TSTP Solution File: SEU369+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU369+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:50 EDT 2023
% Result : Theorem 2.46s 0.66s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU369+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n020.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 09:13:58 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 2.46/0.66 % Refutation found
% 2.46/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.46/0.66 % SZS output start CNFRefutation for theBenchmark
% 2.46/0.66 fof(f1,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f2,axiom,(
% 2.46/0.66 (! [A] :( latt_str(A)=> ( strict_latt_str(A)=> A = latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f5,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> ( with_suprema_relstr(A)=> ~ empty_carrier(A) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f6,axiom,(
% 2.46/0.66 (! [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) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f8,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& with_suprema_relstr(A)& with_infima_relstr(A) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f10,axiom,(
% 2.46/0.66 (! [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) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f11,axiom,(
% 2.46/0.66 (! [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) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f12,axiom,(
% 2.46/0.66 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A) )=> ( ~ empty_carrier(A)& bounded_lattstr(A) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f13,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& bounded_relstr(A) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f14,axiom,(
% 2.46/0.66 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& bounded_lattstr(A) )=> ( ~ empty_carrier(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f15,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> ( bounded_relstr(A)=> ( lower_bounded_relstr(A)& upper_bounded_relstr(A) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f16,axiom,(
% 2.46/0.66 (! [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) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f17,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> ( ( lower_bounded_relstr(A)& upper_bounded_relstr(A) )=> bounded_relstr(A) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f18,axiom,(
% 2.46/0.66 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& distributive_lattstr(A)& bounded_lattstr(A)& complemented_lattstr(A) )=> ( ~ empty_carrier(A)& boolean_lattstr(A) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f19,axiom,(
% 2.46/0.66 (! [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) ) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f21,axiom,(
% 2.46/0.66 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> poset_of_lattice(A) = rel_str_of(the_carrier(A),k2_lattice3(A)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f22,axiom,(
% 2.46/0.66 (! [A] : boole_POSet(A) = poset_of_lattice(boole_lattice(A)) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f23,axiom,(
% 2.46/0.66 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f25,axiom,(
% 2.46/0.66 (! [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)) ) ) )) )) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f28,axiom,(
% 2.46/0.66 (! [A] :( strict_latt_str(boole_lattice(A))& latt_str(boole_lattice(A)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f32,axiom,(
% 2.46/0.66 (! [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)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f35,axiom,(
% 2.46/0.66 (! [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)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f36,axiom,(
% 2.46/0.66 (! [A] :( strict_rel_str(boole_POSet(A))& rel_str(boole_POSet(A)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f37,axiom,(
% 2.46/0.66 (! [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))) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f39,axiom,(
% 2.46/0.66 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> relation(relation_of_lattice(A)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f41,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f43,axiom,(
% 2.46/0.66 (! [A] :( join_semilatt_str(A)=> one_sorted_str(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f44,axiom,(
% 2.46/0.66 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f47,axiom,(
% 2.46/0.66 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f49,axiom,(
% 2.46/0.66 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f58,axiom,(
% 2.46/0.66 (! [A] :(? [B] : element(B,A) ))),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f60,axiom,(
% 2.46/0.66 (! [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)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f63,axiom,(
% 2.46/0.66 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f64,axiom,(
% 2.46/0.66 (! [A] : ~ empty(powerset(A)) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f67,axiom,(
% 2.46/0.66 (! [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)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f69,axiom,(
% 2.46/0.66 (! [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)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f71,axiom,(
% 2.46/0.66 (! [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)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f76,axiom,(
% 2.46/0.66 (! [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)) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f80,axiom,(
% 2.46/0.66 (! [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)) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f82,axiom,(
% 2.46/0.66 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f84,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f85,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f86,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f87,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f88,axiom,(
% 2.46/0.66 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& complete_relstr(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f89,axiom,(
% 2.46/0.66 (? [A] :( rel_str(A)& strict_rel_str(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f92,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f93,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f94,axiom,(
% 2.46/0.66 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f98,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f99,axiom,(
% 2.46/0.66 (? [A] :( latt_str(A)& strict_latt_str(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f100,axiom,(
% 2.46/0.66 (? [A] :( one_sorted_str(A)& ~ empty_carrier(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f101,axiom,(
% 2.46/0.66 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B) ) )) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f102,axiom,(
% 2.46/0.66 (? [A] :( latt_str(A)& ~ empty_carrier(A)& strict_latt_str(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f103,axiom,(
% 2.46/0.66 (? [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f104,axiom,(
% 2.46/0.66 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> k2_lattice3(A) = relation_of_lattice(A) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f105,axiom,(
% 2.46/0.66 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f106,axiom,(
% 2.46/0.66 (! [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) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f107,axiom,(
% 2.46/0.66 (! [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) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f108,axiom,(
% 2.46/0.66 (! [A,B] : subset(A,A) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f109,axiom,(
% 2.46/0.66 (! [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f110,axiom,(
% 2.46/0.66 (! [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) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f112,axiom,(
% 2.46/0.66 (! [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) ) ) )) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f113,axiom,(
% 2.46/0.66 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f114,conjecture,(
% 2.46/0.66 (! [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) ) ) )) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f115,negated_conjecture,(
% 2.46/0.66 ~((! [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) ) ) )) ))),
% 2.46/0.66 inference(negated_conjecture,[status(cth)],[f114])).
% 2.46/0.66 fof(f117,axiom,(
% 2.46/0.66 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f118,axiom,(
% 2.46/0.66 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f121,axiom,(
% 2.46/0.66 (! [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)) ) ) )) )) )),
% 2.46/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.46/0.66 fof(f123,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.46/0.66 fof(f124,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f123])).
% 2.46/0.66 fof(f125,plain,(
% 2.46/0.66 ![A]: (~latt_str(A)|(~strict_latt_str(A)|A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.46/0.66 fof(f126,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|~strict_latt_str(X0)|X0=latt_str_of(the_carrier(X0),the_L_join(X0),the_L_meet(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f125])).
% 2.46/0.66 fof(f141,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|(~with_suprema_relstr(A)|~empty_carrier(A)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.46/0.66 fof(f142,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|~with_suprema_relstr(X0)|~empty_carrier(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f141])).
% 2.46/0.66 fof(f143,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 2.46/0.66 fof(f150,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_absorbing(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f143])).
% 2.46/0.66 fof(f154,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|((~empty_carrier(A)&with_suprema_relstr(A))&with_infima_relstr(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.46/0.66 fof(f156,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_suprema_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f154])).
% 2.46/0.66 fof(f157,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_infima_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f154])).
% 2.46/0.66 fof(f160,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 2.46/0.66 fof(f162,plain,(
% 2.46/0.66 ![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))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f160])).
% 2.46/0.66 fof(f163,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 2.46/0.66 fof(f166,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|transitive_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f163])).
% 2.46/0.66 fof(f167,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|antisymmetric_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f163])).
% 2.46/0.66 fof(f168,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|complete_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f163])).
% 2.46/0.66 fof(f169,plain,(
% 2.46/0.66 ![A]: (~latt_str(A)|(((empty_carrier(A)|~lower_bounded_semilattstr(A))|~upper_bounded_semilattstr(A))|(~empty_carrier(A)&bounded_lattstr(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 2.46/0.66 fof(f171,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lower_bounded_semilattstr(X0)|~upper_bounded_semilattstr(X0)|bounded_lattstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f169])).
% 2.46/0.66 fof(f172,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|(~empty_carrier(A)&bounded_relstr(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 2.46/0.66 fof(f174,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|bounded_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f172])).
% 2.46/0.66 fof(f175,plain,(
% 2.46/0.66 ![A]: (~latt_str(A)|((empty_carrier(A)|~bounded_lattstr(A))|((~empty_carrier(A)&lower_bounded_semilattstr(A))&upper_bounded_semilattstr(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 2.46/0.66 fof(f178,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~bounded_lattstr(X0)|upper_bounded_semilattstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f175])).
% 2.46/0.66 fof(f179,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|(~bounded_relstr(A)|(lower_bounded_relstr(A)&upper_bounded_relstr(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.46/0.66 fof(f180,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|lower_bounded_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f179])).
% 2.46/0.66 fof(f181,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|upper_bounded_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f179])).
% 2.46/0.66 fof(f182,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.46/0.66 fof(f187,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~boolean_lattstr(X0)|bounded_lattstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f182])).
% 2.46/0.66 fof(f188,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~boolean_lattstr(X0)|complemented_lattstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f182])).
% 2.46/0.66 fof(f189,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|((~lower_bounded_relstr(A)|~upper_bounded_relstr(A))|bounded_relstr(A)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 2.46/0.66 fof(f190,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|~lower_bounded_relstr(X0)|~upper_bounded_relstr(X0)|bounded_relstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f189])).
% 2.46/0.66 fof(f191,plain,(
% 2.46/0.66 ![A]: (~latt_str(A)|((((empty_carrier(A)|~distributive_lattstr(A))|~bounded_lattstr(A))|~complemented_lattstr(A))|(~empty_carrier(A)&boolean_lattstr(A))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 2.46/0.66 fof(f193,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~distributive_lattstr(X0)|~bounded_lattstr(X0)|~complemented_lattstr(X0)|boolean_lattstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f191])).
% 2.46/0.66 fof(f194,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 2.46/0.66 fof(f203,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|~distributive_lattstr(X0)|modular_lattstr(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f194])).
% 2.46/0.66 fof(f205,plain,(
% 2.46/0.66 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 2.46/0.66 fof(f206,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|poset_of_lattice(X0)=rel_str_of(the_carrier(X0),k2_lattice3(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f205])).
% 2.46/0.66 fof(f207,plain,(
% 2.46/0.66 ![X0]: (boole_POSet(X0)=poset_of_lattice(boole_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f22])).
% 2.46/0.66 fof(f208,plain,(
% 2.46/0.66 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 2.46/0.66 fof(f209,plain,(
% 2.46/0.66 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f208])).
% 2.46/0.66 fof(f211,plain,(
% 2.46/0.66 ![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))))))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 2.46/0.66 fof(f212,plain,(
% 2.46/0.66 ![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)))))))))),
% 2.46/0.66 inference(NNF_transformation,[status(esa)],[f211])).
% 2.46/0.66 fof(f213,plain,(
% 2.46/0.66 ![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)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f212])).
% 2.46/0.66 fof(f221,plain,(
% 2.46/0.66 (![A]: strict_latt_str(boole_lattice(A)))&(![A]: latt_str(boole_lattice(A)))),
% 2.46/0.66 inference(miniscoping,[status(esa)],[f28])).
% 2.46/0.66 fof(f223,plain,(
% 2.46/0.66 ![X0]: (latt_str(boole_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f221])).
% 2.46/0.66 fof(f224,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 2.46/0.66 fof(f225,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive(k2_lattice3(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f224])).
% 2.46/0.66 fof(f226,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric(k2_lattice3(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f224])).
% 2.46/0.66 fof(f227,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive(k2_lattice3(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f224])).
% 2.46/0.66 fof(f228,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f224])).
% 2.46/0.66 fof(f229,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f224])).
% 2.46/0.66 fof(f230,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 2.46/0.66 fof(f231,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|strict_rel_str(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f230])).
% 2.46/0.66 fof(f232,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive_relstr(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f230])).
% 2.46/0.66 fof(f233,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive_relstr(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f230])).
% 2.46/0.66 fof(f234,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric_relstr(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f230])).
% 2.46/0.66 fof(f235,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|rel_str(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f230])).
% 2.46/0.66 fof(f236,plain,(
% 2.46/0.66 (![A]: strict_rel_str(boole_POSet(A)))&(![A]: rel_str(boole_POSet(A)))),
% 2.46/0.66 inference(miniscoping,[status(esa)],[f36])).
% 2.46/0.66 fof(f237,plain,(
% 2.46/0.66 ![X0]: (strict_rel_str(boole_POSet(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f236])).
% 2.46/0.66 fof(f238,plain,(
% 2.46/0.66 ![X0]: (rel_str(boole_POSet(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f236])).
% 2.46/0.66 fof(f239,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 2.46/0.66 fof(f240,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f239])).
% 2.46/0.66 fof(f241,plain,(
% 2.46/0.66 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|relation(relation_of_lattice(A)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 2.46/0.66 fof(f242,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation(relation_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f241])).
% 2.46/0.66 fof(f245,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 2.46/0.66 fof(f246,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f245])).
% 2.46/0.66 fof(f247,plain,(
% 2.46/0.66 ![A]: (~join_semilatt_str(A)|one_sorted_str(A))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 2.46/0.66 fof(f248,plain,(
% 2.46/0.66 ![X0]: (~join_semilatt_str(X0)|one_sorted_str(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f247])).
% 2.46/0.66 fof(f249,plain,(
% 2.46/0.66 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 2.46/0.66 fof(f251,plain,(
% 2.46/0.66 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f249])).
% 2.46/0.66 fof(f252,plain,(
% 2.46/0.66 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 2.46/0.66 fof(f253,plain,(
% 2.46/0.66 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f252])).
% 2.46/0.66 fof(f258,plain,(
% 2.46/0.66 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 2.46/0.66 fof(f259,plain,(
% 2.46/0.66 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f258])).
% 2.46/0.66 fof(f276,plain,(
% 2.46/0.66 ![A]: element(sk0_6(A),A)),
% 2.46/0.66 inference(skolemization,[status(esa)],[f58])).
% 2.46/0.66 fof(f277,plain,(
% 2.46/0.66 ![X0]: (element(sk0_6(X0),X0))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f276])).
% 2.46/0.66 fof(f280,plain,(
% 2.46/0.66 ((((((((((((((((![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)))),
% 2.46/0.66 inference(miniscoping,[status(esa)],[f60])).
% 2.46/0.66 fof(f281,plain,(
% 2.46/0.66 ![X0]: (~empty_carrier(boole_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f280])).
% 2.46/0.66 fof(f285,plain,(
% 2.46/0.66 ![X0]: (meet_commutative(boole_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f280])).
% 2.46/0.66 fof(f287,plain,(
% 2.46/0.66 ![X0]: (meet_absorbing(boole_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f280])).
% 2.46/0.66 fof(f288,plain,(
% 2.46/0.66 ![X0]: (join_absorbing(boole_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f280])).
% 2.46/0.66 fof(f289,plain,(
% 2.46/0.66 ![X0]: (lattice(boole_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f280])).
% 2.46/0.66 fof(f304,plain,(
% 2.46/0.66 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 2.46/0.66 fof(f305,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f304])).
% 2.46/0.66 fof(f306,plain,(
% 2.46/0.66 ![X0]: (~empty(powerset(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f64])).
% 2.46/0.66 fof(f312,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 2.46/0.66 fof(f313,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~empty_carrier(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f312])).
% 2.46/0.66 fof(f318,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|with_suprema_relstr(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f312])).
% 2.46/0.66 fof(f319,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|with_infima_relstr(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f312])).
% 2.46/0.66 fof(f330,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 2.46/0.66 fof(f331,plain,(
% 2.46/0.66 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|relation(the_InternalRel(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f330])).
% 2.46/0.66 fof(f332,plain,(
% 2.46/0.66 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|reflexive(the_InternalRel(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f330])).
% 2.46/0.66 fof(f333,plain,(
% 2.46/0.66 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|antisymmetric(the_InternalRel(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f330])).
% 2.46/0.66 fof(f334,plain,(
% 2.46/0.66 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|transitive(the_InternalRel(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f330])).
% 2.46/0.66 fof(f335,plain,(
% 2.46/0.66 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|v1_partfun1(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f330])).
% 2.46/0.66 fof(f337,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 2.46/0.66 fof(f343,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~upper_bounded_semilattstr(X0)|~latt_str(X0)|upper_bounded_relstr(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f337])).
% 2.46/0.66 fof(f372,plain,(
% 2.46/0.66 ![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))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 2.46/0.66 fof(f378,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~lower_bounded_semilattstr(X0)|~latt_str(X0)|lower_bounded_relstr(poset_of_lattice(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f372])).
% 2.46/0.66 fof(f401,plain,(
% 2.46/0.66 ((((![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)))),
% 2.46/0.66 inference(miniscoping,[status(esa)],[f80])).
% 2.46/0.66 fof(f402,plain,(
% 2.46/0.66 ![X0]: (~empty_carrier(boole_POSet(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f401])).
% 2.46/0.66 fof(f404,plain,(
% 2.46/0.66 ![X0]: (reflexive_relstr(boole_POSet(X0)))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f401])).
% 2.46/0.66 fof(f419,plain,(
% 2.46/0.66 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 2.46/0.66 fof(f420,plain,(
% 2.46/0.66 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X1=X2)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f419])).
% 2.46/0.66 fof(f426,plain,(
% 2.46/0.66 (((((((((((((latt_str(sk0_8)&~empty_carrier(sk0_8))&strict_latt_str(sk0_8))&join_commutative(sk0_8))&join_associative(sk0_8))&meet_commutative(sk0_8))&meet_associative(sk0_8))&meet_absorbing(sk0_8))&join_absorbing(sk0_8))&lattice(sk0_8))&distributive_lattstr(sk0_8))&modular_lattstr(sk0_8))&lower_bounded_semilattstr(sk0_8))&upper_bounded_semilattstr(sk0_8))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f84])).
% 2.46/0.66 fof(f427,plain,(
% 2.46/0.66 latt_str(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f428,plain,(
% 2.46/0.66 ~empty_carrier(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f429,plain,(
% 2.46/0.66 strict_latt_str(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f430,plain,(
% 2.46/0.66 join_commutative(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f431,plain,(
% 2.46/0.66 join_associative(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f432,plain,(
% 2.46/0.66 meet_commutative(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f433,plain,(
% 2.46/0.66 meet_associative(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f434,plain,(
% 2.46/0.66 meet_absorbing(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f435,plain,(
% 2.46/0.66 join_absorbing(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f436,plain,(
% 2.46/0.66 lattice(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f437,plain,(
% 2.46/0.66 distributive_lattstr(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f439,plain,(
% 2.46/0.66 lower_bounded_semilattstr(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f440,plain,(
% 2.46/0.66 upper_bounded_semilattstr(sk0_8)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f426])).
% 2.46/0.66 fof(f441,plain,(
% 2.46/0.66 ((((((((((((latt_str(sk0_9)&~empty_carrier(sk0_9))&strict_latt_str(sk0_9))&join_commutative(sk0_9))&join_associative(sk0_9))&meet_commutative(sk0_9))&meet_associative(sk0_9))&meet_absorbing(sk0_9))&join_absorbing(sk0_9))&lattice(sk0_9))&lower_bounded_semilattstr(sk0_9))&upper_bounded_semilattstr(sk0_9))&bounded_lattstr(sk0_9))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f85])).
% 2.46/0.66 fof(f442,plain,(
% 2.46/0.66 latt_str(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f443,plain,(
% 2.46/0.66 ~empty_carrier(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f444,plain,(
% 2.46/0.66 strict_latt_str(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f445,plain,(
% 2.46/0.66 join_commutative(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f446,plain,(
% 2.46/0.66 join_associative(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f447,plain,(
% 2.46/0.66 meet_commutative(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f448,plain,(
% 2.46/0.66 meet_associative(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f449,plain,(
% 2.46/0.66 meet_absorbing(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f450,plain,(
% 2.46/0.66 join_absorbing(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f451,plain,(
% 2.46/0.66 lattice(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f452,plain,(
% 2.46/0.66 lower_bounded_semilattstr(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f453,plain,(
% 2.46/0.66 upper_bounded_semilattstr(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f454,plain,(
% 2.46/0.66 bounded_lattstr(sk0_9)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f441])).
% 2.46/0.66 fof(f455,plain,(
% 2.46/0.66 (((((((((((((latt_str(sk0_10)&~empty_carrier(sk0_10))&strict_latt_str(sk0_10))&join_commutative(sk0_10))&join_associative(sk0_10))&meet_commutative(sk0_10))&meet_associative(sk0_10))&meet_absorbing(sk0_10))&join_absorbing(sk0_10))&lattice(sk0_10))&lower_bounded_semilattstr(sk0_10))&upper_bounded_semilattstr(sk0_10))&bounded_lattstr(sk0_10))&complemented_lattstr(sk0_10))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f86])).
% 2.46/0.66 fof(f456,plain,(
% 2.46/0.66 latt_str(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f457,plain,(
% 2.46/0.66 ~empty_carrier(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f458,plain,(
% 2.46/0.66 strict_latt_str(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f459,plain,(
% 2.46/0.66 join_commutative(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f460,plain,(
% 2.46/0.66 join_associative(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f461,plain,(
% 2.46/0.66 meet_commutative(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f462,plain,(
% 2.46/0.66 meet_associative(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f463,plain,(
% 2.46/0.66 meet_absorbing(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f464,plain,(
% 2.46/0.66 join_absorbing(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f465,plain,(
% 2.46/0.66 lattice(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f466,plain,(
% 2.46/0.66 lower_bounded_semilattstr(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f467,plain,(
% 2.46/0.66 upper_bounded_semilattstr(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f468,plain,(
% 2.46/0.66 bounded_lattstr(sk0_10)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f455])).
% 2.46/0.66 fof(f470,plain,(
% 2.46/0.66 (((((((((((((((latt_str(sk0_11)&~empty_carrier(sk0_11))&strict_latt_str(sk0_11))&join_commutative(sk0_11))&join_associative(sk0_11))&meet_commutative(sk0_11))&meet_associative(sk0_11))&meet_absorbing(sk0_11))&join_absorbing(sk0_11))&lattice(sk0_11))&distributive_lattstr(sk0_11))&lower_bounded_semilattstr(sk0_11))&upper_bounded_semilattstr(sk0_11))&bounded_lattstr(sk0_11))&complemented_lattstr(sk0_11))&boolean_lattstr(sk0_11))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f87])).
% 2.46/0.66 fof(f471,plain,(
% 2.46/0.66 latt_str(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f472,plain,(
% 2.46/0.66 ~empty_carrier(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f473,plain,(
% 2.46/0.66 strict_latt_str(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f474,plain,(
% 2.46/0.66 join_commutative(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f475,plain,(
% 2.46/0.66 join_associative(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f476,plain,(
% 2.46/0.66 meet_commutative(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f477,plain,(
% 2.46/0.66 meet_associative(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f478,plain,(
% 2.46/0.66 meet_absorbing(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f479,plain,(
% 2.46/0.66 join_absorbing(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f480,plain,(
% 2.46/0.66 lattice(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f481,plain,(
% 2.46/0.66 distributive_lattstr(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f482,plain,(
% 2.46/0.66 lower_bounded_semilattstr(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f483,plain,(
% 2.46/0.66 upper_bounded_semilattstr(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f484,plain,(
% 2.46/0.66 bounded_lattstr(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f485,plain,(
% 2.46/0.66 complemented_lattstr(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f486,plain,(
% 2.46/0.66 boolean_lattstr(sk0_11)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f470])).
% 2.46/0.66 fof(f487,plain,(
% 2.46/0.66 ((((((rel_str(sk0_12)&~empty_carrier(sk0_12))&strict_rel_str(sk0_12))&reflexive_relstr(sk0_12))&transitive_relstr(sk0_12))&antisymmetric_relstr(sk0_12))&complete_relstr(sk0_12))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f88])).
% 2.46/0.66 fof(f488,plain,(
% 2.46/0.66 rel_str(sk0_12)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f487])).
% 2.46/0.66 fof(f489,plain,(
% 2.46/0.66 ~empty_carrier(sk0_12)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f487])).
% 2.46/0.66 fof(f490,plain,(
% 2.46/0.66 strict_rel_str(sk0_12)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f487])).
% 2.46/0.66 fof(f491,plain,(
% 2.46/0.66 reflexive_relstr(sk0_12)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f487])).
% 2.46/0.66 fof(f492,plain,(
% 2.46/0.66 transitive_relstr(sk0_12)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f487])).
% 2.46/0.66 fof(f493,plain,(
% 2.46/0.66 antisymmetric_relstr(sk0_12)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f487])).
% 2.46/0.66 fof(f494,plain,(
% 2.46/0.66 complete_relstr(sk0_12)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f487])).
% 2.46/0.66 fof(f495,plain,(
% 2.46/0.66 (rel_str(sk0_13)&strict_rel_str(sk0_13))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f89])).
% 2.46/0.66 fof(f496,plain,(
% 2.46/0.66 rel_str(sk0_13)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f495])).
% 2.46/0.66 fof(f497,plain,(
% 2.46/0.66 strict_rel_str(sk0_13)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f495])).
% 2.46/0.66 fof(f504,plain,(
% 2.46/0.66 (((((((((rel_str(sk0_16)&~empty_carrier(sk0_16))&strict_rel_str(sk0_16))&reflexive_relstr(sk0_16))&transitive_relstr(sk0_16))&antisymmetric_relstr(sk0_16))&with_suprema_relstr(sk0_16))&with_infima_relstr(sk0_16))&complete_relstr(sk0_16))&trivial_carrier(sk0_16))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f92])).
% 2.46/0.66 fof(f505,plain,(
% 2.46/0.66 rel_str(sk0_16)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f504])).
% 2.46/0.66 fof(f507,plain,(
% 2.46/0.66 strict_rel_str(sk0_16)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f504])).
% 2.46/0.66 fof(f508,plain,(
% 2.46/0.66 reflexive_relstr(sk0_16)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f504])).
% 2.46/0.66 fof(f510,plain,(
% 2.46/0.66 antisymmetric_relstr(sk0_16)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f504])).
% 2.46/0.66 fof(f511,plain,(
% 2.46/0.66 with_suprema_relstr(sk0_16)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f504])).
% 2.46/0.66 fof(f513,plain,(
% 2.46/0.66 complete_relstr(sk0_16)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f504])).
% 2.46/0.66 fof(f514,plain,(
% 2.46/0.66 trivial_carrier(sk0_16)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f504])).
% 2.46/0.66 fof(f515,plain,(
% 2.46/0.66 ((((((((rel_str(sk0_17)&~empty_carrier(sk0_17))&strict_rel_str(sk0_17))&reflexive_relstr(sk0_17))&transitive_relstr(sk0_17))&antisymmetric_relstr(sk0_17))&with_suprema_relstr(sk0_17))&with_infima_relstr(sk0_17))&complete_relstr(sk0_17))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f93])).
% 2.46/0.66 fof(f516,plain,(
% 2.46/0.66 rel_str(sk0_17)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f515])).
% 2.46/0.66 fof(f518,plain,(
% 2.46/0.66 strict_rel_str(sk0_17)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f515])).
% 2.46/0.66 fof(f519,plain,(
% 2.46/0.66 reflexive_relstr(sk0_17)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f515])).
% 2.46/0.66 fof(f520,plain,(
% 2.46/0.66 transitive_relstr(sk0_17)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f515])).
% 2.46/0.66 fof(f521,plain,(
% 2.46/0.66 antisymmetric_relstr(sk0_17)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f515])).
% 2.46/0.66 fof(f522,plain,(
% 2.46/0.66 with_suprema_relstr(sk0_17)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f515])).
% 2.46/0.66 fof(f524,plain,(
% 2.46/0.66 complete_relstr(sk0_17)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f515])).
% 2.46/0.66 fof(f525,plain,(
% 2.46/0.66 (((((rel_str(sk0_18)&~empty_carrier(sk0_18))&strict_rel_str(sk0_18))&reflexive_relstr(sk0_18))&transitive_relstr(sk0_18))&antisymmetric_relstr(sk0_18))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f94])).
% 2.46/0.66 fof(f526,plain,(
% 2.46/0.66 rel_str(sk0_18)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f525])).
% 2.46/0.66 fof(f527,plain,(
% 2.46/0.66 ~empty_carrier(sk0_18)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f525])).
% 2.46/0.66 fof(f528,plain,(
% 2.46/0.66 strict_rel_str(sk0_18)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f525])).
% 2.46/0.66 fof(f529,plain,(
% 2.46/0.66 reflexive_relstr(sk0_18)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f525])).
% 2.46/0.66 fof(f530,plain,(
% 2.46/0.66 transitive_relstr(sk0_18)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f525])).
% 2.46/0.66 fof(f531,plain,(
% 2.46/0.66 antisymmetric_relstr(sk0_18)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f525])).
% 2.46/0.66 fof(f541,plain,(
% 2.46/0.66 ((((((((((rel_str(sk0_22)&~empty_carrier(sk0_22))&reflexive_relstr(sk0_22))&transitive_relstr(sk0_22))&antisymmetric_relstr(sk0_22))&with_suprema_relstr(sk0_22))&with_infima_relstr(sk0_22))&complete_relstr(sk0_22))&lower_bounded_relstr(sk0_22))&upper_bounded_relstr(sk0_22))&bounded_relstr(sk0_22))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f98])).
% 2.46/0.66 fof(f542,plain,(
% 2.46/0.66 rel_str(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f544,plain,(
% 2.46/0.66 reflexive_relstr(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f545,plain,(
% 2.46/0.66 transitive_relstr(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f546,plain,(
% 2.46/0.66 antisymmetric_relstr(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f547,plain,(
% 2.46/0.66 with_suprema_relstr(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f549,plain,(
% 2.46/0.66 complete_relstr(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f550,plain,(
% 2.46/0.66 lower_bounded_relstr(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f552,plain,(
% 2.46/0.66 bounded_relstr(sk0_22)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f541])).
% 2.46/0.66 fof(f553,plain,(
% 2.46/0.66 (latt_str(sk0_23)&strict_latt_str(sk0_23))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f99])).
% 2.46/0.66 fof(f554,plain,(
% 2.46/0.66 latt_str(sk0_23)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f553])).
% 2.46/0.66 fof(f555,plain,(
% 2.46/0.66 strict_latt_str(sk0_23)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f553])).
% 2.46/0.66 fof(f556,plain,(
% 2.46/0.66 (one_sorted_str(sk0_24)&~empty_carrier(sk0_24))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f100])).
% 2.46/0.66 fof(f557,plain,(
% 2.46/0.66 one_sorted_str(sk0_24)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f556])).
% 2.46/0.66 fof(f558,plain,(
% 2.46/0.66 ~empty_carrier(sk0_24)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f556])).
% 2.46/0.66 fof(f559,plain,(
% 2.46/0.66 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&~empty(B))))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f101])).
% 2.46/0.66 fof(f560,plain,(
% 2.46/0.66 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(element(sk0_25(A),powerset(the_carrier(A)))&~empty(sk0_25(A))))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f559])).
% 2.46/0.66 fof(f561,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|element(sk0_25(X0),powerset(the_carrier(X0))))),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f560])).
% 2.46/0.66 fof(f563,plain,(
% 2.46/0.66 ((latt_str(sk0_26)&~empty_carrier(sk0_26))&strict_latt_str(sk0_26))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f102])).
% 2.46/0.66 fof(f564,plain,(
% 2.46/0.66 latt_str(sk0_26)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f563])).
% 2.46/0.66 fof(f565,plain,(
% 2.46/0.66 ~empty_carrier(sk0_26)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f563])).
% 2.46/0.66 fof(f566,plain,(
% 2.46/0.66 strict_latt_str(sk0_26)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f563])).
% 2.46/0.66 fof(f567,plain,(
% 2.46/0.66 (((((((((latt_str(sk0_27)&~empty_carrier(sk0_27))&strict_latt_str(sk0_27))&join_commutative(sk0_27))&join_associative(sk0_27))&meet_commutative(sk0_27))&meet_associative(sk0_27))&meet_absorbing(sk0_27))&join_absorbing(sk0_27))&lattice(sk0_27))),
% 2.46/0.66 inference(skolemization,[status(esa)],[f103])).
% 2.46/0.66 fof(f568,plain,(
% 2.46/0.66 latt_str(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f569,plain,(
% 2.46/0.66 ~empty_carrier(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f570,plain,(
% 2.46/0.66 strict_latt_str(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f571,plain,(
% 2.46/0.66 join_commutative(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f572,plain,(
% 2.46/0.66 join_associative(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f573,plain,(
% 2.46/0.66 meet_commutative(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f574,plain,(
% 2.46/0.66 meet_associative(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f575,plain,(
% 2.46/0.66 meet_absorbing(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f576,plain,(
% 2.46/0.66 join_absorbing(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f577,plain,(
% 2.46/0.66 lattice(sk0_27)),
% 2.46/0.66 inference(cnf_transformation,[status(esa)],[f567])).
