plain,(
% 7.99/1.57 empty_carrier(sK11_skl)|~reflexive_relstr(sK11_skl)|~rel_str(sK11_skl)|~element(sK6_skl(the_carrier(sK11_skl)),the_carrier(sK11_skl))|~element(sK6_skl(the_carrier(sK11_skl)),the_carrier(sK11_skl))|related(sK11_skl,sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl)))|~sQ12_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f871,f315])).
% 7.99/1.57 fof(f873,definition,(
% 7.99/1.57 sQ83_spl <=> (reflexive_relstr(sK11_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f875,plain,(
% 7.99/1.57 ~reflexive_relstr(sK11_skl)|sQ83_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f873])).
% 7.99/1.57 fof(f876,definition,(
% 7.99/1.57 sQ84_spl <=> (element(sK6_skl(the_carrier(sK11_skl)),the_carrier(sK11_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f878,plain,(
% 7.99/1.57 ~element(sK6_skl(the_carrier(sK11_skl)),the_carrier(sK11_skl))|sQ84_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f876])).
% 7.99/1.57 fof(f879,definition,(
% 7.99/1.57 sQ85_spl <=> (related(sK11_skl,sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f880,plain,(
% 7.99/1.57 related(sK11_skl,sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl)))|~sQ85_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f879])).
% 7.99/1.57 fof(f882,plain,(
% 7.99/1.57 sQ10_spl|~sQ83_spl|~sQ11_spl|~sQ84_spl|sQ85_spl|~sQ12_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f872,f410,f873,f413,f876,f879,f416])).
% 7.99/1.57 fof(f883,plain,(
% 7.99/1.57 ~rel_str(sK11_skl)|~element(sK6_skl(the_carrier(sK11_skl)),the_carrier(sK11_skl))|~element(sK6_skl(the_carrier(sK11_skl)),the_carrier(sK11_skl))|in(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),the_InternalRel(sK11_skl))|~sQ85_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f880,f123])).
% 7.99/1.57 fof(f884,definition,(
% 7.99/1.57 sQ86_spl <=> (in(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),the_InternalRel(sK11_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f885,plain,(
% 7.99/1.57 in(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),the_InternalRel(sK11_skl))|~sQ86_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f884])).
% 7.99/1.57 fof(f887,plain,(
% 7.99/1.57 ~sQ11_spl|~sQ84_spl|sQ86_spl|~sQ85_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f883,f413,f876,f884,f879])).
% 7.99/1.57 fof(f888,plain,(
% 7.99/1.57 $false|sQ84_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f878,f188])).
% 7.99/1.57 fof(f889,plain,(
% 7.99/1.57 sQ84_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f888])).
% 7.99/1.57 fof(f890,plain,(
% 7.99/1.57 $false|sQ83_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f875,f266])).
% 7.99/1.57 fof(f891,plain,(
% 7.99/1.57 sQ83_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f890])).
% 7.99/1.57 fof(f894,plain,(
% 7.99/1.57 ~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|element(sK6_skl(the_carrier(sK18_skl)),the_carrier(poset_of_lattice(sK18_skl)))|~sQ24_spl|~sQ25_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f870,f464])).
% 7.99/1.57 fof(f895,definition,(
% 7.99/1.57 sQ87_spl <=> (element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f897,plain,(
% 7.99/1.57 ~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|sQ87_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f895])).
% 7.99/1.57 fof(f898,definition,(
% 7.99/1.57 sQ88_spl <=> (element(sK6_skl(the_carrier(sK18_skl)),the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f899,plain,(
% 7.99/1.57 element(sK6_skl(the_carrier(sK18_skl)),the_carrier(poset_of_lattice(sK18_skl)))|~sQ88_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f898])).
% 7.99/1.57 fof(f901,plain,(
% 7.99/1.57 ~sQ87_spl|sQ88_spl|~sQ24_spl|~sQ25_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f894,f895,f898,f463,f467])).
% 7.99/1.57 fof(f902,plain,(
% 7.99/1.57 $false|sQ87_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f897,f188])).
% 7.99/1.57 fof(f903,plain,(
% 7.99/1.57 sQ87_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f902])).
% 7.99/1.57 fof(f912,plain,(
% 7.99/1.57 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(sK18_skl)|~latt_str(sK18_skl)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sK18_skl))|k10_filter_1(X0,sK18_skl,X1,X2)=ordered_pair(X1,X2))),
% 7.99/1.57 inference(resolution,[status(thm)],[f300,f298])).
% 7.99/1.57 fof(f913,plain,(
% 7.99/1.57 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sK19_skl))|k10_filter_1(X0,sK19_skl,X1,X2)=ordered_pair(X1,X2))),
% 7.99/1.57 inference(resolution,[status(thm)],[f300,f352])).
% 7.99/1.57 fof(f914,definition,(
% 7.99/1.57 ![X0,X1,X2]: (sQ89_spl <=> (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sK18_skl))|k10_filter_1(X0,sK18_skl,X1,X2)=ordered_pair(X1,X2)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f917,plain,(
% 7.99/1.57 sQ89_spl|sQ22_spl|~sQ28_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f912,f914,f457,f478])).
% 7.99/1.57 fof(f918,definition,(
% 7.99/1.57 ![X0,X1,X2]: (sQ90_spl <=> (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sK19_skl))|k10_filter_1(X0,sK19_skl,X1,X2)=ordered_pair(X1,X2)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f919,plain,(
% 7.99/1.57 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(sK19_skl))|k10_filter_1(X0,sK19_skl,X1,X2)=ordered_pair(X1,X2)|~sQ90_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f918])).
% 7.99/1.57 fof(f921,plain,(
% 7.99/1.57 sQ90_spl|sQ2_spl|~sQ36_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f913,f918,f370,f535])).
% 7.99/1.57 fof(f922,plain,(
% 7.99/1.57 ![X0]: (~in(X0,empty_set))),
% 7.99/1.57 inference(resolution,[status(thm)],[f347,f197])).
% 7.99/1.57 fof(f931,plain,(
% 7.99/1.57 ![X0,X1]: (empty_carrier(sK18_skl)|~latt_str(sK18_skl)|~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,X0,X1)=ordered_pair(X0,X1)|~sQ90_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f919,f298])).
% 7.99/1.57 fof(f932,plain,(
% 7.99/1.57 ![X0,X1]: (empty_carrier(sK19_skl)|~latt_str(sK19_skl)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,X1)=ordered_pair(X0,X1)|~sQ90_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f919,f352])).
% 7.99/1.57 fof(f933,definition,(
% 7.99/1.57 ![X0,X1]: (sQ91_spl <=> (~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,X0,X1)=ordered_pair(X0,X1)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f934,plain,(
% 7.99/1.57 ![X0,X1]: (~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,X0,X1)=ordered_pair(X0,X1)|~sQ91_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f933])).
% 7.99/1.57 fof(f936,plain,(
% 7.99/1.57 sQ22_spl|~sQ28_spl|sQ91_spl|~sQ90_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f931,f457,f478,f933,f918])).
% 7.99/1.57 fof(f937,definition,(
% 7.99/1.57 ![X0,X1]: (sQ92_spl <=> (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,X1)=ordered_pair(X0,X1)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f938,plain,(
% 7.99/1.57 ![X0,X1]: (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,X1)=ordered_pair(X0,X1)|~sQ92_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f937])).
% 7.99/1.57 fof(f940,plain,(
% 7.99/1.57 sQ2_spl|~sQ36_spl|sQ92_spl|~sQ90_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f932,f370,f535,f937,f918])).
% 7.99/1.57 fof(f941,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),X0)=ordered_pair(sK6_skl(the_carrier(sK18_skl)),X0)|~sQ91_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f934,f188])).
% 7.99/1.57 fof(f942,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK6_skl(the_carrier(sK19_skl)))=ordered_pair(X0,sK6_skl(the_carrier(sK19_skl)))|~sQ92_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f938,f188])).
% 7.99/1.57 fof(f943,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK21_skl)=ordered_pair(X0,sK21_skl)|~sQ92_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f938,f355])).
% 7.99/1.57 fof(f944,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK20_skl)=ordered_pair(X0,sK20_skl)|~sQ92_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f938,f354])).
% 7.99/1.57 fof(f945,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(the_carrier(sK19_skl)),sK21_skl)=ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK21_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f943,f188])).
% 7.99/1.57 fof(f946,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK21_skl,sK21_skl)=ordered_pair(sK21_skl,sK21_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f943,f355])).
% 7.99/1.57 fof(f947,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK20_skl,sK21_skl)=ordered_pair(sK20_skl,sK21_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f943,f354])).
% 7.99/1.57 fof(f948,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK21_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(sK21_skl,sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f946,f132])).
% 7.99/1.57 fof(f949,definition,(
% 7.99/1.57 sQ93_spl <=> (element(ordered_pair(sK21_skl,sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f952,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ33_spl|sQ93_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f948,f370,f373,f535,f503,f949,f937])).
% 7.99/1.57 fof(f953,plain,(
% 7.99/1.57 k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK19_skl)))|~sQ91_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f941,f188])).
% 7.99/1.57 fof(f954,plain,(
% 7.99/1.57 k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK21_skl)=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK21_skl)|~sQ91_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f941,f355])).
% 7.99/1.57 fof(f955,plain,(
% 7.99/1.57 k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK20_skl)=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK20_skl)|~sQ91_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f941,f354])).
% 7.99/1.57 fof(f956,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(sK20_skl,sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f947,f132])).
% 7.99/1.57 fof(f957,definition,(
% 7.99/1.57 sQ94_spl <=> (element(ordered_pair(sK20_skl,sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f960,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ31_spl|~sQ33_spl|sQ94_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f956,f370,f373,f535,f496,f503,f957,f937])).
% 7.99/1.57 fof(f962,plain,(
% 7.99/1.57 element(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),the_InternalRel(sK11_skl))|~sQ86_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f885,f326])).
% 7.99/1.57 fof(f965,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~rel_str(poset_of_lattice(sK18_skl))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|related(poset_of_lattice(sK18_skl),X0,X0)|~sQ75_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f806,f124])).
% 7.99/1.57 fof(f966,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|element(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK18_skl)))|~sQ75_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f806,f326])).
% 7.99/1.57 fof(f968,definition,(
% 7.99/1.57 ![X0]: (sQ95_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|related(poset_of_lattice(sK18_skl),X0,X0)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f969,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|related(poset_of_lattice(sK18_skl),X0,X0)|~sQ95_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f968])).
% 7.99/1.57 fof(f971,definition,(
% 7.99/1.57 sQ96_spl <=> (rel_str(poset_of_lattice(sK18_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f972,plain,(
% 7.99/1.57 rel_str(poset_of_lattice(sK18_skl))|~sQ96_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f971])).
% 7.99/1.57 fof(f973,plain,(
% 7.99/1.57 ~rel_str(poset_of_lattice(sK18_skl))|sQ96_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f971])).
% 7.99/1.57 fof(f974,plain,(
% 7.99/1.57 sQ95_spl|~sQ96_spl|~sQ75_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f965,f968,f971,f805])).
% 7.99/1.57 fof(f975,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|related(poset_of_lattice(sK18_skl),X0,X0)|~sQ95_spl)),
% 7.99/1.57 inference(duplicate_literals_removal,[status(thm)],[f969])).
% 7.99/1.57 fof(f976,plain,(
% 7.99/1.57 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~rel_str(poset_of_lattice(sK18_skl))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK18_skl)))|~sQ95_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f975,f123])).
% 7.99/1.57 fof(f977,definition,(
% 7.99/1.57 ![X0]: (sQ97_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|in(ordered_pair(X0,X0),the_InternalRel(poset_of_lattice(sK18_skl)))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f980,plain,(
% 7.99/1.57 sQ97_spl|~sQ96_spl|~sQ95_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f976,f977,f971,f968])).
% 7.99/1.57 fof(f981,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|sQ96_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f973,f146])).
% 7.99/1.57 fof(f982,plain,(
% 7.99/1.57 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ96_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f981,f457,f460,f478,f971])).
% 7.99/1.57 fof(f984,plain,(
% 7.99/1.57 one_sorted_str(poset_of_lattice(sK18_skl))|~sQ96_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f972,f157])).
% 7.99/1.57 fof(f985,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(the_carrier(sK19_skl)),sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK6_skl(the_carrier(sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f942,f188])).
% 7.99/1.57 fof(f986,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK21_skl,sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK21_skl,sK6_skl(the_carrier(sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f942,f355])).
% 7.99/1.57 fof(f987,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK20_skl,sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK20_skl,sK6_skl(the_carrier(sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f942,f354])).
% 7.99/1.57 fof(f988,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(the_carrier(sK19_skl)),sK20_skl)=ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK20_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f944,f188])).
% 7.99/1.57 fof(f989,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK21_skl,sK20_skl)=ordered_pair(sK21_skl,sK20_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f944,f355])).
% 7.99/1.57 fof(f990,plain,(
% 7.99/1.57 k10_filter_1(sK19_skl,sK19_skl,sK20_skl,sK20_skl)=ordered_pair(sK20_skl,sK20_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f944,f354])).
% 7.99/1.57 fof(f991,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK21_skl,the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|element(ordered_pair(sK21_skl,sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f989,f132])).
% 7.99/1.57 fof(f992,definition,(
% 7.99/1.57 sQ98_spl <=> (element(ordered_pair(sK21_skl,sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f995,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ33_spl|~sQ31_spl|sQ98_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f991,f370,f373,f535,f503,f496,f992,f937])).
% 7.99/1.57 fof(f996,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|element(ordered_pair(sK20_skl,sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f990,f132])).
% 7.99/1.57 fof(f997,definition,(
% 7.99/1.57 sQ99_spl <=> (element(ordered_pair(sK20_skl,sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1000,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ31_spl|sQ99_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f996,f370,f373,f535,f496,f997,f937])).
% 7.99/1.57 fof(f1001,plain,(
% 7.99/1.57 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|~below_refl(X0,X1,X2)|element(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f332,f326])).
% 7.99/1.57 fof(f1016,plain,(
% 7.99/1.57 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation(X0))),
% 7.99/1.57 inference(resolution,[status(thm)],[f164,f111])).
% 7.99/1.57 fof(f1017,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f945,f132])).
% 7.99/1.57 fof(f1018,definition,(
% 7.99/1.57 sQ100_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1021,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ80_spl|~sQ33_spl|sQ100_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1017,f370,f373,f535,f856,f503,f1018,f937])).
% 7.99/1.57 fof(f1022,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK21_skl),the_carrier(k8_filter_1(sK18_skl,sK19_skl)))|~sQ91_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f954,f132])).
% 7.99/1.57 fof(f1023,definition,(
% 7.99/1.57 sQ101_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK21_skl),the_carrier(k8_filter_1(sK18_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1026,plain,(
% 7.99/1.57 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ87_spl|~sQ33_spl|sQ101_spl|~sQ91_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1022,f457,f460,f478,f370,f373,f535,f895,f503,f1023,f933])).
% 7.99/1.57 fof(f1027,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK18_skl,sK19_skl)))|~sQ91_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f953,f132])).
% 7.99/1.57 fof(f1028,definition,(
% 7.99/1.57 sQ102_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK18_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1031,plain,(
% 7.99/1.57 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ87_spl|~sQ80_spl|sQ102_spl|~sQ91_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1027,f457,f460,f478,f370,f373,f535,f895,f856,f1028,f933])).
% 7.99/1.57 fof(f1034,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|~element(sK20_skl,the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK20_skl),the_carrier(k8_filter_1(sK18_skl,sK19_skl)))|~sQ91_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f955,f132])).
% 7.99/1.57 fof(f1035,definition,(
% 7.99/1.57 sQ103_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK20_skl),the_carrier(k8_filter_1(sK18_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1038,plain,(
% 7.99/1.57 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ87_spl|~sQ31_spl|sQ103_spl|~sQ91_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1034,f457,f460,f478,f370,f373,f535,f895,f496,f1035,f933])).
% 7.99/1.57 fof(f1039,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK21_skl,the_carrier(sK19_skl))|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|element(ordered_pair(sK21_skl,sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f986,f132])).
% 7.99/1.57 fof(f1040,definition,(
% 7.99/1.57 sQ104_spl <=> (element(ordered_pair(sK21_skl,sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1043,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ33_spl|~sQ80_spl|sQ104_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1039,f370,f373,f535,f503,f856,f1040,f937])).
% 7.99/1.57 fof(f1044,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|element(ordered_pair(sK20_skl,sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f987,f132])).
% 7.99/1.57 fof(f1045,definition,(
% 7.99/1.57 sQ105_spl <=> (element(ordered_pair(sK20_skl,sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1048,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ31_spl|~sQ80_spl|sQ105_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1044,f370,f373,f535,f496,f856,f1045,f937])).
% 7.99/1.57 fof(f1049,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f985,f132])).
% 7.99/1.57 fof(f1050,definition,(
% 7.99/1.57 sQ106_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1053,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ80_spl|sQ106_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1049,f370,f373,f535,f856,f1050,f937])).
% 7.99/1.57 fof(f1054,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f988,f132])).
% 7.99/1.57 fof(f1055,definition,(
% 7.99/1.57 sQ107_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1058,plain,(
% 7.99/1.57 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ80_spl|~sQ31_spl|sQ107_spl|~sQ92_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1054,f370,f373,f535,f856,f496,f1055,f937])).
% 7.99/1.57 fof(f1061,plain,(
% 7.99/1.57 ![X0]: (relation(k2_lattice3(X0))|empty_carrier(X0)|~lattice(X0)|~latt_str(X0))),
% 7.99/1.57 inference(resolution,[status(thm)],[f1016,f140])).
% 7.99/1.57 fof(f1077,plain,(
% 7.99/1.57 ![X0]: (~rel_str(X0)|relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f170,f307])).
% 7.99/1.57 fof(f1080,plain,(
% 7.99/1.57 empty(the_carrier(poset_of_lattice(sK18_skl)))|in(sK6_skl(the_carrier(sK18_skl)),the_carrier(poset_of_lattice(sK18_skl)))|~sQ88_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f899])).
% 7.99/1.57 fof(f1081,plain,(
% 7.99/1.57 empty(the_carrier(poset_of_lattice(sK19_skl)))|in(sK6_skl(the_carrier(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)))|~sQ81_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f860])).
% 7.99/1.57 fof(f1082,plain,(
% 7.99/1.57 ![X0]: (empty(X0)|in(sK6_skl(X0),X0))),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f188])).
% 7.99/1.57 fof(f1102,plain,(
% 7.99/1.57 ![X0]: (empty(the_carrier(poset_of_lattice(sK18_skl)))|in(cast_to_el_of_LattPOSet(sK18_skl,X0),the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(sK18_skl))|~sQ24_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f464])).
% 7.99/1.57 fof(f1103,plain,(
% 7.99/1.57 ![X0]: (empty(the_carrier(poset_of_lattice(sK19_skl)))|in(cast_to_el_of_LattPOSet(sK19_skl,X0),the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(sK19_skl))|~sQ5_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f386])).
% 7.99/1.57 fof(f1104,plain,(
% 7.99/1.57 empty(the_carrier(poset_of_lattice(sK19_skl)))|in(sK21_skl,the_carrier(poset_of_lattice(sK19_skl)))|~sQ34_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f507])).
% 7.99/1.57 fof(f1105,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|in(sK21_skl,the_carrier(sK19_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f355])).
% 7.99/1.57 fof(f1106,plain,(
% 7.99/1.57 empty(the_carrier(poset_of_lattice(sK19_skl)))|in(sK20_skl,the_carrier(poset_of_lattice(sK19_skl)))|~sQ32_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f500])).
% 7.99/1.57 fof(f1107,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|in(sK20_skl,the_carrier(sK19_skl))),
% 7.99/1.57 inference(resolution,[status(thm)],[f328,f354])).
% 7.99/1.57 fof(f1112,definition,(
% 7.99/1.57 sQ108_spl <=> (empty(the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1113,plain,(
% 7.99/1.57 empty(the_carrier(poset_of_lattice(sK18_skl)))|~sQ108_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1112])).
% 7.99/1.57 fof(f1115,definition,(
% 7.99/1.57 sQ109_spl <=> (in(sK6_skl(the_carrier(sK18_skl)),the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1118,plain,(
% 7.99/1.57 sQ108_spl|sQ109_spl|~sQ88_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1080,f1112,f1115,f898])).
% 7.99/1.57 fof(f1119,definition,(
% 7.99/1.57 sQ110_spl <=> (empty(the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1120,plain,(
% 7.99/1.57 empty(the_carrier(poset_of_lattice(sK19_skl)))|~sQ110_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1119])).
% 7.99/1.57 fof(f1122,definition,(
% 7.99/1.57 sQ111_spl <=> (in(sK6_skl(the_carrier(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1125,plain,(
% 7.99/1.57 sQ110_spl|sQ111_spl|~sQ81_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1081,f1119,f1122,f859])).
% 7.99/1.57 fof(f1156,definition,(
% 7.99/1.57 sQ120_spl <=> (empty(the_InternalRel(sK11_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1157,plain,(
% 7.99/1.57 empty(the_InternalRel(sK11_skl))|~sQ120_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1156])).
% 7.99/1.57 fof(f1188,definition,(
% 7.99/1.57 sQ128_spl <=> (empty(the_InternalRel(poset_of_lattice(sK18_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1193,definition,(
% 7.99/1.57 ![X0]: (sQ129_spl <=> (in(cast_to_el_of_LattPOSet(sK18_skl,X0),the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(sK18_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1194,plain,(
% 7.99/1.57 ![X0]: (in(cast_to_el_of_LattPOSet(sK18_skl,X0),the_carrier(poset_of_lattice(sK18_skl)))|~element(X0,the_carrier(sK18_skl))|~sQ129_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1193])).
% 7.99/1.57 fof(f1196,plain,(
% 7.99/1.57 sQ108_spl|sQ129_spl|~sQ24_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1102,f1112,f1193,f463])).
% 7.99/1.57 fof(f1197,definition,(
% 7.99/1.57 ![X0]: (sQ130_spl <=> (in(cast_to_el_of_LattPOSet(sK19_skl,X0),the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1198,plain,(
% 7.99/1.57 ![X0]: (in(cast_to_el_of_LattPOSet(sK19_skl,X0),the_carrier(poset_of_lattice(sK19_skl)))|~element(X0,the_carrier(sK19_skl))|~sQ130_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1197])).
% 7.99/1.57 fof(f1200,plain,(
% 7.99/1.57 sQ110_spl|sQ130_spl|~sQ5_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1103,f1119,f1197,f385])).
