TSTP Solution File: SEU369+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:42:06 EDT 2024
% Result : Theorem 3.18s 0.75s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU369+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 20:14:46 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 3.18/0.75 % Refutation found
% 3.18/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.18/0.75 % SZS output start CNFRefutation for theBenchmark
% 3.18/0.75 fof(f1,axiom,(
% 3.18/0.75 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f2,axiom,(
% 3.18/0.75 (! [A] :( latt_str(A)=> ( strict_latt_str(A)=> A = latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f5,axiom,(
% 3.18/0.75 (! [A] :( rel_str(A)=> ( with_suprema_relstr(A)=> ~ empty_carrier(A) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f6,axiom,(
% 3.18/0.75 (! [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) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f8,axiom,(
% 3.18/0.75 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& with_suprema_relstr(A)& with_infima_relstr(A) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f9,axiom,(
% 3.18/0.75 (! [A] :( rel_str(A)=> ( with_infima_relstr(A)=> ~ empty_carrier(A) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f10,axiom,(
% 3.18/0.75 (! [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) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f11,axiom,(
% 3.18/0.75 (! [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) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f12,axiom,(
% 3.18/0.75 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A) )=> ( ~ empty_carrier(A)& bounded_lattstr(A) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f13,axiom,(
% 3.18/0.75 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& bounded_relstr(A) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f14,axiom,(
% 3.18/0.75 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& bounded_lattstr(A) )=> ( ~ empty_carrier(A)& lower_bounded_semilattstr(A)& upper_bounded_semilattstr(A) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f15,axiom,(
% 3.18/0.75 (! [A] :( rel_str(A)=> ( bounded_relstr(A)=> ( lower_bounded_relstr(A)& upper_bounded_relstr(A) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f16,axiom,(
% 3.18/0.75 (! [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) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f17,axiom,(
% 3.18/0.75 (! [A] :( rel_str(A)=> ( ( lower_bounded_relstr(A)& upper_bounded_relstr(A) )=> bounded_relstr(A) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f18,axiom,(
% 3.18/0.75 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& distributive_lattstr(A)& bounded_lattstr(A)& complemented_lattstr(A) )=> ( ~ empty_carrier(A)& boolean_lattstr(A) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f19,axiom,(
% 3.18/0.75 (! [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) ) ) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.75 fof(f21,axiom,(
% 3.18/0.75 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> poset_of_lattice(A) = rel_str_of(the_carrier(A),k2_lattice3(A)) ) )),
% 3.18/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f22,axiom,(
% 3.18/0.76 (! [A] : boole_POSet(A) = poset_of_lattice(boole_lattice(A)) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f23,axiom,(
% 3.18/0.76 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f25,axiom,(
% 3.18/0.76 (! [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)) ) ) )) )) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f28,axiom,(
% 3.18/0.76 (! [A] :( strict_latt_str(boole_lattice(A))& latt_str(boole_lattice(A)) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f32,axiom,(
% 3.18/0.76 (! [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)) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f35,axiom,(
% 3.18/0.76 (! [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)) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f36,axiom,(
% 3.18/0.76 (! [A] :( strict_rel_str(boole_POSet(A))& rel_str(boole_POSet(A)) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f39,axiom,(
% 3.18/0.76 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> relation(relation_of_lattice(A)) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f41,axiom,(
% 3.18/0.76 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f43,axiom,(
% 3.18/0.76 (! [A] :( join_semilatt_str(A)=> one_sorted_str(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f44,axiom,(
% 3.18/0.76 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f47,axiom,(
% 3.18/0.76 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f49,axiom,(
% 3.18/0.76 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f58,axiom,(
% 3.18/0.76 (! [A] :(? [B] : element(B,A) ))),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f60,axiom,(
% 3.18/0.76 (! [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)) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f64,axiom,(
% 3.18/0.76 (! [A] : ~ empty(powerset(A)) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f65,axiom,(
% 3.18/0.76 empty(empty_set) ),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f67,axiom,(
% 3.18/0.76 (! [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)) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f69,axiom,(
% 3.18/0.76 (! [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)) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f71,axiom,(
% 3.18/0.76 (! [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)) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f76,axiom,(
% 3.18/0.76 (! [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)) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f80,axiom,(
% 3.18/0.76 (! [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)) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f82,axiom,(
% 3.18/0.76 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f84,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f85,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f86,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f87,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f88,axiom,(
% 3.18/0.76 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& complete_relstr(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f89,axiom,(
% 3.18/0.76 (? [A] :( rel_str(A)& strict_rel_str(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f92,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f93,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f94,axiom,(
% 3.18/0.76 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f98,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f99,axiom,(
% 3.18/0.76 (? [A] :( latt_str(A)& strict_latt_str(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f100,axiom,(
% 3.18/0.76 (? [A] :( one_sorted_str(A)& ~ empty_carrier(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f101,axiom,(
% 3.18/0.76 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B) ) )) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f102,axiom,(
% 3.18/0.76 (? [A] :( latt_str(A)& ~ empty_carrier(A)& strict_latt_str(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f103,axiom,(
% 3.18/0.76 (? [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f104,axiom,(
% 3.18/0.76 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> k2_lattice3(A) = relation_of_lattice(A) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f105,axiom,(
% 3.18/0.76 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f106,axiom,(
% 3.18/0.76 (! [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) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f107,axiom,(
% 3.18/0.76 (! [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) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f108,axiom,(
% 3.18/0.76 (! [A,B] : subset(A,A) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f110,axiom,(
% 3.18/0.76 (! [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) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f112,axiom,(
% 3.18/0.76 (! [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) ) ) )) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f113,axiom,(
% 3.18/0.76 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f114,conjecture,(
% 3.18/0.76 (! [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) ) ) )) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f115,negated_conjecture,(
% 3.18/0.76 ~((! [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) ) ) )) ))),
% 3.18/0.76 inference(negated_conjecture,[status(cth)],[f114])).
% 3.18/0.76 fof(f117,axiom,(
% 3.18/0.76 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f118,axiom,(
% 3.18/0.76 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f120,axiom,(
% 3.18/0.76 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f121,axiom,(
% 3.18/0.76 (! [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)) ) ) )) )) )),
% 3.18/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.18/0.76 fof(f123,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.18/0.76 fof(f124,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f123])).
% 3.18/0.76 fof(f125,plain,(
% 3.18/0.76 ![A]: (~latt_str(A)|(~strict_latt_str(A)|A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.18/0.76 fof(f126,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|~strict_latt_str(X0)|X0=latt_str_of(the_carrier(X0),the_L_join(X0),the_L_meet(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f125])).
% 3.18/0.76 fof(f141,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|(~with_suprema_relstr(A)|~empty_carrier(A)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 3.18/0.76 fof(f142,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|~with_suprema_relstr(X0)|~empty_carrier(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f141])).
% 3.18/0.76 fof(f143,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 3.18/0.76 fof(f145,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_commutative(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f143])).
% 3.18/0.76 fof(f146,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_associative(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f143])).
% 3.18/0.76 fof(f147,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_commutative(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f143])).
% 3.18/0.76 fof(f148,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_associative(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f143])).
% 3.18/0.76 fof(f149,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_absorbing(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f143])).
% 3.18/0.76 fof(f150,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_absorbing(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f143])).
% 3.18/0.76 fof(f154,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|((~empty_carrier(A)&with_suprema_relstr(A))&with_infima_relstr(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.18/0.76 fof(f156,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_suprema_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f154])).
% 3.18/0.76 fof(f157,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_infima_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f154])).
% 3.18/0.76 fof(f158,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|(~with_infima_relstr(A)|~empty_carrier(A)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.18/0.76 fof(f159,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|~with_infima_relstr(X0)|~empty_carrier(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f158])).
% 3.18/0.76 fof(f160,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 3.18/0.76 fof(f162,plain,(
% 3.18/0.76 ![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))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f160])).
% 3.18/0.76 fof(f163,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 3.18/0.76 fof(f166,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|transitive_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f163])).
% 3.18/0.76 fof(f167,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|antisymmetric_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f163])).
% 3.18/0.76 fof(f168,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|complete_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f163])).
% 3.18/0.76 fof(f169,plain,(
% 3.18/0.76 ![A]: (~latt_str(A)|(((empty_carrier(A)|~lower_bounded_semilattstr(A))|~upper_bounded_semilattstr(A))|(~empty_carrier(A)&bounded_lattstr(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 3.18/0.76 fof(f171,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lower_bounded_semilattstr(X0)|~upper_bounded_semilattstr(X0)|bounded_lattstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f169])).
% 3.18/0.76 fof(f172,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|(~empty_carrier(A)&bounded_relstr(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 3.18/0.76 fof(f174,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|bounded_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f172])).
% 3.18/0.76 fof(f175,plain,(
% 3.18/0.76 ![A]: (~latt_str(A)|((empty_carrier(A)|~bounded_lattstr(A))|((~empty_carrier(A)&lower_bounded_semilattstr(A))&upper_bounded_semilattstr(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 3.18/0.76 fof(f178,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~bounded_lattstr(X0)|upper_bounded_semilattstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f175])).
% 3.18/0.76 fof(f179,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|(~bounded_relstr(A)|(lower_bounded_relstr(A)&upper_bounded_relstr(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.18/0.76 fof(f180,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|lower_bounded_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f179])).
% 3.18/0.76 fof(f181,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|upper_bounded_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f179])).
% 3.18/0.76 fof(f182,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 3.18/0.76 fof(f187,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~boolean_lattstr(X0)|bounded_lattstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f182])).
% 3.18/0.76 fof(f188,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~boolean_lattstr(X0)|complemented_lattstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f182])).
% 3.18/0.76 fof(f189,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|((~lower_bounded_relstr(A)|~upper_bounded_relstr(A))|bounded_relstr(A)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.18/0.76 fof(f190,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|~lower_bounded_relstr(X0)|~upper_bounded_relstr(X0)|bounded_relstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f189])).
% 3.18/0.76 fof(f191,plain,(
% 3.18/0.76 ![A]: (~latt_str(A)|((((empty_carrier(A)|~distributive_lattstr(A))|~bounded_lattstr(A))|~complemented_lattstr(A))|(~empty_carrier(A)&boolean_lattstr(A))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 3.18/0.76 fof(f193,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~distributive_lattstr(X0)|~bounded_lattstr(X0)|~complemented_lattstr(X0)|boolean_lattstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f191])).
% 3.18/0.76 fof(f194,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.18/0.76 fof(f203,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|~distributive_lattstr(X0)|modular_lattstr(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f194])).
% 3.18/0.76 fof(f205,plain,(
% 3.18/0.76 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.18/0.76 fof(f206,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|poset_of_lattice(X0)=rel_str_of(the_carrier(X0),k2_lattice3(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f205])).
% 3.18/0.76 fof(f207,plain,(
% 3.18/0.76 ![X0]: (boole_POSet(X0)=poset_of_lattice(boole_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f22])).
% 3.18/0.76 fof(f208,plain,(
% 3.18/0.76 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 3.18/0.76 fof(f209,plain,(
% 3.18/0.76 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f208])).
% 3.18/0.76 fof(f211,plain,(
% 3.18/0.76 ![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))))))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 3.18/0.76 fof(f212,plain,(
% 3.18/0.76 ![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)))))))))),
% 3.18/0.76 inference(NNF_transformation,[status(esa)],[f211])).
% 3.18/0.76 fof(f213,plain,(
% 3.18/0.76 ![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)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f212])).
% 3.18/0.76 fof(f221,plain,(
% 3.18/0.76 (![A]: strict_latt_str(boole_lattice(A)))&(![A]: latt_str(boole_lattice(A)))),
% 3.18/0.76 inference(miniscoping,[status(esa)],[f28])).
% 3.18/0.76 fof(f223,plain,(
% 3.18/0.76 ![X0]: (latt_str(boole_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f221])).
% 3.18/0.76 fof(f224,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 3.18/0.76 fof(f225,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive(k2_lattice3(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f224])).
% 3.18/0.76 fof(f226,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric(k2_lattice3(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f224])).
% 3.18/0.76 fof(f227,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive(k2_lattice3(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f224])).
% 3.18/0.76 fof(f228,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f224])).
% 3.18/0.76 fof(f229,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f224])).
% 3.18/0.76 fof(f230,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 3.18/0.76 fof(f231,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|strict_rel_str(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f230])).
% 3.18/0.76 fof(f232,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|reflexive_relstr(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f230])).
% 3.18/0.76 fof(f233,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|transitive_relstr(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f230])).
% 3.18/0.76 fof(f234,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|antisymmetric_relstr(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f230])).
% 3.18/0.76 fof(f235,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|rel_str(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f230])).
% 3.18/0.76 fof(f236,plain,(
% 3.18/0.76 (![A]: strict_rel_str(boole_POSet(A)))&(![A]: rel_str(boole_POSet(A)))),
% 3.18/0.76 inference(miniscoping,[status(esa)],[f36])).