% 2.46/0.66 fof(f578,plain,(
% 2.46/0.66 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|k2_lattice3(A)=relation_of_lattice(A))),
% 2.46/0.66 inference(pre_NNF_transformation,[status(esa)],[f104])).
% 2.46/0.66 fof(f579,plain,(
% 2.46/0.66 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|k2_lattice3(X0)=relation_of_lattice(X0))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f578])).
% 2.46/0.67 fof(f580,plain,(
% 2.46/0.67 ![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)))),
% 2.46/0.67 inference(NNF_transformation,[status(esa)],[f105])).
% 2.46/0.67 fof(f581,plain,(
% 2.46/0.67 (![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)))),
% 2.46/0.67 inference(miniscoping,[status(esa)],[f580])).
% 2.46/0.67 fof(f582,plain,(
% 2.46/0.67 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f581])).
% 2.46/0.67 fof(f584,plain,(
% 2.46/0.67 ![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)))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 2.46/0.67 fof(f585,plain,(
% 2.46/0.67 ![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))))),
% 2.46/0.67 inference(NNF_transformation,[status(esa)],[f584])).
% 2.46/0.67 fof(f586,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f585])).
% 2.46/0.67 fof(f587,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f585])).
% 2.46/0.67 fof(f588,plain,(
% 2.46/0.67 ![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)))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f107])).
% 2.46/0.67 fof(f589,plain,(
% 2.46/0.67 ![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))))),
% 2.46/0.67 inference(NNF_transformation,[status(esa)],[f588])).
% 2.46/0.67 fof(f590,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f589])).
% 2.46/0.67 fof(f592,plain,(
% 2.46/0.67 ![A]: subset(A,A)),
% 2.46/0.67 inference(miniscoping,[status(esa)],[f108])).
% 2.46/0.67 fof(f593,plain,(
% 2.46/0.67 ![X0]: (subset(X0,X0))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f592])).
% 2.46/0.67 fof(f594,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f109])).
% 2.46/0.67 fof(f595,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(miniscoping,[status(esa)],[f594])).
% 2.46/0.67 fof(f596,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f595])).
% 2.46/0.67 fof(f597,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f110])).
% 2.46/0.67 fof(f598,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(miniscoping,[status(esa)],[f597])).
% 2.46/0.67 fof(f599,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f598])).
% 2.46/0.67 fof(f602,plain,(
% 2.46/0.67 ![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)))))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f112])).
% 2.46/0.67 fof(f603,plain,(
% 2.46/0.67 ![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))))))),
% 2.46/0.67 inference(NNF_transformation,[status(esa)],[f602])).
% 2.46/0.67 fof(f604,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f603])).
% 2.46/0.67 fof(f605,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f603])).
% 2.46/0.67 fof(f606,plain,(
% 2.46/0.67 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f113])).
% 2.46/0.67 fof(f607,plain,(
% 2.46/0.67 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f606])).
% 2.46/0.67 fof(f608,plain,(
% 2.46/0.67 (?[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))))))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f115])).
% 2.46/0.67 fof(f609,plain,(
% 2.46/0.67 ?[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))))))),
% 2.46/0.67 inference(NNF_transformation,[status(esa)],[f608])).
% 2.46/0.67 fof(f610,plain,(
% 2.46/0.67 (element(sk0_29,the_carrier(boole_POSet(sk0_28)))&(element(sk0_30,the_carrier(boole_POSet(sk0_28)))&((related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|subset(sk0_29,sk0_30))&(~related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~subset(sk0_29,sk0_30)))))),
% 2.46/0.67 inference(skolemization,[status(esa)],[f609])).
% 2.46/0.67 fof(f611,plain,(
% 2.46/0.67 element(sk0_29,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f610])).
% 2.46/0.67 fof(f612,plain,(
% 2.46/0.67 element(sk0_30,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f610])).
% 2.46/0.67 fof(f613,plain,(
% 2.46/0.67 related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|subset(sk0_29,sk0_30)),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f610])).
% 2.46/0.67 fof(f614,plain,(
% 2.46/0.67 ~related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~subset(sk0_29,sk0_30)),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f610])).
% 2.46/0.67 fof(f619,plain,(
% 2.46/0.67 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f117])).
% 2.46/0.67 fof(f620,plain,(
% 2.46/0.67 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 2.46/0.67 inference(miniscoping,[status(esa)],[f619])).
% 2.46/0.67 fof(f621,plain,(
% 2.46/0.67 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f620])).
% 2.46/0.67 fof(f622,plain,(
% 2.46/0.67 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f118])).
% 2.46/0.67 fof(f623,plain,(
% 2.46/0.67 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 2.46/0.67 inference(miniscoping,[status(esa)],[f622])).
% 2.46/0.67 fof(f624,plain,(
% 2.46/0.67 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f623])).
% 2.46/0.67 fof(f630,plain,(
% 2.46/0.67 ![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))))))))),
% 2.46/0.67 inference(pre_NNF_transformation,[status(esa)],[f121])).
% 2.46/0.67 fof(f631,plain,(
% 2.46/0.67 ![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)))))))))),
% 2.46/0.67 inference(NNF_transformation,[status(esa)],[f630])).
% 2.46/0.67 fof(f632,plain,(
% 2.46/0.67 ![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)))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f631])).
% 2.46/0.67 fof(f633,plain,(
% 2.46/0.67 ![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)))),
% 2.46/0.67 inference(cnf_transformation,[status(esa)],[f631])).
% 2.46/0.67 fof(f637,plain,(
% 2.46/0.67 spl0_0 <=> related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f639,plain,(
% 2.46/0.67 ~related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|spl0_0),
% 2.46/0.67 inference(component_clause,[status(thm)],[f637])).
% 2.46/0.67 fof(f640,plain,(
% 2.46/0.67 spl0_1 <=> subset(sk0_29,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f643,plain,(
% 2.46/0.67 spl0_0|spl0_1),
% 2.46/0.67 inference(split_clause,[status(thm)],[f613,f637,f640])).
% 2.46/0.67 fof(f644,plain,(
% 2.46/0.67 ~spl0_0|~spl0_1),
% 2.46/0.67 inference(split_clause,[status(thm)],[f614,f637,f640])).
% 2.46/0.67 fof(f649,plain,(
% 2.46/0.67 spl0_2 <=> empty_carrier(boole_POSet(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f650,plain,(
% 2.46/0.67 empty_carrier(boole_POSet(sk0_28))|~spl0_2),
% 2.46/0.67 inference(component_clause,[status(thm)],[f649])).
% 2.46/0.67 fof(f652,plain,(
% 2.46/0.67 spl0_3 <=> reflexive_relstr(boole_POSet(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f654,plain,(
% 2.46/0.67 ~reflexive_relstr(boole_POSet(sk0_28))|spl0_3),
% 2.46/0.67 inference(component_clause,[status(thm)],[f652])).
% 2.46/0.67 fof(f655,plain,(
% 2.46/0.67 spl0_4 <=> rel_str(boole_POSet(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f657,plain,(
% 2.46/0.67 ~rel_str(boole_POSet(sk0_28))|spl0_4),
% 2.46/0.67 inference(component_clause,[status(thm)],[f655])).
% 2.46/0.67 fof(f658,plain,(
% 2.46/0.67 spl0_5 <=> ~element(X0,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f659,plain,(
% 2.46/0.67 ![X0]: (~element(X0,the_carrier(boole_POSet(sk0_28)))|~spl0_5)),
% 2.46/0.67 inference(component_clause,[status(thm)],[f658])).
% 2.46/0.67 fof(f661,plain,(
% 2.46/0.67 spl0_6 <=> related_reflexive(boole_POSet(sk0_28),sk0_30,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f662,plain,(
% 2.46/0.67 related_reflexive(boole_POSet(sk0_28),sk0_30,sk0_30)|~spl0_6),
% 2.46/0.67 inference(component_clause,[status(thm)],[f661])).
% 2.46/0.67 fof(f664,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|~element(X0,the_carrier(boole_POSet(sk0_28)))|related_reflexive(boole_POSet(sk0_28),sk0_30,sk0_30))),
% 2.46/0.67 inference(resolution,[status(thm)],[f599,f612])).
% 2.46/0.67 fof(f665,plain,(
% 2.46/0.67 spl0_2|~spl0_3|~spl0_4|spl0_5|spl0_6),
% 2.46/0.67 inference(split_clause,[status(thm)],[f664,f649,f652,f655,f658,f661])).
% 2.46/0.67 fof(f666,plain,(
% 2.46/0.67 spl0_7 <=> related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_29)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f667,plain,(
% 2.46/0.67 related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_29)|~spl0_7),
% 2.46/0.67 inference(component_clause,[status(thm)],[f666])).
% 2.46/0.67 fof(f669,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|~element(X0,the_carrier(boole_POSet(sk0_28)))|related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_29))),
% 2.46/0.67 inference(resolution,[status(thm)],[f599,f611])).
% 2.46/0.67 fof(f670,plain,(
% 2.46/0.67 spl0_2|~spl0_3|~spl0_4|spl0_5|spl0_7),
% 2.46/0.67 inference(split_clause,[status(thm)],[f669,f649,f652,f655,f658,f666])).
% 2.46/0.67 fof(f671,plain,(
% 2.46/0.67 $false|spl0_4),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f657,f238])).
% 2.46/0.67 fof(f672,plain,(
% 2.46/0.67 spl0_4),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f671])).
% 2.46/0.67 fof(f673,plain,(
% 2.46/0.67 $false|spl0_3),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f654,f404])).
% 2.46/0.67 fof(f674,plain,(
% 2.46/0.67 spl0_3),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f673])).
% 2.46/0.67 fof(f675,plain,(
% 2.46/0.67 $false|~spl0_5),
% 2.46/0.67 inference(backward_subsumption_resolution,[status(thm)],[f612,f659])).
% 2.46/0.67 fof(f676,plain,(
% 2.46/0.67 ~spl0_5),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f675])).
% 2.46/0.67 fof(f677,plain,(
% 2.46/0.67 $false|~spl0_2),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f650,f402])).
% 2.46/0.67 fof(f678,plain,(
% 2.46/0.67 ~spl0_2),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f677])).
% 2.46/0.67 fof(f683,plain,(
% 2.46/0.67 one_sorted_str(sk0_22)),
% 2.46/0.67 inference(resolution,[status(thm)],[f246,f542])).
% 2.46/0.67 fof(f684,plain,(
% 2.46/0.67 one_sorted_str(sk0_18)),
% 2.46/0.67 inference(resolution,[status(thm)],[f246,f526])).
% 2.46/0.67 fof(f685,plain,(
% 2.46/0.67 one_sorted_str(sk0_17)),
% 2.46/0.67 inference(resolution,[status(thm)],[f246,f516])).
% 2.46/0.67 fof(f686,plain,(
% 2.46/0.67 one_sorted_str(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f246,f505])).
% 2.46/0.67 fof(f688,plain,(
% 2.46/0.67 one_sorted_str(sk0_12)),
% 2.46/0.67 inference(resolution,[status(thm)],[f246,f488])).
% 2.46/0.67 fof(f690,plain,(
% 2.46/0.67 ![X0]: (one_sorted_str(boole_POSet(X0)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f246,f238])).
% 2.46/0.67 fof(f693,plain,(
% 2.46/0.67 spl0_8 <=> empty(the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f694,plain,(
% 2.46/0.67 empty(the_carrier(boole_POSet(sk0_28)))|~spl0_8),
% 2.46/0.67 inference(component_clause,[status(thm)],[f693])).
% 2.46/0.67 fof(f696,plain,(
% 2.46/0.67 spl0_9 <=> in(sk0_29,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f699,plain,(
% 2.46/0.67 empty(the_carrier(boole_POSet(sk0_28)))|in(sk0_29,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f607,f611])).
% 2.46/0.67 fof(f700,plain,(
% 2.46/0.67 spl0_8|spl0_9),
% 2.46/0.67 inference(split_clause,[status(thm)],[f699,f693,f696])).
% 2.46/0.67 fof(f701,plain,(
% 2.46/0.67 spl0_10 <=> in(sk0_30,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f704,plain,(
% 2.46/0.67 empty(the_carrier(boole_POSet(sk0_28)))|in(sk0_30,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f607,f612])).
% 2.46/0.67 fof(f705,plain,(
% 2.46/0.67 spl0_8|spl0_10),
% 2.46/0.67 inference(split_clause,[status(thm)],[f704,f693,f701])).
% 2.46/0.67 fof(f711,plain,(
% 2.46/0.67 spl0_11 <=> one_sorted_str(boole_POSet(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f713,plain,(
% 2.46/0.67 ~one_sorted_str(boole_POSet(sk0_28))|spl0_11),
% 2.46/0.67 inference(component_clause,[status(thm)],[f711])).
% 2.46/0.67 fof(f714,plain,(
% 2.46/0.67 empty_carrier(boole_POSet(sk0_28))|~one_sorted_str(boole_POSet(sk0_28))|~spl0_8),
% 2.46/0.67 inference(resolution,[status(thm)],[f694,f305])).
% 2.46/0.67 fof(f715,plain,(
% 2.46/0.67 spl0_2|~spl0_11|~spl0_8),
% 2.46/0.67 inference(split_clause,[status(thm)],[f714,f649,f711,f693])).
% 2.46/0.67 fof(f718,plain,(
% 2.46/0.67 $false|spl0_11),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f713,f690])).
% 2.46/0.67 fof(f719,plain,(
% 2.46/0.67 spl0_11),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f718])).
% 2.46/0.67 fof(f764,plain,(
% 2.46/0.67 spl0_18 <=> element(sk0_30,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f766,plain,(
% 2.46/0.67 ~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|spl0_18),
% 2.46/0.67 inference(component_clause,[status(thm)],[f764])).
% 2.46/0.67 fof(f767,plain,(
% 2.46/0.67 spl0_19 <=> related(boole_POSet(sk0_28),sk0_30,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f768,plain,(
% 2.46/0.67 related(boole_POSet(sk0_28),sk0_30,sk0_30)|~spl0_19),
% 2.46/0.67 inference(component_clause,[status(thm)],[f767])).
% 2.46/0.67 fof(f770,plain,(
% 2.46/0.67 empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|related(boole_POSet(sk0_28),sk0_30,sk0_30)|~spl0_6),
% 2.46/0.67 inference(resolution,[status(thm)],[f590,f662])).
% 2.46/0.67 fof(f771,plain,(
% 2.46/0.67 spl0_2|~spl0_3|~spl0_4|~spl0_18|spl0_19|~spl0_6),
% 2.46/0.67 inference(split_clause,[status(thm)],[f770,f649,f652,f655,f764,f767,f661])).
% 2.46/0.67 fof(f772,plain,(
% 2.46/0.67 spl0_20 <=> element(sk0_29,the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f774,plain,(
% 2.46/0.67 ~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|spl0_20),
% 2.46/0.67 inference(component_clause,[status(thm)],[f772])).
% 2.46/0.67 fof(f775,plain,(
% 2.46/0.67 spl0_21 <=> related(boole_POSet(sk0_28),sk0_29,sk0_29)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f776,plain,(
% 2.46/0.67 related(boole_POSet(sk0_28),sk0_29,sk0_29)|~spl0_21),
% 2.46/0.67 inference(component_clause,[status(thm)],[f775])).
% 2.46/0.67 fof(f778,plain,(
% 2.46/0.67 empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|related(boole_POSet(sk0_28),sk0_29,sk0_29)|~spl0_7),
% 2.46/0.67 inference(resolution,[status(thm)],[f590,f667])).
% 2.46/0.67 fof(f779,plain,(
% 2.46/0.67 spl0_2|~spl0_3|~spl0_4|~spl0_20|spl0_21|~spl0_7),
% 2.46/0.67 inference(split_clause,[status(thm)],[f778,f649,f652,f655,f772,f775,f666])).
% 2.46/0.67 fof(f785,plain,(
% 2.46/0.67 $false|spl0_20),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f774,f611])).
% 2.46/0.67 fof(f786,plain,(
% 2.46/0.67 spl0_20),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f785])).
% 2.46/0.67 fof(f787,plain,(
% 2.46/0.67 $false|spl0_18),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f766,f612])).
% 2.46/0.67 fof(f788,plain,(
% 2.46/0.67 spl0_18),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f787])).
% 2.46/0.67 fof(f791,plain,(
% 2.46/0.67 spl0_23 <=> empty(powerset(sk0_30))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f792,plain,(
% 2.46/0.67 empty(powerset(sk0_30))|~spl0_23),
% 2.46/0.67 inference(component_clause,[status(thm)],[f791])).
% 2.46/0.67 fof(f799,plain,(
% 2.46/0.67 $false|~spl0_23),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f792,f306])).
% 2.46/0.67 fof(f800,plain,(
% 2.46/0.67 ~spl0_23),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f799])).
% 2.46/0.67 fof(f804,plain,(
% 2.46/0.67 spl0_25 <=> in(ordered_pair(sk0_29,sk0_29),the_InternalRel(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f805,plain,(
% 2.46/0.67 in(ordered_pair(sk0_29,sk0_29),the_InternalRel(boole_POSet(sk0_28)))|~spl0_25),
% 2.46/0.67 inference(component_clause,[status(thm)],[f804])).
% 2.46/0.67 fof(f807,plain,(
% 2.46/0.67 ~rel_str(boole_POSet(sk0_28))|~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|in(ordered_pair(sk0_29,sk0_29),the_InternalRel(boole_POSet(sk0_28)))|~spl0_21),
% 2.46/0.67 inference(resolution,[status(thm)],[f776,f213])).
% 2.46/0.67 fof(f808,plain,(
% 2.46/0.67 ~spl0_4|~spl0_20|spl0_25|~spl0_21),
% 2.46/0.67 inference(split_clause,[status(thm)],[f807,f655,f772,f804,f775])).
% 2.46/0.67 fof(f809,plain,(
% 2.46/0.67 spl0_26 <=> in(ordered_pair(sk0_30,sk0_30),the_InternalRel(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f810,plain,(
% 2.46/0.67 in(ordered_pair(sk0_30,sk0_30),the_InternalRel(boole_POSet(sk0_28)))|~spl0_26),
% 2.46/0.67 inference(component_clause,[status(thm)],[f809])).
% 2.46/0.67 fof(f812,plain,(
% 2.46/0.67 ~rel_str(boole_POSet(sk0_28))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|in(ordered_pair(sk0_30,sk0_30),the_InternalRel(boole_POSet(sk0_28)))|~spl0_19),
% 2.46/0.67 inference(resolution,[status(thm)],[f768,f213])).
% 2.46/0.67 fof(f813,plain,(
% 2.46/0.67 ~spl0_4|~spl0_18|spl0_26|~spl0_19),
% 2.46/0.67 inference(split_clause,[status(thm)],[f812,f655,f764,f809,f767])).
% 2.46/0.67 fof(f858,plain,(
% 2.46/0.67 join_semilatt_str(sk0_8)),
% 2.46/0.67 inference(resolution,[status(thm)],[f427,f251])).
% 2.46/0.67 fof(f860,plain,(
% 2.46/0.67 spl0_33 <=> latt_str(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f862,plain,(
% 2.46/0.67 ~latt_str(sk0_8)|spl0_33),
% 2.46/0.67 inference(component_clause,[status(thm)],[f860])).
% 2.46/0.67 fof(f863,plain,(
% 2.46/0.67 spl0_34 <=> sk0_8=latt_str_of(the_carrier(sk0_8),the_L_join(sk0_8),the_L_meet(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f866,plain,(
% 2.46/0.67 ~latt_str(sk0_8)|sk0_8=latt_str_of(the_carrier(sk0_8),the_L_join(sk0_8),the_L_meet(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f429,f126])).
% 2.46/0.67 fof(f867,plain,(
% 2.46/0.67 ~spl0_33|spl0_34),
% 2.46/0.67 inference(split_clause,[status(thm)],[f866,f860,f863])).
% 2.46/0.67 fof(f868,plain,(
% 2.46/0.67 $false|spl0_33),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f862,f427])).
% 2.46/0.67 fof(f869,plain,(
% 2.46/0.67 spl0_33),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f868])).
% 2.46/0.67 fof(f870,plain,(
% 2.46/0.67 spl0_35 <=> empty_carrier(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f871,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~spl0_35),
% 2.46/0.67 inference(component_clause,[status(thm)],[f870])).
% 2.46/0.67 fof(f873,plain,(
% 2.46/0.67 spl0_36 <=> join_commutative(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f875,plain,(
% 2.46/0.67 ~join_commutative(sk0_8)|spl0_36),
% 2.46/0.67 inference(component_clause,[status(thm)],[f873])).
% 2.46/0.67 fof(f876,plain,(
% 2.46/0.67 spl0_37 <=> join_associative(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f878,plain,(
% 2.46/0.67 ~join_associative(sk0_8)|spl0_37),
% 2.46/0.67 inference(component_clause,[status(thm)],[f876])).
% 2.46/0.67 fof(f879,plain,(
% 2.46/0.67 spl0_38 <=> meet_commutative(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f881,plain,(
% 2.46/0.67 ~meet_commutative(sk0_8)|spl0_38),
% 2.46/0.67 inference(component_clause,[status(thm)],[f879])).
% 2.46/0.67 fof(f882,plain,(
% 2.46/0.67 spl0_39 <=> meet_associative(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f884,plain,(
% 2.46/0.67 ~meet_associative(sk0_8)|spl0_39),
% 2.46/0.67 inference(component_clause,[status(thm)],[f882])).
% 2.46/0.67 fof(f885,plain,(
% 2.46/0.67 spl0_40 <=> meet_absorbing(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f887,plain,(
% 2.46/0.67 ~meet_absorbing(sk0_8)|spl0_40),
% 2.46/0.67 inference(component_clause,[status(thm)],[f885])).
% 2.46/0.67 fof(f888,plain,(
% 2.46/0.67 spl0_41 <=> lattice(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f891,plain,(
% 2.46/0.67 ~latt_str(sk0_8)|empty_carrier(sk0_8)|~join_commutative(sk0_8)|~join_associative(sk0_8)|~meet_commutative(sk0_8)|~meet_associative(sk0_8)|~meet_absorbing(sk0_8)|lattice(sk0_8)),
% 2.46/0.67 inference(resolution,[status(thm)],[f435,f162])).
% 2.46/0.67 fof(f892,plain,(
% 2.46/0.67 ~spl0_33|spl0_35|~spl0_36|~spl0_37|~spl0_38|~spl0_39|~spl0_40|spl0_41),
% 2.46/0.67 inference(split_clause,[status(thm)],[f891,f860,f870,f873,f876,f879,f882,f885,f888])).
% 2.46/0.67 fof(f893,plain,(
% 2.46/0.67 $false|spl0_40),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f887,f434])).
% 2.46/0.67 fof(f894,plain,(
% 2.46/0.67 spl0_40),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f893])).
% 2.46/0.67 fof(f895,plain,(
% 2.46/0.67 $false|spl0_39),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f884,f433])).
% 2.46/0.67 fof(f896,plain,(
% 2.46/0.67 spl0_39),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f895])).
% 2.46/0.67 fof(f897,plain,(
% 2.46/0.67 $false|spl0_38),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f881,f432])).
% 2.46/0.67 fof(f898,plain,(
% 2.46/0.67 spl0_38),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f897])).
% 2.46/0.67 fof(f899,plain,(
% 2.46/0.67 $false|spl0_37),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f878,f431])).
% 2.46/0.67 fof(f900,plain,(
% 2.46/0.67 spl0_37),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f899])).
% 2.46/0.67 fof(f901,plain,(
% 2.46/0.67 $false|spl0_36),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f875,f430])).
% 2.46/0.67 fof(f902,plain,(
% 2.46/0.67 spl0_36),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f901])).
% 2.46/0.67 fof(f903,plain,(
% 2.46/0.67 $false|~spl0_35),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f871,f428])).
% 2.46/0.67 fof(f904,plain,(
% 2.46/0.67 ~spl0_35),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f903])).
% 2.46/0.67 fof(f905,plain,(
% 2.46/0.67 spl0_42 <=> relation_of2_as_subset(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f908,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|relation_of2_as_subset(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f229])).
% 2.46/0.67 fof(f909,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_42),
% 2.46/0.67 inference(split_clause,[status(thm)],[f908,f870,f860,f905])).
% 2.46/0.67 fof(f910,plain,(
% 2.46/0.67 spl0_43 <=> v1_partfun1(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f913,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|v1_partfun1(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f228])).
% 2.46/0.67 fof(f914,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_43),
% 2.46/0.67 inference(split_clause,[status(thm)],[f913,f870,f860,f910])).
% 2.46/0.67 fof(f915,plain,(
% 2.46/0.67 spl0_44 <=> poset_of_lattice(sk0_8)=rel_str_of(the_carrier(sk0_8),k2_lattice3(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f918,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|poset_of_lattice(sk0_8)=rel_str_of(the_carrier(sk0_8),k2_lattice3(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f206])).
% 2.46/0.67 fof(f919,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_44),
% 2.46/0.67 inference(split_clause,[status(thm)],[f918,f870,f860,f915])).
% 2.46/0.67 fof(f920,plain,(
% 2.46/0.67 spl0_45 <=> k2_lattice3(sk0_8)=relation_of_lattice(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f923,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|k2_lattice3(sk0_8)=relation_of_lattice(sk0_8)),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f579])).
% 2.46/0.67 fof(f924,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_45),
% 2.46/0.67 inference(split_clause,[status(thm)],[f923,f870,f860,f920])).
% 2.46/0.67 fof(f925,plain,(
% 2.46/0.67 spl0_46 <=> with_infima_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f928,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|with_infima_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f319])).
% 2.46/0.67 fof(f929,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_46),
% 2.46/0.67 inference(split_clause,[status(thm)],[f928,f870,f860,f925])).
% 2.46/0.67 fof(f930,plain,(
% 2.46/0.67 spl0_47 <=> with_suprema_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f933,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|with_suprema_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f318])).
% 2.46/0.67 fof(f934,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_47),
% 2.46/0.67 inference(split_clause,[status(thm)],[f933,f870,f860,f930])).
% 2.46/0.67 fof(f935,plain,(
% 2.46/0.67 spl0_48 <=> relation(relation_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f938,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|relation(relation_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f242])).
% 2.46/0.67 fof(f939,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_48),
% 2.46/0.67 inference(split_clause,[status(thm)],[f938,f870,f860,f935])).
% 2.46/0.67 fof(f940,plain,(
% 2.46/0.67 spl0_49 <=> rel_str(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f941,plain,(
% 2.46/0.67 rel_str(poset_of_lattice(sk0_8))|~spl0_49),
% 2.46/0.67 inference(component_clause,[status(thm)],[f940])).
% 2.46/0.67 fof(f943,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|rel_str(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f235])).
% 2.46/0.67 fof(f944,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_49),
% 2.46/0.67 inference(split_clause,[status(thm)],[f943,f870,f860,f940])).
% 2.46/0.67 fof(f945,plain,(
% 2.46/0.67 spl0_50 <=> antisymmetric_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f946,plain,(
% 2.46/0.67 antisymmetric_relstr(poset_of_lattice(sk0_8))|~spl0_50),
% 2.46/0.67 inference(component_clause,[status(thm)],[f945])).
% 2.46/0.67 fof(f948,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|antisymmetric_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f234])).
% 2.46/0.67 fof(f949,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_50),
% 2.46/0.67 inference(split_clause,[status(thm)],[f948,f870,f860,f945])).
% 2.46/0.67 fof(f950,plain,(
% 2.46/0.67 spl0_51 <=> transitive_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f953,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|transitive_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f233])).
% 2.46/0.67 fof(f954,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_51),
% 2.46/0.67 inference(split_clause,[status(thm)],[f953,f870,f860,f950])).
% 2.46/0.67 fof(f955,plain,(
% 2.46/0.67 spl0_52 <=> reflexive_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f956,plain,(
% 2.46/0.67 reflexive_relstr(poset_of_lattice(sk0_8))|~spl0_52),
% 2.46/0.67 inference(component_clause,[status(thm)],[f955])).
% 2.46/0.67 fof(f958,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|reflexive_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f232])).
% 2.46/0.67 fof(f959,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_52),
% 2.46/0.67 inference(split_clause,[status(thm)],[f958,f870,f860,f955])).
% 2.46/0.67 fof(f960,plain,(
% 2.46/0.67 spl0_53 <=> strict_rel_str(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f961,plain,(
% 2.46/0.67 strict_rel_str(poset_of_lattice(sk0_8))|~spl0_53),
% 2.46/0.67 inference(component_clause,[status(thm)],[f960])).
% 2.46/0.67 fof(f963,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|strict_rel_str(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f231])).
% 2.46/0.67 fof(f964,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_53),
% 2.46/0.67 inference(split_clause,[status(thm)],[f963,f870,f860,f960])).
% 2.46/0.67 fof(f965,plain,(
% 2.46/0.67 spl0_54 <=> transitive(k2_lattice3(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f968,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|transitive(k2_lattice3(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f227])).
% 2.46/0.67 fof(f969,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_54),
% 2.46/0.67 inference(split_clause,[status(thm)],[f968,f870,f860,f965])).
% 2.46/0.67 fof(f970,plain,(
% 2.46/0.67 spl0_55 <=> antisymmetric(k2_lattice3(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f973,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|antisymmetric(k2_lattice3(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f226])).
% 2.46/0.67 fof(f974,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_55),
% 2.46/0.67 inference(split_clause,[status(thm)],[f973,f870,f860,f970])).
% 2.46/0.67 fof(f975,plain,(
% 2.46/0.67 spl0_56 <=> reflexive(k2_lattice3(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f978,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|reflexive(k2_lattice3(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f225])).
% 2.46/0.67 fof(f979,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_56),
% 2.46/0.67 inference(split_clause,[status(thm)],[f978,f870,f860,f975])).
% 2.46/0.67 fof(f980,plain,(
% 2.46/0.67 spl0_57 <=> join_absorbing(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f983,plain,(
% 2.46/0.67 ~latt_str(sk0_8)|empty_carrier(sk0_8)|join_absorbing(sk0_8)),
% 2.46/0.67 inference(resolution,[status(thm)],[f436,f150])).
% 2.46/0.67 fof(f984,plain,(
% 2.46/0.67 ~spl0_33|spl0_35|spl0_57),
% 2.46/0.67 inference(split_clause,[status(thm)],[f983,f860,f870,f980])).
% 2.46/0.67 fof(f995,plain,(
% 2.46/0.67 one_sorted_str(poset_of_lattice(sk0_8))|~spl0_49),
% 2.46/0.67 inference(resolution,[status(thm)],[f941,f246])).
% 2.46/0.67 fof(f996,plain,(
% 2.46/0.67 spl0_58 <=> modular_lattstr(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f999,plain,(
% 2.46/0.67 ~latt_str(sk0_8)|empty_carrier(sk0_8)|~lattice(sk0_8)|modular_lattstr(sk0_8)),
% 2.46/0.67 inference(resolution,[status(thm)],[f437,f203])).
% 2.46/0.67 fof(f1000,plain,(
% 2.46/0.67 ~spl0_33|spl0_35|~spl0_41|spl0_58),
% 2.46/0.67 inference(split_clause,[status(thm)],[f999,f860,f870,f888,f996])).
% 2.46/0.67 fof(f1001,plain,(
% 2.46/0.67 spl0_59 <=> lower_bounded_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1004,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~lattice(sk0_8)|~latt_str(sk0_8)|lower_bounded_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f439,f378])).
% 2.46/0.67 fof(f1005,plain,(
% 2.46/0.67 spl0_35|~spl0_41|~spl0_33|spl0_59),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1004,f870,f888,f860,f1001])).