% 7.99/1.57 fof(f1201,definition,(
% 7.99/1.57 sQ131_spl <=> (in(sK21_skl,the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1204,plain,(
% 7.99/1.57 sQ110_spl|sQ131_spl|~sQ34_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1104,f1119,f1201,f506])).
% 7.99/1.57 fof(f1205,definition,(
% 7.99/1.57 sQ132_spl <=> (empty(the_carrier(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1206,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|~sQ132_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1205])).
% 7.99/1.57 fof(f1208,definition,(
% 7.99/1.57 sQ133_spl <=> (in(sK21_skl,the_carrier(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1211,plain,(
% 7.99/1.57 sQ132_spl|sQ133_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1105,f1205,f1208])).
% 7.99/1.57 fof(f1212,definition,(
% 7.99/1.57 sQ134_spl <=> (in(sK20_skl,the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1215,plain,(
% 7.99/1.57 sQ110_spl|sQ134_spl|~sQ32_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1106,f1119,f1212,f499])).
% 7.99/1.57 fof(f1216,definition,(
% 7.99/1.57 sQ135_spl <=> (in(sK20_skl,the_carrier(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1219,plain,(
% 7.99/1.57 sQ132_spl|sQ135_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1107,f1205,f1216])).
% 7.99/1.57 fof(f1222,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~one_sorted_str(sK19_skl)|~sQ132_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1206,f195])).
% 7.99/1.57 fof(f1226,definition,(
% 7.99/1.57 sQ136_spl <=> (one_sorted_str(sK19_skl))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1228,plain,(
% 7.99/1.57 ~one_sorted_str(sK19_skl)|sQ136_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1226])).
% 7.99/1.57 fof(f1229,plain,(
% 7.99/1.57 sQ2_spl|~sQ136_spl|~sQ132_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1222,f370,f1226,f1205])).
% 7.99/1.57 fof(f1230,plain,(
% 7.99/1.57 $false|sQ136_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f1228,f822])).
% 7.99/1.57 fof(f1231,plain,(
% 7.99/1.57 sQ136_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f1230])).
% 7.99/1.57 fof(f1232,plain,(
% 7.99/1.57 empty_carrier(poset_of_lattice(sK19_skl))|~one_sorted_str(poset_of_lattice(sK19_skl))|~sQ110_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1120,f195])).
% 7.99/1.57 fof(f1236,definition,(
% 7.99/1.57 sQ137_spl <=> (one_sorted_str(poset_of_lattice(sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1238,plain,(
% 7.99/1.57 ~one_sorted_str(poset_of_lattice(sK19_skl))|sQ137_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1236])).
% 7.99/1.57 fof(f1239,plain,(
% 7.99/1.57 sQ65_spl|~sQ137_spl|~sQ110_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1232,f729,f1236,f1119])).
% 7.99/1.57 fof(f1240,plain,(
% 7.99/1.57 empty_carrier(poset_of_lattice(sK18_skl))|~one_sorted_str(poset_of_lattice(sK18_skl))|~sQ108_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1113,f195])).
% 7.99/1.57 fof(f1244,definition,(
% 7.99/1.57 sQ138_spl <=> (empty_carrier(poset_of_lattice(sK18_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1245,plain,(
% 7.99/1.57 empty_carrier(poset_of_lattice(sK18_skl))|~sQ138_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1244])).
% 7.99/1.57 fof(f1247,definition,(
% 7.99/1.57 sQ139_spl <=> (one_sorted_str(poset_of_lattice(sK18_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1249,plain,(
% 7.99/1.57 ~one_sorted_str(poset_of_lattice(sK18_skl))|sQ139_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1247])).
% 7.99/1.57 fof(f1250,plain,(
% 7.99/1.57 sQ138_spl|~sQ139_spl|~sQ108_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1240,f1244,f1247,f1112])).
% 7.99/1.57 fof(f1251,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|~sQ138_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1245,f233])).
% 7.99/1.57 fof(f1252,plain,(
% 7.99/1.57 sQ22_spl|~sQ23_spl|~sQ28_spl|~sQ138_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1251,f457,f460,f478,f1244])).
% 7.99/1.57 fof(f1253,plain,(
% 7.99/1.57 $false|~sQ96_spl|sQ139_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f1249,f984])).
% 7.99/1.57 fof(f1254,plain,(
% 7.99/1.57 ~sQ96_spl|sQ139_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f1253])).
% 7.99/1.57 fof(f1271,plain,(
% 7.99/1.57 ![X0]: (empty(X0)|~in(X0,sK6_skl(X0)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f1082,f100])).
% 7.99/1.57 fof(f1342,definition,(
% 7.99/1.57 sQ145_spl <=> (join_semilatt_str(k8_filter_1(sK19_skl,sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1344,plain,(
% 7.99/1.57 ~join_semilatt_str(k8_filter_1(sK19_skl,sK19_skl))|sQ145_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1342])).
% 7.99/1.57 fof(f1380,definition,(
% 7.99/1.57 sQ155_spl <=> (meet_semilatt_str(k8_filter_1(sK19_skl,sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1382,plain,(
% 7.99/1.57 ~meet_semilatt_str(k8_filter_1(sK19_skl,sK19_skl))|sQ155_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1380])).
% 7.99/1.57 fof(f1414,definition,(
% 7.99/1.57 sQ164_spl <=> (latt_str(k8_filter_1(sK19_skl,sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1416,plain,(
% 7.99/1.57 ~latt_str(k8_filter_1(sK19_skl,sK19_skl))|sQ164_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1414])).
% 7.99/1.57 fof(f1449,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|sQ164_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1416,f151])).
% 7.99/1.57 fof(f1450,plain,(
% 7.99/1.57 sQ2_spl|~sQ36_spl|sQ164_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1449,f370,f535,f1414])).
% 7.99/1.57 fof(f1451,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|sQ145_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1344,f610])).
% 7.99/1.57 fof(f1452,plain,(
% 7.99/1.57 sQ2_spl|~sQ36_spl|sQ145_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1451,f370,f535,f1342])).
% 7.99/1.57 fof(f1453,plain,(
% 7.99/1.57 empty_carrier(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|sQ155_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1382,f823])).
% 7.99/1.57 fof(f1454,plain,(
% 7.99/1.57 sQ2_spl|~sQ36_spl|sQ155_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1453,f370,f535,f1380])).
% 7.99/1.57 fof(f1503,definition,(
% 7.99/1.57 sQ176_spl <=> (join_semilatt_str(k8_filter_1(sK18_skl,sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1505,plain,(
% 7.99/1.57 ~join_semilatt_str(k8_filter_1(sK18_skl,sK19_skl))|sQ176_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1503])).
% 7.99/1.57 fof(f1541,definition,(
% 7.99/1.57 sQ186_spl <=> (meet_semilatt_str(k8_filter_1(sK18_skl,sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1543,plain,(
% 7.99/1.57 ~meet_semilatt_str(k8_filter_1(sK18_skl,sK19_skl))|sQ186_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1541])).
% 7.99/1.57 fof(f1572,definition,(
% 7.99/1.57 sQ194_spl <=> (latt_str(k8_filter_1(sK18_skl,sK19_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1574,plain,(
% 7.99/1.57 ~latt_str(k8_filter_1(sK18_skl,sK19_skl))|sQ194_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1572])).
% 7.99/1.57 fof(f1607,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~latt_str(sK18_skl)|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|sQ194_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1574,f151])).
% 7.99/1.57 fof(f1608,plain,(
% 7.99/1.57 sQ22_spl|~sQ28_spl|sQ2_spl|~sQ36_spl|sQ194_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1607,f457,f478,f370,f535,f1572])).
% 7.99/1.57 fof(f1611,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~latt_str(sK18_skl)|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|sQ176_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1505,f610])).
% 7.99/1.57 fof(f1612,plain,(
% 7.99/1.57 sQ22_spl|~sQ28_spl|sQ2_spl|~sQ36_spl|sQ176_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1611,f457,f478,f370,f535,f1503])).
% 7.99/1.57 fof(f1613,plain,(
% 7.99/1.57 empty_carrier(sK18_skl)|~latt_str(sK18_skl)|empty_carrier(sK19_skl)|~latt_str(sK19_skl)|sQ186_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1543,f823])).
% 7.99/1.57 fof(f1614,plain,(
% 7.99/1.57 sQ22_spl|~sQ28_spl|sQ2_spl|~sQ36_spl|sQ186_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1613,f457,f478,f370,f535,f1541])).
% 7.99/1.57 fof(f1658,plain,(
% 7.99/1.57 ![X0,X1]: (~in(X0,X1)|~element(X1,powerset(empty_set)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f342,f197])).
% 7.99/1.57 fof(f1661,plain,(
% 7.99/1.57 ![X0]: (~in(X0,sK6_skl(powerset(empty_set))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f1658,f188])).
% 7.99/1.57 fof(f1704,definition,(
% 7.99/1.57 sQ206_spl <=> (in(powerset(empty_set),empty_set))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1708,definition,(
% 7.99/1.57 sQ207_spl <=> (in(empty_set,powerset(empty_set)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1716,definition,(
% 7.99/1.57 sQ209_spl <=> (element(empty_set,powerset(empty_set)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1721,plain,(
% 7.99/1.57 empty(sK6_skl(powerset(empty_set)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f1661,f1082])).
% 7.99/1.57 fof(f1725,plain,(
% 7.99/1.57 sK6_skl(powerset(empty_set))=empty_set),
% 7.99/1.57 inference(resolution,[status(thm)],[f1721,f344])).
% 7.99/1.57 fof(f1729,plain,(
% 7.99/1.57 empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f1725,f1271])).
% 7.99/1.57 fof(f1730,plain,(
% 7.99/1.57 empty(powerset(empty_set))|in(empty_set,powerset(empty_set))),
% 7.99/1.57 inference(paramodulation,[status(thm)],[f1725,f1082])).
% 7.99/1.57 fof(f1732,definition,(
% 7.99/1.57 sQ210_spl <=> (empty(powerset(empty_set)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1733,plain,(
% 7.99/1.57 empty(powerset(empty_set))|~sQ210_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1732])).
% 7.99/1.57 fof(f1735,plain,(
% 7.99/1.57 sQ210_spl|~sQ206_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1729,f1732,f1704])).
% 7.99/1.57 fof(f1736,plain,(
% 7.99/1.57 sQ210_spl|sQ207_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1730,f1732,f1708])).
% 7.99/1.57 fof(f1737,plain,(
% 7.99/1.57 $false|~sQ210_spl),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f1733,f196])).
% 7.99/1.57 fof(f1738,plain,(
% 7.99/1.57 ~sQ210_spl),
% 7.99/1.57 inference(contradiction_clause,[status(thm)],[f1737])).
% 7.99/1.57 fof(f1756,plain,(
% 7.99/1.57 ![X0,X1]: (~in(X0,sK9_skl(X1))|element(X0,X1)|empty(X1))),
% 7.99/1.57 inference(resolution,[status(thm)],[f339,f258])).
% 7.99/1.57 fof(f1770,plain,(
% 7.99/1.57 ![X0]: (element(sK6_skl(sK9_skl(X0)),X0)|empty(X0)|empty(sK9_skl(X0)))),
% 7.99/1.57 inference(resolution,[status(thm)],[f1756,f1082])).
% 7.99/1.57 fof(f1771,plain,(
% 7.99/1.57 ![X0]: (element(sK6_skl(sK9_skl(X0)),X0)|empty(X0))),
% 7.99/1.57 inference(forward_subsumption_resolution,[status(thm)],[f1770,f259])).
% 7.99/1.57 fof(f1772,plain,(
% 7.99/1.57 ![X0]: (empty(powerset(empty_set))|~in(X0,sK6_skl(sK9_skl(powerset(empty_set)))))),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f1658])).
% 7.99/1.57 fof(f1776,plain,(
% 7.99/1.57 empty(the_carrier(sK11_skl))|related_reflexive(sK11_skl,sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK6_skl(sK9_skl(the_carrier(sK11_skl))))|~sQ12_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f417])).
% 7.99/1.57 fof(f1777,plain,(
% 7.99/1.57 empty(the_carrier(sK18_skl))|in(cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl)))),the_carrier(poset_of_lattice(sK18_skl)))|~sQ129_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f1194])).
% 7.99/1.57 fof(f1778,plain,(
% 7.99/1.57 ![X0]: (empty(the_carrier(sK18_skl))|~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))),X0)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),X0)|~sQ91_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f934])).
% 7.99/1.57 fof(f1779,plain,(
% 7.99/1.57 empty(the_carrier(sK18_skl))|cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))))=sK6_skl(sK9_skl(the_carrier(sK18_skl)))|~sQ25_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f468])).
% 7.99/1.57 fof(f1780,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|in(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ130_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f1198])).
% 7.99/1.57 fof(f1781,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f944])).
% 7.99/1.57 fof(f1782,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl)))|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f942])).
% 7.99/1.57 fof(f1783,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ91_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f941])).
% 7.99/1.57 fof(f1784,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)|~sQ92_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f943])).
% 7.99/1.57 fof(f1785,plain,(
% 7.99/1.57 ![X0]: (empty(the_carrier(sK19_skl))|~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ92_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f938])).
% 7.99/1.57 fof(f1787,plain,(
% 7.99/1.57 ![X0]: (empty(the_carrier(sK19_skl))|~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|below(sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ60_spl)),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f699])).
% 7.99/1.57 fof(f1788,plain,(
% 7.99/1.57 empty(the_carrier(sK19_skl))|cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=sK6_skl(sK9_skl(the_carrier(sK19_skl)))|~sQ4_spl),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f377])).
% 7.99/1.57 fof(f1789,plain,(
% 7.99/1.57 ![X0]: (empty(X0)|empty(X0)|in(sK6_skl(sK9_skl(X0)),X0))),
% 7.99/1.57 inference(resolution,[status(thm)],[f1771,f328])).
% 7.99/1.57 fof(f1790,definition,(
% 7.99/1.57 ![X0]: (sQ211_spl <=> (~in(X0,sK6_skl(sK9_skl(powerset(empty_set))))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1791,plain,(
% 7.99/1.57 ![X0]: (~in(X0,sK6_skl(sK9_skl(powerset(empty_set))))|~sQ211_spl)),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1790])).
% 7.99/1.57 fof(f1793,plain,(
% 7.99/1.57 sQ210_spl|sQ211_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1772,f1732,f1790])).
% 7.99/1.57 fof(f1797,definition,(
% 7.99/1.57 sQ212_spl <=> (empty(the_carrier(sK11_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1798,plain,(
% 7.99/1.57 empty(the_carrier(sK11_skl))|~sQ212_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1797])).
% 7.99/1.57 fof(f1800,definition,(
% 7.99/1.57 sQ213_spl <=> (related_reflexive(sK11_skl,sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK6_skl(sK9_skl(the_carrier(sK11_skl)))))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1801,plain,(
% 7.99/1.57 related_reflexive(sK11_skl,sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK6_skl(sK9_skl(the_carrier(sK11_skl))))|~sQ213_spl),
% 7.99/1.57 inference(component_clause,[status(thm)],[f1800])).
% 7.99/1.57 fof(f1803,plain,(
% 7.99/1.57 sQ212_spl|sQ213_spl|~sQ12_spl),
% 7.99/1.57 inference(split_clause,[status(thm)],[f1776,f1797,f1800,f416])).
% 7.99/1.57 fof(f1804,definition,(
% 7.99/1.57 sQ214_spl <=> (empty(the_carrier(sK18_skl)))),
% 7.99/1.57 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 7.99/1.57 fof(f1805,plain,(
% 7.99/1.57 empty(the_carrier(sK18_skl))|~sQ214_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1804])).
% 7.99/1.58 fof(f1807,definition,(
% 7.99/1.58 sQ215_spl <=> (in(cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl)))),the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1810,plain,(
% 7.99/1.58 sQ214_spl|sQ215_spl|~sQ129_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1777,f1804,f1807,f1193])).
% 7.99/1.58 fof(f1811,definition,(
% 7.99/1.58 ![X0]: (sQ216_spl <=> (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))),X0)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),X0)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1812,plain,(
% 7.99/1.58 ![X0]: (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))),X0)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),X0)|~sQ216_spl)),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1811])).
% 7.99/1.58 fof(f1814,plain,(
% 7.99/1.58 sQ214_spl|sQ216_spl|~sQ91_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1778,f1804,f1811,f933])).
% 7.99/1.58 fof(f1815,definition,(
% 7.99/1.58 sQ217_spl <=> (cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))))=sK6_skl(sK9_skl(the_carrier(sK18_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1816,plain,(
% 7.99/1.58 cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))))=sK6_skl(sK9_skl(the_carrier(sK18_skl)))|~sQ217_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1815])).
% 7.99/1.58 fof(f1818,plain,(
% 7.99/1.58 sQ214_spl|sQ217_spl|~sQ25_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1779,f1804,f1815,f467])).
% 7.99/1.58 fof(f1819,definition,(
% 7.99/1.58 sQ218_spl <=> (in(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1822,plain,(
% 7.99/1.58 sQ132_spl|sQ218_spl|~sQ130_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1780,f1205,f1819,f1197])).
% 7.99/1.58 fof(f1823,definition,(
% 7.99/1.58 sQ219_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1824,plain,(
% 7.99/1.58 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)|~sQ219_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1823])).
% 7.99/1.58 fof(f1826,plain,(
% 7.99/1.58 sQ132_spl|sQ219_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1781,f1205,f1823,f937])).
% 7.99/1.58 fof(f1827,definition,(
% 7.99/1.58 sQ220_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1828,plain,(
% 7.99/1.58 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl)))|~sQ220_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1827])).
% 7.99/1.58 fof(f1830,plain,(
% 7.99/1.58 sQ132_spl|sQ220_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1782,f1205,f1827,f937])).
% 7.99/1.58 fof(f1831,definition,(
% 7.99/1.58 sQ221_spl <=> (k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1832,plain,(
% 7.99/1.58 k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ221_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1831])).
% 7.99/1.58 fof(f1834,plain,(
% 7.99/1.58 sQ132_spl|sQ221_spl|~sQ91_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1783,f1205,f1831,f933])).
% 7.99/1.58 fof(f1835,definition,(
% 7.99/1.58 sQ222_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1836,plain,(
% 7.99/1.58 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)|~sQ222_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1835])).
% 7.99/1.58 fof(f1838,plain,(
% 7.99/1.58 sQ132_spl|sQ222_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1784,f1205,f1835,f937])).
% 7.99/1.58 fof(f1839,definition,(
% 7.99/1.58 ![X0]: (sQ223_spl <=> (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1840,plain,(
% 7.99/1.58 ![X0]: (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ223_spl)),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1839])).
% 7.99/1.58 fof(f1842,plain,(
% 7.99/1.58 sQ132_spl|sQ223_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1785,f1205,f1839,f937])).
% 7.99/1.58 fof(f1850,definition,(
% 7.99/1.58 ![X0]: (sQ226_spl <=> (~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|below(sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1851,plain,(
% 7.99/1.58 ![X0]: (~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|below(sK19_skl,X0,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ226_spl)),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1850])).
% 7.99/1.58 fof(f1853,plain,(
% 7.99/1.58 sQ132_spl|sQ226_spl|~sQ60_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1787,f1205,f1850,f698])).
% 7.99/1.58 fof(f1854,definition,(
% 7.99/1.58 sQ227_spl <=> (cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=sK6_skl(sK9_skl(the_carrier(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1855,plain,(
% 7.99/1.58 cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=sK6_skl(sK9_skl(the_carrier(sK19_skl)))|~sQ227_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1854])).
% 7.99/1.58 fof(f1857,plain,(
% 7.99/1.58 sQ132_spl|sQ227_spl|~sQ4_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1788,f1205,f1854,f376])).
% 7.99/1.58 fof(f1858,plain,(
% 7.99/1.58 ![X0]: (empty(X0)|in(sK6_skl(sK9_skl(X0)),X0))),
% 7.99/1.58 inference(duplicate_literals_removal,[status(thm)],[f1789])).
% 7.99/1.58 fof(f1859,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~one_sorted_str(sK18_skl)|~sQ214_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1805,f195])).
% 7.99/1.58 fof(f1864,definition,(
% 7.99/1.58 sQ228_spl <=> (one_sorted_str(sK18_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1866,plain,(
% 7.99/1.58 ~one_sorted_str(sK18_skl)|sQ228_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1864])).
% 7.99/1.58 fof(f1867,plain,(
% 7.99/1.58 sQ22_spl|~sQ228_spl|~sQ214_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1859,f457,f1864,f1804])).
% 7.99/1.58 fof(f1868,plain,(
% 7.99/1.58 $false|sQ228_spl),
% 7.99/1.58 inference(forward_subsumption_resolution,[status(thm)],[f1866,f819])).
% 7.99/1.58 fof(f1869,plain,(
% 7.99/1.58 sQ228_spl),
% 7.99/1.58 inference(contradiction_clause,[status(thm)],[f1868])).
% 7.99/1.58 fof(f1870,plain,(
% 7.99/1.58 empty_carrier(sK11_skl)|~one_sorted_str(sK11_skl)|~sQ212_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1798,f195])).
% 7.99/1.58 fof(f1875,definition,(
% 7.99/1.58 sQ229_spl <=> (one_sorted_str(sK11_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1877,plain,(
% 7.99/1.58 ~one_sorted_str(sK11_skl)|sQ229_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1875])).
% 7.99/1.58 fof(f1878,plain,(
% 7.99/1.58 sQ10_spl|~sQ229_spl|~sQ212_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1870,f410,f1875,f1797])).
% 7.99/1.58 fof(f1879,plain,(
% 7.99/1.58 $false|sQ229_spl),
% 7.99/1.58 inference(forward_subsumption_resolution,[status(thm)],[f1877,f764])).
% 7.99/1.58 fof(f1880,plain,(
% 7.99/1.58 sQ229_spl),
% 7.99/1.58 inference(contradiction_clause,[status(thm)],[f1879])).
% 7.99/1.58 fof(f1884,plain,(
% 7.99/1.58 ![X0]: (empty(sK9_skl(X0))|element(sK6_skl(sK9_skl(sK9_skl(X0))),X0)|empty(X0))),
% 7.99/1.58 inference(resolution,[status(thm)],[f1858,f1756])).
