%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU369+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:22:27 PM UTC 2026
% Result : Theorem 0.16s 5.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n019.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 06:16:25 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.16/5.41 % Drodi V4.1.1
% 0.16/5.94 % Refutation found
% 0.16/5.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.94 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.94 fof(f1,axiom,(
% 0.16/5.94 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.94 fof(f2,axiom,(
% 0.16/5.94 (! [A] :( latt_str(A)=> ( strict_latt_str(A)=> A = latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.94 fof(f6,axiom,(
% 0.16/5.94 (! [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) ) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.94 fof(f8,axiom,(
% 0.16/5.94 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& with_suprema_relstr(A)& with_infima_relstr(A) ) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.94 fof(f10,axiom,(
% 0.16/5.94 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& join_commutative(A)& join_associative(A)& meet_commutative(A)& meet_associative(A)& meet_absorbing(A)& join_absorbing(A) )=> ( ~ empty_carrier(A)& lattice(A) ) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.94 fof(f11,axiom,(
% 0.16/5.94 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& reflexive_relstr(A)& trivial_carrier(A) )=> ( ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& complete_relstr(A) ) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.94 fof(f12,axiom,(
% 0.16/5.94 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A) )=> ( ~ empty_carrier(A)& bounded_lattstr(A) ) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.94 fof(f13,axiom,(
% 0.16/5.94 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& bounded_relstr(A) ) ) ) )),
% 0.16/5.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f14,axiom,(
% 0.16/5.95 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& bounded_lattstr(A) )=> ( ~ empty_carrier(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A) ) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f15,axiom,(
% 0.16/5.95 (! [A] :( rel_str(A)=> ( bounded_relstr(A)=> ( lower_bounded_relstr(A)& upper_bounded_relstr(A) ) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f16,axiom,(
% 0.16/5.95 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& boolean_lattstr(A) )=> ( ~ empty_carrier(A)& distributive_lattstr(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A)& bounded_lattstr(A)& complemented_lattstr(A) ) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f18,axiom,(
% 0.16/5.95 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& distributive_lattstr(A)& bounded_lattstr(A)& complemented_lattstr(A) )=> ( ~ empty_carrier(A)& boolean_lattstr(A) ) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f19,axiom,(
% 0.16/5.95 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& lattice(A)& distributive_lattstr(A) )=> ( ~ empty_carrier(A)& join_commutative(A)& join_associative(A)& meet_commutative(A)& meet_associative(A)& meet_absorbing(A)& join_absorbing(A)& lattice(A)& modular_lattstr(A) ) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f21,axiom,(
% 0.16/5.95 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> poset_of_lattice(A) = rel_str_of(the_carrier(A),k2_lattice3(A)) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f22,axiom,(
% 0.16/5.95 (! [A] : boole_POSet(A) = poset_of_lattice(boole_lattice(A)) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f23,axiom,(
% 0.16/5.95 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f25,axiom,(
% 0.16/5.95 (! [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)) ) ) )) )) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f28,axiom,(
% 0.16/5.95 (! [A] :( strict_latt_str(boole_lattice(A))& latt_str(boole_lattice(A)) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f32,axiom,(
% 0.16/5.95 (! [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)) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f35,axiom,(
% 0.16/5.95 (! [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)) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f36,axiom,(
% 0.16/5.95 (! [A] :( strict_rel_str(boole_POSet(A))& rel_str(boole_POSet(A)) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f37,axiom,(
% 0.16/5.95 (! [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))) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f39,axiom,(
% 0.16/5.95 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> relation(relation_of_lattice(A)) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f41,axiom,(
% 0.16/5.95 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f47,axiom,(
% 0.16/5.95 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f49,axiom,(
% 0.16/5.95 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f53,axiom,(
% 0.16/5.95 (? [A] : rel_str(A) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f58,axiom,(
% 0.16/5.95 (! [A] :(? [B] : element(B,A) ))),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f60,axiom,(
% 0.16/5.95 (! [A] :( ~ empty_carrier(boole_lattice(A))& strict_latt_str(boole_lattice(A))& join_commutative(boole_lattice(A))& join_associative(boole_lattice(A))& meet_commutative(boole_lattice(A))& meet_associative(boole_lattice(A))& meet_absorbing(boole_lattice(A))& join_absorbing(boole_lattice(A))& lattice(boole_lattice(A))& distributive_lattstr(boole_lattice(A))& modular_lattstr(boole_lattice(A))& lower_bounded_semilattstr(boole_lattice(A))& upper_bounded_semilattstr(boole_lattice(A))& bounded_lattstr(boole_lattice(A))& complemented_lattstr(boole_lattice(A))& boolean_lattstr(boole_lattice(A))& complete_latt_str(boole_lattice(A)) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f64,axiom,(
% 0.16/5.95 (! [A] : ~ empty(powerset(A)) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f67,axiom,(
% 0.16/5.95 (! [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))& with_suprema_relstr(poset_of_lattice(A))& with_infima_relstr(poset_of_lattice(A)) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f69,axiom,(
% 0.16/5.95 (! [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)) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f71,axiom,(
% 0.16/5.95 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& upper_bounded_semilattstr(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))& upper_bounded_relstr(poset_of_lattice(A))& with_suprema_relstr(poset_of_lattice(A))& with_infima_relstr(poset_of_lattice(A)) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f76,axiom,(
% 0.16/5.95 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& lower_bounded_semilattstr(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))& lower_bounded_relstr(poset_of_lattice(A))& with_suprema_relstr(poset_of_lattice(A))& with_infima_relstr(poset_of_lattice(A)) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f80,axiom,(
% 0.16/5.95 (! [A] :( ~ empty_carrier(boole_POSet(A))& strict_rel_str(boole_POSet(A))& reflexive_relstr(boole_POSet(A))& transitive_relstr(boole_POSet(A))& antisymmetric_relstr(boole_POSet(A)) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f82,axiom,(
% 0.16/5.95 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f84,axiom,(
% 0.16/5.95 (? [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)& distributive_lattstr(A)& modular_lattstr(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f85,axiom,(
% 0.16/5.95 (? [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)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A)& bounded_lattstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f86,axiom,(
% 0.16/5.95 (? [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)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A)& bounded_lattstr(A)& complemented_lattstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f87,axiom,(
% 0.16/5.95 (? [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)& distributive_lattstr(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A)& bounded_lattstr(A)& complemented_lattstr(A)& boolean_lattstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f88,axiom,(
% 0.16/5.95 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& complete_relstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f89,axiom,(
% 0.16/5.95 (? [A] :( rel_str(A)& strict_rel_str(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f92,axiom,(
% 0.16/5.95 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& trivial_carrier(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f93,axiom,(
% 0.16/5.95 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f94,axiom,(
% 0.16/5.95 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f98,axiom,(
% 0.16/5.95 (? [A] :( rel_str(A)& ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f99,axiom,(
% 0.16/5.95 (? [A] :( latt_str(A)& strict_latt_str(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f100,axiom,(
% 0.16/5.95 (? [A] :( one_sorted_str(A)& ~ empty_carrier(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f101,axiom,(
% 0.16/5.95 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B) ) )) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f102,axiom,(
% 0.16/5.95 (? [A] :( latt_str(A)& ~ empty_carrier(A)& strict_latt_str(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f103,axiom,(
% 0.16/5.95 (? [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) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f104,axiom,(
% 0.16/5.95 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> k2_lattice3(A) = relation_of_lattice(A) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f105,axiom,(
% 0.16/5.95 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f106,axiom,(
% 0.16/5.95 (! [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) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f107,axiom,(
% 0.16/5.95 (! [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) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f109,axiom,(
% 0.16/5.95 (! [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) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f110,axiom,(
% 0.16/5.95 (! [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) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f112,axiom,(
% 0.16/5.95 (! [A,B] :( element(B,the_carrier(boole_lattice(A)))=> (! [C] :( element(C,the_carrier(boole_lattice(A)))=> ( below(boole_lattice(A),B,C)<=> subset(B,C) ) ) )) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f113,axiom,(
% 0.16/5.95 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f114,conjecture,(
% 0.16/5.95 (! [A,B] :( element(B,the_carrier(boole_POSet(A)))=> (! [C] :( element(C,the_carrier(boole_POSet(A)))=> ( related_reflexive(boole_POSet(A),B,C)<=> subset(B,C) ) ) )) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f115,negated_conjecture,(
% 0.16/5.95 ~((! [A,B] :( element(B,the_carrier(boole_POSet(A)))=> (! [C] :( element(C,the_carrier(boole_POSet(A)))=> ( related_reflexive(boole_POSet(A),B,C)<=> subset(B,C) ) ) )) ))),
% 0.16/5.95 inference(negated_conjecture,[status(cth)],[f114])).
% 0.16/5.95 fof(f116,axiom,(
% 0.16/5.95 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f117,axiom,(
% 0.16/5.95 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f118,axiom,(
% 0.16/5.95 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f121,axiom,(
% 0.16/5.95 (! [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)) ) ) )) )) )),
% 0.16/5.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.95 fof(f123,plain,(
% 0.16/5.95 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/5.95 fof(f124,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f123])).
% 0.16/5.95 fof(f125,plain,(
% 0.16/5.95 ![A]: (~latt_str(A)|(~strict_latt_str(A)|A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/5.95 fof(f126,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|~strict_latt_str(X0)|X0=latt_str_of(the_carrier(X0),the_L_join(X0),the_L_meet(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f125])).
% 0.16/5.95 fof(f143,plain,(
% 0.16/5.95 ![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))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.16/5.95 fof(f146,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_associative(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/5.95 fof(f147,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_commutative(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/5.95 fof(f148,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_associative(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/5.95 fof(f149,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_absorbing(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/5.95 fof(f150,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_absorbing(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/5.95 fof(f154,plain,(
% 0.16/5.95 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|((~empty_carrier(A)&with_suprema_relstr(A))&with_infima_relstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.16/5.95 fof(f156,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_suprema_relstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f154])).
% 0.16/5.95 fof(f157,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_infima_relstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f154])).
% 0.16/5.95 fof(f160,plain,(
% 0.16/5.95 ![A]: (~latt_str(A)|(((((((empty_carrier(A)|~join_commutative(A))|~join_associative(A))|~meet_commutative(A))|~meet_associative(A))|~meet_absorbing(A))|~join_absorbing(A))|(~empty_carrier(A)&lattice(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.16/5.95 fof(f162,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~join_commutative(X0)|~join_associative(X0)|~meet_commutative(X0)|~meet_associative(X0)|~meet_absorbing(X0)|~join_absorbing(X0)|lattice(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f160])).
% 0.16/5.95 fof(f163,plain,(
% 0.16/5.95 ![A]: (~rel_str(A)|(((empty_carrier(A)|~reflexive_relstr(A))|~trivial_carrier(A))|((((~empty_carrier(A)&reflexive_relstr(A))&transitive_relstr(A))&antisymmetric_relstr(A))&complete_relstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.16/5.95 fof(f167,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|antisymmetric_relstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f163])).
% 0.16/5.95 fof(f168,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|complete_relstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f163])).
% 0.16/5.95 fof(f169,plain,(
% 0.16/5.95 ![A]: (~latt_str(A)|(((empty_carrier(A)|~lower_bounded_semilattstr(A))|~upper_bounded_semilattstr(A))|(~empty_carrier(A)&bounded_lattstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.16/5.95 fof(f171,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lower_bounded_semilattstr(X0)|~upper_bounded_semilattstr(X0)|bounded_lattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f169])).
% 0.16/5.95 fof(f172,plain,(
% 0.16/5.95 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|(~empty_carrier(A)&bounded_relstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.16/5.95 fof(f174,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|bounded_relstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f172])).
% 0.16/5.95 fof(f175,plain,(
% 0.16/5.95 ![A]: (~latt_str(A)|((empty_carrier(A)|~bounded_lattstr(A))|((~empty_carrier(A)&lower_bounded_semilattstr(A))&upper_bounded_semilattstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.16/5.95 fof(f177,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~bounded_lattstr(X0)|lower_bounded_semilattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f175])).
% 0.16/5.95 fof(f178,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~bounded_lattstr(X0)|upper_bounded_semilattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f175])).
% 0.16/5.95 fof(f179,plain,(
% 0.16/5.95 ![A]: (~rel_str(A)|(~bounded_relstr(A)|(lower_bounded_relstr(A)&upper_bounded_relstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.16/5.95 fof(f180,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|lower_bounded_relstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f179])).
% 0.16/5.95 fof(f181,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|upper_bounded_relstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f179])).
% 0.16/5.95 fof(f182,plain,(
% 0.16/5.95 ![A]: (~latt_str(A)|((empty_carrier(A)|~boolean_lattstr(A))|(((((~empty_carrier(A)&distributive_lattstr(A))&lower_bounded_semilattstr(A))&upper_bounded_semilattstr(A))&bounded_lattstr(A))&complemented_lattstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.16/5.95 fof(f184,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~boolean_lattstr(X0)|distributive_lattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f182])).
% 0.16/5.95 fof(f187,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~boolean_lattstr(X0)|bounded_lattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f182])).
% 0.16/5.95 fof(f188,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~boolean_lattstr(X0)|complemented_lattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f182])).
% 0.16/5.95 fof(f191,plain,(
% 0.16/5.95 ![A]: (~latt_str(A)|((((empty_carrier(A)|~distributive_lattstr(A))|~bounded_lattstr(A))|~complemented_lattstr(A))|(~empty_carrier(A)&boolean_lattstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.16/5.95 fof(f193,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~distributive_lattstr(X0)|~bounded_lattstr(X0)|~complemented_lattstr(X0)|boolean_lattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f191])).
% 0.16/5.95 fof(f194,plain,(
% 0.16/5.95 ![A]: (~latt_str(A)|(((empty_carrier(A)|~lattice(A))|~distributive_lattstr(A))|((((((((~empty_carrier(A)&join_commutative(A))&join_associative(A))&meet_commutative(A))&meet_associative(A))&meet_absorbing(A))&join_absorbing(A))&lattice(A))&modular_lattstr(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.16/5.95 fof(f203,plain,(
% 0.16/5.95 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|~distributive_lattstr(X0)|modular_lattstr(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f194])).
% 0.16/5.95 fof(f205,plain,(
% 0.16/5.95 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.16/5.95 fof(f206,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|poset_of_lattice(X0)=rel_str_of(the_carrier(X0),k2_lattice3(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f205])).
% 0.16/5.95 fof(f207,plain,(
% 0.16/5.95 ![X0]: (boole_POSet(X0)=poset_of_lattice(boole_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.95 fof(f208,plain,(
% 0.16/5.95 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.16/5.95 fof(f209,plain,(
% 0.16/5.95 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f208])).
% 0.16/5.95 fof(f211,plain,(
% 0.16/5.95 ![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))))))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.16/5.95 fof(f212,plain,(
% 0.16/5.95 ![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)))))))))),
% 0.16/5.95 inference(NNF_transformation,[status(thm)],[f211])).
% 0.16/5.95 fof(f213,plain,(
% 0.16/5.95 ![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)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f212])).
% 0.16/5.95 fof(f214,plain,(
% 0.16/5.95 ![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)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f212])).
% 0.16/5.95 fof(f221,plain,(
% 0.16/5.95 (![A]: strict_latt_str(boole_lattice(A)))&(![A]: latt_str(boole_lattice(A)))),
% 0.16/5.95 inference(miniscoping,[status(thm)],[f28])).
% 0.16/5.95 fof(f223,plain,(
% 0.16/5.95 ![X0]: (latt_str(boole_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f221])).
% 0.16/5.95 fof(f224,plain,(
% 0.16/5.95 ![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))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.16/5.95 fof(f225,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive(k2_lattice3(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f224])).
% 0.16/5.95 fof(f226,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric(k2_lattice3(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f224])).
% 0.16/5.95 fof(f227,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive(k2_lattice3(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f224])).
% 0.16/5.95 fof(f228,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f224])).
% 0.16/5.95 fof(f229,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f224])).
% 0.16/5.95 fof(f230,plain,(
% 0.16/5.95 ![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))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.16/5.95 fof(f231,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|strict_rel_str(poset_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f230])).
% 0.16/5.95 fof(f232,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive_relstr(poset_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f230])).
% 0.16/5.95 fof(f233,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive_relstr(poset_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f230])).
% 0.16/5.95 fof(f234,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric_relstr(poset_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f230])).
% 0.16/5.95 fof(f235,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|rel_str(poset_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f230])).
% 0.16/5.95 fof(f236,plain,(
% 0.16/5.95 (![A]: strict_rel_str(boole_POSet(A)))&(![A]: rel_str(boole_POSet(A)))),
% 0.16/5.95 inference(miniscoping,[status(thm)],[f36])).
% 0.16/5.95 fof(f238,plain,(
% 0.16/5.95 ![X0]: (rel_str(boole_POSet(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f236])).
% 0.16/5.95 fof(f239,plain,(
% 0.16/5.95 ![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))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.16/5.95 fof(f240,plain,(
% 0.16/5.95 ![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))))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f239])).
% 0.16/5.95 fof(f241,plain,(
% 0.16/5.95 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|relation(relation_of_lattice(A)))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.16/5.95 fof(f242,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation(relation_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f241])).
% 0.16/5.95 fof(f245,plain,(
% 0.16/5.95 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.16/5.95 fof(f246,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f245])).
% 0.16/5.95 fof(f252,plain,(
% 0.16/5.95 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.16/5.95 fof(f253,plain,(
% 0.16/5.95 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f252])).
% 0.16/5.95 fof(f258,plain,(
% 0.16/5.95 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.16/5.95 fof(f259,plain,(
% 0.16/5.95 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f258])).
% 0.16/5.95 fof(f266,plain,(
% 0.16/5.95 rel_str(sK1_skl)),
% 0.16/5.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(A,sK1_skl)],[f53])).
% 0.16/5.95 fof(f267,plain,(
% 0.16/5.95 rel_str(sK1_skl)),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f266])).
% 0.16/5.95 fof(f276,plain,(
% 0.16/5.95 ![A]: element(sK6_skl(A),A)),
% 0.16/5.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(B,sK6_skl(A))],[f58])).
% 0.16/5.95 fof(f277,plain,(
% 0.16/5.95 ![X0]: (element(sK6_skl(X0),X0))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f276])).
% 0.16/5.95 fof(f280,plain,(
% 0.16/5.95 ((((((((((((((((![A]: ~empty_carrier(boole_lattice(A)))&(![A]: strict_latt_str(boole_lattice(A))))&(![A]: join_commutative(boole_lattice(A))))&(![A]: join_associative(boole_lattice(A))))&(![A]: meet_commutative(boole_lattice(A))))&(![A]: meet_associative(boole_lattice(A))))&(![A]: meet_absorbing(boole_lattice(A))))&(![A]: join_absorbing(boole_lattice(A))))&(![A]: lattice(boole_lattice(A))))&(![A]: distributive_lattstr(boole_lattice(A))))&(![A]: modular_lattstr(boole_lattice(A))))&(![A]: lower_bounded_semilattstr(boole_lattice(A))))&(![A]: upper_bounded_semilattstr(boole_lattice(A))))&(![A]: bounded_lattstr(boole_lattice(A))))&(![A]: complemented_lattstr(boole_lattice(A))))&(![A]: boolean_lattstr(boole_lattice(A))))&(![A]: complete_latt_str(boole_lattice(A)))),
% 0.16/5.95 inference(miniscoping,[status(thm)],[f60])).
% 0.16/5.95 fof(f281,plain,(
% 0.16/5.95 ![X0]: (~empty_carrier(boole_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f280])).
% 0.16/5.95 fof(f285,plain,(
% 0.16/5.95 ![X0]: (meet_commutative(boole_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f280])).
% 0.16/5.95 fof(f287,plain,(
% 0.16/5.95 ![X0]: (meet_absorbing(boole_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f280])).
% 0.16/5.95 fof(f288,plain,(
% 0.16/5.95 ![X0]: (join_absorbing(boole_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f280])).
% 0.16/5.95 fof(f289,plain,(
% 0.16/5.95 ![X0]: (lattice(boole_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f280])).
% 0.16/5.95 fof(f306,plain,(
% 0.16/5.95 ![X0]: (~empty(powerset(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f64])).
% 0.16/5.95 fof(f312,plain,(
% 0.16/5.95 ![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)))&with_suprema_relstr(poset_of_lattice(A)))&with_infima_relstr(poset_of_lattice(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.16/5.95 fof(f318,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|with_suprema_relstr(poset_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f312])).
% 0.16/5.95 fof(f319,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|with_infima_relstr(poset_of_lattice(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f312])).
% 0.16/5.95 fof(f330,plain,(
% 0.16/5.95 ![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))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.16/5.95 fof(f331,plain,(
% 0.16/5.95 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|relation(the_InternalRel(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f330])).
% 0.16/5.95 fof(f332,plain,(
% 0.16/5.95 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|reflexive(the_InternalRel(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f330])).
% 0.16/5.95 fof(f333,plain,(
% 0.16/5.95 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|antisymmetric(the_InternalRel(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f330])).
% 0.16/5.95 fof(f334,plain,(
% 0.16/5.95 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|transitive(the_InternalRel(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f330])).
% 0.16/5.95 fof(f335,plain,(
% 0.16/5.95 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|v1_partfun1(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 0.16/5.95 inference(cnf_transformation,[status(thm)],[f330])).
% 0.16/5.95 fof(f337,plain,(
% 0.16/5.95 ![A]: ((((empty_carrier(A)|~lattice(A))|~upper_bounded_semilattstr(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)))&upper_bounded_relstr(poset_of_lattice(A)))&with_suprema_relstr(poset_of_lattice(A)))&with_infima_relstr(poset_of_lattice(A))))),
% 0.16/5.95 inference(pre_NNF_transformation,[status(thm)],[f71])).
% 0.16/5.95 fof(f343,plain,(
% 0.16/5.95 ![X0]: (empty_carrier(X0)|~lattice(X0)|~upper_bounded_semilattstr(X0)|~latt_str(X0)|upper_bounded_relstr(poset_of_lattice(X0)))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f337])).
% 0.16/5.96 fof(f372,plain,(
% 0.16/5.96 ![A]: ((((empty_carrier(A)|~lattice(A))|~lower_bounded_semilattstr(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)))&lower_bounded_relstr(poset_of_lattice(A)))&with_suprema_relstr(poset_of_lattice(A)))&with_infima_relstr(poset_of_lattice(A))))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f76])).
% 0.16/5.96 fof(f378,plain,(
% 0.16/5.96 ![X0]: (empty_carrier(X0)|~lattice(X0)|~lower_bounded_semilattstr(X0)|~latt_str(X0)|lower_bounded_relstr(poset_of_lattice(X0)))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f372])).
% 0.16/5.96 fof(f401,plain,(
% 0.16/5.96 ((((![A]: ~empty_carrier(boole_POSet(A)))&(![A]: strict_rel_str(boole_POSet(A))))&(![A]: reflexive_relstr(boole_POSet(A))))&(![A]: transitive_relstr(boole_POSet(A))))&(![A]: antisymmetric_relstr(boole_POSet(A)))),
% 0.16/5.96 inference(miniscoping,[status(thm)],[f80])).
% 0.16/5.96 fof(f402,plain,(
% 0.16/5.96 ![X0]: (~empty_carrier(boole_POSet(X0)))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f401])).
% 0.16/5.96 fof(f404,plain,(
% 0.16/5.96 ![X0]: (reflexive_relstr(boole_POSet(X0)))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f401])).
% 0.16/5.96 fof(f419,plain,(
% 0.16/5.96 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f82])).
% 0.16/5.96 fof(f420,plain,(
% 0.16/5.96 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X1=X2)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f419])).
% 0.16/5.96 fof(f426,plain,(
% 0.16/5.96 (((((((((((((latt_str(sK8_skl)&~empty_carrier(sK8_skl))&strict_latt_str(sK8_skl))&join_commutative(sK8_skl))&join_associative(sK8_skl))&meet_commutative(sK8_skl))&meet_associative(sK8_skl))&meet_absorbing(sK8_skl))&join_absorbing(sK8_skl))&lattice(sK8_skl))&distributive_lattstr(sK8_skl))&modular_lattstr(sK8_skl))&lower_bounded_semilattstr(sK8_skl))&upper_bounded_semilattstr(sK8_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f84])).
% 0.16/5.96 fof(f427,plain,(
% 0.16/5.96 latt_str(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f428,plain,(
% 0.16/5.96 ~empty_carrier(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f429,plain,(
% 0.16/5.96 strict_latt_str(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f430,plain,(
% 0.16/5.96 join_commutative(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f431,plain,(
% 0.16/5.96 join_associative(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f432,plain,(
% 0.16/5.96 meet_commutative(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f436,plain,(
% 0.16/5.96 lattice(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f437,plain,(
% 0.16/5.96 distributive_lattstr(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f439,plain,(
% 0.16/5.96 lower_bounded_semilattstr(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f440,plain,(
% 0.16/5.96 upper_bounded_semilattstr(sK8_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f426])).
% 0.16/5.96 fof(f441,plain,(
% 0.16/5.96 ((((((((((((latt_str(sK9_skl)&~empty_carrier(sK9_skl))&strict_latt_str(sK9_skl))&join_commutative(sK9_skl))&join_associative(sK9_skl))&meet_commutative(sK9_skl))&meet_associative(sK9_skl))&meet_absorbing(sK9_skl))&join_absorbing(sK9_skl))&lattice(sK9_skl))&lower_bounded_semilattstr(sK9_skl))&upper_bounded_semilattstr(sK9_skl))&bounded_lattstr(sK9_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f85])).
% 0.16/5.96 fof(f442,plain,(
% 0.16/5.96 latt_str(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f443,plain,(
% 0.16/5.96 ~empty_carrier(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f444,plain,(
% 0.16/5.96 strict_latt_str(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f445,plain,(
% 0.16/5.96 join_commutative(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f446,plain,(
% 0.16/5.96 join_associative(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f447,plain,(
% 0.16/5.96 meet_commutative(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f451,plain,(
% 0.16/5.96 lattice(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f452,plain,(
% 0.16/5.96 lower_bounded_semilattstr(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f453,plain,(
% 0.16/5.96 upper_bounded_semilattstr(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f454,plain,(
% 0.16/5.96 bounded_lattstr(sK9_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f441])).
% 0.16/5.96 fof(f455,plain,(
% 0.16/5.96 (((((((((((((latt_str(sK10_skl)&~empty_carrier(sK10_skl))&strict_latt_str(sK10_skl))&join_commutative(sK10_skl))&join_associative(sK10_skl))&meet_commutative(sK10_skl))&meet_associative(sK10_skl))&meet_absorbing(sK10_skl))&join_absorbing(sK10_skl))&lattice(sK10_skl))&lower_bounded_semilattstr(sK10_skl))&upper_bounded_semilattstr(sK10_skl))&bounded_lattstr(sK10_skl))&complemented_lattstr(sK10_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(A,sK10_skl)],[f86])).
% 0.16/5.96 fof(f456,plain,(
% 0.16/5.96 latt_str(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f457,plain,(
% 0.16/5.96 ~empty_carrier(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f458,plain,(
% 0.16/5.96 strict_latt_str(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f459,plain,(
% 0.16/5.96 join_commutative(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f460,plain,(
% 0.16/5.96 join_associative(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f461,plain,(
% 0.16/5.96 meet_commutative(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f465,plain,(
% 0.16/5.96 lattice(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f466,plain,(
% 0.16/5.96 lower_bounded_semilattstr(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f467,plain,(
% 0.16/5.96 upper_bounded_semilattstr(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f468,plain,(
% 0.16/5.96 bounded_lattstr(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f469,plain,(
% 0.16/5.96 complemented_lattstr(sK10_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f455])).
% 0.16/5.96 fof(f470,plain,(
% 0.16/5.96 (((((((((((((((latt_str(sK11_skl)&~empty_carrier(sK11_skl))&strict_latt_str(sK11_skl))&join_commutative(sK11_skl))&join_associative(sK11_skl))&meet_commutative(sK11_skl))&meet_associative(sK11_skl))&meet_absorbing(sK11_skl))&join_absorbing(sK11_skl))&lattice(sK11_skl))&distributive_lattstr(sK11_skl))&lower_bounded_semilattstr(sK11_skl))&upper_bounded_semilattstr(sK11_skl))&bounded_lattstr(sK11_skl))&complemented_lattstr(sK11_skl))&boolean_lattstr(sK11_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(A,sK11_skl)],[f87])).
% 0.16/5.96 fof(f471,plain,(
% 0.16/5.96 latt_str(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f472,plain,(
% 0.16/5.96 ~empty_carrier(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f473,plain,(
% 0.16/5.96 strict_latt_str(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f474,plain,(
% 0.16/5.96 join_commutative(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f475,plain,(
% 0.16/5.96 join_associative(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f480,plain,(
% 0.16/5.96 lattice(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f481,plain,(
% 0.16/5.96 distributive_lattstr(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f482,plain,(
% 0.16/5.96 lower_bounded_semilattstr(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f483,plain,(
% 0.16/5.96 upper_bounded_semilattstr(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f484,plain,(
% 0.16/5.96 bounded_lattstr(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f486,plain,(
% 0.16/5.96 boolean_lattstr(sK11_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f470])).
% 0.16/5.96 fof(f487,plain,(
% 0.16/5.96 ((((((rel_str(sK12_skl)&~empty_carrier(sK12_skl))&strict_rel_str(sK12_skl))&reflexive_relstr(sK12_skl))&transitive_relstr(sK12_skl))&antisymmetric_relstr(sK12_skl))&complete_relstr(sK12_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(A,sK12_skl)],[f88])).
% 0.16/5.96 fof(f488,plain,(
% 0.16/5.96 rel_str(sK12_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f487])).
% 0.16/5.96 fof(f489,plain,(
% 0.16/5.96 ~empty_carrier(sK12_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f487])).
% 0.16/5.96 fof(f490,plain,(
% 0.16/5.96 strict_rel_str(sK12_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f487])).
% 0.16/5.96 fof(f491,plain,(
% 0.16/5.96 reflexive_relstr(sK12_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f487])).
% 0.16/5.96 fof(f492,plain,(
% 0.16/5.96 transitive_relstr(sK12_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f487])).
% 0.16/5.96 fof(f493,plain,(
% 0.16/5.96 antisymmetric_relstr(sK12_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f487])).
% 0.16/5.96 fof(f494,plain,(
% 0.16/5.96 complete_relstr(sK12_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f487])).
% 0.16/5.96 fof(f495,plain,(
% 0.16/5.96 (rel_str(sK13_skl)&strict_rel_str(sK13_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(A,sK13_skl)],[f89])).
% 0.16/5.96 fof(f496,plain,(
% 0.16/5.96 rel_str(sK13_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f495])).
% 0.16/5.96 fof(f497,plain,(
% 0.16/5.96 strict_rel_str(sK13_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f495])).