% 2.46/0.67 fof(f1006,plain,(
% 2.46/0.67 spl0_60 <=> lower_bounded_semilattstr(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1008,plain,(
% 2.46/0.67 ~lower_bounded_semilattstr(sk0_8)|spl0_60),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1006])).
% 2.46/0.67 fof(f1009,plain,(
% 2.46/0.67 spl0_61 <=> bounded_lattstr(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1010,plain,(
% 2.46/0.67 bounded_lattstr(sk0_8)|~spl0_61),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1009])).
% 2.46/0.67 fof(f1012,plain,(
% 2.46/0.67 ~latt_str(sk0_8)|empty_carrier(sk0_8)|~lower_bounded_semilattstr(sk0_8)|bounded_lattstr(sk0_8)),
% 2.46/0.67 inference(resolution,[status(thm)],[f440,f171])).
% 2.46/0.67 fof(f1013,plain,(
% 2.46/0.67 ~spl0_33|spl0_35|~spl0_60|spl0_61),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1012,f860,f870,f1006,f1009])).
% 2.46/0.67 fof(f1014,plain,(
% 2.46/0.67 spl0_62 <=> upper_bounded_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1015,plain,(
% 2.46/0.67 upper_bounded_relstr(poset_of_lattice(sk0_8))|~spl0_62),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1014])).
% 2.46/0.67 fof(f1017,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~lattice(sk0_8)|~latt_str(sk0_8)|upper_bounded_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f440,f343])).
% 2.46/0.67 fof(f1018,plain,(
% 2.46/0.67 spl0_35|~spl0_41|~spl0_33|spl0_62),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1017,f870,f888,f860,f1014])).
% 2.46/0.67 fof(f1019,plain,(
% 2.46/0.67 $false|spl0_60),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1008,f439])).
% 2.46/0.67 fof(f1020,plain,(
% 2.46/0.67 spl0_60),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1019])).
% 2.46/0.67 fof(f1021,plain,(
% 2.46/0.67 join_semilatt_str(sk0_9)),
% 2.46/0.67 inference(resolution,[status(thm)],[f442,f251])).
% 2.46/0.67 fof(f1023,plain,(
% 2.46/0.67 spl0_63 <=> latt_str(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1025,plain,(
% 2.46/0.67 ~latt_str(sk0_9)|spl0_63),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1023])).
% 2.46/0.67 fof(f1026,plain,(
% 2.46/0.67 spl0_64 <=> sk0_9=latt_str_of(the_carrier(sk0_9),the_L_join(sk0_9),the_L_meet(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1029,plain,(
% 2.46/0.67 ~latt_str(sk0_9)|sk0_9=latt_str_of(the_carrier(sk0_9),the_L_join(sk0_9),the_L_meet(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f444,f126])).
% 2.46/0.67 fof(f1030,plain,(
% 2.46/0.67 ~spl0_63|spl0_64),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1029,f1023,f1026])).
% 2.46/0.67 fof(f1031,plain,(
% 2.46/0.67 $false|spl0_63),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1025,f442])).
% 2.46/0.67 fof(f1032,plain,(
% 2.46/0.67 spl0_63),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1031])).
% 2.46/0.67 fof(f1036,plain,(
% 2.46/0.67 ![X0]: (~rel_str(boole_POSet(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f237,f124])).
% 2.46/0.67 fof(f1037,plain,(
% 2.46/0.67 ![X0]: (boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1036,f238])).
% 2.46/0.67 fof(f1038,plain,(
% 2.46/0.67 spl0_65 <=> empty_carrier(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1039,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~spl0_65),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1038])).
% 2.46/0.67 fof(f1041,plain,(
% 2.46/0.67 spl0_66 <=> join_commutative(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1043,plain,(
% 2.46/0.67 ~join_commutative(sk0_9)|spl0_66),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1041])).
% 2.46/0.67 fof(f1044,plain,(
% 2.46/0.67 spl0_67 <=> join_associative(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1046,plain,(
% 2.46/0.67 ~join_associative(sk0_9)|spl0_67),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1044])).
% 2.46/0.67 fof(f1047,plain,(
% 2.46/0.67 spl0_68 <=> meet_commutative(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1049,plain,(
% 2.46/0.67 ~meet_commutative(sk0_9)|spl0_68),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1047])).
% 2.46/0.67 fof(f1050,plain,(
% 2.46/0.67 spl0_69 <=> meet_associative(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1052,plain,(
% 2.46/0.67 ~meet_associative(sk0_9)|spl0_69),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1050])).
% 2.46/0.67 fof(f1053,plain,(
% 2.46/0.67 spl0_70 <=> meet_absorbing(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1055,plain,(
% 2.46/0.67 ~meet_absorbing(sk0_9)|spl0_70),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1053])).
% 2.46/0.67 fof(f1056,plain,(
% 2.46/0.67 spl0_71 <=> lattice(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1059,plain,(
% 2.46/0.67 ~latt_str(sk0_9)|empty_carrier(sk0_9)|~join_commutative(sk0_9)|~join_associative(sk0_9)|~meet_commutative(sk0_9)|~meet_associative(sk0_9)|~meet_absorbing(sk0_9)|lattice(sk0_9)),
% 2.46/0.67 inference(resolution,[status(thm)],[f450,f162])).
% 2.46/0.67 fof(f1060,plain,(
% 2.46/0.67 ~spl0_63|spl0_65|~spl0_66|~spl0_67|~spl0_68|~spl0_69|~spl0_70|spl0_71),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1059,f1023,f1038,f1041,f1044,f1047,f1050,f1053,f1056])).
% 2.46/0.67 fof(f1061,plain,(
% 2.46/0.67 $false|spl0_70),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1055,f449])).
% 2.46/0.67 fof(f1062,plain,(
% 2.46/0.67 spl0_70),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1061])).
% 2.46/0.67 fof(f1063,plain,(
% 2.46/0.67 $false|spl0_69),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1052,f448])).
% 2.46/0.67 fof(f1064,plain,(
% 2.46/0.67 spl0_69),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1063])).
% 2.46/0.67 fof(f1065,plain,(
% 2.46/0.67 $false|spl0_68),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1049,f447])).
% 2.46/0.67 fof(f1066,plain,(
% 2.46/0.67 spl0_68),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1065])).
% 2.46/0.67 fof(f1067,plain,(
% 2.46/0.67 $false|spl0_67),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1046,f446])).
% 2.46/0.67 fof(f1068,plain,(
% 2.46/0.67 spl0_67),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1067])).
% 2.46/0.67 fof(f1069,plain,(
% 2.46/0.67 $false|spl0_66),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1043,f445])).
% 2.46/0.67 fof(f1070,plain,(
% 2.46/0.67 spl0_66),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1069])).
% 2.46/0.67 fof(f1071,plain,(
% 2.46/0.67 $false|~spl0_65),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1039,f443])).
% 2.46/0.67 fof(f1072,plain,(
% 2.46/0.67 ~spl0_65),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1071])).
% 2.46/0.67 fof(f1073,plain,(
% 2.46/0.67 spl0_72 <=> relation_of2_as_subset(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1076,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|relation_of2_as_subset(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f229])).
% 2.46/0.67 fof(f1077,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_72),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1076,f1038,f1023,f1073])).
% 2.46/0.67 fof(f1078,plain,(
% 2.46/0.67 spl0_73 <=> v1_partfun1(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1081,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|v1_partfun1(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f228])).
% 2.46/0.67 fof(f1082,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_73),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1081,f1038,f1023,f1078])).
% 2.46/0.67 fof(f1083,plain,(
% 2.46/0.67 spl0_74 <=> poset_of_lattice(sk0_9)=rel_str_of(the_carrier(sk0_9),k2_lattice3(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1086,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|poset_of_lattice(sk0_9)=rel_str_of(the_carrier(sk0_9),k2_lattice3(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f206])).
% 2.46/0.67 fof(f1087,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_74),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1086,f1038,f1023,f1083])).
% 2.46/0.67 fof(f1088,plain,(
% 2.46/0.67 spl0_75 <=> k2_lattice3(sk0_9)=relation_of_lattice(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1091,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|k2_lattice3(sk0_9)=relation_of_lattice(sk0_9)),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f579])).
% 2.46/0.67 fof(f1092,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_75),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1091,f1038,f1023,f1088])).
% 2.46/0.67 fof(f1093,plain,(
% 2.46/0.67 spl0_76 <=> with_infima_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1096,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|with_infima_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f319])).
% 2.46/0.67 fof(f1097,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_76),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1096,f1038,f1023,f1093])).
% 2.46/0.67 fof(f1098,plain,(
% 2.46/0.67 spl0_77 <=> with_suprema_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1101,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|with_suprema_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f318])).
% 2.46/0.67 fof(f1102,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_77),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1101,f1038,f1023,f1098])).
% 2.46/0.67 fof(f1103,plain,(
% 2.46/0.67 spl0_78 <=> relation(relation_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1106,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|relation(relation_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f242])).
% 2.46/0.67 fof(f1107,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_78),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1106,f1038,f1023,f1103])).
% 2.46/0.67 fof(f1108,plain,(
% 2.46/0.67 spl0_79 <=> rel_str(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1109,plain,(
% 2.46/0.67 rel_str(poset_of_lattice(sk0_9))|~spl0_79),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1108])).
% 2.46/0.67 fof(f1111,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|rel_str(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f235])).
% 2.46/0.67 fof(f1112,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_79),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1111,f1038,f1023,f1108])).
% 2.46/0.67 fof(f1113,plain,(
% 2.46/0.67 spl0_80 <=> antisymmetric_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1114,plain,(
% 2.46/0.67 antisymmetric_relstr(poset_of_lattice(sk0_9))|~spl0_80),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1113])).
% 2.46/0.67 fof(f1116,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|antisymmetric_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f234])).
% 2.46/0.67 fof(f1117,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_80),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1116,f1038,f1023,f1113])).
% 2.46/0.67 fof(f1118,plain,(
% 2.46/0.67 spl0_81 <=> transitive_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1121,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|transitive_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f233])).
% 2.46/0.67 fof(f1122,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_81),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1121,f1038,f1023,f1118])).
% 2.46/0.67 fof(f1123,plain,(
% 2.46/0.67 spl0_82 <=> reflexive_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1124,plain,(
% 2.46/0.67 reflexive_relstr(poset_of_lattice(sk0_9))|~spl0_82),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1123])).
% 2.46/0.67 fof(f1126,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|reflexive_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f232])).
% 2.46/0.67 fof(f1127,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_82),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1126,f1038,f1023,f1123])).
% 2.46/0.67 fof(f1128,plain,(
% 2.46/0.67 spl0_83 <=> strict_rel_str(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1129,plain,(
% 2.46/0.67 strict_rel_str(poset_of_lattice(sk0_9))|~spl0_83),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1128])).
% 2.46/0.67 fof(f1131,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|strict_rel_str(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f231])).
% 2.46/0.67 fof(f1132,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_83),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1131,f1038,f1023,f1128])).
% 2.46/0.67 fof(f1133,plain,(
% 2.46/0.67 spl0_84 <=> transitive(k2_lattice3(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1136,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|transitive(k2_lattice3(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f227])).
% 2.46/0.67 fof(f1137,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_84),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1136,f1038,f1023,f1133])).
% 2.46/0.67 fof(f1138,plain,(
% 2.46/0.67 spl0_85 <=> antisymmetric(k2_lattice3(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1141,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|antisymmetric(k2_lattice3(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f226])).
% 2.46/0.67 fof(f1142,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_85),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1141,f1038,f1023,f1138])).
% 2.46/0.67 fof(f1143,plain,(
% 2.46/0.67 spl0_86 <=> reflexive(k2_lattice3(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1146,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|reflexive(k2_lattice3(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f225])).
% 2.46/0.67 fof(f1147,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_86),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1146,f1038,f1023,f1143])).
% 2.46/0.67 fof(f1148,plain,(
% 2.46/0.67 spl0_87 <=> join_absorbing(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1151,plain,(
% 2.46/0.67 ~latt_str(sk0_9)|empty_carrier(sk0_9)|join_absorbing(sk0_9)),
% 2.46/0.67 inference(resolution,[status(thm)],[f451,f150])).
% 2.46/0.67 fof(f1152,plain,(
% 2.46/0.67 ~spl0_63|spl0_65|spl0_87),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1151,f1023,f1038,f1148])).
% 2.46/0.67 fof(f1163,plain,(
% 2.46/0.67 one_sorted_str(poset_of_lattice(sk0_9))|~spl0_79),
% 2.46/0.67 inference(resolution,[status(thm)],[f1109,f246])).
% 2.46/0.67 fof(f1164,plain,(
% 2.46/0.67 spl0_88 <=> lower_bounded_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1167,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~lattice(sk0_9)|~latt_str(sk0_9)|lower_bounded_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f452,f378])).
% 2.46/0.67 fof(f1168,plain,(
% 2.46/0.67 spl0_65|~spl0_71|~spl0_63|spl0_88),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1167,f1038,f1056,f1023,f1164])).
% 2.46/0.67 fof(f1169,plain,(
% 2.46/0.67 spl0_89 <=> lower_bounded_semilattstr(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1171,plain,(
% 2.46/0.67 ~lower_bounded_semilattstr(sk0_9)|spl0_89),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1169])).
% 2.46/0.67 fof(f1172,plain,(
% 2.46/0.67 spl0_90 <=> bounded_lattstr(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1175,plain,(
% 2.46/0.67 ~latt_str(sk0_9)|empty_carrier(sk0_9)|~lower_bounded_semilattstr(sk0_9)|bounded_lattstr(sk0_9)),
% 2.46/0.67 inference(resolution,[status(thm)],[f453,f171])).
% 2.46/0.67 fof(f1176,plain,(
% 2.46/0.67 ~spl0_63|spl0_65|~spl0_89|spl0_90),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1175,f1023,f1038,f1169,f1172])).
% 2.46/0.67 fof(f1177,plain,(
% 2.46/0.67 spl0_91 <=> upper_bounded_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1178,plain,(
% 2.46/0.67 upper_bounded_relstr(poset_of_lattice(sk0_9))|~spl0_91),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1177])).
% 2.46/0.67 fof(f1180,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~lattice(sk0_9)|~latt_str(sk0_9)|upper_bounded_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f453,f343])).
% 2.46/0.67 fof(f1181,plain,(
% 2.46/0.67 spl0_65|~spl0_71|~spl0_63|spl0_91),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1180,f1038,f1056,f1023,f1177])).
% 2.46/0.67 fof(f1182,plain,(
% 2.46/0.67 $false|spl0_89),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1171,f452])).
% 2.46/0.67 fof(f1183,plain,(
% 2.46/0.67 spl0_89),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1182])).
% 2.46/0.67 fof(f1184,plain,(
% 2.46/0.67 spl0_92 <=> upper_bounded_semilattstr(sk0_9)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1187,plain,(
% 2.46/0.67 ~latt_str(sk0_9)|empty_carrier(sk0_9)|upper_bounded_semilattstr(sk0_9)),
% 2.46/0.67 inference(resolution,[status(thm)],[f454,f178])).
% 2.46/0.67 fof(f1188,plain,(
% 2.46/0.67 ~spl0_63|spl0_65|spl0_92),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1187,f1023,f1038,f1184])).
% 2.46/0.67 fof(f1191,plain,(
% 2.46/0.67 join_semilatt_str(sk0_10)),
% 2.46/0.67 inference(resolution,[status(thm)],[f456,f251])).
% 2.46/0.67 fof(f1193,plain,(
% 2.46/0.67 spl0_93 <=> latt_str(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1195,plain,(
% 2.46/0.67 ~latt_str(sk0_10)|spl0_93),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1193])).
% 2.46/0.67 fof(f1196,plain,(
% 2.46/0.67 spl0_94 <=> sk0_10=latt_str_of(the_carrier(sk0_10),the_L_join(sk0_10),the_L_meet(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1199,plain,(
% 2.46/0.67 ~latt_str(sk0_10)|sk0_10=latt_str_of(the_carrier(sk0_10),the_L_join(sk0_10),the_L_meet(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f458,f126])).
% 2.46/0.67 fof(f1200,plain,(
% 2.46/0.67 ~spl0_93|spl0_94),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1199,f1193,f1196])).
% 2.46/0.67 fof(f1201,plain,(
% 2.46/0.67 $false|spl0_93),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1195,f456])).
% 2.46/0.67 fof(f1202,plain,(
% 2.46/0.67 spl0_93),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1201])).
% 2.46/0.67 fof(f1203,plain,(
% 2.46/0.67 spl0_95 <=> empty_carrier(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1204,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~spl0_95),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1203])).
% 2.46/0.67 fof(f1206,plain,(
% 2.46/0.67 spl0_96 <=> join_commutative(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1208,plain,(
% 2.46/0.67 ~join_commutative(sk0_10)|spl0_96),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1206])).
% 2.46/0.67 fof(f1209,plain,(
% 2.46/0.67 spl0_97 <=> join_associative(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1211,plain,(
% 2.46/0.67 ~join_associative(sk0_10)|spl0_97),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1209])).
% 2.46/0.67 fof(f1212,plain,(
% 2.46/0.67 spl0_98 <=> meet_commutative(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1214,plain,(
% 2.46/0.67 ~meet_commutative(sk0_10)|spl0_98),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1212])).
% 2.46/0.67 fof(f1215,plain,(
% 2.46/0.67 spl0_99 <=> meet_associative(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1217,plain,(
% 2.46/0.67 ~meet_associative(sk0_10)|spl0_99),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1215])).
% 2.46/0.67 fof(f1218,plain,(
% 2.46/0.67 spl0_100 <=> meet_absorbing(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1220,plain,(
% 2.46/0.67 ~meet_absorbing(sk0_10)|spl0_100),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1218])).
% 2.46/0.67 fof(f1221,plain,(
% 2.46/0.67 spl0_101 <=> lattice(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1224,plain,(
% 2.46/0.67 ~latt_str(sk0_10)|empty_carrier(sk0_10)|~join_commutative(sk0_10)|~join_associative(sk0_10)|~meet_commutative(sk0_10)|~meet_associative(sk0_10)|~meet_absorbing(sk0_10)|lattice(sk0_10)),
% 2.46/0.67 inference(resolution,[status(thm)],[f464,f162])).
% 2.46/0.67 fof(f1225,plain,(
% 2.46/0.67 ~spl0_93|spl0_95|~spl0_96|~spl0_97|~spl0_98|~spl0_99|~spl0_100|spl0_101),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1224,f1193,f1203,f1206,f1209,f1212,f1215,f1218,f1221])).
% 2.46/0.67 fof(f1226,plain,(
% 2.46/0.67 $false|spl0_100),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1220,f463])).
% 2.46/0.67 fof(f1227,plain,(
% 2.46/0.67 spl0_100),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1226])).
% 2.46/0.67 fof(f1228,plain,(
% 2.46/0.67 $false|spl0_99),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1217,f462])).
% 2.46/0.67 fof(f1229,plain,(
% 2.46/0.67 spl0_99),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1228])).
% 2.46/0.67 fof(f1230,plain,(
% 2.46/0.67 $false|spl0_98),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1214,f461])).
% 2.46/0.67 fof(f1231,plain,(
% 2.46/0.67 spl0_98),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1230])).
% 2.46/0.67 fof(f1232,plain,(
% 2.46/0.67 $false|spl0_97),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1211,f460])).
% 2.46/0.67 fof(f1233,plain,(
% 2.46/0.67 spl0_97),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1232])).
% 2.46/0.67 fof(f1234,plain,(
% 2.46/0.67 $false|spl0_96),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1208,f459])).
% 2.46/0.67 fof(f1235,plain,(
% 2.46/0.67 spl0_96),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1234])).
% 2.46/0.67 fof(f1236,plain,(
% 2.46/0.67 $false|~spl0_95),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1204,f457])).
% 2.46/0.67 fof(f1237,plain,(
% 2.46/0.67 ~spl0_95),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1236])).
% 2.46/0.67 fof(f1238,plain,(
% 2.46/0.67 spl0_102 <=> relation_of2_as_subset(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1241,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|relation_of2_as_subset(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f229])).
% 2.46/0.67 fof(f1242,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_102),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1241,f1203,f1193,f1238])).
% 2.46/0.67 fof(f1243,plain,(
% 2.46/0.67 spl0_103 <=> v1_partfun1(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1246,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|v1_partfun1(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f228])).
% 2.46/0.67 fof(f1247,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_103),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1246,f1203,f1193,f1243])).
% 2.46/0.67 fof(f1248,plain,(
% 2.46/0.67 spl0_104 <=> poset_of_lattice(sk0_10)=rel_str_of(the_carrier(sk0_10),k2_lattice3(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1251,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|poset_of_lattice(sk0_10)=rel_str_of(the_carrier(sk0_10),k2_lattice3(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f206])).
% 2.46/0.67 fof(f1252,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_104),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1251,f1203,f1193,f1248])).
% 2.46/0.67 fof(f1253,plain,(
% 2.46/0.67 spl0_105 <=> k2_lattice3(sk0_10)=relation_of_lattice(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1256,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|k2_lattice3(sk0_10)=relation_of_lattice(sk0_10)),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f579])).
% 2.46/0.67 fof(f1257,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_105),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1256,f1203,f1193,f1253])).
% 2.46/0.67 fof(f1258,plain,(
% 2.46/0.67 spl0_106 <=> with_infima_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1261,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|with_infima_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f319])).
% 2.46/0.67 fof(f1262,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_106),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1261,f1203,f1193,f1258])).
% 2.46/0.67 fof(f1263,plain,(
% 2.46/0.67 spl0_107 <=> with_suprema_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1266,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|with_suprema_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f318])).
% 2.46/0.67 fof(f1267,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_107),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1266,f1203,f1193,f1263])).
% 2.46/0.67 fof(f1268,plain,(
% 2.46/0.67 spl0_108 <=> relation(relation_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1271,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|relation(relation_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f242])).
% 2.46/0.67 fof(f1272,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_108),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1271,f1203,f1193,f1268])).
% 2.46/0.67 fof(f1273,plain,(
% 2.46/0.67 spl0_109 <=> rel_str(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1274,plain,(
% 2.46/0.67 rel_str(poset_of_lattice(sk0_10))|~spl0_109),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1273])).
% 2.46/0.67 fof(f1276,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|rel_str(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f235])).
% 2.46/0.67 fof(f1277,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_109),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1276,f1203,f1193,f1273])).
% 2.46/0.67 fof(f1278,plain,(
% 2.46/0.67 spl0_110 <=> antisymmetric_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1279,plain,(
% 2.46/0.67 antisymmetric_relstr(poset_of_lattice(sk0_10))|~spl0_110),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1278])).
% 2.46/0.67 fof(f1281,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|antisymmetric_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f234])).
% 2.46/0.67 fof(f1282,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_110),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1281,f1203,f1193,f1278])).
% 2.46/0.67 fof(f1283,plain,(
% 2.46/0.67 spl0_111 <=> transitive_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1286,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|transitive_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f233])).
% 2.46/0.67 fof(f1287,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_111),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1286,f1203,f1193,f1283])).
% 2.46/0.67 fof(f1288,plain,(
% 2.46/0.67 spl0_112 <=> reflexive_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1289,plain,(
% 2.46/0.67 reflexive_relstr(poset_of_lattice(sk0_10))|~spl0_112),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1288])).
% 2.46/0.67 fof(f1291,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|reflexive_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f232])).
% 2.46/0.67 fof(f1292,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_112),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1291,f1203,f1193,f1288])).
% 2.46/0.67 fof(f1293,plain,(
% 2.46/0.67 spl0_113 <=> strict_rel_str(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1294,plain,(
% 2.46/0.67 strict_rel_str(poset_of_lattice(sk0_10))|~spl0_113),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1293])).
% 2.46/0.67 fof(f1296,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|strict_rel_str(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f231])).
% 2.46/0.67 fof(f1297,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_113),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1296,f1203,f1193,f1293])).
% 2.46/0.67 fof(f1298,plain,(
% 2.46/0.67 spl0_114 <=> transitive(k2_lattice3(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1301,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|transitive(k2_lattice3(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f227])).
% 2.46/0.67 fof(f1302,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_114),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1301,f1203,f1193,f1298])).
% 2.46/0.67 fof(f1303,plain,(
% 2.46/0.67 spl0_115 <=> antisymmetric(k2_lattice3(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1306,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|antisymmetric(k2_lattice3(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f226])).
% 2.46/0.67 fof(f1307,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_115),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1306,f1203,f1193,f1303])).
% 2.46/0.67 fof(f1308,plain,(
% 2.46/0.67 spl0_116 <=> reflexive(k2_lattice3(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1311,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|reflexive(k2_lattice3(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f225])).
% 2.46/0.67 fof(f1312,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_116),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1311,f1203,f1193,f1308])).
% 2.46/0.67 fof(f1313,plain,(
% 2.46/0.67 spl0_117 <=> join_absorbing(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1316,plain,(
% 2.46/0.67 ~latt_str(sk0_10)|empty_carrier(sk0_10)|join_absorbing(sk0_10)),
% 2.46/0.67 inference(resolution,[status(thm)],[f465,f150])).
% 2.46/0.67 fof(f1317,plain,(
% 2.46/0.67 ~spl0_93|spl0_95|spl0_117),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1316,f1193,f1203,f1313])).
% 2.46/0.67 fof(f1328,plain,(
% 2.46/0.67 one_sorted_str(poset_of_lattice(sk0_10))|~spl0_109),
% 2.46/0.67 inference(resolution,[status(thm)],[f1274,f246])).
% 2.46/0.67 fof(f1329,plain,(
% 2.46/0.67 spl0_118 <=> lower_bounded_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1332,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~lattice(sk0_10)|~latt_str(sk0_10)|lower_bounded_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f466,f378])).
% 2.46/0.67 fof(f1333,plain,(
% 2.46/0.67 spl0_95|~spl0_101|~spl0_93|spl0_118),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1332,f1203,f1221,f1193,f1329])).
% 2.46/0.67 fof(f1334,plain,(
% 2.46/0.67 spl0_119 <=> lower_bounded_semilattstr(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1336,plain,(
% 2.46/0.67 ~lower_bounded_semilattstr(sk0_10)|spl0_119),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1334])).
% 2.46/0.67 fof(f1337,plain,(
% 2.46/0.67 spl0_120 <=> bounded_lattstr(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1340,plain,(
% 2.46/0.67 ~latt_str(sk0_10)|empty_carrier(sk0_10)|~lower_bounded_semilattstr(sk0_10)|bounded_lattstr(sk0_10)),
% 2.46/0.67 inference(resolution,[status(thm)],[f467,f171])).
% 2.46/0.67 fof(f1341,plain,(
% 2.46/0.67 ~spl0_93|spl0_95|~spl0_119|spl0_120),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1340,f1193,f1203,f1334,f1337])).
% 2.46/0.67 fof(f1342,plain,(
% 2.46/0.67 spl0_121 <=> upper_bounded_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1343,plain,(
% 2.46/0.67 upper_bounded_relstr(poset_of_lattice(sk0_10))|~spl0_121),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1342])).
% 2.46/0.67 fof(f1345,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~lattice(sk0_10)|~latt_str(sk0_10)|upper_bounded_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f467,f343])).
% 2.46/0.67 fof(f1346,plain,(
% 2.46/0.67 spl0_95|~spl0_101|~spl0_93|spl0_121),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1345,f1203,f1221,f1193,f1342])).
% 2.46/0.67 fof(f1347,plain,(
% 2.46/0.67 $false|spl0_119),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1336,f466])).
% 2.46/0.67 fof(f1348,plain,(
% 2.46/0.67 spl0_119),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1347])).
% 2.46/0.67 fof(f1349,plain,(
% 2.46/0.67 spl0_122 <=> upper_bounded_semilattstr(sk0_10)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1352,plain,(
% 2.46/0.67 ~latt_str(sk0_10)|empty_carrier(sk0_10)|upper_bounded_semilattstr(sk0_10)),
% 2.46/0.67 inference(resolution,[status(thm)],[f468,f178])).
% 2.46/0.67 fof(f1353,plain,(
% 2.46/0.67 ~spl0_93|spl0_95|spl0_122),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1352,f1193,f1203,f1349])).
% 2.46/0.67 fof(f1364,plain,(
% 2.46/0.67 join_semilatt_str(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f471,f251])).
% 2.46/0.67 fof(f1366,plain,(
% 2.46/0.67 spl0_125 <=> latt_str(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1368,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|spl0_125),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1366])).
% 2.46/0.67 fof(f1369,plain,(
% 2.46/0.67 spl0_126 <=> sk0_11=latt_str_of(the_carrier(sk0_11),the_L_join(sk0_11),the_L_meet(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1372,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|sk0_11=latt_str_of(the_carrier(sk0_11),the_L_join(sk0_11),the_L_meet(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f473,f126])).
% 2.46/0.67 fof(f1373,plain,(
% 2.46/0.67 ~spl0_125|spl0_126),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1372,f1366,f1369])).
% 2.46/0.67 fof(f1374,plain,(
% 2.46/0.67 $false|spl0_125),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1368,f471])).
% 2.46/0.67 fof(f1375,plain,(
% 2.46/0.67 spl0_125),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1374])).
% 2.46/0.67 fof(f1376,plain,(
% 2.46/0.67 spl0_127 <=> empty_carrier(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1377,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~spl0_127),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1376])).
% 2.46/0.67 fof(f1379,plain,(
% 2.46/0.67 spl0_128 <=> join_commutative(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1381,plain,(
% 2.46/0.67 ~join_commutative(sk0_11)|spl0_128),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1379])).
% 2.46/0.67 fof(f1382,plain,(
% 2.46/0.67 spl0_129 <=> join_associative(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1384,plain,(
% 2.46/0.67 ~join_associative(sk0_11)|spl0_129),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1382])).
% 2.46/0.67 fof(f1385,plain,(
% 2.46/0.67 spl0_130 <=> meet_commutative(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1387,plain,(
% 2.46/0.67 ~meet_commutative(sk0_11)|spl0_130),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1385])).
% 2.46/0.67 fof(f1388,plain,(
% 2.46/0.67 spl0_131 <=> meet_associative(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1390,plain,(
% 2.46/0.67 ~meet_associative(sk0_11)|spl0_131),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1388])).
% 2.46/0.67 fof(f1391,plain,(
% 2.46/0.67 spl0_132 <=> meet_absorbing(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1393,plain,(
% 2.46/0.67 ~meet_absorbing(sk0_11)|spl0_132),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1391])).
% 2.46/0.67 fof(f1394,plain,(
% 2.46/0.67 spl0_133 <=> lattice(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1397,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|empty_carrier(sk0_11)|~join_commutative(sk0_11)|~join_associative(sk0_11)|~meet_commutative(sk0_11)|~meet_associative(sk0_11)|~meet_absorbing(sk0_11)|lattice(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f479,f162])).
% 2.46/0.67 fof(f1398,plain,(
% 2.46/0.67 ~spl0_125|spl0_127|~spl0_128|~spl0_129|~spl0_130|~spl0_131|~spl0_132|spl0_133),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1397,f1366,f1376,f1379,f1382,f1385,f1388,f1391,f1394])).
% 2.46/0.67 fof(f1399,plain,(
% 2.46/0.67 $false|spl0_132),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1393,f478])).
% 2.46/0.67 fof(f1400,plain,(
% 2.46/0.67 spl0_132),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1399])).
% 2.46/0.67 fof(f1401,plain,(
% 2.46/0.67 $false|spl0_131),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1390,f477])).
% 2.46/0.67 fof(f1402,plain,(
% 2.46/0.67 spl0_131),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1401])).
% 2.46/0.67 fof(f1403,plain,(
% 2.46/0.67 $false|spl0_130),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1387,f476])).
% 2.46/0.67 fof(f1404,plain,(
% 2.46/0.67 spl0_130),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1403])).
% 2.46/0.67 fof(f1405,plain,(
% 2.46/0.67 $false|spl0_129),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1384,f475])).