% 7.99/1.58 fof(f1889,plain,(
% 7.99/1.58 ![X0]: (element(sK6_skl(sK9_skl(sK9_skl(X0))),X0)|empty(X0))),
% 7.99/1.58 inference(forward_subsumption_resolution,[status(thm)],[f1884,f259])).
% 7.99/1.58 fof(f1890,plain,(
% 7.99/1.58 empty(sK6_skl(sK9_skl(powerset(empty_set))))|~sQ211_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1791,f1858])).
% 7.99/1.58 fof(f1895,plain,(
% 7.99/1.58 sK6_skl(sK9_skl(powerset(empty_set)))=empty_set|~sQ211_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1890,f344])).
% 7.99/1.58 fof(f1900,plain,(
% 7.99/1.58 element(empty_set,powerset(empty_set))|empty(powerset(empty_set))|~sQ211_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1895,f1771])).
% 7.99/1.58 fof(f1901,plain,(
% 7.99/1.58 empty(sK9_skl(powerset(empty_set)))|~in(sK9_skl(powerset(empty_set)),empty_set)|~sQ211_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1895,f1271])).
% 7.99/1.58 fof(f1902,plain,(
% 7.99/1.58 empty(sK9_skl(powerset(empty_set)))|in(empty_set,sK9_skl(powerset(empty_set)))|~sQ211_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1895,f1082])).
% 7.99/1.58 fof(f1903,plain,(
% 7.99/1.58 element(empty_set,sK9_skl(powerset(empty_set)))|~sQ211_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1895,f188])).
% 7.99/1.58 fof(f1905,plain,(
% 7.99/1.58 sQ209_spl|sQ210_spl|~sQ211_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1900,f1716,f1732,f1790])).
% 7.99/1.58 fof(f1906,definition,(
% 7.99/1.58 sQ230_spl <=> (empty(sK9_skl(powerset(empty_set))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1907,plain,(
% 7.99/1.58 empty(sK9_skl(powerset(empty_set)))|~sQ230_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1906])).
% 7.99/1.58 fof(f1909,definition,(
% 7.99/1.58 sQ231_spl <=> (in(sK9_skl(powerset(empty_set)),empty_set))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1912,plain,(
% 7.99/1.58 sQ230_spl|~sQ231_spl|~sQ211_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1901,f1906,f1909,f1790])).
% 7.99/1.58 fof(f1913,definition,(
% 7.99/1.58 sQ232_spl <=> (in(empty_set,sK9_skl(powerset(empty_set))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1916,plain,(
% 7.99/1.58 sQ230_spl|sQ232_spl|~sQ211_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1902,f1906,f1913,f1790])).
% 7.99/1.58 fof(f1917,plain,(
% 7.99/1.58 empty(powerset(empty_set))|~sQ230_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1907,f259])).
% 7.99/1.58 fof(f1922,plain,(
% 7.99/1.58 sQ210_spl|~sQ230_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1917,f1732,f1906])).
% 7.99/1.58 fof(f1929,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ5_spl|~sQ227_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1855,f386])).
% 7.99/1.58 fof(f1930,definition,(
% 7.99/1.58 sQ233_spl <=> (element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1931,plain,(
% 7.99/1.58 element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|~sQ233_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1930])).
% 7.99/1.58 fof(f1932,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|sQ233_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1930])).
% 7.99/1.58 fof(f1933,definition,(
% 7.99/1.58 sQ234_spl <=> (element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1934,plain,(
% 7.99/1.58 element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ234_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f1933])).
% 7.99/1.58 fof(f1936,plain,(
% 7.99/1.58 ~sQ233_spl|sQ234_spl|~sQ5_spl|~sQ227_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1929,f1930,f1933,f385,f1854])).
% 7.99/1.58 fof(f1937,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|sQ233_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1932,f1771])).
% 7.99/1.58 fof(f1938,plain,(
% 7.99/1.58 sQ132_spl|sQ233_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1937,f1205,f1930])).
% 7.99/1.58 fof(f1948,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|in(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|~sQ233_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1931,f328])).
% 7.99/1.58 fof(f1951,definition,(
% 7.99/1.58 sQ235_spl <=> (in(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1954,plain,(
% 7.99/1.58 sQ132_spl|sQ235_spl|~sQ233_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1948,f1205,f1951,f1930])).
% 7.99/1.58 fof(f1956,plain,(
% 7.99/1.58 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))|empty(the_carrier(sK19_skl))|~sQ223_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1840,f1771])).
% 7.99/1.58 fof(f1957,plain,(
% 7.99/1.58 k10_filter_1(sK19_skl,sK19_skl,sK6_skl(the_carrier(sK19_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ223_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1840,f188])).
% 7.99/1.58 fof(f1960,definition,(
% 7.99/1.58 sQ236_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1963,plain,(
% 7.99/1.58 sQ236_spl|sQ132_spl|~sQ223_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1956,f1960,f1205,f1839])).
% 7.99/1.58 fof(f1966,plain,(
% 7.99/1.58 empty(the_carrier(poset_of_lattice(sK19_skl)))|in(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ234_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1934,f328])).
% 7.99/1.58 fof(f1967,definition,(
% 7.99/1.58 sQ237_spl <=> (in(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1970,plain,(
% 7.99/1.58 sQ110_spl|sQ237_spl|~sQ234_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1966,f1119,f1967,f1933])).
% 7.99/1.58 fof(f1971,plain,(
% 7.99/1.58 $false|~sQ67_spl|sQ137_spl),
% 7.99/1.58 inference(forward_subsumption_resolution,[status(thm)],[f1238,f767])).
% 7.99/1.58 fof(f1972,plain,(
% 7.99/1.58 ~sQ67_spl|sQ137_spl),
% 7.99/1.58 inference(contradiction_clause,[status(thm)],[f1971])).
% 7.99/1.58 fof(f1987,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|below(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|~sQ226_spl|~sQ44_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1851,f572])).
% 7.99/1.58 fof(f1988,definition,(
% 7.99/1.58 sQ238_spl <=> (below(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f1991,plain,(
% 7.99/1.58 ~sQ233_spl|sQ238_spl|~sQ226_spl|~sQ44_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1987,f1930,f1988,f1850,f571])).
% 7.99/1.58 fof(f1996,plain,(
% 7.99/1.58 ![X0]: (empty(powerset(empty_set))|~in(X0,sK6_skl(sK9_skl(sK9_skl(powerset(empty_set))))))),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f1658])).
% 7.99/1.58 fof(f2000,plain,(
% 7.99/1.58 empty(the_carrier(sK11_skl))|related_reflexive(sK11_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK11_skl)))),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK11_skl)))))|~sQ12_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f417])).
% 7.99/1.58 fof(f2001,plain,(
% 7.99/1.58 empty(the_carrier(sK18_skl))|in(cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl))))),the_carrier(poset_of_lattice(sK18_skl)))|~sQ129_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f1194])).
% 7.99/1.58 fof(f2002,plain,(
% 7.99/1.58 ![X0]: (empty(the_carrier(sK18_skl))|~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl)))),X0)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl)))),X0)|~sQ91_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f934])).
% 7.99/1.58 fof(f2003,plain,(
% 7.99/1.58 empty(the_carrier(sK18_skl))|cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl)))))=sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl))))|~sQ25_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f468])).
% 7.99/1.58 fof(f2004,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|in(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ130_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f1198])).
% 7.99/1.58 fof(f2005,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ223_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f1840])).
% 7.99/1.58 fof(f2006,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl)|~sQ92_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f944])).
% 7.99/1.58 fof(f2007,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(the_carrier(sK19_skl)))|~sQ92_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f942])).
% 7.99/1.58 fof(f2008,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))|~sQ91_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f941])).
% 7.99/1.58 fof(f2009,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl)|~sQ92_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f943])).
% 7.99/1.58 fof(f2010,plain,(
% 7.99/1.58 ![X0]: (empty(the_carrier(sK19_skl))|~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))|~sQ92_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f938])).
% 7.99/1.58 fof(f2012,plain,(
% 7.99/1.58 ![X0]: (empty(the_carrier(sK19_skl))|~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))|below(sK19_skl,X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))|~sQ60_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f699])).
% 7.99/1.58 fof(f2013,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ4_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f377])).
% 7.99/1.58 fof(f2014,plain,(
% 7.99/1.58 ![X0]: (empty(X0)|empty(X0)|in(sK6_skl(sK9_skl(sK9_skl(X0))),X0))),
% 7.99/1.58 inference(resolution,[status(thm)],[f1889,f328])).
% 7.99/1.58 fof(f2015,definition,(
% 7.99/1.58 ![X0]: (sQ239_spl <=> (~in(X0,sK6_skl(sK9_skl(sK9_skl(powerset(empty_set)))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2016,plain,(
% 7.99/1.58 ![X0]: (~in(X0,sK6_skl(sK9_skl(sK9_skl(powerset(empty_set)))))|~sQ239_spl)),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2015])).
% 7.99/1.58 fof(f2018,plain,(
% 7.99/1.58 sQ210_spl|sQ239_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f1996,f1732,f2015])).
% 7.99/1.58 fof(f2022,definition,(
% 7.99/1.58 sQ240_spl <=> (related_reflexive(sK11_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK11_skl)))),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK11_skl))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2025,plain,(
% 7.99/1.58 sQ212_spl|sQ240_spl|~sQ12_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2000,f1797,f2022,f416])).
% 7.99/1.58 fof(f2026,definition,(
% 7.99/1.58 sQ241_spl <=> (in(cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl))))),the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2029,plain,(
% 7.99/1.58 sQ214_spl|sQ241_spl|~sQ129_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2001,f1804,f2026,f1193])).
% 7.99/1.58 fof(f2030,definition,(
% 7.99/1.58 ![X0]: (sQ242_spl <=> (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl)))),X0)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl)))),X0)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2033,plain,(
% 7.99/1.58 sQ214_spl|sQ242_spl|~sQ91_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2002,f1804,f2030,f933])).
% 7.99/1.58 fof(f2034,definition,(
% 7.99/1.58 sQ243_spl <=> (cast_to_el_of_LattPOSet(sK18_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl)))))=sK6_skl(sK9_skl(sK9_skl(the_carrier(sK18_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2037,plain,(
% 7.99/1.58 sQ214_spl|sQ243_spl|~sQ25_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2003,f1804,f2034,f467])).
% 7.99/1.58 fof(f2038,definition,(
% 7.99/1.58 sQ244_spl <=> (in(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2039,plain,(
% 7.99/1.58 in(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ244_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2038])).
% 7.99/1.58 fof(f2041,plain,(
% 7.99/1.58 sQ132_spl|sQ244_spl|~sQ130_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2004,f1205,f2038,f1197])).
% 7.99/1.58 fof(f2042,definition,(
% 7.99/1.58 sQ245_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(sK9_skl(the_carrier(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2045,plain,(
% 7.99/1.58 sQ132_spl|sQ245_spl|~sQ223_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2005,f1205,f2042,f1839])).
% 7.99/1.58 fof(f2046,definition,(
% 7.99/1.58 sQ246_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2049,plain,(
% 7.99/1.58 sQ132_spl|sQ246_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2006,f1205,f2046,f937])).
% 7.99/1.58 fof(f2050,definition,(
% 7.99/1.58 sQ247_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(the_carrier(sK19_skl)))=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK6_skl(the_carrier(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2053,plain,(
% 7.99/1.58 sQ132_spl|sQ247_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2007,f1205,f2050,f937])).
% 7.99/1.58 fof(f2054,definition,(
% 7.99/1.58 sQ248_spl <=> (k10_filter_1(sK18_skl,sK19_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2057,plain,(
% 7.99/1.58 sQ132_spl|sQ248_spl|~sQ91_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2008,f1205,f2054,f933])).
% 7.99/1.58 fof(f2058,definition,(
% 7.99/1.58 sQ249_spl <=> (k10_filter_1(sK19_skl,sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2061,plain,(
% 7.99/1.58 sQ132_spl|sQ249_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2009,f1205,f2058,f937])).
% 7.99/1.58 fof(f2062,definition,(
% 7.99/1.58 ![X0]: (sQ250_spl <=> (~element(X0,the_carrier(sK19_skl))|k10_filter_1(sK19_skl,sK19_skl,X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2065,plain,(
% 7.99/1.58 sQ132_spl|sQ250_spl|~sQ92_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2010,f1205,f2062,f937])).
% 7.99/1.58 fof(f2073,definition,(
% 7.99/1.58 ![X0]: (sQ253_spl <=> (~element(X0,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))|below(sK19_skl,X0,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2076,plain,(
% 7.99/1.58 sQ132_spl|sQ253_spl|~sQ60_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2012,f1205,f2073,f698])).
% 7.99/1.58 fof(f2077,definition,(
% 7.99/1.58 sQ254_spl <=> (cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2078,plain,(
% 7.99/1.58 cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ254_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2077])).
% 7.99/1.58 fof(f2080,plain,(
% 7.99/1.58 sQ132_spl|sQ254_spl|~sQ4_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2013,f1205,f2077,f376])).
% 7.99/1.58 fof(f2081,plain,(
% 7.99/1.58 ![X0]: (empty(X0)|in(sK6_skl(sK9_skl(sK9_skl(X0))),X0))),
% 7.99/1.58 inference(duplicate_literals_removal,[status(thm)],[f2014])).
% 7.99/1.58 fof(f2091,plain,(
% 7.99/1.58 empty(sK6_skl(sK9_skl(sK9_skl(powerset(empty_set)))))|~sQ239_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2016,f2081])).
% 7.99/1.58 fof(f2097,plain,(
% 7.99/1.58 sK6_skl(sK9_skl(sK9_skl(powerset(empty_set))))=empty_set|~sQ239_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2091,f344])).
% 7.99/1.58 fof(f2114,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(sK18_skl))|element(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(poset_of_lattice(sK18_skl)))|~sQ24_spl|~sQ217_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1816,f464])).
% 7.99/1.58 fof(f2115,definition,(
% 7.99/1.58 sQ255_spl <=> (element(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2116,plain,(
% 7.99/1.58 element(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(sK18_skl))|~sQ255_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2115])).
% 7.99/1.58 fof(f2117,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(sK18_skl))|sQ255_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2115])).
% 7.99/1.58 fof(f2118,definition,(
% 7.99/1.58 sQ256_spl <=> (element(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2119,plain,(
% 7.99/1.58 element(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(poset_of_lattice(sK18_skl)))|~sQ256_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2118])).
% 7.99/1.58 fof(f2121,plain,(
% 7.99/1.58 ~sQ255_spl|sQ256_spl|~sQ24_spl|~sQ217_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2114,f2115,f2118,f463,f1815])).
% 7.99/1.58 fof(f2122,plain,(
% 7.99/1.58 empty(the_carrier(sK18_skl))|sQ255_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2117,f1771])).
% 7.99/1.58 fof(f2123,plain,(
% 7.99/1.58 sQ214_spl|sQ255_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2122,f1804,f2115])).
% 7.99/1.58 fof(f2127,plain,(
% 7.99/1.58 empty(the_carrier(sK18_skl))|in(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(sK18_skl))|~sQ255_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2116,f328])).
% 7.99/1.58 fof(f2129,definition,(
% 7.99/1.58 sQ257_spl <=> (in(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2132,plain,(
% 7.99/1.58 sQ214_spl|sQ257_spl|~sQ255_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2127,f1804,f2129,f2115])).
% 7.99/1.58 fof(f2135,plain,(
% 7.99/1.58 k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))|empty(the_carrier(sK19_skl))|~sQ216_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1812,f1889])).
% 7.99/1.58 fof(f2137,plain,(
% 7.99/1.58 k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))|empty(the_carrier(sK19_skl))|~sQ216_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1812,f1771])).
% 7.99/1.58 fof(f2141,definition,(
% 7.99/1.58 sQ258_spl <=> (k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2144,plain,(
% 7.99/1.58 sQ258_spl|sQ132_spl|~sQ216_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2135,f2141,f1205,f1811])).
% 7.99/1.58 fof(f2145,definition,(
% 7.99/1.58 sQ259_spl <=> (k10_filter_1(sK18_skl,sK19_skl,sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK6_skl(sK9_skl(the_carrier(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2148,plain,(
% 7.99/1.58 sQ259_spl|sQ132_spl|~sQ216_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2137,f2145,f1205,f1811])).
% 7.99/1.58 fof(f2149,plain,(
% 7.99/1.58 empty_carrier(sK11_skl)|~reflexive_relstr(sK11_skl)|~rel_str(sK11_skl)|~element(sK6_skl(sK9_skl(the_carrier(sK11_skl))),the_carrier(sK11_skl))|~element(sK6_skl(sK9_skl(the_carrier(sK11_skl))),the_carrier(sK11_skl))|related(sK11_skl,sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK6_skl(sK9_skl(the_carrier(sK11_skl))))|~sQ213_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f1801,f315])).
% 7.99/1.58 fof(f2150,definition,(
% 7.99/1.58 sQ260_spl <=> (element(sK6_skl(sK9_skl(the_carrier(sK11_skl))),the_carrier(sK11_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2151,plain,(
% 7.99/1.58 element(sK6_skl(sK9_skl(the_carrier(sK11_skl))),the_carrier(sK11_skl))|~sQ260_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2150])).
% 7.99/1.58 fof(f2152,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(the_carrier(sK11_skl))),the_carrier(sK11_skl))|sQ260_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2150])).
% 7.99/1.58 fof(f2153,definition,(
% 7.99/1.58 sQ261_spl <=> (related(sK11_skl,sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK6_skl(sK9_skl(the_carrier(sK11_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2156,plain,(
% 7.99/1.58 sQ10_spl|~sQ83_spl|~sQ11_spl|~sQ260_spl|sQ261_spl|~sQ213_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2149,f410,f873,f413,f2150,f2153,f1800])).
% 7.99/1.58 fof(f2164,plain,(
% 7.99/1.58 element(empty_set,sK9_skl(powerset(empty_set)))|empty(sK9_skl(powerset(empty_set)))|~sQ239_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2097,f1771])).
% 7.99/1.58 fof(f2165,plain,(
% 7.99/1.58 empty(sK9_skl(sK9_skl(powerset(empty_set))))|~in(sK9_skl(sK9_skl(powerset(empty_set))),empty_set)|~sQ239_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2097,f1271])).
% 7.99/1.58 fof(f2166,plain,(
% 7.99/1.58 empty(sK9_skl(sK9_skl(powerset(empty_set))))|in(empty_set,sK9_skl(sK9_skl(powerset(empty_set))))|~sQ239_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2097,f1082])).
% 7.99/1.58 fof(f2167,plain,(
% 7.99/1.58 element(empty_set,sK9_skl(sK9_skl(powerset(empty_set))))|~sQ239_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2097,f188])).
% 7.99/1.58 fof(f2172,definition,(
% 7.99/1.58 sQ262_spl <=> (element(empty_set,sK9_skl(powerset(empty_set))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2175,plain,(
% 7.99/1.58 sQ262_spl|sQ230_spl|~sQ239_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2164,f2172,f1906,f2015])).
% 7.99/1.58 fof(f2176,definition,(
% 7.99/1.58 sQ263_spl <=> (empty(sK9_skl(sK9_skl(powerset(empty_set)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2177,plain,(
% 7.99/1.58 empty(sK9_skl(sK9_skl(powerset(empty_set))))|~sQ263_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2176])).
% 7.99/1.58 fof(f2179,definition,(
% 7.99/1.58 sQ264_spl <=> (in(sK9_skl(sK9_skl(powerset(empty_set))),empty_set))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2182,plain,(
% 7.99/1.58 sQ263_spl|~sQ264_spl|~sQ239_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2165,f2176,f2179,f2015])).
% 7.99/1.58 fof(f2183,definition,(
% 7.99/1.58 sQ265_spl <=> (in(empty_set,sK9_skl(sK9_skl(powerset(empty_set)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2186,plain,(
% 7.99/1.58 sQ263_spl|sQ265_spl|~sQ239_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2166,f2176,f2183,f2015])).
% 7.99/1.58 fof(f2187,plain,(
% 7.99/1.58 empty(sK9_skl(powerset(empty_set)))|~sQ263_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2177,f259])).
% 7.99/1.58 fof(f2192,plain,(
% 7.99/1.58 sQ230_spl|~sQ263_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2187,f1906,f2176])).
% 7.99/1.58 fof(f2204,plain,(
% 7.99/1.58 ![X0]: (~rel_str(X0)|rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0))))),
% 7.99/1.58 inference(resolution,[status(thm)],[f1077,f127])).
% 7.99/1.58 fof(f2205,plain,(
% 7.99/1.58 ![X0]: (~rel_str(X0)|strict_rel_str(rel_str_of(the_carrier(X0),the_InternalRel(X0))))),
% 7.99/1.58 inference(resolution,[status(thm)],[f1077,f126])).
% 7.99/1.58 fof(f2206,plain,(
% 7.99/1.58 ![X0]: (~rel_str(X0)|one_sorted_str(rel_str_of(the_carrier(X0),the_InternalRel(X0))))),
% 7.99/1.58 inference(resolution,[status(thm)],[f2204,f157])).
% 7.99/1.58 fof(f2216,plain,(
% 7.99/1.58 ~rel_str(sK11_skl)|strict_rel_str(sK11_skl)|~sQ54_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f662,f2205])).
% 7.99/1.58 fof(f2217,plain,(
% 7.99/1.58 ~rel_str(sK8_skl)|strict_rel_str(sK8_skl)|~sQ53_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f655,f2205])).
% 7.99/1.58 fof(f2218,plain,(
% 7.99/1.58 ~rel_str(poset_of_lattice(sK18_skl))|strict_rel_str(poset_of_lattice(sK18_skl))|~sQ50_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f626,f2205])).
% 7.99/1.58 fof(f2219,plain,(
% 7.99/1.58 ~rel_str(poset_of_lattice(sK19_skl))|strict_rel_str(poset_of_lattice(sK19_skl))|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f630,f2205])).
% 7.99/1.58 fof(f2221,definition,(
% 7.99/1.58 sQ266_spl <=> (strict_rel_str(sK11_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2224,plain,(
% 7.99/1.58 ~sQ11_spl|sQ266_spl|~sQ54_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2216,f413,f2221,f661])).
% 7.99/1.58 fof(f2225,definition,(
% 7.99/1.58 sQ267_spl <=> (strict_rel_str(sK8_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2228,plain,(
% 7.99/1.58 ~sQ52_spl|sQ267_spl|~sQ53_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2217,f651,f2225,f654])).