% 3.18/0.76 fof(f238,plain,(
% 3.18/0.76 ![X0]: (rel_str(boole_POSet(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f236])).
% 3.18/0.76 fof(f241,plain,(
% 3.18/0.76 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|relation(relation_of_lattice(A)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.18/0.76 fof(f242,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|relation(relation_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f241])).
% 3.18/0.76 fof(f245,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 3.18/0.76 fof(f246,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f245])).
% 3.18/0.76 fof(f247,plain,(
% 3.18/0.76 ![A]: (~join_semilatt_str(A)|one_sorted_str(A))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.18/0.76 fof(f248,plain,(
% 3.18/0.76 ![X0]: (~join_semilatt_str(X0)|one_sorted_str(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f247])).
% 3.18/0.76 fof(f249,plain,(
% 3.18/0.76 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.18/0.76 fof(f251,plain,(
% 3.18/0.76 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f249])).
% 3.18/0.76 fof(f252,plain,(
% 3.18/0.76 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 3.18/0.76 fof(f253,plain,(
% 3.18/0.76 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f252])).
% 3.18/0.76 fof(f258,plain,(
% 3.18/0.76 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 3.18/0.76 fof(f259,plain,(
% 3.18/0.76 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f258])).
% 3.18/0.76 fof(f276,plain,(
% 3.18/0.76 ![A]: element(sk0_6(A),A)),
% 3.18/0.76 inference(skolemization,[status(esa)],[f58])).
% 3.18/0.76 fof(f277,plain,(
% 3.18/0.76 ![X0]: (element(sk0_6(X0),X0))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f276])).
% 3.18/0.76 fof(f280,plain,(
% 3.18/0.76 ((((((((((((((((![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)))),
% 3.18/0.76 inference(miniscoping,[status(esa)],[f60])).
% 3.18/0.76 fof(f281,plain,(
% 3.18/0.76 ![X0]: (~empty_carrier(boole_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f280])).
% 3.18/0.76 fof(f289,plain,(
% 3.18/0.76 ![X0]: (lattice(boole_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f280])).
% 3.18/0.76 fof(f306,plain,(
% 3.18/0.76 ![X0]: (~empty(powerset(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f64])).
% 3.18/0.76 fof(f307,plain,(
% 3.18/0.76 empty(empty_set)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f65])).
% 3.18/0.76 fof(f312,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.18/0.76 fof(f313,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~empty_carrier(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f312])).
% 3.18/0.76 fof(f318,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|with_suprema_relstr(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f312])).
% 3.18/0.76 fof(f319,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|with_infima_relstr(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f312])).
% 3.18/0.76 fof(f330,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 3.18/0.76 fof(f331,plain,(
% 3.18/0.76 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|relation(the_InternalRel(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f330])).
% 3.18/0.76 fof(f332,plain,(
% 3.18/0.76 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|reflexive(the_InternalRel(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f330])).
% 3.18/0.76 fof(f333,plain,(
% 3.18/0.76 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|antisymmetric(the_InternalRel(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f330])).
% 3.18/0.76 fof(f334,plain,(
% 3.18/0.76 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|transitive(the_InternalRel(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f330])).
% 3.18/0.76 fof(f335,plain,(
% 3.18/0.76 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~rel_str(X0)|v1_partfun1(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f330])).
% 3.18/0.76 fof(f337,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 3.18/0.76 fof(f343,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~upper_bounded_semilattstr(X0)|~latt_str(X0)|upper_bounded_relstr(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f337])).
% 3.18/0.76 fof(f372,plain,(
% 3.18/0.76 ![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))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 3.18/0.76 fof(f378,plain,(
% 3.18/0.76 ![X0]: (empty_carrier(X0)|~lattice(X0)|~lower_bounded_semilattstr(X0)|~latt_str(X0)|lower_bounded_relstr(poset_of_lattice(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f372])).
% 3.18/0.76 fof(f401,plain,(
% 3.18/0.76 ((((![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)))),
% 3.18/0.76 inference(miniscoping,[status(esa)],[f80])).
% 3.18/0.76 fof(f402,plain,(
% 3.18/0.76 ![X0]: (~empty_carrier(boole_POSet(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f401])).
% 3.18/0.76 fof(f404,plain,(
% 3.18/0.76 ![X0]: (reflexive_relstr(boole_POSet(X0)))),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f401])).
% 3.18/0.76 fof(f419,plain,(
% 3.18/0.76 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 3.18/0.76 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 3.18/0.76 fof(f420,plain,(
% 3.18/0.76 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X1=X2)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f419])).
% 3.18/0.76 fof(f426,plain,(
% 3.18/0.76 (((((((((((((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))),
% 3.18/0.76 inference(skolemization,[status(esa)],[f84])).
% 3.18/0.76 fof(f427,plain,(
% 3.18/0.76 latt_str(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f428,plain,(
% 3.18/0.76 ~empty_carrier(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f429,plain,(
% 3.18/0.76 strict_latt_str(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f435,plain,(
% 3.18/0.76 join_absorbing(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f436,plain,(
% 3.18/0.76 lattice(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f437,plain,(
% 3.18/0.76 distributive_lattstr(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f439,plain,(
% 3.18/0.76 lower_bounded_semilattstr(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f440,plain,(
% 3.18/0.76 upper_bounded_semilattstr(sk0_8)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f426])).
% 3.18/0.76 fof(f441,plain,(
% 3.18/0.76 ((((((((((((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))),
% 3.18/0.76 inference(skolemization,[status(esa)],[f85])).
% 3.18/0.76 fof(f442,plain,(
% 3.18/0.76 latt_str(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f443,plain,(
% 3.18/0.76 ~empty_carrier(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f444,plain,(
% 3.18/0.76 strict_latt_str(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f445,plain,(
% 3.18/0.76 join_commutative(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f446,plain,(
% 3.18/0.76 join_associative(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f447,plain,(
% 3.18/0.76 meet_commutative(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f448,plain,(
% 3.18/0.76 meet_associative(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f449,plain,(
% 3.18/0.76 meet_absorbing(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f450,plain,(
% 3.18/0.76 join_absorbing(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f451,plain,(
% 3.18/0.76 lattice(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f452,plain,(
% 3.18/0.76 lower_bounded_semilattstr(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f453,plain,(
% 3.18/0.76 upper_bounded_semilattstr(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f454,plain,(
% 3.18/0.76 bounded_lattstr(sk0_9)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f441])).
% 3.18/0.76 fof(f455,plain,(
% 3.18/0.76 (((((((((((((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))),
% 3.18/0.76 inference(skolemization,[status(esa)],[f86])).
% 3.18/0.76 fof(f456,plain,(
% 3.18/0.76 latt_str(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f457,plain,(
% 3.18/0.76 ~empty_carrier(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f458,plain,(
% 3.18/0.76 strict_latt_str(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f459,plain,(
% 3.18/0.76 join_commutative(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f460,plain,(
% 3.18/0.76 join_associative(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f461,plain,(
% 3.18/0.76 meet_commutative(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f462,plain,(
% 3.18/0.76 meet_associative(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f463,plain,(
% 3.18/0.76 meet_absorbing(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f464,plain,(
% 3.18/0.76 join_absorbing(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f465,plain,(
% 3.18/0.76 lattice(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f466,plain,(
% 3.18/0.76 lower_bounded_semilattstr(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f467,plain,(
% 3.18/0.76 upper_bounded_semilattstr(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f468,plain,(
% 3.18/0.76 bounded_lattstr(sk0_10)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f455])).
% 3.18/0.76 fof(f470,plain,(
% 3.18/0.76 (((((((((((((((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))),
% 3.18/0.76 inference(skolemization,[status(esa)],[f87])).
% 3.18/0.76 fof(f471,plain,(
% 3.18/0.76 latt_str(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f472,plain,(
% 3.18/0.76 ~empty_carrier(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f473,plain,(
% 3.18/0.76 strict_latt_str(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f474,plain,(
% 3.18/0.76 join_commutative(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f475,plain,(
% 3.18/0.76 join_associative(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f476,plain,(
% 3.18/0.76 meet_commutative(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f477,plain,(
% 3.18/0.76 meet_associative(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f478,plain,(
% 3.18/0.76 meet_absorbing(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f479,plain,(
% 3.18/0.76 join_absorbing(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f480,plain,(
% 3.18/0.76 lattice(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f481,plain,(
% 3.18/0.76 distributive_lattstr(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f482,plain,(
% 3.18/0.76 lower_bounded_semilattstr(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f483,plain,(
% 3.18/0.76 upper_bounded_semilattstr(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f484,plain,(
% 3.18/0.76 bounded_lattstr(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f485,plain,(
% 3.18/0.76 complemented_lattstr(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f486,plain,(
% 3.18/0.76 boolean_lattstr(sk0_11)),
% 3.18/0.76 inference(cnf_transformation,[status(esa)],[f470])).
% 3.18/0.76 fof(f487,plain,(
% 3.18/0.76 ((((((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))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f88])).
% 3.18/0.77 fof(f488,plain,(
% 3.18/0.77 rel_str(sk0_12)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f487])).
% 3.18/0.77 fof(f489,plain,(
% 3.18/0.77 ~empty_carrier(sk0_12)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f487])).
% 3.18/0.77 fof(f490,plain,(
% 3.18/0.77 strict_rel_str(sk0_12)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f487])).
% 3.18/0.77 fof(f491,plain,(
% 3.18/0.77 reflexive_relstr(sk0_12)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f487])).
% 3.18/0.77 fof(f492,plain,(
% 3.18/0.77 transitive_relstr(sk0_12)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f487])).
% 3.18/0.77 fof(f493,plain,(
% 3.18/0.77 antisymmetric_relstr(sk0_12)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f487])).
% 3.18/0.77 fof(f494,plain,(
% 3.18/0.77 complete_relstr(sk0_12)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f487])).
% 3.18/0.77 fof(f495,plain,(
% 3.18/0.77 (rel_str(sk0_13)&strict_rel_str(sk0_13))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f89])).
% 3.18/0.77 fof(f496,plain,(
% 3.18/0.77 rel_str(sk0_13)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f495])).
% 3.18/0.77 fof(f497,plain,(
% 3.18/0.77 strict_rel_str(sk0_13)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f495])).
% 3.18/0.77 fof(f504,plain,(
% 3.18/0.77 (((((((((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))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f92])).
% 3.18/0.77 fof(f505,plain,(
% 3.18/0.77 rel_str(sk0_16)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f504])).
% 3.18/0.77 fof(f507,plain,(
% 3.18/0.77 strict_rel_str(sk0_16)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f504])).
% 3.18/0.77 fof(f508,plain,(
% 3.18/0.77 reflexive_relstr(sk0_16)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f504])).
% 3.18/0.77 fof(f510,plain,(
% 3.18/0.77 antisymmetric_relstr(sk0_16)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f504])).
% 3.18/0.77 fof(f511,plain,(
% 3.18/0.77 with_suprema_relstr(sk0_16)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f504])).
% 3.18/0.77 fof(f513,plain,(
% 3.18/0.77 complete_relstr(sk0_16)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f504])).
% 3.18/0.77 fof(f514,plain,(
% 3.18/0.77 trivial_carrier(sk0_16)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f504])).
% 3.18/0.77 fof(f515,plain,(
% 3.18/0.77 ((((((((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))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f93])).
% 3.18/0.77 fof(f516,plain,(
% 3.18/0.77 rel_str(sk0_17)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f515])).
% 3.18/0.77 fof(f518,plain,(
% 3.18/0.77 strict_rel_str(sk0_17)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f515])).
% 3.18/0.77 fof(f519,plain,(
% 3.18/0.77 reflexive_relstr(sk0_17)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f515])).
% 3.18/0.77 fof(f520,plain,(
% 3.18/0.77 transitive_relstr(sk0_17)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f515])).
% 3.18/0.77 fof(f521,plain,(
% 3.18/0.77 antisymmetric_relstr(sk0_17)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f515])).
% 3.18/0.77 fof(f522,plain,(
% 3.18/0.77 with_suprema_relstr(sk0_17)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f515])).
% 3.18/0.77 fof(f524,plain,(
% 3.18/0.77 complete_relstr(sk0_17)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f515])).
% 3.18/0.77 fof(f525,plain,(
% 3.18/0.77 (((((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))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f94])).
% 3.18/0.77 fof(f526,plain,(
% 3.18/0.77 rel_str(sk0_18)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f525])).
% 3.18/0.77 fof(f527,plain,(
% 3.18/0.77 ~empty_carrier(sk0_18)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f525])).
% 3.18/0.77 fof(f528,plain,(
% 3.18/0.77 strict_rel_str(sk0_18)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f525])).
% 3.18/0.77 fof(f529,plain,(
% 3.18/0.77 reflexive_relstr(sk0_18)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f525])).
% 3.18/0.77 fof(f530,plain,(
% 3.18/0.77 transitive_relstr(sk0_18)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f525])).