% 2.46/0.67 fof(f1406,plain,(
% 2.46/0.67 spl0_129),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1405])).
% 2.46/0.67 fof(f1407,plain,(
% 2.46/0.67 $false|spl0_128),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1381,f474])).
% 2.46/0.67 fof(f1408,plain,(
% 2.46/0.67 spl0_128),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1407])).
% 2.46/0.67 fof(f1409,plain,(
% 2.46/0.67 $false|~spl0_127),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1377,f472])).
% 2.46/0.67 fof(f1410,plain,(
% 2.46/0.67 ~spl0_127),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1409])).
% 2.46/0.67 fof(f1411,plain,(
% 2.46/0.67 spl0_134 <=> relation_of2_as_subset(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1414,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|relation_of2_as_subset(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f229])).
% 2.46/0.67 fof(f1415,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_134),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1414,f1376,f1366,f1411])).
% 2.46/0.67 fof(f1416,plain,(
% 2.46/0.67 spl0_135 <=> v1_partfun1(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1419,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|v1_partfun1(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f228])).
% 2.46/0.67 fof(f1420,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_135),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1419,f1376,f1366,f1416])).
% 2.46/0.67 fof(f1421,plain,(
% 2.46/0.67 spl0_136 <=> poset_of_lattice(sk0_11)=rel_str_of(the_carrier(sk0_11),k2_lattice3(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1424,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|poset_of_lattice(sk0_11)=rel_str_of(the_carrier(sk0_11),k2_lattice3(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f206])).
% 2.46/0.67 fof(f1425,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_136),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1424,f1376,f1366,f1421])).
% 2.46/0.67 fof(f1426,plain,(
% 2.46/0.67 spl0_137 <=> k2_lattice3(sk0_11)=relation_of_lattice(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1429,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|k2_lattice3(sk0_11)=relation_of_lattice(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f579])).
% 2.46/0.67 fof(f1430,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_137),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1429,f1376,f1366,f1426])).
% 2.46/0.67 fof(f1431,plain,(
% 2.46/0.67 spl0_138 <=> with_infima_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1434,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|with_infima_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f319])).
% 2.46/0.67 fof(f1435,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_138),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1434,f1376,f1366,f1431])).
% 2.46/0.67 fof(f1436,plain,(
% 2.46/0.67 spl0_139 <=> with_suprema_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1439,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|with_suprema_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f318])).
% 2.46/0.67 fof(f1440,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_139),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1439,f1376,f1366,f1436])).
% 2.46/0.67 fof(f1441,plain,(
% 2.46/0.67 spl0_140 <=> relation(relation_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1444,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|relation(relation_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f242])).
% 2.46/0.67 fof(f1445,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_140),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1444,f1376,f1366,f1441])).
% 2.46/0.67 fof(f1446,plain,(
% 2.46/0.67 spl0_141 <=> rel_str(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1447,plain,(
% 2.46/0.67 rel_str(poset_of_lattice(sk0_11))|~spl0_141),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1446])).
% 2.46/0.67 fof(f1449,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|rel_str(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f235])).
% 2.46/0.67 fof(f1450,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_141),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1449,f1376,f1366,f1446])).
% 2.46/0.67 fof(f1451,plain,(
% 2.46/0.67 spl0_142 <=> antisymmetric_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1452,plain,(
% 2.46/0.67 antisymmetric_relstr(poset_of_lattice(sk0_11))|~spl0_142),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1451])).
% 2.46/0.67 fof(f1454,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|antisymmetric_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f234])).
% 2.46/0.67 fof(f1455,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_142),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1454,f1376,f1366,f1451])).
% 2.46/0.67 fof(f1456,plain,(
% 2.46/0.67 spl0_143 <=> transitive_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1459,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|transitive_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f233])).
% 2.46/0.67 fof(f1460,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_143),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1459,f1376,f1366,f1456])).
% 2.46/0.67 fof(f1461,plain,(
% 2.46/0.67 spl0_144 <=> reflexive_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1462,plain,(
% 2.46/0.67 reflexive_relstr(poset_of_lattice(sk0_11))|~spl0_144),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1461])).
% 2.46/0.67 fof(f1464,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|reflexive_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f232])).
% 2.46/0.67 fof(f1465,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_144),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1464,f1376,f1366,f1461])).
% 2.46/0.67 fof(f1466,plain,(
% 2.46/0.67 spl0_145 <=> strict_rel_str(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1467,plain,(
% 2.46/0.67 strict_rel_str(poset_of_lattice(sk0_11))|~spl0_145),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1466])).
% 2.46/0.67 fof(f1469,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|strict_rel_str(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f231])).
% 2.46/0.67 fof(f1470,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_145),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1469,f1376,f1366,f1466])).
% 2.46/0.67 fof(f1471,plain,(
% 2.46/0.67 spl0_146 <=> transitive(k2_lattice3(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1474,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|transitive(k2_lattice3(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f227])).
% 2.46/0.67 fof(f1475,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_146),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1474,f1376,f1366,f1471])).
% 2.46/0.67 fof(f1476,plain,(
% 2.46/0.67 spl0_147 <=> antisymmetric(k2_lattice3(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1479,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|antisymmetric(k2_lattice3(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f226])).
% 2.46/0.67 fof(f1480,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_147),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1479,f1376,f1366,f1476])).
% 2.46/0.67 fof(f1481,plain,(
% 2.46/0.67 spl0_148 <=> reflexive(k2_lattice3(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1484,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|reflexive(k2_lattice3(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f225])).
% 2.46/0.67 fof(f1485,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_148),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1484,f1376,f1366,f1481])).
% 2.46/0.67 fof(f1486,plain,(
% 2.46/0.67 spl0_149 <=> join_absorbing(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1489,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|empty_carrier(sk0_11)|join_absorbing(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f480,f150])).
% 2.46/0.67 fof(f1490,plain,(
% 2.46/0.67 ~spl0_125|spl0_127|spl0_149),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1489,f1366,f1376,f1486])).
% 2.46/0.67 fof(f1501,plain,(
% 2.46/0.67 one_sorted_str(poset_of_lattice(sk0_11))|~spl0_141),
% 2.46/0.67 inference(resolution,[status(thm)],[f1447,f246])).
% 2.46/0.67 fof(f1502,plain,(
% 2.46/0.67 spl0_150 <=> modular_lattstr(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1505,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|empty_carrier(sk0_11)|~lattice(sk0_11)|modular_lattstr(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f481,f203])).
% 2.46/0.67 fof(f1506,plain,(
% 2.46/0.67 ~spl0_125|spl0_127|~spl0_133|spl0_150),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1505,f1366,f1376,f1394,f1502])).
% 2.46/0.67 fof(f1507,plain,(
% 2.46/0.67 spl0_151 <=> lower_bounded_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1510,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~lattice(sk0_11)|~latt_str(sk0_11)|lower_bounded_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f482,f378])).
% 2.46/0.67 fof(f1511,plain,(
% 2.46/0.67 spl0_127|~spl0_133|~spl0_125|spl0_151),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1510,f1376,f1394,f1366,f1507])).
% 2.46/0.67 fof(f1512,plain,(
% 2.46/0.67 spl0_152 <=> lower_bounded_semilattstr(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1514,plain,(
% 2.46/0.67 ~lower_bounded_semilattstr(sk0_11)|spl0_152),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1512])).
% 2.46/0.67 fof(f1515,plain,(
% 2.46/0.67 spl0_153 <=> bounded_lattstr(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1520,plain,(
% 2.46/0.67 spl0_154 <=> upper_bounded_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1521,plain,(
% 2.46/0.67 upper_bounded_relstr(poset_of_lattice(sk0_11))|~spl0_154),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1520])).
% 2.46/0.67 fof(f1523,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~lattice(sk0_11)|~latt_str(sk0_11)|upper_bounded_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f483,f343])).
% 2.46/0.67 fof(f1524,plain,(
% 2.46/0.67 spl0_127|~spl0_133|~spl0_125|spl0_154),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1523,f1376,f1394,f1366,f1520])).
% 2.46/0.67 fof(f1525,plain,(
% 2.46/0.67 $false|spl0_152),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1514,f482])).
% 2.46/0.67 fof(f1526,plain,(
% 2.46/0.67 spl0_152),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1525])).
% 2.46/0.67 fof(f1543,plain,(
% 2.46/0.67 ![X0]: (relation_of2_as_subset(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f259,f238])).
% 2.46/0.67 fof(f1544,plain,(
% 2.46/0.67 ![X0]: (element(the_InternalRel(boole_POSet(X0)),powerset(cartesian_product2(the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1543,f253])).
% 2.46/0.67 fof(f1545,plain,(
% 2.46/0.67 ![X0]: (relation_of2(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1543,f582])).
% 2.46/0.67 fof(f1551,plain,(
% 2.46/0.67 spl0_155 <=> upper_bounded_semilattstr(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1554,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|empty_carrier(sk0_11)|upper_bounded_semilattstr(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f484,f178])).
% 2.46/0.67 fof(f1555,plain,(
% 2.46/0.67 ~spl0_125|spl0_127|spl0_155),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1554,f1366,f1376,f1551])).
% 2.46/0.67 fof(f1558,plain,(
% 2.46/0.67 spl0_156 <=> distributive_lattstr(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1560,plain,(
% 2.46/0.67 ~distributive_lattstr(sk0_11)|spl0_156),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1558])).
% 2.46/0.67 fof(f1561,plain,(
% 2.46/0.67 spl0_157 <=> boolean_lattstr(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1564,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|empty_carrier(sk0_11)|~distributive_lattstr(sk0_11)|~bounded_lattstr(sk0_11)|boolean_lattstr(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f485,f193])).
% 2.46/0.67 fof(f1565,plain,(
% 2.46/0.67 ~spl0_125|spl0_127|~spl0_156|~spl0_153|spl0_157),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1564,f1366,f1376,f1558,f1515,f1561])).
% 2.46/0.67 fof(f1566,plain,(
% 2.46/0.67 $false|spl0_156),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1560,f481])).
% 2.46/0.67 fof(f1567,plain,(
% 2.46/0.67 spl0_156),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1566])).
% 2.46/0.67 fof(f1568,plain,(
% 2.46/0.67 spl0_158 <=> complemented_lattstr(sk0_11)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1571,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|empty_carrier(sk0_11)|complemented_lattstr(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f486,f188])).
% 2.46/0.67 fof(f1572,plain,(
% 2.46/0.67 ~spl0_125|spl0_127|spl0_158),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1571,f1366,f1376,f1568])).
% 2.46/0.67 fof(f1573,plain,(
% 2.46/0.67 ~latt_str(sk0_11)|empty_carrier(sk0_11)|bounded_lattstr(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f486,f187])).
% 2.46/0.67 fof(f1574,plain,(
% 2.46/0.67 ~spl0_125|spl0_127|spl0_153),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1573,f1366,f1376,f1515])).
% 2.46/0.67 fof(f1581,plain,(
% 2.46/0.67 spl0_159 <=> rel_str(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1583,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|spl0_159),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1581])).
% 2.46/0.67 fof(f1584,plain,(
% 2.46/0.67 spl0_160 <=> sk0_12=rel_str_of(the_carrier(sk0_12),the_InternalRel(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1587,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|sk0_12=rel_str_of(the_carrier(sk0_12),the_InternalRel(sk0_12))),
% 2.46/0.67 inference(resolution,[status(thm)],[f490,f124])).
% 2.46/0.67 fof(f1588,plain,(
% 2.46/0.67 ~spl0_159|spl0_160),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1587,f1581,f1584])).
% 2.46/0.67 fof(f1589,plain,(
% 2.46/0.67 $false|spl0_159),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1583,f488])).
% 2.46/0.67 fof(f1590,plain,(
% 2.46/0.67 spl0_159),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1589])).
% 2.46/0.67 fof(f1591,plain,(
% 2.46/0.67 spl0_161 <=> empty_carrier(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1592,plain,(
% 2.46/0.67 empty_carrier(sk0_12)|~spl0_161),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1591])).
% 2.46/0.67 fof(f1594,plain,(
% 2.46/0.67 spl0_162 <=> bounded_relstr(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1595,plain,(
% 2.46/0.67 bounded_relstr(sk0_12)|~spl0_162),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1594])).
% 2.46/0.67 fof(f1597,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|empty_carrier(sk0_12)|bounded_relstr(sk0_12)),
% 2.46/0.67 inference(resolution,[status(thm)],[f494,f174])).
% 2.46/0.67 fof(f1598,plain,(
% 2.46/0.67 ~spl0_159|spl0_161|spl0_162),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1597,f1581,f1591,f1594])).
% 2.46/0.67 fof(f1599,plain,(
% 2.46/0.67 spl0_163 <=> with_infima_relstr(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1602,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|empty_carrier(sk0_12)|with_infima_relstr(sk0_12)),
% 2.46/0.67 inference(resolution,[status(thm)],[f494,f157])).
% 2.46/0.67 fof(f1603,plain,(
% 2.46/0.67 ~spl0_159|spl0_161|spl0_163),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1602,f1581,f1591,f1599])).
% 2.46/0.67 fof(f1604,plain,(
% 2.46/0.67 spl0_164 <=> with_suprema_relstr(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1607,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|empty_carrier(sk0_12)|with_suprema_relstr(sk0_12)),
% 2.46/0.67 inference(resolution,[status(thm)],[f494,f156])).
% 2.46/0.67 fof(f1608,plain,(
% 2.46/0.67 ~spl0_159|spl0_161|spl0_164),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1607,f1581,f1591,f1604])).
% 2.46/0.67 fof(f1609,plain,(
% 2.46/0.67 $false|~spl0_161),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1592,f489])).
% 2.46/0.67 fof(f1610,plain,(
% 2.46/0.67 ~spl0_161),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1609])).
% 2.46/0.67 fof(f1611,plain,(
% 2.46/0.67 spl0_165 <=> rel_str(sk0_13)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1613,plain,(
% 2.46/0.67 ~rel_str(sk0_13)|spl0_165),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1611])).
% 2.46/0.67 fof(f1614,plain,(
% 2.46/0.67 spl0_166 <=> sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1617,plain,(
% 2.46/0.67 ~rel_str(sk0_13)|sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 2.46/0.67 inference(resolution,[status(thm)],[f497,f124])).
% 2.46/0.67 fof(f1618,plain,(
% 2.46/0.67 ~spl0_165|spl0_166),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1617,f1611,f1614])).
% 2.46/0.67 fof(f1619,plain,(
% 2.46/0.67 $false|spl0_165),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1613,f496])).
% 2.46/0.67 fof(f1620,plain,(
% 2.46/0.67 spl0_165),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1619])).
% 2.46/0.67 fof(f1625,plain,(
% 2.46/0.67 spl0_167 <=> rel_str(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1627,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|spl0_167),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1625])).
% 2.46/0.67 fof(f1628,plain,(
% 2.46/0.67 spl0_168 <=> sk0_16=rel_str_of(the_carrier(sk0_16),the_InternalRel(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1631,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|sk0_16=rel_str_of(the_carrier(sk0_16),the_InternalRel(sk0_16))),
% 2.46/0.67 inference(resolution,[status(thm)],[f507,f124])).
% 2.46/0.67 fof(f1632,plain,(
% 2.46/0.67 ~spl0_167|spl0_168),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1631,f1625,f1628])).
% 2.46/0.67 fof(f1633,plain,(
% 2.46/0.67 $false|spl0_167),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1627,f505])).
% 2.46/0.67 fof(f1634,plain,(
% 2.46/0.67 spl0_167),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1633])).
% 2.46/0.67 fof(f1635,plain,(
% 2.46/0.67 spl0_169 <=> empty_carrier(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1638,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|~empty_carrier(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f511,f142])).
% 2.46/0.67 fof(f1639,plain,(
% 2.46/0.67 ~spl0_167|~spl0_169),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1638,f1625,f1635])).
% 2.46/0.67 fof(f1642,plain,(
% 2.46/0.67 spl0_170 <=> bounded_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1643,plain,(
% 2.46/0.67 bounded_relstr(sk0_16)|~spl0_170),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1642])).
% 2.46/0.67 fof(f1645,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|empty_carrier(sk0_16)|bounded_relstr(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f513,f174])).
% 2.46/0.67 fof(f1646,plain,(
% 2.46/0.67 ~spl0_167|spl0_169|spl0_170),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1645,f1625,f1635,f1642])).
% 2.46/0.67 fof(f1647,plain,(
% 2.46/0.67 spl0_171 <=> with_infima_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1650,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|empty_carrier(sk0_16)|with_infima_relstr(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f513,f157])).
% 2.46/0.67 fof(f1651,plain,(
% 2.46/0.67 ~spl0_167|spl0_169|spl0_171),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1650,f1625,f1635,f1647])).
% 2.46/0.67 fof(f1652,plain,(
% 2.46/0.67 spl0_172 <=> with_suprema_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1655,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|empty_carrier(sk0_16)|with_suprema_relstr(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f513,f156])).
% 2.46/0.67 fof(f1656,plain,(
% 2.46/0.67 ~spl0_167|spl0_169|spl0_172),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1655,f1625,f1635,f1652])).
% 2.46/0.67 fof(f1657,plain,(
% 2.46/0.67 spl0_173 <=> reflexive_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1659,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_16)|spl0_173),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1657])).
% 2.46/0.67 fof(f1660,plain,(
% 2.46/0.67 spl0_174 <=> complete_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1663,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|empty_carrier(sk0_16)|~reflexive_relstr(sk0_16)|complete_relstr(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f514,f168])).
% 2.46/0.67 fof(f1664,plain,(
% 2.46/0.67 ~spl0_167|spl0_169|~spl0_173|spl0_174),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1663,f1625,f1635,f1657,f1660])).
% 2.46/0.67 fof(f1665,plain,(
% 2.46/0.67 spl0_175 <=> antisymmetric_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1668,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|empty_carrier(sk0_16)|~reflexive_relstr(sk0_16)|antisymmetric_relstr(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f514,f167])).
% 2.46/0.67 fof(f1669,plain,(
% 2.46/0.67 ~spl0_167|spl0_169|~spl0_173|spl0_175),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1668,f1625,f1635,f1657,f1665])).
% 2.46/0.67 fof(f1670,plain,(
% 2.46/0.67 spl0_176 <=> transitive_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1673,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|empty_carrier(sk0_16)|~reflexive_relstr(sk0_16)|transitive_relstr(sk0_16)),
% 2.46/0.67 inference(resolution,[status(thm)],[f514,f166])).
% 2.46/0.67 fof(f1674,plain,(
% 2.46/0.67 ~spl0_167|spl0_169|~spl0_173|spl0_176),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1673,f1625,f1635,f1657,f1670])).
% 2.46/0.67 fof(f1675,plain,(
% 2.46/0.67 $false|spl0_173),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1659,f508])).
% 2.46/0.67 fof(f1676,plain,(
% 2.46/0.67 spl0_173),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1675])).
% 2.46/0.67 fof(f1677,plain,(
% 2.46/0.67 spl0_177 <=> rel_str(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1679,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|spl0_177),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1677])).
% 2.46/0.67 fof(f1680,plain,(
% 2.46/0.67 spl0_178 <=> sk0_17=rel_str_of(the_carrier(sk0_17),the_InternalRel(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1683,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|sk0_17=rel_str_of(the_carrier(sk0_17),the_InternalRel(sk0_17))),
% 2.46/0.67 inference(resolution,[status(thm)],[f518,f124])).
% 2.46/0.67 fof(f1684,plain,(
% 2.46/0.67 ~spl0_177|spl0_178),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1683,f1677,f1680])).
% 2.46/0.67 fof(f1685,plain,(
% 2.46/0.67 $false|spl0_177),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1679,f516])).
% 2.46/0.67 fof(f1686,plain,(
% 2.46/0.67 spl0_177),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1685])).
% 2.46/0.67 fof(f1687,plain,(
% 2.46/0.67 spl0_179 <=> empty_carrier(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1690,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|~empty_carrier(sk0_17)),
% 2.46/0.67 inference(resolution,[status(thm)],[f522,f142])).
% 2.46/0.67 fof(f1691,plain,(
% 2.46/0.67 ~spl0_177|~spl0_179),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1690,f1677,f1687])).
% 2.46/0.67 fof(f1694,plain,(
% 2.46/0.67 spl0_180 <=> bounded_relstr(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1695,plain,(
% 2.46/0.67 bounded_relstr(sk0_17)|~spl0_180),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1694])).
% 2.46/0.67 fof(f1697,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|empty_carrier(sk0_17)|bounded_relstr(sk0_17)),
% 2.46/0.67 inference(resolution,[status(thm)],[f524,f174])).
% 2.46/0.67 fof(f1698,plain,(
% 2.46/0.67 ~spl0_177|spl0_179|spl0_180),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1697,f1677,f1687,f1694])).
% 2.46/0.67 fof(f1699,plain,(
% 2.46/0.67 spl0_181 <=> with_infima_relstr(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1702,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|empty_carrier(sk0_17)|with_infima_relstr(sk0_17)),
% 2.46/0.67 inference(resolution,[status(thm)],[f524,f157])).
% 2.46/0.67 fof(f1703,plain,(
% 2.46/0.67 ~spl0_177|spl0_179|spl0_181),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1702,f1677,f1687,f1699])).
% 2.46/0.67 fof(f1704,plain,(
% 2.46/0.67 spl0_182 <=> with_suprema_relstr(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1707,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|empty_carrier(sk0_17)|with_suprema_relstr(sk0_17)),
% 2.46/0.67 inference(resolution,[status(thm)],[f524,f156])).
% 2.46/0.67 fof(f1708,plain,(
% 2.46/0.67 ~spl0_177|spl0_179|spl0_182),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1707,f1677,f1687,f1704])).
% 2.46/0.67 fof(f1709,plain,(
% 2.46/0.67 spl0_183 <=> rel_str(sk0_18)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1711,plain,(
% 2.46/0.67 ~rel_str(sk0_18)|spl0_183),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1709])).
% 2.46/0.67 fof(f1712,plain,(
% 2.46/0.67 spl0_184 <=> sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1715,plain,(
% 2.46/0.67 ~rel_str(sk0_18)|sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 2.46/0.67 inference(resolution,[status(thm)],[f528,f124])).
% 2.46/0.67 fof(f1716,plain,(
% 2.46/0.67 ~spl0_183|spl0_184),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1715,f1709,f1712])).
% 2.46/0.67 fof(f1717,plain,(
% 2.46/0.67 $false|spl0_183),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1711,f526])).
% 2.46/0.67 fof(f1718,plain,(
% 2.46/0.67 spl0_183),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1717])).
% 2.46/0.67 fof(f1719,plain,(
% 2.46/0.67 spl0_185 <=> rel_str(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1721,plain,(
% 2.46/0.67 ~rel_str(sk0_22)|spl0_185),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1719])).
% 2.46/0.67 fof(f1722,plain,(
% 2.46/0.67 spl0_186 <=> empty_carrier(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1725,plain,(
% 2.46/0.67 ~rel_str(sk0_22)|~empty_carrier(sk0_22)),
% 2.46/0.67 inference(resolution,[status(thm)],[f547,f142])).
% 2.46/0.67 fof(f1726,plain,(
% 2.46/0.67 ~spl0_185|~spl0_186),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1725,f1719,f1722])).
% 2.46/0.67 fof(f1727,plain,(
% 2.46/0.67 $false|spl0_185),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1721,f542])).
% 2.46/0.67 fof(f1728,plain,(
% 2.46/0.67 spl0_185),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1727])).
% 2.46/0.67 fof(f1731,plain,(
% 2.46/0.67 spl0_187 <=> bounded_relstr(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1734,plain,(
% 2.46/0.67 ~rel_str(sk0_22)|empty_carrier(sk0_22)|bounded_relstr(sk0_22)),
% 2.46/0.67 inference(resolution,[status(thm)],[f549,f174])).
% 2.46/0.67 fof(f1735,plain,(
% 2.46/0.67 ~spl0_185|spl0_186|spl0_187),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1734,f1719,f1722,f1731])).
% 2.46/0.67 fof(f1736,plain,(
% 2.46/0.67 spl0_188 <=> with_infima_relstr(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1739,plain,(
% 2.46/0.67 ~rel_str(sk0_22)|empty_carrier(sk0_22)|with_infima_relstr(sk0_22)),
% 2.46/0.67 inference(resolution,[status(thm)],[f549,f157])).
% 2.46/0.67 fof(f1740,plain,(
% 2.46/0.67 ~spl0_185|spl0_186|spl0_188),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1739,f1719,f1722,f1736])).
% 2.46/0.67 fof(f1741,plain,(
% 2.46/0.67 spl0_189 <=> with_suprema_relstr(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1744,plain,(
% 2.46/0.67 ~rel_str(sk0_22)|empty_carrier(sk0_22)|with_suprema_relstr(sk0_22)),
% 2.46/0.67 inference(resolution,[status(thm)],[f549,f156])).
% 2.46/0.67 fof(f1745,plain,(
% 2.46/0.67 ~spl0_185|spl0_186|spl0_189),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1744,f1719,f1722,f1741])).
% 2.46/0.67 fof(f1746,plain,(
% 2.46/0.67 spl0_190 <=> lower_bounded_relstr(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1748,plain,(
% 2.46/0.67 ~lower_bounded_relstr(sk0_22)|spl0_190),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1746])).
% 2.46/0.67 fof(f1751,plain,(
% 2.46/0.67 $false|spl0_190),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1748,f550])).
% 2.46/0.67 fof(f1752,plain,(
% 2.46/0.67 spl0_190),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1751])).
% 2.46/0.67 fof(f1753,plain,(
% 2.46/0.67 spl0_191 <=> upper_bounded_relstr(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1756,plain,(
% 2.46/0.67 ~rel_str(sk0_22)|upper_bounded_relstr(sk0_22)),
% 2.46/0.67 inference(resolution,[status(thm)],[f552,f181])).
% 2.46/0.67 fof(f1757,plain,(
% 2.46/0.67 ~spl0_185|spl0_191),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1756,f1719,f1753])).
% 2.46/0.67 fof(f1762,plain,(
% 2.46/0.67 spl0_192 <=> latt_str(sk0_23)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1764,plain,(
% 2.46/0.67 ~latt_str(sk0_23)|spl0_192),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1762])).
% 2.46/0.67 fof(f1765,plain,(
% 2.46/0.67 spl0_193 <=> sk0_23=latt_str_of(the_carrier(sk0_23),the_L_join(sk0_23),the_L_meet(sk0_23))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1768,plain,(
% 2.46/0.67 ~latt_str(sk0_23)|sk0_23=latt_str_of(the_carrier(sk0_23),the_L_join(sk0_23),the_L_meet(sk0_23))),
% 2.46/0.67 inference(resolution,[status(thm)],[f555,f126])).
% 2.46/0.67 fof(f1769,plain,(
% 2.46/0.67 ~spl0_192|spl0_193),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1768,f1762,f1765])).
% 2.46/0.67 fof(f1770,plain,(
% 2.46/0.67 $false|spl0_192),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1764,f554])).
% 2.46/0.67 fof(f1771,plain,(
% 2.46/0.67 spl0_192),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1770])).
% 2.46/0.67 fof(f1772,plain,(
% 2.46/0.67 join_semilatt_str(sk0_26)),
% 2.46/0.67 inference(resolution,[status(thm)],[f564,f251])).
% 2.46/0.67 fof(f1774,plain,(
% 2.46/0.67 spl0_194 <=> latt_str(sk0_26)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1776,plain,(
% 2.46/0.67 ~latt_str(sk0_26)|spl0_194),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1774])).
% 2.46/0.67 fof(f1777,plain,(
% 2.46/0.67 spl0_195 <=> sk0_26=latt_str_of(the_carrier(sk0_26),the_L_join(sk0_26),the_L_meet(sk0_26))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1780,plain,(
% 2.46/0.67 ~latt_str(sk0_26)|sk0_26=latt_str_of(the_carrier(sk0_26),the_L_join(sk0_26),the_L_meet(sk0_26))),
% 2.46/0.67 inference(resolution,[status(thm)],[f566,f126])).
% 2.46/0.67 fof(f1781,plain,(
% 2.46/0.67 ~spl0_194|spl0_195),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1780,f1774,f1777])).
% 2.46/0.67 fof(f1782,plain,(
% 2.46/0.67 $false|spl0_194),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1776,f564])).
% 2.46/0.67 fof(f1783,plain,(
% 2.46/0.67 spl0_194),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1782])).
% 2.46/0.67 fof(f1784,plain,(
% 2.46/0.67 join_semilatt_str(sk0_27)),
% 2.46/0.67 inference(resolution,[status(thm)],[f568,f251])).
% 2.46/0.67 fof(f1786,plain,(
% 2.46/0.67 spl0_196 <=> latt_str(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1788,plain,(
% 2.46/0.67 ~latt_str(sk0_27)|spl0_196),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1786])).
% 2.46/0.67 fof(f1789,plain,(
% 2.46/0.67 spl0_197 <=> sk0_27=latt_str_of(the_carrier(sk0_27),the_L_join(sk0_27),the_L_meet(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1792,plain,(
% 2.46/0.67 ~latt_str(sk0_27)|sk0_27=latt_str_of(the_carrier(sk0_27),the_L_join(sk0_27),the_L_meet(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f570,f126])).
% 2.46/0.67 fof(f1793,plain,(
% 2.46/0.67 ~spl0_196|spl0_197),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1792,f1786,f1789])).
% 2.46/0.67 fof(f1794,plain,(
% 2.46/0.67 $false|spl0_196),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1788,f568])).
% 2.46/0.67 fof(f1795,plain,(
% 2.46/0.67 spl0_196),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1794])).
% 2.46/0.67 fof(f1796,plain,(
% 2.46/0.67 spl0_198 <=> empty_carrier(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1797,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~spl0_198),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1796])).
% 2.46/0.67 fof(f1799,plain,(
% 2.46/0.67 spl0_199 <=> join_commutative(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1801,plain,(
% 2.46/0.67 ~join_commutative(sk0_27)|spl0_199),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1799])).
% 2.46/0.67 fof(f1802,plain,(
% 2.46/0.67 spl0_200 <=> join_associative(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1804,plain,(
% 2.46/0.67 ~join_associative(sk0_27)|spl0_200),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1802])).
% 2.46/0.67 fof(f1805,plain,(
% 2.46/0.67 spl0_201 <=> meet_commutative(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1807,plain,(
% 2.46/0.67 ~meet_commutative(sk0_27)|spl0_201),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1805])).
% 2.46/0.67 fof(f1808,plain,(
% 2.46/0.67 spl0_202 <=> meet_associative(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1810,plain,(
% 2.46/0.67 ~meet_associative(sk0_27)|spl0_202),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1808])).
% 2.46/0.67 fof(f1811,plain,(
% 2.46/0.67 spl0_203 <=> meet_absorbing(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1813,plain,(
% 2.46/0.67 ~meet_absorbing(sk0_27)|spl0_203),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1811])).
% 2.46/0.67 fof(f1814,plain,(
% 2.46/0.67 spl0_204 <=> lattice(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1817,plain,(
% 2.46/0.67 ~latt_str(sk0_27)|empty_carrier(sk0_27)|~join_commutative(sk0_27)|~join_associative(sk0_27)|~meet_commutative(sk0_27)|~meet_associative(sk0_27)|~meet_absorbing(sk0_27)|lattice(sk0_27)),
% 2.46/0.67 inference(resolution,[status(thm)],[f576,f162])).
% 2.46/0.67 fof(f1818,plain,(
% 2.46/0.67 ~spl0_196|spl0_198|~spl0_199|~spl0_200|~spl0_201|~spl0_202|~spl0_203|spl0_204),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1817,f1786,f1796,f1799,f1802,f1805,f1808,f1811,f1814])).
% 2.46/0.67 fof(f1819,plain,(
% 2.46/0.67 $false|spl0_203),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1813,f575])).