% 7.99/1.58 fof(f2229,definition,(
% 7.99/1.58 sQ268_spl <=> (strict_rel_str(poset_of_lattice(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2232,plain,(
% 7.99/1.58 ~sQ96_spl|sQ268_spl|~sQ50_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2218,f971,f2229,f625])).
% 7.99/1.58 fof(f2233,definition,(
% 7.99/1.58 sQ269_spl <=> (strict_rel_str(poset_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2236,plain,(
% 7.99/1.58 ~sQ67_spl|sQ269_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2219,f735,f2233,f629])).
% 7.99/1.58 fof(f2257,plain,(
% 7.99/1.58 element(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ244_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2039,f326])).
% 7.99/1.58 fof(f2262,plain,(
% 7.99/1.58 element(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ254_spl|~sQ244_spl),
% 7.99/1.58 inference(backward_demodulation,[status(thm)],[f2078,f2257])).
% 7.99/1.58 fof(f2264,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl))|element(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ5_spl|~sQ254_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2078,f386])).
% 7.99/1.58 fof(f2265,definition,(
% 7.99/1.58 sQ270_spl <=> (element(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2266,plain,(
% 7.99/1.58 element(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl))|~sQ270_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2265])).
% 7.99/1.58 fof(f2267,plain,(
% 7.99/1.58 ~element(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl))|sQ270_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2265])).
% 7.99/1.58 fof(f2268,definition,(
% 7.99/1.58 sQ271_spl <=> (element(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2271,plain,(
% 7.99/1.58 ~sQ270_spl|sQ271_spl|~sQ5_spl|~sQ254_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2264,f2265,f2268,f385,f2077])).
% 7.99/1.58 fof(f2272,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ219_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1824,f132])).
% 7.99/1.58 fof(f2273,definition,(
% 7.99/1.58 sQ272_spl <=> (element(ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2276,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ233_spl|~sQ31_spl|sQ272_spl|~sQ219_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2272,f370,f373,f535,f1930,f496,f2273,f1823])).
% 7.99/1.58 fof(f2277,plain,(
% 7.99/1.58 empty(the_carrier(sK11_skl))|sQ260_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2152,f1771])).
% 7.99/1.58 fof(f2278,plain,(
% 7.99/1.58 sQ212_spl|sQ260_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2277,f1797,f2150])).
% 7.99/1.58 fof(f2280,plain,(
% 7.99/1.58 empty(the_carrier(sK11_skl))|in(sK6_skl(sK9_skl(the_carrier(sK11_skl))),the_carrier(sK11_skl))|~sQ260_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2151,f328])).
% 7.99/1.58 fof(f2281,definition,(
% 7.99/1.58 sQ273_spl <=> (in(sK6_skl(sK9_skl(the_carrier(sK11_skl))),the_carrier(sK11_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2284,plain,(
% 7.99/1.58 sQ212_spl|sQ273_spl|~sQ260_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2280,f1797,f2281,f2150])).
% 7.99/1.58 fof(f2289,plain,(
% 7.99/1.58 empty(the_carrier(poset_of_lattice(sK18_skl)))|in(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(poset_of_lattice(sK18_skl)))|~sQ256_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2119,f328])).
% 7.99/1.58 fof(f2290,definition,(
% 7.99/1.58 sQ274_spl <=> (in(sK6_skl(sK9_skl(the_carrier(sK18_skl))),the_carrier(poset_of_lattice(sK18_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2293,plain,(
% 7.99/1.58 sQ108_spl|sQ274_spl|~sQ256_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2289,f1112,f2290,f2118])).
% 7.99/1.58 fof(f2294,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|sQ270_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2267,f1889])).
% 7.99/1.58 fof(f2295,plain,(
% 7.99/1.58 sQ132_spl|sQ270_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2294,f1205,f2265])).
% 7.99/1.58 fof(f2296,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ220_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1828,f132])).
% 7.99/1.58 fof(f2297,definition,(
% 7.99/1.58 sQ275_spl <=> (element(ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK6_skl(the_carrier(sK19_skl))),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2300,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ233_spl|~sQ80_spl|sQ275_spl|~sQ220_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2296,f370,f373,f535,f1930,f856,f2297,f1827])).
% 7.99/1.58 fof(f2301,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(k8_filter_1(sK18_skl,sK19_skl)))|~sQ221_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1832,f132])).
% 7.99/1.58 fof(f2302,definition,(
% 7.99/1.58 sQ276_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(k8_filter_1(sK18_skl,sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2305,plain,(
% 7.99/1.58 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ87_spl|~sQ233_spl|sQ276_spl|~sQ221_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2301,f457,f460,f478,f370,f373,f535,f895,f1930,f2302,f1831])).
% 7.99/1.58 fof(f2307,plain,(
% 7.99/1.58 ~rel_str(sK8_skl)|one_sorted_str(sK8_skl)|~sQ53_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f655,f2206])).
% 7.99/1.58 fof(f2311,definition,(
% 7.99/1.58 sQ277_spl <=> (one_sorted_str(sK8_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2314,plain,(
% 7.99/1.58 ~sQ52_spl|sQ277_spl|~sQ53_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2307,f651,f2311,f654])).
% 7.99/1.58 fof(f2355,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|in(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl))|~sQ270_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2266,f328])).
% 7.99/1.58 fof(f2358,definition,(
% 7.99/1.58 sQ278_spl <=> (in(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2361,plain,(
% 7.99/1.58 sQ132_spl|sQ278_spl|~sQ270_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2355,f1205,f2358,f2265])).
% 7.99/1.58 fof(f2364,plain,(
% 7.99/1.58 empty(the_carrier(poset_of_lattice(sK19_skl)))|in(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(poset_of_lattice(sK19_skl)))|~sQ254_spl|~sQ244_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2262,f328])).
% 7.99/1.58 fof(f2365,definition,(
% 7.99/1.58 sQ279_spl <=> (in(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2368,plain,(
% 7.99/1.58 sQ110_spl|sQ279_spl|~sQ254_spl|~sQ244_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2364,f1119,f2365,f2077,f2038])).
% 7.99/1.58 fof(f2371,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ222_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1836,f132])).
% 7.99/1.58 fof(f2372,definition,(
% 7.99/1.58 sQ280_spl <=> (element(ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2375,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ233_spl|~sQ33_spl|sQ280_spl|~sQ222_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2371,f370,f373,f535,f1930,f503,f2372,f1835])).
% 7.99/1.58 fof(f2376,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK6_skl(the_carrier(sK19_skl)),the_carrier(sK19_skl))|~element(sK6_skl(sK9_skl(the_carrier(sK19_skl))),the_carrier(sK19_skl))|element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(k8_filter_1(sK19_skl,sK19_skl)))|~sQ223_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f1957,f132])).
% 7.99/1.58 fof(f2377,definition,(
% 7.99/1.58 sQ281_spl <=> (element(ordered_pair(sK6_skl(the_carrier(sK19_skl)),sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(k8_filter_1(sK19_skl,sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2380,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ80_spl|~sQ233_spl|sQ281_spl|~sQ223_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2376,f370,f373,f535,f856,f1930,f2377,f1839])).
% 7.99/1.58 fof(f2384,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~latt_str(sK18_skl)|k2_lattice3(sK18_skl)=relation_of_lattice(sK18_skl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f304,f298])).
% 7.99/1.58 fof(f2385,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~latt_str(sK19_skl)|k2_lattice3(sK19_skl)=relation_of_lattice(sK19_skl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f304,f352])).
% 7.99/1.58 fof(f2386,definition,(
% 7.99/1.58 sQ282_spl <=> (k2_lattice3(sK18_skl)=relation_of_lattice(sK18_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2387,plain,(
% 7.99/1.58 k2_lattice3(sK18_skl)=relation_of_lattice(sK18_skl)|~sQ282_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2386])).
% 7.99/1.58 fof(f2389,plain,(
% 7.99/1.58 sQ22_spl|~sQ28_spl|sQ282_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2384,f457,f478,f2386])).
% 7.99/1.58 fof(f2390,definition,(
% 7.99/1.58 sQ283_spl <=> (k2_lattice3(sK19_skl)=relation_of_lattice(sK19_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2391,plain,(
% 7.99/1.58 k2_lattice3(sK19_skl)=relation_of_lattice(sK19_skl)|~sQ283_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2390])).
% 7.99/1.58 fof(f2393,plain,(
% 7.99/1.58 sQ2_spl|~sQ36_spl|sQ283_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2385,f370,f535,f2390])).
% 7.99/1.58 fof(f2394,plain,(
% 7.99/1.58 poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl),
% 7.99/1.58 inference(backward_demodulation,[status(thm)],[f2391,f620])).
% 7.99/1.58 fof(f2395,plain,(
% 7.99/1.58 relation(relation_of_lattice(sK19_skl))|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~sQ283_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2391,f1061])).
% 7.99/1.58 fof(f2396,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|relation_of2_as_subset(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),the_carrier(sK19_skl))|~sQ283_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2391,f140])).
% 7.99/1.58 fof(f2397,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|v1_partfun1(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),the_carrier(sK19_skl))|~sQ283_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2391,f139])).
% 7.99/1.58 fof(f2398,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|transitive(relation_of_lattice(sK19_skl))|~sQ283_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2391,f138])).
% 7.99/1.58 fof(f2399,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|antisymmetric(relation_of_lattice(sK19_skl))|~sQ283_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2391,f137])).
% 7.99/1.58 fof(f2400,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|reflexive(relation_of_lattice(sK19_skl))|~sQ283_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2391,f136])).
% 7.99/1.58 fof(f2401,definition,(
% 7.99/1.58 sQ284_spl <=> (relation(relation_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2404,plain,(
% 7.99/1.58 sQ284_spl|sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ283_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2395,f2401,f370,f373,f535,f2390])).
% 7.99/1.58 fof(f2405,definition,(
% 7.99/1.58 sQ285_spl <=> (relation_of2_as_subset(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),the_carrier(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2406,plain,(
% 7.99/1.58 relation_of2_as_subset(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),the_carrier(sK19_skl))|~sQ285_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2405])).
% 7.99/1.58 fof(f2408,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ285_spl|~sQ283_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2396,f370,f373,f535,f2405,f2390])).
% 7.99/1.58 fof(f2409,definition,(
% 7.99/1.58 sQ286_spl <=> (v1_partfun1(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),the_carrier(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2412,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ286_spl|~sQ283_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2397,f370,f373,f535,f2409,f2390])).
% 7.99/1.58 fof(f2413,definition,(
% 7.99/1.58 sQ287_spl <=> (transitive(relation_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2414,plain,(
% 7.99/1.58 transitive(relation_of_lattice(sK19_skl))|~sQ287_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2413])).
% 7.99/1.58 fof(f2416,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ287_spl|~sQ283_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2398,f370,f373,f535,f2413,f2390])).
% 7.99/1.58 fof(f2417,definition,(
% 7.99/1.58 sQ288_spl <=> (antisymmetric(relation_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2420,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ288_spl|~sQ283_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2399,f370,f373,f535,f2417,f2390])).
% 7.99/1.58 fof(f2421,definition,(
% 7.99/1.58 sQ289_spl <=> (reflexive(relation_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2424,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ289_spl|~sQ283_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2400,f370,f373,f535,f2421,f2390])).
% 7.99/1.58 fof(f2427,plain,(
% 7.99/1.58 ![X0]: (~reflexive(relation_of_lattice(sK19_skl))|~antisymmetric(relation_of_lattice(sK19_skl))|~v1_partfun1(relation_of_lattice(sK19_skl),X0,X0)|~relation_of2(relation_of_lattice(sK19_skl),X0,X0)|antisymmetric_relstr(rel_str_of(X0,relation_of_lattice(sK19_skl)))|~sQ287_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2414,f224])).
% 7.99/1.58 fof(f2428,plain,(
% 7.99/1.58 ![X0]: (~reflexive(relation_of_lattice(sK19_skl))|~antisymmetric(relation_of_lattice(sK19_skl))|~v1_partfun1(relation_of_lattice(sK19_skl),X0,X0)|~relation_of2(relation_of_lattice(sK19_skl),X0,X0)|transitive_relstr(rel_str_of(X0,relation_of_lattice(sK19_skl)))|~sQ287_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2414,f223])).
% 7.99/1.58 fof(f2429,plain,(
% 7.99/1.58 ![X0]: (~reflexive(relation_of_lattice(sK19_skl))|~antisymmetric(relation_of_lattice(sK19_skl))|~v1_partfun1(relation_of_lattice(sK19_skl),X0,X0)|~relation_of2(relation_of_lattice(sK19_skl),X0,X0)|reflexive_relstr(rel_str_of(X0,relation_of_lattice(sK19_skl)))|~sQ287_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2414,f222])).
% 7.99/1.58 fof(f2430,definition,(
% 7.99/1.58 ![X0]: (sQ290_spl <=> (~v1_partfun1(relation_of_lattice(sK19_skl),X0,X0)|~relation_of2(relation_of_lattice(sK19_skl),X0,X0)|antisymmetric_relstr(rel_str_of(X0,relation_of_lattice(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2431,plain,(
% 7.99/1.58 ![X0]: (~v1_partfun1(relation_of_lattice(sK19_skl),X0,X0)|~relation_of2(relation_of_lattice(sK19_skl),X0,X0)|antisymmetric_relstr(rel_str_of(X0,relation_of_lattice(sK19_skl)))|~sQ290_spl)),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2430])).
% 7.99/1.58 fof(f2433,plain,(
% 7.99/1.58 ~sQ289_spl|~sQ288_spl|sQ290_spl|~sQ287_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2427,f2421,f2417,f2430,f2413])).
% 7.99/1.58 fof(f2434,definition,(
% 7.99/1.58 ![X0]: (sQ291_spl <=> (~v1_partfun1(relation_of_lattice(sK19_skl),X0,X0)|~relation_of2(relation_of_lattice(sK19_skl),X0,X0)|transitive_relstr(rel_str_of(X0,relation_of_lattice(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2437,plain,(
% 7.99/1.58 ~sQ289_spl|~sQ288_spl|sQ291_spl|~sQ287_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2428,f2421,f2417,f2434,f2413])).
% 7.99/1.58 fof(f2438,definition,(
% 7.99/1.58 ![X0]: (sQ292_spl <=> (~v1_partfun1(relation_of_lattice(sK19_skl),X0,X0)|~relation_of2(relation_of_lattice(sK19_skl),X0,X0)|reflexive_relstr(rel_str_of(X0,relation_of_lattice(sK19_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2441,plain,(
% 7.99/1.58 ~sQ289_spl|~sQ288_spl|sQ292_spl|~sQ287_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2429,f2421,f2417,f2438,f2413])).
% 7.99/1.58 fof(f2448,plain,(
% 7.99/1.58 poset_of_lattice(sK18_skl)=rel_str_of(the_carrier(sK18_skl),relation_of_lattice(sK18_skl))|~sQ282_spl|~sQ48_spl),
% 7.99/1.58 inference(backward_demodulation,[status(thm)],[f2387,f616])).
% 7.99/1.58 fof(f2449,plain,(
% 7.99/1.58 relation(relation_of_lattice(sK18_skl))|empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|~sQ282_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2387,f1061])).
% 7.99/1.58 fof(f2450,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|relation_of2_as_subset(relation_of_lattice(sK18_skl),the_carrier(sK18_skl),the_carrier(sK18_skl))|~sQ282_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2387,f140])).
% 7.99/1.58 fof(f2451,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|v1_partfun1(relation_of_lattice(sK18_skl),the_carrier(sK18_skl),the_carrier(sK18_skl))|~sQ282_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2387,f139])).
% 7.99/1.58 fof(f2452,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|transitive(relation_of_lattice(sK18_skl))|~sQ282_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2387,f138])).
% 7.99/1.58 fof(f2453,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|antisymmetric(relation_of_lattice(sK18_skl))|~sQ282_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2387,f137])).
% 7.99/1.58 fof(f2454,plain,(
% 7.99/1.58 empty_carrier(sK18_skl)|~lattice(sK18_skl)|~latt_str(sK18_skl)|reflexive(relation_of_lattice(sK18_skl))|~sQ282_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2387,f136])).
% 7.99/1.58 fof(f2455,definition,(
% 7.99/1.58 sQ293_spl <=> (relation(relation_of_lattice(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2458,plain,(
% 7.99/1.58 sQ293_spl|sQ22_spl|~sQ23_spl|~sQ28_spl|~sQ282_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2449,f2455,f457,f460,f478,f2386])).
% 7.99/1.58 fof(f2459,definition,(
% 7.99/1.58 sQ294_spl <=> (relation_of2_as_subset(relation_of_lattice(sK18_skl),the_carrier(sK18_skl),the_carrier(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2462,plain,(
% 7.99/1.58 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ294_spl|~sQ282_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2450,f457,f460,f478,f2459,f2386])).
% 7.99/1.58 fof(f2463,definition,(
% 7.99/1.58 sQ295_spl <=> (v1_partfun1(relation_of_lattice(sK18_skl),the_carrier(sK18_skl),the_carrier(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2466,plain,(
% 7.99/1.58 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ295_spl|~sQ282_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2451,f457,f460,f478,f2463,f2386])).
% 7.99/1.58 fof(f2467,definition,(
% 7.99/1.58 sQ296_spl <=> (transitive(relation_of_lattice(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2468,plain,(
% 7.99/1.58 transitive(relation_of_lattice(sK18_skl))|~sQ296_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2467])).
% 7.99/1.58 fof(f2470,plain,(
% 7.99/1.58 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ296_spl|~sQ282_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2452,f457,f460,f478,f2467,f2386])).
% 7.99/1.58 fof(f2471,definition,(
% 7.99/1.58 sQ297_spl <=> (antisymmetric(relation_of_lattice(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2474,plain,(
% 7.99/1.58 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ297_spl|~sQ282_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2453,f457,f460,f478,f2471,f2386])).
% 7.99/1.58 fof(f2475,definition,(
% 7.99/1.58 sQ298_spl <=> (reflexive(relation_of_lattice(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2478,plain,(
% 7.99/1.58 sQ22_spl|~sQ23_spl|~sQ28_spl|sQ298_spl|~sQ282_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2454,f457,f460,f478,f2475,f2386])).
% 7.99/1.58 fof(f2481,plain,(
% 7.99/1.58 ![X0]: (~reflexive(relation_of_lattice(sK18_skl))|~antisymmetric(relation_of_lattice(sK18_skl))|~v1_partfun1(relation_of_lattice(sK18_skl),X0,X0)|~relation_of2(relation_of_lattice(sK18_skl),X0,X0)|antisymmetric_relstr(rel_str_of(X0,relation_of_lattice(sK18_skl)))|~sQ296_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2468,f224])).
% 7.99/1.58 fof(f2482,plain,(
% 7.99/1.58 ![X0]: (~reflexive(relation_of_lattice(sK18_skl))|~antisymmetric(relation_of_lattice(sK18_skl))|~v1_partfun1(relation_of_lattice(sK18_skl),X0,X0)|~relation_of2(relation_of_lattice(sK18_skl),X0,X0)|transitive_relstr(rel_str_of(X0,relation_of_lattice(sK18_skl)))|~sQ296_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2468,f223])).
% 7.99/1.58 fof(f2483,plain,(
% 7.99/1.58 ![X0]: (~reflexive(relation_of_lattice(sK18_skl))|~antisymmetric(relation_of_lattice(sK18_skl))|~v1_partfun1(relation_of_lattice(sK18_skl),X0,X0)|~relation_of2(relation_of_lattice(sK18_skl),X0,X0)|reflexive_relstr(rel_str_of(X0,relation_of_lattice(sK18_skl)))|~sQ296_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2468,f222])).
% 7.99/1.58 fof(f2484,definition,(
% 7.99/1.58 ![X0]: (sQ299_spl <=> (~v1_partfun1(relation_of_lattice(sK18_skl),X0,X0)|~relation_of2(relation_of_lattice(sK18_skl),X0,X0)|antisymmetric_relstr(rel_str_of(X0,relation_of_lattice(sK18_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2487,plain,(
% 7.99/1.58 ~sQ298_spl|~sQ297_spl|sQ299_spl|~sQ296_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2481,f2475,f2471,f2484,f2467])).
% 7.99/1.58 fof(f2488,definition,(
% 7.99/1.58 ![X0]: (sQ300_spl <=> (~v1_partfun1(relation_of_lattice(sK18_skl),X0,X0)|~relation_of2(relation_of_lattice(sK18_skl),X0,X0)|transitive_relstr(rel_str_of(X0,relation_of_lattice(sK18_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2491,plain,(
% 7.99/1.58 ~sQ298_spl|~sQ297_spl|sQ300_spl|~sQ296_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2482,f2475,f2471,f2488,f2467])).
% 7.99/1.58 fof(f2492,definition,(
% 7.99/1.58 ![X0]: (sQ301_spl <=> (~v1_partfun1(relation_of_lattice(sK18_skl),X0,X0)|~relation_of2(relation_of_lattice(sK18_skl),X0,X0)|reflexive_relstr(rel_str_of(X0,relation_of_lattice(sK18_skl)))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2495,plain,(
% 7.99/1.58 ~sQ298_spl|~sQ297_spl|sQ301_spl|~sQ296_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2483,f2475,f2471,f2492,f2467])).
% 7.99/1.58 fof(f2503,plain,(
% 7.99/1.58 relation_of2(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),the_carrier(sK19_skl))|~sQ285_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2406,f307])).
% 7.99/1.58 fof(f2505,plain,(
% 7.99/1.58 ![X0,X1]: (~rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl))=rel_str_of(X0,X1)|relation_of_lattice(sK19_skl)=X1|~sQ285_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2503,f248])).
% 7.99/1.58 fof(f2506,plain,(
% 7.99/1.58 ![X0,X1]: (~rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl))=rel_str_of(X0,X1)|the_carrier(sK19_skl)=X0|~sQ285_spl)),
% 7.99/1.58 inference(resolution,[status(thm)],[f2503,f247])).
% 7.99/1.58 fof(f2507,plain,(
% 7.99/1.58 empty(the_carrier(sK19_skl))|~empty_carrier(rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl)))|~sQ285_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2503,f192])).
% 7.99/1.58 fof(f2511,plain,(
% 7.99/1.58 ![X0,X1]: (~poset_of_lattice(sK19_skl)=rel_str_of(X0,X1)|relation_of_lattice(sK19_skl)=X1|~sQ283_spl|~sQ49_spl|~sQ285_spl)),
% 7.99/1.58 inference(forward_demodulation,[status(thm)],[f2394,f2505])).