% 0.16/5.96 fof(f504,plain,(
% 0.16/5.96 (((((((((rel_str(sK16_skl)&~empty_carrier(sK16_skl))&strict_rel_str(sK16_skl))&reflexive_relstr(sK16_skl))&transitive_relstr(sK16_skl))&antisymmetric_relstr(sK16_skl))&with_suprema_relstr(sK16_skl))&with_infima_relstr(sK16_skl))&complete_relstr(sK16_skl))&trivial_carrier(sK16_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(A,sK16_skl)],[f92])).
% 0.16/5.96 fof(f505,plain,(
% 0.16/5.96 rel_str(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f506,plain,(
% 0.16/5.96 ~empty_carrier(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f507,plain,(
% 0.16/5.96 strict_rel_str(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f508,plain,(
% 0.16/5.96 reflexive_relstr(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f509,plain,(
% 0.16/5.96 transitive_relstr(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f510,plain,(
% 0.16/5.96 antisymmetric_relstr(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f513,plain,(
% 0.16/5.96 complete_relstr(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f514,plain,(
% 0.16/5.96 trivial_carrier(sK16_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f504])).
% 0.16/5.96 fof(f515,plain,(
% 0.16/5.96 ((((((((rel_str(sK17_skl)&~empty_carrier(sK17_skl))&strict_rel_str(sK17_skl))&reflexive_relstr(sK17_skl))&transitive_relstr(sK17_skl))&antisymmetric_relstr(sK17_skl))&with_suprema_relstr(sK17_skl))&with_infima_relstr(sK17_skl))&complete_relstr(sK17_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(A,sK17_skl)],[f93])).
% 0.16/5.96 fof(f516,plain,(
% 0.16/5.96 rel_str(sK17_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f515])).
% 0.16/5.96 fof(f517,plain,(
% 0.16/5.96 ~empty_carrier(sK17_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f515])).
% 0.16/5.96 fof(f518,plain,(
% 0.16/5.96 strict_rel_str(sK17_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f515])).
% 0.16/5.96 fof(f519,plain,(
% 0.16/5.96 reflexive_relstr(sK17_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f515])).
% 0.16/5.96 fof(f520,plain,(
% 0.16/5.96 transitive_relstr(sK17_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f515])).
% 0.16/5.96 fof(f521,plain,(
% 0.16/5.96 antisymmetric_relstr(sK17_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f515])).
% 0.16/5.96 fof(f524,plain,(
% 0.16/5.96 complete_relstr(sK17_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f515])).
% 0.16/5.96 fof(f525,plain,(
% 0.16/5.96 (((((rel_str(sK18_skl)&~empty_carrier(sK18_skl))&strict_rel_str(sK18_skl))&reflexive_relstr(sK18_skl))&transitive_relstr(sK18_skl))&antisymmetric_relstr(sK18_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl]),skolemize(A,sK18_skl)],[f94])).
% 0.16/5.96 fof(f526,plain,(
% 0.16/5.96 rel_str(sK18_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f525])).
% 0.16/5.96 fof(f527,plain,(
% 0.16/5.96 ~empty_carrier(sK18_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f525])).
% 0.16/5.96 fof(f528,plain,(
% 0.16/5.96 strict_rel_str(sK18_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f525])).
% 0.16/5.96 fof(f529,plain,(
% 0.16/5.96 reflexive_relstr(sK18_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f525])).
% 0.16/5.96 fof(f530,plain,(
% 0.16/5.96 transitive_relstr(sK18_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f525])).
% 0.16/5.96 fof(f531,plain,(
% 0.16/5.96 antisymmetric_relstr(sK18_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f525])).
% 0.16/5.96 fof(f541,plain,(
% 0.16/5.96 ((((((((((rel_str(sK22_skl)&~empty_carrier(sK22_skl))&reflexive_relstr(sK22_skl))&transitive_relstr(sK22_skl))&antisymmetric_relstr(sK22_skl))&with_suprema_relstr(sK22_skl))&with_infima_relstr(sK22_skl))&complete_relstr(sK22_skl))&lower_bounded_relstr(sK22_skl))&upper_bounded_relstr(sK22_skl))&bounded_relstr(sK22_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(A,sK22_skl)],[f98])).
% 0.16/5.96 fof(f542,plain,(
% 0.16/5.96 rel_str(sK22_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f541])).
% 0.16/5.96 fof(f543,plain,(
% 0.16/5.96 ~empty_carrier(sK22_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f541])).
% 0.16/5.96 fof(f544,plain,(
% 0.16/5.96 reflexive_relstr(sK22_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f541])).
% 0.16/5.96 fof(f545,plain,(
% 0.16/5.96 transitive_relstr(sK22_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f541])).
% 0.16/5.96 fof(f546,plain,(
% 0.16/5.96 antisymmetric_relstr(sK22_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f541])).
% 0.16/5.96 fof(f549,plain,(
% 0.16/5.96 complete_relstr(sK22_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f541])).
% 0.16/5.96 fof(f552,plain,(
% 0.16/5.96 bounded_relstr(sK22_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f541])).
% 0.16/5.96 fof(f553,plain,(
% 0.16/5.96 (latt_str(sK23_skl)&strict_latt_str(sK23_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(A,sK23_skl)],[f99])).
% 0.16/5.96 fof(f554,plain,(
% 0.16/5.96 latt_str(sK23_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f553])).
% 0.16/5.96 fof(f555,plain,(
% 0.16/5.96 strict_latt_str(sK23_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f553])).
% 0.16/5.96 fof(f556,plain,(
% 0.16/5.96 (one_sorted_str(sK24_skl)&~empty_carrier(sK24_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(A,sK24_skl)],[f100])).
% 0.16/5.96 fof(f557,plain,(
% 0.16/5.96 one_sorted_str(sK24_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f556])).
% 0.16/5.96 fof(f558,plain,(
% 0.16/5.96 ~empty_carrier(sK24_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f556])).
% 0.16/5.96 fof(f559,plain,(
% 0.16/5.96 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&~empty(B))))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f101])).
% 0.16/5.96 fof(f560,plain,(
% 0.16/5.96 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(element(sK25_skl(A),powerset(the_carrier(A)))&~empty(sK25_skl(A))))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(B,sK25_skl(A))],[f559])).
% 0.16/5.96 fof(f561,plain,(
% 0.16/5.96 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|element(sK25_skl(X0),powerset(the_carrier(X0))))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f560])).
% 0.16/5.96 fof(f563,plain,(
% 0.16/5.96 ((latt_str(sK26_skl)&~empty_carrier(sK26_skl))&strict_latt_str(sK26_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(A,sK26_skl)],[f102])).
% 0.16/5.96 fof(f564,plain,(
% 0.16/5.96 latt_str(sK26_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f563])).
% 0.16/5.96 fof(f566,plain,(
% 0.16/5.96 strict_latt_str(sK26_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f563])).
% 0.16/5.96 fof(f567,plain,(
% 0.16/5.96 (((((((((latt_str(sK27_skl)&~empty_carrier(sK27_skl))&strict_latt_str(sK27_skl))&join_commutative(sK27_skl))&join_associative(sK27_skl))&meet_commutative(sK27_skl))&meet_associative(sK27_skl))&meet_absorbing(sK27_skl))&join_absorbing(sK27_skl))&lattice(sK27_skl))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl]),skolemize(A,sK27_skl)],[f103])).
% 0.16/5.96 fof(f568,plain,(
% 0.16/5.96 latt_str(sK27_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f567])).
% 0.16/5.96 fof(f569,plain,(
% 0.16/5.96 ~empty_carrier(sK27_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f567])).
% 0.16/5.96 fof(f570,plain,(
% 0.16/5.96 strict_latt_str(sK27_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f567])).
% 0.16/5.96 fof(f571,plain,(
% 0.16/5.96 join_commutative(sK27_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f567])).
% 0.16/5.96 fof(f572,plain,(
% 0.16/5.96 join_associative(sK27_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f567])).
% 0.16/5.96 fof(f573,plain,(
% 0.16/5.96 meet_commutative(sK27_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f567])).
% 0.16/5.96 fof(f577,plain,(
% 0.16/5.96 lattice(sK27_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f567])).
% 0.16/5.96 fof(f578,plain,(
% 0.16/5.96 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|k2_lattice3(A)=relation_of_lattice(A))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f104])).
% 0.16/5.96 fof(f579,plain,(
% 0.16/5.96 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|k2_lattice3(X0)=relation_of_lattice(X0))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f578])).
% 0.16/5.96 fof(f580,plain,(
% 0.16/5.96 ![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)))),
% 0.16/5.96 inference(NNF_transformation,[status(thm)],[f105])).
% 0.16/5.96 fof(f581,plain,(
% 0.16/5.96 (![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)))),
% 0.16/5.96 inference(miniscoping,[status(thm)],[f580])).
% 0.16/5.96 fof(f582,plain,(
% 0.16/5.96 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f581])).
% 0.16/5.96 fof(f584,plain,(
% 0.16/5.96 ![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)))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f106])).
% 0.16/5.96 fof(f585,plain,(
% 0.16/5.96 ![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))))),
% 0.16/5.96 inference(NNF_transformation,[status(thm)],[f584])).
% 0.16/5.96 fof(f586,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f585])).
% 0.16/5.96 fof(f587,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f585])).
% 0.16/5.96 fof(f588,plain,(
% 0.16/5.96 ![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)))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f107])).
% 0.16/5.96 fof(f589,plain,(
% 0.16/5.96 ![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))))),
% 0.16/5.96 inference(NNF_transformation,[status(thm)],[f588])).
% 0.16/5.96 fof(f590,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f589])).
% 0.16/5.96 fof(f591,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f589])).
% 0.16/5.96 fof(f594,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f109])).
% 0.16/5.96 fof(f595,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(miniscoping,[status(thm)],[f594])).
% 0.16/5.96 fof(f596,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f595])).
% 0.16/5.96 fof(f597,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f110])).
% 0.16/5.96 fof(f598,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(miniscoping,[status(thm)],[f597])).
% 0.16/5.96 fof(f599,plain,(
% 0.16/5.96 ![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))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f598])).
% 0.16/5.96 fof(f602,plain,(
% 0.16/5.96 ![A,B]: (~element(B,the_carrier(boole_lattice(A)))|(![C]: (~element(C,the_carrier(boole_lattice(A)))|(below(boole_lattice(A),B,C)<=>subset(B,C)))))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f112])).
% 0.16/5.96 fof(f603,plain,(
% 0.16/5.96 ![A,B]: (~element(B,the_carrier(boole_lattice(A)))|(![C]: (~element(C,the_carrier(boole_lattice(A)))|((~below(boole_lattice(A),B,C)|subset(B,C))&(below(boole_lattice(A),B,C)|~subset(B,C))))))),
% 0.16/5.96 inference(NNF_transformation,[status(thm)],[f602])).
% 0.16/5.96 fof(f604,plain,(
% 0.16/5.96 ![X0,X1,X2]: (~element(X0,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_lattice(X1)))|~below(boole_lattice(X1),X0,X2)|subset(X0,X2))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f603])).
% 0.16/5.96 fof(f605,plain,(
% 0.16/5.96 ![X0,X1,X2]: (~element(X0,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_lattice(X1)))|below(boole_lattice(X1),X0,X2)|~subset(X0,X2))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f603])).
% 0.16/5.96 fof(f606,plain,(
% 0.16/5.96 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f113])).
% 0.16/5.96 fof(f607,plain,(
% 0.16/5.96 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f606])).
% 0.16/5.96 fof(f608,plain,(
% 0.16/5.96 (?[A,B]: (element(B,the_carrier(boole_POSet(A)))&(?[C]: (element(C,the_carrier(boole_POSet(A)))&(related_reflexive(boole_POSet(A),B,C)<~>subset(B,C))))))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f115])).
% 0.16/5.96 fof(f609,plain,(
% 0.16/5.96 ?[A,B]: (element(B,the_carrier(boole_POSet(A)))&(?[C]: (element(C,the_carrier(boole_POSet(A)))&((related_reflexive(boole_POSet(A),B,C)|subset(B,C))&(~related_reflexive(boole_POSet(A),B,C)|~subset(B,C))))))),
% 0.16/5.96 inference(NNF_transformation,[status(thm)],[f608])).
% 0.16/5.96 fof(f610,plain,(
% 0.16/5.96 (element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))&(element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))&((related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|subset(sK29_skl,sK30_skl))&(~related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~subset(sK29_skl,sK30_skl)))))),
% 0.16/5.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK28_skl,sK29_skl,sK30_skl]),skolemize(A,sK28_skl),skolemize(B,sK29_skl),skolemize(C,sK30_skl)],[f609])).
% 0.16/5.96 fof(f611,plain,(
% 0.16/5.96 element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f610])).
% 0.16/5.96 fof(f612,plain,(
% 0.16/5.96 element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f610])).
% 0.16/5.96 fof(f613,plain,(
% 0.16/5.96 related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|subset(sK29_skl,sK30_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f610])).
% 0.16/5.96 fof(f614,plain,(
% 0.16/5.96 ~related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~subset(sK29_skl,sK30_skl)),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f610])).
% 0.16/5.96 fof(f615,plain,(
% 0.16/5.96 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.16/5.96 inference(NNF_transformation,[status(thm)],[f116])).
% 0.16/5.96 fof(f616,plain,(
% 0.16/5.96 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.16/5.96 inference(miniscoping,[status(thm)],[f615])).
% 0.16/5.96 fof(f618,plain,(
% 0.16/5.96 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.16/5.96 inference(cnf_transformation,[status(thm)],[f616])).
% 0.16/5.96 fof(f619,plain,(
% 0.16/5.96 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.16/5.96 inference(pre_NNF_transformation,[status(thm)],[f117])).
% 0.16/5.96 fof(f620,plain,(
% 0.16/5.96 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.16/5.96 inference(miniscoping,[status(thm)],[f619])).
% 0.16/5.96 fof(f621,plain,(
% 0.16/5.96 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.16/5.97 inference(cnf_transformation,[status(thm)],[f620])).
% 0.16/5.97 fof(f622,plain,(
% 0.16/5.97 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.16/5.97 inference(pre_NNF_transformation,[status(thm)],[f118])).
% 0.16/5.97 fof(f623,plain,(
% 0.16/5.97 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.16/5.97 inference(miniscoping,[status(thm)],[f622])).
% 0.16/5.97 fof(f624,plain,(
% 0.16/5.97 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.16/5.97 inference(cnf_transformation,[status(thm)],[f623])).
% 0.16/5.97 fof(f630,plain,(
% 0.16/5.97 ![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))))))))),
% 0.16/5.97 inference(pre_NNF_transformation,[status(thm)],[f121])).
% 0.16/5.97 fof(f631,plain,(
% 0.16/5.97 ![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)))))))))),
% 0.16/5.97 inference(NNF_transformation,[status(thm)],[f630])).
% 0.16/5.97 fof(f632,plain,(
% 0.16/5.97 ![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)|related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)))),
% 0.16/5.97 inference(cnf_transformation,[status(thm)],[f631])).
% 0.16/5.97 fof(f633,plain,(
% 0.16/5.97 ![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)|~related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)))),
% 0.16/5.97 inference(cnf_transformation,[status(thm)],[f631])).
% 0.16/5.97 fof(f637,definition,(
% 0.16/5.97 sQ0_spl <=> (related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f640,definition,(
% 0.16/5.97 sQ1_spl <=> (subset(sK29_skl,sK30_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f643,plain,(
% 0.16/5.97 sQ0_spl|sQ1_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f613,f637,f640])).
% 0.16/5.97 fof(f644,plain,(
% 0.16/5.97 ~sQ0_spl|~sQ1_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f614,f637,f640])).
% 0.16/5.97 fof(f645,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,X0))),
% 0.16/5.97 inference(resolution,[status(thm)],[f599,f612])).
% 0.16/5.97 fof(f647,definition,(
% 0.16/5.97 sQ2_spl <=> (empty_carrier(boole_POSet(sK28_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f648,plain,(
% 0.16/5.97 empty_carrier(boole_POSet(sK28_skl))|~sQ2_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f647])).
% 0.16/5.97 fof(f650,definition,(
% 0.16/5.97 sQ3_spl <=> (reflexive_relstr(boole_POSet(sK28_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f652,plain,(
% 0.16/5.97 ~reflexive_relstr(boole_POSet(sK28_skl))|sQ3_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f650])).
% 0.16/5.97 fof(f653,definition,(
% 0.16/5.97 sQ4_spl <=> (rel_str(boole_POSet(sK28_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f655,plain,(
% 0.16/5.97 ~rel_str(boole_POSet(sK28_skl))|sQ4_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f653])).
% 0.16/5.97 fof(f656,definition,(
% 0.16/5.97 ![X0]: (sQ5_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,X0)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f657,plain,(
% 0.16/5.97 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,X0)|~sQ5_spl)),
% 0.16/5.97 inference(component_clause,[status(thm)],[f656])).
% 0.16/5.97 fof(f659,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ5_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f645,f647,f650,f653,f656])).
% 0.16/5.97 fof(f662,plain,(
% 0.16/5.97 related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK30_skl)|~sQ5_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f657,f612])).
% 0.16/5.97 fof(f663,plain,(
% 0.16/5.97 related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK29_skl)|~sQ5_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f657,f611])).
% 0.16/5.97 fof(f685,plain,(
% 0.16/5.97 $false|~sQ2_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f648,f402])).
% 0.16/5.97 fof(f686,plain,(
% 0.16/5.97 ~sQ2_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f685])).
% 0.16/5.97 fof(f718,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|element(cast_to_el_of_LattPOSet(X0,sK6_skl(the_carrier(X0))),the_carrier(poset_of_lattice(X0))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f277,f240])).
% 0.16/5.97 fof(f719,plain,(
% 0.16/5.97 ![X0,X1]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|~element(X1,the_carrier(X0))|related_reflexive(X0,X1,X1))),
% 0.16/5.97 inference(resolution,[status(thm)],[f277,f599])).
% 0.16/5.97 fof(f724,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_lattice(X0))|~latt_str(boole_lattice(X0))|strict_rel_str(poset_of_lattice(boole_lattice(X0))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f289,f231])).
% 0.16/5.97 fof(f743,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_lattice(X0))|~latt_str(boole_lattice(X0))|strict_rel_str(boole_POSet(X0)))),
% 0.16/5.97 inference(forward_demodulation,[status(thm)],[f207,f724])).
% 0.16/5.97 fof(f744,plain,(
% 0.16/5.97 ![X0]: (~latt_str(boole_lattice(X0))|strict_rel_str(boole_POSet(X0)))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f743,f281])).
% 0.16/5.97 fof(f786,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|related_reflexive(X0,sK6_skl(the_carrier(X0)),sK6_skl(the_carrier(X0))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f719,f277])).
% 0.16/5.97 fof(f787,plain,(
% 0.16/5.97 empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK30_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f719,f612])).
% 0.16/5.97 fof(f788,plain,(
% 0.16/5.97 empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK29_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f719,f611])).
% 0.16/5.97 fof(f789,definition,(
% 0.16/5.97 sQ20_spl <=> (related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK30_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f792,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ20_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f787,f647,f650,f653,f789])).
% 0.16/5.97 fof(f793,definition,(
% 0.16/5.97 sQ21_spl <=> (related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK29_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f796,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ21_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f788,f647,f650,f653,f793])).
% 0.16/5.97 fof(f797,plain,(
% 0.16/5.97 $false|sQ4_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f655,f238])).
% 0.16/5.97 fof(f798,plain,(
% 0.16/5.97 sQ4_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f797])).
% 0.16/5.97 fof(f799,plain,(
% 0.16/5.97 $false|sQ3_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f652,f404])).
% 0.16/5.97 fof(f800,plain,(
% 0.16/5.97 sQ3_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f799])).
% 0.16/5.97 fof(f812,plain,(
% 0.16/5.97 ![X0]: (strict_rel_str(boole_POSet(X0)))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f744,f223])).
% 0.16/5.97 fof(f813,plain,(
% 0.16/5.97 ![X0]: (~rel_str(boole_POSet(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f812,f124])).
% 0.16/5.97 fof(f814,plain,(
% 0.16/5.97 ![X0]: (boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f813,f238])).
% 0.16/5.97 fof(f823,plain,(
% 0.16/5.97 one_sorted_str(sK12_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f488,f246])).
% 0.16/5.97 fof(f828,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_lattice(X0))|~latt_str(boole_lattice(X0))|poset_of_lattice(boole_lattice(X0))=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f206,f289])).
% 0.16/5.97 fof(f829,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_lattice(X0))|~latt_str(boole_lattice(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 0.16/5.97 inference(forward_demodulation,[status(thm)],[f207,f828])).
% 0.16/5.97 fof(f830,plain,(
% 0.16/5.97 ![X0]: (~latt_str(boole_lattice(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f829,f281])).
% 0.16/5.97 fof(f831,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|cast_to_el_of_LattPOSet(X0,sK6_skl(the_carrier(X0)))=sK6_skl(the_carrier(X0)))),
% 0.16/5.97 inference(resolution,[status(thm)],[f209,f277])).
% 0.16/5.97 fof(f842,plain,(
% 0.16/5.97 ![X0]: (boole_POSet(X0)=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f830,f223])).
% 0.16/5.97 fof(f843,plain,(
% 0.16/5.97 empty_carrier(sK12_skl)|~rel_str(sK12_skl)|related_reflexive(sK12_skl,sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl)))),
% 0.16/5.97 inference(resolution,[status(thm)],[f491,f786])).
% 0.16/5.97 fof(f847,definition,(
% 0.16/5.97 sQ24_spl <=> (empty_carrier(sK12_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f848,plain,(
% 0.16/5.97 empty_carrier(sK12_skl)|~sQ24_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f847])).
% 0.16/5.97 fof(f850,definition,(
% 0.16/5.97 sQ25_spl <=> (rel_str(sK12_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f852,plain,(
% 0.16/5.97 ~rel_str(sK12_skl)|sQ25_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f850])).
% 0.16/5.97 fof(f853,definition,(
% 0.16/5.97 sQ26_spl <=> (related_reflexive(sK12_skl,sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f854,plain,(
% 0.16/5.97 related_reflexive(sK12_skl,sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl)))|~sQ26_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f853])).
% 0.16/5.97 fof(f856,plain,(
% 0.16/5.97 sQ24_spl|~sQ25_spl|sQ26_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f843,f847,f850,f853])).
% 0.16/5.97 fof(f868,definition,(
% 0.16/5.97 sQ30_spl <=> (transitive_relstr(sK12_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f870,plain,(
% 0.16/5.97 ~transitive_relstr(sK12_skl)|sQ30_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f868])).
% 0.16/5.97 fof(f872,plain,(
% 0.16/5.97 $false|~sQ24_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f848,f489])).
% 0.16/5.97 fof(f873,plain,(
% 0.16/5.97 ~sQ24_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f872])).
% 0.16/5.97 fof(f874,plain,(
% 0.16/5.97 $false|sQ25_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f852,f488])).
% 0.16/5.97 fof(f875,plain,(
% 0.16/5.97 sQ25_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f874])).
% 0.16/5.97 fof(f884,plain,(
% 0.16/5.97 one_sorted_str(sK16_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f505,f246])).
% 0.16/5.97 fof(f885,plain,(
% 0.16/5.97 empty_carrier(sK16_skl)|~rel_str(sK16_skl)|related_reflexive(sK16_skl,sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl)))),
% 0.16/5.97 inference(resolution,[status(thm)],[f508,f786])).
% 0.16/5.97 fof(f886,plain,(
% 0.16/5.97 ~rel_str(sK16_skl)|empty_carrier(sK16_skl)|~trivial_carrier(sK16_skl)|complete_relstr(sK16_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f508,f168])).
% 0.16/5.97 fof(f887,plain,(
% 0.16/5.97 ~rel_str(sK16_skl)|empty_carrier(sK16_skl)|~trivial_carrier(sK16_skl)|antisymmetric_relstr(sK16_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f508,f167])).
% 0.16/5.97 fof(f889,definition,(
% 0.16/5.97 sQ31_spl <=> (empty_carrier(sK16_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f890,plain,(
% 0.16/5.97 empty_carrier(sK16_skl)|~sQ31_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f889])).
% 0.16/5.97 fof(f892,definition,(
% 0.16/5.97 sQ32_spl <=> (rel_str(sK16_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f894,plain,(
% 0.16/5.97 ~rel_str(sK16_skl)|sQ32_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f892])).
% 0.16/5.97 fof(f895,definition,(
% 0.16/5.97 sQ33_spl <=> (related_reflexive(sK16_skl,sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f896,plain,(
% 0.16/5.97 related_reflexive(sK16_skl,sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl)))|~sQ33_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f895])).
% 0.16/5.97 fof(f898,plain,(
% 0.16/5.97 sQ31_spl|~sQ32_spl|sQ33_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f885,f889,f892,f895])).
% 0.16/5.97 fof(f899,definition,(
% 0.16/5.97 sQ34_spl <=> (trivial_carrier(sK16_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f901,plain,(
% 0.16/5.97 ~trivial_carrier(sK16_skl)|sQ34_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f899])).
% 0.16/5.97 fof(f902,definition,(
% 0.16/5.97 sQ35_spl <=> (complete_relstr(sK16_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f905,plain,(
% 0.16/5.97 ~sQ32_spl|sQ31_spl|~sQ34_spl|sQ35_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f886,f892,f889,f899,f902])).
% 0.16/5.97 fof(f906,definition,(
% 0.16/5.97 sQ36_spl <=> (antisymmetric_relstr(sK16_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f909,plain,(
% 0.16/5.97 ~sQ32_spl|sQ31_spl|~sQ34_spl|sQ36_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f887,f892,f889,f899,f906])).
% 0.16/5.97 fof(f910,definition,(
% 0.16/5.97 sQ37_spl <=> (transitive_relstr(sK16_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f912,plain,(
% 0.16/5.97 ~transitive_relstr(sK16_skl)|sQ37_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f910])).
% 0.16/5.97 fof(f914,plain,(
% 0.16/5.97 $false|~sQ31_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f890,f506])).
% 0.16/5.97 fof(f915,plain,(
% 0.16/5.97 ~sQ31_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f914])).
% 0.16/5.97 fof(f916,plain,(
% 0.16/5.97 $false|sQ32_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f894,f505])).
% 0.16/5.97 fof(f917,plain,(
% 0.16/5.97 sQ32_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f916])).
% 0.16/5.97 fof(f918,plain,(
% 0.16/5.97 one_sorted_str(sK17_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f516,f246])).
% 0.16/5.97 fof(f919,plain,(
% 0.16/5.97 empty_carrier(sK17_skl)|~rel_str(sK17_skl)|related_reflexive(sK17_skl,sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl)))),
% 0.16/5.97 inference(resolution,[status(thm)],[f519,f786])).
% 0.16/5.97 fof(f923,definition,(
% 0.16/5.97 sQ38_spl <=> (empty_carrier(sK17_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f924,plain,(
% 0.16/5.97 empty_carrier(sK17_skl)|~sQ38_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f923])).
% 0.16/5.97 fof(f926,definition,(
% 0.16/5.97 sQ39_spl <=> (rel_str(sK17_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f928,plain,(
% 0.16/5.97 ~rel_str(sK17_skl)|sQ39_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f926])).
% 0.16/5.97 fof(f929,definition,(
% 0.16/5.97 sQ40_spl <=> (related_reflexive(sK17_skl,sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f930,plain,(
% 0.16/5.97 related_reflexive(sK17_skl,sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl)))|~sQ40_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f929])).
% 0.16/5.97 fof(f932,plain,(
% 0.16/5.97 sQ38_spl|~sQ39_spl|sQ40_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f919,f923,f926,f929])).
% 0.16/5.97 fof(f944,definition,(
% 0.16/5.97 sQ44_spl <=> (transitive_relstr(sK17_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f946,plain,(
% 0.16/5.97 ~transitive_relstr(sK17_skl)|sQ44_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f944])).
% 0.16/5.97 fof(f948,plain,(
% 0.16/5.97 $false|~sQ38_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f924,f517])).
% 0.16/5.97 fof(f949,plain,(
% 0.16/5.97 ~sQ38_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f948])).
% 0.16/5.97 fof(f950,plain,(
% 0.16/5.97 $false|sQ39_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f928,f516])).
% 0.16/5.97 fof(f951,plain,(
% 0.16/5.97 sQ39_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f950])).
% 0.16/5.97 fof(f952,plain,(
% 0.16/5.97 one_sorted_str(sK18_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f526,f246])).
% 0.16/5.97 fof(f953,plain,(
% 0.16/5.97 empty_carrier(sK18_skl)|~rel_str(sK18_skl)|related_reflexive(sK18_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl)))),
% 0.16/5.97 inference(resolution,[status(thm)],[f529,f786])).
% 0.16/5.97 fof(f957,definition,(
% 0.16/5.97 sQ45_spl <=> (empty_carrier(sK18_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f958,plain,(
% 0.16/5.97 empty_carrier(sK18_skl)|~sQ45_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f957])).
% 0.16/5.97 fof(f960,definition,(
% 0.16/5.97 sQ46_spl <=> (rel_str(sK18_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f962,plain,(
% 0.16/5.97 ~rel_str(sK18_skl)|sQ46_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f960])).
% 0.16/5.97 fof(f963,definition,(
% 0.16/5.97 sQ47_spl <=> (related_reflexive(sK18_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f964,plain,(
% 0.16/5.97 related_reflexive(sK18_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl)))|~sQ47_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f963])).
% 0.16/5.97 fof(f966,plain,(
% 0.16/5.97 sQ45_spl|~sQ46_spl|sQ47_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f953,f957,f960,f963])).
% 0.16/5.97 fof(f978,definition,(
% 0.16/5.97 sQ51_spl <=> (transitive_relstr(sK18_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f980,plain,(
% 0.16/5.97 ~transitive_relstr(sK18_skl)|sQ51_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f978])).
% 0.16/5.97 fof(f982,plain,(
% 0.16/5.97 $false|~sQ45_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f958,f527])).
% 0.16/5.97 fof(f983,plain,(
% 0.16/5.97 ~sQ45_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f982])).
% 0.16/5.97 fof(f984,plain,(
% 0.16/5.97 $false|sQ46_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f962,f526])).
% 0.16/5.97 fof(f985,plain,(
% 0.16/5.97 sQ46_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f984])).
% 0.16/5.97 fof(f986,plain,(
% 0.16/5.97 one_sorted_str(sK22_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f542,f246])).
% 0.16/5.97 fof(f987,plain,(
% 0.16/5.97 empty_carrier(sK22_skl)|~rel_str(sK22_skl)|related_reflexive(sK22_skl,sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl)))),
% 0.16/5.97 inference(resolution,[status(thm)],[f544,f786])).
% 0.16/5.97 fof(f991,definition,(
% 0.16/5.97 sQ52_spl <=> (empty_carrier(sK22_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f992,plain,(
% 0.16/5.97 empty_carrier(sK22_skl)|~sQ52_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f991])).