% 2.46/0.67 fof(f1820,plain,(
% 2.46/0.67 spl0_203),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1819])).
% 2.46/0.67 fof(f1821,plain,(
% 2.46/0.67 $false|spl0_202),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1810,f574])).
% 2.46/0.67 fof(f1822,plain,(
% 2.46/0.67 spl0_202),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1821])).
% 2.46/0.67 fof(f1823,plain,(
% 2.46/0.67 $false|spl0_201),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1807,f573])).
% 2.46/0.67 fof(f1824,plain,(
% 2.46/0.67 spl0_201),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1823])).
% 2.46/0.67 fof(f1825,plain,(
% 2.46/0.67 $false|spl0_200),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1804,f572])).
% 2.46/0.67 fof(f1826,plain,(
% 2.46/0.67 spl0_200),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1825])).
% 2.46/0.67 fof(f1827,plain,(
% 2.46/0.67 $false|spl0_199),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1801,f571])).
% 2.46/0.67 fof(f1828,plain,(
% 2.46/0.67 spl0_199),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1827])).
% 2.46/0.67 fof(f1829,plain,(
% 2.46/0.67 $false|~spl0_198),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1797,f569])).
% 2.46/0.67 fof(f1830,plain,(
% 2.46/0.67 ~spl0_198),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1829])).
% 2.46/0.67 fof(f1831,plain,(
% 2.46/0.67 spl0_205 <=> relation_of2_as_subset(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1834,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|relation_of2_as_subset(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f229])).
% 2.46/0.67 fof(f1835,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_205),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1834,f1796,f1786,f1831])).
% 2.46/0.67 fof(f1836,plain,(
% 2.46/0.67 spl0_206 <=> v1_partfun1(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1839,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|v1_partfun1(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f228])).
% 2.46/0.67 fof(f1840,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_206),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1839,f1796,f1786,f1836])).
% 2.46/0.67 fof(f1841,plain,(
% 2.46/0.67 spl0_207 <=> poset_of_lattice(sk0_27)=rel_str_of(the_carrier(sk0_27),k2_lattice3(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1844,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|poset_of_lattice(sk0_27)=rel_str_of(the_carrier(sk0_27),k2_lattice3(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f206])).
% 2.46/0.67 fof(f1845,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_207),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1844,f1796,f1786,f1841])).
% 2.46/0.67 fof(f1846,plain,(
% 2.46/0.67 spl0_208 <=> k2_lattice3(sk0_27)=relation_of_lattice(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1849,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|k2_lattice3(sk0_27)=relation_of_lattice(sk0_27)),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f579])).
% 2.46/0.67 fof(f1850,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_208),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1849,f1796,f1786,f1846])).
% 2.46/0.67 fof(f1851,plain,(
% 2.46/0.67 spl0_209 <=> with_infima_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1854,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|with_infima_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f319])).
% 2.46/0.67 fof(f1855,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_209),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1854,f1796,f1786,f1851])).
% 2.46/0.67 fof(f1856,plain,(
% 2.46/0.67 spl0_210 <=> with_suprema_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1859,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|with_suprema_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f318])).
% 2.46/0.67 fof(f1860,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_210),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1859,f1796,f1786,f1856])).
% 2.46/0.67 fof(f1861,plain,(
% 2.46/0.67 spl0_211 <=> relation(relation_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1864,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|relation(relation_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f242])).
% 2.46/0.67 fof(f1865,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_211),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1864,f1796,f1786,f1861])).
% 2.46/0.67 fof(f1866,plain,(
% 2.46/0.67 spl0_212 <=> rel_str(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1867,plain,(
% 2.46/0.67 rel_str(poset_of_lattice(sk0_27))|~spl0_212),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1866])).
% 2.46/0.67 fof(f1869,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|rel_str(poset_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f235])).
% 2.46/0.67 fof(f1870,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_212),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1869,f1796,f1786,f1866])).
% 2.46/0.67 fof(f1871,plain,(
% 2.46/0.67 spl0_213 <=> antisymmetric_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1872,plain,(
% 2.46/0.67 antisymmetric_relstr(poset_of_lattice(sk0_27))|~spl0_213),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1871])).
% 2.46/0.67 fof(f1874,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|antisymmetric_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f234])).
% 2.46/0.67 fof(f1875,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_213),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1874,f1796,f1786,f1871])).
% 2.46/0.67 fof(f1876,plain,(
% 2.46/0.67 spl0_214 <=> transitive_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1879,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|transitive_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f233])).
% 2.46/0.67 fof(f1880,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_214),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1879,f1796,f1786,f1876])).
% 2.46/0.67 fof(f1881,plain,(
% 2.46/0.67 spl0_215 <=> reflexive_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1882,plain,(
% 2.46/0.67 reflexive_relstr(poset_of_lattice(sk0_27))|~spl0_215),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1881])).
% 2.46/0.67 fof(f1884,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|reflexive_relstr(poset_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f232])).
% 2.46/0.67 fof(f1885,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_215),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1884,f1796,f1786,f1881])).
% 2.46/0.67 fof(f1886,plain,(
% 2.46/0.67 spl0_216 <=> strict_rel_str(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1887,plain,(
% 2.46/0.67 strict_rel_str(poset_of_lattice(sk0_27))|~spl0_216),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1886])).
% 2.46/0.67 fof(f1889,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|strict_rel_str(poset_of_lattice(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f231])).
% 2.46/0.67 fof(f1890,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_216),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1889,f1796,f1786,f1886])).
% 2.46/0.67 fof(f1891,plain,(
% 2.46/0.67 spl0_217 <=> transitive(k2_lattice3(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1894,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|transitive(k2_lattice3(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f227])).
% 2.46/0.67 fof(f1895,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_217),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1894,f1796,f1786,f1891])).
% 2.46/0.67 fof(f1896,plain,(
% 2.46/0.67 spl0_218 <=> antisymmetric(k2_lattice3(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1899,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|antisymmetric(k2_lattice3(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f226])).
% 2.46/0.67 fof(f1900,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_218),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1899,f1796,f1786,f1896])).
% 2.46/0.67 fof(f1901,plain,(
% 2.46/0.67 spl0_219 <=> reflexive(k2_lattice3(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1904,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|reflexive(k2_lattice3(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f225])).
% 2.46/0.67 fof(f1905,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_219),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1904,f1796,f1786,f1901])).
% 2.46/0.67 fof(f1906,plain,(
% 2.46/0.67 spl0_220 <=> join_absorbing(sk0_27)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1909,plain,(
% 2.46/0.67 ~latt_str(sk0_27)|empty_carrier(sk0_27)|join_absorbing(sk0_27)),
% 2.46/0.67 inference(resolution,[status(thm)],[f577,f150])).
% 2.46/0.67 fof(f1910,plain,(
% 2.46/0.67 ~spl0_196|spl0_198|spl0_220),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1909,f1786,f1796,f1906])).
% 2.46/0.67 fof(f1922,plain,(
% 2.46/0.67 one_sorted_str(poset_of_lattice(sk0_27))|~spl0_212),
% 2.46/0.67 inference(resolution,[status(thm)],[f1867,f246])).
% 2.46/0.67 fof(f1934,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|cast_to_el_of_LattPOSet(X0,sk0_6(the_carrier(X0)))=sk0_6(the_carrier(X0)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f277,f209])).
% 2.46/0.67 fof(f1935,plain,(
% 2.46/0.67 ![X0,X1]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|~element(X1,the_carrier(X0))|related_reflexive(X0,sk0_6(the_carrier(X0)),sk0_6(the_carrier(X0))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f277,f599])).
% 2.46/0.67 fof(f1947,plain,(
% 2.46/0.67 ![X0,X1,X2]: (~rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0)))=rel_str_of(X1,X2)|the_carrier(boole_POSet(X0))=X1)),
% 2.46/0.67 inference(resolution,[status(thm)],[f1545,f420])).
% 2.46/0.67 fof(f1951,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|related_reflexive(X0,sk0_6(the_carrier(X0)),sk0_6(the_carrier(X0))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1935,f277])).
% 2.46/0.67 fof(f1952,plain,(
% 2.46/0.67 spl0_221 <=> related_reflexive(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1953,plain,(
% 2.46/0.67 related_reflexive(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))|~spl0_221),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1952])).
% 2.46/0.67 fof(f1955,plain,(
% 2.46/0.67 empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|related_reflexive(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1935,f611])).
% 2.46/0.67 fof(f1956,plain,(
% 2.46/0.67 spl0_2|~spl0_3|~spl0_4|spl0_221),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1955,f649,f652,f655,f1952])).
% 2.46/0.67 fof(f1959,plain,(
% 2.46/0.67 spl0_222 <=> element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1961,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))|spl0_222),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1959])).
% 2.46/0.67 fof(f1962,plain,(
% 2.46/0.67 spl0_223 <=> related(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1963,plain,(
% 2.46/0.67 related(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))|~spl0_223),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1962])).
% 2.46/0.67 fof(f1965,plain,(
% 2.46/0.67 empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|~element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))|~element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))|related(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))|~spl0_221),
% 2.46/0.67 inference(resolution,[status(thm)],[f1953,f590])).
% 2.46/0.67 fof(f1966,plain,(
% 2.46/0.67 spl0_2|~spl0_3|~spl0_4|~spl0_222|spl0_223|~spl0_221),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1965,f649,f652,f655,f1959,f1962,f1952])).
% 2.46/0.67 fof(f1967,plain,(
% 2.46/0.67 $false|spl0_222),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1961,f277])).
% 2.46/0.67 fof(f1968,plain,(
% 2.46/0.67 spl0_222),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f1967])).
% 2.46/0.67 fof(f1971,plain,(
% 2.46/0.67 spl0_224 <=> in(ordered_pair(sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28)))),the_InternalRel(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1974,plain,(
% 2.46/0.67 ~rel_str(boole_POSet(sk0_28))|~element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))|~element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))|in(ordered_pair(sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28)))),the_InternalRel(boole_POSet(sk0_28)))|~spl0_223),
% 2.46/0.67 inference(resolution,[status(thm)],[f1963,f213])).
% 2.46/0.67 fof(f1975,plain,(
% 2.46/0.67 ~spl0_4|~spl0_222|spl0_224|~spl0_223),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1974,f655,f1959,f1971,f1962])).
% 2.46/0.67 fof(f1982,plain,(
% 2.46/0.67 ![X0,X1,X2]: (~boole_POSet(X0)=rel_str_of(X1,X2)|the_carrier(boole_POSet(X0))=X1)),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f1037,f1947])).
% 2.46/0.67 fof(f1986,plain,(
% 2.46/0.67 spl0_225 <=> empty_carrier(poset_of_lattice(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1987,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_27))|~spl0_225),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1986])).
% 2.46/0.67 fof(f1989,plain,(
% 2.46/0.67 spl0_226 <=> related_reflexive(poset_of_lattice(sk0_27),sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1990,plain,(
% 2.46/0.67 related_reflexive(poset_of_lattice(sk0_27),sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27))))|~spl0_226),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1989])).
% 2.46/0.67 fof(f1992,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_27))|~rel_str(poset_of_lattice(sk0_27))|related_reflexive(poset_of_lattice(sk0_27),sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27))))|~spl0_215),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f1882])).
% 2.46/0.67 fof(f1993,plain,(
% 2.46/0.67 spl0_225|~spl0_212|spl0_226|~spl0_215),
% 2.46/0.67 inference(split_clause,[status(thm)],[f1992,f1986,f1866,f1989,f1881])).
% 2.46/0.67 fof(f1994,plain,(
% 2.46/0.67 spl0_227 <=> empty_carrier(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1995,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_11))|~spl0_227),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1994])).
% 2.46/0.67 fof(f1997,plain,(
% 2.46/0.67 spl0_228 <=> related_reflexive(poset_of_lattice(sk0_11),sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f1998,plain,(
% 2.46/0.67 related_reflexive(poset_of_lattice(sk0_11),sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11))))|~spl0_228),
% 2.46/0.67 inference(component_clause,[status(thm)],[f1997])).
% 2.46/0.67 fof(f2000,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_11))|~rel_str(poset_of_lattice(sk0_11))|related_reflexive(poset_of_lattice(sk0_11),sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11))))|~spl0_144),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f1462])).
% 2.46/0.67 fof(f2001,plain,(
% 2.46/0.67 spl0_227|~spl0_141|spl0_228|~spl0_144),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2000,f1994,f1446,f1997,f1461])).
% 2.46/0.67 fof(f2002,plain,(
% 2.46/0.67 spl0_229 <=> empty_carrier(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2003,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_10))|~spl0_229),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2002])).
% 2.46/0.67 fof(f2005,plain,(
% 2.46/0.67 spl0_230 <=> related_reflexive(poset_of_lattice(sk0_10),sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2006,plain,(
% 2.46/0.67 related_reflexive(poset_of_lattice(sk0_10),sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10))))|~spl0_230),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2005])).
% 2.46/0.67 fof(f2008,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_10))|~rel_str(poset_of_lattice(sk0_10))|related_reflexive(poset_of_lattice(sk0_10),sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10))))|~spl0_112),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f1289])).
% 2.46/0.67 fof(f2009,plain,(
% 2.46/0.67 spl0_229|~spl0_109|spl0_230|~spl0_112),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2008,f2002,f1273,f2005,f1288])).
% 2.46/0.67 fof(f2010,plain,(
% 2.46/0.67 spl0_231 <=> empty_carrier(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2011,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_9))|~spl0_231),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2010])).
% 2.46/0.67 fof(f2013,plain,(
% 2.46/0.67 spl0_232 <=> related_reflexive(poset_of_lattice(sk0_9),sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2014,plain,(
% 2.46/0.67 related_reflexive(poset_of_lattice(sk0_9),sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9))))|~spl0_232),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2013])).
% 2.46/0.67 fof(f2016,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_9))|~rel_str(poset_of_lattice(sk0_9))|related_reflexive(poset_of_lattice(sk0_9),sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9))))|~spl0_82),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f1124])).
% 2.46/0.67 fof(f2017,plain,(
% 2.46/0.67 spl0_231|~spl0_79|spl0_232|~spl0_82),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2016,f2010,f1108,f2013,f1123])).
% 2.46/0.67 fof(f2018,plain,(
% 2.46/0.67 spl0_233 <=> empty_carrier(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2019,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_8))|~spl0_233),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2018])).
% 2.46/0.67 fof(f2021,plain,(
% 2.46/0.67 spl0_234 <=> related_reflexive(poset_of_lattice(sk0_8),sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2022,plain,(
% 2.46/0.67 related_reflexive(poset_of_lattice(sk0_8),sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8))))|~spl0_234),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2021])).
% 2.46/0.67 fof(f2024,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_8))|~rel_str(poset_of_lattice(sk0_8))|related_reflexive(poset_of_lattice(sk0_8),sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8))))|~spl0_52),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f956])).
% 2.46/0.67 fof(f2025,plain,(
% 2.46/0.67 spl0_233|~spl0_49|spl0_234|~spl0_52),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2024,f2018,f940,f2021,f955])).
% 2.46/0.67 fof(f2026,plain,(
% 2.46/0.67 spl0_235 <=> related_reflexive(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2027,plain,(
% 2.46/0.67 related_reflexive(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))|~spl0_235),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2026])).
% 2.46/0.67 fof(f2029,plain,(
% 2.46/0.67 empty_carrier(sk0_22)|~rel_str(sk0_22)|related_reflexive(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f544])).
% 2.46/0.67 fof(f2030,plain,(
% 2.46/0.67 spl0_186|~spl0_185|spl0_235),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2029,f1722,f1719,f2026])).
% 2.46/0.67 fof(f2031,plain,(
% 2.46/0.67 spl0_236 <=> empty_carrier(sk0_18)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2032,plain,(
% 2.46/0.67 empty_carrier(sk0_18)|~spl0_236),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2031])).
% 2.46/0.67 fof(f2034,plain,(
% 2.46/0.67 spl0_237 <=> related_reflexive(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2035,plain,(
% 2.46/0.67 related_reflexive(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_237),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2034])).
% 2.46/0.67 fof(f2037,plain,(
% 2.46/0.67 empty_carrier(sk0_18)|~rel_str(sk0_18)|related_reflexive(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f529])).
% 2.46/0.67 fof(f2038,plain,(
% 2.46/0.67 spl0_236|~spl0_183|spl0_237),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2037,f2031,f1709,f2034])).
% 2.46/0.67 fof(f2039,plain,(
% 2.46/0.67 spl0_238 <=> related_reflexive(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2040,plain,(
% 2.46/0.67 related_reflexive(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))|~spl0_238),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2039])).
% 2.46/0.67 fof(f2042,plain,(
% 2.46/0.67 empty_carrier(sk0_17)|~rel_str(sk0_17)|related_reflexive(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f519])).
% 2.46/0.67 fof(f2043,plain,(
% 2.46/0.67 spl0_179|~spl0_177|spl0_238),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2042,f1687,f1677,f2039])).
% 2.46/0.67 fof(f2044,plain,(
% 2.46/0.67 spl0_239 <=> related_reflexive(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2045,plain,(
% 2.46/0.67 related_reflexive(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))|~spl0_239),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2044])).
% 2.46/0.67 fof(f2047,plain,(
% 2.46/0.67 empty_carrier(sk0_16)|~rel_str(sk0_16)|related_reflexive(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f508])).
% 2.46/0.67 fof(f2048,plain,(
% 2.46/0.67 spl0_169|~spl0_167|spl0_239),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2047,f1635,f1625,f2044])).
% 2.46/0.67 fof(f2049,plain,(
% 2.46/0.67 spl0_240 <=> related_reflexive(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2050,plain,(
% 2.46/0.67 related_reflexive(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))|~spl0_240),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2049])).
% 2.46/0.67 fof(f2052,plain,(
% 2.46/0.67 empty_carrier(sk0_12)|~rel_str(sk0_12)|related_reflexive(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f491])).
% 2.46/0.67 fof(f2053,plain,(
% 2.46/0.67 spl0_161|~spl0_159|spl0_240),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2052,f1591,f1581,f2049])).
% 2.46/0.67 fof(f2054,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_POSet(X0))|~rel_str(boole_POSet(X0))|related_reflexive(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1951,f404])).
% 2.46/0.67 fof(f2055,plain,(
% 2.46/0.67 ![X0]: (~rel_str(boole_POSet(X0))|related_reflexive(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2054,f402])).
% 2.46/0.67 fof(f2056,plain,(
% 2.46/0.67 $false|~spl0_236),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2032,f527])).
% 2.46/0.67 fof(f2057,plain,(
% 2.46/0.67 ~spl0_236),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2056])).
% 2.46/0.67 fof(f2059,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~lattice(sk0_27)|~latt_str(sk0_27)|~spl0_225),
% 2.46/0.67 inference(resolution,[status(thm)],[f1987,f313])).
% 2.46/0.67 fof(f2060,plain,(
% 2.46/0.67 spl0_198|~spl0_204|~spl0_196|~spl0_225),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2059,f1796,f1814,f1786,f1986])).
% 2.46/0.67 fof(f2061,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~lattice(sk0_11)|~latt_str(sk0_11)|~spl0_227),
% 2.46/0.67 inference(resolution,[status(thm)],[f1995,f313])).
% 2.46/0.67 fof(f2062,plain,(
% 2.46/0.67 spl0_127|~spl0_133|~spl0_125|~spl0_227),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2061,f1376,f1394,f1366,f1994])).
% 2.46/0.67 fof(f2063,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~lattice(sk0_10)|~latt_str(sk0_10)|~spl0_229),
% 2.46/0.67 inference(resolution,[status(thm)],[f2003,f313])).
% 2.46/0.67 fof(f2064,plain,(
% 2.46/0.67 spl0_95|~spl0_101|~spl0_93|~spl0_229),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2063,f1203,f1221,f1193,f2002])).
% 2.46/0.67 fof(f2065,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~lattice(sk0_9)|~latt_str(sk0_9)|~spl0_231),
% 2.46/0.67 inference(resolution,[status(thm)],[f2011,f313])).
% 2.46/0.67 fof(f2066,plain,(
% 2.46/0.67 spl0_65|~spl0_71|~spl0_63|~spl0_231),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2065,f1038,f1056,f1023,f2010])).
% 2.46/0.67 fof(f2067,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~lattice(sk0_8)|~latt_str(sk0_8)|~spl0_233),
% 2.46/0.67 inference(resolution,[status(thm)],[f2019,f313])).
% 2.46/0.67 fof(f2068,plain,(
% 2.46/0.67 spl0_35|~spl0_41|~spl0_33|~spl0_233),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2067,f870,f888,f860,f2018])).
% 2.46/0.67 fof(f2069,plain,(
% 2.46/0.67 spl0_241 <=> reflexive_relstr(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2071,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_12)|spl0_241),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2069])).
% 2.46/0.67 fof(f2072,plain,(
% 2.46/0.67 spl0_242 <=> element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2074,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))|spl0_242),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2072])).
% 2.46/0.67 fof(f2075,plain,(
% 2.46/0.67 spl0_243 <=> related(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2076,plain,(
% 2.46/0.67 related(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))|~spl0_243),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2075])).
% 2.46/0.67 fof(f2078,plain,(
% 2.46/0.67 empty_carrier(sk0_12)|~reflexive_relstr(sk0_12)|~rel_str(sk0_12)|~element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))|~element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))|related(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))|~spl0_240),
% 2.46/0.67 inference(resolution,[status(thm)],[f2050,f590])).
% 2.46/0.67 fof(f2079,plain,(
% 2.46/0.67 spl0_161|~spl0_241|~spl0_159|~spl0_242|spl0_243|~spl0_240),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2078,f1591,f2069,f1581,f2072,f2075,f2049])).
% 2.46/0.67 fof(f2080,plain,(
% 2.46/0.67 $false|spl0_242),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2074,f277])).
% 2.46/0.67 fof(f2081,plain,(
% 2.46/0.67 spl0_242),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2080])).
% 2.46/0.67 fof(f2082,plain,(
% 2.46/0.67 $false|spl0_241),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2071,f491])).
% 2.46/0.67 fof(f2083,plain,(
% 2.46/0.67 spl0_241),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2082])).
% 2.46/0.67 fof(f2084,plain,(
% 2.46/0.67 spl0_244 <=> element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2086,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|spl0_244),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2084])).
% 2.46/0.67 fof(f2087,plain,(
% 2.46/0.67 spl0_245 <=> related(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2088,plain,(
% 2.46/0.67 related(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))|~spl0_245),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2087])).
% 2.46/0.67 fof(f2090,plain,(
% 2.46/0.67 empty_carrier(sk0_16)|~reflexive_relstr(sk0_16)|~rel_str(sk0_16)|~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|related(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))|~spl0_239),
% 2.46/0.67 inference(resolution,[status(thm)],[f2045,f590])).
% 2.46/0.67 fof(f2091,plain,(
% 2.46/0.67 spl0_169|~spl0_173|~spl0_167|~spl0_244|spl0_245|~spl0_239),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2090,f1635,f1657,f1625,f2084,f2087,f2044])).
% 2.46/0.67 fof(f2092,plain,(
% 2.46/0.67 $false|spl0_244),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2086,f277])).
% 2.46/0.67 fof(f2093,plain,(
% 2.46/0.67 spl0_244),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2092])).
% 2.46/0.67 fof(f2094,plain,(
% 2.46/0.67 spl0_246 <=> reflexive_relstr(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2096,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_17)|spl0_246),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2094])).
% 2.46/0.67 fof(f2097,plain,(
% 2.46/0.67 spl0_247 <=> element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2099,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))|spl0_247),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2097])).
% 2.46/0.67 fof(f2100,plain,(
% 2.46/0.67 spl0_248 <=> related(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2101,plain,(
% 2.46/0.67 related(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))|~spl0_248),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2100])).
% 2.46/0.67 fof(f2103,plain,(
% 2.46/0.67 empty_carrier(sk0_17)|~reflexive_relstr(sk0_17)|~rel_str(sk0_17)|~element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))|~element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))|related(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))|~spl0_238),
% 2.46/0.67 inference(resolution,[status(thm)],[f2040,f590])).
% 2.46/0.67 fof(f2104,plain,(
% 2.46/0.67 spl0_179|~spl0_246|~spl0_177|~spl0_247|spl0_248|~spl0_238),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2103,f1687,f2094,f1677,f2097,f2100,f2039])).
% 2.46/0.67 fof(f2105,plain,(
% 2.46/0.67 $false|spl0_247),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2099,f277])).
% 2.46/0.67 fof(f2106,plain,(
% 2.46/0.67 spl0_247),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2105])).
% 2.46/0.67 fof(f2107,plain,(
% 2.46/0.67 $false|spl0_246),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2096,f519])).
% 2.46/0.67 fof(f2108,plain,(
% 2.46/0.67 spl0_246),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2107])).
% 2.46/0.67 fof(f2109,plain,(
% 2.46/0.67 spl0_249 <=> reflexive_relstr(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2111,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_22)|spl0_249),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2109])).
% 2.46/0.67 fof(f2112,plain,(
% 2.46/0.67 spl0_250 <=> element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2114,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))|spl0_250),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2112])).
% 2.46/0.67 fof(f2115,plain,(
% 2.46/0.67 spl0_251 <=> related(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2116,plain,(
% 2.46/0.67 related(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))|~spl0_251),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2115])).
% 2.46/0.67 fof(f2118,plain,(
% 2.46/0.67 empty_carrier(sk0_22)|~reflexive_relstr(sk0_22)|~rel_str(sk0_22)|~element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))|~element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))|related(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))|~spl0_235),
% 2.46/0.67 inference(resolution,[status(thm)],[f2027,f590])).
% 2.46/0.67 fof(f2119,plain,(
% 2.46/0.67 spl0_186|~spl0_249|~spl0_185|~spl0_250|spl0_251|~spl0_235),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2118,f1722,f2109,f1719,f2112,f2115,f2026])).
% 2.46/0.67 fof(f2120,plain,(
% 2.46/0.67 $false|spl0_250),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2114,f277])).
% 2.46/0.67 fof(f2121,plain,(
% 2.46/0.67 spl0_250),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2120])).
% 2.46/0.67 fof(f2122,plain,(
% 2.46/0.67 $false|spl0_249),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2111,f544])).
% 2.46/0.67 fof(f2123,plain,(
% 2.46/0.67 spl0_249),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2122])).
% 2.46/0.67 fof(f2124,plain,(
% 2.46/0.67 spl0_252 <=> reflexive_relstr(sk0_18)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2126,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_18)|spl0_252),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2124])).
% 2.46/0.67 fof(f2127,plain,(
% 2.46/0.67 spl0_253 <=> element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2129,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|spl0_253),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2127])).
% 2.46/0.67 fof(f2130,plain,(
% 2.46/0.67 spl0_254 <=> related(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2131,plain,(
% 2.46/0.67 related(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_254),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2130])).
% 2.46/0.67 fof(f2133,plain,(
% 2.46/0.67 empty_carrier(sk0_18)|~reflexive_relstr(sk0_18)|~rel_str(sk0_18)|~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|related(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_237),
% 2.46/0.67 inference(resolution,[status(thm)],[f2035,f590])).
% 2.46/0.67 fof(f2134,plain,(
% 2.46/0.67 spl0_236|~spl0_252|~spl0_183|~spl0_253|spl0_254|~spl0_237),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2133,f2031,f2124,f1709,f2127,f2130,f2034])).
% 2.46/0.67 fof(f2135,plain,(
% 2.46/0.67 $false|spl0_253),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2129,f277])).
% 2.46/0.67 fof(f2136,plain,(
% 2.46/0.67 spl0_253),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2135])).
% 2.46/0.67 fof(f2137,plain,(
% 2.46/0.67 $false|spl0_252),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2126,f529])).
% 2.46/0.67 fof(f2138,plain,(
% 2.46/0.67 spl0_252),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2137])).
% 2.46/0.67 fof(f2143,plain,(
% 2.46/0.67 ![X0]: (related_reflexive(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2055,f238])).
% 2.46/0.67 fof(f2144,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_POSet(X0))|~reflexive_relstr(boole_POSet(X0))|~rel_str(boole_POSet(X0))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|related(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2143,f590])).
% 2.46/0.67 fof(f2145,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_POSet(X0))|~reflexive_relstr(boole_POSet(X0))|~rel_str(boole_POSet(X0))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|related(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(duplicate_literals_removal,[status(esa)],[f2144])).
% 2.46/0.67 fof(f2146,plain,(
% 2.46/0.67 ![X0]: (~reflexive_relstr(boole_POSet(X0))|~rel_str(boole_POSet(X0))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|related(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2145,f402])).
% 2.46/0.67 fof(f2147,plain,(
% 2.46/0.67 spl0_255 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2149,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))|spl0_255),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2147])).
% 2.46/0.67 fof(f2150,plain,(
% 2.46/0.67 spl0_256 <=> related(poset_of_lattice(sk0_27),sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2151,plain,(
% 2.46/0.67 related(poset_of_lattice(sk0_27),sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27))))|~spl0_256),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2150])).
% 2.46/0.67 fof(f2153,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_27))|~reflexive_relstr(poset_of_lattice(sk0_27))|~rel_str(poset_of_lattice(sk0_27))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))|related(poset_of_lattice(sk0_27),sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27))))|~spl0_226),
% 2.46/0.67 inference(resolution,[status(thm)],[f1990,f590])).
% 2.46/0.67 fof(f2154,plain,(
% 2.46/0.67 spl0_225|~spl0_215|~spl0_212|~spl0_255|spl0_256|~spl0_226),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2153,f1986,f1881,f1866,f2147,f2150,f1989])).
% 2.46/0.67 fof(f2155,plain,(
% 2.46/0.67 $false|spl0_255),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2149,f277])).
% 2.46/0.67 fof(f2156,plain,(
% 2.46/0.67 spl0_255),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2155])).
% 2.46/0.67 fof(f2159,plain,(
% 2.46/0.67 spl0_257 <=> in(ordered_pair(sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12))),the_InternalRel(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2162,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|~element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))|~element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))|in(ordered_pair(sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12))),the_InternalRel(sk0_12))|~spl0_243),
% 2.46/0.67 inference(resolution,[status(thm)],[f2076,f213])).
% 2.46/0.67 fof(f2163,plain,(
% 2.46/0.67 ~spl0_159|~spl0_242|spl0_257|~spl0_243),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2162,f1581,f2072,f2159,f2075])).
% 2.46/0.67 fof(f2166,plain,(
% 2.46/0.67 spl0_258 <=> in(ordered_pair(sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16))),the_InternalRel(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2169,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|in(ordered_pair(sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16))),the_InternalRel(sk0_16))|~spl0_245),
% 2.46/0.67 inference(resolution,[status(thm)],[f2088,f213])).
% 2.46/0.67 fof(f2170,plain,(
% 2.46/0.67 ~spl0_167|~spl0_244|spl0_258|~spl0_245),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2169,f1625,f2084,f2166,f2087])).
% 2.46/0.67 fof(f2173,plain,(
% 2.46/0.67 spl0_259 <=> in(ordered_pair(sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17))),the_InternalRel(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2176,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|~element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))|~element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))|in(ordered_pair(sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17))),the_InternalRel(sk0_17))|~spl0_248),
% 2.46/0.67 inference(resolution,[status(thm)],[f2101,f213])).
% 2.46/0.67 fof(f2177,plain,(
% 2.46/0.67 ~spl0_177|~spl0_247|spl0_259|~spl0_248),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2176,f1677,f2097,f2173,f2100])).
% 2.46/0.67 fof(f2180,plain,(
% 2.46/0.67 spl0_260 <=> in(ordered_pair(sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22))),the_InternalRel(sk0_22))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2183,plain,(
% 2.46/0.67 ~rel_str(sk0_22)|~element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))|~element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))|in(ordered_pair(sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22))),the_InternalRel(sk0_22))|~spl0_251),
% 2.46/0.67 inference(resolution,[status(thm)],[f2116,f213])).