% 3.18/0.77 fof(f531,plain,(
% 3.18/0.77 antisymmetric_relstr(sk0_18)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f525])).
% 3.18/0.77 fof(f541,plain,(
% 3.18/0.77 ((((((((((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))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f98])).
% 3.18/0.77 fof(f542,plain,(
% 3.18/0.77 rel_str(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f544,plain,(
% 3.18/0.77 reflexive_relstr(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f545,plain,(
% 3.18/0.77 transitive_relstr(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f546,plain,(
% 3.18/0.77 antisymmetric_relstr(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f547,plain,(
% 3.18/0.77 with_suprema_relstr(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f549,plain,(
% 3.18/0.77 complete_relstr(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f550,plain,(
% 3.18/0.77 lower_bounded_relstr(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f552,plain,(
% 3.18/0.77 bounded_relstr(sk0_22)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f541])).
% 3.18/0.77 fof(f553,plain,(
% 3.18/0.77 (latt_str(sk0_23)&strict_latt_str(sk0_23))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f99])).
% 3.18/0.77 fof(f554,plain,(
% 3.18/0.77 latt_str(sk0_23)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f553])).
% 3.18/0.77 fof(f555,plain,(
% 3.18/0.77 strict_latt_str(sk0_23)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f553])).
% 3.18/0.77 fof(f556,plain,(
% 3.18/0.77 (one_sorted_str(sk0_24)&~empty_carrier(sk0_24))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f100])).
% 3.18/0.77 fof(f557,plain,(
% 3.18/0.77 one_sorted_str(sk0_24)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f556])).
% 3.18/0.77 fof(f558,plain,(
% 3.18/0.77 ~empty_carrier(sk0_24)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f556])).
% 3.18/0.77 fof(f559,plain,(
% 3.18/0.77 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&~empty(B))))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f101])).
% 3.18/0.77 fof(f560,plain,(
% 3.18/0.77 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(element(sk0_25(A),powerset(the_carrier(A)))&~empty(sk0_25(A))))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f559])).
% 3.18/0.77 fof(f561,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|element(sk0_25(X0),powerset(the_carrier(X0))))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f560])).
% 3.18/0.77 fof(f563,plain,(
% 3.18/0.77 ((latt_str(sk0_26)&~empty_carrier(sk0_26))&strict_latt_str(sk0_26))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f102])).
% 3.18/0.77 fof(f564,plain,(
% 3.18/0.77 latt_str(sk0_26)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f563])).
% 3.18/0.77 fof(f565,plain,(
% 3.18/0.77 ~empty_carrier(sk0_26)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f563])).
% 3.18/0.77 fof(f566,plain,(
% 3.18/0.77 strict_latt_str(sk0_26)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f563])).
% 3.18/0.77 fof(f567,plain,(
% 3.18/0.77 (((((((((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))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f103])).
% 3.18/0.77 fof(f568,plain,(
% 3.18/0.77 latt_str(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f569,plain,(
% 3.18/0.77 ~empty_carrier(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f570,plain,(
% 3.18/0.77 strict_latt_str(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f571,plain,(
% 3.18/0.77 join_commutative(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f572,plain,(
% 3.18/0.77 join_associative(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f573,plain,(
% 3.18/0.77 meet_commutative(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f574,plain,(
% 3.18/0.77 meet_associative(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f575,plain,(
% 3.18/0.77 meet_absorbing(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f576,plain,(
% 3.18/0.77 join_absorbing(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f577,plain,(
% 3.18/0.77 lattice(sk0_27)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f567])).
% 3.18/0.77 fof(f578,plain,(
% 3.18/0.77 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|k2_lattice3(A)=relation_of_lattice(A))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f104])).
% 3.18/0.77 fof(f579,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|k2_lattice3(X0)=relation_of_lattice(X0))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f578])).
% 3.18/0.77 fof(f580,plain,(
% 3.18/0.77 ![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)))),
% 3.18/0.77 inference(NNF_transformation,[status(esa)],[f105])).
% 3.18/0.77 fof(f581,plain,(
% 3.18/0.77 (![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)))),
% 3.18/0.77 inference(miniscoping,[status(esa)],[f580])).
% 3.18/0.77 fof(f582,plain,(
% 3.18/0.77 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f581])).
% 3.18/0.77 fof(f584,plain,(
% 3.18/0.77 ![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)))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 3.18/0.77 fof(f585,plain,(
% 3.18/0.77 ![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))))),
% 3.18/0.77 inference(NNF_transformation,[status(esa)],[f584])).
% 3.18/0.77 fof(f586,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f585])).
% 3.18/0.77 fof(f587,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f585])).
% 3.18/0.77 fof(f588,plain,(
% 3.18/0.77 ![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)))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f107])).
% 3.18/0.77 fof(f589,plain,(
% 3.18/0.77 ![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))))),
% 3.18/0.77 inference(NNF_transformation,[status(esa)],[f588])).
% 3.18/0.77 fof(f590,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f589])).
% 3.18/0.77 fof(f591,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f589])).
% 3.18/0.77 fof(f592,plain,(
% 3.18/0.77 ![A]: subset(A,A)),
% 3.18/0.77 inference(miniscoping,[status(esa)],[f108])).
% 3.18/0.77 fof(f593,plain,(
% 3.18/0.77 ![X0]: (subset(X0,X0))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f592])).
% 3.18/0.77 fof(f597,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f110])).
% 3.18/0.77 fof(f598,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(miniscoping,[status(esa)],[f597])).
% 3.18/0.77 fof(f599,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f598])).
% 3.18/0.77 fof(f602,plain,(
% 3.18/0.77 ![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)))))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f112])).
% 3.18/0.77 fof(f603,plain,(
% 3.18/0.77 ![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))))))),
% 3.18/0.77 inference(NNF_transformation,[status(esa)],[f602])).
% 3.18/0.77 fof(f604,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f603])).
% 3.18/0.77 fof(f605,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f603])).
% 3.18/0.77 fof(f606,plain,(
% 3.18/0.77 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f113])).
% 3.18/0.77 fof(f607,plain,(
% 3.18/0.77 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f606])).
% 3.18/0.77 fof(f608,plain,(
% 3.18/0.77 (?[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))))))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f115])).
% 3.18/0.77 fof(f609,plain,(
% 3.18/0.77 ?[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))))))),
% 3.18/0.77 inference(NNF_transformation,[status(esa)],[f608])).
% 3.18/0.77 fof(f610,plain,(
% 3.18/0.77 (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)))))),
% 3.18/0.77 inference(skolemization,[status(esa)],[f609])).
% 3.18/0.77 fof(f611,plain,(
% 3.18/0.77 element(sk0_29,the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f610])).
% 3.18/0.77 fof(f612,plain,(
% 3.18/0.77 element(sk0_30,the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f610])).
% 3.18/0.77 fof(f613,plain,(
% 3.18/0.77 related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|subset(sk0_29,sk0_30)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f610])).
% 3.18/0.77 fof(f614,plain,(
% 3.18/0.77 ~related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~subset(sk0_29,sk0_30)),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f610])).
% 3.18/0.77 fof(f619,plain,(
% 3.18/0.77 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f117])).
% 3.18/0.77 fof(f620,plain,(
% 3.18/0.77 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 3.18/0.77 inference(miniscoping,[status(esa)],[f619])).
% 3.18/0.77 fof(f621,plain,(
% 3.18/0.77 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f620])).
% 3.18/0.77 fof(f622,plain,(
% 3.18/0.77 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f118])).
% 3.18/0.77 fof(f623,plain,(
% 3.18/0.77 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 3.18/0.77 inference(miniscoping,[status(esa)],[f622])).
% 3.18/0.77 fof(f624,plain,(
% 3.18/0.77 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f623])).
% 3.18/0.77 fof(f627,plain,(
% 3.18/0.77 ![A,B]: (~in(A,B)|~empty(B))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f120])).
% 3.18/0.77 fof(f628,plain,(
% 3.18/0.77 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 3.18/0.77 inference(miniscoping,[status(esa)],[f627])).
% 3.18/0.77 fof(f629,plain,(
% 3.18/0.77 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f628])).
% 3.18/0.77 fof(f630,plain,(
% 3.18/0.77 ![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))))))))),
% 3.18/0.77 inference(pre_NNF_transformation,[status(esa)],[f121])).
% 3.18/0.77 fof(f631,plain,(
% 3.18/0.77 ![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)))))))))),
% 3.18/0.77 inference(NNF_transformation,[status(esa)],[f630])).
% 3.18/0.77 fof(f632,plain,(
% 3.18/0.77 ![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)))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f631])).
% 3.18/0.77 fof(f633,plain,(
% 3.18/0.77 ![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)))),
% 3.18/0.77 inference(cnf_transformation,[status(esa)],[f631])).
% 3.18/0.77 fof(f637,plain,(
% 3.18/0.77 spl0_0 <=> related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f638,plain,(
% 3.18/0.77 related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_0),
% 3.18/0.77 inference(component_clause,[status(thm)],[f637])).
% 3.18/0.77 fof(f640,plain,(
% 3.18/0.77 spl0_1 <=> subset(sk0_29,sk0_30)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f643,plain,(
% 3.18/0.77 spl0_0|spl0_1),
% 3.18/0.77 inference(split_clause,[status(thm)],[f613,f637,f640])).
% 3.18/0.77 fof(f644,plain,(
% 3.18/0.77 ~spl0_0|~spl0_1),
% 3.18/0.77 inference(split_clause,[status(thm)],[f614,f637,f640])).
% 3.18/0.77 fof(f647,plain,(
% 3.18/0.77 spl0_2 <=> empty_carrier(boole_POSet(sk0_28))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f648,plain,(
% 3.18/0.77 empty_carrier(boole_POSet(sk0_28))|~spl0_2),
% 3.18/0.77 inference(component_clause,[status(thm)],[f647])).
% 3.18/0.77 fof(f650,plain,(
% 3.18/0.77 spl0_3 <=> reflexive_relstr(boole_POSet(sk0_28))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f652,plain,(
% 3.18/0.77 ~reflexive_relstr(boole_POSet(sk0_28))|spl0_3),
% 3.18/0.77 inference(component_clause,[status(thm)],[f650])).
% 3.18/0.77 fof(f653,plain,(
% 3.18/0.77 spl0_4 <=> rel_str(boole_POSet(sk0_28))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f655,plain,(
% 3.18/0.77 ~rel_str(boole_POSet(sk0_28))|spl0_4),
% 3.18/0.77 inference(component_clause,[status(thm)],[f653])).
% 3.18/0.77 fof(f656,plain,(
% 3.18/0.77 spl0_5 <=> ~element(X0,the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f657,plain,(
% 3.18/0.77 ![X0]: (~element(X0,the_carrier(boole_POSet(sk0_28)))|~spl0_5)),
% 3.18/0.77 inference(component_clause,[status(thm)],[f656])).
% 3.18/0.77 fof(f659,plain,(
% 3.18/0.77 spl0_6 <=> related_reflexive(boole_POSet(sk0_28),sk0_30,sk0_30)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f660,plain,(
% 3.18/0.77 related_reflexive(boole_POSet(sk0_28),sk0_30,sk0_30)|~spl0_6),
% 3.18/0.77 inference(component_clause,[status(thm)],[f659])).
% 3.18/0.77 fof(f662,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(resolution,[status(thm)],[f599,f612])).
% 3.18/0.77 fof(f663,plain,(
% 3.18/0.77 spl0_2|~spl0_3|~spl0_4|spl0_5|spl0_6),
% 3.18/0.77 inference(split_clause,[status(thm)],[f662,f647,f650,f653,f656,f659])).
% 3.18/0.77 fof(f664,plain,(
% 3.18/0.77 spl0_7 <=> related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_29)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f665,plain,(
% 3.18/0.77 related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_29)|~spl0_7),
% 3.18/0.77 inference(component_clause,[status(thm)],[f664])).
% 3.18/0.77 fof(f667,plain,(
% 3.18/0.77 ![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))),
% 3.18/0.77 inference(resolution,[status(thm)],[f599,f611])).
% 3.18/0.77 fof(f668,plain,(
% 3.18/0.77 spl0_2|~spl0_3|~spl0_4|spl0_5|spl0_7),
% 3.18/0.77 inference(split_clause,[status(thm)],[f667,f647,f650,f653,f656,f664])).
% 3.18/0.77 fof(f669,plain,(
% 3.18/0.77 $false|spl0_4),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f655,f238])).
% 3.18/0.77 fof(f670,plain,(
% 3.18/0.77 spl0_4),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f669])).
% 3.18/0.77 fof(f671,plain,(
% 3.18/0.77 $false|spl0_3),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f652,f404])).
% 3.18/0.77 fof(f672,plain,(
% 3.18/0.77 spl0_3),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f671])).
% 3.18/0.77 fof(f673,plain,(
% 3.18/0.77 $false|~spl0_5),
% 3.18/0.77 inference(backward_subsumption_resolution,[status(thm)],[f612,f657])).