% 0.16/5.97 fof(f994,definition,(
% 0.16/5.97 sQ53_spl <=> (rel_str(sK22_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f996,plain,(
% 0.16/5.97 ~rel_str(sK22_skl)|sQ53_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f994])).
% 0.16/5.97 fof(f997,definition,(
% 0.16/5.97 sQ54_spl <=> (related_reflexive(sK22_skl,sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f998,plain,(
% 0.16/5.97 related_reflexive(sK22_skl,sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl)))|~sQ54_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f997])).
% 0.16/5.97 fof(f1000,plain,(
% 0.16/5.97 sQ52_spl|~sQ53_spl|sQ54_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f987,f991,f994,f997])).
% 0.16/5.97 fof(f1012,definition,(
% 0.16/5.97 sQ58_spl <=> (transitive_relstr(sK22_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1014,plain,(
% 0.16/5.97 ~transitive_relstr(sK22_skl)|sQ58_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1012])).
% 0.16/5.97 fof(f1016,plain,(
% 0.16/5.97 $false|~sQ52_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f992,f543])).
% 0.16/5.97 fof(f1017,plain,(
% 0.16/5.97 ~sQ52_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1016])).
% 0.16/5.97 fof(f1018,plain,(
% 0.16/5.97 $false|sQ53_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f996,f542])).
% 0.16/5.97 fof(f1019,plain,(
% 0.16/5.97 sQ53_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1018])).
% 0.16/5.97 fof(f1021,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|~related_reflexive(boole_POSet(sK28_skl),X0,sK30_skl)|related(boole_POSet(sK28_skl),X0,sK30_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f590,f612])).
% 0.16/5.97 fof(f1022,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|~related_reflexive(boole_POSet(sK28_skl),X0,sK29_skl)|related(boole_POSet(sK28_skl),X0,sK29_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f590,f611])).
% 0.16/5.97 fof(f1023,plain,(
% 0.16/5.97 empty_carrier(sK17_skl)|~reflexive_relstr(sK17_skl)|~rel_str(sK17_skl)|~element(sK6_skl(the_carrier(sK17_skl)),the_carrier(sK17_skl))|~element(sK6_skl(the_carrier(sK17_skl)),the_carrier(sK17_skl))|related(sK17_skl,sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl)))|~sQ40_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f590,f930])).
% 0.16/5.97 fof(f1024,plain,(
% 0.16/5.97 empty_carrier(sK16_skl)|~reflexive_relstr(sK16_skl)|~rel_str(sK16_skl)|~element(sK6_skl(the_carrier(sK16_skl)),the_carrier(sK16_skl))|~element(sK6_skl(the_carrier(sK16_skl)),the_carrier(sK16_skl))|related(sK16_skl,sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl)))|~sQ33_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f590,f896])).
% 0.16/5.97 fof(f1025,plain,(
% 0.16/5.97 empty_carrier(sK12_skl)|~reflexive_relstr(sK12_skl)|~rel_str(sK12_skl)|~element(sK6_skl(the_carrier(sK12_skl)),the_carrier(sK12_skl))|~element(sK6_skl(the_carrier(sK12_skl)),the_carrier(sK12_skl))|related(sK12_skl,sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl)))|~sQ26_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f590,f854])).
% 0.16/5.97 fof(f1027,plain,(
% 0.16/5.97 empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK30_skl,sK30_skl)|~sQ5_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f590,f662])).
% 0.16/5.97 fof(f1028,plain,(
% 0.16/5.97 empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK29_skl,sK29_skl)|~sQ5_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f590,f663])).
% 0.16/5.97 fof(f1031,definition,(
% 0.16/5.97 ![X0]: (sQ59_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~related_reflexive(boole_POSet(sK28_skl),X0,sK30_skl)|related(boole_POSet(sK28_skl),X0,sK30_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1032,plain,(
% 0.16/5.97 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~related_reflexive(boole_POSet(sK28_skl),X0,sK30_skl)|related(boole_POSet(sK28_skl),X0,sK30_skl)|~sQ59_spl)),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1031])).
% 0.16/5.97 fof(f1034,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ59_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1021,f647,f650,f653,f1031])).
% 0.16/5.97 fof(f1035,definition,(
% 0.16/5.97 ![X0]: (sQ60_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~related_reflexive(boole_POSet(sK28_skl),X0,sK29_skl)|related(boole_POSet(sK28_skl),X0,sK29_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1036,plain,(
% 0.16/5.97 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~related_reflexive(boole_POSet(sK28_skl),X0,sK29_skl)|related(boole_POSet(sK28_skl),X0,sK29_skl)|~sQ60_spl)),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1035])).
% 0.16/5.97 fof(f1038,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ60_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1022,f647,f650,f653,f1035])).
% 0.16/5.97 fof(f1039,definition,(
% 0.16/5.97 sQ61_spl <=> (reflexive_relstr(sK17_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1041,plain,(
% 0.16/5.97 ~reflexive_relstr(sK17_skl)|sQ61_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1039])).
% 0.16/5.97 fof(f1042,definition,(
% 0.16/5.97 sQ62_spl <=> (element(sK6_skl(the_carrier(sK17_skl)),the_carrier(sK17_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1044,plain,(
% 0.16/5.97 ~element(sK6_skl(the_carrier(sK17_skl)),the_carrier(sK17_skl))|sQ62_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1042])).
% 0.16/5.97 fof(f1045,definition,(
% 0.16/5.97 sQ63_spl <=> (related(sK17_skl,sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1046,plain,(
% 0.16/5.97 related(sK17_skl,sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl)))|~sQ63_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1045])).
% 0.16/5.97 fof(f1048,plain,(
% 0.16/5.97 sQ38_spl|~sQ61_spl|~sQ39_spl|~sQ62_spl|sQ63_spl|~sQ40_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1023,f923,f1039,f926,f1042,f1045,f929])).
% 0.16/5.97 fof(f1049,definition,(
% 0.16/5.97 sQ64_spl <=> (reflexive_relstr(sK16_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1051,plain,(
% 0.16/5.97 ~reflexive_relstr(sK16_skl)|sQ64_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1049])).
% 0.16/5.97 fof(f1052,definition,(
% 0.16/5.97 sQ65_spl <=> (element(sK6_skl(the_carrier(sK16_skl)),the_carrier(sK16_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1054,plain,(
% 0.16/5.97 ~element(sK6_skl(the_carrier(sK16_skl)),the_carrier(sK16_skl))|sQ65_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1052])).
% 0.16/5.97 fof(f1055,definition,(
% 0.16/5.97 sQ66_spl <=> (related(sK16_skl,sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1056,plain,(
% 0.16/5.97 related(sK16_skl,sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl)))|~sQ66_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1055])).
% 0.16/5.97 fof(f1058,plain,(
% 0.16/5.97 sQ31_spl|~sQ64_spl|~sQ32_spl|~sQ65_spl|sQ66_spl|~sQ33_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1024,f889,f1049,f892,f1052,f1055,f895])).
% 0.16/5.97 fof(f1059,definition,(
% 0.16/5.97 sQ67_spl <=> (reflexive_relstr(sK12_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1061,plain,(
% 0.16/5.97 ~reflexive_relstr(sK12_skl)|sQ67_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1059])).
% 0.16/5.97 fof(f1062,definition,(
% 0.16/5.97 sQ68_spl <=> (element(sK6_skl(the_carrier(sK12_skl)),the_carrier(sK12_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1064,plain,(
% 0.16/5.97 ~element(sK6_skl(the_carrier(sK12_skl)),the_carrier(sK12_skl))|sQ68_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1062])).
% 0.16/5.97 fof(f1065,definition,(
% 0.16/5.97 sQ69_spl <=> (related(sK12_skl,sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1066,plain,(
% 0.16/5.97 related(sK12_skl,sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl)))|~sQ69_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1065])).
% 0.16/5.97 fof(f1068,plain,(
% 0.16/5.97 sQ24_spl|~sQ67_spl|~sQ25_spl|~sQ68_spl|sQ69_spl|~sQ26_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1025,f847,f1059,f850,f1062,f1065,f853])).
% 0.16/5.97 fof(f1069,definition,(
% 0.16/5.97 sQ70_spl <=> (element(sK6_skl(the_carrier(poset_of_lattice(boole_POSet(sK28_skl)))),the_carrier(poset_of_lattice(boole_POSet(sK28_skl)))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1071,plain,(
% 0.16/5.97 ~element(sK6_skl(the_carrier(poset_of_lattice(boole_POSet(sK28_skl)))),the_carrier(poset_of_lattice(boole_POSet(sK28_skl))))|sQ70_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1069])).
% 0.16/5.97 fof(f1076,definition,(
% 0.16/5.97 sQ72_spl <=> (element(sK30_skl,the_carrier(boole_POSet(sK28_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1078,plain,(
% 0.16/5.97 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|sQ72_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1076])).
% 0.16/5.97 fof(f1079,definition,(
% 0.16/5.97 sQ73_spl <=> (related(boole_POSet(sK28_skl),sK30_skl,sK30_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1080,plain,(
% 0.16/5.97 related(boole_POSet(sK28_skl),sK30_skl,sK30_skl)|~sQ73_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1079])).
% 0.16/5.97 fof(f1082,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ72_spl|sQ73_spl|~sQ5_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1027,f647,f650,f653,f1076,f1079,f656])).
% 0.16/5.97 fof(f1083,definition,(
% 0.16/5.97 sQ74_spl <=> (element(sK29_skl,the_carrier(boole_POSet(sK28_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1085,plain,(
% 0.16/5.97 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|sQ74_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1083])).
% 0.16/5.97 fof(f1086,definition,(
% 0.16/5.97 sQ75_spl <=> (related(boole_POSet(sK28_skl),sK29_skl,sK29_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1087,plain,(
% 0.16/5.97 related(boole_POSet(sK28_skl),sK29_skl,sK29_skl)|~sQ75_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1086])).
% 0.16/5.97 fof(f1089,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ74_spl|sQ75_spl|~sQ5_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1028,f647,f650,f653,f1083,f1086,f656])).
% 0.16/5.97 fof(f1090,definition,(
% 0.16/5.97 sQ76_spl <=> (related(boole_POSet(sK28_skl),sK29_skl,sK30_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1091,plain,(
% 0.16/5.97 related(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~sQ76_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1090])).
% 0.16/5.97 fof(f1096,plain,(
% 0.16/5.97 $false|sQ72_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1078,f612])).
% 0.16/5.97 fof(f1097,plain,(
% 0.16/5.97 sQ72_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1096])).
% 0.16/5.97 fof(f1098,plain,(
% 0.16/5.97 $false|sQ74_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1085,f611])).
% 0.16/5.97 fof(f1099,plain,(
% 0.16/5.97 sQ74_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1098])).
% 0.16/5.97 fof(f1100,plain,(
% 0.16/5.97 $false|sQ70_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1071,f277])).
% 0.16/5.97 fof(f1101,plain,(
% 0.16/5.97 sQ70_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1100])).
% 0.16/5.97 fof(f1102,plain,(
% 0.16/5.97 $false|sQ68_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1064,f277])).
% 0.16/5.97 fof(f1103,plain,(
% 0.16/5.97 sQ68_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1102])).
% 0.16/5.97 fof(f1104,plain,(
% 0.16/5.97 $false|sQ67_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1061,f491])).
% 0.16/5.97 fof(f1105,plain,(
% 0.16/5.97 sQ67_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1104])).
% 0.16/5.97 fof(f1106,plain,(
% 0.16/5.97 $false|sQ65_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1054,f277])).
% 0.16/5.97 fof(f1107,plain,(
% 0.16/5.97 sQ65_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1106])).
% 0.16/5.97 fof(f1108,plain,(
% 0.16/5.97 $false|sQ64_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1051,f508])).
% 0.16/5.97 fof(f1109,plain,(
% 0.16/5.97 sQ64_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1108])).
% 0.16/5.97 fof(f1123,plain,(
% 0.16/5.97 empty_carrier(sK18_skl)|~reflexive_relstr(sK18_skl)|~rel_str(sK18_skl)|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|related(sK18_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl)))|~sQ47_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f964,f590])).
% 0.16/5.97 fof(f1124,definition,(
% 0.16/5.97 sQ78_spl <=> (reflexive_relstr(sK18_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1126,plain,(
% 0.16/5.97 ~reflexive_relstr(sK18_skl)|sQ78_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1124])).
% 0.16/5.97 fof(f1127,definition,(
% 0.16/5.97 sQ79_spl <=> (element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1129,plain,(
% 0.16/5.97 ~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|sQ79_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1127])).
% 0.16/5.97 fof(f1130,definition,(
% 0.16/5.97 sQ80_spl <=> (related(sK18_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1131,plain,(
% 0.16/5.97 related(sK18_skl,sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl)))|~sQ80_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1130])).
% 0.16/5.97 fof(f1133,plain,(
% 0.16/5.97 sQ45_spl|~sQ78_spl|~sQ46_spl|~sQ79_spl|sQ80_spl|~sQ47_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1123,f957,f1124,f960,f1127,f1130,f963])).
% 0.16/5.97 fof(f1134,plain,(
% 0.16/5.97 $false|sQ79_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1129,f277])).
% 0.16/5.97 fof(f1135,plain,(
% 0.16/5.97 sQ79_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1134])).
% 0.16/5.97 fof(f1136,plain,(
% 0.16/5.97 $false|sQ78_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1126,f529])).
% 0.16/5.97 fof(f1137,plain,(
% 0.16/5.97 sQ78_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1136])).
% 0.16/5.97 fof(f1138,plain,(
% 0.16/5.97 empty_carrier(sK22_skl)|~reflexive_relstr(sK22_skl)|~rel_str(sK22_skl)|~element(sK6_skl(the_carrier(sK22_skl)),the_carrier(sK22_skl))|~element(sK6_skl(the_carrier(sK22_skl)),the_carrier(sK22_skl))|related(sK22_skl,sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl)))|~sQ54_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f998,f590])).
% 0.16/5.97 fof(f1139,definition,(
% 0.16/5.97 sQ81_spl <=> (reflexive_relstr(sK22_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1141,plain,(
% 0.16/5.97 ~reflexive_relstr(sK22_skl)|sQ81_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1139])).
% 0.16/5.97 fof(f1142,definition,(
% 0.16/5.97 sQ82_spl <=> (element(sK6_skl(the_carrier(sK22_skl)),the_carrier(sK22_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1144,plain,(
% 0.16/5.97 ~element(sK6_skl(the_carrier(sK22_skl)),the_carrier(sK22_skl))|sQ82_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1142])).
% 0.16/5.97 fof(f1145,definition,(
% 0.16/5.97 sQ83_spl <=> (related(sK22_skl,sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1146,plain,(
% 0.16/5.97 related(sK22_skl,sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl)))|~sQ83_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1145])).
% 0.16/5.97 fof(f1148,plain,(
% 0.16/5.97 sQ52_spl|~sQ81_spl|~sQ53_spl|~sQ82_spl|sQ83_spl|~sQ54_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1138,f991,f1139,f994,f1142,f1145,f997])).
% 0.16/5.97 fof(f1149,plain,(
% 0.16/5.97 $false|sQ82_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1144,f277])).
% 0.16/5.97 fof(f1150,plain,(
% 0.16/5.97 sQ82_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1149])).
% 0.16/5.97 fof(f1151,plain,(
% 0.16/5.97 $false|sQ81_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1141,f544])).
% 0.16/5.97 fof(f1152,plain,(
% 0.16/5.97 sQ81_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1151])).
% 0.16/5.97 fof(f1156,plain,(
% 0.16/5.97 ~rel_str(boole_POSet(sK28_skl))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|in(ordered_pair(sK29_skl,sK29_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ75_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1087,f213])).
% 0.16/5.97 fof(f1157,definition,(
% 0.16/5.97 sQ84_spl <=> (in(ordered_pair(sK29_skl,sK29_skl),the_InternalRel(boole_POSet(sK28_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1158,plain,(
% 0.16/5.97 in(ordered_pair(sK29_skl,sK29_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ84_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1157])).
% 0.16/5.97 fof(f1160,plain,(
% 0.16/5.97 ~sQ4_spl|~sQ74_spl|sQ84_spl|~sQ75_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1156,f653,f1083,f1157,f1086])).
% 0.16/5.97 fof(f1161,plain,(
% 0.16/5.97 ~rel_str(boole_POSet(sK28_skl))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|in(ordered_pair(sK30_skl,sK30_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ73_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1080,f213])).
% 0.16/5.97 fof(f1162,definition,(
% 0.16/5.97 sQ85_spl <=> (in(ordered_pair(sK30_skl,sK30_skl),the_InternalRel(boole_POSet(sK28_skl))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1163,plain,(
% 0.16/5.97 in(ordered_pair(sK30_skl,sK30_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ85_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1162])).
% 0.16/5.97 fof(f1165,plain,(
% 0.16/5.97 ~sQ4_spl|~sQ72_spl|sQ85_spl|~sQ73_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1161,f653,f1076,f1162,f1079])).
% 0.16/5.97 fof(f1179,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,sK30_skl)|~related(boole_POSet(sK28_skl),X0,sK30_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f591,f612])).
% 0.16/5.97 fof(f1180,plain,(
% 0.16/5.97 ![X0]: (empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,sK29_skl)|~related(boole_POSet(sK28_skl),X0,sK29_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f591,f611])).
% 0.16/5.97 fof(f1183,definition,(
% 0.16/5.97 ![X0]: (sQ87_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,sK30_skl)|~related(boole_POSet(sK28_skl),X0,sK30_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1184,plain,(
% 0.16/5.97 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,sK30_skl)|~related(boole_POSet(sK28_skl),X0,sK30_skl)|~sQ87_spl)),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1183])).
% 0.16/5.97 fof(f1186,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ87_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1179,f647,f650,f653,f1183])).
% 0.16/5.97 fof(f1187,definition,(
% 0.16/5.97 ![X0]: (sQ88_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,sK29_skl)|~related(boole_POSet(sK28_skl),X0,sK29_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1188,plain,(
% 0.16/5.97 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),X0,sK29_skl)|~related(boole_POSet(sK28_skl),X0,sK29_skl)|~sQ88_spl)),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1187])).
% 0.16/5.97 fof(f1190,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ88_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1180,f647,f650,f653,f1187])).
% 0.16/5.97 fof(f1215,plain,(
% 0.16/5.97 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_lattice(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 0.16/5.97 inference(paramodulation,[status(thm)],[f207,f633])).
% 0.16/5.97 fof(f1216,plain,(
% 0.16/5.97 ![X0,X1,X2]: (~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_lattice(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1215,f281])).
% 0.16/5.97 fof(f1239,plain,(
% 0.16/5.97 ~rel_str(sK12_skl)|~element(sK6_skl(the_carrier(sK12_skl)),the_carrier(sK12_skl))|~element(sK6_skl(the_carrier(sK12_skl)),the_carrier(sK12_skl))|in(ordered_pair(sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl))),the_InternalRel(sK12_skl))|~sQ69_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1066,f213])).
% 0.16/5.97 fof(f1241,definition,(
% 0.16/5.97 sQ93_spl <=> (in(ordered_pair(sK6_skl(the_carrier(sK12_skl)),sK6_skl(the_carrier(sK12_skl))),the_InternalRel(sK12_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1244,plain,(
% 0.16/5.97 ~sQ25_spl|~sQ68_spl|sQ93_spl|~sQ69_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1239,f850,f1062,f1241,f1065])).
% 0.16/5.97 fof(f1246,plain,(
% 0.16/5.97 ~rel_str(sK16_skl)|~element(sK6_skl(the_carrier(sK16_skl)),the_carrier(sK16_skl))|~element(sK6_skl(the_carrier(sK16_skl)),the_carrier(sK16_skl))|in(ordered_pair(sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl))),the_InternalRel(sK16_skl))|~sQ66_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1056,f213])).
% 0.16/5.97 fof(f1248,definition,(
% 0.16/5.97 sQ94_spl <=> (in(ordered_pair(sK6_skl(the_carrier(sK16_skl)),sK6_skl(the_carrier(sK16_skl))),the_InternalRel(sK16_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1251,plain,(
% 0.16/5.97 ~sQ32_spl|~sQ65_spl|sQ94_spl|~sQ66_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1246,f892,f1052,f1248,f1055])).
% 0.16/5.97 fof(f1253,plain,(
% 0.16/5.97 ~rel_str(sK17_skl)|~element(sK6_skl(the_carrier(sK17_skl)),the_carrier(sK17_skl))|~element(sK6_skl(the_carrier(sK17_skl)),the_carrier(sK17_skl))|in(ordered_pair(sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl))),the_InternalRel(sK17_skl))|~sQ63_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1046,f213])).
% 0.16/5.97 fof(f1255,definition,(
% 0.16/5.97 sQ95_spl <=> (in(ordered_pair(sK6_skl(the_carrier(sK17_skl)),sK6_skl(the_carrier(sK17_skl))),the_InternalRel(sK17_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1258,plain,(
% 0.16/5.97 ~sQ39_spl|~sQ62_spl|sQ95_spl|~sQ63_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1253,f926,f1042,f1255,f1045])).
% 0.16/5.97 fof(f1259,plain,(
% 0.16/5.97 $false|sQ62_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1044,f277])).
% 0.16/5.97 fof(f1260,plain,(
% 0.16/5.97 sQ62_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1259])).
% 0.16/5.97 fof(f1261,plain,(
% 0.16/5.97 $false|sQ61_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1041,f519])).
% 0.16/5.97 fof(f1262,plain,(
% 0.16/5.97 sQ61_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1261])).
% 0.16/5.97 fof(f1264,plain,(
% 0.16/5.97 ~rel_str(sK18_skl)|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|~element(sK6_skl(the_carrier(sK18_skl)),the_carrier(sK18_skl))|in(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl))),the_InternalRel(sK18_skl))|~sQ80_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1131,f213])).
% 0.16/5.97 fof(f1266,definition,(
% 0.16/5.97 sQ96_spl <=> (in(ordered_pair(sK6_skl(the_carrier(sK18_skl)),sK6_skl(the_carrier(sK18_skl))),the_InternalRel(sK18_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1269,plain,(
% 0.16/5.97 ~sQ46_spl|~sQ79_spl|sQ96_spl|~sQ80_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1264,f960,f1127,f1266,f1130])).
% 0.16/5.97 fof(f1271,plain,(
% 0.16/5.97 ~rel_str(sK22_skl)|~element(sK6_skl(the_carrier(sK22_skl)),the_carrier(sK22_skl))|~element(sK6_skl(the_carrier(sK22_skl)),the_carrier(sK22_skl))|in(ordered_pair(sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl))),the_InternalRel(sK22_skl))|~sQ83_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1146,f213])).
% 0.16/5.97 fof(f1273,definition,(
% 0.16/5.97 sQ97_spl <=> (in(ordered_pair(sK6_skl(the_carrier(sK22_skl)),sK6_skl(the_carrier(sK22_skl))),the_InternalRel(sK22_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1276,plain,(
% 0.16/5.97 ~sQ53_spl|~sQ82_spl|sQ97_spl|~sQ83_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1271,f994,f1142,f1273,f1145])).
% 0.16/5.97 fof(f1282,plain,(
% 0.16/5.97 empty_carrier(boole_POSet(sK28_skl))|~reflexive_relstr(boole_POSet(sK28_skl))|~rel_str(boole_POSet(sK28_skl))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~sQ76_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1091,f591])).
% 0.16/5.97 fof(f1284,plain,(
% 0.16/5.97 sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ74_spl|~sQ72_spl|sQ0_spl|~sQ76_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1282,f647,f650,f653,f1083,f1076,f637,f1090])).
% 0.16/5.97 fof(f1287,plain,(
% 0.16/5.97 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~sQ87_spl|~sQ76_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1184,f1091])).
% 0.16/5.97 fof(f1289,plain,(
% 0.16/5.97 ~sQ74_spl|sQ0_spl|~sQ87_spl|~sQ76_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1287,f1083,f637,f1183,f1090])).
% 0.16/5.97 fof(f1305,plain,(
% 0.16/5.97 ![X0]: (relation_of2_as_subset(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f259,f238])).
% 0.16/5.97 fof(f1357,plain,(
% 0.16/5.97 ![X0,X1,X2]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_lattice(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1216,f289])).
% 0.16/5.97 fof(f1456,plain,(
% 0.16/5.97 ![X0]: (element(the_InternalRel(boole_POSet(X0)),powerset(cartesian_product2(the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f1305,f253])).
% 0.16/5.97 fof(f1457,plain,(
% 0.16/5.97 ![X0]: (relation_of2(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f1305,f582])).
% 0.16/5.97 fof(f1494,plain,(
% 0.16/5.97 ![X0,X1]: (~in(X0,the_InternalRel(boole_POSet(X1)))|~empty(cartesian_product2(the_carrier(boole_POSet(X1)),the_carrier(boole_POSet(X1)))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f1456,f624])).
% 0.16/5.97 fof(f1495,plain,(
% 0.16/5.97 ![X0,X1]: (~in(X0,the_InternalRel(boole_POSet(X1)))|element(X0,cartesian_product2(the_carrier(boole_POSet(X1)),the_carrier(boole_POSet(X1)))))),
% 0.16/5.97 inference(resolution,[status(thm)],[f1456,f621])).
% 0.16/5.97 fof(f1540,plain,(
% 0.16/5.97 element(ordered_pair(sK30_skl,sK30_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ85_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1495,f1163])).
% 0.16/5.97 fof(f1541,plain,(
% 0.16/5.97 element(ordered_pair(sK29_skl,sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ84_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1495,f1158])).
% 0.16/5.97 fof(f1555,plain,(
% 0.16/5.97 empty(cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|in(ordered_pair(sK30_skl,sK30_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ85_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1540,f607])).
% 0.16/5.97 fof(f1556,definition,(
% 0.16/5.97 sQ108_spl <=> (empty(cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl)))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1557,plain,(
% 0.16/5.97 empty(cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ108_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1556])).
% 0.16/5.97 fof(f1559,definition,(
% 0.16/5.97 sQ109_spl <=> (in(ordered_pair(sK30_skl,sK30_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl)))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1562,plain,(
% 0.16/5.97 sQ108_spl|sQ109_spl|~sQ85_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1555,f1556,f1559,f1162])).
% 0.16/5.97 fof(f1563,plain,(
% 0.16/5.97 empty(cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|in(ordered_pair(sK29_skl,sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ84_spl),
% 0.16/5.97 inference(resolution,[status(thm)],[f1541,f607])).
% 0.16/5.97 fof(f1564,definition,(
% 0.16/5.97 sQ110_spl <=> (in(ordered_pair(sK29_skl,sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl)))))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1567,plain,(
% 0.16/5.97 sQ108_spl|sQ110_spl|~sQ84_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1563,f1556,f1564,f1157])).
% 0.16/5.97 fof(f1573,plain,(
% 0.16/5.97 ![X0]: (~in(X0,the_InternalRel(boole_POSet(sK28_skl)))|~sQ108_spl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f1557,f1494])).
% 0.16/5.97 fof(f1576,plain,(
% 0.16/5.97 $false|~sQ108_spl|~sQ85_spl),
% 0.16/5.97 inference(backward_subsumption_resolution,[status(thm)],[f1163,f1573])).
% 0.16/5.97 fof(f1580,plain,(
% 0.16/5.97 ~sQ108_spl|~sQ85_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1576])).
% 0.16/5.97 fof(f1651,plain,(
% 0.16/5.97 ![X0,X1,X2]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=boole_POSet(X2)|X1=the_carrier(boole_lattice(X2)))),
% 0.16/5.97 inference(paramodulation,[status(thm)],[f842,f420])).
% 0.16/5.97 fof(f1660,plain,(
% 0.16/5.97 ![X0]: (~relation_of2(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0)))|the_carrier(boole_POSet(X0))=the_carrier(boole_lattice(X0)))),
% 0.16/5.97 inference(resolution,[status(thm)],[f1651,f814])).
% 0.16/5.97 fof(f1663,plain,(
% 0.16/5.97 ![X0]: (the_carrier(boole_POSet(X0))=the_carrier(boole_lattice(X0)))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1660,f1457])).
% 0.16/5.97 fof(f1667,plain,(
% 0.16/5.97 ![X0,X1,X2]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 0.16/5.97 inference(backward_demodulation,[status(thm)],[f1663,f1357])).
% 0.16/5.97 fof(f1672,plain,(
% 0.16/5.97 ![X0,X1]: (empty_carrier(boole_lattice(X0))|~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|cast_to_el_of_LattPOSet(boole_lattice(X0),X1)=X1)),
% 0.16/5.97 inference(paramodulation,[status(thm)],[f1663,f209])).
% 0.16/5.97 fof(f1674,plain,(
% 0.16/5.97 ![X0,X1]: (empty_carrier(boole_lattice(X0))|~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|element(cast_to_el_of_LattPOSet(boole_lattice(X0),X1),the_carrier(poset_of_lattice(boole_lattice(X0)))))),
% 0.16/5.97 inference(paramodulation,[status(thm)],[f1663,f240])).
% 0.16/5.97 fof(f1677,plain,(
% 0.16/5.97 ![X0,X1,X2]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 0.16/5.97 inference(forward_demodulation,[status(thm)],[f1663,f1667])).
% 0.16/5.97 fof(f1678,plain,(
% 0.16/5.97 ![X0,X1,X2]: (~element(X0,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_POSet(X1)))|below_refl(boole_lattice(X1),X0,X2)|~related_reflexive(boole_POSet(X1),cast_to_el_of_LattPOSet(boole_lattice(X1),X0),cast_to_el_of_LattPOSet(boole_lattice(X1),X2)))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1677,f223])).
% 0.16/5.97 fof(f1684,plain,(
% 0.16/5.97 ![X0,X1]: (~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|cast_to_el_of_LattPOSet(boole_lattice(X0),X1)=X1)),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1672,f281])).
% 0.16/5.97 fof(f1686,plain,(
% 0.16/5.97 ![X0,X1]: (empty_carrier(boole_lattice(X0))|~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|element(cast_to_el_of_LattPOSet(boole_lattice(X0),X1),the_carrier(boole_POSet(X0))))),
% 0.16/5.97 inference(forward_demodulation,[status(thm)],[f207,f1674])).
% 0.16/5.97 fof(f1687,plain,(
% 0.16/5.97 ![X0,X1]: (~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|element(cast_to_el_of_LattPOSet(boole_lattice(X0),X1),the_carrier(boole_POSet(X0))))),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1686,f281])).
% 0.16/5.97 fof(f1697,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|sK8_skl=latt_str_of(the_carrier(sK8_skl),the_L_join(sK8_skl),the_L_meet(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f429,f126])).
% 0.16/5.97 fof(f1698,definition,(
% 0.16/5.97 sQ112_spl <=> (latt_str(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1700,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|sQ112_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1698])).
% 0.16/5.97 fof(f1701,definition,(
% 0.16/5.97 sQ113_spl <=> (sK8_skl=latt_str_of(the_carrier(sK8_skl),the_L_join(sK8_skl),the_L_meet(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1704,plain,(
% 0.16/5.97 ~sQ112_spl|sQ113_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1697,f1698,f1701])).