% 2.46/0.67 fof(f2184,plain,(
% 2.46/0.67 ~spl0_185|~spl0_250|spl0_260|~spl0_251),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2183,f1719,f2112,f2180,f2115])).
% 2.46/0.67 fof(f2187,plain,(
% 2.46/0.67 spl0_261 <=> in(ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))),the_InternalRel(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2190,plain,(
% 2.46/0.67 ~rel_str(sk0_18)|~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|in(ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))),the_InternalRel(sk0_18))|~spl0_254),
% 2.46/0.67 inference(resolution,[status(thm)],[f2131,f213])).
% 2.46/0.67 fof(f2191,plain,(
% 2.46/0.67 ~spl0_183|~spl0_253|spl0_261|~spl0_254),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2190,f1709,f2127,f2187,f2130])).
% 2.46/0.67 fof(f2227,plain,(
% 2.46/0.67 spl0_262 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2229,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))|spl0_262),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2227])).
% 2.46/0.67 fof(f2230,plain,(
% 2.46/0.67 spl0_263 <=> related(poset_of_lattice(sk0_11),sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2231,plain,(
% 2.46/0.67 related(poset_of_lattice(sk0_11),sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11))))|~spl0_263),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2230])).
% 2.46/0.67 fof(f2233,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_11))|~reflexive_relstr(poset_of_lattice(sk0_11))|~rel_str(poset_of_lattice(sk0_11))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))|related(poset_of_lattice(sk0_11),sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11))))|~spl0_228),
% 2.46/0.67 inference(resolution,[status(thm)],[f1998,f590])).
% 2.46/0.67 fof(f2234,plain,(
% 2.46/0.67 spl0_227|~spl0_144|~spl0_141|~spl0_262|spl0_263|~spl0_228),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2233,f1994,f1461,f1446,f2227,f2230,f1997])).
% 2.46/0.67 fof(f2235,plain,(
% 2.46/0.67 $false|spl0_262),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2229,f277])).
% 2.46/0.67 fof(f2236,plain,(
% 2.46/0.67 spl0_262),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2235])).
% 2.46/0.67 fof(f2237,plain,(
% 2.46/0.67 spl0_264 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2239,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))|spl0_264),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2237])).
% 2.46/0.67 fof(f2240,plain,(
% 2.46/0.67 spl0_265 <=> related(poset_of_lattice(sk0_10),sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2241,plain,(
% 2.46/0.67 related(poset_of_lattice(sk0_10),sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10))))|~spl0_265),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2240])).
% 2.46/0.67 fof(f2243,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_10))|~reflexive_relstr(poset_of_lattice(sk0_10))|~rel_str(poset_of_lattice(sk0_10))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))|related(poset_of_lattice(sk0_10),sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10))))|~spl0_230),
% 2.46/0.67 inference(resolution,[status(thm)],[f2006,f590])).
% 2.46/0.67 fof(f2244,plain,(
% 2.46/0.67 spl0_229|~spl0_112|~spl0_109|~spl0_264|spl0_265|~spl0_230),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2243,f2002,f1288,f1273,f2237,f2240,f2005])).
% 2.46/0.67 fof(f2245,plain,(
% 2.46/0.67 $false|spl0_264),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2239,f277])).
% 2.46/0.67 fof(f2246,plain,(
% 2.46/0.67 spl0_264),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2245])).
% 2.46/0.67 fof(f2247,plain,(
% 2.46/0.67 spl0_266 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2249,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))|spl0_266),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2247])).
% 2.46/0.67 fof(f2250,plain,(
% 2.46/0.67 spl0_267 <=> related(poset_of_lattice(sk0_9),sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2251,plain,(
% 2.46/0.67 related(poset_of_lattice(sk0_9),sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9))))|~spl0_267),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2250])).
% 2.46/0.67 fof(f2253,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_9))|~reflexive_relstr(poset_of_lattice(sk0_9))|~rel_str(poset_of_lattice(sk0_9))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))|related(poset_of_lattice(sk0_9),sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9))))|~spl0_232),
% 2.46/0.67 inference(resolution,[status(thm)],[f2014,f590])).
% 2.46/0.67 fof(f2254,plain,(
% 2.46/0.67 spl0_231|~spl0_82|~spl0_79|~spl0_266|spl0_267|~spl0_232),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2253,f2010,f1123,f1108,f2247,f2250,f2013])).
% 2.46/0.67 fof(f2255,plain,(
% 2.46/0.67 $false|spl0_266),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2249,f277])).
% 2.46/0.67 fof(f2256,plain,(
% 2.46/0.67 spl0_266),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2255])).
% 2.46/0.67 fof(f2257,plain,(
% 2.46/0.67 spl0_268 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2259,plain,(
% 2.46/0.67 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))|spl0_268),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2257])).
% 2.46/0.67 fof(f2260,plain,(
% 2.46/0.67 spl0_269 <=> related(poset_of_lattice(sk0_8),sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2261,plain,(
% 2.46/0.67 related(poset_of_lattice(sk0_8),sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8))))|~spl0_269),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2260])).
% 2.46/0.67 fof(f2263,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_8))|~reflexive_relstr(poset_of_lattice(sk0_8))|~rel_str(poset_of_lattice(sk0_8))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))|related(poset_of_lattice(sk0_8),sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8))))|~spl0_234),
% 2.46/0.67 inference(resolution,[status(thm)],[f2022,f590])).
% 2.46/0.67 fof(f2264,plain,(
% 2.46/0.67 spl0_233|~spl0_52|~spl0_49|~spl0_268|spl0_269|~spl0_234),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2263,f2018,f955,f940,f2257,f2260,f2021])).
% 2.46/0.67 fof(f2265,plain,(
% 2.46/0.67 $false|spl0_268),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2259,f277])).
% 2.46/0.67 fof(f2266,plain,(
% 2.46/0.67 spl0_268),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2265])).
% 2.46/0.67 fof(f2294,plain,(
% 2.46/0.67 spl0_275 <=> in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27)))),the_InternalRel(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2297,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_27))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))|in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27)))),the_InternalRel(poset_of_lattice(sk0_27)))|~spl0_256),
% 2.46/0.67 inference(resolution,[status(thm)],[f2151,f213])).
% 2.46/0.67 fof(f2298,plain,(
% 2.46/0.67 ~spl0_212|~spl0_255|spl0_275|~spl0_256),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2297,f1866,f2147,f2294,f2150])).
% 2.46/0.67 fof(f2301,plain,(
% 2.46/0.67 spl0_276 <=> in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11)))),the_InternalRel(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2304,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_11))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))|in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_11))),sk0_6(the_carrier(poset_of_lattice(sk0_11)))),the_InternalRel(poset_of_lattice(sk0_11)))|~spl0_263),
% 2.46/0.67 inference(resolution,[status(thm)],[f2231,f213])).
% 2.46/0.67 fof(f2305,plain,(
% 2.46/0.67 ~spl0_141|~spl0_262|spl0_276|~spl0_263),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2304,f1446,f2227,f2301,f2230])).
% 2.46/0.67 fof(f2308,plain,(
% 2.46/0.67 spl0_277 <=> in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10)))),the_InternalRel(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2311,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_10))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))|in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_10))),sk0_6(the_carrier(poset_of_lattice(sk0_10)))),the_InternalRel(poset_of_lattice(sk0_10)))|~spl0_265),
% 2.46/0.67 inference(resolution,[status(thm)],[f2241,f213])).
% 2.46/0.67 fof(f2312,plain,(
% 2.46/0.67 ~spl0_109|~spl0_264|spl0_277|~spl0_265),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2311,f1273,f2237,f2308,f2240])).
% 2.46/0.67 fof(f2315,plain,(
% 2.46/0.67 spl0_278 <=> in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9)))),the_InternalRel(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2318,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_9))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))|in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_9))),sk0_6(the_carrier(poset_of_lattice(sk0_9)))),the_InternalRel(poset_of_lattice(sk0_9)))|~spl0_267),
% 2.46/0.67 inference(resolution,[status(thm)],[f2251,f213])).
% 2.46/0.67 fof(f2319,plain,(
% 2.46/0.67 ~spl0_79|~spl0_266|spl0_278|~spl0_267),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2318,f1108,f2247,f2315,f2250])).
% 2.46/0.67 fof(f2322,plain,(
% 2.46/0.67 spl0_279 <=> in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8)))),the_InternalRel(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2325,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_8))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))|~element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))|in(ordered_pair(sk0_6(the_carrier(poset_of_lattice(sk0_8))),sk0_6(the_carrier(poset_of_lattice(sk0_8)))),the_InternalRel(poset_of_lattice(sk0_8)))|~spl0_269),
% 2.46/0.67 inference(resolution,[status(thm)],[f2261,f213])).
% 2.46/0.67 fof(f2326,plain,(
% 2.46/0.67 ~spl0_49|~spl0_268|spl0_279|~spl0_269),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2325,f940,f2257,f2322,f2260])).
% 2.46/0.67 fof(f2382,plain,(
% 2.46/0.67 ![X0]: (~rel_str(boole_POSet(X0))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|related(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2146,f404])).
% 2.46/0.67 fof(f2383,plain,(
% 2.46/0.67 ![X0]: (~rel_str(boole_POSet(X0))|related(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2382,f277])).
% 2.46/0.67 fof(f2384,plain,(
% 2.46/0.67 ![X0]: (related(boole_POSet(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2383,f238])).
% 2.46/0.67 fof(f2387,plain,(
% 2.46/0.67 ![X0]: (~rel_str(boole_POSet(X0))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|in(ordered_pair(sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))),the_InternalRel(boole_POSet(X0))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2384,f213])).
% 2.46/0.67 fof(f2388,plain,(
% 2.46/0.67 ![X0]: (~rel_str(boole_POSet(X0))|~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|in(ordered_pair(sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))),the_InternalRel(boole_POSet(X0))))),
% 2.46/0.67 inference(duplicate_literals_removal,[status(esa)],[f2387])).
% 2.46/0.67 fof(f2389,plain,(
% 2.46/0.67 ![X0]: (~element(sk0_6(the_carrier(boole_POSet(X0))),the_carrier(boole_POSet(X0)))|in(ordered_pair(sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))),the_InternalRel(boole_POSet(X0))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2388,f238])).
% 2.46/0.67 fof(f2395,plain,(
% 2.46/0.67 ![X0]: (in(ordered_pair(sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))),the_InternalRel(boole_POSet(X0))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2389,f277])).
% 2.46/0.67 fof(f2398,plain,(
% 2.46/0.67 ![X0,X1]: (~element(the_InternalRel(boole_POSet(X0)),powerset(X1))|~empty(X1))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2395,f624])).
% 2.46/0.67 fof(f2402,plain,(
% 2.46/0.67 ![X0]: (~empty(cartesian_product2(the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2398,f1544])).
% 2.46/0.67 fof(f2405,plain,(
% 2.46/0.67 spl0_285 <=> cast_to_el_of_LattPOSet(sk0_27,sk0_6(the_carrier(sk0_27)))=sk0_6(the_carrier(sk0_27))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2408,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|~latt_str(sk0_27)|cast_to_el_of_LattPOSet(sk0_27,sk0_6(the_carrier(sk0_27)))=sk0_6(the_carrier(sk0_27))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1934,f577])).
% 2.46/0.67 fof(f2409,plain,(
% 2.46/0.67 spl0_198|~spl0_196|spl0_285),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2408,f1796,f1786,f2405])).
% 2.46/0.67 fof(f2410,plain,(
% 2.46/0.67 spl0_286 <=> cast_to_el_of_LattPOSet(sk0_11,sk0_6(the_carrier(sk0_11)))=sk0_6(the_carrier(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2413,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|~latt_str(sk0_11)|cast_to_el_of_LattPOSet(sk0_11,sk0_6(the_carrier(sk0_11)))=sk0_6(the_carrier(sk0_11))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1934,f480])).
% 2.46/0.67 fof(f2414,plain,(
% 2.46/0.67 spl0_127|~spl0_125|spl0_286),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2413,f1376,f1366,f2410])).
% 2.46/0.67 fof(f2415,plain,(
% 2.46/0.67 spl0_287 <=> cast_to_el_of_LattPOSet(sk0_10,sk0_6(the_carrier(sk0_10)))=sk0_6(the_carrier(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2418,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|~latt_str(sk0_10)|cast_to_el_of_LattPOSet(sk0_10,sk0_6(the_carrier(sk0_10)))=sk0_6(the_carrier(sk0_10))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1934,f465])).
% 2.46/0.67 fof(f2419,plain,(
% 2.46/0.67 spl0_95|~spl0_93|spl0_287),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2418,f1203,f1193,f2415])).
% 2.46/0.67 fof(f2420,plain,(
% 2.46/0.67 spl0_288 <=> cast_to_el_of_LattPOSet(sk0_9,sk0_6(the_carrier(sk0_9)))=sk0_6(the_carrier(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2423,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|~latt_str(sk0_9)|cast_to_el_of_LattPOSet(sk0_9,sk0_6(the_carrier(sk0_9)))=sk0_6(the_carrier(sk0_9))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1934,f451])).
% 2.46/0.67 fof(f2424,plain,(
% 2.46/0.67 spl0_65|~spl0_63|spl0_288),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2423,f1038,f1023,f2420])).
% 2.46/0.67 fof(f2425,plain,(
% 2.46/0.67 spl0_289 <=> cast_to_el_of_LattPOSet(sk0_8,sk0_6(the_carrier(sk0_8)))=sk0_6(the_carrier(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2428,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|~latt_str(sk0_8)|cast_to_el_of_LattPOSet(sk0_8,sk0_6(the_carrier(sk0_8)))=sk0_6(the_carrier(sk0_8))),
% 2.46/0.67 inference(resolution,[status(thm)],[f1934,f436])).
% 2.46/0.67 fof(f2429,plain,(
% 2.46/0.67 spl0_35|~spl0_33|spl0_289),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2428,f870,f860,f2425])).
% 2.46/0.67 fof(f2441,plain,(
% 2.46/0.67 one_sorted_str(sk0_8)),
% 2.46/0.67 inference(resolution,[status(thm)],[f858,f248])).
% 2.46/0.67 fof(f2446,plain,(
% 2.46/0.67 spl0_290 <=> upper_bounded_semilattstr(sk0_8)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2449,plain,(
% 2.46/0.67 ~latt_str(sk0_8)|empty_carrier(sk0_8)|upper_bounded_semilattstr(sk0_8)|~spl0_61),
% 2.46/0.67 inference(resolution,[status(thm)],[f1010,f178])).
% 2.46/0.67 fof(f2450,plain,(
% 2.46/0.67 ~spl0_33|spl0_35|spl0_290|~spl0_61),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2449,f860,f870,f2446,f1009])).
% 2.46/0.67 fof(f2456,plain,(
% 2.46/0.67 one_sorted_str(sk0_9)),
% 2.46/0.67 inference(resolution,[status(thm)],[f1021,f248])).
% 2.46/0.67 fof(f2464,plain,(
% 2.46/0.67 one_sorted_str(sk0_10)),
% 2.46/0.67 inference(resolution,[status(thm)],[f1191,f248])).
% 2.46/0.67 fof(f2472,plain,(
% 2.46/0.67 one_sorted_str(sk0_11)),
% 2.46/0.67 inference(resolution,[status(thm)],[f1364,f248])).
% 2.46/0.67 fof(f2477,plain,(
% 2.46/0.67 spl0_291 <=> upper_bounded_relstr(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2480,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|upper_bounded_relstr(sk0_12)|~spl0_162),
% 2.46/0.67 inference(resolution,[status(thm)],[f1595,f181])).
% 2.46/0.67 fof(f2481,plain,(
% 2.46/0.67 ~spl0_159|spl0_291|~spl0_162),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2480,f1581,f2477,f1594])).
% 2.46/0.67 fof(f2482,plain,(
% 2.46/0.67 spl0_292 <=> lower_bounded_relstr(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2485,plain,(
% 2.46/0.67 ~rel_str(sk0_12)|lower_bounded_relstr(sk0_12)|~spl0_162),
% 2.46/0.67 inference(resolution,[status(thm)],[f1595,f180])).
% 2.46/0.67 fof(f2486,plain,(
% 2.46/0.67 ~spl0_159|spl0_292|~spl0_162),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2485,f1581,f2482,f1594])).
% 2.46/0.67 fof(f2491,plain,(
% 2.46/0.67 spl0_293 <=> upper_bounded_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2494,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|upper_bounded_relstr(sk0_16)|~spl0_170),
% 2.46/0.67 inference(resolution,[status(thm)],[f1643,f181])).
% 2.46/0.67 fof(f2495,plain,(
% 2.46/0.67 ~spl0_167|spl0_293|~spl0_170),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2494,f1625,f2491,f1642])).
% 2.46/0.67 fof(f2496,plain,(
% 2.46/0.67 spl0_294 <=> lower_bounded_relstr(sk0_16)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2499,plain,(
% 2.46/0.67 ~rel_str(sk0_16)|lower_bounded_relstr(sk0_16)|~spl0_170),
% 2.46/0.67 inference(resolution,[status(thm)],[f1643,f180])).
% 2.46/0.67 fof(f2500,plain,(
% 2.46/0.67 ~spl0_167|spl0_294|~spl0_170),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2499,f1625,f2496,f1642])).
% 2.46/0.67 fof(f2501,plain,(
% 2.46/0.67 spl0_295 <=> upper_bounded_relstr(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2504,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|upper_bounded_relstr(sk0_17)|~spl0_180),
% 2.46/0.67 inference(resolution,[status(thm)],[f1695,f181])).
% 2.46/0.67 fof(f2505,plain,(
% 2.46/0.67 ~spl0_177|spl0_295|~spl0_180),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2504,f1677,f2501,f1694])).
% 2.46/0.67 fof(f2506,plain,(
% 2.46/0.67 spl0_296 <=> lower_bounded_relstr(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2509,plain,(
% 2.46/0.67 ~rel_str(sk0_17)|lower_bounded_relstr(sk0_17)|~spl0_180),
% 2.46/0.67 inference(resolution,[status(thm)],[f1695,f180])).
% 2.46/0.67 fof(f2510,plain,(
% 2.46/0.67 ~spl0_177|spl0_296|~spl0_180),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2509,f1677,f2506,f1694])).
% 2.46/0.67 fof(f2522,plain,(
% 2.46/0.67 one_sorted_str(sk0_26)),
% 2.46/0.67 inference(resolution,[status(thm)],[f1772,f248])).
% 2.46/0.67 fof(f2530,plain,(
% 2.46/0.67 one_sorted_str(sk0_27)),
% 2.46/0.67 inference(resolution,[status(thm)],[f1784,f248])).
% 2.46/0.67 fof(f2547,plain,(
% 2.46/0.67 ![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))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f289,f206])).
% 2.46/0.67 fof(f2548,plain,(
% 2.46/0.67 ![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))))),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f207,f2547])).
% 2.46/0.67 fof(f2549,plain,(
% 2.46/0.67 ![X0]: (~latt_str(boole_lattice(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2548,f281])).
% 2.46/0.67 fof(f2629,plain,(
% 2.46/0.67 ![X0]: (boole_POSet(X0)=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2549,f223])).
% 2.46/0.67 fof(f2630,plain,(
% 2.46/0.67 ![X0]: (the_carrier(boole_POSet(X0))=the_carrier(boole_lattice(X0)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2629,f1982])).
% 2.46/0.67 fof(f2637,plain,(
% 2.46/0.67 ![X0,X1,X2]: (~element(X0,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_POSet(X1)))|below(boole_lattice(X1),X0,X2)|~subset(X0,X2))),
% 2.46/0.67 inference(backward_demodulation,[status(thm)],[f2630,f605])).
% 2.46/0.67 fof(f2638,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2630,f2637])).
% 2.46/0.67 fof(f2639,plain,(
% 2.46/0.67 ![X0,X1,X2]: (~element(X0,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_POSet(X1)))|~below(boole_lattice(X1),X0,X2)|subset(X0,X2))),
% 2.46/0.67 inference(backward_demodulation,[status(thm)],[f2630,f604])).
% 2.46/0.67 fof(f2640,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2630,f2639])).
% 2.46/0.67 fof(f2641,plain,(
% 2.46/0.67 ![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_lattice(X0)))|below_refl(boole_lattice(X0),X1,X1))),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2630,f596])).
% 2.46/0.67 fof(f2642,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2630,f2641])).
% 2.46/0.67 fof(f2643,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2642,f281])).
% 2.46/0.67 fof(f2644,plain,(
% 2.46/0.67 ![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)))))),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2630,f240])).
% 2.46/0.67 fof(f2645,plain,(
% 2.46/0.67 ![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))))),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f207,f2644])).
% 2.46/0.67 fof(f2646,plain,(
% 2.46/0.67 ![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))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2645,f281])).
% 2.46/0.67 fof(f2647,plain,(
% 2.46/0.67 ![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)),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2630,f209])).
% 2.46/0.67 fof(f2648,plain,(
% 2.46/0.67 ![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)),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2647,f281])).
% 2.46/0.67 fof(f2654,plain,(
% 2.46/0.67 ![X0,X1]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|cast_to_el_of_LattPOSet(boole_lattice(X0),X1)=X1)),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2648,f289])).
% 2.46/0.67 fof(f2657,plain,(
% 2.46/0.67 spl0_297 <=> latt_str(boole_lattice(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2659,plain,(
% 2.46/0.67 ~latt_str(boole_lattice(sk0_28))|spl0_297),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2657])).
% 2.46/0.67 fof(f2660,plain,(
% 2.46/0.67 spl0_298 <=> cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29)=sk0_29),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2661,plain,(
% 2.46/0.67 cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29)=sk0_29|~spl0_298),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2660])).
% 2.46/0.67 fof(f2663,plain,(
% 2.46/0.67 ~latt_str(boole_lattice(sk0_28))|cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29)=sk0_29),
% 2.46/0.67 inference(resolution,[status(thm)],[f2654,f611])).
% 2.46/0.67 fof(f2664,plain,(
% 2.46/0.67 ~spl0_297|spl0_298),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2663,f2657,f2660])).
% 2.46/0.67 fof(f2665,plain,(
% 2.46/0.67 spl0_299 <=> cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30)=sk0_30),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2666,plain,(
% 2.46/0.67 cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30)=sk0_30|~spl0_299),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2665])).
% 2.46/0.67 fof(f2668,plain,(
% 2.46/0.67 ~latt_str(boole_lattice(sk0_28))|cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30)=sk0_30),
% 2.46/0.67 inference(resolution,[status(thm)],[f2654,f612])).
% 2.46/0.67 fof(f2669,plain,(
% 2.46/0.67 ~spl0_297|spl0_299),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2668,f2657,f2665])).
% 2.46/0.67 fof(f2670,plain,(
% 2.46/0.67 $false|spl0_297),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2659,f223])).
% 2.46/0.67 fof(f2671,plain,(
% 2.46/0.67 spl0_297),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2670])).
% 2.46/0.67 fof(f2673,plain,(
% 2.46/0.67 ![X0]: (~element(X0,the_carrier(boole_POSet(sk0_28)))|below(boole_lattice(sk0_28),sk0_29,X0)|~subset(sk0_29,X0))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2638,f611])).
% 2.46/0.67 fof(f2683,plain,(
% 2.46/0.67 spl0_302 <=> below(boole_lattice(sk0_28),sk0_29,sk0_29)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2686,plain,(
% 2.46/0.67 spl0_303 <=> subset(sk0_29,sk0_29)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2688,plain,(
% 2.46/0.67 ~subset(sk0_29,sk0_29)|spl0_303),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2686])).
% 2.46/0.67 fof(f2691,plain,(
% 2.46/0.67 spl0_304 <=> below(boole_lattice(sk0_28),sk0_29,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2692,plain,(
% 2.46/0.67 below(boole_lattice(sk0_28),sk0_29,sk0_30)|~spl0_304),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2691])).
% 2.46/0.67 fof(f2694,plain,(
% 2.46/0.67 below(boole_lattice(sk0_28),sk0_29,sk0_30)|~subset(sk0_29,sk0_30)),
% 2.46/0.67 inference(resolution,[status(thm)],[f2673,f612])).
% 2.46/0.67 fof(f2695,plain,(
% 2.46/0.67 spl0_304|~spl0_1),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2694,f2691,f640])).
% 2.46/0.67 fof(f2696,plain,(
% 2.46/0.67 $false|spl0_303),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2688,f593])).
% 2.46/0.67 fof(f2697,plain,(
% 2.46/0.67 spl0_303),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2696])).
% 2.46/0.67 fof(f2714,plain,(
% 2.46/0.67 spl0_309 <=> below(boole_lattice(sk0_28),sk0_30,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2717,plain,(
% 2.46/0.67 spl0_310 <=> subset(sk0_30,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2719,plain,(
% 2.46/0.67 ~subset(sk0_30,sk0_30)|spl0_310),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2717])).
% 2.46/0.67 fof(f2722,plain,(
% 2.46/0.67 $false|spl0_310),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2719,f593])).
% 2.46/0.67 fof(f2723,plain,(
% 2.46/0.67 spl0_310),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2722])).
% 2.46/0.67 fof(f2728,plain,(
% 2.46/0.67 ~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|subset(sk0_29,sk0_30)|~spl0_304),
% 2.46/0.67 inference(resolution,[status(thm)],[f2640,f2692])).
% 2.46/0.67 fof(f2729,plain,(
% 2.46/0.67 ~spl0_20|~spl0_18|spl0_1|~spl0_304),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2728,f772,f764,f640,f2691])).
% 2.46/0.67 fof(f2753,plain,(
% 2.46/0.67 ![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))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2646,f289])).
% 2.46/0.67 fof(f2756,plain,(
% 2.46/0.67 spl0_311 <=> element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2759,plain,(
% 2.46/0.67 ~latt_str(boole_lattice(sk0_28))|element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2753,f611])).
% 2.46/0.67 fof(f2760,plain,(
% 2.46/0.67 ~spl0_297|spl0_311),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2759,f2657,f2756])).
% 2.46/0.67 fof(f2761,plain,(
% 2.46/0.67 spl0_312 <=> element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2764,plain,(
% 2.46/0.67 ~latt_str(boole_lattice(sk0_28))|element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),the_carrier(boole_POSet(sk0_28)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2753,f612])).
% 2.46/0.67 fof(f2765,plain,(
% 2.46/0.67 ~spl0_297|spl0_312),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2764,f2657,f2761])).
% 2.46/0.67 fof(f2793,plain,(
% 2.46/0.67 ![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))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2643,f285])).
% 2.46/0.67 fof(f2794,plain,(
% 2.46/0.67 ![X0,X1]: (~meet_absorbing(boole_lattice(X0))|~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2793,f277])).
% 2.46/0.67 fof(f2795,plain,(
% 2.46/0.67 ![X0,X1]: (~join_absorbing(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2794,f287])).
% 2.46/0.67 fof(f2796,plain,(
% 2.46/0.67 spl0_318 <=> meet_absorbing(boole_lattice(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2798,plain,(
% 2.46/0.67 ~meet_absorbing(boole_lattice(sk0_28))|spl0_318),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2796])).
% 2.46/0.67 fof(f2799,plain,(
% 2.46/0.67 spl0_319 <=> join_absorbing(boole_lattice(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2801,plain,(
% 2.46/0.67 ~join_absorbing(boole_lattice(sk0_28))|spl0_319),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2799])).
% 2.46/0.67 fof(f2802,plain,(
% 2.46/0.67 spl0_320 <=> below_refl(boole_lattice(sk0_28),sk0_29,sk0_29)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2803,plain,(
% 2.46/0.67 below_refl(boole_lattice(sk0_28),sk0_29,sk0_29)|~spl0_320),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2802])).
% 2.46/0.67 fof(f2805,plain,(
% 2.46/0.67 ![X0]: (~meet_absorbing(boole_lattice(sk0_28))|~join_absorbing(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,sk0_29))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2793,f611])).
% 2.46/0.67 fof(f2806,plain,(
% 2.46/0.67 ~spl0_318|~spl0_319|~spl0_297|spl0_5|spl0_320),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2805,f2796,f2799,f2657,f658,f2802])).
% 2.46/0.67 fof(f2807,plain,(
% 2.46/0.67 spl0_321 <=> below_refl(boole_lattice(sk0_28),sk0_30,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2808,plain,(
% 2.46/0.67 below_refl(boole_lattice(sk0_28),sk0_30,sk0_30)|~spl0_321),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2807])).
% 2.46/0.67 fof(f2810,plain,(
% 2.46/0.67 ![X0]: (~meet_absorbing(boole_lattice(sk0_28))|~join_absorbing(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_30,sk0_30))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2793,f612])).
% 2.46/0.67 fof(f2811,plain,(
% 2.46/0.67 ~spl0_318|~spl0_319|~spl0_297|spl0_5|spl0_321),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2810,f2796,f2799,f2657,f658,f2807])).
% 2.46/0.67 fof(f2812,plain,(
% 2.46/0.67 $false|spl0_319),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2801,f288])).
% 2.46/0.67 fof(f2813,plain,(
% 2.46/0.67 spl0_319),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2812])).
% 2.46/0.67 fof(f2814,plain,(
% 2.46/0.67 $false|spl0_318),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2798,f287])).
% 2.46/0.67 fof(f2815,plain,(
% 2.46/0.67 spl0_318),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2814])).
% 2.46/0.67 fof(f2816,plain,(
% 2.46/0.67 ![X0,X1]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),sk0_6(the_carrier(boole_POSet(X0))),sk0_6(the_carrier(boole_POSet(X0)))))),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2795,f288])).
% 2.46/0.67 fof(f2819,plain,(
% 2.46/0.67 spl0_322 <=> below_refl(boole_lattice(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2822,plain,(
% 2.46/0.67 ~latt_str(boole_lattice(sk0_28))|below_refl(boole_lattice(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 inference(resolution,[status(thm)],[f2816,f611])).
% 2.46/0.67 fof(f2823,plain,(
% 2.46/0.67 ~spl0_297|spl0_322),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2822,f2657,f2819])).
% 2.46/0.67 fof(f2831,plain,(
% 2.46/0.67 spl0_323 <=> transitive_relstr(sk0_22)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2833,plain,(
% 2.46/0.67 ~transitive_relstr(sk0_22)|spl0_323),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2831])).
% 2.46/0.67 fof(f2834,plain,(
% 2.46/0.67 spl0_324 <=> relation(the_InternalRel(sk0_22))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2837,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|relation(the_InternalRel(sk0_22))),
% 2.46/0.67 inference(resolution,[status(thm)],[f331,f546])).
% 2.46/0.67 fof(f2838,plain,(
% 2.46/0.67 ~spl0_249|~spl0_323|~spl0_185|spl0_324),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2837,f2109,f2831,f1719,f2834])).
% 2.46/0.67 fof(f2839,plain,(
% 2.46/0.67 spl0_325 <=> transitive_relstr(sk0_18)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2841,plain,(
% 2.46/0.67 ~transitive_relstr(sk0_18)|spl0_325),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2839])).
% 2.46/0.67 fof(f2842,plain,(
% 2.46/0.67 spl0_326 <=> relation(the_InternalRel(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2845,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|relation(the_InternalRel(sk0_18))),
% 2.46/0.67 inference(resolution,[status(thm)],[f331,f531])).
% 2.46/0.67 fof(f2846,plain,(
% 2.46/0.67 ~spl0_252|~spl0_325|~spl0_183|spl0_326),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2845,f2124,f2839,f1709,f2842])).
% 2.46/0.67 fof(f2847,plain,(
% 2.46/0.67 spl0_327 <=> transitive_relstr(sk0_17)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2849,plain,(
% 2.46/0.67 ~transitive_relstr(sk0_17)|spl0_327),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2847])).
% 2.46/0.67 fof(f2850,plain,(
% 2.46/0.67 spl0_328 <=> relation(the_InternalRel(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2853,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|relation(the_InternalRel(sk0_17))),
% 2.46/0.67 inference(resolution,[status(thm)],[f331,f521])).