% 3.18/0.77 fof(f674,plain,(
% 3.18/0.77 ~spl0_5),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f673])).
% 3.18/0.77 fof(f681,plain,(
% 3.18/0.77 $false|~spl0_2),
% 3.18/0.77 inference(backward_subsumption_resolution,[status(thm)],[f648,f402])).
% 3.18/0.77 fof(f682,plain,(
% 3.18/0.77 ~spl0_2),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f681])).
% 3.18/0.77 fof(f683,plain,(
% 3.18/0.77 one_sorted_str(sk0_22)),
% 3.18/0.77 inference(resolution,[status(thm)],[f246,f542])).
% 3.18/0.77 fof(f684,plain,(
% 3.18/0.77 one_sorted_str(sk0_18)),
% 3.18/0.77 inference(resolution,[status(thm)],[f246,f526])).
% 3.18/0.77 fof(f685,plain,(
% 3.18/0.77 one_sorted_str(sk0_17)),
% 3.18/0.77 inference(resolution,[status(thm)],[f246,f516])).
% 3.18/0.77 fof(f686,plain,(
% 3.18/0.77 one_sorted_str(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f246,f505])).
% 3.18/0.77 fof(f688,plain,(
% 3.18/0.77 one_sorted_str(sk0_12)),
% 3.18/0.77 inference(resolution,[status(thm)],[f246,f488])).
% 3.18/0.77 fof(f724,plain,(
% 3.18/0.77 spl0_13 <=> in(sk0_29,empty_set)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f725,plain,(
% 3.18/0.77 in(sk0_29,empty_set)|~spl0_13),
% 3.18/0.77 inference(component_clause,[status(thm)],[f724])).
% 3.18/0.77 fof(f729,plain,(
% 3.18/0.77 ~empty(empty_set)|~spl0_13),
% 3.18/0.77 inference(resolution,[status(thm)],[f725,f629])).
% 3.18/0.77 fof(f748,plain,(
% 3.18/0.77 ![X0]: (~latt_str(boole_lattice(X0))|empty_carrier(boole_lattice(X0))|meet_commutative(boole_lattice(X0)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f147,f289])).
% 3.18/0.77 fof(f749,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(boole_lattice(X0))|meet_commutative(boole_lattice(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f748,f223])).
% 3.18/0.77 fof(f750,plain,(
% 3.18/0.77 ![X0]: (meet_commutative(boole_lattice(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f749,f281])).
% 3.18/0.77 fof(f754,plain,(
% 3.18/0.77 ![X0]: (~latt_str(boole_lattice(X0))|empty_carrier(boole_lattice(X0))|meet_absorbing(boole_lattice(X0)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f149,f289])).
% 3.18/0.77 fof(f755,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(boole_lattice(X0))|meet_absorbing(boole_lattice(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f754,f223])).
% 3.18/0.77 fof(f756,plain,(
% 3.18/0.77 ![X0]: (meet_absorbing(boole_lattice(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f755,f281])).
% 3.18/0.77 fof(f757,plain,(
% 3.18/0.77 ![X0]: (~latt_str(boole_lattice(X0))|empty_carrier(boole_lattice(X0))|join_absorbing(boole_lattice(X0)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f150,f289])).
% 3.18/0.77 fof(f758,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(boole_lattice(X0))|join_absorbing(boole_lattice(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f757,f223])).
% 3.18/0.77 fof(f759,plain,(
% 3.18/0.77 ![X0]: (join_absorbing(boole_lattice(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f758,f281])).
% 3.18/0.77 fof(f773,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(boole_lattice(X0))|~latt_str(boole_lattice(X0))|strict_rel_str(poset_of_lattice(boole_lattice(X0))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f231,f289])).
% 3.18/0.77 fof(f774,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(boole_lattice(X0))|~latt_str(boole_lattice(X0))|strict_rel_str(boole_POSet(X0)))),
% 3.18/0.77 inference(forward_demodulation,[status(thm)],[f207,f773])).
% 3.18/0.77 fof(f775,plain,(
% 3.18/0.77 ![X0]: (~latt_str(boole_lattice(X0))|strict_rel_str(boole_POSet(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f774,f281])).
% 3.18/0.77 fof(f795,plain,(
% 3.18/0.77 ![X0]: (relation_of2_as_subset(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f259,f238])).
% 3.18/0.77 fof(f810,plain,(
% 3.18/0.77 ![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))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f206,f289])).
% 3.18/0.77 fof(f811,plain,(
% 3.18/0.77 ![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))))),
% 3.18/0.77 inference(forward_demodulation,[status(thm)],[f207,f810])).
% 3.18/0.77 fof(f812,plain,(
% 3.18/0.77 ![X0]: (~latt_str(boole_lattice(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f811,f281])).
% 3.18/0.77 fof(f843,plain,(
% 3.18/0.77 spl0_20 <=> element(sk0_30,the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f845,plain,(
% 3.18/0.77 ~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|spl0_20),
% 3.18/0.77 inference(component_clause,[status(thm)],[f843])).
% 3.18/0.77 fof(f846,plain,(
% 3.18/0.77 spl0_21 <=> related(boole_POSet(sk0_28),sk0_30,sk0_30)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f847,plain,(
% 3.18/0.77 related(boole_POSet(sk0_28),sk0_30,sk0_30)|~spl0_21),
% 3.18/0.77 inference(component_clause,[status(thm)],[f846])).
% 3.18/0.77 fof(f849,plain,(
% 3.18/0.77 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),
% 3.18/0.77 inference(resolution,[status(thm)],[f590,f660])).
% 3.18/0.77 fof(f850,plain,(
% 3.18/0.77 spl0_2|~spl0_3|~spl0_4|~spl0_20|spl0_21|~spl0_6),
% 3.18/0.77 inference(split_clause,[status(thm)],[f849,f647,f650,f653,f843,f846,f659])).
% 3.18/0.77 fof(f851,plain,(
% 3.18/0.77 spl0_22 <=> element(sk0_29,the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f853,plain,(
% 3.18/0.77 ~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|spl0_22),
% 3.18/0.77 inference(component_clause,[status(thm)],[f851])).
% 3.18/0.77 fof(f854,plain,(
% 3.18/0.77 spl0_23 <=> related(boole_POSet(sk0_28),sk0_29,sk0_29)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f855,plain,(
% 3.18/0.77 related(boole_POSet(sk0_28),sk0_29,sk0_29)|~spl0_23),
% 3.18/0.77 inference(component_clause,[status(thm)],[f854])).
% 3.18/0.77 fof(f857,plain,(
% 3.18/0.77 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),
% 3.18/0.77 inference(resolution,[status(thm)],[f590,f665])).
% 3.18/0.77 fof(f858,plain,(
% 3.18/0.77 spl0_2|~spl0_3|~spl0_4|~spl0_22|spl0_23|~spl0_7),
% 3.18/0.77 inference(split_clause,[status(thm)],[f857,f647,f650,f653,f851,f854,f664])).
% 3.18/0.77 fof(f859,plain,(
% 3.18/0.77 spl0_24 <=> related(boole_POSet(sk0_28),sk0_29,sk0_30)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f860,plain,(
% 3.18/0.77 related(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_24),
% 3.18/0.77 inference(component_clause,[status(thm)],[f859])).
% 3.18/0.77 fof(f864,plain,(
% 3.18/0.77 $false|spl0_22),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f853,f611])).
% 3.18/0.77 fof(f865,plain,(
% 3.18/0.77 spl0_22),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f864])).
% 3.18/0.77 fof(f866,plain,(
% 3.18/0.77 $false|spl0_20),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f845,f612])).
% 3.18/0.77 fof(f867,plain,(
% 3.18/0.77 spl0_20),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f866])).
% 3.18/0.77 fof(f870,plain,(
% 3.18/0.77 spl0_25 <=> empty(powerset(sk0_30))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f871,plain,(
% 3.18/0.77 empty(powerset(sk0_30))|~spl0_25),
% 3.18/0.77 inference(component_clause,[status(thm)],[f870])).
% 3.18/0.77 fof(f878,plain,(
% 3.18/0.77 $false|~spl0_25),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f871,f306])).
% 3.18/0.77 fof(f879,plain,(
% 3.18/0.77 ~spl0_25),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f878])).
% 3.18/0.77 fof(f882,plain,(
% 3.18/0.77 $false|~spl0_13),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f307,f729])).
% 3.18/0.77 fof(f883,plain,(
% 3.18/0.77 ~spl0_13),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f882])).
% 3.18/0.77 fof(f884,plain,(
% 3.18/0.77 join_semilatt_str(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f427,f251])).
% 3.18/0.77 fof(f886,plain,(
% 3.18/0.77 spl0_27 <=> latt_str(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f888,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|spl0_27),
% 3.18/0.77 inference(component_clause,[status(thm)],[f886])).
% 3.18/0.77 fof(f889,plain,(
% 3.18/0.77 spl0_28 <=> sk0_8=latt_str_of(the_carrier(sk0_8),the_L_join(sk0_8),the_L_meet(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f892,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|sk0_8=latt_str_of(the_carrier(sk0_8),the_L_join(sk0_8),the_L_meet(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f429,f126])).
% 3.18/0.77 fof(f893,plain,(
% 3.18/0.77 ~spl0_27|spl0_28),
% 3.18/0.77 inference(split_clause,[status(thm)],[f892,f886,f889])).
% 3.18/0.77 fof(f894,plain,(
% 3.18/0.77 $false|spl0_27),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f888,f427])).
% 3.18/0.77 fof(f895,plain,(
% 3.18/0.77 spl0_27),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f894])).
% 3.18/0.77 fof(f896,plain,(
% 3.18/0.77 spl0_29 <=> empty_carrier(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f897,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~spl0_29),
% 3.18/0.77 inference(component_clause,[status(thm)],[f896])).
% 3.18/0.77 fof(f899,plain,(
% 3.18/0.77 spl0_30 <=> relation_of2_as_subset(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f902,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|relation_of2_as_subset(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f229])).
% 3.18/0.77 fof(f903,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_30),
% 3.18/0.77 inference(split_clause,[status(thm)],[f902,f896,f886,f899])).
% 3.18/0.77 fof(f904,plain,(
% 3.18/0.77 spl0_31 <=> v1_partfun1(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f907,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|v1_partfun1(k2_lattice3(sk0_8),the_carrier(sk0_8),the_carrier(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f228])).
% 3.18/0.77 fof(f908,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_31),
% 3.18/0.77 inference(split_clause,[status(thm)],[f907,f896,f886,f904])).
% 3.18/0.77 fof(f909,plain,(
% 3.18/0.77 spl0_32 <=> poset_of_lattice(sk0_8)=rel_str_of(the_carrier(sk0_8),k2_lattice3(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f912,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|poset_of_lattice(sk0_8)=rel_str_of(the_carrier(sk0_8),k2_lattice3(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f206])).
% 3.18/0.77 fof(f913,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_32),
% 3.18/0.77 inference(split_clause,[status(thm)],[f912,f896,f886,f909])).
% 3.18/0.77 fof(f914,plain,(
% 3.18/0.77 spl0_33 <=> k2_lattice3(sk0_8)=relation_of_lattice(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f917,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|k2_lattice3(sk0_8)=relation_of_lattice(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f579])).
% 3.18/0.77 fof(f918,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_33),
% 3.18/0.77 inference(split_clause,[status(thm)],[f917,f896,f886,f914])).
% 3.18/0.77 fof(f919,plain,(
% 3.18/0.77 spl0_34 <=> with_infima_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f920,plain,(
% 3.18/0.77 with_infima_relstr(poset_of_lattice(sk0_8))|~spl0_34),
% 3.18/0.77 inference(component_clause,[status(thm)],[f919])).
% 3.18/0.77 fof(f922,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|with_infima_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f319])).
% 3.18/0.77 fof(f923,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_34),
% 3.18/0.77 inference(split_clause,[status(thm)],[f922,f896,f886,f919])).
% 3.18/0.77 fof(f924,plain,(
% 3.18/0.77 spl0_35 <=> with_suprema_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f927,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|with_suprema_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f318])).
% 3.18/0.77 fof(f928,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_35),
% 3.18/0.77 inference(split_clause,[status(thm)],[f927,f896,f886,f924])).
% 3.18/0.77 fof(f929,plain,(
% 3.18/0.77 spl0_36 <=> relation(relation_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f932,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|relation(relation_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f242])).
% 3.18/0.77 fof(f933,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_36),
% 3.18/0.77 inference(split_clause,[status(thm)],[f932,f896,f886,f929])).
% 3.18/0.77 fof(f934,plain,(
% 3.18/0.77 spl0_37 <=> rel_str(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f935,plain,(
% 3.18/0.77 rel_str(poset_of_lattice(sk0_8))|~spl0_37),
% 3.18/0.77 inference(component_clause,[status(thm)],[f934])).
% 3.18/0.77 fof(f937,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|rel_str(poset_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f235])).