% 0.16/5.97 fof(f1705,plain,(
% 0.16/5.97 $false|sQ112_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1700,f427])).
% 0.16/5.97 fof(f1706,plain,(
% 0.16/5.97 sQ112_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1705])).
% 0.16/5.97 fof(f1708,definition,(
% 0.16/5.97 sQ114_spl <=> (empty_carrier(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1709,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~sQ114_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1708])).
% 0.16/5.97 fof(f1711,definition,(
% 0.16/5.97 sQ115_spl <=> (join_associative(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1713,plain,(
% 0.16/5.97 ~join_associative(sK8_skl)|sQ115_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1711])).
% 0.16/5.97 fof(f1714,definition,(
% 0.16/5.97 sQ116_spl <=> (meet_commutative(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1717,definition,(
% 0.16/5.97 sQ117_spl <=> (meet_associative(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1720,definition,(
% 0.16/5.97 sQ118_spl <=> (meet_absorbing(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1723,definition,(
% 0.16/5.97 sQ119_spl <=> (join_absorbing(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1726,definition,(
% 0.16/5.97 sQ120_spl <=> (lattice(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1731,definition,(
% 0.16/5.97 sQ121_spl <=> (join_commutative(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1733,plain,(
% 0.16/5.97 ~join_commutative(sK8_skl)|sQ121_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1731])).
% 0.16/5.97 fof(f1735,plain,(
% 0.16/5.97 $false|~sQ114_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1709,f428])).
% 0.16/5.97 fof(f1736,plain,(
% 0.16/5.97 ~sQ114_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1735])).
% 0.16/5.97 fof(f1737,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|empty_carrier(sK8_skl)|~join_commutative(sK8_skl)|~join_associative(sK8_skl)|~meet_associative(sK8_skl)|~meet_absorbing(sK8_skl)|~join_absorbing(sK8_skl)|lattice(sK8_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f432,f162])).
% 0.16/5.97 fof(f1738,plain,(
% 0.16/5.97 ~sQ112_spl|sQ114_spl|~sQ121_spl|~sQ115_spl|~sQ117_spl|~sQ118_spl|~sQ119_spl|sQ120_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1737,f1698,f1708,f1731,f1711,f1717,f1720,f1723,f1726])).
% 0.16/5.97 fof(f1739,plain,(
% 0.16/5.97 $false|sQ115_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1713,f431])).
% 0.16/5.97 fof(f1740,plain,(
% 0.16/5.97 sQ115_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1739])).
% 0.16/5.97 fof(f1741,plain,(
% 0.16/5.97 $false|sQ121_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1733,f430])).
% 0.16/5.97 fof(f1742,plain,(
% 0.16/5.97 sQ121_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1741])).
% 0.16/5.97 fof(f1749,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|relation(relation_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f242])).
% 0.16/5.97 fof(f1750,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|transitive(k2_lattice3(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f227])).
% 0.16/5.97 fof(f1751,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|antisymmetric(k2_lattice3(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f226])).
% 0.16/5.97 fof(f1752,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|reflexive(k2_lattice3(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f225])).
% 0.16/5.97 fof(f1753,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|poset_of_lattice(sK8_skl)=rel_str_of(the_carrier(sK8_skl),k2_lattice3(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f206])).
% 0.16/5.97 fof(f1754,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|with_infima_relstr(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f319])).
% 0.16/5.97 fof(f1755,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|with_suprema_relstr(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f318])).
% 0.16/5.97 fof(f1756,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|rel_str(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f235])).
% 0.16/5.97 fof(f1757,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|antisymmetric_relstr(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f234])).
% 0.16/5.97 fof(f1758,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|transitive_relstr(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f233])).
% 0.16/5.97 fof(f1759,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|reflexive_relstr(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f232])).
% 0.16/5.97 fof(f1760,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|strict_rel_str(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f231])).
% 0.16/5.97 fof(f1761,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|relation_of2_as_subset(k2_lattice3(sK8_skl),the_carrier(sK8_skl),the_carrier(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f229])).
% 0.16/5.97 fof(f1762,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|v1_partfun1(k2_lattice3(sK8_skl),the_carrier(sK8_skl),the_carrier(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f228])).
% 0.16/5.97 fof(f1764,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|empty_carrier(sK8_skl)|join_absorbing(sK8_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f150])).
% 0.16/5.97 fof(f1765,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|empty_carrier(sK8_skl)|meet_absorbing(sK8_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f149])).
% 0.16/5.97 fof(f1766,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|empty_carrier(sK8_skl)|meet_associative(sK8_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f148])).
% 0.16/5.97 fof(f1767,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|empty_carrier(sK8_skl)|meet_commutative(sK8_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f436,f147])).
% 0.16/5.97 fof(f1773,definition,(
% 0.16/5.97 sQ122_spl <=> (relation(relation_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1776,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ122_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1749,f1708,f1698,f1773])).
% 0.16/5.97 fof(f1777,definition,(
% 0.16/5.97 sQ123_spl <=> (transitive(k2_lattice3(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1780,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ123_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1750,f1708,f1698,f1777])).
% 0.16/5.97 fof(f1781,definition,(
% 0.16/5.97 sQ124_spl <=> (antisymmetric(k2_lattice3(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1784,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ124_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1751,f1708,f1698,f1781])).
% 0.16/5.97 fof(f1785,definition,(
% 0.16/5.97 sQ125_spl <=> (reflexive(k2_lattice3(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1788,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ125_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1752,f1708,f1698,f1785])).
% 0.16/5.97 fof(f1789,definition,(
% 0.16/5.97 sQ126_spl <=> (poset_of_lattice(sK8_skl)=rel_str_of(the_carrier(sK8_skl),k2_lattice3(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1792,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ126_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1753,f1708,f1698,f1789])).
% 0.16/5.97 fof(f1793,definition,(
% 0.16/5.97 sQ127_spl <=> (with_infima_relstr(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1796,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ127_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1754,f1708,f1698,f1793])).
% 0.16/5.97 fof(f1797,definition,(
% 0.16/5.97 sQ128_spl <=> (with_suprema_relstr(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1800,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ128_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1755,f1708,f1698,f1797])).
% 0.16/5.97 fof(f1801,definition,(
% 0.16/5.97 sQ129_spl <=> (rel_str(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1804,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ129_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1756,f1708,f1698,f1801])).
% 0.16/5.97 fof(f1805,definition,(
% 0.16/5.97 sQ130_spl <=> (antisymmetric_relstr(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1808,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ130_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1757,f1708,f1698,f1805])).
% 0.16/5.97 fof(f1809,definition,(
% 0.16/5.97 sQ131_spl <=> (transitive_relstr(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1812,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ131_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1758,f1708,f1698,f1809])).
% 0.16/5.97 fof(f1813,definition,(
% 0.16/5.97 sQ132_spl <=> (reflexive_relstr(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1816,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ132_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1759,f1708,f1698,f1813])).
% 0.16/5.97 fof(f1817,definition,(
% 0.16/5.97 sQ133_spl <=> (strict_rel_str(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1820,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ133_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1760,f1708,f1698,f1817])).
% 0.16/5.97 fof(f1821,definition,(
% 0.16/5.97 sQ134_spl <=> (relation_of2_as_subset(k2_lattice3(sK8_skl),the_carrier(sK8_skl),the_carrier(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1824,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ134_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1761,f1708,f1698,f1821])).
% 0.16/5.97 fof(f1825,definition,(
% 0.16/5.97 sQ135_spl <=> (v1_partfun1(k2_lattice3(sK8_skl),the_carrier(sK8_skl),the_carrier(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1828,plain,(
% 0.16/5.97 sQ114_spl|~sQ112_spl|sQ135_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1762,f1708,f1698,f1825])).
% 0.16/5.97 fof(f1832,definition,(
% 0.16/5.97 sQ137_spl <=> (modular_lattstr(sK8_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1836,plain,(
% 0.16/5.97 ~sQ112_spl|sQ114_spl|sQ119_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1764,f1698,f1708,f1723])).
% 0.16/5.97 fof(f1837,plain,(
% 0.16/5.97 ~sQ112_spl|sQ114_spl|sQ118_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1765,f1698,f1708,f1720])).
% 0.16/5.97 fof(f1838,plain,(
% 0.16/5.97 ~sQ112_spl|sQ114_spl|sQ117_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1766,f1698,f1708,f1717])).
% 0.16/5.97 fof(f1839,plain,(
% 0.16/5.97 ~sQ112_spl|sQ114_spl|sQ116_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1767,f1698,f1708,f1714])).
% 0.16/5.97 fof(f1858,plain,(
% 0.16/5.97 ~latt_str(sK8_skl)|empty_carrier(sK8_skl)|~lattice(sK8_skl)|modular_lattstr(sK8_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f437,f203])).
% 0.16/5.97 fof(f1866,plain,(
% 0.16/5.97 ~sQ112_spl|sQ114_spl|~sQ120_spl|sQ137_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1858,f1698,f1708,f1726,f1832])).
% 0.16/5.97 fof(f1900,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~lattice(sK8_skl)|~latt_str(sK8_skl)|lower_bounded_relstr(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f439,f378])).
% 0.16/5.97 fof(f1902,definition,(
% 0.16/5.97 sQ144_spl <=> (lower_bounded_relstr(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1905,plain,(
% 0.16/5.97 sQ114_spl|~sQ120_spl|~sQ112_spl|sQ144_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1900,f1708,f1726,f1698,f1902])).
% 0.16/5.97 fof(f1907,plain,(
% 0.16/5.97 empty_carrier(sK8_skl)|~lattice(sK8_skl)|~latt_str(sK8_skl)|upper_bounded_relstr(poset_of_lattice(sK8_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f440,f343])).
% 0.16/5.97 fof(f1909,definition,(
% 0.16/5.97 sQ145_spl <=> (upper_bounded_relstr(poset_of_lattice(sK8_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1912,plain,(
% 0.16/5.97 sQ114_spl|~sQ120_spl|~sQ112_spl|sQ145_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1907,f1708,f1726,f1698,f1909])).
% 0.16/5.97 fof(f1916,plain,(
% 0.16/5.97 ~latt_str(sK9_skl)|sK9_skl=latt_str_of(the_carrier(sK9_skl),the_L_join(sK9_skl),the_L_meet(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f444,f126])).
% 0.16/5.97 fof(f1917,definition,(
% 0.16/5.97 sQ146_spl <=> (latt_str(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1919,plain,(
% 0.16/5.97 ~latt_str(sK9_skl)|sQ146_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1917])).
% 0.16/5.97 fof(f1920,definition,(
% 0.16/5.97 sQ147_spl <=> (sK9_skl=latt_str_of(the_carrier(sK9_skl),the_L_join(sK9_skl),the_L_meet(sK9_skl)))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1923,plain,(
% 0.16/5.97 ~sQ146_spl|sQ147_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1916,f1917,f1920])).
% 0.16/5.97 fof(f1924,plain,(
% 0.16/5.97 $false|sQ146_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1919,f442])).
% 0.16/5.97 fof(f1925,plain,(
% 0.16/5.97 sQ146_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1924])).
% 0.16/5.97 fof(f1927,definition,(
% 0.16/5.97 sQ148_spl <=> (empty_carrier(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1928,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~sQ148_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1927])).
% 0.16/5.97 fof(f1930,definition,(
% 0.16/5.97 sQ149_spl <=> (join_associative(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1932,plain,(
% 0.16/5.97 ~join_associative(sK9_skl)|sQ149_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1930])).
% 0.16/5.97 fof(f1933,definition,(
% 0.16/5.97 sQ150_spl <=> (meet_commutative(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1936,definition,(
% 0.16/5.97 sQ151_spl <=> (meet_associative(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1939,definition,(
% 0.16/5.97 sQ152_spl <=> (meet_absorbing(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1942,definition,(
% 0.16/5.97 sQ153_spl <=> (join_absorbing(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1945,definition,(
% 0.16/5.97 sQ154_spl <=> (lattice(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1950,definition,(
% 0.16/5.97 sQ155_spl <=> (join_commutative(sK9_skl))),
% 0.16/5.97 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 0.16/5.97 fof(f1952,plain,(
% 0.16/5.97 ~join_commutative(sK9_skl)|sQ155_spl),
% 0.16/5.97 inference(component_clause,[status(thm)],[f1950])).
% 0.16/5.97 fof(f1954,plain,(
% 0.16/5.97 $false|~sQ148_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1928,f443])).
% 0.16/5.97 fof(f1955,plain,(
% 0.16/5.97 ~sQ148_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1954])).
% 0.16/5.97 fof(f1956,plain,(
% 0.16/5.97 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|~join_commutative(sK9_skl)|~join_associative(sK9_skl)|~meet_associative(sK9_skl)|~meet_absorbing(sK9_skl)|~join_absorbing(sK9_skl)|lattice(sK9_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f447,f162])).
% 0.16/5.97 fof(f1957,plain,(
% 0.16/5.97 ~sQ146_spl|sQ148_spl|~sQ155_spl|~sQ149_spl|~sQ151_spl|~sQ152_spl|~sQ153_spl|sQ154_spl),
% 0.16/5.97 inference(split_clause,[status(thm)],[f1956,f1917,f1927,f1950,f1930,f1936,f1939,f1942,f1945])).
% 0.16/5.97 fof(f1958,plain,(
% 0.16/5.97 $false|sQ149_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1932,f446])).
% 0.16/5.97 fof(f1959,plain,(
% 0.16/5.97 sQ149_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1958])).
% 0.16/5.97 fof(f1960,plain,(
% 0.16/5.97 $false|sQ155_spl),
% 0.16/5.97 inference(forward_subsumption_resolution,[status(thm)],[f1952,f445])).
% 0.16/5.97 fof(f1961,plain,(
% 0.16/5.97 sQ155_spl),
% 0.16/5.97 inference(contradiction_clause,[status(thm)],[f1960])).
% 0.16/5.97 fof(f1968,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|relation(relation_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f242])).
% 0.16/5.97 fof(f1969,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|transitive(k2_lattice3(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f227])).
% 0.16/5.97 fof(f1970,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|antisymmetric(k2_lattice3(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f226])).
% 0.16/5.97 fof(f1971,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|reflexive(k2_lattice3(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f225])).
% 0.16/5.97 fof(f1972,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|poset_of_lattice(sK9_skl)=rel_str_of(the_carrier(sK9_skl),k2_lattice3(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f206])).
% 0.16/5.97 fof(f1973,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|with_infima_relstr(poset_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f319])).
% 0.16/5.97 fof(f1974,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|with_suprema_relstr(poset_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f318])).
% 0.16/5.97 fof(f1975,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|rel_str(poset_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f235])).
% 0.16/5.97 fof(f1976,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|antisymmetric_relstr(poset_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f234])).
% 0.16/5.97 fof(f1977,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|transitive_relstr(poset_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f233])).
% 0.16/5.97 fof(f1978,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|reflexive_relstr(poset_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f232])).
% 0.16/5.97 fof(f1979,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|strict_rel_str(poset_of_lattice(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f231])).
% 0.16/5.97 fof(f1980,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|relation_of2_as_subset(k2_lattice3(sK9_skl),the_carrier(sK9_skl),the_carrier(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f229])).
% 0.16/5.97 fof(f1981,plain,(
% 0.16/5.97 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|v1_partfun1(k2_lattice3(sK9_skl),the_carrier(sK9_skl),the_carrier(sK9_skl))),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f228])).
% 0.16/5.97 fof(f1983,plain,(
% 0.16/5.97 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|join_absorbing(sK9_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f150])).
% 0.16/5.97 fof(f1984,plain,(
% 0.16/5.97 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|meet_absorbing(sK9_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f149])).
% 0.16/5.97 fof(f1985,plain,(
% 0.16/5.97 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|meet_associative(sK9_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f148])).
% 0.16/5.97 fof(f1986,plain,(
% 0.16/5.97 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|meet_commutative(sK9_skl)),
% 0.16/5.97 inference(resolution,[status(thm)],[f451,f147])).
% 0.16/5.97 fof(f1992,definition,(
% 0.16/5.97 sQ156_spl <=> (relation(relation_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f1995,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ156_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1968,f1927,f1917,f1992])).
% 0.16/5.98 fof(f1996,definition,(
% 0.16/5.98 sQ157_spl <=> (transitive(k2_lattice3(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f1999,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ157_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1969,f1927,f1917,f1996])).
% 0.16/5.98 fof(f2000,definition,(
% 0.16/5.98 sQ158_spl <=> (antisymmetric(k2_lattice3(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2003,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ158_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1970,f1927,f1917,f2000])).
% 0.16/5.98 fof(f2004,definition,(
% 0.16/5.98 sQ159_spl <=> (reflexive(k2_lattice3(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2007,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ159_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1971,f1927,f1917,f2004])).
% 0.16/5.98 fof(f2008,definition,(
% 0.16/5.98 sQ160_spl <=> (poset_of_lattice(sK9_skl)=rel_str_of(the_carrier(sK9_skl),k2_lattice3(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2011,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ160_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1972,f1927,f1917,f2008])).
% 0.16/5.98 fof(f2012,definition,(
% 0.16/5.98 sQ161_spl <=> (with_infima_relstr(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2015,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ161_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1973,f1927,f1917,f2012])).
% 0.16/5.98 fof(f2016,definition,(
% 0.16/5.98 sQ162_spl <=> (with_suprema_relstr(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2019,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ162_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1974,f1927,f1917,f2016])).
% 0.16/5.98 fof(f2020,definition,(
% 0.16/5.98 sQ163_spl <=> (rel_str(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2023,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ163_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1975,f1927,f1917,f2020])).
% 0.16/5.98 fof(f2024,definition,(
% 0.16/5.98 sQ164_spl <=> (antisymmetric_relstr(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2027,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ164_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1976,f1927,f1917,f2024])).
% 0.16/5.98 fof(f2028,definition,(
% 0.16/5.98 sQ165_spl <=> (transitive_relstr(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2031,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ165_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1977,f1927,f1917,f2028])).
% 0.16/5.98 fof(f2032,definition,(
% 0.16/5.98 sQ166_spl <=> (reflexive_relstr(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2035,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ166_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1978,f1927,f1917,f2032])).
% 0.16/5.98 fof(f2036,definition,(
% 0.16/5.98 sQ167_spl <=> (strict_rel_str(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2039,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ167_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1979,f1927,f1917,f2036])).
% 0.16/5.98 fof(f2040,definition,(
% 0.16/5.98 sQ168_spl <=> (relation_of2_as_subset(k2_lattice3(sK9_skl),the_carrier(sK9_skl),the_carrier(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2043,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ168_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1980,f1927,f1917,f2040])).
% 0.16/5.98 fof(f2044,definition,(
% 0.16/5.98 sQ169_spl <=> (v1_partfun1(k2_lattice3(sK9_skl),the_carrier(sK9_skl),the_carrier(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2047,plain,(
% 0.16/5.98 sQ148_spl|~sQ146_spl|sQ169_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1981,f1927,f1917,f2044])).
% 0.16/5.98 fof(f2055,plain,(
% 0.16/5.98 ~sQ146_spl|sQ148_spl|sQ153_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1983,f1917,f1927,f1942])).
% 0.16/5.98 fof(f2056,plain,(
% 0.16/5.98 ~sQ146_spl|sQ148_spl|sQ152_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1984,f1917,f1927,f1939])).
% 0.16/5.98 fof(f2057,plain,(
% 0.16/5.98 ~sQ146_spl|sQ148_spl|sQ151_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1985,f1917,f1927,f1936])).
% 0.16/5.98 fof(f2058,plain,(
% 0.16/5.98 ~sQ146_spl|sQ148_spl|sQ150_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f1986,f1917,f1927,f1933])).
% 0.16/5.98 fof(f2064,definition,(
% 0.16/5.98 sQ173_spl <=> (bounded_lattstr(sK9_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2068,definition,(
% 0.16/5.98 sQ174_spl <=> (upper_bounded_semilattstr(sK9_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2072,definition,(
% 0.16/5.98 sQ175_spl <=> (lower_bounded_semilattstr(sK9_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2076,plain,(
% 0.16/5.98 empty_carrier(sK9_skl)|~lattice(sK9_skl)|~latt_str(sK9_skl)|lower_bounded_relstr(poset_of_lattice(sK9_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f452,f378])).
% 0.16/5.98 fof(f2077,plain,(
% 0.16/5.98 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|~upper_bounded_semilattstr(sK9_skl)|bounded_lattstr(sK9_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f452,f171])).
% 0.16/5.98 fof(f2078,definition,(
% 0.16/5.98 sQ176_spl <=> (lower_bounded_relstr(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2081,plain,(
% 0.16/5.98 sQ148_spl|~sQ154_spl|~sQ146_spl|sQ176_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2076,f1927,f1945,f1917,f2078])).
% 0.16/5.98 fof(f2082,plain,(
% 0.16/5.98 ~sQ146_spl|sQ148_spl|~sQ174_spl|sQ173_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2077,f1917,f1927,f2068,f2064])).
% 0.16/5.98 fof(f2083,plain,(
% 0.16/5.98 empty_carrier(sK9_skl)|~lattice(sK9_skl)|~latt_str(sK9_skl)|upper_bounded_relstr(poset_of_lattice(sK9_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f453,f343])).
% 0.16/5.98 fof(f2085,definition,(
% 0.16/5.98 sQ177_spl <=> (upper_bounded_relstr(poset_of_lattice(sK9_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2088,plain,(
% 0.16/5.98 sQ148_spl|~sQ154_spl|~sQ146_spl|sQ177_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2083,f1927,f1945,f1917,f2085])).
% 0.16/5.98 fof(f2091,plain,(
% 0.16/5.98 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|upper_bounded_semilattstr(sK9_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f454,f178])).
% 0.16/5.98 fof(f2092,plain,(
% 0.16/5.98 ~latt_str(sK9_skl)|empty_carrier(sK9_skl)|lower_bounded_semilattstr(sK9_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f454,f177])).
% 0.16/5.98 fof(f2100,plain,(
% 0.16/5.98 ~sQ146_spl|sQ148_spl|sQ174_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2091,f1917,f1927,f2068])).
% 0.16/5.98 fof(f2101,plain,(
% 0.16/5.98 ~sQ146_spl|sQ148_spl|sQ175_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2092,f1917,f1927,f2072])).
% 0.16/5.98 fof(f2134,plain,(
% 0.16/5.98 ![X0,X1]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|cast_to_el_of_LattPOSet(boole_lattice(X0),X1)=X1)),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f1684,f289])).
% 0.16/5.98 fof(f2135,plain,(
% 0.16/5.98 ~latt_str(boole_lattice(sK28_skl))|cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl)=sK29_skl),
% 0.16/5.98 inference(resolution,[status(thm)],[f2134,f611])).
% 0.16/5.98 fof(f2136,plain,(
% 0.16/5.98 ~latt_str(boole_lattice(sK28_skl))|cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl)=sK30_skl),
% 0.16/5.98 inference(resolution,[status(thm)],[f2134,f612])).
% 0.16/5.98 fof(f2137,plain,(
% 0.16/5.98 ![X0]: (~latt_str(boole_lattice(X0))|cast_to_el_of_LattPOSet(boole_lattice(X0),sK6_skl(the_carrier(boole_POSet(X0))))=sK6_skl(the_carrier(boole_POSet(X0))))),
% 0.16/5.98 inference(resolution,[status(thm)],[f2134,f277])).
% 0.16/5.98 fof(f2138,definition,(
% 0.16/5.98 sQ186_spl <=> (latt_str(boole_lattice(sK28_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2140,plain,(
% 0.16/5.98 ~latt_str(boole_lattice(sK28_skl))|sQ186_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2138])).
% 0.16/5.98 fof(f2141,definition,(
% 0.16/5.98 sQ187_spl <=> (cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl)=sK29_skl)),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2142,plain,(
% 0.16/5.98 cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl)=sK29_skl|~sQ187_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2141])).
% 0.16/5.98 fof(f2144,plain,(
% 0.16/5.98 ~sQ186_spl|sQ187_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2135,f2138,f2141])).
% 0.16/5.98 fof(f2145,definition,(
% 0.16/5.98 sQ188_spl <=> (cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl)=sK30_skl)),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2146,plain,(
% 0.16/5.98 cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl)=sK30_skl|~sQ188_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2145])).
% 0.16/5.98 fof(f2148,plain,(
% 0.16/5.98 ~sQ186_spl|sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2136,f2138,f2145])).
% 0.16/5.98 fof(f2149,plain,(
% 0.16/5.98 ![X0]: (cast_to_el_of_LattPOSet(boole_lattice(X0),sK6_skl(the_carrier(boole_POSet(X0))))=sK6_skl(the_carrier(boole_POSet(X0))))),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2137,f223])).
% 0.16/5.98 fof(f2150,plain,(
% 0.16/5.98 $false|sQ186_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2140,f223])).
% 0.16/5.98 fof(f2151,plain,(
% 0.16/5.98 sQ186_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2150])).
% 0.16/5.98 fof(f2163,plain,(
% 0.16/5.98 ![X0,X1]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|element(cast_to_el_of_LattPOSet(boole_lattice(X0),X1),the_carrier(boole_POSet(X0))))),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f1687,f289])).
% 0.16/5.98 fof(f2164,plain,(
% 0.16/5.98 ~latt_str(boole_lattice(sK28_skl))|element(cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),the_carrier(boole_POSet(sK28_skl)))),
% 0.16/5.98 inference(resolution,[status(thm)],[f2163,f611])).
% 0.16/5.98 fof(f2165,plain,(
% 0.16/5.98 ~latt_str(boole_lattice(sK28_skl))|element(cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),the_carrier(boole_POSet(sK28_skl)))),
% 0.16/5.98 inference(resolution,[status(thm)],[f2163,f612])).
% 0.16/5.98 fof(f2167,definition,(
% 0.16/5.98 sQ191_spl <=> (element(cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),the_carrier(boole_POSet(sK28_skl))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2170,plain,(
% 0.16/5.98 ~sQ186_spl|sQ191_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2164,f2138,f2167])).
% 0.16/5.98 fof(f2171,definition,(
% 0.16/5.98 sQ192_spl <=> (element(cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),the_carrier(boole_POSet(sK28_skl))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2174,plain,(
% 0.16/5.98 ~sQ186_spl|sQ192_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2165,f2138,f2171])).
% 0.16/5.98 fof(f2192,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|sK10_skl=latt_str_of(the_carrier(sK10_skl),the_L_join(sK10_skl),the_L_meet(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f458,f126])).
% 0.16/5.98 fof(f2193,definition,(
% 0.16/5.98 sQ193_spl <=> (latt_str(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2195,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|sQ193_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2193])).
% 0.16/5.98 fof(f2196,definition,(
% 0.16/5.98 sQ194_spl <=> (sK10_skl=latt_str_of(the_carrier(sK10_skl),the_L_join(sK10_skl),the_L_meet(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2199,plain,(
% 0.16/5.98 ~sQ193_spl|sQ194_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2192,f2193,f2196])).
% 0.16/5.98 fof(f2200,plain,(
% 0.16/5.98 $false|sQ193_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2195,f456])).
% 0.16/5.98 fof(f2201,plain,(
% 0.16/5.98 sQ193_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2200])).
% 0.16/5.98 fof(f2203,definition,(
% 0.16/5.98 sQ195_spl <=> (empty_carrier(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2204,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~sQ195_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2203])).
% 0.16/5.98 fof(f2206,definition,(
% 0.16/5.98 sQ196_spl <=> (join_associative(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2208,plain,(
% 0.16/5.98 ~join_associative(sK10_skl)|sQ196_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2206])).
% 0.16/5.98 fof(f2209,definition,(
% 0.16/5.98 sQ197_spl <=> (meet_commutative(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2212,definition,(
% 0.16/5.98 sQ198_spl <=> (meet_associative(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2215,definition,(
% 0.16/5.98 sQ199_spl <=> (meet_absorbing(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2218,definition,(
% 0.16/5.98 sQ200_spl <=> (join_absorbing(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2221,definition,(
% 0.16/5.98 sQ201_spl <=> (lattice(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2226,definition,(
% 0.16/5.98 sQ202_spl <=> (join_commutative(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2228,plain,(
% 0.16/5.98 ~join_commutative(sK10_skl)|sQ202_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2226])).
% 0.16/5.98 fof(f2230,plain,(
% 0.16/5.98 $false|~sQ195_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2204,f457])).
% 0.16/5.98 fof(f2231,plain,(
% 0.16/5.98 ~sQ195_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2230])).
% 0.16/5.98 fof(f2232,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|~join_commutative(sK10_skl)|~join_associative(sK10_skl)|~meet_associative(sK10_skl)|~meet_absorbing(sK10_skl)|~join_absorbing(sK10_skl)|lattice(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f461,f162])).
% 0.16/5.98 fof(f2233,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|~sQ202_spl|~sQ196_spl|~sQ198_spl|~sQ199_spl|~sQ200_spl|sQ201_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2232,f2193,f2203,f2226,f2206,f2212,f2215,f2218,f2221])).
% 0.16/5.98 fof(f2234,plain,(
% 0.16/5.98 $false|sQ196_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2208,f460])).
% 0.16/5.98 fof(f2235,plain,(
% 0.16/5.98 sQ196_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2234])).
% 0.16/5.98 fof(f2236,plain,(
% 0.16/5.98 $false|sQ202_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2228,f459])).
% 0.16/5.98 fof(f2237,plain,(
% 0.16/5.98 sQ202_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2236])).
% 0.16/5.98 fof(f2244,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|relation(relation_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f242])).
% 0.16/5.98 fof(f2245,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|transitive(k2_lattice3(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f227])).
% 0.16/5.98 fof(f2246,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|antisymmetric(k2_lattice3(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f226])).
% 0.16/5.98 fof(f2247,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|reflexive(k2_lattice3(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f225])).
% 0.16/5.98 fof(f2248,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|poset_of_lattice(sK10_skl)=rel_str_of(the_carrier(sK10_skl),k2_lattice3(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f206])).
% 0.16/5.98 fof(f2249,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|with_infima_relstr(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f319])).
% 0.16/5.98 fof(f2250,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|with_suprema_relstr(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f318])).
% 0.16/5.98 fof(f2251,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|rel_str(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f235])).
% 0.16/5.98 fof(f2252,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|antisymmetric_relstr(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f234])).
% 0.16/5.98 fof(f2253,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|transitive_relstr(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f233])).
% 0.16/5.98 fof(f2254,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|reflexive_relstr(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f232])).
% 0.16/5.98 fof(f2255,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|strict_rel_str(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f231])).
% 0.16/5.98 fof(f2256,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|relation_of2_as_subset(k2_lattice3(sK10_skl),the_carrier(sK10_skl),the_carrier(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f229])).
% 0.16/5.98 fof(f2257,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|v1_partfun1(k2_lattice3(sK10_skl),the_carrier(sK10_skl),the_carrier(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f228])).