% 2.46/0.67 fof(f2854,plain,(
% 2.46/0.67 ~spl0_246|~spl0_327|~spl0_177|spl0_328),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2853,f2094,f2847,f1677,f2850])).
% 2.46/0.67 fof(f2855,plain,(
% 2.46/0.67 spl0_329 <=> relation(the_InternalRel(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2858,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|relation(the_InternalRel(sk0_16))),
% 2.46/0.67 inference(resolution,[status(thm)],[f331,f510])).
% 2.46/0.67 fof(f2859,plain,(
% 2.46/0.67 ~spl0_173|~spl0_176|~spl0_167|spl0_329),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2858,f1657,f1670,f1625,f2855])).
% 2.46/0.67 fof(f2860,plain,(
% 2.46/0.67 spl0_330 <=> transitive_relstr(sk0_12)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2862,plain,(
% 2.46/0.67 ~transitive_relstr(sk0_12)|spl0_330),
% 2.46/0.67 inference(component_clause,[status(thm)],[f2860])).
% 2.46/0.67 fof(f2863,plain,(
% 2.46/0.67 spl0_331 <=> relation(the_InternalRel(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2866,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|relation(the_InternalRel(sk0_12))),
% 2.46/0.67 inference(resolution,[status(thm)],[f331,f493])).
% 2.46/0.67 fof(f2867,plain,(
% 2.46/0.67 ~spl0_241|~spl0_330|~spl0_159|spl0_331),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2866,f2069,f2860,f1581,f2863])).
% 2.46/0.67 fof(f2868,plain,(
% 2.46/0.67 $false|spl0_330),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2862,f492])).
% 2.46/0.67 fof(f2869,plain,(
% 2.46/0.67 spl0_330),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2868])).
% 2.46/0.67 fof(f2870,plain,(
% 2.46/0.67 $false|spl0_327),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2849,f520])).
% 2.46/0.67 fof(f2871,plain,(
% 2.46/0.67 spl0_327),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2870])).
% 2.46/0.67 fof(f2872,plain,(
% 2.46/0.67 $false|spl0_325),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2841,f530])).
% 2.46/0.67 fof(f2873,plain,(
% 2.46/0.67 spl0_325),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2872])).
% 2.46/0.67 fof(f2874,plain,(
% 2.46/0.67 $false|spl0_323),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2833,f545])).
% 2.46/0.67 fof(f2875,plain,(
% 2.46/0.67 spl0_323),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f2874])).
% 2.46/0.67 fof(f2878,plain,(
% 2.46/0.67 spl0_332 <=> reflexive(the_InternalRel(sk0_22))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2881,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|reflexive(the_InternalRel(sk0_22))),
% 2.46/0.67 inference(resolution,[status(thm)],[f332,f546])).
% 2.46/0.67 fof(f2882,plain,(
% 2.46/0.67 ~spl0_249|~spl0_323|~spl0_185|spl0_332),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2881,f2109,f2831,f1719,f2878])).
% 2.46/0.67 fof(f2883,plain,(
% 2.46/0.67 spl0_333 <=> reflexive(the_InternalRel(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2886,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|reflexive(the_InternalRel(sk0_18))),
% 2.46/0.67 inference(resolution,[status(thm)],[f332,f531])).
% 2.46/0.67 fof(f2887,plain,(
% 2.46/0.67 ~spl0_252|~spl0_325|~spl0_183|spl0_333),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2886,f2124,f2839,f1709,f2883])).
% 2.46/0.67 fof(f2888,plain,(
% 2.46/0.67 spl0_334 <=> reflexive(the_InternalRel(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2891,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|reflexive(the_InternalRel(sk0_17))),
% 2.46/0.67 inference(resolution,[status(thm)],[f332,f521])).
% 2.46/0.67 fof(f2892,plain,(
% 2.46/0.67 ~spl0_246|~spl0_327|~spl0_177|spl0_334),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2891,f2094,f2847,f1677,f2888])).
% 2.46/0.67 fof(f2893,plain,(
% 2.46/0.67 spl0_335 <=> reflexive(the_InternalRel(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2896,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|reflexive(the_InternalRel(sk0_16))),
% 2.46/0.67 inference(resolution,[status(thm)],[f332,f510])).
% 2.46/0.67 fof(f2897,plain,(
% 2.46/0.67 ~spl0_173|~spl0_176|~spl0_167|spl0_335),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2896,f1657,f1670,f1625,f2893])).
% 2.46/0.67 fof(f2898,plain,(
% 2.46/0.67 spl0_336 <=> reflexive(the_InternalRel(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2901,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|reflexive(the_InternalRel(sk0_12))),
% 2.46/0.67 inference(resolution,[status(thm)],[f332,f493])).
% 2.46/0.67 fof(f2902,plain,(
% 2.46/0.67 ~spl0_241|~spl0_330|~spl0_159|spl0_336),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2901,f2069,f2860,f1581,f2898])).
% 2.46/0.67 fof(f2907,plain,(
% 2.46/0.67 spl0_337 <=> antisymmetric(the_InternalRel(sk0_22))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2910,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|antisymmetric(the_InternalRel(sk0_22))),
% 2.46/0.67 inference(resolution,[status(thm)],[f333,f546])).
% 2.46/0.67 fof(f2911,plain,(
% 2.46/0.67 ~spl0_249|~spl0_323|~spl0_185|spl0_337),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2910,f2109,f2831,f1719,f2907])).
% 2.46/0.67 fof(f2912,plain,(
% 2.46/0.67 spl0_338 <=> antisymmetric(the_InternalRel(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2915,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|antisymmetric(the_InternalRel(sk0_18))),
% 2.46/0.67 inference(resolution,[status(thm)],[f333,f531])).
% 2.46/0.67 fof(f2916,plain,(
% 2.46/0.67 ~spl0_252|~spl0_325|~spl0_183|spl0_338),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2915,f2124,f2839,f1709,f2912])).
% 2.46/0.67 fof(f2917,plain,(
% 2.46/0.67 spl0_339 <=> antisymmetric(the_InternalRel(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2920,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|antisymmetric(the_InternalRel(sk0_17))),
% 2.46/0.67 inference(resolution,[status(thm)],[f333,f521])).
% 2.46/0.67 fof(f2921,plain,(
% 2.46/0.67 ~spl0_246|~spl0_327|~spl0_177|spl0_339),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2920,f2094,f2847,f1677,f2917])).
% 2.46/0.67 fof(f2922,plain,(
% 2.46/0.67 spl0_340 <=> antisymmetric(the_InternalRel(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2925,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|antisymmetric(the_InternalRel(sk0_16))),
% 2.46/0.67 inference(resolution,[status(thm)],[f333,f510])).
% 2.46/0.67 fof(f2926,plain,(
% 2.46/0.67 ~spl0_173|~spl0_176|~spl0_167|spl0_340),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2925,f1657,f1670,f1625,f2922])).
% 2.46/0.67 fof(f2927,plain,(
% 2.46/0.67 spl0_341 <=> antisymmetric(the_InternalRel(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2930,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|antisymmetric(the_InternalRel(sk0_12))),
% 2.46/0.67 inference(resolution,[status(thm)],[f333,f493])).
% 2.46/0.67 fof(f2931,plain,(
% 2.46/0.67 ~spl0_241|~spl0_330|~spl0_159|spl0_341),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2930,f2069,f2860,f1581,f2927])).
% 2.46/0.67 fof(f2936,plain,(
% 2.46/0.67 spl0_342 <=> transitive(the_InternalRel(sk0_22))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2939,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|transitive(the_InternalRel(sk0_22))),
% 2.46/0.67 inference(resolution,[status(thm)],[f334,f546])).
% 2.46/0.67 fof(f2940,plain,(
% 2.46/0.67 ~spl0_249|~spl0_323|~spl0_185|spl0_342),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2939,f2109,f2831,f1719,f2936])).
% 2.46/0.67 fof(f2941,plain,(
% 2.46/0.67 spl0_343 <=> transitive(the_InternalRel(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2944,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|transitive(the_InternalRel(sk0_18))),
% 2.46/0.67 inference(resolution,[status(thm)],[f334,f531])).
% 2.46/0.67 fof(f2945,plain,(
% 2.46/0.67 ~spl0_252|~spl0_325|~spl0_183|spl0_343),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2944,f2124,f2839,f1709,f2941])).
% 2.46/0.67 fof(f2946,plain,(
% 2.46/0.67 spl0_344 <=> transitive(the_InternalRel(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2949,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|transitive(the_InternalRel(sk0_17))),
% 2.46/0.67 inference(resolution,[status(thm)],[f334,f521])).
% 2.46/0.67 fof(f2950,plain,(
% 2.46/0.67 ~spl0_246|~spl0_327|~spl0_177|spl0_344),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2949,f2094,f2847,f1677,f2946])).
% 2.46/0.67 fof(f2951,plain,(
% 2.46/0.67 spl0_345 <=> transitive(the_InternalRel(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2954,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|transitive(the_InternalRel(sk0_16))),
% 2.46/0.67 inference(resolution,[status(thm)],[f334,f510])).
% 2.46/0.67 fof(f2955,plain,(
% 2.46/0.67 ~spl0_173|~spl0_176|~spl0_167|spl0_345),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2954,f1657,f1670,f1625,f2951])).
% 2.46/0.67 fof(f2956,plain,(
% 2.46/0.67 spl0_346 <=> transitive(the_InternalRel(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2959,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|transitive(the_InternalRel(sk0_12))),
% 2.46/0.67 inference(resolution,[status(thm)],[f334,f493])).
% 2.46/0.67 fof(f2960,plain,(
% 2.46/0.67 ~spl0_241|~spl0_330|~spl0_159|spl0_346),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2959,f2069,f2860,f1581,f2956])).
% 2.46/0.67 fof(f2992,plain,(
% 2.46/0.67 spl0_347 <=> transitive(the_InternalRel(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f2995,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_8))|~transitive_relstr(poset_of_lattice(sk0_8))|~rel_str(poset_of_lattice(sk0_8))|transitive(the_InternalRel(poset_of_lattice(sk0_8)))|~spl0_50),
% 2.46/0.67 inference(resolution,[status(thm)],[f946,f334])).
% 2.46/0.67 fof(f2996,plain,(
% 2.46/0.67 ~spl0_52|~spl0_51|~spl0_49|spl0_347|~spl0_50),
% 2.46/0.67 inference(split_clause,[status(thm)],[f2995,f955,f950,f940,f2992,f945])).
% 2.46/0.67 fof(f2997,plain,(
% 2.46/0.67 spl0_348 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3000,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_8))|~transitive_relstr(poset_of_lattice(sk0_8))|~rel_str(poset_of_lattice(sk0_8))|antisymmetric(the_InternalRel(poset_of_lattice(sk0_8)))|~spl0_50),
% 2.46/0.67 inference(resolution,[status(thm)],[f946,f333])).
% 2.46/0.67 fof(f3001,plain,(
% 2.46/0.67 ~spl0_52|~spl0_51|~spl0_49|spl0_348|~spl0_50),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3000,f955,f950,f940,f2997,f945])).
% 2.46/0.67 fof(f3002,plain,(
% 2.46/0.67 spl0_349 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3005,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_8))|~transitive_relstr(poset_of_lattice(sk0_8))|~rel_str(poset_of_lattice(sk0_8))|reflexive(the_InternalRel(poset_of_lattice(sk0_8)))|~spl0_50),
% 2.46/0.67 inference(resolution,[status(thm)],[f946,f332])).
% 2.46/0.67 fof(f3006,plain,(
% 2.46/0.67 ~spl0_52|~spl0_51|~spl0_49|spl0_349|~spl0_50),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3005,f955,f950,f940,f3002,f945])).
% 2.46/0.67 fof(f3007,plain,(
% 2.46/0.67 spl0_350 <=> relation(the_InternalRel(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3010,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_8))|~transitive_relstr(poset_of_lattice(sk0_8))|~rel_str(poset_of_lattice(sk0_8))|relation(the_InternalRel(poset_of_lattice(sk0_8)))|~spl0_50),
% 2.46/0.67 inference(resolution,[status(thm)],[f946,f331])).
% 2.46/0.67 fof(f3011,plain,(
% 2.46/0.67 ~spl0_52|~spl0_51|~spl0_49|spl0_350|~spl0_50),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3010,f955,f950,f940,f3007,f945])).
% 2.46/0.67 fof(f3012,plain,(
% 2.46/0.67 spl0_351 <=> poset_of_lattice(sk0_8)=rel_str_of(the_carrier(poset_of_lattice(sk0_8)),the_InternalRel(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3015,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_8))|poset_of_lattice(sk0_8)=rel_str_of(the_carrier(poset_of_lattice(sk0_8)),the_InternalRel(poset_of_lattice(sk0_8)))|~spl0_53),
% 2.46/0.67 inference(resolution,[status(thm)],[f961,f124])).
% 2.46/0.67 fof(f3016,plain,(
% 2.46/0.67 ~spl0_49|spl0_351|~spl0_53),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3015,f940,f3012,f960])).
% 2.46/0.67 fof(f3017,plain,(
% 2.46/0.67 spl0_352 <=> bounded_relstr(poset_of_lattice(sk0_8))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3020,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_8))|~lower_bounded_relstr(poset_of_lattice(sk0_8))|bounded_relstr(poset_of_lattice(sk0_8))|~spl0_62),
% 2.46/0.67 inference(resolution,[status(thm)],[f1015,f190])).
% 2.46/0.67 fof(f3021,plain,(
% 2.46/0.67 ~spl0_49|~spl0_59|spl0_352|~spl0_62),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3020,f940,f1001,f3017,f1014])).
% 2.46/0.67 fof(f3026,plain,(
% 2.46/0.67 spl0_353 <=> transitive(the_InternalRel(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3029,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_9))|~transitive_relstr(poset_of_lattice(sk0_9))|~rel_str(poset_of_lattice(sk0_9))|transitive(the_InternalRel(poset_of_lattice(sk0_9)))|~spl0_80),
% 2.46/0.67 inference(resolution,[status(thm)],[f1114,f334])).
% 2.46/0.67 fof(f3030,plain,(
% 2.46/0.67 ~spl0_82|~spl0_81|~spl0_79|spl0_353|~spl0_80),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3029,f1123,f1118,f1108,f3026,f1113])).
% 2.46/0.67 fof(f3031,plain,(
% 2.46/0.67 spl0_354 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3034,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_9))|~transitive_relstr(poset_of_lattice(sk0_9))|~rel_str(poset_of_lattice(sk0_9))|antisymmetric(the_InternalRel(poset_of_lattice(sk0_9)))|~spl0_80),
% 2.46/0.67 inference(resolution,[status(thm)],[f1114,f333])).
% 2.46/0.67 fof(f3035,plain,(
% 2.46/0.67 ~spl0_82|~spl0_81|~spl0_79|spl0_354|~spl0_80),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3034,f1123,f1118,f1108,f3031,f1113])).
% 2.46/0.67 fof(f3036,plain,(
% 2.46/0.67 spl0_355 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3039,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_9))|~transitive_relstr(poset_of_lattice(sk0_9))|~rel_str(poset_of_lattice(sk0_9))|reflexive(the_InternalRel(poset_of_lattice(sk0_9)))|~spl0_80),
% 2.46/0.67 inference(resolution,[status(thm)],[f1114,f332])).
% 2.46/0.67 fof(f3040,plain,(
% 2.46/0.67 ~spl0_82|~spl0_81|~spl0_79|spl0_355|~spl0_80),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3039,f1123,f1118,f1108,f3036,f1113])).
% 2.46/0.67 fof(f3041,plain,(
% 2.46/0.67 spl0_356 <=> relation(the_InternalRel(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3044,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_9))|~transitive_relstr(poset_of_lattice(sk0_9))|~rel_str(poset_of_lattice(sk0_9))|relation(the_InternalRel(poset_of_lattice(sk0_9)))|~spl0_80),
% 2.46/0.67 inference(resolution,[status(thm)],[f1114,f331])).
% 2.46/0.67 fof(f3045,plain,(
% 2.46/0.67 ~spl0_82|~spl0_81|~spl0_79|spl0_356|~spl0_80),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3044,f1123,f1118,f1108,f3041,f1113])).
% 2.46/0.67 fof(f3046,plain,(
% 2.46/0.67 spl0_357 <=> poset_of_lattice(sk0_9)=rel_str_of(the_carrier(poset_of_lattice(sk0_9)),the_InternalRel(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3049,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_9))|poset_of_lattice(sk0_9)=rel_str_of(the_carrier(poset_of_lattice(sk0_9)),the_InternalRel(poset_of_lattice(sk0_9)))|~spl0_83),
% 2.46/0.67 inference(resolution,[status(thm)],[f1129,f124])).
% 2.46/0.67 fof(f3050,plain,(
% 2.46/0.67 ~spl0_79|spl0_357|~spl0_83),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3049,f1108,f3046,f1128])).
% 2.46/0.67 fof(f3051,plain,(
% 2.46/0.67 spl0_358 <=> bounded_relstr(poset_of_lattice(sk0_9))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3054,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_9))|~lower_bounded_relstr(poset_of_lattice(sk0_9))|bounded_relstr(poset_of_lattice(sk0_9))|~spl0_91),
% 2.46/0.67 inference(resolution,[status(thm)],[f1178,f190])).
% 2.46/0.67 fof(f3055,plain,(
% 2.46/0.67 ~spl0_79|~spl0_88|spl0_358|~spl0_91),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3054,f1108,f1164,f3051,f1177])).
% 2.46/0.67 fof(f3060,plain,(
% 2.46/0.67 spl0_359 <=> transitive(the_InternalRel(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3063,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_10))|~transitive_relstr(poset_of_lattice(sk0_10))|~rel_str(poset_of_lattice(sk0_10))|transitive(the_InternalRel(poset_of_lattice(sk0_10)))|~spl0_110),
% 2.46/0.67 inference(resolution,[status(thm)],[f1279,f334])).
% 2.46/0.67 fof(f3064,plain,(
% 2.46/0.67 ~spl0_112|~spl0_111|~spl0_109|spl0_359|~spl0_110),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3063,f1288,f1283,f1273,f3060,f1278])).
% 2.46/0.67 fof(f3065,plain,(
% 2.46/0.67 spl0_360 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3068,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_10))|~transitive_relstr(poset_of_lattice(sk0_10))|~rel_str(poset_of_lattice(sk0_10))|antisymmetric(the_InternalRel(poset_of_lattice(sk0_10)))|~spl0_110),
% 2.46/0.67 inference(resolution,[status(thm)],[f1279,f333])).
% 2.46/0.67 fof(f3069,plain,(
% 2.46/0.67 ~spl0_112|~spl0_111|~spl0_109|spl0_360|~spl0_110),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3068,f1288,f1283,f1273,f3065,f1278])).
% 2.46/0.67 fof(f3070,plain,(
% 2.46/0.67 spl0_361 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3073,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_10))|~transitive_relstr(poset_of_lattice(sk0_10))|~rel_str(poset_of_lattice(sk0_10))|reflexive(the_InternalRel(poset_of_lattice(sk0_10)))|~spl0_110),
% 2.46/0.67 inference(resolution,[status(thm)],[f1279,f332])).
% 2.46/0.67 fof(f3074,plain,(
% 2.46/0.67 ~spl0_112|~spl0_111|~spl0_109|spl0_361|~spl0_110),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3073,f1288,f1283,f1273,f3070,f1278])).
% 2.46/0.67 fof(f3075,plain,(
% 2.46/0.67 spl0_362 <=> relation(the_InternalRel(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3078,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_10))|~transitive_relstr(poset_of_lattice(sk0_10))|~rel_str(poset_of_lattice(sk0_10))|relation(the_InternalRel(poset_of_lattice(sk0_10)))|~spl0_110),
% 2.46/0.67 inference(resolution,[status(thm)],[f1279,f331])).
% 2.46/0.67 fof(f3079,plain,(
% 2.46/0.67 ~spl0_112|~spl0_111|~spl0_109|spl0_362|~spl0_110),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3078,f1288,f1283,f1273,f3075,f1278])).
% 2.46/0.67 fof(f3080,plain,(
% 2.46/0.67 spl0_363 <=> poset_of_lattice(sk0_10)=rel_str_of(the_carrier(poset_of_lattice(sk0_10)),the_InternalRel(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3083,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_10))|poset_of_lattice(sk0_10)=rel_str_of(the_carrier(poset_of_lattice(sk0_10)),the_InternalRel(poset_of_lattice(sk0_10)))|~spl0_113),
% 2.46/0.67 inference(resolution,[status(thm)],[f1294,f124])).
% 2.46/0.67 fof(f3084,plain,(
% 2.46/0.67 ~spl0_109|spl0_363|~spl0_113),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3083,f1273,f3080,f1293])).
% 2.46/0.67 fof(f3085,plain,(
% 2.46/0.67 spl0_364 <=> bounded_relstr(poset_of_lattice(sk0_10))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3088,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_10))|~lower_bounded_relstr(poset_of_lattice(sk0_10))|bounded_relstr(poset_of_lattice(sk0_10))|~spl0_121),
% 2.46/0.67 inference(resolution,[status(thm)],[f1343,f190])).
% 2.46/0.67 fof(f3089,plain,(
% 2.46/0.67 ~spl0_109|~spl0_118|spl0_364|~spl0_121),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3088,f1273,f1329,f3085,f1342])).
% 2.46/0.67 fof(f3094,plain,(
% 2.46/0.67 spl0_365 <=> transitive(the_InternalRel(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3097,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_11))|~transitive_relstr(poset_of_lattice(sk0_11))|~rel_str(poset_of_lattice(sk0_11))|transitive(the_InternalRel(poset_of_lattice(sk0_11)))|~spl0_142),
% 2.46/0.67 inference(resolution,[status(thm)],[f1452,f334])).
% 2.46/0.67 fof(f3098,plain,(
% 2.46/0.67 ~spl0_144|~spl0_143|~spl0_141|spl0_365|~spl0_142),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3097,f1461,f1456,f1446,f3094,f1451])).
% 2.46/0.67 fof(f3099,plain,(
% 2.46/0.67 spl0_366 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3102,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_11))|~transitive_relstr(poset_of_lattice(sk0_11))|~rel_str(poset_of_lattice(sk0_11))|antisymmetric(the_InternalRel(poset_of_lattice(sk0_11)))|~spl0_142),
% 2.46/0.67 inference(resolution,[status(thm)],[f1452,f333])).
% 2.46/0.67 fof(f3103,plain,(
% 2.46/0.67 ~spl0_144|~spl0_143|~spl0_141|spl0_366|~spl0_142),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3102,f1461,f1456,f1446,f3099,f1451])).
% 2.46/0.67 fof(f3104,plain,(
% 2.46/0.67 spl0_367 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3107,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_11))|~transitive_relstr(poset_of_lattice(sk0_11))|~rel_str(poset_of_lattice(sk0_11))|reflexive(the_InternalRel(poset_of_lattice(sk0_11)))|~spl0_142),
% 2.46/0.67 inference(resolution,[status(thm)],[f1452,f332])).
% 2.46/0.67 fof(f3108,plain,(
% 2.46/0.67 ~spl0_144|~spl0_143|~spl0_141|spl0_367|~spl0_142),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3107,f1461,f1456,f1446,f3104,f1451])).
% 2.46/0.67 fof(f3109,plain,(
% 2.46/0.67 spl0_368 <=> relation(the_InternalRel(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3112,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_11))|~transitive_relstr(poset_of_lattice(sk0_11))|~rel_str(poset_of_lattice(sk0_11))|relation(the_InternalRel(poset_of_lattice(sk0_11)))|~spl0_142),
% 2.46/0.67 inference(resolution,[status(thm)],[f1452,f331])).
% 2.46/0.67 fof(f3113,plain,(
% 2.46/0.67 ~spl0_144|~spl0_143|~spl0_141|spl0_368|~spl0_142),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3112,f1461,f1456,f1446,f3109,f1451])).
% 2.46/0.67 fof(f3114,plain,(
% 2.46/0.67 spl0_369 <=> poset_of_lattice(sk0_11)=rel_str_of(the_carrier(poset_of_lattice(sk0_11)),the_InternalRel(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3117,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_11))|poset_of_lattice(sk0_11)=rel_str_of(the_carrier(poset_of_lattice(sk0_11)),the_InternalRel(poset_of_lattice(sk0_11)))|~spl0_145),
% 2.46/0.67 inference(resolution,[status(thm)],[f1467,f124])).
% 2.46/0.67 fof(f3118,plain,(
% 2.46/0.67 ~spl0_141|spl0_369|~spl0_145),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3117,f1446,f3114,f1466])).
% 2.46/0.67 fof(f3119,plain,(
% 2.46/0.67 spl0_370 <=> bounded_relstr(poset_of_lattice(sk0_11))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3122,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_11))|~lower_bounded_relstr(poset_of_lattice(sk0_11))|bounded_relstr(poset_of_lattice(sk0_11))|~spl0_154),
% 2.46/0.67 inference(resolution,[status(thm)],[f1521,f190])).
% 2.46/0.67 fof(f3123,plain,(
% 2.46/0.67 ~spl0_141|~spl0_151|spl0_370|~spl0_154),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3122,f1446,f1507,f3119,f1520])).
% 2.46/0.67 fof(f3124,plain,(
% 2.46/0.67 spl0_371 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_11)),the_carrier(poset_of_lattice(sk0_11)),the_carrier(poset_of_lattice(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3127,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_11))|~transitive_relstr(poset_of_lattice(sk0_11))|~rel_str(poset_of_lattice(sk0_11))|v1_partfun1(the_InternalRel(poset_of_lattice(sk0_11)),the_carrier(poset_of_lattice(sk0_11)),the_carrier(poset_of_lattice(sk0_11)))|~spl0_142),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f1452])).
% 2.46/0.67 fof(f3128,plain,(
% 2.46/0.67 ~spl0_144|~spl0_143|~spl0_141|spl0_371|~spl0_142),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3127,f1461,f1456,f1446,f3124,f1451])).
% 2.46/0.67 fof(f3129,plain,(
% 2.46/0.67 spl0_372 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_10)),the_carrier(poset_of_lattice(sk0_10)),the_carrier(poset_of_lattice(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3132,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_10))|~transitive_relstr(poset_of_lattice(sk0_10))|~rel_str(poset_of_lattice(sk0_10))|v1_partfun1(the_InternalRel(poset_of_lattice(sk0_10)),the_carrier(poset_of_lattice(sk0_10)),the_carrier(poset_of_lattice(sk0_10)))|~spl0_110),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f1279])).
% 2.46/0.67 fof(f3133,plain,(
% 2.46/0.67 ~spl0_112|~spl0_111|~spl0_109|spl0_372|~spl0_110),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3132,f1288,f1283,f1273,f3129,f1278])).
% 2.46/0.67 fof(f3134,plain,(
% 2.46/0.67 spl0_373 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_9)),the_carrier(poset_of_lattice(sk0_9)),the_carrier(poset_of_lattice(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3137,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_9))|~transitive_relstr(poset_of_lattice(sk0_9))|~rel_str(poset_of_lattice(sk0_9))|v1_partfun1(the_InternalRel(poset_of_lattice(sk0_9)),the_carrier(poset_of_lattice(sk0_9)),the_carrier(poset_of_lattice(sk0_9)))|~spl0_80),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f1114])).
% 2.46/0.67 fof(f3138,plain,(
% 2.46/0.67 ~spl0_82|~spl0_81|~spl0_79|spl0_373|~spl0_80),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3137,f1123,f1118,f1108,f3134,f1113])).
% 2.46/0.67 fof(f3139,plain,(
% 2.46/0.67 spl0_374 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_8)),the_carrier(poset_of_lattice(sk0_8)),the_carrier(poset_of_lattice(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3142,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_8))|~transitive_relstr(poset_of_lattice(sk0_8))|~rel_str(poset_of_lattice(sk0_8))|v1_partfun1(the_InternalRel(poset_of_lattice(sk0_8)),the_carrier(poset_of_lattice(sk0_8)),the_carrier(poset_of_lattice(sk0_8)))|~spl0_50),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f946])).
% 2.46/0.67 fof(f3143,plain,(
% 2.46/0.67 ~spl0_52|~spl0_51|~spl0_49|spl0_374|~spl0_50),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3142,f955,f950,f940,f3139,f945])).
% 2.46/0.67 fof(f3146,plain,(
% 2.46/0.67 spl0_375 <=> v1_partfun1(the_InternalRel(sk0_22),the_carrier(sk0_22),the_carrier(sk0_22))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3149,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|v1_partfun1(the_InternalRel(sk0_22),the_carrier(sk0_22),the_carrier(sk0_22))),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f546])).
% 2.46/0.67 fof(f3150,plain,(
% 2.46/0.67 ~spl0_249|~spl0_323|~spl0_185|spl0_375),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3149,f2109,f2831,f1719,f3146])).
% 2.46/0.67 fof(f3151,plain,(
% 2.46/0.67 spl0_376 <=> v1_partfun1(the_InternalRel(sk0_18),the_carrier(sk0_18),the_carrier(sk0_18))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3154,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|v1_partfun1(the_InternalRel(sk0_18),the_carrier(sk0_18),the_carrier(sk0_18))),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f531])).
% 2.46/0.67 fof(f3155,plain,(
% 2.46/0.67 ~spl0_252|~spl0_325|~spl0_183|spl0_376),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3154,f2124,f2839,f1709,f3151])).
% 2.46/0.67 fof(f3156,plain,(
% 2.46/0.67 spl0_377 <=> v1_partfun1(the_InternalRel(sk0_17),the_carrier(sk0_17),the_carrier(sk0_17))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3159,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|v1_partfun1(the_InternalRel(sk0_17),the_carrier(sk0_17),the_carrier(sk0_17))),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f521])).
% 2.46/0.67 fof(f3160,plain,(
% 2.46/0.67 ~spl0_246|~spl0_327|~spl0_177|spl0_377),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3159,f2094,f2847,f1677,f3156])).
% 2.46/0.67 fof(f3161,plain,(
% 2.46/0.67 spl0_378 <=> v1_partfun1(the_InternalRel(sk0_16),the_carrier(sk0_16),the_carrier(sk0_16))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3164,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|v1_partfun1(the_InternalRel(sk0_16),the_carrier(sk0_16),the_carrier(sk0_16))),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f510])).
% 2.46/0.67 fof(f3165,plain,(
% 2.46/0.67 ~spl0_173|~spl0_176|~spl0_167|spl0_378),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3164,f1657,f1670,f1625,f3161])).
% 2.46/0.67 fof(f3166,plain,(
% 2.46/0.67 spl0_379 <=> v1_partfun1(the_InternalRel(sk0_12),the_carrier(sk0_12),the_carrier(sk0_12))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3169,plain,(
% 2.46/0.67 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|v1_partfun1(the_InternalRel(sk0_12),the_carrier(sk0_12),the_carrier(sk0_12))),
% 2.46/0.67 inference(resolution,[status(thm)],[f335,f493])).
% 2.46/0.67 fof(f3170,plain,(
% 2.46/0.67 ~spl0_241|~spl0_330|~spl0_159|spl0_379),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3169,f2069,f2860,f1581,f3166])).
% 2.46/0.67 fof(f3310,plain,(
% 2.46/0.67 spl0_380 <=> element(sk0_25(poset_of_lattice(sk0_11)),powerset(the_carrier(poset_of_lattice(sk0_11))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3313,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_11))|element(sk0_25(poset_of_lattice(sk0_11)),powerset(the_carrier(poset_of_lattice(sk0_11))))|~spl0_141),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f1501])).
% 2.46/0.67 fof(f3314,plain,(
% 2.46/0.67 spl0_227|spl0_380|~spl0_141),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3313,f1994,f3310,f1446])).
% 2.46/0.67 fof(f3315,plain,(
% 2.46/0.67 spl0_381 <=> element(sk0_25(poset_of_lattice(sk0_10)),powerset(the_carrier(poset_of_lattice(sk0_10))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3318,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_10))|element(sk0_25(poset_of_lattice(sk0_10)),powerset(the_carrier(poset_of_lattice(sk0_10))))|~spl0_109),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f1328])).