% 3.18/0.77 fof(f938,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_37),
% 3.18/0.77 inference(split_clause,[status(thm)],[f937,f896,f886,f934])).
% 3.18/0.77 fof(f939,plain,(
% 3.18/0.77 spl0_38 <=> antisymmetric_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f940,plain,(
% 3.18/0.77 antisymmetric_relstr(poset_of_lattice(sk0_8))|~spl0_38),
% 3.18/0.77 inference(component_clause,[status(thm)],[f939])).
% 3.18/0.77 fof(f942,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|antisymmetric_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f234])).
% 3.18/0.77 fof(f943,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_38),
% 3.18/0.77 inference(split_clause,[status(thm)],[f942,f896,f886,f939])).
% 3.18/0.77 fof(f944,plain,(
% 3.18/0.77 spl0_39 <=> transitive_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f947,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|transitive_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f233])).
% 3.18/0.77 fof(f948,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_39),
% 3.18/0.77 inference(split_clause,[status(thm)],[f947,f896,f886,f944])).
% 3.18/0.77 fof(f949,plain,(
% 3.18/0.77 spl0_40 <=> reflexive_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f950,plain,(
% 3.18/0.77 reflexive_relstr(poset_of_lattice(sk0_8))|~spl0_40),
% 3.18/0.77 inference(component_clause,[status(thm)],[f949])).
% 3.18/0.77 fof(f952,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|reflexive_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f232])).
% 3.18/0.77 fof(f953,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_40),
% 3.18/0.77 inference(split_clause,[status(thm)],[f952,f896,f886,f949])).
% 3.18/0.77 fof(f954,plain,(
% 3.18/0.77 spl0_41 <=> strict_rel_str(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f955,plain,(
% 3.18/0.77 strict_rel_str(poset_of_lattice(sk0_8))|~spl0_41),
% 3.18/0.77 inference(component_clause,[status(thm)],[f954])).
% 3.18/0.77 fof(f957,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|strict_rel_str(poset_of_lattice(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f231])).
% 3.18/0.77 fof(f958,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_41),
% 3.18/0.77 inference(split_clause,[status(thm)],[f957,f896,f886,f954])).
% 3.18/0.77 fof(f959,plain,(
% 3.18/0.77 spl0_42 <=> transitive(k2_lattice3(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f962,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|transitive(k2_lattice3(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f227])).
% 3.18/0.77 fof(f963,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_42),
% 3.18/0.77 inference(split_clause,[status(thm)],[f962,f896,f886,f959])).
% 3.18/0.77 fof(f964,plain,(
% 3.18/0.77 spl0_43 <=> antisymmetric(k2_lattice3(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f967,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|antisymmetric(k2_lattice3(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f226])).
% 3.18/0.77 fof(f968,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_43),
% 3.18/0.77 inference(split_clause,[status(thm)],[f967,f896,f886,f964])).
% 3.18/0.77 fof(f969,plain,(
% 3.18/0.77 spl0_44 <=> reflexive(k2_lattice3(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f972,plain,(
% 3.18/0.77 empty_carrier(sk0_8)|~latt_str(sk0_8)|reflexive(k2_lattice3(sk0_8))),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f225])).
% 3.18/0.77 fof(f973,plain,(
% 3.18/0.77 spl0_29|~spl0_27|spl0_44),
% 3.18/0.77 inference(split_clause,[status(thm)],[f972,f896,f886,f969])).
% 3.18/0.77 fof(f974,plain,(
% 3.18/0.77 spl0_45 <=> join_absorbing(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f977,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|join_absorbing(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f150])).
% 3.18/0.77 fof(f978,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|spl0_45),
% 3.18/0.77 inference(split_clause,[status(thm)],[f977,f886,f896,f974])).
% 3.18/0.77 fof(f979,plain,(
% 3.18/0.77 spl0_46 <=> meet_absorbing(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f982,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|meet_absorbing(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f149])).
% 3.18/0.77 fof(f983,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|spl0_46),
% 3.18/0.77 inference(split_clause,[status(thm)],[f982,f886,f896,f979])).
% 3.18/0.77 fof(f984,plain,(
% 3.18/0.77 spl0_47 <=> meet_associative(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f987,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|meet_associative(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f148])).
% 3.18/0.77 fof(f988,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|spl0_47),
% 3.18/0.77 inference(split_clause,[status(thm)],[f987,f886,f896,f984])).
% 3.18/0.77 fof(f989,plain,(
% 3.18/0.77 spl0_48 <=> meet_commutative(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f992,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|meet_commutative(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f147])).
% 3.18/0.77 fof(f993,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|spl0_48),
% 3.18/0.77 inference(split_clause,[status(thm)],[f992,f886,f896,f989])).
% 3.18/0.77 fof(f994,plain,(
% 3.18/0.77 spl0_49 <=> join_associative(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f997,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|join_associative(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f146])).
% 3.18/0.77 fof(f998,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|spl0_49),
% 3.18/0.77 inference(split_clause,[status(thm)],[f997,f886,f896,f994])).
% 3.18/0.77 fof(f999,plain,(
% 3.18/0.77 spl0_50 <=> join_commutative(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1002,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|join_commutative(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f436,f145])).
% 3.18/0.77 fof(f1003,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|spl0_50),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1002,f886,f896,f999])).
% 3.18/0.77 fof(f1004,plain,(
% 3.18/0.77 $false|~spl0_29),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f897,f428])).
% 3.18/0.77 fof(f1005,plain,(
% 3.18/0.77 ~spl0_29),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1004])).
% 3.18/0.77 fof(f1007,plain,(
% 3.18/0.77 one_sorted_str(poset_of_lattice(sk0_8))|~spl0_37),
% 3.18/0.77 inference(resolution,[status(thm)],[f935,f246])).
% 3.18/0.77 fof(f1008,plain,(
% 3.18/0.77 spl0_51 <=> lattice(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1011,plain,(
% 3.18/0.77 ~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)),
% 3.18/0.77 inference(resolution,[status(thm)],[f162,f435])).
% 3.18/0.77 fof(f1012,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|~spl0_50|~spl0_49|~spl0_48|~spl0_47|~spl0_46|spl0_51),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1011,f886,f896,f999,f994,f989,f984,f979,f1008])).
% 3.18/0.77 fof(f1021,plain,(
% 3.18/0.77 spl0_52 <=> in(ordered_pair(sk0_29,sk0_29),the_InternalRel(boole_POSet(sk0_28)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1022,plain,(
% 3.18/0.77 in(ordered_pair(sk0_29,sk0_29),the_InternalRel(boole_POSet(sk0_28)))|~spl0_52),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1021])).
% 3.18/0.77 fof(f1024,plain,(
% 3.18/0.77 ~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_23),
% 3.18/0.77 inference(resolution,[status(thm)],[f855,f213])).
% 3.18/0.77 fof(f1025,plain,(
% 3.18/0.77 ~spl0_4|~spl0_22|spl0_52|~spl0_23),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1024,f653,f851,f1021,f854])).
% 3.18/0.77 fof(f1028,plain,(
% 3.18/0.77 spl0_53 <=> in(ordered_pair(sk0_30,sk0_30),the_InternalRel(boole_POSet(sk0_28)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1029,plain,(
% 3.18/0.77 in(ordered_pair(sk0_30,sk0_30),the_InternalRel(boole_POSet(sk0_28)))|~spl0_53),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1028])).
% 3.18/0.77 fof(f1031,plain,(
% 3.18/0.77 ~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_21),
% 3.18/0.77 inference(resolution,[status(thm)],[f847,f213])).
% 3.18/0.77 fof(f1032,plain,(
% 3.18/0.77 ~spl0_4|~spl0_20|spl0_53|~spl0_21),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1031,f653,f843,f1028,f846])).
% 3.18/0.77 fof(f1033,plain,(
% 3.18/0.77 ![X0]: (~element(the_InternalRel(boole_POSet(sk0_28)),powerset(X0))|element(ordered_pair(sk0_29,sk0_29),X0)|~spl0_52)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1022,f621])).
% 3.18/0.77 fof(f1034,plain,(
% 3.18/0.77 ![X0]: (~element(the_InternalRel(boole_POSet(sk0_28)),powerset(X0))|~empty(X0)|~spl0_52)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1022,f624])).
% 3.18/0.77 fof(f1037,plain,(
% 3.18/0.77 ![X0]: (~element(the_InternalRel(boole_POSet(sk0_28)),powerset(X0))|element(ordered_pair(sk0_30,sk0_30),X0)|~spl0_53)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1029,f621])).
% 3.18/0.77 fof(f1052,plain,(
% 3.18/0.77 ![X0]: (strict_rel_str(boole_POSet(X0)))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f775,f223])).
% 3.18/0.77 fof(f1053,plain,(
% 3.18/0.77 ![X0]: (~rel_str(boole_POSet(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f1052,f124])).
% 3.18/0.77 fof(f1054,plain,(
% 3.18/0.77 ![X0]: (boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1053,f238])).
% 3.18/0.77 fof(f1062,plain,(
% 3.18/0.77 ![X0]: (element(the_InternalRel(boole_POSet(X0)),powerset(cartesian_product2(the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f795,f253])).
% 3.18/0.77 fof(f1063,plain,(
% 3.18/0.77 ![X0]: (relation_of2(the_InternalRel(boole_POSet(X0)),the_carrier(boole_POSet(X0)),the_carrier(boole_POSet(X0))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f795,f582])).
% 3.18/0.77 fof(f1065,plain,(
% 3.18/0.77 ![X0]: (boole_POSet(X0)=rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))))),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f812,f223])).
% 3.18/0.77 fof(f1066,plain,(
% 3.18/0.77 element(ordered_pair(sk0_30,sk0_30),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_53),
% 3.18/0.77 inference(resolution,[status(thm)],[f1062,f1037])).
% 3.18/0.77 fof(f1067,plain,(
% 3.18/0.77 element(ordered_pair(sk0_29,sk0_29),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_52),
% 3.18/0.77 inference(resolution,[status(thm)],[f1062,f1033])).
% 3.18/0.77 fof(f1068,plain,(
% 3.18/0.77 ~empty(cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_52),
% 3.18/0.77 inference(resolution,[status(thm)],[f1062,f1034])).
% 3.18/0.77 fof(f1073,plain,(
% 3.18/0.77 spl0_55 <=> empty(cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1074,plain,(
% 3.18/0.77 empty(cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_55),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1073])).
% 3.18/0.77 fof(f1076,plain,(
% 3.18/0.77 spl0_56 <=> in(ordered_pair(sk0_30,sk0_30),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1079,plain,(
% 3.18/0.77 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_53),
% 3.18/0.77 inference(resolution,[status(thm)],[f1066,f607])).
% 3.18/0.77 fof(f1080,plain,(
% 3.18/0.77 spl0_55|spl0_56|~spl0_53),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1079,f1073,f1076,f1028])).
% 3.18/0.77 fof(f1081,plain,(
% 3.18/0.77 $false|~spl0_52|~spl0_55),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1074,f1068])).
% 3.18/0.77 fof(f1082,plain,(
% 3.18/0.77 ~spl0_52|~spl0_55),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1081])).
% 3.18/0.77 fof(f1083,plain,(
% 3.18/0.77 spl0_57 <=> in(ordered_pair(sk0_29,sk0_29),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1086,plain,(
% 3.18/0.77 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_52),
% 3.18/0.77 inference(resolution,[status(thm)],[f1067,f607])).
% 3.18/0.77 fof(f1087,plain,(
% 3.18/0.77 spl0_55|spl0_57|~spl0_52),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1086,f1073,f1083,f1021])).
% 3.18/0.77 fof(f1100,plain,(
% 3.18/0.77 spl0_58 <=> lower_bounded_semilattstr(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1102,plain,(
% 3.18/0.77 ~lower_bounded_semilattstr(sk0_8)|spl0_58),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1100])).
% 3.18/0.77 fof(f1103,plain,(
% 3.18/0.77 spl0_59 <=> bounded_lattstr(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1104,plain,(
% 3.18/0.77 bounded_lattstr(sk0_8)|~spl0_59),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1103])).
% 3.18/0.77 fof(f1106,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|~lower_bounded_semilattstr(sk0_8)|bounded_lattstr(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f440,f171])).
% 3.18/0.77 fof(f1107,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|~spl0_58|spl0_59),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1106,f886,f896,f1100,f1103])).
% 3.18/0.77 fof(f1108,plain,(
% 3.18/0.77 $false|spl0_58),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1102,f439])).
% 3.18/0.77 fof(f1109,plain,(
% 3.18/0.77 spl0_58),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1108])).
% 3.18/0.77 fof(f1110,plain,(
% 3.18/0.77 join_semilatt_str(sk0_9)),
% 3.18/0.77 inference(resolution,[status(thm)],[f442,f251])).
% 3.18/0.77 fof(f1112,plain,(
% 3.18/0.77 spl0_60 <=> latt_str(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1114,plain,(
% 3.18/0.77 ~latt_str(sk0_9)|spl0_60),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1112])).