% 0.16/5.98 fof(f2258,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|~distributive_lattstr(sK10_skl)|modular_lattstr(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f203])).
% 0.16/5.98 fof(f2259,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|join_absorbing(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f150])).
% 0.16/5.98 fof(f2260,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|meet_absorbing(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f149])).
% 0.16/5.98 fof(f2261,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|meet_associative(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f148])).
% 0.16/5.98 fof(f2262,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|meet_commutative(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f465,f147])).
% 0.16/5.98 fof(f2268,definition,(
% 0.16/5.98 sQ203_spl <=> (relation(relation_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2271,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ203_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2244,f2203,f2193,f2268])).
% 0.16/5.98 fof(f2272,definition,(
% 0.16/5.98 sQ204_spl <=> (transitive(k2_lattice3(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2275,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ204_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2245,f2203,f2193,f2272])).
% 0.16/5.98 fof(f2276,definition,(
% 0.16/5.98 sQ205_spl <=> (antisymmetric(k2_lattice3(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2279,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ205_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2246,f2203,f2193,f2276])).
% 0.16/5.98 fof(f2280,definition,(
% 0.16/5.98 sQ206_spl <=> (reflexive(k2_lattice3(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2283,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ206_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2247,f2203,f2193,f2280])).
% 0.16/5.98 fof(f2284,definition,(
% 0.16/5.98 sQ207_spl <=> (poset_of_lattice(sK10_skl)=rel_str_of(the_carrier(sK10_skl),k2_lattice3(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2287,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ207_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2248,f2203,f2193,f2284])).
% 0.16/5.98 fof(f2288,definition,(
% 0.16/5.98 sQ208_spl <=> (with_infima_relstr(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2291,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ208_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2249,f2203,f2193,f2288])).
% 0.16/5.98 fof(f2292,definition,(
% 0.16/5.98 sQ209_spl <=> (with_suprema_relstr(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2295,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ209_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2250,f2203,f2193,f2292])).
% 0.16/5.98 fof(f2296,definition,(
% 0.16/5.98 sQ210_spl <=> (rel_str(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2299,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ210_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2251,f2203,f2193,f2296])).
% 0.16/5.98 fof(f2300,definition,(
% 0.16/5.98 sQ211_spl <=> (antisymmetric_relstr(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2303,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ211_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2252,f2203,f2193,f2300])).
% 0.16/5.98 fof(f2304,definition,(
% 0.16/5.98 sQ212_spl <=> (transitive_relstr(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2307,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ212_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2253,f2203,f2193,f2304])).
% 0.16/5.98 fof(f2308,definition,(
% 0.16/5.98 sQ213_spl <=> (reflexive_relstr(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2311,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ213_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2254,f2203,f2193,f2308])).
% 0.16/5.98 fof(f2312,definition,(
% 0.16/5.98 sQ214_spl <=> (strict_rel_str(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2315,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ214_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2255,f2203,f2193,f2312])).
% 0.16/5.98 fof(f2316,definition,(
% 0.16/5.98 sQ215_spl <=> (relation_of2_as_subset(k2_lattice3(sK10_skl),the_carrier(sK10_skl),the_carrier(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2319,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ215_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2256,f2203,f2193,f2316])).
% 0.16/5.98 fof(f2320,definition,(
% 0.16/5.98 sQ216_spl <=> (v1_partfun1(k2_lattice3(sK10_skl),the_carrier(sK10_skl),the_carrier(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2323,plain,(
% 0.16/5.98 sQ195_spl|~sQ193_spl|sQ216_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2257,f2203,f2193,f2320])).
% 0.16/5.98 fof(f2324,definition,(
% 0.16/5.98 sQ217_spl <=> (distributive_lattstr(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2327,definition,(
% 0.16/5.98 sQ218_spl <=> (modular_lattstr(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2330,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|~sQ217_spl|sQ218_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2258,f2193,f2203,f2324,f2327])).
% 0.16/5.98 fof(f2331,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|sQ200_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2259,f2193,f2203,f2218])).
% 0.16/5.98 fof(f2332,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|sQ199_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2260,f2193,f2203,f2215])).
% 0.16/5.98 fof(f2333,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|sQ198_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2261,f2193,f2203,f2212])).
% 0.16/5.98 fof(f2334,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|sQ197_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2262,f2193,f2203,f2209])).
% 0.16/5.98 fof(f2340,definition,(
% 0.16/5.98 sQ220_spl <=> (bounded_lattstr(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2344,definition,(
% 0.16/5.98 sQ221_spl <=> (upper_bounded_semilattstr(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2348,definition,(
% 0.16/5.98 sQ222_spl <=> (lower_bounded_semilattstr(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2352,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~lattice(sK10_skl)|~latt_str(sK10_skl)|lower_bounded_relstr(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f466,f378])).
% 0.16/5.98 fof(f2353,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|~upper_bounded_semilattstr(sK10_skl)|bounded_lattstr(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f466,f171])).
% 0.16/5.98 fof(f2354,definition,(
% 0.16/5.98 sQ223_spl <=> (lower_bounded_relstr(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2357,plain,(
% 0.16/5.98 sQ195_spl|~sQ201_spl|~sQ193_spl|sQ223_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2352,f2203,f2221,f2193,f2354])).
% 0.16/5.98 fof(f2358,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|~sQ221_spl|sQ220_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2353,f2193,f2203,f2344,f2340])).
% 0.16/5.98 fof(f2359,plain,(
% 0.16/5.98 empty_carrier(sK10_skl)|~lattice(sK10_skl)|~latt_str(sK10_skl)|upper_bounded_relstr(poset_of_lattice(sK10_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f467,f343])).
% 0.16/5.98 fof(f2361,definition,(
% 0.16/5.98 sQ224_spl <=> (upper_bounded_relstr(poset_of_lattice(sK10_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2364,plain,(
% 0.16/5.98 sQ195_spl|~sQ201_spl|~sQ193_spl|sQ224_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2359,f2203,f2221,f2193,f2361])).
% 0.16/5.98 fof(f2367,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|upper_bounded_semilattstr(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f468,f178])).
% 0.16/5.98 fof(f2368,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|lower_bounded_semilattstr(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f468,f177])).
% 0.16/5.98 fof(f2372,definition,(
% 0.16/5.98 sQ226_spl <=> (boolean_lattstr(sK10_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2376,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|sQ221_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2367,f2193,f2203,f2344])).
% 0.16/5.98 fof(f2377,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|sQ222_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2368,f2193,f2203,f2348])).
% 0.16/5.98 fof(f2378,plain,(
% 0.16/5.98 ~latt_str(sK10_skl)|empty_carrier(sK10_skl)|~distributive_lattstr(sK10_skl)|~bounded_lattstr(sK10_skl)|boolean_lattstr(sK10_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f469,f193])).
% 0.16/5.98 fof(f2379,plain,(
% 0.16/5.98 ~sQ193_spl|sQ195_spl|~sQ217_spl|~sQ220_spl|sQ226_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2378,f2193,f2203,f2324,f2340,f2372])).
% 0.16/5.98 fof(f2382,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|sK11_skl=latt_str_of(the_carrier(sK11_skl),the_L_join(sK11_skl),the_L_meet(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f473,f126])).
% 0.16/5.98 fof(f2383,definition,(
% 0.16/5.98 sQ227_spl <=> (latt_str(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2385,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|sQ227_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2383])).
% 0.16/5.98 fof(f2386,definition,(
% 0.16/5.98 sQ228_spl <=> (sK11_skl=latt_str_of(the_carrier(sK11_skl),the_L_join(sK11_skl),the_L_meet(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2389,plain,(
% 0.16/5.98 ~sQ227_spl|sQ228_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2382,f2383,f2386])).
% 0.16/5.98 fof(f2390,plain,(
% 0.16/5.98 $false|sQ227_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2385,f471])).
% 0.16/5.98 fof(f2391,plain,(
% 0.16/5.98 sQ227_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2390])).
% 0.16/5.98 fof(f2392,plain,(
% 0.16/5.98 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|~related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK29_skl)|~sQ187_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2142,f1678])).
% 0.16/5.98 fof(f2393,plain,(
% 0.16/5.98 ![X0]: (~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,X0)|~related_reflexive(boole_POSet(sK28_skl),sK29_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))|~sQ187_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2142,f1678])).
% 0.16/5.98 fof(f2394,plain,(
% 0.16/5.98 ![X0]: (empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(X0,the_carrier(boole_lattice(sK28_skl)))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK29_skl)|~sQ187_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2142,f633])).
% 0.16/5.98 fof(f2395,plain,(
% 0.16/5.98 ![X0]: (empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|~element(X0,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),sK29_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))|~sQ187_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2142,f633])).
% 0.16/5.98 fof(f2396,definition,(
% 0.16/5.98 ![X0]: (sQ229_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|~related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK29_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2397,plain,(
% 0.16/5.98 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|~related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK29_skl)|~sQ229_spl)),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2396])).
% 0.16/5.98 fof(f2399,plain,(
% 0.16/5.98 sQ229_spl|~sQ74_spl|~sQ187_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2392,f2396,f1083,f2141])).
% 0.16/5.98 fof(f2400,definition,(
% 0.16/5.98 ![X0]: (sQ230_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,X0)|~related_reflexive(boole_POSet(sK28_skl),sK29_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2401,plain,(
% 0.16/5.98 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,X0)|~related_reflexive(boole_POSet(sK28_skl),sK29_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))|~sQ230_spl)),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2400])).
% 0.16/5.98 fof(f2403,plain,(
% 0.16/5.98 ~sQ74_spl|sQ230_spl|~sQ187_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2393,f1083,f2400,f2141])).
% 0.16/5.98 fof(f2404,definition,(
% 0.16/5.98 sQ231_spl <=> (empty_carrier(boole_lattice(sK28_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2405,plain,(
% 0.16/5.98 empty_carrier(boole_lattice(sK28_skl))|~sQ231_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2404])).
% 0.16/5.98 fof(f2407,definition,(
% 0.16/5.98 sQ232_spl <=> (lattice(boole_lattice(sK28_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2409,plain,(
% 0.16/5.98 ~lattice(boole_lattice(sK28_skl))|sQ232_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2407])).
% 0.16/5.98 fof(f2410,definition,(
% 0.16/5.98 ![X0]: (sQ233_spl <=> (~element(X0,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK29_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2413,definition,(
% 0.16/5.98 sQ234_spl <=> (element(sK29_skl,the_carrier(boole_lattice(sK28_skl))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2415,plain,(
% 0.16/5.98 ~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|sQ234_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2413])).
% 0.16/5.98 fof(f2416,plain,(
% 0.16/5.98 sQ231_spl|~sQ232_spl|~sQ186_spl|sQ233_spl|~sQ234_spl|~sQ187_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2394,f2404,f2407,f2138,f2410,f2413,f2141])).
% 0.16/5.98 fof(f2417,definition,(
% 0.16/5.98 ![X0]: (sQ235_spl <=> (~element(X0,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),sK29_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2420,plain,(
% 0.16/5.98 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ234_spl|sQ235_spl|~sQ187_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2395,f2404,f2407,f2138,f2413,f2417,f2141])).
% 0.16/5.98 fof(f2421,plain,(
% 0.16/5.98 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|sQ234_spl),
% 0.16/5.98 inference(forward_demodulation,[status(thm)],[f1663,f2415])).
% 0.16/5.98 fof(f2422,plain,(
% 0.16/5.98 $false|sQ234_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2421,f611])).
% 0.16/5.98 fof(f2423,plain,(
% 0.16/5.98 sQ234_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2422])).
% 0.16/5.98 fof(f2424,plain,(
% 0.16/5.98 $false|sQ232_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2409,f289])).
% 0.16/5.98 fof(f2425,plain,(
% 0.16/5.98 sQ232_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2424])).
% 0.16/5.98 fof(f2426,plain,(
% 0.16/5.98 $false|~sQ231_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2405,f281])).
% 0.16/5.98 fof(f2427,plain,(
% 0.16/5.98 ~sQ231_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2426])).
% 0.16/5.98 fof(f2433,plain,(
% 0.16/5.98 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK30_skl)|~sQ188_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2146,f1678])).
% 0.16/5.98 fof(f2434,plain,(
% 0.16/5.98 ![X0]: (~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK30_skl,X0)|~related_reflexive(boole_POSet(sK28_skl),sK30_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))|~sQ188_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2146,f1678])).
% 0.16/5.98 fof(f2435,plain,(
% 0.16/5.98 ![X0]: (empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(X0,the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK30_skl)|~sQ188_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2146,f633])).
% 0.16/5.98 fof(f2436,plain,(
% 0.16/5.98 ![X0]: (empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|~element(X0,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK30_skl,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),sK30_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))|~sQ188_spl)),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2146,f633])).
% 0.16/5.98 fof(f2437,definition,(
% 0.16/5.98 ![X0]: (sQ236_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK30_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2438,plain,(
% 0.16/5.98 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK30_skl)|~sQ236_spl)),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2437])).
% 0.16/5.98 fof(f2440,plain,(
% 0.16/5.98 sQ236_spl|~sQ72_spl|~sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2433,f2437,f1076,f2145])).
% 0.16/5.98 fof(f2441,definition,(
% 0.16/5.98 ![X0]: (sQ237_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK30_skl,X0)|~related_reflexive(boole_POSet(sK28_skl),sK30_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2444,plain,(
% 0.16/5.98 ~sQ72_spl|sQ237_spl|~sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2434,f1076,f2441,f2145])).
% 0.16/5.98 fof(f2445,definition,(
% 0.16/5.98 ![X0]: (sQ238_spl <=> (~element(X0,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0),sK30_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2448,definition,(
% 0.16/5.98 sQ239_spl <=> (element(sK30_skl,the_carrier(boole_lattice(sK28_skl))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2450,plain,(
% 0.16/5.98 ~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|sQ239_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2448])).
% 0.16/5.98 fof(f2451,plain,(
% 0.16/5.98 sQ231_spl|~sQ232_spl|~sQ186_spl|sQ238_spl|~sQ239_spl|~sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2435,f2404,f2407,f2138,f2445,f2448,f2145])).
% 0.16/5.98 fof(f2452,definition,(
% 0.16/5.98 ![X0]: (sQ240_spl <=> (~element(X0,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK30_skl,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),sK30_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),X0))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2455,plain,(
% 0.16/5.98 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ239_spl|sQ240_spl|~sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2436,f2404,f2407,f2138,f2448,f2452,f2145])).
% 0.16/5.98 fof(f2456,plain,(
% 0.16/5.98 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|sQ239_spl),
% 0.16/5.98 inference(forward_demodulation,[status(thm)],[f1663,f2450])).
% 0.16/5.98 fof(f2457,plain,(
% 0.16/5.98 $false|sQ239_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2456,f612])).
% 0.16/5.98 fof(f2458,plain,(
% 0.16/5.98 sQ239_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2457])).
% 0.16/5.98 fof(f2466,plain,(
% 0.16/5.98 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK30_skl,sK29_skl)|~related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK29_skl)|~sQ229_spl|~sQ188_spl),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2146,f2397])).
% 0.16/5.98 fof(f2467,plain,(
% 0.16/5.98 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,sK29_skl)|~related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK29_skl)|~sQ229_spl|~sQ187_spl),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2142,f2397])).
% 0.16/5.98 fof(f2468,definition,(
% 0.16/5.98 sQ241_spl <=> (below_refl(boole_lattice(sK28_skl),sK30_skl,sK29_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2469,plain,(
% 0.16/5.98 below_refl(boole_lattice(sK28_skl),sK30_skl,sK29_skl)|~sQ241_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2468])).
% 0.16/5.98 fof(f2471,definition,(
% 0.16/5.98 sQ242_spl <=> (related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK29_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2473,plain,(
% 0.16/5.98 ~related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK29_skl)|sQ242_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2471])).
% 0.16/5.98 fof(f2474,plain,(
% 0.16/5.98 ~sQ72_spl|sQ241_spl|~sQ242_spl|~sQ229_spl|~sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2466,f1076,f2468,f2471,f2396,f2145])).
% 0.16/5.98 fof(f2475,definition,(
% 0.16/5.98 sQ243_spl <=> (below_refl(boole_lattice(sK28_skl),sK29_skl,sK29_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2476,plain,(
% 0.16/5.98 below_refl(boole_lattice(sK28_skl),sK29_skl,sK29_skl)|~sQ243_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2475])).
% 0.16/5.98 fof(f2478,plain,(
% 0.16/5.98 ~sQ74_spl|sQ243_spl|~sQ21_spl|~sQ229_spl|~sQ187_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2467,f1083,f2475,f793,f2396,f2141])).
% 0.16/5.98 fof(f2482,plain,(
% 0.16/5.98 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ229_spl),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2149,f2397])).
% 0.16/5.98 fof(f2487,definition,(
% 0.16/5.98 sQ244_spl <=> (element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl))))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2489,plain,(
% 0.16/5.98 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|sQ244_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2487])).
% 0.16/5.98 fof(f2490,definition,(
% 0.16/5.98 sQ245_spl <=> (below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2491,plain,(
% 0.16/5.98 below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ245_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2490])).
% 0.16/5.98 fof(f2493,definition,(
% 0.16/5.98 sQ246_spl <=> (related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2495,plain,(
% 0.16/5.98 ~related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|sQ246_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2493])).
% 0.16/5.98 fof(f2496,plain,(
% 0.16/5.98 ~sQ244_spl|sQ245_spl|~sQ246_spl|~sQ229_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2482,f2487,f2490,f2493,f2396])).
% 0.16/5.98 fof(f2509,definition,(
% 0.16/5.98 sQ247_spl <=> (empty_carrier(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2510,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~sQ247_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2509])).
% 0.16/5.98 fof(f2512,definition,(
% 0.16/5.98 sQ248_spl <=> (join_associative(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2515,definition,(
% 0.16/5.98 sQ249_spl <=> (meet_commutative(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2518,definition,(
% 0.16/5.98 sQ250_spl <=> (meet_associative(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2521,definition,(
% 0.16/5.98 sQ251_spl <=> (meet_absorbing(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2524,definition,(
% 0.16/5.98 sQ252_spl <=> (join_absorbing(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2527,definition,(
% 0.16/5.98 sQ253_spl <=> (lattice(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2531,plain,(
% 0.16/5.98 $false|~sQ247_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2510,f472])).
% 0.16/5.98 fof(f2532,plain,(
% 0.16/5.98 ~sQ247_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2531])).
% 0.16/5.98 fof(f2533,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|~join_commutative(sK11_skl)|~meet_commutative(sK11_skl)|~meet_associative(sK11_skl)|~meet_absorbing(sK11_skl)|~join_absorbing(sK11_skl)|lattice(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f475,f162])).
% 0.16/5.98 fof(f2534,definition,(
% 0.16/5.98 sQ254_spl <=> (join_commutative(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2536,plain,(
% 0.16/5.98 ~join_commutative(sK11_skl)|sQ254_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2534])).
% 0.16/5.98 fof(f2537,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|~sQ254_spl|~sQ249_spl|~sQ250_spl|~sQ251_spl|~sQ252_spl|sQ253_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2533,f2383,f2509,f2534,f2515,f2518,f2521,f2524,f2527])).
% 0.16/5.98 fof(f2538,plain,(
% 0.16/5.98 $false|sQ254_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2536,f474])).
% 0.16/5.98 fof(f2539,plain,(
% 0.16/5.98 sQ254_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2538])).
% 0.16/5.98 fof(f2548,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|relation(relation_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f242])).
% 0.16/5.98 fof(f2549,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|transitive(k2_lattice3(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f227])).
% 0.16/5.98 fof(f2550,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|antisymmetric(k2_lattice3(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f226])).
% 0.16/5.98 fof(f2551,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|reflexive(k2_lattice3(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f225])).
% 0.16/5.98 fof(f2552,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|poset_of_lattice(sK11_skl)=rel_str_of(the_carrier(sK11_skl),k2_lattice3(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f206])).
% 0.16/5.98 fof(f2553,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|with_infima_relstr(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f319])).
% 0.16/5.98 fof(f2554,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|with_suprema_relstr(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f318])).
% 0.16/5.98 fof(f2555,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|rel_str(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f235])).
% 0.16/5.98 fof(f2556,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|antisymmetric_relstr(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f234])).
% 0.16/5.98 fof(f2557,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|transitive_relstr(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f233])).
% 0.16/5.98 fof(f2558,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|reflexive_relstr(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f232])).
% 0.16/5.98 fof(f2559,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|strict_rel_str(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f231])).
% 0.16/5.98 fof(f2560,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|relation_of2_as_subset(k2_lattice3(sK11_skl),the_carrier(sK11_skl),the_carrier(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f229])).
% 0.16/5.98 fof(f2561,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|v1_partfun1(k2_lattice3(sK11_skl),the_carrier(sK11_skl),the_carrier(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f228])).
% 0.16/5.98 fof(f2563,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|join_absorbing(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f150])).
% 0.16/5.98 fof(f2564,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|meet_absorbing(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f149])).
% 0.16/5.98 fof(f2565,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|meet_associative(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f148])).
% 0.16/5.98 fof(f2566,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|meet_commutative(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f147])).
% 0.16/5.98 fof(f2567,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|join_associative(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f480,f146])).
% 0.16/5.98 fof(f2572,definition,(
% 0.16/5.98 sQ255_spl <=> (relation(relation_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2575,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ255_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2548,f2509,f2383,f2572])).
% 0.16/5.98 fof(f2576,definition,(
% 0.16/5.98 sQ256_spl <=> (transitive(k2_lattice3(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2579,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ256_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2549,f2509,f2383,f2576])).
% 0.16/5.98 fof(f2580,definition,(
% 0.16/5.98 sQ257_spl <=> (antisymmetric(k2_lattice3(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2583,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ257_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2550,f2509,f2383,f2580])).
% 0.16/5.98 fof(f2584,definition,(
% 0.16/5.98 sQ258_spl <=> (reflexive(k2_lattice3(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2587,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ258_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2551,f2509,f2383,f2584])).
% 0.16/5.98 fof(f2588,definition,(
% 0.16/5.98 sQ259_spl <=> (poset_of_lattice(sK11_skl)=rel_str_of(the_carrier(sK11_skl),k2_lattice3(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2591,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ259_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2552,f2509,f2383,f2588])).
% 0.16/5.98 fof(f2592,definition,(
% 0.16/5.98 sQ260_spl <=> (with_infima_relstr(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2595,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ260_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2553,f2509,f2383,f2592])).
% 0.16/5.98 fof(f2596,definition,(
% 0.16/5.98 sQ261_spl <=> (with_suprema_relstr(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2599,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ261_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2554,f2509,f2383,f2596])).
% 0.16/5.98 fof(f2600,definition,(
% 0.16/5.98 sQ262_spl <=> (rel_str(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2603,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ262_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2555,f2509,f2383,f2600])).
% 0.16/5.98 fof(f2604,definition,(
% 0.16/5.98 sQ263_spl <=> (antisymmetric_relstr(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2607,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ263_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2556,f2509,f2383,f2604])).
% 0.16/5.98 fof(f2608,definition,(
% 0.16/5.98 sQ264_spl <=> (transitive_relstr(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2611,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ264_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2557,f2509,f2383,f2608])).
% 0.16/5.98 fof(f2612,definition,(
% 0.16/5.98 sQ265_spl <=> (reflexive_relstr(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2615,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ265_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2558,f2509,f2383,f2612])).
% 0.16/5.98 fof(f2616,definition,(
% 0.16/5.98 sQ266_spl <=> (strict_rel_str(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2619,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ266_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2559,f2509,f2383,f2616])).
% 0.16/5.98 fof(f2620,definition,(
% 0.16/5.98 sQ267_spl <=> (relation_of2_as_subset(k2_lattice3(sK11_skl),the_carrier(sK11_skl),the_carrier(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2623,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ267_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2560,f2509,f2383,f2620])).
% 0.16/5.98 fof(f2624,definition,(
% 0.16/5.98 sQ268_spl <=> (v1_partfun1(k2_lattice3(sK11_skl),the_carrier(sK11_skl),the_carrier(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2627,plain,(
% 0.16/5.98 sQ247_spl|~sQ227_spl|sQ268_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2561,f2509,f2383,f2624])).
% 0.16/5.98 fof(f2628,definition,(
% 0.16/5.98 sQ269_spl <=> (distributive_lattstr(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2631,definition,(
% 0.16/5.98 sQ270_spl <=> (modular_lattstr(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2635,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ252_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2563,f2383,f2509,f2524])).
% 0.16/5.98 fof(f2636,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ251_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2564,f2383,f2509,f2521])).
% 0.16/5.98 fof(f2637,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ250_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2565,f2383,f2509,f2518])).
% 0.16/5.98 fof(f2638,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ249_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2566,f2383,f2509,f2515])).
% 0.16/5.98 fof(f2639,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ248_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2567,f2383,f2509,f2512])).
% 0.16/5.98 fof(f2644,definition,(
% 0.16/5.98 sQ272_spl <=> (bounded_lattstr(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2648,definition,(
% 0.16/5.98 sQ273_spl <=> (upper_bounded_semilattstr(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2652,definition,(
% 0.16/5.98 sQ274_spl <=> (lower_bounded_semilattstr(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2656,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|~bounded_lattstr(sK11_skl)|~complemented_lattstr(sK11_skl)|boolean_lattstr(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f481,f193])).
% 0.16/5.98 fof(f2657,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|~lattice(sK11_skl)|modular_lattstr(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f481,f203])).
% 0.16/5.98 fof(f2658,definition,(
% 0.16/5.98 sQ275_spl <=> (complemented_lattstr(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2661,definition,(
% 0.16/5.98 sQ276_spl <=> (boolean_lattstr(sK11_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2664,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|~sQ272_spl|~sQ275_spl|sQ276_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2656,f2383,f2509,f2644,f2658,f2661])).
% 0.16/5.98 fof(f2665,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|~sQ253_spl|sQ270_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2657,f2383,f2509,f2527,f2631])).
% 0.16/5.98 fof(f2666,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~lattice(sK11_skl)|~latt_str(sK11_skl)|lower_bounded_relstr(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f482,f378])).
% 0.16/5.98 fof(f2668,definition,(
% 0.16/5.98 sQ277_spl <=> (lower_bounded_relstr(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2671,plain,(
% 0.16/5.98 sQ247_spl|~sQ253_spl|~sQ227_spl|sQ277_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2666,f2509,f2527,f2383,f2668])).
% 0.16/5.98 fof(f2673,plain,(
% 0.16/5.98 empty_carrier(sK11_skl)|~lattice(sK11_skl)|~latt_str(sK11_skl)|upper_bounded_relstr(poset_of_lattice(sK11_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f483,f343])).
% 0.16/5.98 fof(f2675,definition,(
% 0.16/5.98 sQ278_spl <=> (upper_bounded_relstr(poset_of_lattice(sK11_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2678,plain,(
% 0.16/5.98 sQ247_spl|~sQ253_spl|~sQ227_spl|sQ278_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2673,f2509,f2527,f2383,f2675])).
% 0.16/5.98 fof(f2681,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|upper_bounded_semilattstr(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f484,f178])).
% 0.16/5.98 fof(f2682,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|lower_bounded_semilattstr(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f484,f177])).
% 0.16/5.98 fof(f2684,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ273_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2681,f2383,f2509,f2648])).
% 0.16/5.98 fof(f2685,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ274_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2682,f2383,f2509,f2652])).
% 0.16/5.98 fof(f2688,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|complemented_lattstr(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f486,f188])).
% 0.16/5.98 fof(f2689,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|bounded_lattstr(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f486,f187])).
% 0.16/5.98 fof(f2692,plain,(
% 0.16/5.98 ~latt_str(sK11_skl)|empty_carrier(sK11_skl)|distributive_lattstr(sK11_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f486,f184])).
% 0.16/5.98 fof(f2693,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ275_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2688,f2383,f2509,f2658])).
% 0.16/5.98 fof(f2694,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ272_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2689,f2383,f2509,f2644])).
% 0.16/5.98 fof(f2697,plain,(
% 0.16/5.98 ~sQ227_spl|sQ247_spl|sQ269_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2692,f2383,f2509,f2628])).
% 0.16/5.98 fof(f2698,plain,(
% 0.16/5.98 ~rel_str(sK12_skl)|sK12_skl=rel_str_of(the_carrier(sK12_skl),the_InternalRel(sK12_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f490,f124])).
% 0.16/5.98 fof(f2699,definition,(
% 0.16/5.98 sQ279_spl <=> (sK12_skl=rel_str_of(the_carrier(sK12_skl),the_InternalRel(sK12_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2702,plain,(
% 0.16/5.98 ~sQ25_spl|sQ279_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2698,f850,f2699])).
% 0.16/5.98 fof(f2703,plain,(
% 0.16/5.98 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~sQ230_spl|~sQ188_spl),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2146,f2401])).
% 0.16/5.98 fof(f2706,definition,(
% 0.16/5.98 sQ280_spl <=> (below_refl(boole_lattice(sK28_skl),sK29_skl,sK30_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2707,plain,(
% 0.16/5.98 below_refl(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~sQ280_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2706])).
% 0.16/5.98 fof(f2709,plain,(
% 0.16/5.98 ~sQ72_spl|sQ280_spl|~sQ0_spl|~sQ230_spl|~sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2703,f1076,f2706,f637,f2400,f2145])).
% 0.16/5.98 fof(f2718,plain,(
% 0.16/5.98 $false|sQ244_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2489,f277])).
% 0.16/5.98 fof(f2719,plain,(
% 0.16/5.98 sQ244_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2718])).
% 0.16/5.98 fof(f2720,plain,(
% 0.16/5.98 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK30_skl,sK30_skl)|~related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK30_skl)|~sQ236_spl|~sQ188_spl),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2146,f2438])).
% 0.16/5.98 fof(f2721,plain,(
% 0.16/5.98 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~sQ236_spl|~sQ187_spl),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2142,f2438])).
% 0.16/5.98 fof(f2722,plain,(
% 0.16/5.98 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ236_spl),
% 0.16/5.98 inference(paramodulation,[status(thm)],[f2149,f2438])).
% 0.16/5.98 fof(f2723,definition,(
% 0.16/5.98 sQ283_spl <=> (below_refl(boole_lattice(sK28_skl),sK30_skl,sK30_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2724,plain,(
% 0.16/5.98 below_refl(boole_lattice(sK28_skl),sK30_skl,sK30_skl)|~sQ283_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2723])).
% 0.16/5.98 fof(f2726,plain,(
% 0.16/5.98 ~sQ72_spl|sQ283_spl|~sQ20_spl|~sQ236_spl|~sQ188_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2720,f1076,f2723,f789,f2437,f2145])).
% 0.16/5.98 fof(f2727,plain,(
% 0.16/5.98 ~sQ74_spl|sQ280_spl|~sQ0_spl|~sQ236_spl|~sQ187_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2721,f1083,f2706,f637,f2437,f2141])).