% 2.46/0.67 fof(f3319,plain,(
% 2.46/0.67 spl0_229|spl0_381|~spl0_109),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3318,f2002,f3315,f1273])).
% 2.46/0.67 fof(f3320,plain,(
% 2.46/0.67 spl0_382 <=> element(sk0_25(poset_of_lattice(sk0_9)),powerset(the_carrier(poset_of_lattice(sk0_9))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3323,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_9))|element(sk0_25(poset_of_lattice(sk0_9)),powerset(the_carrier(poset_of_lattice(sk0_9))))|~spl0_79),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f1163])).
% 2.46/0.67 fof(f3324,plain,(
% 2.46/0.67 spl0_231|spl0_382|~spl0_79),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3323,f2010,f3320,f1108])).
% 2.46/0.67 fof(f3325,plain,(
% 2.46/0.67 spl0_383 <=> element(sk0_25(poset_of_lattice(sk0_8)),powerset(the_carrier(poset_of_lattice(sk0_8))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3328,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_8))|element(sk0_25(poset_of_lattice(sk0_8)),powerset(the_carrier(poset_of_lattice(sk0_8))))|~spl0_49),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f995])).
% 2.46/0.67 fof(f3329,plain,(
% 2.46/0.67 spl0_233|spl0_383|~spl0_49),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3328,f2018,f3325,f940])).
% 2.46/0.67 fof(f3333,plain,(
% 2.46/0.67 spl0_384 <=> element(sk0_25(sk0_27),powerset(the_carrier(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3336,plain,(
% 2.46/0.67 empty_carrier(sk0_27)|element(sk0_25(sk0_27),powerset(the_carrier(sk0_27)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f2530])).
% 2.46/0.67 fof(f3337,plain,(
% 2.46/0.67 spl0_198|spl0_384),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3336,f1796,f3333])).
% 2.46/0.67 fof(f3338,plain,(
% 2.46/0.67 spl0_385 <=> empty_carrier(sk0_26)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3339,plain,(
% 2.46/0.67 empty_carrier(sk0_26)|~spl0_385),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3338])).
% 2.46/0.67 fof(f3341,plain,(
% 2.46/0.67 spl0_386 <=> element(sk0_25(sk0_26),powerset(the_carrier(sk0_26)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3344,plain,(
% 2.46/0.67 empty_carrier(sk0_26)|element(sk0_25(sk0_26),powerset(the_carrier(sk0_26)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f2522])).
% 2.46/0.67 fof(f3345,plain,(
% 2.46/0.67 spl0_385|spl0_386),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3344,f3338,f3341])).
% 2.46/0.67 fof(f3354,plain,(
% 2.46/0.67 spl0_389 <=> element(sk0_25(sk0_11),powerset(the_carrier(sk0_11)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3357,plain,(
% 2.46/0.67 empty_carrier(sk0_11)|element(sk0_25(sk0_11),powerset(the_carrier(sk0_11)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f2472])).
% 2.46/0.67 fof(f3358,plain,(
% 2.46/0.67 spl0_127|spl0_389),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3357,f1376,f3354])).
% 2.46/0.67 fof(f3359,plain,(
% 2.46/0.67 spl0_390 <=> element(sk0_25(sk0_10),powerset(the_carrier(sk0_10)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3362,plain,(
% 2.46/0.67 empty_carrier(sk0_10)|element(sk0_25(sk0_10),powerset(the_carrier(sk0_10)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f2464])).
% 2.46/0.67 fof(f3363,plain,(
% 2.46/0.67 spl0_95|spl0_390),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3362,f1203,f3359])).
% 2.46/0.67 fof(f3364,plain,(
% 2.46/0.67 spl0_391 <=> element(sk0_25(sk0_9),powerset(the_carrier(sk0_9)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3367,plain,(
% 2.46/0.67 empty_carrier(sk0_9)|element(sk0_25(sk0_9),powerset(the_carrier(sk0_9)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f2456])).
% 2.46/0.67 fof(f3368,plain,(
% 2.46/0.67 spl0_65|spl0_391),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3367,f1038,f3364])).
% 2.46/0.67 fof(f3369,plain,(
% 2.46/0.67 spl0_392 <=> element(sk0_25(sk0_8),powerset(the_carrier(sk0_8)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3372,plain,(
% 2.46/0.67 empty_carrier(sk0_8)|element(sk0_25(sk0_8),powerset(the_carrier(sk0_8)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f2441])).
% 2.46/0.67 fof(f3373,plain,(
% 2.46/0.67 spl0_35|spl0_392),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3372,f870,f3369])).
% 2.46/0.67 fof(f3406,plain,(
% 2.46/0.67 spl0_401 <=> element(sk0_25(sk0_12),powerset(the_carrier(sk0_12)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3409,plain,(
% 2.46/0.67 empty_carrier(sk0_12)|element(sk0_25(sk0_12),powerset(the_carrier(sk0_12)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f688])).
% 2.46/0.67 fof(f3410,plain,(
% 2.46/0.67 spl0_161|spl0_401),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3409,f1591,f3406])).
% 2.46/0.67 fof(f3419,plain,(
% 2.46/0.67 spl0_404 <=> element(sk0_25(sk0_16),powerset(the_carrier(sk0_16)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3422,plain,(
% 2.46/0.67 empty_carrier(sk0_16)|element(sk0_25(sk0_16),powerset(the_carrier(sk0_16)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f686])).
% 2.46/0.67 fof(f3423,plain,(
% 2.46/0.67 spl0_169|spl0_404),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3422,f1635,f3419])).
% 2.46/0.67 fof(f3424,plain,(
% 2.46/0.67 spl0_405 <=> element(sk0_25(sk0_17),powerset(the_carrier(sk0_17)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3427,plain,(
% 2.46/0.67 empty_carrier(sk0_17)|element(sk0_25(sk0_17),powerset(the_carrier(sk0_17)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f685])).
% 2.46/0.67 fof(f3428,plain,(
% 2.46/0.67 spl0_179|spl0_405),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3427,f1687,f3424])).
% 2.46/0.67 fof(f3429,plain,(
% 2.46/0.67 spl0_406 <=> element(sk0_25(sk0_18),powerset(the_carrier(sk0_18)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3432,plain,(
% 2.46/0.67 empty_carrier(sk0_18)|element(sk0_25(sk0_18),powerset(the_carrier(sk0_18)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f684])).
% 2.46/0.67 fof(f3433,plain,(
% 2.46/0.67 spl0_236|spl0_406),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3432,f2031,f3429])).
% 2.46/0.67 fof(f3434,plain,(
% 2.46/0.67 spl0_407 <=> element(sk0_25(sk0_22),powerset(the_carrier(sk0_22)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3437,plain,(
% 2.46/0.67 empty_carrier(sk0_22)|element(sk0_25(sk0_22),powerset(the_carrier(sk0_22)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f683])).
% 2.46/0.67 fof(f3438,plain,(
% 2.46/0.67 spl0_186|spl0_407),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3437,f1722,f3434])).
% 2.46/0.67 fof(f3439,plain,(
% 2.46/0.67 spl0_408 <=> empty_carrier(sk0_24)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3440,plain,(
% 2.46/0.67 empty_carrier(sk0_24)|~spl0_408),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3439])).
% 2.46/0.67 fof(f3442,plain,(
% 2.46/0.67 spl0_409 <=> element(sk0_25(sk0_24),powerset(the_carrier(sk0_24)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3445,plain,(
% 2.46/0.67 empty_carrier(sk0_24)|element(sk0_25(sk0_24),powerset(the_carrier(sk0_24)))),
% 2.46/0.67 inference(resolution,[status(thm)],[f561,f557])).
% 2.46/0.67 fof(f3446,plain,(
% 2.46/0.67 spl0_408|spl0_409),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3445,f3439,f3442])).
% 2.46/0.67 fof(f3457,plain,(
% 2.46/0.67 $false|~spl0_408),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3440,f558])).
% 2.46/0.67 fof(f3458,plain,(
% 2.46/0.67 ~spl0_408),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3457])).
% 2.46/0.67 fof(f3459,plain,(
% 2.46/0.67 $false|~spl0_385),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3339,f565])).
% 2.46/0.67 fof(f3460,plain,(
% 2.46/0.67 ~spl0_385),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3459])).
% 2.46/0.67 fof(f3481,plain,(
% 2.46/0.67 spl0_412 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_27)),the_carrier(poset_of_lattice(sk0_27)),the_carrier(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3484,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_27))|~transitive_relstr(poset_of_lattice(sk0_27))|~rel_str(poset_of_lattice(sk0_27))|v1_partfun1(the_InternalRel(poset_of_lattice(sk0_27)),the_carrier(poset_of_lattice(sk0_27)),the_carrier(poset_of_lattice(sk0_27)))|~spl0_213),
% 2.46/0.67 inference(resolution,[status(thm)],[f1872,f335])).
% 2.46/0.67 fof(f3485,plain,(
% 2.46/0.67 ~spl0_215|~spl0_214|~spl0_212|spl0_412|~spl0_213),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3484,f1881,f1876,f1866,f3481,f1871])).
% 2.46/0.67 fof(f3486,plain,(
% 2.46/0.67 spl0_413 <=> transitive(the_InternalRel(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3489,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_27))|~transitive_relstr(poset_of_lattice(sk0_27))|~rel_str(poset_of_lattice(sk0_27))|transitive(the_InternalRel(poset_of_lattice(sk0_27)))|~spl0_213),
% 2.46/0.67 inference(resolution,[status(thm)],[f1872,f334])).
% 2.46/0.67 fof(f3490,plain,(
% 2.46/0.67 ~spl0_215|~spl0_214|~spl0_212|spl0_413|~spl0_213),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3489,f1881,f1876,f1866,f3486,f1871])).
% 2.46/0.67 fof(f3491,plain,(
% 2.46/0.67 spl0_414 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3494,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_27))|~transitive_relstr(poset_of_lattice(sk0_27))|~rel_str(poset_of_lattice(sk0_27))|antisymmetric(the_InternalRel(poset_of_lattice(sk0_27)))|~spl0_213),
% 2.46/0.67 inference(resolution,[status(thm)],[f1872,f333])).
% 2.46/0.67 fof(f3495,plain,(
% 2.46/0.67 ~spl0_215|~spl0_214|~spl0_212|spl0_414|~spl0_213),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3494,f1881,f1876,f1866,f3491,f1871])).
% 2.46/0.67 fof(f3496,plain,(
% 2.46/0.67 spl0_415 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3499,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_27))|~transitive_relstr(poset_of_lattice(sk0_27))|~rel_str(poset_of_lattice(sk0_27))|reflexive(the_InternalRel(poset_of_lattice(sk0_27)))|~spl0_213),
% 2.46/0.67 inference(resolution,[status(thm)],[f1872,f332])).
% 2.46/0.67 fof(f3500,plain,(
% 2.46/0.67 ~spl0_215|~spl0_214|~spl0_212|spl0_415|~spl0_213),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3499,f1881,f1876,f1866,f3496,f1871])).
% 2.46/0.67 fof(f3501,plain,(
% 2.46/0.67 spl0_416 <=> relation(the_InternalRel(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3504,plain,(
% 2.46/0.67 ~reflexive_relstr(poset_of_lattice(sk0_27))|~transitive_relstr(poset_of_lattice(sk0_27))|~rel_str(poset_of_lattice(sk0_27))|relation(the_InternalRel(poset_of_lattice(sk0_27)))|~spl0_213),
% 2.46/0.67 inference(resolution,[status(thm)],[f1872,f331])).
% 2.46/0.67 fof(f3505,plain,(
% 2.46/0.67 ~spl0_215|~spl0_214|~spl0_212|spl0_416|~spl0_213),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3504,f1881,f1876,f1866,f3501,f1871])).
% 2.46/0.67 fof(f3506,plain,(
% 2.46/0.67 spl0_417 <=> poset_of_lattice(sk0_27)=rel_str_of(the_carrier(poset_of_lattice(sk0_27)),the_InternalRel(poset_of_lattice(sk0_27)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3509,plain,(
% 2.46/0.67 ~rel_str(poset_of_lattice(sk0_27))|poset_of_lattice(sk0_27)=rel_str_of(the_carrier(poset_of_lattice(sk0_27)),the_InternalRel(poset_of_lattice(sk0_27)))|~spl0_216),
% 2.46/0.67 inference(resolution,[status(thm)],[f1887,f124])).
% 2.46/0.67 fof(f3510,plain,(
% 2.46/0.67 ~spl0_212|spl0_417|~spl0_216),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3509,f1866,f3506,f1886])).
% 2.46/0.67 fof(f3511,plain,(
% 2.46/0.67 spl0_418 <=> element(sk0_25(poset_of_lattice(sk0_27)),powerset(the_carrier(poset_of_lattice(sk0_27))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3514,plain,(
% 2.46/0.67 empty_carrier(poset_of_lattice(sk0_27))|element(sk0_25(poset_of_lattice(sk0_27)),powerset(the_carrier(poset_of_lattice(sk0_27))))|~spl0_212),
% 2.46/0.67 inference(resolution,[status(thm)],[f1922,f561])).
% 2.46/0.67 fof(f3515,plain,(
% 2.46/0.67 spl0_225|spl0_418|~spl0_212),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3514,f1986,f3511,f1866])).
% 2.46/0.67 fof(f3516,plain,(
% 2.46/0.67 spl0_419 <=> empty_carrier(boole_lattice(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3517,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~spl0_419),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3516])).
% 2.46/0.67 fof(f3519,plain,(
% 2.46/0.67 spl0_420 <=> meet_commutative(boole_lattice(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3521,plain,(
% 2.46/0.67 ~meet_commutative(boole_lattice(sk0_28))|spl0_420),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3519])).
% 2.46/0.67 fof(f3522,plain,(
% 2.46/0.67 spl0_421 <=> element(sk0_30,the_carrier(boole_lattice(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3524,plain,(
% 2.46/0.67 ~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|spl0_421),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3522])).
% 2.46/0.67 fof(f3525,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~meet_commutative(boole_lattice(sk0_28))|~meet_absorbing(boole_lattice(sk0_28))|~join_absorbing(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|below(boole_lattice(sk0_28),sk0_30,sk0_30)|~spl0_321),
% 2.46/0.67 inference(resolution,[status(thm)],[f586,f2808])).
% 2.46/0.67 fof(f3526,plain,(
% 2.46/0.67 spl0_419|~spl0_420|~spl0_318|~spl0_319|~spl0_297|~spl0_421|spl0_309|~spl0_321),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3525,f3516,f3519,f2796,f2799,f2657,f3522,f2714,f2807])).
% 2.46/0.67 fof(f3527,plain,(
% 2.46/0.67 spl0_422 <=> element(sk0_29,the_carrier(boole_lattice(sk0_28)))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3529,plain,(
% 2.46/0.67 ~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|spl0_422),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3527])).
% 2.46/0.67 fof(f3530,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~meet_commutative(boole_lattice(sk0_28))|~meet_absorbing(boole_lattice(sk0_28))|~join_absorbing(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|below(boole_lattice(sk0_28),sk0_29,sk0_29)|~spl0_320),
% 2.46/0.67 inference(resolution,[status(thm)],[f586,f2803])).
% 2.46/0.67 fof(f3531,plain,(
% 2.46/0.67 spl0_419|~spl0_420|~spl0_318|~spl0_319|~spl0_297|~spl0_422|spl0_302|~spl0_320),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3530,f3516,f3519,f2796,f2799,f2657,f3527,f2683,f2802])).
% 2.46/0.67 fof(f3536,plain,(
% 2.46/0.67 ~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|spl0_422),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2630,f3529])).
% 2.46/0.67 fof(f3537,plain,(
% 2.46/0.67 $false|spl0_422),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3536,f611])).
% 2.46/0.67 fof(f3538,plain,(
% 2.46/0.67 spl0_422),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3537])).
% 2.46/0.67 fof(f3539,plain,(
% 2.46/0.67 ~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|spl0_421),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2630,f3524])).
% 2.46/0.67 fof(f3540,plain,(
% 2.46/0.67 $false|spl0_421),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3539,f612])).
% 2.46/0.67 fof(f3541,plain,(
% 2.46/0.67 spl0_421),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3540])).
% 2.46/0.67 fof(f3542,plain,(
% 2.46/0.67 $false|spl0_420),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3521,f285])).
% 2.46/0.67 fof(f3543,plain,(
% 2.46/0.67 spl0_420),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3542])).
% 2.46/0.67 fof(f3550,plain,(
% 2.46/0.67 spl0_423 <=> below_refl(boole_lattice(sk0_28),sk0_29,sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3551,plain,(
% 2.46/0.67 below_refl(boole_lattice(sk0_28),sk0_29,sk0_30)|~spl0_423),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3550])).
% 2.46/0.67 fof(f3553,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~meet_commutative(boole_lattice(sk0_28))|~meet_absorbing(boole_lattice(sk0_28))|~join_absorbing(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,sk0_30)|~spl0_304),
% 2.46/0.67 inference(resolution,[status(thm)],[f587,f2692])).
% 2.46/0.67 fof(f3554,plain,(
% 2.46/0.67 spl0_419|~spl0_420|~spl0_318|~spl0_319|~spl0_297|~spl0_422|~spl0_421|spl0_423|~spl0_304),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3553,f3516,f3519,f2796,f2799,f2657,f3527,f3522,f3550,f2691])).
% 2.46/0.67 fof(f3559,plain,(
% 2.46/0.67 $false|~spl0_419),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3517,f281])).
% 2.46/0.67 fof(f3560,plain,(
% 2.46/0.67 ~spl0_419),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3559])).
% 2.46/0.67 fof(f3561,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~meet_commutative(boole_lattice(sk0_28))|~meet_absorbing(boole_lattice(sk0_28))|~join_absorbing(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|below(boole_lattice(sk0_28),sk0_29,sk0_30)|~spl0_423),
% 2.46/0.67 inference(resolution,[status(thm)],[f3551,f586])).
% 2.46/0.67 fof(f3562,plain,(
% 2.46/0.67 spl0_419|~spl0_420|~spl0_318|~spl0_319|~spl0_297|~spl0_422|~spl0_421|spl0_304|~spl0_423),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3561,f3516,f3519,f2796,f2799,f2657,f3527,f3522,f2691,f3550])).
% 2.46/0.67 fof(f3579,plain,(
% 2.46/0.67 ![X0]: (~element(the_InternalRel(boole_POSet(sk0_28)),powerset(X0))|element(ordered_pair(sk0_30,sk0_30),X0)|~spl0_26)),
% 2.46/0.67 inference(resolution,[status(thm)],[f621,f810])).
% 2.46/0.67 fof(f3580,plain,(
% 2.46/0.67 ![X0]: (~element(the_InternalRel(boole_POSet(sk0_28)),powerset(X0))|element(ordered_pair(sk0_29,sk0_29),X0)|~spl0_25)),
% 2.46/0.67 inference(resolution,[status(thm)],[f621,f805])).
% 2.46/0.67 fof(f3667,plain,(
% 2.46/0.67 spl0_424 <=> lattice(boole_lattice(sk0_28))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3669,plain,(
% 2.46/0.67 ~lattice(boole_lattice(sk0_28))|spl0_424),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3667])).
% 2.46/0.67 fof(f3670,plain,(
% 2.46/0.67 spl0_425 <=> related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3673,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~lattice(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))|~spl0_321),
% 2.46/0.67 inference(resolution,[status(thm)],[f632,f2808])).
% 2.46/0.67 fof(f3674,plain,(
% 2.46/0.67 spl0_419|~spl0_424|~spl0_297|~spl0_421|spl0_425|~spl0_321),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3673,f3516,f3667,f2657,f3522,f3670,f2807])).
% 2.46/0.67 fof(f3675,plain,(
% 2.46/0.67 spl0_426 <=> related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3676,plain,(
% 2.46/0.67 related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))|~spl0_426),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3675])).
% 2.46/0.67 fof(f3678,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~lattice(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))|~spl0_423),
% 2.46/0.67 inference(resolution,[status(thm)],[f632,f3551])).
% 2.46/0.67 fof(f3679,plain,(
% 2.46/0.67 spl0_419|~spl0_424|~spl0_297|~spl0_422|~spl0_421|spl0_426|~spl0_423),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3678,f3516,f3667,f2657,f3527,f3522,f3675,f3550])).
% 2.46/0.67 fof(f3680,plain,(
% 2.46/0.67 spl0_427 <=> related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3683,plain,(
% 2.46/0.67 empty_carrier(boole_lattice(sk0_28))|~lattice(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29))|~spl0_320),
% 2.46/0.67 inference(resolution,[status(thm)],[f632,f2803])).
% 2.46/0.67 fof(f3684,plain,(
% 2.46/0.67 spl0_419|~spl0_424|~spl0_297|~spl0_422|spl0_427|~spl0_320),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3683,f3516,f3667,f2657,f3527,f3680,f2802])).
% 2.46/0.67 fof(f3692,plain,(
% 2.46/0.67 $false|spl0_424),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3669,f289])).
% 2.46/0.67 fof(f3693,plain,(
% 2.46/0.67 spl0_424),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3692])).
% 2.46/0.67 fof(f3698,plain,(
% 2.46/0.67 related_reflexive(boole_POSet(sk0_28),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))|~spl0_426),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f207,f3676])).
% 2.46/0.67 fof(f3699,plain,(
% 2.46/0.67 related_reflexive(boole_POSet(sk0_28),sk0_29,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))|~spl0_298|~spl0_426),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2661,f3698])).
% 2.46/0.67 fof(f3700,plain,(
% 2.46/0.67 related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_299|~spl0_298|~spl0_426),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2666,f3699])).
% 2.46/0.67 fof(f3701,plain,(
% 2.46/0.67 $false|spl0_0|~spl0_299|~spl0_298|~spl0_426),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3700,f639])).
% 2.46/0.67 fof(f3702,plain,(
% 2.46/0.67 spl0_0|~spl0_299|~spl0_298|~spl0_426),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3701])).
% 2.46/0.67 fof(f3707,plain,(
% 2.46/0.67 spl0_428 <=> ~element(X0,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_30,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),sk0_30,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3710,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_lattice(sk0_28))|~lattice(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|~element(X0,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_30,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),sk0_30,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))|~spl0_299)),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2666,f633])).
% 2.46/0.67 fof(f3711,plain,(
% 2.46/0.67 spl0_419|~spl0_424|~spl0_297|~spl0_421|spl0_428|~spl0_299),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3710,f3516,f3667,f2657,f3522,f3707,f2665])).
% 2.46/0.67 fof(f3712,plain,(
% 2.46/0.67 spl0_429 <=> ~element(X0,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),sk0_29,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3713,plain,(
% 2.46/0.67 ![X0]: (~element(X0,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),sk0_29,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))|~spl0_429)),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3712])).
% 2.46/0.67 fof(f3715,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_lattice(sk0_28))|~lattice(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|~element(X0,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),sk0_29,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))|~spl0_298)),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2661,f633])).
% 2.46/0.67 fof(f3716,plain,(
% 2.46/0.67 spl0_419|~spl0_424|~spl0_297|~spl0_422|spl0_429|~spl0_298),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3715,f3516,f3667,f2657,f3527,f3712,f2660])).
% 2.46/0.67 fof(f3722,plain,(
% 2.46/0.67 spl0_430 <=> ~element(X0,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_30)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_30)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3725,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_lattice(sk0_28))|~lattice(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(X0,the_carrier(boole_lattice(sk0_28)))|~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_30)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_30)|~spl0_299)),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2666,f633])).
% 2.46/0.67 fof(f3726,plain,(
% 2.46/0.67 spl0_419|~spl0_424|~spl0_297|spl0_430|~spl0_421|~spl0_299),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3725,f3516,f3667,f2657,f3722,f3522,f2665])).
% 2.46/0.67 fof(f3727,plain,(
% 2.46/0.67 spl0_431 <=> ~element(X0,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_29)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_29)),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3730,plain,(
% 2.46/0.67 ![X0]: (empty_carrier(boole_lattice(sk0_28))|~lattice(boole_lattice(sk0_28))|~latt_str(boole_lattice(sk0_28))|~element(X0,the_carrier(boole_lattice(sk0_28)))|~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_29)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_29)|~spl0_298)),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2661,f633])).
% 2.46/0.67 fof(f3731,plain,(
% 2.46/0.67 spl0_419|~spl0_424|~spl0_297|spl0_431|~spl0_422|~spl0_298),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3730,f3516,f3667,f2657,f3727,f3527,f2660])).
% 2.46/0.67 fof(f3737,plain,(
% 2.46/0.67 ![X0]: (~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,X0)|~related_reflexive(poset_of_lattice(boole_lattice(sk0_28)),sk0_29,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))|~spl0_429)),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f2630,f3713])).
% 2.46/0.67 fof(f3738,plain,(
% 2.46/0.67 ![X0]: (~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,X0)|~related_reflexive(boole_POSet(sk0_28),sk0_29,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))|~spl0_429)),
% 2.46/0.67 inference(forward_demodulation,[status(thm)],[f207,f3737])).
% 2.46/0.67 fof(f3797,plain,(
% 2.46/0.67 element(ordered_pair(sk0_30,sk0_30),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_26),
% 2.46/0.67 inference(resolution,[status(thm)],[f3579,f1544])).
% 2.46/0.67 fof(f3799,plain,(
% 2.46/0.67 element(ordered_pair(sk0_29,sk0_29),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_25),
% 2.46/0.67 inference(resolution,[status(thm)],[f3580,f1544])).
% 2.46/0.67 fof(f3801,plain,(
% 2.46/0.67 spl0_433 <=> empty(cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3802,plain,(
% 2.46/0.67 empty(cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_433),
% 2.46/0.67 inference(component_clause,[status(thm)],[f3801])).
% 2.46/0.67 fof(f3809,plain,(
% 2.46/0.67 $false|~spl0_433),
% 2.46/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3802,f2402])).
% 2.46/0.67 fof(f3810,plain,(
% 2.46/0.67 ~spl0_433),
% 2.46/0.67 inference(contradiction_clause,[status(thm)],[f3809])).
% 2.46/0.67 fof(f3811,plain,(
% 2.46/0.67 spl0_435 <=> in(ordered_pair(sk0_30,sk0_30),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3814,plain,(
% 2.46/0.67 empty(cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|in(ordered_pair(sk0_30,sk0_30),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_26),
% 2.46/0.67 inference(resolution,[status(thm)],[f3797,f607])).
% 2.46/0.67 fof(f3815,plain,(
% 2.46/0.67 spl0_433|spl0_435|~spl0_26),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3814,f3801,f3811,f809])).
% 2.46/0.67 fof(f3816,plain,(
% 2.46/0.67 spl0_436 <=> in(ordered_pair(sk0_29,sk0_29),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))),
% 2.46/0.67 introduced(split_symbol_definition)).
% 2.46/0.67 fof(f3819,plain,(
% 2.46/0.67 empty(cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|in(ordered_pair(sk0_29,sk0_29),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_25),
% 2.46/0.67 inference(resolution,[status(thm)],[f3799,f607])).
% 2.46/0.67 fof(f3820,plain,(
% 2.46/0.67 spl0_433|spl0_436|~spl0_25),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3819,f3801,f3816,f804])).
% 2.46/0.67 fof(f3832,plain,(
% 2.46/0.67 ~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,sk0_30)|~related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_429|~spl0_299),
% 2.46/0.67 inference(paramodulation,[status(thm)],[f2666,f3738])).
% 2.46/0.67 fof(f3833,plain,(
% 2.46/0.67 ~spl0_18|spl0_423|~spl0_0|~spl0_429|~spl0_299),
% 2.46/0.67 inference(split_clause,[status(thm)],[f3832,f764,f3550,f637,f3712,f2665])).
% 2.46/0.67 fof(f3844,plain,(
% 2.46/0.67 $false),
% 2.46/0.67 inference(sat_refutation,[status(thm)],[f643,f644,f665,f670,f672,f674,f676,f678,f700,f705,f715,f719,f771,f779,f786,f788,f800,f808,f813,f867,f869,f892,f894,f896,f898,f900,f902,f904,f909,f914,f919,f924,f929,f934,f939,f944,f949,f954,f959,f964,f969,f974,f979,f984,f1000,f1005,f1013,f1018,f1020,f1030,f1032,f1060,f1062,f1064,f1066,f1068,f1070,f1072,f1077,f1082,f1087,f1092,f1097,f1102,f1107,f1112,f1117,f1122,f1127,f1132,f1137,f1142,f1147,f1152,f1168,f1176,f1181,f1183,f1188,f1200,f1202,f1225,f1227,f1229,f1231,f1233,f1235,f1237,f1242,f1247,f1252,f1257,f1262,f1267,f1272,f1277,f1282,f1287,f1292,f1297,f1302,f1307,f1312,f1317,f1333,f1341,f1346,f1348,f1353,f1373,f1375,f1398,f1400,f1402,f1404,f1406,f1408,f1410,f1415,f1420,f1425,f1430,f1435,f1440,f1445,f1450,f1455,f1460,f1465,f1470,f1475,f1480,f1485,f1490,f1506,f1511,f1524,f1526,f1555,f1565,f1567,f1572,f1574,f1588,f1590,f1598,f1603,f1608,f1610,f1618,f1620,f1632,f1634,f1639,f1646,f1651,f1656,f1664,f1669,f1674,f1676,f1684,f1686,f1691,f1698,f1703,f1708,f1716,f1718,f1726,f1728,f1735,f1740,f1745,f1752,f1757,f1769,f1771,f1781,f1783,f1793,f1795,f1818,f1820,f1822,f1824,f1826,f1828,f1830,f1835,f1840,f1845,f1850,f1855,f1860,f1865,f1870,f1875,f1880,f1885,f1890,f1895,f1900,f1905,f1910,f1956,f1966,f1968,f1975,f1993,f2001,f2009,f2017,f2025,f2030,f2038,f2043,f2048,f2053,f2057,f2060,f2062,f2064,f2066,f2068,f2079,f2081,f2083,f2091,f2093,f2104,f2106,f2108,f2119,f2121,f2123,f2134,f2136,f2138,f2154,f2156,f2163,f2170,f2177,f2184,f2191,f2234,f2236,f2244,f2246,f2254,f2256,f2264,f2266,f2298,f2305,f2312,f2319,f2326,f2409,f2414,f2419,f2424,f2429,f2450,f2481,f2486,f2495,f2500,f2505,f2510,f2664,f2669,f2671,f2695,f2697,f2723,f2729,f2760,f2765,f2806,f2811,f2813,f2815,f2823,f2838,f2846,f2854,f2859,f2867,f2869,f2871,f2873,f2875,f2882,f2887,f2892,f2897,f2902,f2911,f2916,f2921,f2926,f2931,f2940,f2945,f2950,f2955,f2960,f2996,f3001,f3006,f3011,f3016,f3021,f3030,f3035,f3040,f3045,f3050,f3055,f3064,f3069,f3074,f3079,f3084,f3089,f3098,f3103,f3108,f3113,f3118,f3123,f3128,f3133,f3138,f3143,f3150,f3155,f3160,f3165,f3170,f3314,f3319,f3324,f3329,f3337,f3345,f3358,f3363,f3368,f3373,f3410,f3423,f3428,f3433,f3438,f3446,f3458,f3460,f3485,f3490,f3495,f3500,f3505,f3510,f3515,f3526,f3531,f3538,f3541,f3543,f3554,f3560,f3562,f3674,f3679,f3684,f3693,f3702,f3711,f3716,f3726,f3731,f3810,f3815,f3820,f3833])).
% 2.46/0.67 % SZS output end CNFRefutation for theBenchmark.p
% 2.46/0.68 % Elapsed time: 0.411391 seconds
% 2.46/0.68 % CPU time: 2.868865 seconds
% 2.46/0.68 % Memory used: 106.663 MB
%------------------------------------------------------------------------------