% 7.99/1.58 fof(f2512,plain,(
% 7.99/1.58 ![X0,X1]: (~poset_of_lattice(sK19_skl)=rel_str_of(X0,X1)|the_carrier(sK19_skl)=X0|~sQ283_spl|~sQ49_spl|~sQ285_spl)),
% 7.99/1.58 inference(forward_demodulation,[status(thm)],[f2394,f2506])).
% 7.99/1.58 fof(f2513,definition,(
% 7.99/1.58 sQ302_spl <=> (empty_carrier(rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2516,plain,(
% 7.99/1.58 sQ132_spl|~sQ302_spl|~sQ285_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2507,f1205,f2513,f2405])).
% 7.99/1.58 fof(f2521,plain,(
% 7.99/1.58 relation_of_lattice(sK19_skl)=the_InternalRel(poset_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2511,f630])).
% 7.99/1.58 fof(f2522,plain,(
% 7.99/1.58 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK18_skl)|relation_of_lattice(sK19_skl)=relation_of_lattice(sK18_skl)|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ282_spl|~sQ48_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2448,f2511])).
% 7.99/1.58 fof(f2523,plain,(
% 7.99/1.58 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK19_skl)|relation_of_lattice(sK19_skl)=relation_of_lattice(sK19_skl)|~sQ285_spl|~sQ283_spl|~sQ49_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2394,f2511])).
% 7.99/1.58 fof(f2524,plain,(
% 7.99/1.58 ~poset_of_lattice(sK19_skl)=sK11_skl|relation_of_lattice(sK19_skl)=the_InternalRel(sK11_skl)|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ54_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f662,f2511])).
% 7.99/1.58 fof(f2525,plain,(
% 7.99/1.58 ~poset_of_lattice(sK19_skl)=sK8_skl|relation_of_lattice(sK19_skl)=the_InternalRel(sK8_skl)|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ53_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f655,f2511])).
% 7.99/1.58 fof(f2526,plain,(
% 7.99/1.58 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK18_skl)|relation_of_lattice(sK19_skl)=the_InternalRel(poset_of_lattice(sK18_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ50_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f626,f2511])).
% 7.99/1.58 fof(f2527,plain,(
% 7.99/1.58 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK19_skl)|relation_of_lattice(sK19_skl)=the_InternalRel(poset_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f630,f2511])).
% 7.99/1.58 fof(f2528,definition,(
% 7.99/1.58 sQ303_spl <=> (poset_of_lattice(sK19_skl)=poset_of_lattice(sK18_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2531,definition,(
% 7.99/1.58 sQ304_spl <=> (relation_of_lattice(sK19_skl)=relation_of_lattice(sK18_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2534,plain,(
% 7.99/1.58 ~sQ303_spl|sQ304_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ282_spl|~sQ48_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2522,f2528,f2531,f2390,f619,f2405,f2386,f615])).
% 7.99/1.58 fof(f2535,definition,(
% 7.99/1.58 sQ305_spl <=> (poset_of_lattice(sK19_skl)=poset_of_lattice(sK19_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2537,plain,(
% 7.99/1.58 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK19_skl)|sQ305_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2535])).
% 7.99/1.58 fof(f2538,definition,(
% 7.99/1.58 sQ306_spl <=> (relation_of_lattice(sK19_skl)=relation_of_lattice(sK19_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2541,plain,(
% 7.99/1.58 ~sQ305_spl|sQ306_spl|~sQ285_spl|~sQ283_spl|~sQ49_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2523,f2535,f2538,f2405,f2390,f619])).
% 7.99/1.58 fof(f2542,definition,(
% 7.99/1.58 sQ307_spl <=> (poset_of_lattice(sK19_skl)=sK11_skl)),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2545,definition,(
% 7.99/1.58 sQ308_spl <=> (relation_of_lattice(sK19_skl)=the_InternalRel(sK11_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2548,plain,(
% 7.99/1.58 ~sQ307_spl|sQ308_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ54_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2524,f2542,f2545,f2390,f619,f2405,f661])).
% 7.99/1.58 fof(f2549,definition,(
% 7.99/1.58 sQ309_spl <=> (poset_of_lattice(sK19_skl)=sK8_skl)),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2552,definition,(
% 7.99/1.58 sQ310_spl <=> (relation_of_lattice(sK19_skl)=the_InternalRel(sK8_skl))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2555,plain,(
% 7.99/1.58 ~sQ309_spl|sQ310_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ53_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2525,f2549,f2552,f2390,f619,f2405,f654])).
% 7.99/1.58 fof(f2556,definition,(
% 7.99/1.58 sQ311_spl <=> (relation_of_lattice(sK19_skl)=the_InternalRel(poset_of_lattice(sK18_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2559,plain,(
% 7.99/1.58 ~sQ303_spl|sQ311_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ50_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2526,f2528,f2556,f2390,f619,f2405,f625])).
% 7.99/1.58 fof(f2560,definition,(
% 7.99/1.58 sQ312_spl <=> (relation_of_lattice(sK19_skl)=the_InternalRel(poset_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2563,plain,(
% 7.99/1.58 ~sQ305_spl|sQ312_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2527,f2535,f2560,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2564,plain,(
% 7.99/1.58 $false|sQ305_spl),
% 7.99/1.58 inference(trivial_equality_resolution,[status(thm)],[f2537])).
% 7.99/1.58 fof(f2565,plain,(
% 7.99/1.58 sQ305_spl),
% 7.99/1.58 inference(contradiction_clause,[status(thm)],[f2564])).
% 7.99/1.58 fof(f2566,plain,(
% 7.99/1.58 ~v1_partfun1(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),the_carrier(sK19_skl))|antisymmetric_relstr(rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl)))|~sQ290_spl|~sQ285_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2431,f2503])).
% 7.99/1.58 fof(f2567,definition,(
% 7.99/1.58 sQ313_spl <=> (antisymmetric_relstr(rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2568,plain,(
% 7.99/1.58 antisymmetric_relstr(rel_str_of(the_carrier(sK19_skl),relation_of_lattice(sK19_skl)))|~sQ313_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2567])).
% 7.99/1.58 fof(f2570,plain,(
% 7.99/1.58 ~sQ286_spl|sQ313_spl|~sQ290_spl|~sQ285_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2566,f2409,f2567,f2430,f2405])).
% 7.99/1.58 fof(f2571,plain,(
% 7.99/1.58 antisymmetric_relstr(poset_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ313_spl),
% 7.99/1.58 inference(forward_demodulation,[status(thm)],[f2394,f2568])).
% 7.99/1.58 fof(f2576,plain,(
% 7.99/1.58 element(ordered_pair(sK20_skl,sK21_skl),relation_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl|~sQ71_spl),
% 7.99/1.58 inference(backward_demodulation,[status(thm)],[f2521,f775])).
% 7.99/1.58 fof(f2578,plain,(
% 7.99/1.58 poset_of_lattice(sK19_skl)=rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(backward_demodulation,[status(thm)],[f2521,f630])).
% 7.99/1.58 fof(f2579,plain,(
% 7.99/1.58 ~rel_str(poset_of_lattice(sK19_skl))|one_sorted_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl)))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2521,f2206])).
% 7.99/1.58 fof(f2580,plain,(
% 7.99/1.58 ~rel_str(poset_of_lattice(sK19_skl))|strict_rel_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl)))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2521,f2205])).
% 7.99/1.58 fof(f2581,plain,(
% 7.99/1.58 ~rel_str(poset_of_lattice(sK19_skl))|rel_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl)))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2521,f2204])).
% 7.99/1.58 fof(f2582,plain,(
% 7.99/1.58 ~rel_str(poset_of_lattice(sK19_skl))|relation_of2(relation_of_lattice(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2521,f1077])).
% 7.99/1.58 fof(f2583,plain,(
% 7.99/1.58 ~reflexive_relstr(poset_of_lattice(sK19_skl))|~transitive_relstr(poset_of_lattice(sK19_skl))|~antisymmetric_relstr(poset_of_lattice(sK19_skl))|~rel_str(poset_of_lattice(sK19_skl))|v1_partfun1(relation_of_lattice(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2521,f209])).
% 7.99/1.58 fof(f2588,plain,(
% 7.99/1.58 ~rel_str(poset_of_lattice(sK19_skl))|relation_of2_as_subset(relation_of_lattice(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2521,f170])).
% 7.99/1.58 fof(f2589,plain,(
% 7.99/1.58 ![X0,X1]: (~rel_str(poset_of_lattice(sK19_skl))|~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X1,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),X0,X1)|~in(ordered_pair(X0,X1),relation_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl)),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2521,f124])).
% 7.99/1.58 fof(f2590,definition,(
% 7.99/1.58 sQ314_spl <=> (one_sorted_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2593,plain,(
% 7.99/1.58 ~sQ67_spl|sQ314_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2579,f735,f2590,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2594,definition,(
% 7.99/1.58 sQ315_spl <=> (strict_rel_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2595,plain,(
% 7.99/1.58 strict_rel_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl)))|~sQ315_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2594])).
% 7.99/1.58 fof(f2597,plain,(
% 7.99/1.58 ~sQ67_spl|sQ315_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2580,f735,f2594,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2598,definition,(
% 7.99/1.58 sQ316_spl <=> (rel_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2601,plain,(
% 7.99/1.58 ~sQ67_spl|sQ316_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2581,f735,f2598,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2602,definition,(
% 7.99/1.58 sQ317_spl <=> (relation_of2(relation_of_lattice(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2605,plain,(
% 7.99/1.58 ~sQ67_spl|sQ317_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2582,f735,f2602,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2606,definition,(
% 7.99/1.58 sQ318_spl <=> (transitive_relstr(poset_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2608,plain,(
% 7.99/1.58 ~transitive_relstr(poset_of_lattice(sK19_skl))|sQ318_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2606])).
% 7.99/1.58 fof(f2609,definition,(
% 7.99/1.58 sQ319_spl <=> (antisymmetric_relstr(poset_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2611,plain,(
% 7.99/1.58 ~antisymmetric_relstr(poset_of_lattice(sK19_skl))|sQ319_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2609])).
% 7.99/1.58 fof(f2612,definition,(
% 7.99/1.58 sQ320_spl <=> (v1_partfun1(relation_of_lattice(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2615,plain,(
% 7.99/1.58 ~sQ66_spl|~sQ318_spl|~sQ319_spl|~sQ67_spl|sQ320_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2583,f732,f2606,f2609,f735,f2612,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2620,definition,(
% 7.99/1.58 sQ321_spl <=> (relation_of2_as_subset(relation_of_lattice(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2623,plain,(
% 7.99/1.58 ~sQ67_spl|sQ321_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2588,f735,f2620,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2624,definition,(
% 7.99/1.58 ![X0,X1]: (sQ322_spl <=> (~element(X0,the_carrier(poset_of_lattice(sK19_skl)))|~element(X1,the_carrier(poset_of_lattice(sK19_skl)))|related(poset_of_lattice(sK19_skl),X0,X1)|~in(ordered_pair(X0,X1),relation_of_lattice(sK19_skl))))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2627,plain,(
% 7.99/1.58 ~sQ67_spl|sQ322_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2589,f735,f2624,f2390,f619,f2405,f629])).
% 7.99/1.58 fof(f2628,plain,(
% 7.99/1.58 $false|~sQ283_spl|~sQ49_spl|~sQ313_spl|sQ319_spl),
% 7.99/1.58 inference(forward_subsumption_resolution,[status(thm)],[f2611,f2571])).
% 7.99/1.58 fof(f2629,plain,(
% 7.99/1.58 ~sQ283_spl|~sQ49_spl|~sQ313_spl|sQ319_spl),
% 7.99/1.58 inference(contradiction_clause,[status(thm)],[f2628])).
% 7.99/1.58 fof(f2630,plain,(
% 7.99/1.58 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|sQ318_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2608,f144])).
% 7.99/1.58 fof(f2631,plain,(
% 7.99/1.58 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ318_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2630,f370,f373,f535,f2606])).
% 7.99/1.58 fof(f2632,plain,(
% 7.99/1.58 empty(relation_of_lattice(sK19_skl))|in(ordered_pair(sK20_skl,sK21_skl),relation_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl|~sQ71_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2576,f328])).
% 7.99/1.58 fof(f2633,definition,(
% 7.99/1.58 sQ323_spl <=> (empty(relation_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2634,plain,(
% 7.99/1.58 empty(relation_of_lattice(sK19_skl))|~sQ323_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2633])).
% 7.99/1.58 fof(f2636,definition,(
% 7.99/1.58 sQ324_spl <=> (in(ordered_pair(sK20_skl,sK21_skl),relation_of_lattice(sK19_skl)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2637,plain,(
% 7.99/1.58 in(ordered_pair(sK20_skl,sK21_skl),relation_of_lattice(sK19_skl))|~sQ324_spl),
% 7.99/1.58 inference(component_clause,[status(thm)],[f2636])).
% 7.99/1.58 fof(f2639,plain,(
% 7.99/1.58 sQ323_spl|sQ324_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl|~sQ71_spl),
% 7.99/1.58 inference(split_clause,[status(thm)],[f2632,f2633,f2636,f2390,f619,f2405,f629,f755])).
% 7.99/1.58 fof(f2643,plain,(
% 7.99/1.58 relation_of_lattice(sK19_skl)=empty_set|~sQ323_spl),
% 7.99/1.58 inference(resolution,[status(thm)],[f2634,f344])).
% 7.99/1.58 fof(f2661,plain,(
% 7.99/1.58 ![X0,X1]: (empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|in(ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),X0,X1),empty_set)|~below_refl(sK19_skl,X0,X1)|~sQ323_spl)),
% 7.99/1.58 inference(paramodulation,[status(thm)],[f2643,f332])).
% 7.99/1.58 fof(f2672,definition,(
% 7.99/1.58 ![X0,X1]: (sQ327_spl <=> (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|in(ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),X0,X1),empty_set)|~below_refl(sK19_skl,X0,X1)))),
% 7.99/1.58 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 7.99/1.58 fof(f2673,plain,(
% 7.99/1.58 ![X0,X1]: (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|in(ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),X0,X1),empty_set)|~below_refl(sK19_skl,X0,X1)|~sQ327_spl)),
% 7.99/1.59 inference(component_clause,[status(thm)],[f2672])).
% 7.99/1.59 fof(f2675,plain,(
% 7.99/1.59 sQ2_spl|~sQ3_spl|~sQ36_spl|sQ327_spl|~sQ323_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2661,f370,f373,f535,f2672,f2633])).
% 7.99/1.59 fof(f2676,plain,(
% 7.99/1.59 ![X0,X1]: (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,X1)|~sQ327_spl)),
% 7.99/1.59 inference(forward_subsumption_resolution,[status(thm)],[f2673,f922])).
% 7.99/1.59 fof(f2757,plain,(
% 7.99/1.59 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK19_skl)|the_carrier(sK19_skl)=the_carrier(sK19_skl)|~sQ285_spl|~sQ283_spl|~sQ49_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2394,f2512])).
% 7.99/1.59 fof(f2758,plain,(
% 7.99/1.59 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK18_skl)|the_carrier(sK19_skl)=the_carrier(sK18_skl)|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ282_spl|~sQ48_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2448,f2512])).
% 7.99/1.59 fof(f2759,plain,(
% 7.99/1.59 ~poset_of_lattice(sK19_skl)=sK11_skl|the_carrier(sK19_skl)=the_carrier(sK11_skl)|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ54_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f662,f2512])).
% 7.99/1.59 fof(f2760,plain,(
% 7.99/1.59 ~poset_of_lattice(sK19_skl)=sK8_skl|the_carrier(sK19_skl)=the_carrier(sK8_skl)|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ53_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f655,f2512])).
% 7.99/1.59 fof(f2761,plain,(
% 7.99/1.59 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK18_skl)|the_carrier(sK19_skl)=the_carrier(poset_of_lattice(sK18_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ50_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f626,f2512])).
% 7.99/1.59 fof(f2762,definition,(
% 7.99/1.59 sQ333_spl <=> (the_carrier(sK19_skl)=the_carrier(sK19_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2765,plain,(
% 7.99/1.59 ~sQ305_spl|sQ333_spl|~sQ285_spl|~sQ283_spl|~sQ49_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2757,f2535,f2762,f2405,f2390,f619])).
% 7.99/1.59 fof(f2766,definition,(
% 7.99/1.59 sQ334_spl <=> (the_carrier(sK19_skl)=the_carrier(sK18_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2769,plain,(
% 7.99/1.59 ~sQ303_spl|sQ334_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ282_spl|~sQ48_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2758,f2528,f2766,f2390,f619,f2405,f2386,f615])).
% 7.99/1.59 fof(f2770,definition,(
% 7.99/1.59 sQ335_spl <=> (the_carrier(sK19_skl)=the_carrier(sK11_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2773,plain,(
% 7.99/1.59 ~sQ307_spl|sQ335_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ54_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2759,f2542,f2770,f2390,f619,f2405,f661])).
% 7.99/1.59 fof(f2774,definition,(
% 7.99/1.59 sQ336_spl <=> (the_carrier(sK19_skl)=the_carrier(sK8_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2777,plain,(
% 7.99/1.59 ~sQ309_spl|sQ336_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ53_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2760,f2549,f2774,f2390,f619,f2405,f654])).
% 7.99/1.59 fof(f2778,definition,(
% 7.99/1.59 sQ337_spl <=> (the_carrier(sK19_skl)=the_carrier(poset_of_lattice(sK18_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2781,plain,(
% 7.99/1.59 ~sQ303_spl|sQ337_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ50_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2761,f2528,f2778,f2390,f619,f2405,f625])).
% 7.99/1.59 fof(f2787,plain,(
% 7.99/1.59 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|subset(sK16_skl(X0),the_carrier(X0)))),
% 7.99/1.59 inference(resolution,[status(thm)],[f282,f335])).
% 7.99/1.59 fof(f2801,plain,(
% 7.99/1.59 ~rel_str(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl)))|rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))=rel_str_of(the_carrier(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))),the_InternalRel(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))))|~sQ315_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f2595,f96])).
% 7.99/1.59 fof(f2802,definition,(
% 7.99/1.59 sQ338_spl <=> (rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))=rel_str_of(the_carrier(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl))),the_InternalRel(rel_str_of(the_carrier(poset_of_lattice(sK19_skl)),relation_of_lattice(sK19_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2805,plain,(
% 7.99/1.59 ~sQ316_spl|sQ338_spl|~sQ315_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2801,f2598,f2802,f2594])).
% 7.99/1.59 fof(f2822,plain,(
% 7.99/1.59 the_carrier(sK19_skl)=the_carrier(poset_of_lattice(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f2578,f2512])).
% 7.99/1.59 fof(f2824,plain,(
% 7.99/1.59 ~poset_of_lattice(sK19_skl)=poset_of_lattice(sK19_skl)|the_carrier(sK19_skl)=the_carrier(poset_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2578,f2512])).
% 7.99/1.59 fof(f2828,definition,(
% 7.99/1.59 sQ339_spl <=> (the_carrier(sK19_skl)=the_carrier(poset_of_lattice(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2831,plain,(
% 7.99/1.59 ~sQ305_spl|sQ339_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2824,f2535,f2828,f2390,f619,f2405,f629])).
% 7.99/1.59 fof(f2852,plain,(
% 7.99/1.59 ![X0]: (~element(X0,the_carrier(sK19_skl))|element(cast_to_el_of_LattPOSet(sK19_skl,X0),the_carrier(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ5_spl)),
% 7.99/1.59 inference(backward_demodulation,[status(thm)],[f2822,f386])).
% 7.99/1.59 fof(f2855,plain,(
% 7.99/1.59 empty_carrier(poset_of_lattice(sK19_skl))|~one_sorted_str(poset_of_lattice(sK19_skl))|element(sK16_skl(poset_of_lattice(sK19_skl)),powerset(the_carrier(sK19_skl)))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f282])).
% 7.99/1.59 fof(f2864,plain,(
% 7.99/1.59 ~rel_str(poset_of_lattice(sK19_skl))|one_sorted_str(rel_str_of(the_carrier(sK19_skl),the_InternalRel(poset_of_lattice(sK19_skl))))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f2206])).
% 7.99/1.59 fof(f2865,plain,(
% 7.99/1.59 ~rel_str(poset_of_lattice(sK19_skl))|strict_rel_str(rel_str_of(the_carrier(sK19_skl),the_InternalRel(poset_of_lattice(sK19_skl))))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f2205])).
% 7.99/1.59 fof(f2866,plain,(
% 7.99/1.59 ~rel_str(poset_of_lattice(sK19_skl))|rel_str(rel_str_of(the_carrier(sK19_skl),the_InternalRel(poset_of_lattice(sK19_skl))))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f2204])).
% 7.99/1.59 fof(f2867,plain,(
% 7.99/1.59 ~rel_str(poset_of_lattice(sK19_skl))|relation_of2(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f1077])).
% 7.99/1.59 fof(f2868,plain,(
% 7.99/1.59 ~rel_str(poset_of_lattice(sK19_skl))|relation_of2(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f1077])).
% 7.99/1.59 fof(f2873,plain,(
% 7.99/1.59 ~reflexive_relstr(poset_of_lattice(sK19_skl))|~transitive_relstr(poset_of_lattice(sK19_skl))|~antisymmetric_relstr(poset_of_lattice(sK19_skl))|~rel_str(poset_of_lattice(sK19_skl))|v1_partfun1(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f209])).
% 7.99/1.59 fof(f2874,plain,(
% 7.99/1.59 ~reflexive_relstr(poset_of_lattice(sK19_skl))|~transitive_relstr(poset_of_lattice(sK19_skl))|~antisymmetric_relstr(poset_of_lattice(sK19_skl))|~rel_str(poset_of_lattice(sK19_skl))|v1_partfun1(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f209])).
% 7.99/1.59 fof(f2885,plain,(
% 7.99/1.59 ~rel_str(poset_of_lattice(sK19_skl))|relation_of2_as_subset(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f170])).
% 7.99/1.59 fof(f2886,plain,(
% 7.99/1.59 ~rel_str(poset_of_lattice(sK19_skl))|relation_of2_as_subset(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl),the_carrier(poset_of_lattice(sK19_skl)))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f170])).
% 7.99/1.59 fof(f2902,definition,(
% 7.99/1.59 sQ340_spl <=> (element(sK16_skl(poset_of_lattice(sK19_skl)),powerset(the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2903,plain,(
% 7.99/1.59 element(sK16_skl(poset_of_lattice(sK19_skl)),powerset(the_carrier(sK19_skl)))|~sQ340_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f2902])).