% 0.16/5.98 fof(f2728,definition,(
% 0.16/5.98 sQ284_spl <=> (below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2729,plain,(
% 0.16/5.98 below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ284_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2728])).
% 0.16/5.98 fof(f2731,definition,(
% 0.16/5.98 sQ285_spl <=> (related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2733,plain,(
% 0.16/5.98 ~related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|sQ285_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2731])).
% 0.16/5.98 fof(f2734,plain,(
% 0.16/5.98 ~sQ244_spl|sQ284_spl|~sQ285_spl|~sQ236_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2722,f2487,f2728,f2731,f2437])).
% 0.16/5.98 fof(f2747,plain,(
% 0.16/5.98 empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ243_spl),
% 0.16/5.98 inference(resolution,[status(thm)],[f2476,f632])).
% 0.16/5.98 fof(f2748,definition,(
% 0.16/5.98 sQ288_spl <=> (related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2751,plain,(
% 0.16/5.98 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ234_spl|sQ288_spl|~sQ243_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2747,f2404,f2407,f2138,f2413,f2748,f2475])).
% 0.16/5.98 fof(f2755,plain,(
% 0.16/5.98 empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ241_spl),
% 0.16/5.98 inference(resolution,[status(thm)],[f2469,f632])).
% 0.16/5.98 fof(f2756,definition,(
% 0.16/5.98 sQ289_spl <=> (related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2757,plain,(
% 0.16/5.98 related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ289_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2756])).
% 0.16/5.98 fof(f2759,plain,(
% 0.16/5.98 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ239_spl|~sQ234_spl|sQ289_spl|~sQ241_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2755,f2404,f2407,f2138,f2448,f2413,f2756,f2468])).
% 0.16/5.98 fof(f2760,plain,(
% 0.16/5.98 related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ289_spl),
% 0.16/5.98 inference(forward_demodulation,[status(thm)],[f207,f2757])).
% 0.16/5.98 fof(f2761,plain,(
% 0.16/5.98 related_reflexive(boole_POSet(sK28_skl),sK30_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ188_spl|~sQ289_spl),
% 0.16/5.98 inference(forward_demodulation,[status(thm)],[f2146,f2760])).
% 0.16/5.98 fof(f2762,plain,(
% 0.16/5.98 related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK29_skl)|~sQ187_spl|~sQ188_spl|~sQ289_spl),
% 0.16/5.98 inference(forward_demodulation,[status(thm)],[f2142,f2761])).
% 0.16/5.98 fof(f2763,plain,(
% 0.16/5.98 $false|sQ242_spl|~sQ187_spl|~sQ188_spl|~sQ289_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2762,f2473])).
% 0.16/5.98 fof(f2764,plain,(
% 0.16/5.98 sQ242_spl|~sQ187_spl|~sQ188_spl|~sQ289_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2763])).
% 0.16/5.98 fof(f2765,plain,(
% 0.16/5.98 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK30_skl,sK29_skl)|~sQ187_spl|~sQ188_spl|~sQ289_spl|~sQ60_spl),
% 0.16/5.98 inference(resolution,[status(thm)],[f2762,f1036])).
% 0.16/5.98 fof(f2767,definition,(
% 0.16/5.98 sQ290_spl <=> (related(boole_POSet(sK28_skl),sK30_skl,sK29_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2768,plain,(
% 0.16/5.98 related(boole_POSet(sK28_skl),sK30_skl,sK29_skl)|~sQ290_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2767])).
% 0.16/5.98 fof(f2770,plain,(
% 0.16/5.98 ~sQ72_spl|sQ290_spl|~sQ187_spl|~sQ188_spl|~sQ289_spl|~sQ60_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2765,f1076,f2767,f2141,f2145,f2756,f1035])).
% 0.16/5.98 fof(f2784,plain,(
% 0.16/5.98 ~reflexive_relstr(sK12_skl)|~transitive_relstr(sK12_skl)|~rel_str(sK12_skl)|v1_partfun1(the_InternalRel(sK12_skl),the_carrier(sK12_skl),the_carrier(sK12_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f493,f335])).
% 0.16/5.98 fof(f2785,plain,(
% 0.16/5.98 ~reflexive_relstr(sK12_skl)|~transitive_relstr(sK12_skl)|~rel_str(sK12_skl)|transitive(the_InternalRel(sK12_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f493,f334])).
% 0.16/5.98 fof(f2786,plain,(
% 0.16/5.98 ~reflexive_relstr(sK12_skl)|~transitive_relstr(sK12_skl)|~rel_str(sK12_skl)|antisymmetric(the_InternalRel(sK12_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f493,f333])).
% 0.16/5.98 fof(f2787,plain,(
% 0.16/5.98 ~reflexive_relstr(sK12_skl)|~transitive_relstr(sK12_skl)|~rel_str(sK12_skl)|reflexive(the_InternalRel(sK12_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f493,f332])).
% 0.16/5.98 fof(f2788,plain,(
% 0.16/5.98 ~reflexive_relstr(sK12_skl)|~transitive_relstr(sK12_skl)|~rel_str(sK12_skl)|relation(the_InternalRel(sK12_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f493,f331])).
% 0.16/5.98 fof(f2789,definition,(
% 0.16/5.98 sQ291_spl <=> (v1_partfun1(the_InternalRel(sK12_skl),the_carrier(sK12_skl),the_carrier(sK12_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2792,plain,(
% 0.16/5.98 ~sQ67_spl|~sQ30_spl|~sQ25_spl|sQ291_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2784,f1059,f868,f850,f2789])).
% 0.16/5.98 fof(f2793,definition,(
% 0.16/5.98 sQ292_spl <=> (transitive(the_InternalRel(sK12_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2796,plain,(
% 0.16/5.98 ~sQ67_spl|~sQ30_spl|~sQ25_spl|sQ292_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2785,f1059,f868,f850,f2793])).
% 0.16/5.98 fof(f2797,definition,(
% 0.16/5.98 sQ293_spl <=> (antisymmetric(the_InternalRel(sK12_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2800,plain,(
% 0.16/5.98 ~sQ67_spl|~sQ30_spl|~sQ25_spl|sQ293_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2786,f1059,f868,f850,f2797])).
% 0.16/5.98 fof(f2801,definition,(
% 0.16/5.98 sQ294_spl <=> (reflexive(the_InternalRel(sK12_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2804,plain,(
% 0.16/5.98 ~sQ67_spl|~sQ30_spl|~sQ25_spl|sQ294_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2787,f1059,f868,f850,f2801])).
% 0.16/5.98 fof(f2805,definition,(
% 0.16/5.98 sQ295_spl <=> (relation(the_InternalRel(sK12_skl)))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2808,plain,(
% 0.16/5.98 ~sQ67_spl|~sQ30_spl|~sQ25_spl|sQ295_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2788,f1059,f868,f850,f2805])).
% 0.16/5.98 fof(f2809,plain,(
% 0.16/5.98 $false|sQ30_spl),
% 0.16/5.98 inference(forward_subsumption_resolution,[status(thm)],[f870,f492])).
% 0.16/5.98 fof(f2810,plain,(
% 0.16/5.98 sQ30_spl),
% 0.16/5.98 inference(contradiction_clause,[status(thm)],[f2809])).
% 0.16/5.98 fof(f2811,plain,(
% 0.16/5.98 ~rel_str(sK12_skl)|empty_carrier(sK12_skl)|bounded_relstr(sK12_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f494,f174])).
% 0.16/5.98 fof(f2812,plain,(
% 0.16/5.98 ~rel_str(sK12_skl)|empty_carrier(sK12_skl)|with_infima_relstr(sK12_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f494,f157])).
% 0.16/5.98 fof(f2813,plain,(
% 0.16/5.98 ~rel_str(sK12_skl)|empty_carrier(sK12_skl)|with_suprema_relstr(sK12_skl)),
% 0.16/5.98 inference(resolution,[status(thm)],[f494,f156])).
% 0.16/5.98 fof(f2814,definition,(
% 0.16/5.98 sQ296_spl <=> (bounded_relstr(sK12_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2817,plain,(
% 0.16/5.98 ~sQ25_spl|sQ24_spl|sQ296_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2811,f850,f847,f2814])).
% 0.16/5.98 fof(f2818,definition,(
% 0.16/5.98 sQ297_spl <=> (with_infima_relstr(sK12_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2821,plain,(
% 0.16/5.98 ~sQ25_spl|sQ24_spl|sQ297_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2812,f850,f847,f2818])).
% 0.16/5.98 fof(f2822,definition,(
% 0.16/5.98 sQ298_spl <=> (with_suprema_relstr(sK12_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2825,plain,(
% 0.16/5.98 ~sQ25_spl|sQ24_spl|sQ298_spl),
% 0.16/5.98 inference(split_clause,[status(thm)],[f2813,f850,f847,f2822])).
% 0.16/5.98 fof(f2826,plain,(
% 0.16/5.98 ~rel_str(sK13_skl)|sK13_skl=rel_str_of(the_carrier(sK13_skl),the_InternalRel(sK13_skl))),
% 0.16/5.98 inference(resolution,[status(thm)],[f497,f124])).
% 0.16/5.98 fof(f2827,definition,(
% 0.16/5.98 sQ299_spl <=> (rel_str(sK13_skl))),
% 0.16/5.98 introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition])).
% 0.16/5.98 fof(f2829,plain,(
% 0.16/5.98 ~rel_str(sK13_skl)|sQ299_spl),
% 0.16/5.98 inference(component_clause,[status(thm)],[f2827])).
% 0.16/5.99 fof(f2830,definition,(
% 0.16/5.99 sQ300_spl <=> (sK13_skl=rel_str_of(the_carrier(sK13_skl),the_InternalRel(sK13_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2833,plain,(
% 0.16/5.99 ~sQ299_spl|sQ300_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2826,f2827,f2830])).
% 0.16/5.99 fof(f2834,plain,(
% 0.16/5.99 $false|sQ299_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f2829,f496])).
% 0.16/5.99 fof(f2835,plain,(
% 0.16/5.99 sQ299_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f2834])).
% 0.16/5.99 fof(f2847,plain,(
% 0.16/5.99 ~rel_str(sK16_skl)|sK16_skl=rel_str_of(the_carrier(sK16_skl),the_InternalRel(sK16_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f507,f124])).
% 0.16/5.99 fof(f2848,definition,(
% 0.16/5.99 sQ301_spl <=> (sK16_skl=rel_str_of(the_carrier(sK16_skl),the_InternalRel(sK16_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2851,plain,(
% 0.16/5.99 ~sQ32_spl|sQ301_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2847,f892,f2848])).
% 0.16/5.99 fof(f2852,plain,(
% 0.16/5.99 ~reflexive_relstr(sK16_skl)|~transitive_relstr(sK16_skl)|~rel_str(sK16_skl)|v1_partfun1(the_InternalRel(sK16_skl),the_carrier(sK16_skl),the_carrier(sK16_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f510,f335])).
% 0.16/5.99 fof(f2853,plain,(
% 0.16/5.99 ~reflexive_relstr(sK16_skl)|~transitive_relstr(sK16_skl)|~rel_str(sK16_skl)|transitive(the_InternalRel(sK16_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f510,f334])).
% 0.16/5.99 fof(f2854,plain,(
% 0.16/5.99 ~reflexive_relstr(sK16_skl)|~transitive_relstr(sK16_skl)|~rel_str(sK16_skl)|antisymmetric(the_InternalRel(sK16_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f510,f333])).
% 0.16/5.99 fof(f2855,plain,(
% 0.16/5.99 ~reflexive_relstr(sK16_skl)|~transitive_relstr(sK16_skl)|~rel_str(sK16_skl)|reflexive(the_InternalRel(sK16_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f510,f332])).
% 0.16/5.99 fof(f2856,plain,(
% 0.16/5.99 ~reflexive_relstr(sK16_skl)|~transitive_relstr(sK16_skl)|~rel_str(sK16_skl)|relation(the_InternalRel(sK16_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f510,f331])).
% 0.16/5.99 fof(f2857,definition,(
% 0.16/5.99 sQ302_spl <=> (v1_partfun1(the_InternalRel(sK16_skl),the_carrier(sK16_skl),the_carrier(sK16_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2860,plain,(
% 0.16/5.99 ~sQ64_spl|~sQ37_spl|~sQ32_spl|sQ302_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2852,f1049,f910,f892,f2857])).
% 0.16/5.99 fof(f2861,definition,(
% 0.16/5.99 sQ303_spl <=> (transitive(the_InternalRel(sK16_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2864,plain,(
% 0.16/5.99 ~sQ64_spl|~sQ37_spl|~sQ32_spl|sQ303_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2853,f1049,f910,f892,f2861])).
% 0.16/5.99 fof(f2865,definition,(
% 0.16/5.99 sQ304_spl <=> (antisymmetric(the_InternalRel(sK16_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2868,plain,(
% 0.16/5.99 ~sQ64_spl|~sQ37_spl|~sQ32_spl|sQ304_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2854,f1049,f910,f892,f2865])).
% 0.16/5.99 fof(f2869,definition,(
% 0.16/5.99 sQ305_spl <=> (reflexive(the_InternalRel(sK16_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2872,plain,(
% 0.16/5.99 ~sQ64_spl|~sQ37_spl|~sQ32_spl|sQ305_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2855,f1049,f910,f892,f2869])).
% 0.16/5.99 fof(f2873,definition,(
% 0.16/5.99 sQ306_spl <=> (relation(the_InternalRel(sK16_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2876,plain,(
% 0.16/5.99 ~sQ64_spl|~sQ37_spl|~sQ32_spl|sQ306_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2856,f1049,f910,f892,f2873])).
% 0.16/5.99 fof(f2877,plain,(
% 0.16/5.99 $false|sQ37_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f912,f509])).
% 0.16/5.99 fof(f2878,plain,(
% 0.16/5.99 sQ37_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f2877])).
% 0.16/5.99 fof(f2883,plain,(
% 0.16/5.99 ~rel_str(sK16_skl)|empty_carrier(sK16_skl)|bounded_relstr(sK16_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f513,f174])).
% 0.16/5.99 fof(f2884,plain,(
% 0.16/5.99 ~rel_str(sK16_skl)|empty_carrier(sK16_skl)|with_infima_relstr(sK16_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f513,f157])).
% 0.16/5.99 fof(f2885,plain,(
% 0.16/5.99 ~rel_str(sK16_skl)|empty_carrier(sK16_skl)|with_suprema_relstr(sK16_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f513,f156])).
% 0.16/5.99 fof(f2886,definition,(
% 0.16/5.99 sQ307_spl <=> (bounded_relstr(sK16_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2889,plain,(
% 0.16/5.99 ~sQ32_spl|sQ31_spl|sQ307_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2883,f892,f889,f2886])).
% 0.16/5.99 fof(f2890,definition,(
% 0.16/5.99 sQ308_spl <=> (with_infima_relstr(sK16_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2893,plain,(
% 0.16/5.99 ~sQ32_spl|sQ31_spl|sQ308_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2884,f892,f889,f2890])).
% 0.16/5.99 fof(f2894,definition,(
% 0.16/5.99 sQ309_spl <=> (with_suprema_relstr(sK16_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2897,plain,(
% 0.16/5.99 ~sQ32_spl|sQ31_spl|sQ309_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2885,f892,f889,f2894])).
% 0.16/5.99 fof(f2904,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ280_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2707,f632])).
% 0.16/5.99 fof(f2905,definition,(
% 0.16/5.99 sQ310_spl <=> (related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2906,plain,(
% 0.16/5.99 related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ310_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f2905])).
% 0.16/5.99 fof(f2908,plain,(
% 0.16/5.99 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ234_spl|~sQ239_spl|sQ310_spl|~sQ280_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2904,f2404,f2407,f2138,f2413,f2448,f2905,f2706])).
% 0.16/5.99 fof(f2909,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ310_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f207,f2906])).
% 0.16/5.99 fof(f2910,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),sK29_skl,cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ187_spl|~sQ310_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f2142,f2909])).
% 0.16/5.99 fof(f2911,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~sQ188_spl|~sQ187_spl|~sQ310_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f2146,f2910])).
% 0.16/5.99 fof(f2912,plain,(
% 0.16/5.99 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK29_skl,sK30_skl)|~sQ188_spl|~sQ187_spl|~sQ310_spl|~sQ59_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2911,f1032])).
% 0.16/5.99 fof(f2914,plain,(
% 0.16/5.99 ~sQ74_spl|sQ76_spl|~sQ188_spl|~sQ187_spl|~sQ310_spl|~sQ59_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2912,f1083,f1090,f2145,f2141,f2905,f1031])).
% 0.16/5.99 fof(f2931,definition,(
% 0.16/5.99 sQ313_spl <=> (empty(powerset(sK30_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2932,plain,(
% 0.16/5.99 empty(powerset(sK30_skl))|~sQ313_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f2931])).
% 0.16/5.99 fof(f2938,plain,(
% 0.16/5.99 $false|~sQ313_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f2932,f306])).
% 0.16/5.99 fof(f2939,plain,(
% 0.16/5.99 ~sQ313_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f2938])).
% 0.16/5.99 fof(f2941,definition,(
% 0.16/5.99 sQ315_spl <=> (element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_lattice(sK28_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2943,plain,(
% 0.16/5.99 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_lattice(sK28_skl)))|sQ315_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f2941])).
% 0.16/5.99 fof(f2951,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_lattice(sK28_skl)))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ245_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2491,f632])).
% 0.16/5.99 fof(f2952,definition,(
% 0.16/5.99 sQ317_spl <=> (related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2953,plain,(
% 0.16/5.99 related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ317_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f2952])).
% 0.16/5.99 fof(f2955,plain,(
% 0.16/5.99 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ315_spl|~sQ234_spl|sQ317_spl|~sQ245_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2951,f2404,f2407,f2138,f2941,f2413,f2952,f2490])).
% 0.16/5.99 fof(f2956,plain,(
% 0.16/5.99 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|sQ315_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f2943])).
% 0.16/5.99 fof(f2957,plain,(
% 0.16/5.99 $false|sQ315_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f2956,f277])).
% 0.16/5.99 fof(f2958,plain,(
% 0.16/5.99 sQ315_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f2957])).
% 0.16/5.99 fof(f2959,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ317_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f207,f2953])).
% 0.16/5.99 fof(f2960,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK29_skl))|~sQ317_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f2149,f2959])).
% 0.16/5.99 fof(f2961,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ187_spl|~sQ317_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f2142,f2960])).
% 0.16/5.99 fof(f2963,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ283_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2724,f632])).
% 0.16/5.99 fof(f2964,definition,(
% 0.16/5.99 sQ318_spl <=> (related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2967,plain,(
% 0.16/5.99 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ239_spl|sQ318_spl|~sQ283_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2963,f2404,f2407,f2138,f2448,f2964,f2723])).
% 0.16/5.99 fof(f2971,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~lattice(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ284_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2729,f632])).
% 0.16/5.99 fof(f2972,definition,(
% 0.16/5.99 sQ319_spl <=> (related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2973,plain,(
% 0.16/5.99 related_reflexive(poset_of_lattice(boole_lattice(sK28_skl)),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ319_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f2972])).
% 0.16/5.99 fof(f2975,plain,(
% 0.16/5.99 sQ231_spl|~sQ232_spl|~sQ186_spl|~sQ315_spl|~sQ239_spl|sQ319_spl|~sQ284_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2971,f2404,f2407,f2138,f2941,f2448,f2972,f2728])).
% 0.16/5.99 fof(f2976,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl)))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ319_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f207,f2973])).
% 0.16/5.99 fof(f2977,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),cast_to_el_of_LattPOSet(boole_lattice(sK28_skl),sK30_skl))|~sQ319_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f2149,f2976])).
% 0.16/5.99 fof(f2978,plain,(
% 0.16/5.99 related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ188_spl|~sQ319_spl),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f2146,f2977])).
% 0.16/5.99 fof(f2987,plain,(
% 0.16/5.99 ~rel_str(sK17_skl)|sK17_skl=rel_str_of(the_carrier(sK17_skl),the_InternalRel(sK17_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f518,f124])).
% 0.16/5.99 fof(f2988,definition,(
% 0.16/5.99 sQ321_spl <=> (sK17_skl=rel_str_of(the_carrier(sK17_skl),the_InternalRel(sK17_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f2991,plain,(
% 0.16/5.99 ~sQ39_spl|sQ321_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2987,f926,f2988])).
% 0.16/5.99 fof(f2992,plain,(
% 0.16/5.99 ~reflexive_relstr(sK17_skl)|~transitive_relstr(sK17_skl)|~rel_str(sK17_skl)|v1_partfun1(the_InternalRel(sK17_skl),the_carrier(sK17_skl),the_carrier(sK17_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f521,f335])).
% 0.16/5.99 fof(f2993,plain,(
% 0.16/5.99 ~reflexive_relstr(sK17_skl)|~transitive_relstr(sK17_skl)|~rel_str(sK17_skl)|transitive(the_InternalRel(sK17_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f521,f334])).
% 0.16/5.99 fof(f2994,plain,(
% 0.16/5.99 ~reflexive_relstr(sK17_skl)|~transitive_relstr(sK17_skl)|~rel_str(sK17_skl)|antisymmetric(the_InternalRel(sK17_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f521,f333])).
% 0.16/5.99 fof(f2995,plain,(
% 0.16/5.99 ~reflexive_relstr(sK17_skl)|~transitive_relstr(sK17_skl)|~rel_str(sK17_skl)|reflexive(the_InternalRel(sK17_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f521,f332])).
% 0.16/5.99 fof(f2996,plain,(
% 0.16/5.99 ~reflexive_relstr(sK17_skl)|~transitive_relstr(sK17_skl)|~rel_str(sK17_skl)|relation(the_InternalRel(sK17_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f521,f331])).
% 0.16/5.99 fof(f2997,definition,(
% 0.16/5.99 sQ322_spl <=> (v1_partfun1(the_InternalRel(sK17_skl),the_carrier(sK17_skl),the_carrier(sK17_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3000,plain,(
% 0.16/5.99 ~sQ61_spl|~sQ44_spl|~sQ39_spl|sQ322_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2992,f1039,f944,f926,f2997])).
% 0.16/5.99 fof(f3001,definition,(
% 0.16/5.99 sQ323_spl <=> (transitive(the_InternalRel(sK17_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3004,plain,(
% 0.16/5.99 ~sQ61_spl|~sQ44_spl|~sQ39_spl|sQ323_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2993,f1039,f944,f926,f3001])).
% 0.16/5.99 fof(f3005,definition,(
% 0.16/5.99 sQ324_spl <=> (antisymmetric(the_InternalRel(sK17_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3008,plain,(
% 0.16/5.99 ~sQ61_spl|~sQ44_spl|~sQ39_spl|sQ324_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2994,f1039,f944,f926,f3005])).
% 0.16/5.99 fof(f3009,definition,(
% 0.16/5.99 sQ325_spl <=> (reflexive(the_InternalRel(sK17_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3012,plain,(
% 0.16/5.99 ~sQ61_spl|~sQ44_spl|~sQ39_spl|sQ325_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2995,f1039,f944,f926,f3009])).
% 0.16/5.99 fof(f3013,definition,(
% 0.16/5.99 sQ326_spl <=> (relation(the_InternalRel(sK17_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3016,plain,(
% 0.16/5.99 ~sQ61_spl|~sQ44_spl|~sQ39_spl|sQ326_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f2996,f1039,f944,f926,f3013])).
% 0.16/5.99 fof(f3017,plain,(
% 0.16/5.99 $false|sQ44_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f946,f520])).
% 0.16/5.99 fof(f3018,plain,(
% 0.16/5.99 sQ44_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3017])).
% 0.16/5.99 fof(f3023,plain,(
% 0.16/5.99 ~rel_str(sK17_skl)|empty_carrier(sK17_skl)|bounded_relstr(sK17_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f524,f174])).
% 0.16/5.99 fof(f3024,plain,(
% 0.16/5.99 ~rel_str(sK17_skl)|empty_carrier(sK17_skl)|with_infima_relstr(sK17_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f524,f157])).
% 0.16/5.99 fof(f3025,plain,(
% 0.16/5.99 ~rel_str(sK17_skl)|empty_carrier(sK17_skl)|with_suprema_relstr(sK17_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f524,f156])).
% 0.16/5.99 fof(f3026,definition,(
% 0.16/5.99 sQ327_spl <=> (bounded_relstr(sK17_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3029,plain,(
% 0.16/5.99 ~sQ39_spl|sQ38_spl|sQ327_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3023,f926,f923,f3026])).
% 0.16/5.99 fof(f3030,definition,(
% 0.16/5.99 sQ328_spl <=> (with_infima_relstr(sK17_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3033,plain,(
% 0.16/5.99 ~sQ39_spl|sQ38_spl|sQ328_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3024,f926,f923,f3030])).
% 0.16/5.99 fof(f3034,definition,(
% 0.16/5.99 sQ329_spl <=> (with_suprema_relstr(sK17_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3037,plain,(
% 0.16/5.99 ~sQ39_spl|sQ38_spl|sQ329_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3025,f926,f923,f3034])).
% 0.16/5.99 fof(f3038,plain,(
% 0.16/5.99 ~rel_str(sK18_skl)|sK18_skl=rel_str_of(the_carrier(sK18_skl),the_InternalRel(sK18_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f528,f124])).
% 0.16/5.99 fof(f3039,definition,(
% 0.16/5.99 sQ330_spl <=> (sK18_skl=rel_str_of(the_carrier(sK18_skl),the_InternalRel(sK18_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3042,plain,(
% 0.16/5.99 ~sQ46_spl|sQ330_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3038,f960,f3039])).
% 0.16/5.99 fof(f3043,plain,(
% 0.16/5.99 ~reflexive_relstr(sK18_skl)|~transitive_relstr(sK18_skl)|~rel_str(sK18_skl)|v1_partfun1(the_InternalRel(sK18_skl),the_carrier(sK18_skl),the_carrier(sK18_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f531,f335])).
% 0.16/5.99 fof(f3044,plain,(
% 0.16/5.99 ~reflexive_relstr(sK18_skl)|~transitive_relstr(sK18_skl)|~rel_str(sK18_skl)|transitive(the_InternalRel(sK18_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f531,f334])).
% 0.16/5.99 fof(f3045,plain,(
% 0.16/5.99 ~reflexive_relstr(sK18_skl)|~transitive_relstr(sK18_skl)|~rel_str(sK18_skl)|antisymmetric(the_InternalRel(sK18_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f531,f333])).
% 0.16/5.99 fof(f3046,plain,(
% 0.16/5.99 ~reflexive_relstr(sK18_skl)|~transitive_relstr(sK18_skl)|~rel_str(sK18_skl)|reflexive(the_InternalRel(sK18_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f531,f332])).
% 0.16/5.99 fof(f3047,plain,(
% 0.16/5.99 ~reflexive_relstr(sK18_skl)|~transitive_relstr(sK18_skl)|~rel_str(sK18_skl)|relation(the_InternalRel(sK18_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f531,f331])).
% 0.16/5.99 fof(f3048,definition,(
% 0.16/5.99 sQ331_spl <=> (v1_partfun1(the_InternalRel(sK18_skl),the_carrier(sK18_skl),the_carrier(sK18_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3051,plain,(
% 0.16/5.99 ~sQ78_spl|~sQ51_spl|~sQ46_spl|sQ331_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3043,f1124,f978,f960,f3048])).
% 0.16/5.99 fof(f3052,definition,(
% 0.16/5.99 sQ332_spl <=> (transitive(the_InternalRel(sK18_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3055,plain,(
% 0.16/5.99 ~sQ78_spl|~sQ51_spl|~sQ46_spl|sQ332_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3044,f1124,f978,f960,f3052])).
% 0.16/5.99 fof(f3056,definition,(
% 0.16/5.99 sQ333_spl <=> (antisymmetric(the_InternalRel(sK18_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3059,plain,(
% 0.16/5.99 ~sQ78_spl|~sQ51_spl|~sQ46_spl|sQ333_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3045,f1124,f978,f960,f3056])).
% 0.16/5.99 fof(f3060,definition,(
% 0.16/5.99 sQ334_spl <=> (reflexive(the_InternalRel(sK18_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3063,plain,(
% 0.16/5.99 ~sQ78_spl|~sQ51_spl|~sQ46_spl|sQ334_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3046,f1124,f978,f960,f3060])).
% 0.16/5.99 fof(f3064,definition,(
% 0.16/5.99 sQ335_spl <=> (relation(the_InternalRel(sK18_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3067,plain,(
% 0.16/5.99 ~sQ78_spl|~sQ51_spl|~sQ46_spl|sQ335_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3047,f1124,f978,f960,f3064])).
% 0.16/5.99 fof(f3068,plain,(
% 0.16/5.99 $false|sQ51_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f980,f530])).
% 0.16/5.99 fof(f3069,plain,(
% 0.16/5.99 sQ51_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3068])).
% 0.16/5.99 fof(f3087,plain,(
% 0.16/5.99 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),sK30_skl,sK29_skl)|~sQ290_spl|~sQ88_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2768,f1188])).
% 0.16/5.99 fof(f3089,plain,(
% 0.16/5.99 ~rel_str(boole_POSet(sK28_skl))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|in(ordered_pair(sK30_skl,sK29_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ290_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2768,f213])).
% 0.16/5.99 fof(f3090,plain,(
% 0.16/5.99 ~sQ72_spl|sQ242_spl|~sQ290_spl|~sQ88_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3087,f1076,f2471,f2767,f1187])).
% 0.16/5.99 fof(f3092,definition,(
% 0.16/5.99 sQ336_spl <=> (in(ordered_pair(sK30_skl,sK29_skl),the_InternalRel(boole_POSet(sK28_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3093,plain,(
% 0.16/5.99 in(ordered_pair(sK30_skl,sK29_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ336_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3092])).
% 0.16/5.99 fof(f3095,plain,(
% 0.16/5.99 ~sQ4_spl|~sQ72_spl|~sQ74_spl|sQ336_spl|~sQ290_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3089,f653,f1076,f1083,f3092,f2767])).
% 0.16/5.99 fof(f3129,plain,(
% 0.16/5.99 ~reflexive_relstr(sK22_skl)|~transitive_relstr(sK22_skl)|~rel_str(sK22_skl)|v1_partfun1(the_InternalRel(sK22_skl),the_carrier(sK22_skl),the_carrier(sK22_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f546,f335])).
% 0.16/5.99 fof(f3130,plain,(
% 0.16/5.99 ~reflexive_relstr(sK22_skl)|~transitive_relstr(sK22_skl)|~rel_str(sK22_skl)|transitive(the_InternalRel(sK22_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f546,f334])).
% 0.16/5.99 fof(f3131,plain,(
% 0.16/5.99 ~reflexive_relstr(sK22_skl)|~transitive_relstr(sK22_skl)|~rel_str(sK22_skl)|antisymmetric(the_InternalRel(sK22_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f546,f333])).
% 0.16/5.99 fof(f3132,plain,(
% 0.16/5.99 ~reflexive_relstr(sK22_skl)|~transitive_relstr(sK22_skl)|~rel_str(sK22_skl)|reflexive(the_InternalRel(sK22_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f546,f332])).