% 3.18/0.77 fof(f1115,plain,(
% 3.18/0.77 spl0_61 <=> sk0_9=latt_str_of(the_carrier(sk0_9),the_L_join(sk0_9),the_L_meet(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1118,plain,(
% 3.18/0.77 ~latt_str(sk0_9)|sk0_9=latt_str_of(the_carrier(sk0_9),the_L_join(sk0_9),the_L_meet(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f444,f126])).
% 3.18/0.77 fof(f1119,plain,(
% 3.18/0.77 ~spl0_60|spl0_61),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1118,f1112,f1115])).
% 3.18/0.77 fof(f1120,plain,(
% 3.18/0.77 $false|spl0_60),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1114,f442])).
% 3.18/0.77 fof(f1121,plain,(
% 3.18/0.77 spl0_60),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1120])).
% 3.18/0.77 fof(f1122,plain,(
% 3.18/0.77 spl0_62 <=> empty_carrier(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1123,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~spl0_62),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1122])).
% 3.18/0.77 fof(f1125,plain,(
% 3.18/0.77 spl0_63 <=> join_commutative(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1127,plain,(
% 3.18/0.77 ~join_commutative(sk0_9)|spl0_63),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1125])).
% 3.18/0.77 fof(f1128,plain,(
% 3.18/0.77 spl0_64 <=> join_associative(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1130,plain,(
% 3.18/0.77 ~join_associative(sk0_9)|spl0_64),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1128])).
% 3.18/0.77 fof(f1131,plain,(
% 3.18/0.77 spl0_65 <=> meet_commutative(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1133,plain,(
% 3.18/0.77 ~meet_commutative(sk0_9)|spl0_65),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1131])).
% 3.18/0.77 fof(f1134,plain,(
% 3.18/0.77 spl0_66 <=> meet_associative(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1136,plain,(
% 3.18/0.77 ~meet_associative(sk0_9)|spl0_66),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1134])).
% 3.18/0.77 fof(f1137,plain,(
% 3.18/0.77 spl0_67 <=> meet_absorbing(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1139,plain,(
% 3.18/0.77 ~meet_absorbing(sk0_9)|spl0_67),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1137])).
% 3.18/0.77 fof(f1140,plain,(
% 3.18/0.77 spl0_68 <=> lattice(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1143,plain,(
% 3.18/0.77 ~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)),
% 3.18/0.77 inference(resolution,[status(thm)],[f450,f162])).
% 3.18/0.77 fof(f1144,plain,(
% 3.18/0.77 ~spl0_60|spl0_62|~spl0_63|~spl0_64|~spl0_65|~spl0_66|~spl0_67|spl0_68),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1143,f1112,f1122,f1125,f1128,f1131,f1134,f1137,f1140])).
% 3.18/0.77 fof(f1145,plain,(
% 3.18/0.77 $false|spl0_67),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1139,f449])).
% 3.18/0.77 fof(f1146,plain,(
% 3.18/0.77 spl0_67),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1145])).
% 3.18/0.77 fof(f1147,plain,(
% 3.18/0.77 $false|spl0_66),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1136,f448])).
% 3.18/0.77 fof(f1148,plain,(
% 3.18/0.77 spl0_66),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1147])).
% 3.18/0.77 fof(f1149,plain,(
% 3.18/0.77 $false|spl0_65),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1133,f447])).
% 3.18/0.77 fof(f1150,plain,(
% 3.18/0.77 spl0_65),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1149])).
% 3.18/0.77 fof(f1151,plain,(
% 3.18/0.77 $false|spl0_64),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1130,f446])).
% 3.18/0.77 fof(f1152,plain,(
% 3.18/0.77 spl0_64),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1151])).
% 3.18/0.77 fof(f1153,plain,(
% 3.18/0.77 $false|spl0_63),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1127,f445])).
% 3.18/0.77 fof(f1154,plain,(
% 3.18/0.77 spl0_63),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1153])).
% 3.18/0.77 fof(f1155,plain,(
% 3.18/0.77 $false|~spl0_62),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1123,f443])).
% 3.18/0.77 fof(f1156,plain,(
% 3.18/0.77 ~spl0_62),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1155])).
% 3.18/0.77 fof(f1157,plain,(
% 3.18/0.77 spl0_69 <=> relation_of2_as_subset(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1160,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|relation_of2_as_subset(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f229])).
% 3.18/0.77 fof(f1161,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_69),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1160,f1122,f1112,f1157])).
% 3.18/0.77 fof(f1162,plain,(
% 3.18/0.77 spl0_70 <=> v1_partfun1(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1165,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|v1_partfun1(k2_lattice3(sk0_9),the_carrier(sk0_9),the_carrier(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f228])).
% 3.18/0.77 fof(f1166,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_70),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1165,f1122,f1112,f1162])).
% 3.18/0.77 fof(f1167,plain,(
% 3.18/0.77 spl0_71 <=> poset_of_lattice(sk0_9)=rel_str_of(the_carrier(sk0_9),k2_lattice3(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1170,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|poset_of_lattice(sk0_9)=rel_str_of(the_carrier(sk0_9),k2_lattice3(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f206])).
% 3.18/0.77 fof(f1171,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_71),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1170,f1122,f1112,f1167])).
% 3.18/0.77 fof(f1172,plain,(
% 3.18/0.77 spl0_72 <=> k2_lattice3(sk0_9)=relation_of_lattice(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1175,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|k2_lattice3(sk0_9)=relation_of_lattice(sk0_9)),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f579])).
% 3.18/0.77 fof(f1176,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_72),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1175,f1122,f1112,f1172])).
% 3.18/0.77 fof(f1177,plain,(
% 3.18/0.77 spl0_73 <=> with_infima_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1180,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|with_infima_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f319])).
% 3.18/0.77 fof(f1181,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_73),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1180,f1122,f1112,f1177])).
% 3.18/0.77 fof(f1182,plain,(
% 3.18/0.77 spl0_74 <=> with_suprema_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1185,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|with_suprema_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f318])).
% 3.18/0.77 fof(f1186,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_74),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1185,f1122,f1112,f1182])).
% 3.18/0.77 fof(f1187,plain,(
% 3.18/0.77 spl0_75 <=> relation(relation_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1190,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|relation(relation_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f242])).
% 3.18/0.77 fof(f1191,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_75),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1190,f1122,f1112,f1187])).
% 3.18/0.77 fof(f1192,plain,(
% 3.18/0.77 spl0_76 <=> rel_str(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1193,plain,(
% 3.18/0.77 rel_str(poset_of_lattice(sk0_9))|~spl0_76),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1192])).
% 3.18/0.77 fof(f1195,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|rel_str(poset_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f235])).
% 3.18/0.77 fof(f1196,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_76),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1195,f1122,f1112,f1192])).
% 3.18/0.77 fof(f1197,plain,(
% 3.18/0.77 spl0_77 <=> antisymmetric_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1198,plain,(
% 3.18/0.77 antisymmetric_relstr(poset_of_lattice(sk0_9))|~spl0_77),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1197])).
% 3.18/0.77 fof(f1200,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|antisymmetric_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f234])).
% 3.18/0.77 fof(f1201,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_77),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1200,f1122,f1112,f1197])).
% 3.18/0.77 fof(f1202,plain,(
% 3.18/0.77 spl0_78 <=> transitive_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1205,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|transitive_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f233])).
% 3.18/0.77 fof(f1206,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_78),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1205,f1122,f1112,f1202])).
% 3.18/0.77 fof(f1207,plain,(
% 3.18/0.77 spl0_79 <=> reflexive_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1208,plain,(
% 3.18/0.77 reflexive_relstr(poset_of_lattice(sk0_9))|~spl0_79),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1207])).
% 3.18/0.77 fof(f1210,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|reflexive_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f232])).
% 3.18/0.77 fof(f1211,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_79),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1210,f1122,f1112,f1207])).
% 3.18/0.77 fof(f1212,plain,(
% 3.18/0.77 spl0_80 <=> strict_rel_str(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1213,plain,(
% 3.18/0.77 strict_rel_str(poset_of_lattice(sk0_9))|~spl0_80),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1212])).
% 3.18/0.77 fof(f1215,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|strict_rel_str(poset_of_lattice(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f231])).
% 3.18/0.77 fof(f1216,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_80),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1215,f1122,f1112,f1212])).
% 3.18/0.77 fof(f1217,plain,(
% 3.18/0.77 spl0_81 <=> transitive(k2_lattice3(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1220,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|transitive(k2_lattice3(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f227])).
% 3.18/0.77 fof(f1221,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_81),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1220,f1122,f1112,f1217])).
% 3.18/0.77 fof(f1222,plain,(
% 3.18/0.77 spl0_82 <=> antisymmetric(k2_lattice3(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1225,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|antisymmetric(k2_lattice3(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f226])).
% 3.18/0.77 fof(f1226,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_82),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1225,f1122,f1112,f1222])).
% 3.18/0.77 fof(f1227,plain,(
% 3.18/0.77 spl0_83 <=> reflexive(k2_lattice3(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1230,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~latt_str(sk0_9)|reflexive(k2_lattice3(sk0_9))),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f225])).
% 3.18/0.77 fof(f1231,plain,(
% 3.18/0.77 spl0_62|~spl0_60|spl0_83),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1230,f1122,f1112,f1227])).
% 3.18/0.77 fof(f1232,plain,(
% 3.18/0.77 spl0_84 <=> join_absorbing(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1235,plain,(
% 3.18/0.77 ~latt_str(sk0_9)|empty_carrier(sk0_9)|join_absorbing(sk0_9)),
% 3.18/0.77 inference(resolution,[status(thm)],[f451,f150])).
% 3.18/0.77 fof(f1236,plain,(
% 3.18/0.77 ~spl0_60|spl0_62|spl0_84),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1235,f1112,f1122,f1232])).
% 3.18/0.77 fof(f1248,plain,(
% 3.18/0.77 one_sorted_str(poset_of_lattice(sk0_9))|~spl0_76),
% 3.18/0.77 inference(resolution,[status(thm)],[f1193,f246])).
% 3.18/0.77 fof(f1249,plain,(
% 3.18/0.77 spl0_85 <=> lower_bounded_semilattstr(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1251,plain,(
% 3.18/0.77 ~lower_bounded_semilattstr(sk0_9)|spl0_85),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1249])).
% 3.18/0.77 fof(f1252,plain,(
% 3.18/0.77 spl0_86 <=> bounded_lattstr(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1255,plain,(
% 3.18/0.77 ~latt_str(sk0_9)|empty_carrier(sk0_9)|~lower_bounded_semilattstr(sk0_9)|bounded_lattstr(sk0_9)),
% 3.18/0.77 inference(resolution,[status(thm)],[f453,f171])).
% 3.18/0.77 fof(f1256,plain,(
% 3.18/0.77 ~spl0_60|spl0_62|~spl0_85|spl0_86),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1255,f1112,f1122,f1249,f1252])).
% 3.18/0.77 fof(f1257,plain,(
% 3.18/0.77 $false|spl0_85),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1251,f452])).
% 3.18/0.77 fof(f1258,plain,(
% 3.18/0.77 spl0_85),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1257])).
% 3.18/0.77 fof(f1259,plain,(
% 3.18/0.77 spl0_87 <=> upper_bounded_semilattstr(sk0_9)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1262,plain,(
% 3.18/0.77 ~latt_str(sk0_9)|empty_carrier(sk0_9)|upper_bounded_semilattstr(sk0_9)),
% 3.18/0.77 inference(resolution,[status(thm)],[f454,f178])).
% 3.18/0.77 fof(f1263,plain,(
% 3.18/0.77 ~spl0_60|spl0_62|spl0_87),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1262,f1112,f1122,f1259])).
% 3.18/0.77 fof(f1266,plain,(
% 3.18/0.77 join_semilatt_str(sk0_10)),
% 3.18/0.77 inference(resolution,[status(thm)],[f456,f251])).
% 3.18/0.77 fof(f1268,plain,(
% 3.18/0.77 spl0_88 <=> latt_str(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1270,plain,(
% 3.18/0.77 ~latt_str(sk0_10)|spl0_88),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1268])).
% 3.18/0.77 fof(f1271,plain,(
% 3.18/0.77 spl0_89 <=> sk0_10=latt_str_of(the_carrier(sk0_10),the_L_join(sk0_10),the_L_meet(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1274,plain,(
% 3.18/0.77 ~latt_str(sk0_10)|sk0_10=latt_str_of(the_carrier(sk0_10),the_L_join(sk0_10),the_L_meet(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f458,f126])).
% 3.18/0.77 fof(f1275,plain,(
% 3.18/0.77 ~spl0_88|spl0_89),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1274,f1268,f1271])).
% 3.18/0.77 fof(f1276,plain,(
% 3.18/0.77 $false|spl0_88),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1270,f456])).
% 3.18/0.77 fof(f1277,plain,(
% 3.18/0.77 spl0_88),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1276])).