% 7.99/1.59 fof(f2905,plain,(
% 7.99/1.59 sQ65_spl|~sQ137_spl|sQ340_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2855,f729,f1236,f2902,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f2938,definition,(
% 7.99/1.59 sQ349_spl <=> (one_sorted_str(rel_str_of(the_carrier(sK19_skl),the_InternalRel(poset_of_lattice(sK19_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2941,plain,(
% 7.99/1.59 ~sQ67_spl|sQ349_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2864,f735,f2938,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f2942,definition,(
% 7.99/1.59 sQ350_spl <=> (strict_rel_str(rel_str_of(the_carrier(sK19_skl),the_InternalRel(poset_of_lattice(sK19_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2945,plain,(
% 7.99/1.59 ~sQ67_spl|sQ350_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2865,f735,f2942,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f2946,definition,(
% 7.99/1.59 sQ351_spl <=> (rel_str(rel_str_of(the_carrier(sK19_skl),the_InternalRel(poset_of_lattice(sK19_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2949,plain,(
% 7.99/1.59 ~sQ67_spl|sQ351_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2866,f735,f2946,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f2950,definition,(
% 7.99/1.59 sQ352_spl <=> (relation_of2(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2953,plain,(
% 7.99/1.59 ~sQ67_spl|sQ352_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2867,f735,f2950,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f2954,definition,(
% 7.99/1.59 sQ353_spl <=> (relation_of2(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2957,plain,(
% 7.99/1.59 ~sQ67_spl|sQ353_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2868,f735,f2954,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f2980,definition,(
% 7.99/1.59 sQ360_spl <=> (v1_partfun1(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2983,plain,(
% 7.99/1.59 ~sQ66_spl|~sQ318_spl|~sQ319_spl|~sQ67_spl|sQ360_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2873,f732,f2606,f2609,f735,f2980,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f2984,definition,(
% 7.99/1.59 sQ361_spl <=> (v1_partfun1(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f2987,plain,(
% 7.99/1.59 ~sQ66_spl|~sQ318_spl|~sQ319_spl|~sQ67_spl|sQ361_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2874,f732,f2606,f2609,f735,f2984,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f3022,definition,(
% 7.99/1.59 sQ370_spl <=> (relation_of2_as_subset(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3025,plain,(
% 7.99/1.59 ~sQ67_spl|sQ370_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2885,f735,f3022,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f3026,definition,(
% 7.99/1.59 sQ371_spl <=> (relation_of2_as_subset(the_InternalRel(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl),the_carrier(poset_of_lattice(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3029,plain,(
% 7.99/1.59 ~sQ67_spl|sQ371_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f2886,f735,f3026,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f3124,plain,(
% 7.99/1.59 element(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))),the_carrier(sK19_skl))|empty(the_carrier(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ5_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f2852,f1889])).
% 7.99/1.59 fof(f3126,plain,(
% 7.99/1.59 element(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl))|empty(the_carrier(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ5_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f2852,f1771])).
% 7.99/1.59 fof(f3131,definition,(
% 7.99/1.59 sQ388_spl <=> (element(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl))))),the_carrier(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3134,plain,(
% 7.99/1.59 sQ388_spl|sQ132_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ5_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3124,f3131,f1205,f629,f2390,f619,f2405,f385])).
% 7.99/1.59 fof(f3136,definition,(
% 7.99/1.59 sQ389_spl <=> (element(cast_to_el_of_LattPOSet(sK19_skl,sK6_skl(sK9_skl(the_carrier(sK19_skl)))),the_carrier(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3139,plain,(
% 7.99/1.59 sQ389_spl|sQ132_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ5_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3126,f3136,f1205,f629,f2390,f619,f2405,f385])).
% 7.99/1.59 fof(f3152,plain,(
% 7.99/1.59 empty_carrier(poset_of_lattice(sK19_skl))|~one_sorted_str(poset_of_lattice(sK19_skl))|subset(sK16_skl(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl))|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f2822,f2787])).
% 7.99/1.59 fof(f3153,definition,(
% 7.99/1.59 sQ390_spl <=> (subset(sK16_skl(poset_of_lattice(sK19_skl)),the_carrier(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3156,plain,(
% 7.99/1.59 sQ65_spl|~sQ137_spl|sQ390_spl|~sQ51_spl|~sQ283_spl|~sQ49_spl|~sQ285_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3152,f729,f1236,f3153,f629,f2390,f619,f2405])).
% 7.99/1.59 fof(f3160,plain,(
% 7.99/1.59 empty(powerset(the_carrier(sK19_skl)))|in(sK16_skl(poset_of_lattice(sK19_skl)),powerset(the_carrier(sK19_skl)))|~sQ340_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f2903,f328])).
% 7.99/1.59 fof(f3161,definition,(
% 7.99/1.59 sQ391_spl <=> (empty(powerset(the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3162,plain,(
% 7.99/1.59 empty(powerset(the_carrier(sK19_skl)))|~sQ391_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3161])).
% 7.99/1.59 fof(f3164,definition,(
% 7.99/1.59 sQ392_spl <=> (in(sK16_skl(poset_of_lattice(sK19_skl)),powerset(the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3167,plain,(
% 7.99/1.59 sQ391_spl|sQ392_spl|~sQ340_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3160,f3161,f3164,f2902])).
% 7.99/1.59 fof(f3168,plain,(
% 7.99/1.59 $false|~sQ391_spl),
% 7.99/1.59 inference(forward_subsumption_resolution,[status(thm)],[f3162,f196])).
% 7.99/1.59 fof(f3169,plain,(
% 7.99/1.59 ~sQ391_spl),
% 7.99/1.59 inference(contradiction_clause,[status(thm)],[f3168])).
% 7.99/1.59 fof(f3170,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(powerset(the_carrier(sK19_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,powerset(the_carrier(sK19_skl)),X1,sK16_skl(poset_of_lattice(sK19_skl)))=ordered_pair(X1,sK16_skl(poset_of_lattice(sK19_skl)))|~sQ340_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f2903])).
% 7.99/1.59 fof(f3173,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(sK9_skl(sK9_skl(powerset(empty_set))))|~element(X1,X0)|ordered_pair_as_product_element(X0,sK9_skl(sK9_skl(powerset(empty_set))),X1,empty_set)=ordered_pair(X1,empty_set)|~sQ239_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f2167])).
% 7.99/1.59 fof(f3174,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(sK9_skl(powerset(empty_set)))|~element(X1,X0)|ordered_pair_as_product_element(X0,sK9_skl(powerset(empty_set)),X1,empty_set)=ordered_pair(X1,empty_set)|~sQ211_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f1903])).
% 7.99/1.59 fof(f3176,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(sK19_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(X1,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))|~sQ270_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f2266])).
% 7.99/1.59 fof(f3178,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(sK11_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK6_skl(sK9_skl(the_carrier(sK11_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK11_skl))))|~sQ260_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f2151])).
% 7.99/1.59 fof(f3179,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sK18_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sK18_skl)),X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))|~sQ256_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f2119])).
% 7.99/1.59 fof(f3180,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(sK18_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK18_skl),X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))|~sQ255_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f2116])).
% 7.99/1.59 fof(f3181,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(sK19_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK19_skl))))|~sQ233_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f1931])).
% 7.99/1.59 fof(f3183,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(poset_of_lattice(sK18_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sK18_skl)),X1,sK6_skl(the_carrier(sK18_skl)))=ordered_pair(X1,sK6_skl(the_carrier(sK18_skl)))|~sQ88_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f899])).
% 7.99/1.59 fof(f3197,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_InternalRel(sK11_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(sK11_skl),X1,ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))))=ordered_pair(X1,ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))))|~sQ86_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f962])).
% 7.99/1.59 fof(f3202,plain,(
% 7.99/1.59 ![X0,X1,X2]: (empty(X0)|empty(the_InternalRel(poset_of_lattice(sK18_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sK18_skl)),X1,ordered_pair(X2,X2))=ordered_pair(X1,ordered_pair(X2,X2))|~element(X2,the_carrier(poset_of_lattice(sK18_skl)))|~sQ75_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f966])).
% 7.99/1.59 fof(f3203,plain,(
% 7.99/1.59 ![X0,X1,X2]: (empty(X0)|empty(the_carrier(poset_of_lattice(sK18_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sK18_skl)),X1,cast_to_el_of_LattPOSet(sK18_skl,X2))=ordered_pair(X1,cast_to_el_of_LattPOSet(sK18_skl,X2))|~element(X2,the_carrier(sK18_skl))|~sQ24_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f464])).
% 7.99/1.59 fof(f3204,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(sK19_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK21_skl)=ordered_pair(X1,sK21_skl))),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f355])).
% 7.99/1.59 fof(f3205,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(the_carrier(sK19_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK20_skl)=ordered_pair(X1,sK20_skl))),
% 7.99/1.59 inference(resolution,[status(thm)],[f302,f354])).
% 7.99/1.59 fof(f3208,definition,(
% 7.99/1.59 ![X0,X1]: (sQ393_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,powerset(the_carrier(sK19_skl)),X1,sK16_skl(poset_of_lattice(sK19_skl)))=ordered_pair(X1,sK16_skl(poset_of_lattice(sK19_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3211,plain,(
% 7.99/1.59 sQ393_spl|sQ391_spl|~sQ340_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3170,f3208,f3161,f2902])).
% 7.99/1.59 fof(f3214,definition,(
% 7.99/1.59 ![X0,X1]: (sQ394_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,sK9_skl(sK9_skl(powerset(empty_set))),X1,empty_set)=ordered_pair(X1,empty_set)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3217,plain,(
% 7.99/1.59 sQ394_spl|sQ263_spl|~sQ239_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3173,f3214,f2176,f2015])).
% 7.99/1.59 fof(f3218,definition,(
% 7.99/1.59 ![X0,X1]: (sQ395_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,sK9_skl(powerset(empty_set)),X1,empty_set)=ordered_pair(X1,empty_set)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3221,plain,(
% 7.99/1.59 sQ395_spl|sQ230_spl|~sQ211_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3174,f3218,f1906,f1790])).
% 7.99/1.59 fof(f3223,definition,(
% 7.99/1.59 ![X0,X1]: (sQ396_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))=ordered_pair(X1,sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3226,plain,(
% 7.99/1.59 sQ396_spl|sQ132_spl|~sQ270_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3176,f3223,f1205,f2265])).
% 7.99/1.59 fof(f3228,definition,(
% 7.99/1.59 ![X0,X1]: (sQ397_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK11_skl),X1,sK6_skl(sK9_skl(the_carrier(sK11_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK11_skl))))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3231,plain,(
% 7.99/1.59 sQ397_spl|sQ212_spl|~sQ260_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3178,f3228,f1797,f2150])).
% 7.99/1.59 fof(f3232,definition,(
% 7.99/1.59 ![X0,X1]: (sQ398_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sK18_skl)),X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3235,plain,(
% 7.99/1.59 sQ398_spl|sQ108_spl|~sQ256_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3179,f3232,f1112,f2118])).
% 7.99/1.59 fof(f3236,definition,(
% 7.99/1.59 ![X0,X1]: (sQ399_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK18_skl),X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK18_skl))))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3239,plain,(
% 7.99/1.59 sQ399_spl|sQ214_spl|~sQ255_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3180,f3236,f1804,f2115])).
% 7.99/1.59 fof(f3240,definition,(
% 7.99/1.59 ![X0,X1]: (sQ400_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK6_skl(sK9_skl(the_carrier(sK19_skl))))=ordered_pair(X1,sK6_skl(sK9_skl(the_carrier(sK19_skl))))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3243,plain,(
% 7.99/1.59 sQ400_spl|sQ132_spl|~sQ233_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3181,f3240,f1205,f1930])).
% 7.99/1.59 fof(f3245,definition,(
% 7.99/1.59 ![X0,X1]: (sQ401_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sK18_skl)),X1,sK6_skl(the_carrier(sK18_skl)))=ordered_pair(X1,sK6_skl(the_carrier(sK18_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3248,plain,(
% 7.99/1.59 sQ401_spl|sQ108_spl|~sQ88_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3183,f3245,f1112,f898])).
% 7.99/1.59 fof(f3286,definition,(
% 7.99/1.59 ![X0,X1]: (sQ411_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(sK11_skl),X1,ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))))=ordered_pair(X1,ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3289,plain,(
% 7.99/1.59 sQ411_spl|sQ120_spl|~sQ86_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3197,f3286,f1156,f884])).
% 7.99/1.59 fof(f3306,definition,(
% 7.99/1.59 ![X0,X1,X2]: (sQ416_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_InternalRel(poset_of_lattice(sK18_skl)),X1,ordered_pair(X2,X2))=ordered_pair(X1,ordered_pair(X2,X2))|~element(X2,the_carrier(poset_of_lattice(sK18_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3309,plain,(
% 7.99/1.59 sQ416_spl|sQ128_spl|~sQ75_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3202,f3306,f1188,f805])).
% 7.99/1.59 fof(f3310,definition,(
% 7.99/1.59 ![X0,X1,X2]: (sQ417_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(poset_of_lattice(sK18_skl)),X1,cast_to_el_of_LattPOSet(sK18_skl,X2))=ordered_pair(X1,cast_to_el_of_LattPOSet(sK18_skl,X2))|~element(X2,the_carrier(sK18_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3313,plain,(
% 7.99/1.59 sQ417_spl|sQ108_spl|~sQ24_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3203,f3310,f1112,f463])).
% 7.99/1.59 fof(f3314,definition,(
% 7.99/1.59 ![X0,X1]: (sQ418_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK21_skl)=ordered_pair(X1,sK21_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3315,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK21_skl)=ordered_pair(X1,sK21_skl)|~sQ418_spl)),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3314])).
% 7.99/1.59 fof(f3317,plain,(
% 7.99/1.59 sQ418_spl|sQ132_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3204,f3314,f1205])).
% 7.99/1.59 fof(f3318,definition,(
% 7.99/1.59 ![X0,X1]: (sQ419_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK20_skl)=ordered_pair(X1,sK20_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3319,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,the_carrier(sK19_skl),X1,sK20_skl)=ordered_pair(X1,sK20_skl)|~sQ419_spl)),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3318])).
% 7.99/1.59 fof(f3321,plain,(
% 7.99/1.59 sQ419_spl|sQ132_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3205,f3318,f1205])).
% 7.99/1.59 fof(f3324,plain,(
% 7.99/1.59 ~in(ordered_pair(sK20_skl,sK21_skl),relation_of_lattice(sK19_skl))|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl|sQ71_spl),
% 7.99/1.59 inference(forward_demodulation,[status(thm)],[f2521,f757])).
% 7.99/1.59 fof(f3325,plain,(
% 7.99/1.59 ![X0,X1]: (empty_carrier(sK19_skl)|~meet_absorbing(sK19_skl)|~join_absorbing(sK19_skl)|~latt_str(sK19_skl)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|below_refl(sK19_skl,X0,X1)|~below(sK19_skl,X0,X1)|~sQ41_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f312,f561])).
% 7.99/1.59 fof(f3326,plain,(
% 7.99/1.59 ![X0,X1]: (empty_carrier(sK18_skl)|~meet_absorbing(sK18_skl)|~join_absorbing(sK18_skl)|~latt_str(sK18_skl)|~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK18_skl))|below_refl(sK18_skl,X0,X1)|~below(sK18_skl,X0,X1))),
% 7.99/1.59 inference(resolution,[status(thm)],[f312,f294])).
% 7.99/1.59 fof(f3327,definition,(
% 7.99/1.59 ![X0,X1]: (sQ420_spl <=> (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|below_refl(sK19_skl,X0,X1)|~below(sK19_skl,X0,X1)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3330,plain,(
% 7.99/1.59 sQ2_spl|~sQ42_spl|~sQ43_spl|~sQ36_spl|sQ420_spl|~sQ41_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3325,f370,f565,f568,f535,f3327,f560])).
% 7.99/1.59 fof(f3331,definition,(
% 7.99/1.59 ![X0,X1]: (sQ421_spl <=> (~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK18_skl))|below_refl(sK18_skl,X0,X1)|~below(sK18_skl,X0,X1)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3334,plain,(
% 7.99/1.59 sQ22_spl|~sQ26_spl|~sQ27_spl|~sQ28_spl|sQ421_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3326,f457,f472,f475,f478,f3331])).
% 7.99/1.59 fof(f3336,plain,(
% 7.99/1.59 empty_carrier(poset_of_lattice(sK19_skl))|~reflexive_relstr(poset_of_lattice(sK19_skl))|~rel_str(poset_of_lattice(sK19_skl))|~element(sK20_skl,the_carrier(poset_of_lattice(sK19_skl)))|~element(sK21_skl,the_carrier(poset_of_lattice(sK19_skl)))|~related(poset_of_lattice(sK19_skl),sK20_skl,sK21_skl)|~sQ4_spl|sQ1_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f383,f316])).
% 7.99/1.59 fof(f3337,plain,(
% 7.99/1.59 sQ65_spl|~sQ66_spl|~sQ67_spl|~sQ32_spl|~sQ34_spl|~sQ68_spl|~sQ4_spl|sQ1_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3336,f729,f732,f735,f499,f506,f738,f376,f364])).
% 7.99/1.59 fof(f3338,plain,(
% 7.99/1.59 empty(powerset(the_carrier(sK19_skl)))|ordered_pair_as_product_element(powerset(the_carrier(sK19_skl)),the_carrier(sK19_skl),sK16_skl(poset_of_lattice(sK19_skl)),sK21_skl)=ordered_pair(sK16_skl(poset_of_lattice(sK19_skl)),sK21_skl)|~sQ418_spl|~sQ340_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f2903])).
% 7.99/1.59 fof(f3341,plain,(
% 7.99/1.59 empty(sK9_skl(sK9_skl(powerset(empty_set))))|ordered_pair_as_product_element(sK9_skl(sK9_skl(powerset(empty_set))),the_carrier(sK19_skl),empty_set,sK21_skl)=ordered_pair(empty_set,sK21_skl)|~sQ418_spl|~sQ239_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f2167])).
% 7.99/1.59 fof(f3342,plain,(
% 7.99/1.59 empty(sK9_skl(powerset(empty_set)))|ordered_pair_as_product_element(sK9_skl(powerset(empty_set)),the_carrier(sK19_skl),empty_set,sK21_skl)=ordered_pair(empty_set,sK21_skl)|~sQ418_spl|~sQ211_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f1903])).
% 7.99/1.59 fof(f3344,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl)|~sQ418_spl|~sQ270_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f2266])).
% 7.99/1.59 fof(f3346,plain,(
% 7.99/1.59 empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK21_skl)|~sQ418_spl|~sQ260_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f2151])).
% 7.99/1.59 fof(f3347,plain,(
% 7.99/1.59 empty(the_carrier(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl)|~sQ418_spl|~sQ256_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f2119])).
% 7.99/1.59 fof(f3348,plain,(
% 7.99/1.59 empty(the_carrier(sK18_skl))|ordered_pair_as_product_element(the_carrier(sK18_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl)|~sQ418_spl|~sQ255_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f2116])).
% 7.99/1.59 fof(f3349,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)|~sQ418_spl|~sQ233_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f1931])).
% 7.99/1.59 fof(f3351,plain,(
% 7.99/1.59 empty(the_carrier(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(the_carrier(sK18_skl)),sK21_skl)=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK21_skl)|~sQ418_spl|~sQ88_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f899])).
% 7.99/1.59 fof(f3365,plain,(
% 7.99/1.59 empty(the_InternalRel(sK11_skl))|ordered_pair_as_product_element(the_InternalRel(sK11_skl),the_carrier(sK19_skl),ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK21_skl)=ordered_pair(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK21_skl)|~sQ418_spl|~sQ86_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f962])).
% 7.99/1.59 fof(f3369,plain,(
% 7.99/1.59 ![X0]: (empty(the_InternalRel(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_InternalRel(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),ordered_pair(X0,X0),sK21_skl)=ordered_pair(ordered_pair(X0,X0),sK21_skl)|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~sQ418_spl|~sQ75_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f966])).
% 7.99/1.59 fof(f3370,plain,(
% 7.99/1.59 ![X0]: (empty(the_carrier(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),cast_to_el_of_LattPOSet(sK18_skl,X0),sK21_skl)=ordered_pair(cast_to_el_of_LattPOSet(sK18_skl,X0),sK21_skl)|~element(X0,the_carrier(sK18_skl))|~sQ418_spl|~sQ24_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f464])).
% 7.99/1.59 fof(f3371,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK21_skl,sK21_skl)=ordered_pair(sK21_skl,sK21_skl)|~sQ418_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f355])).
% 7.99/1.59 fof(f3372,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK20_skl,sK21_skl)=ordered_pair(sK20_skl,sK21_skl)|~sQ418_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3315,f354])).
% 7.99/1.59 fof(f3375,definition,(
% 7.99/1.59 sQ422_spl <=> (ordered_pair_as_product_element(powerset(the_carrier(sK19_skl)),the_carrier(sK19_skl),sK16_skl(poset_of_lattice(sK19_skl)),sK21_skl)=ordered_pair(sK16_skl(poset_of_lattice(sK19_skl)),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3378,plain,(
% 7.99/1.59 sQ391_spl|sQ422_spl|~sQ418_spl|~sQ340_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3338,f3161,f3375,f3314,f2902])).
% 7.99/1.59 fof(f3381,definition,(
% 7.99/1.59 sQ423_spl <=> (ordered_pair_as_product_element(sK9_skl(sK9_skl(powerset(empty_set))),the_carrier(sK19_skl),empty_set,sK21_skl)=ordered_pair(empty_set,sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3384,plain,(
% 7.99/1.59 sQ263_spl|sQ423_spl|~sQ418_spl|~sQ239_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3341,f2176,f3381,f3314,f2015])).
% 7.99/1.59 fof(f3385,definition,(
% 7.99/1.59 sQ424_spl <=> (ordered_pair_as_product_element(sK9_skl(powerset(empty_set)),the_carrier(sK19_skl),empty_set,sK21_skl)=ordered_pair(empty_set,sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3388,plain,(
% 7.99/1.59 sQ230_spl|sQ424_spl|~sQ418_spl|~sQ211_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3342,f1906,f3385,f3314,f1790])).
% 7.99/1.59 fof(f3390,definition,(
% 7.99/1.59 sQ425_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3393,plain,(
% 7.99/1.59 sQ132_spl|sQ425_spl|~sQ418_spl|~sQ270_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3344,f1205,f3390,f3314,f2265])).