% 0.16/5.99 fof(f3133,plain,(
% 0.16/5.99 ~reflexive_relstr(sK22_skl)|~transitive_relstr(sK22_skl)|~rel_str(sK22_skl)|relation(the_InternalRel(sK22_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f546,f331])).
% 0.16/5.99 fof(f3134,definition,(
% 0.16/5.99 sQ339_spl <=> (v1_partfun1(the_InternalRel(sK22_skl),the_carrier(sK22_skl),the_carrier(sK22_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3137,plain,(
% 0.16/5.99 ~sQ81_spl|~sQ58_spl|~sQ53_spl|sQ339_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3129,f1139,f1012,f994,f3134])).
% 0.16/5.99 fof(f3138,definition,(
% 0.16/5.99 sQ340_spl <=> (transitive(the_InternalRel(sK22_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3141,plain,(
% 0.16/5.99 ~sQ81_spl|~sQ58_spl|~sQ53_spl|sQ340_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3130,f1139,f1012,f994,f3138])).
% 0.16/5.99 fof(f3142,definition,(
% 0.16/5.99 sQ341_spl <=> (antisymmetric(the_InternalRel(sK22_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3145,plain,(
% 0.16/5.99 ~sQ81_spl|~sQ58_spl|~sQ53_spl|sQ341_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3131,f1139,f1012,f994,f3142])).
% 0.16/5.99 fof(f3146,definition,(
% 0.16/5.99 sQ342_spl <=> (reflexive(the_InternalRel(sK22_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3149,plain,(
% 0.16/5.99 ~sQ81_spl|~sQ58_spl|~sQ53_spl|sQ342_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3132,f1139,f1012,f994,f3146])).
% 0.16/5.99 fof(f3150,definition,(
% 0.16/5.99 sQ343_spl <=> (relation(the_InternalRel(sK22_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3153,plain,(
% 0.16/5.99 ~sQ81_spl|~sQ58_spl|~sQ53_spl|sQ343_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3133,f1139,f1012,f994,f3150])).
% 0.16/5.99 fof(f3154,plain,(
% 0.16/5.99 $false|sQ58_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f1014,f545])).
% 0.16/5.99 fof(f3155,plain,(
% 0.16/5.99 sQ58_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3154])).
% 0.16/5.99 fof(f3160,plain,(
% 0.16/5.99 ~rel_str(sK22_skl)|empty_carrier(sK22_skl)|bounded_relstr(sK22_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f549,f174])).
% 0.16/5.99 fof(f3161,plain,(
% 0.16/5.99 ~rel_str(sK22_skl)|empty_carrier(sK22_skl)|with_infima_relstr(sK22_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f549,f157])).
% 0.16/5.99 fof(f3162,plain,(
% 0.16/5.99 ~rel_str(sK22_skl)|empty_carrier(sK22_skl)|with_suprema_relstr(sK22_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f549,f156])).
% 0.16/5.99 fof(f3163,definition,(
% 0.16/5.99 sQ344_spl <=> (bounded_relstr(sK22_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3166,plain,(
% 0.16/5.99 ~sQ53_spl|sQ52_spl|sQ344_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3160,f994,f991,f3163])).
% 0.16/5.99 fof(f3167,definition,(
% 0.16/5.99 sQ345_spl <=> (with_infima_relstr(sK22_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3170,plain,(
% 0.16/5.99 ~sQ53_spl|sQ52_spl|sQ345_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3161,f994,f991,f3167])).
% 0.16/5.99 fof(f3171,definition,(
% 0.16/5.99 sQ346_spl <=> (with_suprema_relstr(sK22_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3174,plain,(
% 0.16/5.99 ~sQ53_spl|sQ52_spl|sQ346_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3162,f994,f991,f3171])).
% 0.16/5.99 fof(f3176,definition,(
% 0.16/5.99 sQ347_spl <=> (upper_bounded_relstr(sK22_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3181,definition,(
% 0.16/5.99 sQ348_spl <=> (lower_bounded_relstr(sK22_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3185,plain,(
% 0.16/5.99 ~rel_str(sK22_skl)|upper_bounded_relstr(sK22_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f552,f181])).
% 0.16/5.99 fof(f3186,plain,(
% 0.16/5.99 ~rel_str(sK22_skl)|lower_bounded_relstr(sK22_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f552,f180])).
% 0.16/5.99 fof(f3187,plain,(
% 0.16/5.99 ~sQ53_spl|sQ347_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3185,f994,f3176])).
% 0.16/5.99 fof(f3188,plain,(
% 0.16/5.99 ~sQ53_spl|sQ348_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3186,f994,f3181])).
% 0.16/5.99 fof(f3191,plain,(
% 0.16/5.99 ~latt_str(sK23_skl)|sK23_skl=latt_str_of(the_carrier(sK23_skl),the_L_join(sK23_skl),the_L_meet(sK23_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f555,f126])).
% 0.16/5.99 fof(f3192,definition,(
% 0.16/5.99 sQ349_spl <=> (latt_str(sK23_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3194,plain,(
% 0.16/5.99 ~latt_str(sK23_skl)|sQ349_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3192])).
% 0.16/5.99 fof(f3195,definition,(
% 0.16/5.99 sQ350_spl <=> (sK23_skl=latt_str_of(the_carrier(sK23_skl),the_L_join(sK23_skl),the_L_meet(sK23_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3198,plain,(
% 0.16/5.99 ~sQ349_spl|sQ350_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3191,f3192,f3195])).
% 0.16/5.99 fof(f3199,plain,(
% 0.16/5.99 $false|sQ349_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3194,f554])).
% 0.16/5.99 fof(f3200,plain,(
% 0.16/5.99 sQ349_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3199])).
% 0.16/5.99 fof(f3201,plain,(
% 0.16/5.99 $false|sQ246_spl|~sQ187_spl|~sQ317_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f2961,f2495])).
% 0.16/5.99 fof(f3202,plain,(
% 0.16/5.99 sQ246_spl|~sQ187_spl|~sQ317_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3201])).
% 0.16/5.99 fof(f3203,plain,(
% 0.16/5.99 $false|sQ285_spl|~sQ188_spl|~sQ319_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f2978,f2733])).
% 0.16/5.99 fof(f3204,plain,(
% 0.16/5.99 sQ285_spl|~sQ188_spl|~sQ319_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3203])).
% 0.16/5.99 fof(f3207,plain,(
% 0.16/5.99 ~rel_str(boole_POSet(sK28_skl))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK30_skl,sK29_skl)|~sQ336_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3093,f214])).
% 0.16/5.99 fof(f3208,plain,(
% 0.16/5.99 element(ordered_pair(sK30_skl,sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ336_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3093,f1495])).
% 0.16/5.99 fof(f3212,plain,(
% 0.16/5.99 ~sQ4_spl|~sQ72_spl|~sQ74_spl|sQ290_spl|~sQ336_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3207,f653,f1076,f1083,f2767,f3092])).
% 0.16/5.99 fof(f3225,plain,(
% 0.16/5.99 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ187_spl|~sQ317_spl|~sQ60_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2961,f1036])).
% 0.16/5.99 fof(f3227,definition,(
% 0.16/5.99 sQ352_spl <=> (related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3228,plain,(
% 0.16/5.99 related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ352_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3227])).
% 0.16/5.99 fof(f3230,plain,(
% 0.16/5.99 ~sQ244_spl|sQ352_spl|~sQ187_spl|~sQ317_spl|~sQ60_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3225,f2487,f3227,f2141,f2952,f1035])).
% 0.16/5.99 fof(f3234,plain,(
% 0.16/5.99 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ188_spl|~sQ319_spl|~sQ59_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f2978,f1032])).
% 0.16/5.99 fof(f3236,definition,(
% 0.16/5.99 sQ353_spl <=> (related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3237,plain,(
% 0.16/5.99 related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ353_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3236])).
% 0.16/5.99 fof(f3239,plain,(
% 0.16/5.99 ~sQ244_spl|sQ353_spl|~sQ188_spl|~sQ319_spl|~sQ59_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3234,f2487,f3236,f2145,f2972,f1031])).
% 0.16/5.99 fof(f3251,plain,(
% 0.16/5.99 empty_carrier(sK24_skl)|element(sK25_skl(sK24_skl),powerset(the_carrier(sK24_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f561,f557])).
% 0.16/5.99 fof(f3254,definition,(
% 0.16/5.99 sQ355_spl <=> (empty_carrier(sK24_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3255,plain,(
% 0.16/5.99 empty_carrier(sK24_skl)|~sQ355_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3254])).
% 0.16/5.99 fof(f3257,definition,(
% 0.16/5.99 sQ356_spl <=> (element(sK25_skl(sK24_skl),powerset(the_carrier(sK24_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3260,plain,(
% 0.16/5.99 sQ355_spl|sQ356_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3251,f3254,f3257])).
% 0.16/5.99 fof(f3269,plain,(
% 0.16/5.99 $false|~sQ355_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3255,f558])).
% 0.16/5.99 fof(f3270,plain,(
% 0.16/5.99 ~sQ355_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3269])).
% 0.16/5.99 fof(f3286,plain,(
% 0.16/5.99 ~latt_str(sK26_skl)|sK26_skl=latt_str_of(the_carrier(sK26_skl),the_L_join(sK26_skl),the_L_meet(sK26_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f566,f126])).
% 0.16/5.99 fof(f3287,definition,(
% 0.16/5.99 sQ362_spl <=> (latt_str(sK26_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3289,plain,(
% 0.16/5.99 ~latt_str(sK26_skl)|sQ362_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3287])).
% 0.16/5.99 fof(f3290,definition,(
% 0.16/5.99 sQ363_spl <=> (sK26_skl=latt_str_of(the_carrier(sK26_skl),the_L_join(sK26_skl),the_L_meet(sK26_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3293,plain,(
% 0.16/5.99 ~sQ362_spl|sQ363_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3286,f3287,f3290])).
% 0.16/5.99 fof(f3294,plain,(
% 0.16/5.99 $false|sQ362_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3289,f564])).
% 0.16/5.99 fof(f3295,plain,(
% 0.16/5.99 sQ362_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3294])).
% 0.16/5.99 fof(f3298,plain,(
% 0.16/5.99 ~latt_str(sK27_skl)|sK27_skl=latt_str_of(the_carrier(sK27_skl),the_L_join(sK27_skl),the_L_meet(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f570,f126])).
% 0.16/5.99 fof(f3299,definition,(
% 0.16/5.99 sQ364_spl <=> (latt_str(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3301,plain,(
% 0.16/5.99 ~latt_str(sK27_skl)|sQ364_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3299])).
% 0.16/5.99 fof(f3302,definition,(
% 0.16/5.99 sQ365_spl <=> (sK27_skl=latt_str_of(the_carrier(sK27_skl),the_L_join(sK27_skl),the_L_meet(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3305,plain,(
% 0.16/5.99 ~sQ364_spl|sQ365_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3298,f3299,f3302])).
% 0.16/5.99 fof(f3306,plain,(
% 0.16/5.99 $false|sQ364_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3301,f568])).
% 0.16/5.99 fof(f3307,plain,(
% 0.16/5.99 sQ364_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3306])).
% 0.16/5.99 fof(f3309,definition,(
% 0.16/5.99 sQ366_spl <=> (empty_carrier(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3310,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~sQ366_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3309])).
% 0.16/5.99 fof(f3312,definition,(
% 0.16/5.99 sQ367_spl <=> (join_associative(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3314,plain,(
% 0.16/5.99 ~join_associative(sK27_skl)|sQ367_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3312])).
% 0.16/5.99 fof(f3315,definition,(
% 0.16/5.99 sQ368_spl <=> (meet_commutative(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3318,definition,(
% 0.16/5.99 sQ369_spl <=> (meet_associative(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3321,definition,(
% 0.16/5.99 sQ370_spl <=> (meet_absorbing(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3324,definition,(
% 0.16/5.99 sQ371_spl <=> (join_absorbing(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3327,definition,(
% 0.16/5.99 sQ372_spl <=> (lattice(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3332,definition,(
% 0.16/5.99 sQ373_spl <=> (join_commutative(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3334,plain,(
% 0.16/5.99 ~join_commutative(sK27_skl)|sQ373_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3332])).
% 0.16/5.99 fof(f3336,plain,(
% 0.16/5.99 $false|~sQ366_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3310,f569])).
% 0.16/5.99 fof(f3337,plain,(
% 0.16/5.99 ~sQ366_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3336])).
% 0.16/5.99 fof(f3338,plain,(
% 0.16/5.99 ~latt_str(sK27_skl)|empty_carrier(sK27_skl)|~join_commutative(sK27_skl)|~join_associative(sK27_skl)|~meet_associative(sK27_skl)|~meet_absorbing(sK27_skl)|~join_absorbing(sK27_skl)|lattice(sK27_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f573,f162])).
% 0.16/5.99 fof(f3339,plain,(
% 0.16/5.99 ~sQ364_spl|sQ366_spl|~sQ373_spl|~sQ367_spl|~sQ369_spl|~sQ370_spl|~sQ371_spl|sQ372_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3338,f3299,f3309,f3332,f3312,f3318,f3321,f3324,f3327])).
% 0.16/5.99 fof(f3340,plain,(
% 0.16/5.99 $false|sQ367_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3314,f572])).
% 0.16/5.99 fof(f3341,plain,(
% 0.16/5.99 sQ367_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3340])).
% 0.16/5.99 fof(f3342,plain,(
% 0.16/5.99 $false|sQ373_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3334,f571])).
% 0.16/5.99 fof(f3343,plain,(
% 0.16/5.99 sQ373_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3342])).
% 0.16/5.99 fof(f3350,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|relation(relation_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f242])).
% 0.16/5.99 fof(f3351,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|transitive(k2_lattice3(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f227])).
% 0.16/5.99 fof(f3352,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|antisymmetric(k2_lattice3(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f226])).
% 0.16/5.99 fof(f3353,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|reflexive(k2_lattice3(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f225])).
% 0.16/5.99 fof(f3354,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|poset_of_lattice(sK27_skl)=rel_str_of(the_carrier(sK27_skl),k2_lattice3(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f206])).
% 0.16/5.99 fof(f3355,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|with_infima_relstr(poset_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f319])).
% 0.16/5.99 fof(f3356,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|with_suprema_relstr(poset_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f318])).
% 0.16/5.99 fof(f3357,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|rel_str(poset_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f235])).
% 0.16/5.99 fof(f3358,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|antisymmetric_relstr(poset_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f234])).
% 0.16/5.99 fof(f3359,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|transitive_relstr(poset_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f233])).
% 0.16/5.99 fof(f3360,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|reflexive_relstr(poset_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f232])).
% 0.16/5.99 fof(f3361,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|strict_rel_str(poset_of_lattice(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f231])).
% 0.16/5.99 fof(f3362,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|relation_of2_as_subset(k2_lattice3(sK27_skl),the_carrier(sK27_skl),the_carrier(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f229])).
% 0.16/5.99 fof(f3363,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|v1_partfun1(k2_lattice3(sK27_skl),the_carrier(sK27_skl),the_carrier(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f228])).
% 0.16/5.99 fof(f3365,plain,(
% 0.16/5.99 ~latt_str(sK27_skl)|empty_carrier(sK27_skl)|join_absorbing(sK27_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f150])).
% 0.16/5.99 fof(f3366,plain,(
% 0.16/5.99 ~latt_str(sK27_skl)|empty_carrier(sK27_skl)|meet_absorbing(sK27_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f149])).
% 0.16/5.99 fof(f3367,plain,(
% 0.16/5.99 ~latt_str(sK27_skl)|empty_carrier(sK27_skl)|meet_associative(sK27_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f148])).
% 0.16/5.99 fof(f3368,plain,(
% 0.16/5.99 ~latt_str(sK27_skl)|empty_carrier(sK27_skl)|meet_commutative(sK27_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f577,f147])).
% 0.16/5.99 fof(f3374,definition,(
% 0.16/5.99 sQ374_spl <=> (relation(relation_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3377,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ374_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3350,f3309,f3299,f3374])).
% 0.16/5.99 fof(f3378,definition,(
% 0.16/5.99 sQ375_spl <=> (transitive(k2_lattice3(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3381,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ375_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3351,f3309,f3299,f3378])).
% 0.16/5.99 fof(f3382,definition,(
% 0.16/5.99 sQ376_spl <=> (antisymmetric(k2_lattice3(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3385,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ376_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3352,f3309,f3299,f3382])).
% 0.16/5.99 fof(f3386,definition,(
% 0.16/5.99 sQ377_spl <=> (reflexive(k2_lattice3(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3389,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ377_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3353,f3309,f3299,f3386])).
% 0.16/5.99 fof(f3390,definition,(
% 0.16/5.99 sQ378_spl <=> (poset_of_lattice(sK27_skl)=rel_str_of(the_carrier(sK27_skl),k2_lattice3(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3393,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ378_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3354,f3309,f3299,f3390])).
% 0.16/5.99 fof(f3394,definition,(
% 0.16/5.99 sQ379_spl <=> (with_infima_relstr(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3397,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ379_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3355,f3309,f3299,f3394])).
% 0.16/5.99 fof(f3398,definition,(
% 0.16/5.99 sQ380_spl <=> (with_suprema_relstr(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3401,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ380_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3356,f3309,f3299,f3398])).
% 0.16/5.99 fof(f3402,definition,(
% 0.16/5.99 sQ381_spl <=> (rel_str(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3405,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ381_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3357,f3309,f3299,f3402])).
% 0.16/5.99 fof(f3406,definition,(
% 0.16/5.99 sQ382_spl <=> (antisymmetric_relstr(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3409,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ382_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3358,f3309,f3299,f3406])).
% 0.16/5.99 fof(f3410,definition,(
% 0.16/5.99 sQ383_spl <=> (transitive_relstr(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3413,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ383_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3359,f3309,f3299,f3410])).
% 0.16/5.99 fof(f3414,definition,(
% 0.16/5.99 sQ384_spl <=> (reflexive_relstr(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3417,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ384_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3360,f3309,f3299,f3414])).
% 0.16/5.99 fof(f3418,definition,(
% 0.16/5.99 sQ385_spl <=> (strict_rel_str(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3421,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ385_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3361,f3309,f3299,f3418])).
% 0.16/5.99 fof(f3422,definition,(
% 0.16/5.99 sQ386_spl <=> (relation_of2_as_subset(k2_lattice3(sK27_skl),the_carrier(sK27_skl),the_carrier(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3425,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ386_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3362,f3309,f3299,f3422])).
% 0.16/5.99 fof(f3426,definition,(
% 0.16/5.99 sQ387_spl <=> (v1_partfun1(k2_lattice3(sK27_skl),the_carrier(sK27_skl),the_carrier(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3429,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ387_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3363,f3309,f3299,f3426])).
% 0.16/5.99 fof(f3437,plain,(
% 0.16/5.99 ~sQ364_spl|sQ366_spl|sQ371_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3365,f3299,f3309,f3324])).
% 0.16/5.99 fof(f3438,plain,(
% 0.16/5.99 ~sQ364_spl|sQ366_spl|sQ370_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3366,f3299,f3309,f3321])).
% 0.16/5.99 fof(f3439,plain,(
% 0.16/5.99 ~sQ364_spl|sQ366_spl|sQ369_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3367,f3299,f3309,f3318])).
% 0.16/5.99 fof(f3440,plain,(
% 0.16/5.99 ~sQ364_spl|sQ366_spl|sQ368_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3368,f3299,f3309,f3315])).
% 0.16/5.99 fof(f3458,plain,(
% 0.16/5.99 empty(cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|in(ordered_pair(sK30_skl,sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ336_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3208,f607])).
% 0.16/5.99 fof(f3459,definition,(
% 0.16/5.99 sQ394_spl <=> (in(ordered_pair(sK30_skl,sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl)))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3462,plain,(
% 0.16/5.99 sQ108_spl|sQ394_spl|~sQ336_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3458,f1556,f3459,f3092])).
% 0.16/5.99 fof(f3463,plain,(
% 0.16/5.99 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ352_spl|~sQ88_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3228,f1188])).
% 0.16/5.99 fof(f3465,plain,(
% 0.16/5.99 ~rel_str(boole_POSet(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ352_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3228,f213])).
% 0.16/5.99 fof(f3466,plain,(
% 0.16/5.99 ~sQ244_spl|sQ246_spl|~sQ352_spl|~sQ88_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3463,f2487,f2493,f3227,f1187])).
% 0.16/5.99 fof(f3468,definition,(
% 0.16/5.99 sQ395_spl <=> (in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl),the_InternalRel(boole_POSet(sK28_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3469,plain,(
% 0.16/5.99 in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ395_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3468])).
% 0.16/5.99 fof(f3471,plain,(
% 0.16/5.99 ~sQ4_spl|~sQ244_spl|~sQ74_spl|sQ395_spl|~sQ352_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3465,f653,f2487,f1083,f3468,f3227])).
% 0.16/5.99 fof(f3472,plain,(
% 0.16/5.99 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|related_reflexive(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ353_spl|~sQ87_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3237,f1184])).
% 0.16/5.99 fof(f3474,plain,(
% 0.16/5.99 ~rel_str(boole_POSet(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ353_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3237,f213])).
% 0.16/5.99 fof(f3475,plain,(
% 0.16/5.99 ~sQ244_spl|sQ285_spl|~sQ353_spl|~sQ87_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3472,f2487,f2731,f3236,f1183])).
% 0.16/5.99 fof(f3477,definition,(
% 0.16/5.99 sQ396_spl <=> (in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl),the_InternalRel(boole_POSet(sK28_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3478,plain,(
% 0.16/5.99 in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl),the_InternalRel(boole_POSet(sK28_skl)))|~sQ396_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3477])).
% 0.16/5.99 fof(f3480,plain,(
% 0.16/5.99 ~sQ4_spl|~sQ244_spl|~sQ72_spl|sQ396_spl|~sQ353_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3474,f653,f2487,f1076,f3477,f3236])).
% 0.16/5.99 fof(f3489,plain,(
% 0.16/5.99 ~rel_str(boole_POSet(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ395_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3469,f214])).
% 0.16/5.99 fof(f3490,plain,(
% 0.16/5.99 element(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ395_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3469,f1495])).
% 0.16/5.99 fof(f3494,plain,(
% 0.16/5.99 ~sQ4_spl|~sQ244_spl|~sQ74_spl|sQ352_spl|~sQ395_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3489,f653,f2487,f1083,f3227,f3468])).
% 0.16/5.99 fof(f3495,plain,(
% 0.16/5.99 ~rel_str(boole_POSet(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|related(boole_POSet(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ396_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3478,f214])).
% 0.16/5.99 fof(f3500,plain,(
% 0.16/5.99 ~sQ4_spl|~sQ244_spl|~sQ72_spl|sQ353_spl|~sQ396_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3495,f653,f2487,f1076,f3236,f3477])).
% 0.16/5.99 fof(f3501,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|k2_lattice3(sK27_skl)=relation_of_lattice(sK27_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f579,f577])).
% 0.16/5.99 fof(f3502,plain,(
% 0.16/5.99 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|k2_lattice3(sK11_skl)=relation_of_lattice(sK11_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f579,f480])).
% 0.16/5.99 fof(f3503,plain,(
% 0.16/5.99 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|k2_lattice3(sK10_skl)=relation_of_lattice(sK10_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f579,f465])).
% 0.16/5.99 fof(f3504,plain,(
% 0.16/5.99 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|k2_lattice3(sK9_skl)=relation_of_lattice(sK9_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f579,f451])).
% 0.16/5.99 fof(f3505,plain,(
% 0.16/5.99 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|k2_lattice3(sK8_skl)=relation_of_lattice(sK8_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f579,f436])).
% 0.16/5.99 fof(f3507,definition,(
% 0.16/5.99 sQ397_spl <=> (k2_lattice3(sK27_skl)=relation_of_lattice(sK27_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3510,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ397_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3501,f3309,f3299,f3507])).
% 0.16/5.99 fof(f3511,definition,(
% 0.16/5.99 sQ398_spl <=> (k2_lattice3(sK11_skl)=relation_of_lattice(sK11_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3514,plain,(
% 0.16/5.99 sQ247_spl|~sQ227_spl|sQ398_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3502,f2509,f2383,f3511])).
% 0.16/5.99 fof(f3515,definition,(
% 0.16/5.99 sQ399_spl <=> (k2_lattice3(sK10_skl)=relation_of_lattice(sK10_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3518,plain,(
% 0.16/5.99 sQ195_spl|~sQ193_spl|sQ399_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3503,f2203,f2193,f3515])).
% 0.16/5.99 fof(f3519,definition,(
% 0.16/5.99 sQ400_spl <=> (k2_lattice3(sK9_skl)=relation_of_lattice(sK9_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3522,plain,(
% 0.16/5.99 sQ148_spl|~sQ146_spl|sQ400_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3504,f1927,f1917,f3519])).
% 0.16/5.99 fof(f3523,definition,(
% 0.16/5.99 sQ401_spl <=> (k2_lattice3(sK8_skl)=relation_of_lattice(sK8_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3526,plain,(
% 0.16/5.99 sQ114_spl|~sQ112_spl|sQ401_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3505,f1708,f1698,f3523])).
% 0.16/5.99 fof(f3532,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~meet_commutative(boole_lattice(sK28_skl))|~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ284_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f586,f2729])).
% 0.16/5.99 fof(f3533,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~meet_commutative(boole_lattice(sK28_skl))|~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_lattice(sK28_skl)))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ245_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f586,f2491])).
% 0.16/5.99 fof(f3534,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~meet_commutative(boole_lattice(sK28_skl))|~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|below(boole_lattice(sK28_skl),sK30_skl,sK29_skl)|~sQ241_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f586,f2469])).
% 0.16/5.99 fof(f3535,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~meet_commutative(boole_lattice(sK28_skl))|~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|below(boole_lattice(sK28_skl),sK30_skl,sK30_skl)|~sQ283_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f586,f2724])).
% 0.16/5.99 fof(f3536,plain,(
% 0.16/5.99 empty_carrier(boole_lattice(sK28_skl))|~meet_commutative(boole_lattice(sK28_skl))|~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|below(boole_lattice(sK28_skl),sK29_skl,sK29_skl)|~sQ243_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f586,f2476])).
% 0.16/5.99 fof(f3538,plain,(
% 0.16/5.99 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|~below_refl(boole_lattice(X0),X1,X2)|below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(paramodulation,[status(thm)],[f1663,f586])).
% 0.16/5.99 fof(f3556,definition,(
% 0.16/5.99 sQ407_spl <=> (meet_commutative(boole_lattice(sK28_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3558,plain,(
% 0.16/5.99 ~meet_commutative(boole_lattice(sK28_skl))|sQ407_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3556])).
% 0.16/5.99 fof(f3559,definition,(
% 0.16/5.99 sQ408_spl <=> (meet_absorbing(boole_lattice(sK28_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3561,plain,(
% 0.16/5.99 ~meet_absorbing(boole_lattice(sK28_skl))|sQ408_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3559])).
% 0.16/5.99 fof(f3562,definition,(
% 0.16/5.99 sQ409_spl <=> (join_absorbing(boole_lattice(sK28_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3564,plain,(
% 0.16/5.99 ~join_absorbing(boole_lattice(sK28_skl))|sQ409_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3562])).
% 0.16/5.99 fof(f3565,definition,(
% 0.16/5.99 sQ410_spl <=> (below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3566,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ410_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3565])).
% 0.16/5.99 fof(f3568,plain,(
% 0.16/5.99 sQ231_spl|~sQ407_spl|~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ315_spl|~sQ239_spl|sQ410_spl|~sQ284_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3532,f2404,f3556,f3559,f3562,f2138,f2941,f2448,f3565,f2728])).
% 0.16/5.99 fof(f3569,definition,(
% 0.16/5.99 sQ411_spl <=> (below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3570,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ411_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3569])).
% 0.16/5.99 fof(f3572,plain,(
% 0.16/5.99 sQ231_spl|~sQ407_spl|~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ315_spl|~sQ234_spl|sQ411_spl|~sQ245_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3533,f2404,f3556,f3559,f3562,f2138,f2941,f2413,f3569,f2490])).
% 0.16/5.99 fof(f3573,definition,(
% 0.16/5.99 sQ412_spl <=> (below(boole_lattice(sK28_skl),sK30_skl,sK29_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3574,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK30_skl,sK29_skl)|~sQ412_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3573])).
% 0.16/5.99 fof(f3576,plain,(
% 0.16/5.99 sQ231_spl|~sQ407_spl|~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ239_spl|~sQ234_spl|sQ412_spl|~sQ241_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3534,f2404,f3556,f3559,f3562,f2138,f2448,f2413,f3573,f2468])).
% 0.16/5.99 fof(f3577,definition,(
% 0.16/5.99 sQ413_spl <=> (below(boole_lattice(sK28_skl),sK30_skl,sK30_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3578,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK30_skl,sK30_skl)|~sQ413_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3577])).
% 0.16/5.99 fof(f3580,plain,(
% 0.16/5.99 sQ231_spl|~sQ407_spl|~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ239_spl|sQ413_spl|~sQ283_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3535,f2404,f3556,f3559,f3562,f2138,f2448,f3577,f2723])).
% 0.16/5.99 fof(f3581,definition,(
% 0.16/5.99 sQ414_spl <=> (below(boole_lattice(sK28_skl),sK29_skl,sK29_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3582,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK29_skl,sK29_skl)|~sQ414_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3581])).
% 0.16/5.99 fof(f3584,plain,(
% 0.16/5.99 sQ231_spl|~sQ407_spl|~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ234_spl|sQ414_spl|~sQ243_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3536,f2404,f3556,f3559,f3562,f2138,f2413,f3581,f2475])).
% 0.16/5.99 fof(f3589,plain,(
% 0.16/5.99 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|~below_refl(boole_lattice(X0),X1,X2)|below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f3538])).
% 0.16/5.99 fof(f3590,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|~below_refl(boole_lattice(X0),X1,X2)|below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3589,f281])).
% 0.16/5.99 fof(f3591,plain,(
% 0.16/5.99 $false|sQ409_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3564,f288])).
% 0.16/5.99 fof(f3592,plain,(
% 0.16/5.99 sQ409_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3591])).
% 0.16/5.99 fof(f3593,plain,(
% 0.16/5.99 $false|sQ408_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3561,f287])).
% 0.16/5.99 fof(f3594,plain,(
% 0.16/5.99 sQ408_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3593])).
% 0.16/5.99 fof(f3595,plain,(
% 0.16/5.99 $false|sQ407_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3558,f285])).
% 0.16/5.99 fof(f3596,plain,(
% 0.16/5.99 sQ407_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3595])).
% 0.16/5.99 fof(f3609,plain,(
% 0.16/5.99 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(paramodulation,[status(thm)],[f1663,f587])).
% 0.16/5.99 fof(f3618,plain,(
% 0.16/5.99 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f3609])).