% 3.18/0.77 fof(f1278,plain,(
% 3.18/0.77 spl0_90 <=> empty_carrier(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1279,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~spl0_90),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1278])).
% 3.18/0.77 fof(f1281,plain,(
% 3.18/0.77 spl0_91 <=> join_commutative(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1283,plain,(
% 3.18/0.77 ~join_commutative(sk0_10)|spl0_91),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1281])).
% 3.18/0.77 fof(f1284,plain,(
% 3.18/0.77 spl0_92 <=> join_associative(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1286,plain,(
% 3.18/0.77 ~join_associative(sk0_10)|spl0_92),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1284])).
% 3.18/0.77 fof(f1287,plain,(
% 3.18/0.77 spl0_93 <=> meet_commutative(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1289,plain,(
% 3.18/0.77 ~meet_commutative(sk0_10)|spl0_93),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1287])).
% 3.18/0.77 fof(f1290,plain,(
% 3.18/0.77 spl0_94 <=> meet_associative(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1292,plain,(
% 3.18/0.77 ~meet_associative(sk0_10)|spl0_94),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1290])).
% 3.18/0.77 fof(f1293,plain,(
% 3.18/0.77 spl0_95 <=> meet_absorbing(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1295,plain,(
% 3.18/0.77 ~meet_absorbing(sk0_10)|spl0_95),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1293])).
% 3.18/0.77 fof(f1296,plain,(
% 3.18/0.77 spl0_96 <=> lattice(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1299,plain,(
% 3.18/0.77 ~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)),
% 3.18/0.77 inference(resolution,[status(thm)],[f464,f162])).
% 3.18/0.77 fof(f1300,plain,(
% 3.18/0.77 ~spl0_88|spl0_90|~spl0_91|~spl0_92|~spl0_93|~spl0_94|~spl0_95|spl0_96),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1299,f1268,f1278,f1281,f1284,f1287,f1290,f1293,f1296])).
% 3.18/0.77 fof(f1301,plain,(
% 3.18/0.77 $false|spl0_95),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1295,f463])).
% 3.18/0.77 fof(f1302,plain,(
% 3.18/0.77 spl0_95),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1301])).
% 3.18/0.77 fof(f1303,plain,(
% 3.18/0.77 $false|spl0_94),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1292,f462])).
% 3.18/0.77 fof(f1304,plain,(
% 3.18/0.77 spl0_94),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1303])).
% 3.18/0.77 fof(f1305,plain,(
% 3.18/0.77 $false|spl0_93),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1289,f461])).
% 3.18/0.77 fof(f1306,plain,(
% 3.18/0.77 spl0_93),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1305])).
% 3.18/0.77 fof(f1307,plain,(
% 3.18/0.77 $false|spl0_92),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1286,f460])).
% 3.18/0.77 fof(f1308,plain,(
% 3.18/0.77 spl0_92),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1307])).
% 3.18/0.77 fof(f1309,plain,(
% 3.18/0.77 $false|spl0_91),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1283,f459])).
% 3.18/0.77 fof(f1310,plain,(
% 3.18/0.77 spl0_91),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1309])).
% 3.18/0.77 fof(f1311,plain,(
% 3.18/0.77 $false|~spl0_90),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1279,f457])).
% 3.18/0.77 fof(f1312,plain,(
% 3.18/0.77 ~spl0_90),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1311])).
% 3.18/0.77 fof(f1313,plain,(
% 3.18/0.77 spl0_97 <=> relation_of2_as_subset(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1316,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|relation_of2_as_subset(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f229])).
% 3.18/0.77 fof(f1317,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_97),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1316,f1278,f1268,f1313])).
% 3.18/0.77 fof(f1318,plain,(
% 3.18/0.77 spl0_98 <=> v1_partfun1(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1321,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|v1_partfun1(k2_lattice3(sk0_10),the_carrier(sk0_10),the_carrier(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f228])).
% 3.18/0.77 fof(f1322,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_98),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1321,f1278,f1268,f1318])).
% 3.18/0.77 fof(f1323,plain,(
% 3.18/0.77 spl0_99 <=> poset_of_lattice(sk0_10)=rel_str_of(the_carrier(sk0_10),k2_lattice3(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1326,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|poset_of_lattice(sk0_10)=rel_str_of(the_carrier(sk0_10),k2_lattice3(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f206])).
% 3.18/0.77 fof(f1327,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_99),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1326,f1278,f1268,f1323])).
% 3.18/0.77 fof(f1328,plain,(
% 3.18/0.77 spl0_100 <=> k2_lattice3(sk0_10)=relation_of_lattice(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1331,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|k2_lattice3(sk0_10)=relation_of_lattice(sk0_10)),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f579])).
% 3.18/0.77 fof(f1332,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_100),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1331,f1278,f1268,f1328])).
% 3.18/0.77 fof(f1333,plain,(
% 3.18/0.77 spl0_101 <=> with_infima_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1336,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|with_infima_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f319])).
% 3.18/0.77 fof(f1337,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_101),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1336,f1278,f1268,f1333])).
% 3.18/0.77 fof(f1338,plain,(
% 3.18/0.77 spl0_102 <=> with_suprema_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1341,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|with_suprema_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f318])).
% 3.18/0.77 fof(f1342,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_102),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1341,f1278,f1268,f1338])).
% 3.18/0.77 fof(f1343,plain,(
% 3.18/0.77 spl0_103 <=> relation(relation_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1346,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|relation(relation_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f242])).
% 3.18/0.77 fof(f1347,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_103),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1346,f1278,f1268,f1343])).
% 3.18/0.77 fof(f1348,plain,(
% 3.18/0.77 spl0_104 <=> rel_str(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1349,plain,(
% 3.18/0.77 rel_str(poset_of_lattice(sk0_10))|~spl0_104),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1348])).
% 3.18/0.77 fof(f1351,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|rel_str(poset_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f235])).
% 3.18/0.77 fof(f1352,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_104),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1351,f1278,f1268,f1348])).
% 3.18/0.77 fof(f1353,plain,(
% 3.18/0.77 spl0_105 <=> antisymmetric_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1354,plain,(
% 3.18/0.77 antisymmetric_relstr(poset_of_lattice(sk0_10))|~spl0_105),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1353])).
% 3.18/0.77 fof(f1356,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|antisymmetric_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f234])).
% 3.18/0.77 fof(f1357,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_105),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1356,f1278,f1268,f1353])).
% 3.18/0.77 fof(f1358,plain,(
% 3.18/0.77 spl0_106 <=> transitive_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1361,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|transitive_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f233])).
% 3.18/0.77 fof(f1362,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_106),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1361,f1278,f1268,f1358])).
% 3.18/0.77 fof(f1363,plain,(
% 3.18/0.77 spl0_107 <=> reflexive_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1364,plain,(
% 3.18/0.77 reflexive_relstr(poset_of_lattice(sk0_10))|~spl0_107),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1363])).
% 3.18/0.77 fof(f1366,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|reflexive_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f232])).
% 3.18/0.77 fof(f1367,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_107),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1366,f1278,f1268,f1363])).
% 3.18/0.77 fof(f1368,plain,(
% 3.18/0.77 spl0_108 <=> strict_rel_str(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1369,plain,(
% 3.18/0.77 strict_rel_str(poset_of_lattice(sk0_10))|~spl0_108),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1368])).
% 3.18/0.77 fof(f1371,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|strict_rel_str(poset_of_lattice(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f231])).
% 3.18/0.77 fof(f1372,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_108),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1371,f1278,f1268,f1368])).
% 3.18/0.77 fof(f1373,plain,(
% 3.18/0.77 spl0_109 <=> transitive(k2_lattice3(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1376,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|transitive(k2_lattice3(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f227])).
% 3.18/0.77 fof(f1377,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_109),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1376,f1278,f1268,f1373])).
% 3.18/0.77 fof(f1378,plain,(
% 3.18/0.77 spl0_110 <=> antisymmetric(k2_lattice3(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1381,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|antisymmetric(k2_lattice3(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f226])).
% 3.18/0.77 fof(f1382,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_110),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1381,f1278,f1268,f1378])).
% 3.18/0.77 fof(f1383,plain,(
% 3.18/0.77 spl0_111 <=> reflexive(k2_lattice3(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1386,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~latt_str(sk0_10)|reflexive(k2_lattice3(sk0_10))),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f225])).
% 3.18/0.77 fof(f1387,plain,(
% 3.18/0.77 spl0_90|~spl0_88|spl0_111),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1386,f1278,f1268,f1383])).
% 3.18/0.77 fof(f1388,plain,(
% 3.18/0.77 spl0_112 <=> join_absorbing(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1391,plain,(
% 3.18/0.77 ~latt_str(sk0_10)|empty_carrier(sk0_10)|join_absorbing(sk0_10)),
% 3.18/0.77 inference(resolution,[status(thm)],[f465,f150])).
% 3.18/0.77 fof(f1392,plain,(
% 3.18/0.77 ~spl0_88|spl0_90|spl0_112),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1391,f1268,f1278,f1388])).
% 3.18/0.77 fof(f1404,plain,(
% 3.18/0.77 one_sorted_str(poset_of_lattice(sk0_10))|~spl0_104),
% 3.18/0.77 inference(resolution,[status(thm)],[f1349,f246])).
% 3.18/0.77 fof(f1405,plain,(
% 3.18/0.77 spl0_113 <=> lower_bounded_semilattstr(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1407,plain,(
% 3.18/0.77 ~lower_bounded_semilattstr(sk0_10)|spl0_113),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1405])).
% 3.18/0.77 fof(f1408,plain,(
% 3.18/0.77 spl0_114 <=> bounded_lattstr(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1411,plain,(
% 3.18/0.77 ~latt_str(sk0_10)|empty_carrier(sk0_10)|~lower_bounded_semilattstr(sk0_10)|bounded_lattstr(sk0_10)),
% 3.18/0.77 inference(resolution,[status(thm)],[f467,f171])).
% 3.18/0.77 fof(f1412,plain,(
% 3.18/0.77 ~spl0_88|spl0_90|~spl0_113|spl0_114),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1411,f1268,f1278,f1405,f1408])).
% 3.18/0.77 fof(f1413,plain,(
% 3.18/0.77 $false|spl0_113),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1407,f466])).
% 3.18/0.77 fof(f1414,plain,(
% 3.18/0.77 spl0_113),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1413])).
% 3.18/0.77 fof(f1415,plain,(
% 3.18/0.77 spl0_115 <=> upper_bounded_semilattstr(sk0_10)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1418,plain,(
% 3.18/0.77 ~latt_str(sk0_10)|empty_carrier(sk0_10)|upper_bounded_semilattstr(sk0_10)),
% 3.18/0.77 inference(resolution,[status(thm)],[f468,f178])).
% 3.18/0.77 fof(f1419,plain,(
% 3.18/0.77 ~spl0_88|spl0_90|spl0_115),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1418,f1268,f1278,f1415])).
% 3.18/0.77 fof(f1422,plain,(
% 3.18/0.77 join_semilatt_str(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f471,f251])).
% 3.18/0.77 fof(f1424,plain,(
% 3.18/0.77 spl0_116 <=> latt_str(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1426,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|spl0_116),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1424])).
% 3.18/0.77 fof(f1427,plain,(
% 3.18/0.77 spl0_117 <=> sk0_11=latt_str_of(the_carrier(sk0_11),the_L_join(sk0_11),the_L_meet(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1430,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|sk0_11=latt_str_of(the_carrier(sk0_11),the_L_join(sk0_11),the_L_meet(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f473,f126])).
% 3.18/0.77 fof(f1431,plain,(
% 3.18/0.77 ~spl0_116|spl0_117),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1430,f1424,f1427])).
% 3.18/0.77 fof(f1432,plain,(
% 3.18/0.77 $false|spl0_116),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1426,f471])).
% 3.18/0.77 fof(f1433,plain,(
% 3.18/0.77 spl0_116),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1432])).
% 3.18/0.77 fof(f1434,plain,(
% 3.18/0.77 spl0_118 <=> empty_carrier(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1435,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~spl0_118),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1434])).
% 3.18/0.77 fof(f1437,plain,(
% 3.18/0.77 spl0_119 <=> join_commutative(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1439,plain,(
% 3.18/0.77 ~join_commutative(sk0_11)|spl0_119),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1437])).
% 3.18/0.77 fof(f1440,plain,(
% 3.18/0.77 spl0_120 <=> join_associative(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1442,plain,(
% 3.18/0.77 ~join_associative(sk0_11)|spl0_120),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1440])).
% 3.18/0.77 fof(f1443,plain,(
% 3.18/0.77 spl0_121 <=> meet_commutative(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1445,plain,(
% 3.18/0.77 ~meet_commutative(sk0_11)|spl0_121),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1443])).
% 3.18/0.77 fof(f1446,plain,(
% 3.18/0.77 spl0_122 <=> meet_associative(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1448,plain,(
% 3.18/0.77 ~meet_associative(sk0_11)|spl0_122),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1446])).