% 7.99/1.59 fof(f3395,definition,(
% 7.99/1.59 sQ426_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3398,plain,(
% 7.99/1.59 sQ212_spl|sQ426_spl|~sQ418_spl|~sQ260_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3346,f1797,f3395,f3314,f2150])).
% 7.99/1.59 fof(f3399,definition,(
% 7.99/1.59 sQ427_spl <=> (ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3402,plain,(
% 7.99/1.59 sQ108_spl|sQ427_spl|~sQ418_spl|~sQ256_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3347,f1112,f3399,f3314,f2118])).
% 7.99/1.59 fof(f3403,definition,(
% 7.99/1.59 sQ428_spl <=> (ordered_pair_as_product_element(the_carrier(sK18_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3406,plain,(
% 7.99/1.59 sQ214_spl|sQ428_spl|~sQ418_spl|~sQ255_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3348,f1804,f3403,f3314,f2115])).
% 7.99/1.59 fof(f3407,definition,(
% 7.99/1.59 sQ429_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3410,plain,(
% 7.99/1.59 sQ132_spl|sQ429_spl|~sQ418_spl|~sQ233_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3349,f1205,f3407,f3314,f1930])).
% 7.99/1.59 fof(f3412,definition,(
% 7.99/1.59 sQ430_spl <=> (ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(the_carrier(sK18_skl)),sK21_skl)=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3415,plain,(
% 7.99/1.59 sQ108_spl|sQ430_spl|~sQ418_spl|~sQ88_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3351,f1112,f3412,f3314,f898])).
% 7.99/1.59 fof(f3453,definition,(
% 7.99/1.59 sQ440_spl <=> (ordered_pair_as_product_element(the_InternalRel(sK11_skl),the_carrier(sK19_skl),ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK21_skl)=ordered_pair(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3456,plain,(
% 7.99/1.59 sQ120_spl|sQ440_spl|~sQ418_spl|~sQ86_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3365,f1156,f3453,f3314,f884])).
% 7.99/1.59 fof(f3469,definition,(
% 7.99/1.59 ![X0]: (sQ444_spl <=> (ordered_pair_as_product_element(the_InternalRel(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),ordered_pair(X0,X0),sK21_skl)=ordered_pair(ordered_pair(X0,X0),sK21_skl)|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3472,plain,(
% 7.99/1.59 sQ128_spl|sQ444_spl|~sQ418_spl|~sQ75_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3369,f1188,f3469,f3314,f805])).
% 7.99/1.59 fof(f3473,definition,(
% 7.99/1.59 ![X0]: (sQ445_spl <=> (ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),cast_to_el_of_LattPOSet(sK18_skl,X0),sK21_skl)=ordered_pair(cast_to_el_of_LattPOSet(sK18_skl,X0),sK21_skl)|~element(X0,the_carrier(sK18_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3476,plain,(
% 7.99/1.59 sQ108_spl|sQ445_spl|~sQ418_spl|~sQ24_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3370,f1112,f3473,f3314,f463])).
% 7.99/1.59 fof(f3477,definition,(
% 7.99/1.59 sQ446_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK21_skl,sK21_skl)=ordered_pair(sK21_skl,sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3478,plain,(
% 7.99/1.59 ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK21_skl,sK21_skl)=ordered_pair(sK21_skl,sK21_skl)|~sQ446_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3477])).
% 7.99/1.59 fof(f3480,plain,(
% 7.99/1.59 sQ132_spl|sQ446_spl|~sQ418_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3371,f1205,f3477,f3314])).
% 7.99/1.59 fof(f3481,definition,(
% 7.99/1.59 sQ447_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK20_skl,sK21_skl)=ordered_pair(sK20_skl,sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3482,plain,(
% 7.99/1.59 ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK20_skl,sK21_skl)=ordered_pair(sK20_skl,sK21_skl)|~sQ447_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3481])).
% 7.99/1.59 fof(f3484,plain,(
% 7.99/1.59 sQ132_spl|sQ447_spl|~sQ418_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3372,f1205,f3481,f3314])).
% 7.99/1.59 fof(f3487,plain,(
% 7.99/1.59 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK21_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|~below_refl(sK19_skl,sK21_skl,sK21_skl)|element(ordered_pair(sK21_skl,sK21_skl),relation_of_lattice(sK19_skl))|~sQ446_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3478,f1001])).
% 7.99/1.59 fof(f3489,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|empty(the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(sK21_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ446_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3478,f134])).
% 7.99/1.59 fof(f3490,definition,(
% 7.99/1.59 sQ448_spl <=> (element(ordered_pair(sK21_skl,sK21_skl),relation_of_lattice(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3491,plain,(
% 7.99/1.59 element(ordered_pair(sK21_skl,sK21_skl),relation_of_lattice(sK19_skl))|~sQ448_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3490])).
% 7.99/1.59 fof(f3493,plain,(
% 7.99/1.59 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ33_spl|~sQ62_spl|sQ448_spl|~sQ446_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3487,f370,f373,f535,f503,f713,f3490,f3477])).
% 7.99/1.59 fof(f3494,definition,(
% 7.99/1.59 sQ449_spl <=> (in(ordered_pair(sK21_skl,sK21_skl),relation_of_lattice(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3498,definition,(
% 7.99/1.59 sQ450_spl <=> (element(ordered_pair(sK21_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3499,plain,(
% 7.99/1.59 element(ordered_pair(sK21_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ450_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3498])).
% 7.99/1.59 fof(f3501,plain,(
% 7.99/1.59 sQ132_spl|~sQ33_spl|sQ450_spl|~sQ446_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3489,f1205,f503,f3498,f3477])).
% 7.99/1.59 fof(f3502,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK21_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK21_skl)|~sQ450_spl|~sQ418_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3499,f3315])).
% 7.99/1.59 fof(f3503,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK21_skl,sK21_skl))=ordered_pair(X1,ordered_pair(sK21_skl,sK21_skl))|~sQ450_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3499,f302])).
% 7.99/1.59 fof(f3504,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|in(ordered_pair(sK21_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ450_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3499,f328])).
% 7.99/1.59 fof(f3505,definition,(
% 7.99/1.59 sQ451_spl <=> (empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3506,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ451_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3505])).
% 7.99/1.59 fof(f3508,definition,(
% 7.99/1.59 sQ452_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK21_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3509,plain,(
% 7.99/1.59 ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK21_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK21_skl)|~sQ452_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3508])).
% 7.99/1.59 fof(f3511,plain,(
% 7.99/1.59 sQ451_spl|sQ452_spl|~sQ450_spl|~sQ418_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3502,f3505,f3508,f3498,f3314])).
% 7.99/1.59 fof(f3512,definition,(
% 7.99/1.59 ![X0,X1]: (sQ453_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK21_skl,sK21_skl))=ordered_pair(X1,ordered_pair(sK21_skl,sK21_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3515,plain,(
% 7.99/1.59 sQ453_spl|sQ451_spl|~sQ450_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3503,f3512,f3505,f3498])).
% 7.99/1.59 fof(f3516,definition,(
% 7.99/1.59 sQ454_spl <=> (in(ordered_pair(sK21_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3519,plain,(
% 7.99/1.59 sQ451_spl|sQ454_spl|~sQ450_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3504,f3505,f3516,f3498])).
% 7.99/1.59 fof(f3521,plain,(
% 7.99/1.59 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|in(ordered_pair(sK20_skl,sK21_skl),relation_of_lattice(sK19_skl))|~below_refl(sK19_skl,sK20_skl,sK21_skl)|~sQ447_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3482,f332])).
% 7.99/1.59 fof(f3522,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|empty(the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(sK20_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ447_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3482,f134])).
% 7.99/1.59 fof(f3527,plain,(
% 7.99/1.59 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ31_spl|~sQ33_spl|sQ324_spl|~sQ0_spl|~sQ447_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3521,f370,f373,f535,f496,f503,f2636,f361,f3481])).
% 7.99/1.59 fof(f3528,definition,(
% 7.99/1.59 sQ456_spl <=> (element(ordered_pair(sK20_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3529,plain,(
% 7.99/1.59 element(ordered_pair(sK20_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ456_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3528])).
% 7.99/1.59 fof(f3531,plain,(
% 7.99/1.59 sQ132_spl|~sQ31_spl|~sQ33_spl|sQ456_spl|~sQ447_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3522,f1205,f496,f503,f3528,f3481])).
% 7.99/1.59 fof(f3532,plain,(
% 7.99/1.59 $false|~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl|sQ71_spl|~sQ324_spl),
% 7.99/1.59 inference(forward_subsumption_resolution,[status(thm)],[f2637,f3324])).
% 7.99/1.59 fof(f3533,plain,(
% 7.99/1.59 ~sQ283_spl|~sQ49_spl|~sQ285_spl|~sQ51_spl|sQ71_spl|~sQ324_spl),
% 7.99/1.59 inference(contradiction_clause,[status(thm)],[f3532])).
% 7.99/1.59 fof(f3550,plain,(
% 7.99/1.59 empty(powerset(the_carrier(sK19_skl)))|ordered_pair_as_product_element(powerset(the_carrier(sK19_skl)),the_carrier(sK19_skl),sK16_skl(poset_of_lattice(sK19_skl)),sK20_skl)=ordered_pair(sK16_skl(poset_of_lattice(sK19_skl)),sK20_skl)|~sQ419_spl|~sQ340_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f2903])).
% 7.99/1.59 fof(f3553,plain,(
% 7.99/1.59 empty(sK9_skl(sK9_skl(powerset(empty_set))))|ordered_pair_as_product_element(sK9_skl(sK9_skl(powerset(empty_set))),the_carrier(sK19_skl),empty_set,sK20_skl)=ordered_pair(empty_set,sK20_skl)|~sQ419_spl|~sQ239_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f2167])).
% 7.99/1.59 fof(f3554,plain,(
% 7.99/1.59 empty(sK9_skl(powerset(empty_set)))|ordered_pair_as_product_element(sK9_skl(powerset(empty_set)),the_carrier(sK19_skl),empty_set,sK20_skl)=ordered_pair(empty_set,sK20_skl)|~sQ419_spl|~sQ211_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f1903])).
% 7.99/1.59 fof(f3556,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl)|~sQ419_spl|~sQ270_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f2266])).
% 7.99/1.59 fof(f3558,plain,(
% 7.99/1.59 empty(the_carrier(sK11_skl))|ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK20_skl)|~sQ419_spl|~sQ260_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f2151])).
% 7.99/1.59 fof(f3559,plain,(
% 7.99/1.59 empty(the_carrier(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl)|~sQ419_spl|~sQ256_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f2119])).
% 7.99/1.59 fof(f3560,plain,(
% 7.99/1.59 empty(the_carrier(sK18_skl))|ordered_pair_as_product_element(the_carrier(sK18_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl)|~sQ419_spl|~sQ255_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f2116])).
% 7.99/1.59 fof(f3561,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)|~sQ419_spl|~sQ233_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f1931])).
% 7.99/1.59 fof(f3563,plain,(
% 7.99/1.59 empty(the_carrier(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(the_carrier(sK18_skl)),sK20_skl)=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK20_skl)|~sQ419_spl|~sQ88_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f899])).
% 7.99/1.59 fof(f3569,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK20_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK20_skl)|~sQ419_spl|~sQ450_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f3499])).
% 7.99/1.59 fof(f3578,plain,(
% 7.99/1.59 empty(the_InternalRel(sK11_skl))|ordered_pair_as_product_element(the_InternalRel(sK11_skl),the_carrier(sK19_skl),ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK20_skl)=ordered_pair(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK20_skl)|~sQ419_spl|~sQ86_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f962])).
% 7.99/1.59 fof(f3582,plain,(
% 7.99/1.59 ![X0]: (empty(the_InternalRel(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_InternalRel(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),ordered_pair(X0,X0),sK20_skl)=ordered_pair(ordered_pair(X0,X0),sK20_skl)|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))|~sQ419_spl|~sQ75_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f966])).
% 7.99/1.59 fof(f3583,plain,(
% 7.99/1.59 ![X0]: (empty(the_carrier(poset_of_lattice(sK18_skl)))|ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),cast_to_el_of_LattPOSet(sK18_skl,X0),sK20_skl)=ordered_pair(cast_to_el_of_LattPOSet(sK18_skl,X0),sK20_skl)|~element(X0,the_carrier(sK18_skl))|~sQ419_spl|~sQ24_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f464])).
% 7.99/1.59 fof(f3584,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK21_skl,sK20_skl)=ordered_pair(sK21_skl,sK20_skl)|~sQ419_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f355])).
% 7.99/1.59 fof(f3585,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK20_skl,sK20_skl)=ordered_pair(sK20_skl,sK20_skl)|~sQ419_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3319,f354])).
% 7.99/1.59 fof(f3588,definition,(
% 7.99/1.59 sQ458_spl <=> (ordered_pair_as_product_element(powerset(the_carrier(sK19_skl)),the_carrier(sK19_skl),sK16_skl(poset_of_lattice(sK19_skl)),sK20_skl)=ordered_pair(sK16_skl(poset_of_lattice(sK19_skl)),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3591,plain,(
% 7.99/1.59 sQ391_spl|sQ458_spl|~sQ419_spl|~sQ340_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3550,f3161,f3588,f3318,f2902])).
% 7.99/1.59 fof(f3594,definition,(
% 7.99/1.59 sQ459_spl <=> (ordered_pair_as_product_element(sK9_skl(sK9_skl(powerset(empty_set))),the_carrier(sK19_skl),empty_set,sK20_skl)=ordered_pair(empty_set,sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3597,plain,(
% 7.99/1.59 sQ263_spl|sQ459_spl|~sQ419_spl|~sQ239_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3553,f2176,f3594,f3318,f2015])).
% 7.99/1.59 fof(f3598,definition,(
% 7.99/1.59 sQ460_spl <=> (ordered_pair_as_product_element(sK9_skl(powerset(empty_set)),the_carrier(sK19_skl),empty_set,sK20_skl)=ordered_pair(empty_set,sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3601,plain,(
% 7.99/1.59 sQ230_spl|sQ460_spl|~sQ419_spl|~sQ211_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3554,f1906,f3598,f3318,f1790])).
% 7.99/1.59 fof(f3603,definition,(
% 7.99/1.59 sQ461_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(sK9_skl(the_carrier(sK19_skl)))),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3606,plain,(
% 7.99/1.59 sQ132_spl|sQ461_spl|~sQ419_spl|~sQ270_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3556,f1205,f3603,f3318,f2265])).
% 7.99/1.59 fof(f3608,definition,(
% 7.99/1.59 sQ462_spl <=> (ordered_pair_as_product_element(the_carrier(sK11_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK11_skl))),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3611,plain,(
% 7.99/1.59 sQ212_spl|sQ462_spl|~sQ419_spl|~sQ260_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3558,f1797,f3608,f3318,f2150])).
% 7.99/1.59 fof(f3612,definition,(
% 7.99/1.59 sQ463_spl <=> (ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3615,plain,(
% 7.99/1.59 sQ108_spl|sQ463_spl|~sQ419_spl|~sQ256_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3559,f1112,f3612,f3318,f2118])).
% 7.99/1.59 fof(f3616,definition,(
% 7.99/1.59 sQ464_spl <=> (ordered_pair_as_product_element(the_carrier(sK18_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK18_skl))),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3619,plain,(
% 7.99/1.59 sQ214_spl|sQ464_spl|~sQ419_spl|~sQ255_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3560,f1804,f3616,f3318,f2115])).
% 7.99/1.59 fof(f3620,definition,(
% 7.99/1.59 sQ465_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl)=ordered_pair(sK6_skl(sK9_skl(the_carrier(sK19_skl))),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3623,plain,(
% 7.99/1.59 sQ132_spl|sQ465_spl|~sQ419_spl|~sQ233_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3561,f1205,f3620,f3318,f1930])).
% 7.99/1.59 fof(f3625,definition,(
% 7.99/1.59 sQ466_spl <=> (ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),sK6_skl(the_carrier(sK18_skl)),sK20_skl)=ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3628,plain,(
% 7.99/1.59 sQ108_spl|sQ466_spl|~sQ419_spl|~sQ88_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3563,f1112,f3625,f3318,f898])).
% 7.99/1.59 fof(f3634,definition,(
% 7.99/1.59 sQ468_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK20_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3637,plain,(
% 7.99/1.59 sQ451_spl|sQ468_spl|~sQ419_spl|~sQ450_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3569,f3505,f3634,f3318,f3498])).
% 7.99/1.59 fof(f3670,definition,(
% 7.99/1.59 sQ477_spl <=> (ordered_pair_as_product_element(the_InternalRel(sK11_skl),the_carrier(sK19_skl),ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK20_skl)=ordered_pair(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3673,plain,(
% 7.99/1.59 sQ120_spl|sQ477_spl|~sQ419_spl|~sQ86_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3578,f1156,f3670,f3318,f884])).
% 7.99/1.59 fof(f3686,definition,(
% 7.99/1.59 ![X0]: (sQ481_spl <=> (ordered_pair_as_product_element(the_InternalRel(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),ordered_pair(X0,X0),sK20_skl)=ordered_pair(ordered_pair(X0,X0),sK20_skl)|~element(X0,the_carrier(poset_of_lattice(sK18_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3689,plain,(
% 7.99/1.59 sQ128_spl|sQ481_spl|~sQ419_spl|~sQ75_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3582,f1188,f3686,f3318,f805])).
% 7.99/1.59 fof(f3690,definition,(
% 7.99/1.59 ![X0]: (sQ482_spl <=> (ordered_pair_as_product_element(the_carrier(poset_of_lattice(sK18_skl)),the_carrier(sK19_skl),cast_to_el_of_LattPOSet(sK18_skl,X0),sK20_skl)=ordered_pair(cast_to_el_of_LattPOSet(sK18_skl,X0),sK20_skl)|~element(X0,the_carrier(sK18_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3693,plain,(
% 7.99/1.59 sQ108_spl|sQ482_spl|~sQ419_spl|~sQ24_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3583,f1112,f3690,f3318,f463])).
% 7.99/1.59 fof(f3694,definition,(
% 7.99/1.59 sQ483_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK21_skl,sK20_skl)=ordered_pair(sK21_skl,sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3695,plain,(
% 7.99/1.59 ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK21_skl,sK20_skl)=ordered_pair(sK21_skl,sK20_skl)|~sQ483_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3694])).
% 7.99/1.59 fof(f3697,plain,(
% 7.99/1.59 sQ132_spl|sQ483_spl|~sQ419_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3584,f1205,f3694,f3318])).
% 7.99/1.59 fof(f3698,definition,(
% 7.99/1.59 sQ484_spl <=> (ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK20_skl,sK20_skl)=ordered_pair(sK20_skl,sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3699,plain,(
% 7.99/1.59 ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),sK20_skl,sK20_skl)=ordered_pair(sK20_skl,sK20_skl)|~sQ484_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3698])).
% 7.99/1.59 fof(f3701,plain,(
% 7.99/1.59 sQ132_spl|sQ484_spl|~sQ419_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3585,f1205,f3698,f3318])).
% 7.99/1.59 fof(f3704,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK21_skl),sK20_skl)=ordered_pair(ordered_pair(sK20_skl,sK21_skl),sK20_skl)|~sQ456_spl|~sQ419_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3529,f3319])).
% 7.99/1.59 fof(f3705,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK21_skl),sK21_skl)=ordered_pair(ordered_pair(sK20_skl,sK21_skl),sK21_skl)|~sQ456_spl|~sQ418_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3529,f3315])).
% 7.99/1.59 fof(f3706,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK20_skl,sK21_skl))=ordered_pair(X1,ordered_pair(sK20_skl,sK21_skl))|~sQ456_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3529,f302])).
% 7.99/1.59 fof(f3707,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|in(ordered_pair(sK20_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ456_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3529,f328])).
% 7.99/1.59 fof(f3708,definition,(
% 7.99/1.59 sQ485_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK21_skl),sK20_skl)=ordered_pair(ordered_pair(sK20_skl,sK21_skl),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3711,plain,(
% 7.99/1.59 sQ451_spl|sQ485_spl|~sQ456_spl|~sQ419_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3704,f3505,f3708,f3528,f3318])).
% 7.99/1.59 fof(f3712,definition,(
% 7.99/1.59 sQ486_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK21_skl),sK21_skl)=ordered_pair(ordered_pair(sK20_skl,sK21_skl),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3715,plain,(
% 7.99/1.59 sQ451_spl|sQ486_spl|~sQ456_spl|~sQ418_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3705,f3505,f3712,f3528,f3314])).
% 7.99/1.59 fof(f3716,definition,(
% 7.99/1.59 ![X0,X1]: (sQ487_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK20_skl,sK21_skl))=ordered_pair(X1,ordered_pair(sK20_skl,sK21_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3719,plain,(
% 7.99/1.59 sQ487_spl|sQ451_spl|~sQ456_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3706,f3716,f3505,f3528])).
% 7.99/1.59 fof(f3720,definition,(
% 7.99/1.59 sQ488_spl <=> (in(ordered_pair(sK20_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3723,plain,(
% 7.99/1.59 sQ451_spl|sQ488_spl|~sQ456_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3707,f3505,f3720,f3528])).
% 7.99/1.59 fof(f3724,plain,(
% 7.99/1.59 ~element(sK21_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|~sQ327_spl|~sQ62_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f2676,f714])).
% 7.99/1.59 fof(f3726,plain,(
% 7.99/1.59 ~sQ33_spl|~sQ327_spl|~sQ62_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3724,f503,f2672,f713])).
% 7.99/1.59 fof(f3730,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|empty(the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|element(ordered_pair(sK21_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ483_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3695,f134])).
% 7.99/1.59 fof(f3742,definition,(
% 7.99/1.59 sQ492_spl <=> (element(ordered_pair(sK21_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3743,plain,(
% 7.99/1.59 element(ordered_pair(sK21_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ492_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3742])).
% 7.99/1.59 fof(f3745,plain,(
% 7.99/1.59 sQ132_spl|~sQ33_spl|~sQ31_spl|sQ492_spl|~sQ483_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3730,f1205,f503,f496,f3742,f3694])).
% 7.99/1.59 fof(f3746,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK20_skl),sK20_skl)=ordered_pair(ordered_pair(sK21_skl,sK20_skl),sK20_skl)|~sQ492_spl|~sQ419_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3743,f3319])).
% 7.99/1.59 fof(f3747,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK20_skl),sK21_skl)=ordered_pair(ordered_pair(sK21_skl,sK20_skl),sK21_skl)|~sQ492_spl|~sQ418_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3743,f3315])).