% 0.16/5.99 fof(f3619,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3618,f281])).
% 0.16/5.99 fof(f3623,plain,(
% 0.16/5.99 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X1))),
% 0.16/5.99 inference(paramodulation,[status(thm)],[f1663,f596])).
% 0.16/5.99 fof(f3629,plain,(
% 0.16/5.99 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X1))),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f3623])).
% 0.16/5.99 fof(f3630,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~meet_commutative(boole_lattice(X0))|~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X1))),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3629,f281])).
% 0.16/5.99 fof(f3631,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~element(X0,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_lattice(X1)))|~below(boole_lattice(X1),X0,X2)|subset(X0,X2))),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f604])).
% 0.16/5.99 fof(f3632,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~element(X0,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_POSet(X1)))|~below(boole_lattice(X1),X0,X2)|subset(X0,X2))),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f3631])).
% 0.16/5.99 fof(f3633,plain,(
% 0.16/5.99 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~below(boole_lattice(sK28_skl),X0,sK29_skl)|subset(X0,sK29_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3632,f611])).
% 0.16/5.99 fof(f3634,plain,(
% 0.16/5.99 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~below(boole_lattice(sK28_skl),X0,sK30_skl)|subset(X0,sK30_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3632,f612])).
% 0.16/5.99 fof(f3636,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~element(X0,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_lattice(X1)))|below(boole_lattice(X1),X0,X2)|~subset(X0,X2))),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f605])).
% 0.16/5.99 fof(f3637,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~element(X0,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_POSet(X1)))|below(boole_lattice(X1),X0,X2)|~subset(X0,X2))),
% 0.16/5.99 inference(forward_demodulation,[status(thm)],[f1663,f3636])).
% 0.16/5.99 fof(f3638,plain,(
% 0.16/5.99 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below(boole_lattice(sK28_skl),X0,sK29_skl)|~subset(X0,sK29_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3637,f611])).
% 0.16/5.99 fof(f3639,plain,(
% 0.16/5.99 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below(boole_lattice(sK28_skl),X0,sK30_skl)|~subset(X0,sK30_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3637,f612])).
% 0.16/5.99 fof(f3671,definition,(
% 0.16/5.99 sQ420_spl <=> (rel_str(sK1_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3673,plain,(
% 0.16/5.99 ~rel_str(sK1_skl)|sQ420_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3671])).
% 0.16/5.99 fof(f3682,plain,(
% 0.16/5.99 $false|sQ420_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3673,f267])).
% 0.16/5.99 fof(f3683,plain,(
% 0.16/5.99 sQ420_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3682])).
% 0.16/5.99 fof(f3684,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|element(cast_to_el_of_LattPOSet(sK27_skl,sK6_skl(the_carrier(sK27_skl))),the_carrier(poset_of_lattice(sK27_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f718,f577])).
% 0.16/5.99 fof(f3685,plain,(
% 0.16/5.99 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|element(cast_to_el_of_LattPOSet(sK11_skl,sK6_skl(the_carrier(sK11_skl))),the_carrier(poset_of_lattice(sK11_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f718,f480])).
% 0.16/5.99 fof(f3686,plain,(
% 0.16/5.99 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|element(cast_to_el_of_LattPOSet(sK10_skl,sK6_skl(the_carrier(sK10_skl))),the_carrier(poset_of_lattice(sK10_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f718,f465])).
% 0.16/5.99 fof(f3687,plain,(
% 0.16/5.99 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|element(cast_to_el_of_LattPOSet(sK9_skl,sK6_skl(the_carrier(sK9_skl))),the_carrier(poset_of_lattice(sK9_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f718,f451])).
% 0.16/5.99 fof(f3688,plain,(
% 0.16/5.99 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|element(cast_to_el_of_LattPOSet(sK8_skl,sK6_skl(the_carrier(sK8_skl))),the_carrier(poset_of_lattice(sK8_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f718,f436])).
% 0.16/5.99 fof(f3690,definition,(
% 0.16/5.99 sQ423_spl <=> (element(cast_to_el_of_LattPOSet(sK27_skl,sK6_skl(the_carrier(sK27_skl))),the_carrier(poset_of_lattice(sK27_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3693,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ423_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3684,f3309,f3299,f3690])).
% 0.16/5.99 fof(f3694,definition,(
% 0.16/5.99 sQ424_spl <=> (element(cast_to_el_of_LattPOSet(sK11_skl,sK6_skl(the_carrier(sK11_skl))),the_carrier(poset_of_lattice(sK11_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3697,plain,(
% 0.16/5.99 sQ247_spl|~sQ227_spl|sQ424_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3685,f2509,f2383,f3694])).
% 0.16/5.99 fof(f3698,definition,(
% 0.16/5.99 sQ425_spl <=> (element(cast_to_el_of_LattPOSet(sK10_skl,sK6_skl(the_carrier(sK10_skl))),the_carrier(poset_of_lattice(sK10_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3701,plain,(
% 0.16/5.99 sQ195_spl|~sQ193_spl|sQ425_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3686,f2203,f2193,f3698])).
% 0.16/5.99 fof(f3702,definition,(
% 0.16/5.99 sQ426_spl <=> (element(cast_to_el_of_LattPOSet(sK9_skl,sK6_skl(the_carrier(sK9_skl))),the_carrier(poset_of_lattice(sK9_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3705,plain,(
% 0.16/5.99 sQ148_spl|~sQ146_spl|sQ426_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3687,f1927,f1917,f3702])).
% 0.16/5.99 fof(f3706,definition,(
% 0.16/5.99 sQ427_spl <=> (element(cast_to_el_of_LattPOSet(sK8_skl,sK6_skl(the_carrier(sK8_skl))),the_carrier(poset_of_lattice(sK8_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3709,plain,(
% 0.16/5.99 sQ114_spl|~sQ112_spl|sQ427_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3688,f1708,f1698,f3706])).
% 0.16/5.99 fof(f3724,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|~below_refl(boole_lattice(X0),X1,X2)|below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3590,f285])).
% 0.16/5.99 fof(f3725,plain,(
% 0.16/5.99 ![X0]: (~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|~below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|below(boole_lattice(sK28_skl),X0,sK29_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3724,f611])).
% 0.16/5.99 fof(f3726,plain,(
% 0.16/5.99 ![X0]: (~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|~below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|below(boole_lattice(sK28_skl),X0,sK30_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3724,f612])).
% 0.16/5.99 fof(f3731,definition,(
% 0.16/5.99 ![X0]: (sQ428_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|below(boole_lattice(sK28_skl),X0,sK29_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3734,plain,(
% 0.16/5.99 ~sQ408_spl|~sQ409_spl|~sQ186_spl|sQ428_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3725,f3559,f3562,f2138,f3731])).
% 0.16/5.99 fof(f3735,definition,(
% 0.16/5.99 ![X0]: (sQ429_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|below(boole_lattice(sK28_skl),X0,sK30_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3736,plain,(
% 0.16/5.99 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|~below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|below(boole_lattice(sK28_skl),X0,sK30_skl)|~sQ429_spl)),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3735])).
% 0.16/5.99 fof(f3738,plain,(
% 0.16/5.99 ~sQ408_spl|~sQ409_spl|~sQ186_spl|sQ429_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3726,f3559,f3562,f2138,f3735])).
% 0.16/5.99 fof(f3746,plain,(
% 0.16/5.99 empty_carrier(sK12_skl)|element(sK25_skl(sK12_skl),powerset(the_carrier(sK12_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f823,f561])).
% 0.16/5.99 fof(f3747,definition,(
% 0.16/5.99 sQ430_spl <=> (element(sK25_skl(sK12_skl),powerset(the_carrier(sK12_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3750,plain,(
% 0.16/5.99 sQ24_spl|sQ430_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3746,f847,f3747])).
% 0.16/5.99 fof(f3751,plain,(
% 0.16/5.99 empty_carrier(sK27_skl)|~latt_str(sK27_skl)|cast_to_el_of_LattPOSet(sK27_skl,sK6_skl(the_carrier(sK27_skl)))=sK6_skl(the_carrier(sK27_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f831,f577])).
% 0.16/5.99 fof(f3752,plain,(
% 0.16/5.99 empty_carrier(sK11_skl)|~latt_str(sK11_skl)|cast_to_el_of_LattPOSet(sK11_skl,sK6_skl(the_carrier(sK11_skl)))=sK6_skl(the_carrier(sK11_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f831,f480])).
% 0.16/5.99 fof(f3753,plain,(
% 0.16/5.99 empty_carrier(sK10_skl)|~latt_str(sK10_skl)|cast_to_el_of_LattPOSet(sK10_skl,sK6_skl(the_carrier(sK10_skl)))=sK6_skl(the_carrier(sK10_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f831,f465])).
% 0.16/5.99 fof(f3754,plain,(
% 0.16/5.99 empty_carrier(sK9_skl)|~latt_str(sK9_skl)|cast_to_el_of_LattPOSet(sK9_skl,sK6_skl(the_carrier(sK9_skl)))=sK6_skl(the_carrier(sK9_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f831,f451])).
% 0.16/5.99 fof(f3755,plain,(
% 0.16/5.99 empty_carrier(sK8_skl)|~latt_str(sK8_skl)|cast_to_el_of_LattPOSet(sK8_skl,sK6_skl(the_carrier(sK8_skl)))=sK6_skl(the_carrier(sK8_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f831,f436])).
% 0.16/5.99 fof(f3757,definition,(
% 0.16/5.99 sQ431_spl <=> (cast_to_el_of_LattPOSet(sK27_skl,sK6_skl(the_carrier(sK27_skl)))=sK6_skl(the_carrier(sK27_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3760,plain,(
% 0.16/5.99 sQ366_spl|~sQ364_spl|sQ431_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3751,f3309,f3299,f3757])).
% 0.16/5.99 fof(f3761,definition,(
% 0.16/5.99 sQ432_spl <=> (cast_to_el_of_LattPOSet(sK11_skl,sK6_skl(the_carrier(sK11_skl)))=sK6_skl(the_carrier(sK11_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3764,plain,(
% 0.16/5.99 sQ247_spl|~sQ227_spl|sQ432_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3752,f2509,f2383,f3761])).
% 0.16/5.99 fof(f3765,definition,(
% 0.16/5.99 sQ433_spl <=> (cast_to_el_of_LattPOSet(sK10_skl,sK6_skl(the_carrier(sK10_skl)))=sK6_skl(the_carrier(sK10_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3768,plain,(
% 0.16/5.99 sQ195_spl|~sQ193_spl|sQ433_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3753,f2203,f2193,f3765])).
% 0.16/5.99 fof(f3769,definition,(
% 0.16/5.99 sQ434_spl <=> (cast_to_el_of_LattPOSet(sK9_skl,sK6_skl(the_carrier(sK9_skl)))=sK6_skl(the_carrier(sK9_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3772,plain,(
% 0.16/5.99 sQ148_spl|~sQ146_spl|sQ434_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3754,f1927,f1917,f3769])).
% 0.16/5.99 fof(f3773,definition,(
% 0.16/5.99 sQ435_spl <=> (cast_to_el_of_LattPOSet(sK8_skl,sK6_skl(the_carrier(sK8_skl)))=sK6_skl(the_carrier(sK8_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3776,plain,(
% 0.16/5.99 sQ114_spl|~sQ112_spl|sQ435_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3755,f1708,f1698,f3773])).
% 0.16/5.99 fof(f3786,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK30_skl,sK29_skl)|~subset(sK30_skl,sK29_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f3638,f612])).
% 0.16/5.99 fof(f3787,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~subset(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f3638,f277])).
% 0.16/5.99 fof(f3788,definition,(
% 0.16/5.99 sQ436_spl <=> (subset(sK29_skl,sK29_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3792,definition,(
% 0.16/5.99 sQ437_spl <=> (subset(sK30_skl,sK29_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3793,plain,(
% 0.16/5.99 subset(sK30_skl,sK29_skl)|~sQ437_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3792])).
% 0.16/5.99 fof(f3795,plain,(
% 0.16/5.99 sQ412_spl|~sQ437_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3786,f3573,f3792])).
% 0.16/5.99 fof(f3796,definition,(
% 0.16/5.99 sQ438_spl <=> (subset(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3799,plain,(
% 0.16/5.99 sQ411_spl|~sQ438_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3787,f3569,f3796])).
% 0.16/5.99 fof(f3800,plain,(
% 0.16/5.99 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|subset(sK29_skl,sK29_skl)|~sQ414_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3582,f3633])).
% 0.16/5.99 fof(f3803,plain,(
% 0.16/5.99 ~sQ74_spl|sQ436_spl|~sQ414_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3800,f1083,f3788,f3581])).
% 0.16/5.99 fof(f3806,plain,(
% 0.16/5.99 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|subset(sK30_skl,sK30_skl)|~sQ413_spl),
% 0.16/5.99 inference(resolution,[status(thm)],[f3578,f3634])).
% 0.16/5.99 fof(f3809,definition,(
% 0.16/5.99 sQ439_spl <=> (subset(sK30_skl,sK30_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3812,plain,(
% 0.16/5.99 ~sQ72_spl|sQ439_spl|~sQ413_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3806,f1076,f3809,f3577])).
% 0.16/5.99 fof(f3815,plain,(
% 0.16/5.99 ![X0,X1,X2]: (~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~below(boole_lattice(X0),X1,X2))),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f3619,f285])).
% 0.16/5.99 fof(f3816,plain,(
% 0.16/5.99 ![X0]: (~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|~below(boole_lattice(sK28_skl),X0,sK29_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3815,f611])).
% 0.16/5.99 fof(f3817,plain,(
% 0.16/5.99 ![X0]: (~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~below(boole_lattice(sK28_skl),X0,sK30_skl))),
% 0.16/5.99 inference(resolution,[status(thm)],[f3815,f612])).
% 0.16/5.99 fof(f3821,definition,(
% 0.16/5.99 ![X0]: (sQ440_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK29_skl)|~below(boole_lattice(sK28_skl),X0,sK29_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3824,plain,(
% 0.16/5.99 ~sQ408_spl|~sQ409_spl|~sQ186_spl|sQ440_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3816,f3559,f3562,f2138,f3821])).
% 0.16/5.99 fof(f3825,definition,(
% 0.16/5.99 ![X0]: (sQ441_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~below(boole_lattice(sK28_skl),X0,sK30_skl)))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3826,plain,(
% 0.16/5.99 ![X0]: (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,sK30_skl)|~below(boole_lattice(sK28_skl),X0,sK30_skl)|~sQ441_spl)),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3825])).
% 0.16/5.99 fof(f3828,plain,(
% 0.16/5.99 ~sQ408_spl|~sQ409_spl|~sQ186_spl|sQ441_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3817,f3559,f3562,f2138,f3825])).
% 0.16/5.99 fof(f3832,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~subset(sK29_skl,sK30_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f3639,f611])).
% 0.16/5.99 fof(f3834,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~subset(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)),
% 0.16/5.99 inference(resolution,[status(thm)],[f3639,f277])).
% 0.16/5.99 fof(f3835,definition,(
% 0.16/5.99 sQ442_spl <=> (below(boole_lattice(sK28_skl),sK29_skl,sK30_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3836,plain,(
% 0.16/5.99 below(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~sQ442_spl),
% 0.16/5.99 inference(component_clause,[status(thm)],[f3835])).
% 0.16/5.99 fof(f3838,plain,(
% 0.16/5.99 sQ442_spl|~sQ1_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3832,f3835,f640])).
% 0.16/5.99 fof(f3840,definition,(
% 0.16/5.99 sQ443_spl <=> (subset(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3843,plain,(
% 0.16/5.99 sQ410_spl|~sQ443_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3834,f3565,f3840])).
% 0.16/5.99 fof(f3904,plain,(
% 0.16/5.99 empty_carrier(sK16_skl)|element(sK25_skl(sK16_skl),powerset(the_carrier(sK16_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f884,f561])).
% 0.16/5.99 fof(f3905,definition,(
% 0.16/5.99 sQ448_spl <=> (element(sK25_skl(sK16_skl),powerset(the_carrier(sK16_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3908,plain,(
% 0.16/5.99 sQ31_spl|sQ448_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3904,f889,f3905])).
% 0.16/5.99 fof(f3909,plain,(
% 0.16/5.99 $false|sQ34_spl),
% 0.16/5.99 inference(forward_subsumption_resolution,[status(thm)],[f901,f514])).
% 0.16/5.99 fof(f3910,plain,(
% 0.16/5.99 sQ34_spl),
% 0.16/5.99 inference(contradiction_clause,[status(thm)],[f3909])).
% 0.16/5.99 fof(f3911,plain,(
% 0.16/5.99 empty_carrier(sK17_skl)|element(sK25_skl(sK17_skl),powerset(the_carrier(sK17_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f918,f561])).
% 0.16/5.99 fof(f3912,definition,(
% 0.16/5.99 sQ449_spl <=> (element(sK25_skl(sK17_skl),powerset(the_carrier(sK17_skl))))),
% 0.16/5.99 introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition])).
% 0.16/5.99 fof(f3915,plain,(
% 0.16/5.99 sQ38_spl|sQ449_spl),
% 0.16/5.99 inference(split_clause,[status(thm)],[f3911,f923,f3912])).
% 0.16/5.99 fof(f3916,plain,(
% 0.16/5.99 empty_carrier(sK18_skl)|element(sK25_skl(sK18_skl),powerset(the_carrier(sK18_skl)))),
% 0.16/5.99 inference(resolution,[status(thm)],[f952,f561])).
% 0.16/6.00 fof(f3917,definition,(
% 0.16/6.00 sQ450_spl <=> (element(sK25_skl(sK18_skl),powerset(the_carrier(sK18_skl))))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f3920,plain,(
% 0.16/6.00 sQ45_spl|sQ450_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3916,f957,f3917])).
% 0.16/6.00 fof(f3925,plain,(
% 0.16/6.00 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|subset(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ411_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3570,f3633])).
% 0.16/6.00 fof(f3926,plain,(
% 0.16/6.00 ~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl)|~sQ411_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3570,f3815])).
% 0.16/6.00 fof(f3929,plain,(
% 0.16/6.00 ~sQ244_spl|sQ438_spl|~sQ411_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3925,f2487,f3796,f3569])).
% 0.16/6.00 fof(f3930,plain,(
% 0.16/6.00 ~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ244_spl|~sQ74_spl|sQ245_spl|~sQ411_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3926,f3559,f3562,f2138,f2487,f1083,f2490,f3569])).
% 0.16/6.00 fof(f3933,plain,(
% 0.16/6.00 ~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|subset(sK30_skl,sK29_skl)|~sQ412_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3574,f3633])).
% 0.16/6.00 fof(f3934,plain,(
% 0.16/6.00 ~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK30_skl,sK29_skl)|~sQ412_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3574,f3815])).
% 0.16/6.00 fof(f3937,plain,(
% 0.16/6.00 ~sQ72_spl|sQ437_spl|~sQ412_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3933,f1076,f3792,f3573])).
% 0.16/6.00 fof(f3938,plain,(
% 0.16/6.00 ~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ72_spl|~sQ74_spl|sQ241_spl|~sQ412_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3934,f3559,f3562,f2138,f1076,f1083,f2468,f3573])).
% 0.16/6.00 fof(f3941,plain,(
% 0.16/6.00 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|subset(sK29_skl,sK30_skl)|~sQ442_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3836,f3634])).
% 0.16/6.00 fof(f3942,plain,(
% 0.16/6.00 ~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|~element(sK30_skl,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~sQ442_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3836,f3815])).
% 0.16/6.00 fof(f3944,plain,(
% 0.16/6.00 empty_carrier(boole_lattice(sK28_skl))|~meet_commutative(boole_lattice(sK28_skl))|~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~sQ442_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3836,f587])).
% 0.16/6.00 fof(f3945,plain,(
% 0.16/6.00 ~sQ74_spl|sQ1_spl|~sQ442_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3941,f1083,f640,f3835])).
% 0.16/6.00 fof(f3946,plain,(
% 0.16/6.00 ~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ74_spl|~sQ72_spl|sQ280_spl|~sQ442_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3942,f3559,f3562,f2138,f1083,f1076,f2706,f3835])).
% 0.16/6.00 fof(f3948,plain,(
% 0.16/6.00 sQ231_spl|~sQ407_spl|~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ234_spl|~sQ239_spl|sQ280_spl|~sQ442_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3944,f2404,f3556,f3559,f3562,f2138,f2413,f2448,f2706,f3835])).
% 0.16/6.00 fof(f3955,plain,(
% 0.16/6.00 element(sK30_skl,powerset(sK29_skl))|~sQ437_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3793,f618])).
% 0.16/6.00 fof(f3962,plain,(
% 0.16/6.00 ![X0]: (~in(X0,sK30_skl)|~empty(sK29_skl)|~sQ437_spl)),
% 0.16/6.00 inference(resolution,[status(thm)],[f3955,f624])).
% 0.16/6.00 fof(f3965,plain,(
% 0.16/6.00 empty(powerset(sK29_skl))|in(sK30_skl,powerset(sK29_skl))|~sQ437_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3955,f607])).
% 0.16/6.00 fof(f3966,definition,(
% 0.16/6.00 ![X0]: (sQ451_spl <=> (~in(X0,sK30_skl)))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f3969,definition,(
% 0.16/6.00 sQ452_spl <=> (empty(sK29_skl))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f3972,plain,(
% 0.16/6.00 sQ451_spl|~sQ452_spl|~sQ437_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3962,f3966,f3969,f3792])).
% 0.16/6.00 fof(f3973,definition,(
% 0.16/6.00 sQ453_spl <=> (empty(powerset(sK29_skl)))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f3974,plain,(
% 0.16/6.00 empty(powerset(sK29_skl))|~sQ453_spl),
% 0.16/6.00 inference(component_clause,[status(thm)],[f3973])).
% 0.16/6.00 fof(f3976,definition,(
% 0.16/6.00 sQ454_spl <=> (in(sK30_skl,powerset(sK29_skl)))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f3979,plain,(
% 0.16/6.00 sQ453_spl|sQ454_spl|~sQ437_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3965,f3973,f3976,f3792])).
% 0.16/6.00 fof(f3980,plain,(
% 0.16/6.00 $false|~sQ453_spl),
% 0.16/6.00 inference(forward_subsumption_resolution,[status(thm)],[f3974,f306])).
% 0.16/6.00 fof(f3981,plain,(
% 0.16/6.00 ~sQ453_spl),
% 0.16/6.00 inference(contradiction_clause,[status(thm)],[f3980])).
% 0.16/6.00 fof(f3988,plain,(
% 0.16/6.00 empty_carrier(sK22_skl)|element(sK25_skl(sK22_skl),powerset(the_carrier(sK22_skl)))),
% 0.16/6.00 inference(resolution,[status(thm)],[f986,f561])).
% 0.16/6.00 fof(f3989,definition,(
% 0.16/6.00 sQ455_spl <=> (element(sK25_skl(sK22_skl),powerset(the_carrier(sK22_skl))))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f3992,plain,(
% 0.16/6.00 sQ52_spl|sQ455_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f3988,f991,f3989])).
% 0.16/6.00 fof(f4055,plain,(
% 0.16/6.00 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ410_spl|~sQ441_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3566,f3826])).
% 0.16/6.00 fof(f4056,plain,(
% 0.16/6.00 ~element(sK6_skl(the_carrier(boole_POSet(sK28_skl))),the_carrier(boole_POSet(sK28_skl)))|subset(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK30_skl)|~sQ410_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3566,f3634])).
% 0.16/6.00 fof(f4060,plain,(
% 0.16/6.00 ~sQ244_spl|sQ284_spl|~sQ410_spl|~sQ441_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f4055,f2487,f2728,f3565,f3825])).
% 0.16/6.00 fof(f4061,plain,(
% 0.16/6.00 ~sQ244_spl|sQ443_spl|~sQ410_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f4056,f2487,f3840,f3565])).
% 0.16/6.00 fof(f4074,plain,(
% 0.16/6.00 ![X0,X1,X2]: (~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X1))),
% 0.16/6.00 inference(forward_subsumption_resolution,[status(thm)],[f3630,f285])).
% 0.16/6.00 fof(f4075,plain,(
% 0.16/6.00 ![X0]: (~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,X0))),
% 0.16/6.00 inference(resolution,[status(thm)],[f4074,f611])).
% 0.16/6.00 fof(f4078,definition,(
% 0.16/6.00 ![X0]: (sQ456_spl <=> (~element(X0,the_carrier(boole_POSet(sK28_skl)))|below_refl(boole_lattice(sK28_skl),X0,X0)))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f4081,plain,(
% 0.16/6.00 ~sQ408_spl|~sQ409_spl|~sQ186_spl|sQ456_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f4075,f3559,f3562,f2138,f4078])).
% 0.16/6.00 fof(f4207,plain,(
% 0.16/6.00 empty(cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl))))|~sQ395_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f3490,f607])).
% 0.16/6.00 fof(f4208,definition,(
% 0.16/6.00 sQ476_spl <=> (in(ordered_pair(sK6_skl(the_carrier(boole_POSet(sK28_skl))),sK29_skl),cartesian_product2(the_carrier(boole_POSet(sK28_skl)),the_carrier(boole_POSet(sK28_skl)))))),
% 0.16/6.00 introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition])).
% 0.16/6.00 fof(f4211,plain,(
% 0.16/6.00 sQ108_spl|sQ476_spl|~sQ395_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f4207,f1556,f4208,f3468])).
% 0.16/6.00 fof(f4286,plain,(
% 0.16/6.00 ~element(sK29_skl,the_carrier(boole_POSet(sK28_skl)))|below(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~sQ280_spl|~sQ429_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f2707,f3736])).
% 0.16/6.00 fof(f4288,plain,(
% 0.16/6.00 empty_carrier(boole_lattice(sK28_skl))|~meet_commutative(boole_lattice(sK28_skl))|~meet_absorbing(boole_lattice(sK28_skl))|~join_absorbing(boole_lattice(sK28_skl))|~latt_str(boole_lattice(sK28_skl))|~element(sK29_skl,the_carrier(boole_lattice(sK28_skl)))|~element(sK30_skl,the_carrier(boole_lattice(sK28_skl)))|below(boole_lattice(sK28_skl),sK29_skl,sK30_skl)|~sQ280_spl),
% 0.16/6.00 inference(resolution,[status(thm)],[f2707,f586])).
% 0.16/6.00 fof(f4290,plain,(
% 0.16/6.00 ~sQ74_spl|sQ442_spl|~sQ280_spl|~sQ429_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f4286,f1083,f3835,f2706,f3735])).
% 0.16/6.00 fof(f4292,plain,(
% 0.16/6.00 sQ231_spl|~sQ407_spl|~sQ408_spl|~sQ409_spl|~sQ186_spl|~sQ234_spl|~sQ239_spl|sQ442_spl|~sQ280_spl),
% 0.16/6.00 inference(split_clause,[status(thm)],[f4288,f2404,f3556,f3559,f3562,f2138,f2413,f2448,f3835,f2706])).
% 0.16/6.00 fof(f4294,plain,(
% 0.16/6.00 $false),
% 0.16/6.00 inference(sat_refutation,[status(thm)],[f643,f644,f659,f686,f792,f796,f798,f800,f856,f873,f875,f898,f905,f909,f915,f917,f932,f949,f951,f966,f983,f985,f1000,f1017,f1019,f1034,f1038,f1048,f1058,f1068,f1082,f1089,f1097,f1099,f1101,f1103,f1105,f1107,f1109,f1133,f1135,f1137,f1148,f1150,f1152,f1160,f1165,f1186,f1190,f1244,f1251,f1258,f1260,f1262,f1269,f1276,f1284,f1289,f1562,f1567,f1580,f1704,f1706,f1736,f1738,f1740,f1742,f1776,f1780,f1784,f1788,f1792,f1796,f1800,f1804,f1808,f1812,f1816,f1820,f1824,f1828,f1836,f1837,f1838,f1839,f1866,f1905,f1912,f1923,f1925,f1955,f1957,f1959,f1961,f1995,f1999,f2003,f2007,f2011,f2015,f2019,f2023,f2027,f2031,f2035,f2039,f2043,f2047,f2055,f2056,f2057,f2058,f2081,f2082,f2088,f2100,f2101,f2144,f2148,f2151,f2170,f2174,f2199,f2201,f2231,f2233,f2235,f2237,f2271,f2275,f2279,f2283,f2287,f2291,f2295,f2299,f2303,f2307,f2311,f2315,f2319,f2323,f2330,f2331,f2332,f2333,f2334,f2357,f2358,f2364,f2376,f2377,f2379,f2389,f2391,f2399,f2403,f2416,f2420,f2423,f2425,f2427,f2440,f2444,f2451,f2455,f2458,f2474,f2478,f2496,f2532,f2537,f2539,f2575,f2579,f2583,f2587,f2591,f2595,f2599,f2603,f2607,f2611,f2615,f2619,f2623,f2627,f2635,f2636,f2637,f2638,f2639,f2664,f2665,f2671,f2678,f2684,f2685,f2693,f2694,f2697,f2702,f2709,f2719,f2726,f2727,f2734,f2751,f2759,f2764,f2770,f2792,f2796,f2800,f2804,f2808,f2810,f2817,f2821,f2825,f2833,f2835,f2851,f2860,f2864,f2868,f2872,f2876,f2878,f2889,f2893,f2897,f2908,f2914,f2939,f2955,f2958,f2967,f2975,f2991,f3000,f3004,f3008,f3012,f3016,f3018,f3029,f3033,f3037,f3042,f3051,f3055,f3059,f3063,f3067,f3069,f3090,f3095,f3137,f3141,f3145,f3149,f3153,f3155,f3166,f3170,f3174,f3187,f3188,f3198,f3200,f3202,f3204,f3212,f3230,f3239,f3260,f3270,f3293,f3295,f3305,f3307,f3337,f3339,f3341,f3343,f3377,f3381,f3385,f3389,f3393,f3397,f3401,f3405,f3409,f3413,f3417,f3421,f3425,f3429,f3437,f3438,f3439,f3440,f3462,f3466,f3471,f3475,f3480,f3494,f3500,f3510,f3514,f3518,f3522,f3526,f3568,f3572,f3576,f3580,f3584,f3592,f3594,f3596,f3683,f3693,f3697,f3701,f3705,f3709,f3734,f3738,f3750,f3760,f3764,f3768,f3772,f3776,f3795,f3799,f3803,f3812,f3824,f3828,f3838,f3843,f3908,f3910,f3915,f3920,f3929,f3930,f3937,f3938,f3945,f3946,f3948,f3972,f3979,f3981,f3992,f4060,f4061,f4081,f4211,f4290,f4292])).
% 0.16/6.00 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/6.00 % Elapsed time: 0.601902 seconds
% 0.16/6.00 % CPU time: 4.222979 seconds
% 0.16/6.00 % Total memory used: 169.640 MB
% 0.16/6.00 % Net memory used: 167.822 MB
%------------------------------------------------------------------------------