% 7.99/1.59 fof(f3748,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK21_skl,sK20_skl))=ordered_pair(X1,ordered_pair(sK21_skl,sK20_skl))|~sQ492_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3743,f302])).
% 7.99/1.59 fof(f3749,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|in(ordered_pair(sK21_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ492_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3743,f328])).
% 7.99/1.59 fof(f3750,definition,(
% 7.99/1.59 sQ493_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK20_skl),sK20_skl)=ordered_pair(ordered_pair(sK21_skl,sK20_skl),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3753,plain,(
% 7.99/1.59 sQ451_spl|sQ493_spl|~sQ492_spl|~sQ419_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3746,f3505,f3750,f3742,f3318])).
% 7.99/1.59 fof(f3754,definition,(
% 7.99/1.59 sQ494_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK20_skl),sK21_skl)=ordered_pair(ordered_pair(sK21_skl,sK20_skl),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3757,plain,(
% 7.99/1.59 sQ451_spl|sQ494_spl|~sQ492_spl|~sQ418_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3747,f3505,f3754,f3742,f3314])).
% 7.99/1.59 fof(f3758,definition,(
% 7.99/1.59 ![X0,X1]: (sQ495_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK21_skl,sK20_skl))=ordered_pair(X1,ordered_pair(sK21_skl,sK20_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3761,plain,(
% 7.99/1.59 sQ495_spl|sQ451_spl|~sQ492_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3748,f3758,f3505,f3742])).
% 7.99/1.59 fof(f3762,definition,(
% 7.99/1.59 sQ496_spl <=> (in(ordered_pair(sK21_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3765,plain,(
% 7.99/1.59 sQ451_spl|sQ496_spl|~sQ492_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3749,f3505,f3762,f3742])).
% 7.99/1.59 fof(f3766,plain,(
% 7.99/1.59 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|~below_refl(sK19_skl,sK20_skl,sK20_skl)|element(ordered_pair(sK20_skl,sK20_skl),relation_of_lattice(sK19_skl))|~sQ484_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3699,f1001])).
% 7.99/1.59 fof(f3767,plain,(
% 7.99/1.59 empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|in(ordered_pair(sK20_skl,sK20_skl),relation_of_lattice(sK19_skl))|~below_refl(sK19_skl,sK20_skl,sK20_skl)|~sQ484_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3699,f332])).
% 7.99/1.59 fof(f3768,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|empty(the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|~element(sK20_skl,the_carrier(sK19_skl))|element(ordered_pair(sK20_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ484_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3699,f134])).
% 7.99/1.59 fof(f3769,definition,(
% 7.99/1.59 sQ497_spl <=> (below_refl(sK19_skl,sK20_skl,sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3771,plain,(
% 7.99/1.59 ~below_refl(sK19_skl,sK20_skl,sK20_skl)|sQ497_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3769])).
% 7.99/1.59 fof(f3772,definition,(
% 7.99/1.59 sQ498_spl <=> (element(ordered_pair(sK20_skl,sK20_skl),relation_of_lattice(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3775,plain,(
% 7.99/1.59 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ31_spl|~sQ497_spl|sQ498_spl|~sQ484_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3766,f370,f373,f535,f496,f3769,f3772,f3698])).
% 7.99/1.59 fof(f3776,definition,(
% 7.99/1.59 sQ499_spl <=> (in(ordered_pair(sK20_skl,sK20_skl),relation_of_lattice(sK19_skl)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3779,plain,(
% 7.99/1.59 sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ31_spl|sQ499_spl|~sQ497_spl|~sQ484_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3767,f370,f373,f535,f496,f3776,f3769,f3698])).
% 7.99/1.59 fof(f3780,definition,(
% 7.99/1.59 sQ500_spl <=> (element(ordered_pair(sK20_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3781,plain,(
% 7.99/1.59 element(ordered_pair(sK20_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ500_spl),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3780])).
% 7.99/1.59 fof(f3783,plain,(
% 7.99/1.59 sQ132_spl|~sQ31_spl|sQ500_spl|~sQ484_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3768,f1205,f496,f3780,f3698])).
% 7.99/1.59 fof(f3784,plain,(
% 7.99/1.59 ~element(sK20_skl,the_carrier(sK19_skl))|sQ497_spl|~sQ44_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3771,f572])).
% 7.99/1.59 fof(f3785,plain,(
% 7.99/1.59 ~sQ31_spl|sQ497_spl|~sQ44_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3784,f496,f3769,f571])).
% 7.99/1.59 fof(f3788,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK20_skl),sK20_skl)=ordered_pair(ordered_pair(sK20_skl,sK20_skl),sK20_skl)|~sQ500_spl|~sQ419_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3781,f3319])).
% 7.99/1.59 fof(f3789,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK20_skl),sK21_skl)=ordered_pair(ordered_pair(sK20_skl,sK20_skl),sK21_skl)|~sQ500_spl|~sQ418_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3781,f3315])).
% 7.99/1.59 fof(f3790,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK20_skl,sK20_skl))=ordered_pair(X1,ordered_pair(sK20_skl,sK20_skl))|~sQ500_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3781,f302])).
% 7.99/1.59 fof(f3791,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|in(ordered_pair(sK20_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~sQ500_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3781,f328])).
% 7.99/1.59 fof(f3792,definition,(
% 7.99/1.59 sQ501_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK20_skl),sK20_skl)=ordered_pair(ordered_pair(sK20_skl,sK20_skl),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3795,plain,(
% 7.99/1.59 sQ451_spl|sQ501_spl|~sQ500_spl|~sQ419_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3788,f3505,f3792,f3780,f3318])).
% 7.99/1.59 fof(f3796,definition,(
% 7.99/1.59 sQ502_spl <=> (ordered_pair_as_product_element(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl),ordered_pair(sK20_skl,sK20_skl),sK21_skl)=ordered_pair(ordered_pair(sK20_skl,sK20_skl),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3799,plain,(
% 7.99/1.59 sQ451_spl|sQ502_spl|~sQ500_spl|~sQ418_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3789,f3505,f3796,f3780,f3314])).
% 7.99/1.59 fof(f3800,definition,(
% 7.99/1.59 ![X0,X1]: (sQ503_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),X1,ordered_pair(sK20_skl,sK20_skl))=ordered_pair(X1,ordered_pair(sK20_skl,sK20_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3803,plain,(
% 7.99/1.59 sQ503_spl|sQ451_spl|~sQ500_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3790,f3800,f3505,f3780])).
% 7.99/1.59 fof(f3804,definition,(
% 7.99/1.59 sQ504_spl <=> (in(ordered_pair(sK20_skl,sK20_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3807,plain,(
% 7.99/1.59 sQ451_spl|sQ504_spl|~sQ500_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3791,f3505,f3804,f3780])).
% 7.99/1.59 fof(f3811,plain,(
% 7.99/1.59 the_InternalRel(sK11_skl)=empty_set|~sQ120_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f1157,f344])).
% 7.99/1.59 fof(f3816,plain,(
% 7.99/1.59 in(ordered_pair(sK6_skl(the_carrier(sK11_skl)),sK6_skl(the_carrier(sK11_skl))),empty_set)|~sQ120_spl|~sQ86_spl),
% 7.99/1.59 inference(backward_demodulation,[status(thm)],[f3811,f885])).
% 7.99/1.59 fof(f3828,plain,(
% 7.99/1.59 $false|~sQ120_spl|~sQ86_spl),
% 7.99/1.59 inference(forward_subsumption_resolution,[status(thm)],[f3816,f922])).
% 7.99/1.59 fof(f3829,plain,(
% 7.99/1.59 ~sQ120_spl|~sQ86_spl),
% 7.99/1.59 inference(contradiction_clause,[status(thm)],[f3828])).
% 7.99/1.59 fof(f3834,plain,(
% 7.99/1.59 ![X0,X1]: (empty_carrier(sK18_skl)|~latt_str(sK18_skl)|~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK18_skl))|~in(ordered_pair_as_product_element(the_carrier(sK18_skl),the_carrier(sK18_skl),X0,X1),relation_of_lattice(sK18_skl))|below_refl(sK18_skl,X0,X1))),
% 7.99/1.59 inference(resolution,[status(thm)],[f331,f298])).
% 7.99/1.59 fof(f3835,plain,(
% 7.99/1.59 ![X0,X1]: (empty_carrier(sK19_skl)|~latt_str(sK19_skl)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~in(ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),X0,X1),relation_of_lattice(sK19_skl))|below_refl(sK19_skl,X0,X1))),
% 7.99/1.59 inference(resolution,[status(thm)],[f331,f352])).
% 7.99/1.59 fof(f3836,definition,(
% 7.99/1.59 ![X0,X1]: (sQ505_spl <=> (~element(X0,the_carrier(sK18_skl))|~element(X1,the_carrier(sK18_skl))|~in(ordered_pair_as_product_element(the_carrier(sK18_skl),the_carrier(sK18_skl),X0,X1),relation_of_lattice(sK18_skl))|below_refl(sK18_skl,X0,X1)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3839,plain,(
% 7.99/1.59 sQ22_spl|~sQ28_spl|sQ505_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3834,f457,f478,f3836])).
% 7.99/1.59 fof(f3840,definition,(
% 7.99/1.59 ![X0,X1]: (sQ506_spl <=> (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~in(ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),X0,X1),relation_of_lattice(sK19_skl))|below_refl(sK19_skl,X0,X1)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3841,plain,(
% 7.99/1.59 ![X0,X1]: (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~in(ordered_pair_as_product_element(the_carrier(sK19_skl),the_carrier(sK19_skl),X0,X1),relation_of_lattice(sK19_skl))|below_refl(sK19_skl,X0,X1)|~sQ506_spl)),
% 7.99/1.59 inference(component_clause,[status(thm)],[f3840])).
% 7.99/1.59 fof(f3843,plain,(
% 7.99/1.59 sQ2_spl|~sQ36_spl|sQ506_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3835,f370,f535,f3840])).
% 7.99/1.59 fof(f3844,plain,(
% 7.99/1.59 ![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))))),
% 7.99/1.59 inference(forward_subsumption_resolution,[status(thm)],[f609,f151])).
% 7.99/1.59 fof(f3848,plain,(
% 7.99/1.59 ![X0]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(sK18_skl)|k8_filter_1(X0,sK18_skl)=latt_str_of(the_carrier(k8_filter_1(X0,sK18_skl)),the_L_join(k8_filter_1(X0,sK18_skl)),the_L_meet(k8_filter_1(X0,sK18_skl))))),
% 7.99/1.59 inference(resolution,[status(thm)],[f3844,f289])).
% 7.99/1.59 fof(f3849,plain,(
% 7.99/1.59 ![X0]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(sK17_skl)|k8_filter_1(X0,sK17_skl)=latt_str_of(the_carrier(k8_filter_1(X0,sK17_skl)),the_L_join(k8_filter_1(X0,sK17_skl)),the_L_meet(k8_filter_1(X0,sK17_skl))))),
% 7.99/1.59 inference(resolution,[status(thm)],[f3844,f285])).
% 7.99/1.59 fof(f3852,plain,(
% 7.99/1.59 ![X0]: (empty_carrier(X0)|~latt_str(X0)|empty_carrier(sK19_skl)|k8_filter_1(X0,sK19_skl)=latt_str_of(the_carrier(k8_filter_1(X0,sK19_skl)),the_L_join(k8_filter_1(X0,sK19_skl)),the_L_meet(k8_filter_1(X0,sK19_skl))))),
% 7.99/1.59 inference(resolution,[status(thm)],[f3844,f353])).
% 7.99/1.59 fof(f3861,definition,(
% 7.99/1.59 ![X0]: (sQ509_spl <=> (empty_carrier(X0)|~latt_str(X0)|k8_filter_1(X0,sK18_skl)=latt_str_of(the_carrier(k8_filter_1(X0,sK18_skl)),the_L_join(k8_filter_1(X0,sK18_skl)),the_L_meet(k8_filter_1(X0,sK18_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3864,plain,(
% 7.99/1.59 sQ509_spl|sQ22_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3848,f3861,f457])).
% 7.99/1.59 fof(f3865,definition,(
% 7.99/1.59 ![X0]: (sQ510_spl <=> (empty_carrier(X0)|~latt_str(X0)|k8_filter_1(X0,sK17_skl)=latt_str_of(the_carrier(k8_filter_1(X0,sK17_skl)),the_L_join(k8_filter_1(X0,sK17_skl)),the_L_meet(k8_filter_1(X0,sK17_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3868,plain,(
% 7.99/1.59 sQ510_spl|sQ18_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3849,f3865,f441])).
% 7.99/1.59 fof(f3877,definition,(
% 7.99/1.59 ![X0]: (sQ513_spl <=> (empty_carrier(X0)|~latt_str(X0)|k8_filter_1(X0,sK19_skl)=latt_str_of(the_carrier(k8_filter_1(X0,sK19_skl)),the_L_join(k8_filter_1(X0,sK19_skl)),the_L_meet(k8_filter_1(X0,sK19_skl)))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3880,plain,(
% 7.99/1.59 sQ513_spl|sQ2_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3852,f3877,f370])).
% 7.99/1.59 fof(f3885,plain,(
% 7.99/1.59 empty(relation_of_lattice(sK19_skl))|ordered_pair_as_product_element(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK20_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK20_skl)|~sQ448_spl|~sQ419_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3491,f3319])).
% 7.99/1.59 fof(f3886,plain,(
% 7.99/1.59 empty(relation_of_lattice(sK19_skl))|ordered_pair_as_product_element(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK21_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK21_skl)|~sQ448_spl|~sQ418_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3491,f3315])).
% 7.99/1.59 fof(f3887,plain,(
% 7.99/1.59 ![X0,X1]: (empty(X0)|empty(relation_of_lattice(sK19_skl))|~element(X1,X0)|ordered_pair_as_product_element(X0,relation_of_lattice(sK19_skl),X1,ordered_pair(sK21_skl,sK21_skl))=ordered_pair(X1,ordered_pair(sK21_skl,sK21_skl))|~sQ448_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3491,f302])).
% 7.99/1.59 fof(f3888,plain,(
% 7.99/1.59 empty(relation_of_lattice(sK19_skl))|in(ordered_pair(sK21_skl,sK21_skl),relation_of_lattice(sK19_skl))|~sQ448_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3491,f328])).
% 7.99/1.59 fof(f3889,definition,(
% 7.99/1.59 sQ514_spl <=> (ordered_pair_as_product_element(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK20_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK20_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3892,plain,(
% 7.99/1.59 sQ323_spl|sQ514_spl|~sQ448_spl|~sQ419_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3885,f2633,f3889,f3490,f3318])).
% 7.99/1.59 fof(f3893,definition,(
% 7.99/1.59 sQ515_spl <=> (ordered_pair_as_product_element(relation_of_lattice(sK19_skl),the_carrier(sK19_skl),ordered_pair(sK21_skl,sK21_skl),sK21_skl)=ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK21_skl))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3896,plain,(
% 7.99/1.59 sQ323_spl|sQ515_spl|~sQ448_spl|~sQ418_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3886,f2633,f3893,f3490,f3314])).
% 7.99/1.59 fof(f3897,definition,(
% 7.99/1.59 ![X0,X1]: (sQ516_spl <=> (empty(X0)|~element(X1,X0)|ordered_pair_as_product_element(X0,relation_of_lattice(sK19_skl),X1,ordered_pair(sK21_skl,sK21_skl))=ordered_pair(X1,ordered_pair(sK21_skl,sK21_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3900,plain,(
% 7.99/1.59 sQ516_spl|sQ323_spl|~sQ448_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3887,f3897,f2633,f3490])).
% 7.99/1.59 fof(f3901,plain,(
% 7.99/1.59 sQ323_spl|sQ449_spl|~sQ448_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3888,f2633,f3494,f3490])).
% 7.99/1.59 fof(f3904,plain,(
% 7.99/1.59 empty(the_carrier(sK19_skl))|empty(the_carrier(sK19_skl))|~sQ451_spl),
% 7.99/1.59 inference(resolution,[status(thm)],[f3506,f239])).
% 7.99/1.59 fof(f3909,plain,(
% 7.99/1.59 sQ132_spl|~sQ451_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3904,f1205,f3505])).
% 7.99/1.59 fof(f3910,plain,(
% 7.99/1.59 empty(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|empty(the_carrier(sK19_skl))|~element(ordered_pair(sK21_skl,sK21_skl),cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)))|~element(sK21_skl,the_carrier(sK19_skl))|element(ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK21_skl),cartesian_product2(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl)))|~sQ452_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3509,f134])).
% 7.99/1.59 fof(f3911,definition,(
% 7.99/1.59 sQ517_spl <=> (element(ordered_pair(ordered_pair(sK21_skl,sK21_skl),sK21_skl),cartesian_product2(cartesian_product2(the_carrier(sK19_skl),the_carrier(sK19_skl)),the_carrier(sK19_skl))))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3914,plain,(
% 7.99/1.59 sQ451_spl|sQ132_spl|~sQ450_spl|~sQ33_spl|sQ517_spl|~sQ452_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3910,f3505,f1205,f3498,f503,f3911,f3508])).
% 7.99/1.59 fof(f3938,plain,(
% 7.99/1.59 ![X0,X1]: (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|below_refl(sK19_skl,X0,X1)|empty_carrier(sK19_skl)|~lattice(sK19_skl)|~latt_str(sK19_skl)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,X1)|~sQ506_spl)),
% 7.99/1.59 inference(resolution,[status(thm)],[f3841,f332])).
% 7.99/1.59 fof(f3940,plain,(
% 7.99/1.59 ~element(sK20_skl,the_carrier(sK19_skl))|~element(sK21_skl,the_carrier(sK19_skl))|~in(ordered_pair(sK20_skl,sK21_skl),relation_of_lattice(sK19_skl))|below_refl(sK19_skl,sK20_skl,sK21_skl)|~sQ506_spl|~sQ447_spl),
% 7.99/1.59 inference(paramodulation,[status(thm)],[f3482,f3841])).
% 7.99/1.59 fof(f3943,definition,(
% 7.99/1.59 ![X0,X1]: (sQ523_spl <=> (~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|below_refl(sK19_skl,X0,X1)|~element(X0,the_carrier(sK19_skl))|~element(X1,the_carrier(sK19_skl))|~below_refl(sK19_skl,X0,X1)))),
% 7.99/1.59 introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition])).
% 7.99/1.59 fof(f3946,plain,(
% 7.99/1.59 sQ523_spl|sQ2_spl|~sQ3_spl|~sQ36_spl|~sQ506_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3938,f3943,f370,f373,f535,f3840])).
% 7.99/1.59 fof(f3948,plain,(
% 7.99/1.59 ~sQ31_spl|~sQ33_spl|~sQ324_spl|sQ0_spl|~sQ506_spl|~sQ447_spl),
% 7.99/1.59 inference(split_clause,[status(thm)],[f3940,f496,f503,f2636,f361,f3840,f3481])).
% 7.99/1.59 fof(f3951,plain,(
% 7.99/1.59 $false),
% 7.99/1.59 inference(sat_refutation,[status(thm)],[f367,f368,f379,f388,f390,f392,f422,f466,f470,f489,f502,f509,f511,f513,f515,f517,f519,f521,f523,f534,f541,f543,f549,f553,f559,f563,f577,f583,f587,f591,f595,f598,f618,f622,f628,f632,f657,f659,f664,f666,f674,f676,f684,f686,f691,f701,f705,f719,f727,f741,f743,f745,f753,f758,f760,f773,f777,f786,f792,f798,f811,f815,f844,f845,f854,f862,f864,f869,f882,f887,f889,f891,f901,f903,f917,f921,f936,f940,f952,f960,f974,f980,f982,f995,f1000,f1021,f1026,f1031,f1038,f1043,f1048,f1053,f1058,f1118,f1125,f1196,f1200,f1204,f1211,f1215,f1219,f1229,f1231,f1239,f1250,f1252,f1254,f1450,f1452,f1454,f1608,f1612,f1614,f1735,f1736,f1738,f1793,f1803,f1810,f1814,f1818,f1822,f1826,f1830,f1834,f1838,f1842,f1853,f1857,f1867,f1869,f1878,f1880,f1905,f1912,f1916,f1922,f1936,f1938,f1954,f1963,f1970,f1972,f1991,f2018,f2025,f2029,f2033,f2037,f2041,f2045,f2049,f2053,f2057,f2061,f2065,f2076,f2080,f2121,f2123,f2132,f2144,f2148,f2156,f2175,f2182,f2186,f2192,f2224,f2228,f2232,f2236,f2271,f2276,f2278,f2284,f2293,f2295,f2300,f2305,f2314,f2361,f2368,f2375,f2380,f2389,f2393,f2404,f2408,f2412,f2416,f2420,f2424,f2433,f2437,f2441,f2458,f2462,f2466,f2470,f2474,f2478,f2487,f2491,f2495,f2516,f2534,f2541,f2548,f2555,f2559,f2563,f2565,f2570,f2593,f2597,f2601,f2605,f2615,f2623,f2627,f2629,f2631,f2639,f2675,f2765,f2769,f2773,f2777,f2781,f2805,f2831,f2905,f2941,f2945,f2949,f2953,f2957,f2983,f2987,f3025,f3029,f3134,f3139,f3156,f3167,f3169,f3211,f3217,f3221,f3226,f3231,f3235,f3239,f3243,f3248,f3289,f3309,f3313,f3317,f3321,f3330,f3334,f3337,f3378,f3384,f3388,f3393,f3398,f3402,f3406,f3410,f3415,f3456,f3472,f3476,f3480,f3484,f3493,f3501,f3511,f3515,f3519,f3527,f3531,f3533,f3591,f3597,f3601,f3606,f3611,f3615,f3619,f3623,f3628,f3637,f3673,f3689,f3693,f3697,f3701,f3711,f3715,f3719,f3723,f3726,f3745,f3753,f3757,f3761,f3765,f3775,f3779,f3783,f3785,f3795,f3799,f3803,f3807,f3829,f3839,f3843,f3864,f3868,f3880,f3892,f3896,f3900,f3901,f3909,f3914,f3946,f3948])).
% 7.99/1.59 % SZS output end CNFRefutation for theBenchmark.p
% 7.99/1.61 % Elapsed time: 1.232176 seconds
% 7.99/1.61 % CPU time: 9.133752 seconds
% 7.99/1.61 % Total memory used: 205.475 MB
% 7.99/1.61 % Net memory used: 200.460 MB
%------------------------------------------------------------------------------