% 3.18/0.77 fof(f1449,plain,(
% 3.18/0.77 spl0_123 <=> meet_absorbing(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1451,plain,(
% 3.18/0.77 ~meet_absorbing(sk0_11)|spl0_123),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1449])).
% 3.18/0.77 fof(f1452,plain,(
% 3.18/0.77 spl0_124 <=> lattice(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1455,plain,(
% 3.18/0.77 ~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)),
% 3.18/0.77 inference(resolution,[status(thm)],[f479,f162])).
% 3.18/0.77 fof(f1456,plain,(
% 3.18/0.77 ~spl0_116|spl0_118|~spl0_119|~spl0_120|~spl0_121|~spl0_122|~spl0_123|spl0_124),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1455,f1424,f1434,f1437,f1440,f1443,f1446,f1449,f1452])).
% 3.18/0.77 fof(f1457,plain,(
% 3.18/0.77 $false|spl0_123),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1451,f478])).
% 3.18/0.77 fof(f1458,plain,(
% 3.18/0.77 spl0_123),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1457])).
% 3.18/0.77 fof(f1459,plain,(
% 3.18/0.77 $false|spl0_122),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1448,f477])).
% 3.18/0.77 fof(f1460,plain,(
% 3.18/0.77 spl0_122),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1459])).
% 3.18/0.77 fof(f1461,plain,(
% 3.18/0.77 $false|spl0_121),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1445,f476])).
% 3.18/0.77 fof(f1462,plain,(
% 3.18/0.77 spl0_121),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1461])).
% 3.18/0.77 fof(f1463,plain,(
% 3.18/0.77 $false|spl0_120),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1442,f475])).
% 3.18/0.77 fof(f1464,plain,(
% 3.18/0.77 spl0_120),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1463])).
% 3.18/0.77 fof(f1465,plain,(
% 3.18/0.77 $false|spl0_119),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1439,f474])).
% 3.18/0.77 fof(f1466,plain,(
% 3.18/0.77 spl0_119),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1465])).
% 3.18/0.77 fof(f1467,plain,(
% 3.18/0.77 $false|~spl0_118),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1435,f472])).
% 3.18/0.77 fof(f1468,plain,(
% 3.18/0.77 ~spl0_118),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1467])).
% 3.18/0.77 fof(f1469,plain,(
% 3.18/0.77 spl0_125 <=> relation_of2_as_subset(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1472,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|relation_of2_as_subset(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f229])).
% 3.18/0.77 fof(f1473,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_125),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1472,f1434,f1424,f1469])).
% 3.18/0.77 fof(f1474,plain,(
% 3.18/0.77 spl0_126 <=> v1_partfun1(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1477,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|v1_partfun1(k2_lattice3(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f228])).
% 3.18/0.77 fof(f1478,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_126),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1477,f1434,f1424,f1474])).
% 3.18/0.77 fof(f1479,plain,(
% 3.18/0.77 spl0_127 <=> poset_of_lattice(sk0_11)=rel_str_of(the_carrier(sk0_11),k2_lattice3(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1482,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|poset_of_lattice(sk0_11)=rel_str_of(the_carrier(sk0_11),k2_lattice3(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f206])).
% 3.18/0.77 fof(f1483,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_127),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1482,f1434,f1424,f1479])).
% 3.18/0.77 fof(f1484,plain,(
% 3.18/0.77 spl0_128 <=> k2_lattice3(sk0_11)=relation_of_lattice(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1487,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|k2_lattice3(sk0_11)=relation_of_lattice(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f579])).
% 3.18/0.77 fof(f1488,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_128),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1487,f1434,f1424,f1484])).
% 3.18/0.77 fof(f1489,plain,(
% 3.18/0.77 spl0_129 <=> with_infima_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1492,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|with_infima_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f319])).
% 3.18/0.77 fof(f1493,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_129),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1492,f1434,f1424,f1489])).
% 3.18/0.77 fof(f1494,plain,(
% 3.18/0.77 spl0_130 <=> with_suprema_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1497,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|with_suprema_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f318])).
% 3.18/0.77 fof(f1498,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_130),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1497,f1434,f1424,f1494])).
% 3.18/0.77 fof(f1499,plain,(
% 3.18/0.77 spl0_131 <=> relation(relation_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1502,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|relation(relation_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f242])).
% 3.18/0.77 fof(f1503,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_131),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1502,f1434,f1424,f1499])).
% 3.18/0.77 fof(f1504,plain,(
% 3.18/0.77 spl0_132 <=> rel_str(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1505,plain,(
% 3.18/0.77 rel_str(poset_of_lattice(sk0_11))|~spl0_132),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1504])).
% 3.18/0.77 fof(f1507,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|rel_str(poset_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f235])).
% 3.18/0.77 fof(f1508,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_132),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1507,f1434,f1424,f1504])).
% 3.18/0.77 fof(f1509,plain,(
% 3.18/0.77 spl0_133 <=> antisymmetric_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1510,plain,(
% 3.18/0.77 antisymmetric_relstr(poset_of_lattice(sk0_11))|~spl0_133),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1509])).
% 3.18/0.77 fof(f1512,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|antisymmetric_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f234])).
% 3.18/0.77 fof(f1513,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_133),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1512,f1434,f1424,f1509])).
% 3.18/0.77 fof(f1514,plain,(
% 3.18/0.77 spl0_134 <=> transitive_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1517,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|transitive_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f233])).
% 3.18/0.77 fof(f1518,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_134),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1517,f1434,f1424,f1514])).
% 3.18/0.77 fof(f1519,plain,(
% 3.18/0.77 spl0_135 <=> reflexive_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1520,plain,(
% 3.18/0.77 reflexive_relstr(poset_of_lattice(sk0_11))|~spl0_135),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1519])).
% 3.18/0.77 fof(f1522,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|reflexive_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f232])).
% 3.18/0.77 fof(f1523,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_135),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1522,f1434,f1424,f1519])).
% 3.18/0.77 fof(f1524,plain,(
% 3.18/0.77 spl0_136 <=> strict_rel_str(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1525,plain,(
% 3.18/0.77 strict_rel_str(poset_of_lattice(sk0_11))|~spl0_136),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1524])).
% 3.18/0.77 fof(f1527,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|strict_rel_str(poset_of_lattice(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f231])).
% 3.18/0.77 fof(f1528,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_136),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1527,f1434,f1424,f1524])).
% 3.18/0.77 fof(f1529,plain,(
% 3.18/0.77 spl0_137 <=> transitive(k2_lattice3(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1532,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|transitive(k2_lattice3(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f227])).
% 3.18/0.77 fof(f1533,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_137),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1532,f1434,f1424,f1529])).
% 3.18/0.77 fof(f1534,plain,(
% 3.18/0.77 spl0_138 <=> antisymmetric(k2_lattice3(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1537,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|antisymmetric(k2_lattice3(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f226])).
% 3.18/0.77 fof(f1538,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_138),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1537,f1434,f1424,f1534])).
% 3.18/0.77 fof(f1539,plain,(
% 3.18/0.77 spl0_139 <=> reflexive(k2_lattice3(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1542,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~latt_str(sk0_11)|reflexive(k2_lattice3(sk0_11))),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f225])).
% 3.18/0.77 fof(f1543,plain,(
% 3.18/0.77 spl0_118|~spl0_116|spl0_139),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1542,f1434,f1424,f1539])).
% 3.18/0.77 fof(f1544,plain,(
% 3.18/0.77 spl0_140 <=> join_absorbing(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1547,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|empty_carrier(sk0_11)|join_absorbing(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f480,f150])).
% 3.18/0.77 fof(f1548,plain,(
% 3.18/0.77 ~spl0_116|spl0_118|spl0_140),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1547,f1424,f1434,f1544])).
% 3.18/0.77 fof(f1560,plain,(
% 3.18/0.77 one_sorted_str(poset_of_lattice(sk0_11))|~spl0_132),
% 3.18/0.77 inference(resolution,[status(thm)],[f1505,f246])).
% 3.18/0.77 fof(f1561,plain,(
% 3.18/0.77 spl0_141 <=> lower_bounded_semilattstr(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1563,plain,(
% 3.18/0.77 ~lower_bounded_semilattstr(sk0_11)|spl0_141),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1561])).
% 3.18/0.77 fof(f1564,plain,(
% 3.18/0.77 spl0_142 <=> bounded_lattstr(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1569,plain,(
% 3.18/0.77 $false|spl0_141),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1563,f482])).
% 3.18/0.77 fof(f1570,plain,(
% 3.18/0.77 spl0_141),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1569])).
% 3.18/0.77 fof(f1579,plain,(
% 3.18/0.77 spl0_145 <=> upper_bounded_semilattstr(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1582,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|empty_carrier(sk0_11)|upper_bounded_semilattstr(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f484,f178])).
% 3.18/0.77 fof(f1583,plain,(
% 3.18/0.77 ~spl0_116|spl0_118|spl0_145),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1582,f1424,f1434,f1579])).
% 3.18/0.77 fof(f1586,plain,(
% 3.18/0.77 spl0_146 <=> distributive_lattstr(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1588,plain,(
% 3.18/0.77 ~distributive_lattstr(sk0_11)|spl0_146),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1586])).
% 3.18/0.77 fof(f1589,plain,(
% 3.18/0.77 spl0_147 <=> boolean_lattstr(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1592,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|empty_carrier(sk0_11)|~distributive_lattstr(sk0_11)|~bounded_lattstr(sk0_11)|boolean_lattstr(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f485,f193])).
% 3.18/0.77 fof(f1593,plain,(
% 3.18/0.77 ~spl0_116|spl0_118|~spl0_146|~spl0_142|spl0_147),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1592,f1424,f1434,f1586,f1564,f1589])).
% 3.18/0.77 fof(f1594,plain,(
% 3.18/0.77 $false|spl0_146),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1588,f481])).
% 3.18/0.77 fof(f1595,plain,(
% 3.18/0.77 spl0_146),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1594])).
% 3.18/0.77 fof(f1596,plain,(
% 3.18/0.77 spl0_148 <=> complemented_lattstr(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1599,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|empty_carrier(sk0_11)|complemented_lattstr(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f486,f188])).
% 3.18/0.77 fof(f1600,plain,(
% 3.18/0.77 ~spl0_116|spl0_118|spl0_148),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1599,f1424,f1434,f1596])).
% 3.18/0.77 fof(f1601,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|empty_carrier(sk0_11)|bounded_lattstr(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f486,f187])).
% 3.18/0.77 fof(f1602,plain,(
% 3.18/0.77 ~spl0_116|spl0_118|spl0_142),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1601,f1424,f1434,f1564])).
% 3.18/0.77 fof(f1609,plain,(
% 3.18/0.77 spl0_149 <=> rel_str(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1611,plain,(
% 3.18/0.77 ~rel_str(sk0_12)|spl0_149),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1609])).
% 3.18/0.77 fof(f1612,plain,(
% 3.18/0.77 spl0_150 <=> sk0_12=rel_str_of(the_carrier(sk0_12),the_InternalRel(sk0_12))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1615,plain,(
% 3.18/0.77 ~rel_str(sk0_12)|sk0_12=rel_str_of(the_carrier(sk0_12),the_InternalRel(sk0_12))),
% 3.18/0.77 inference(resolution,[status(thm)],[f490,f124])).
% 3.18/0.77 fof(f1616,plain,(
% 3.18/0.77 ~spl0_149|spl0_150),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1615,f1609,f1612])).
% 3.18/0.77 fof(f1617,plain,(
% 3.18/0.77 $false|spl0_149),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1611,f488])).
% 3.18/0.77 fof(f1618,plain,(
% 3.18/0.77 spl0_149),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1617])).
% 3.18/0.77 fof(f1619,plain,(
% 3.18/0.77 spl0_151 <=> empty_carrier(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1620,plain,(
% 3.18/0.77 empty_carrier(sk0_12)|~spl0_151),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1619])).
% 3.18/0.77 fof(f1622,plain,(
% 3.18/0.77 spl0_152 <=> bounded_relstr(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1623,plain,(
% 3.18/0.77 bounded_relstr(sk0_12)|~spl0_152),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1622])).
% 3.18/0.77 fof(f1625,plain,(
% 3.18/0.77 ~rel_str(sk0_12)|empty_carrier(sk0_12)|bounded_relstr(sk0_12)),
% 3.18/0.77 inference(resolution,[status(thm)],[f494,f174])).
% 3.18/0.77 fof(f1626,plain,(
% 3.18/0.77 ~spl0_149|spl0_151|spl0_152),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1625,f1609,f1619,f1622])).
% 3.18/0.77 fof(f1627,plain,(
% 3.18/0.77 spl0_153 <=> with_infima_relstr(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1630,plain,(
% 3.18/0.77 ~rel_str(sk0_12)|empty_carrier(sk0_12)|with_infima_relstr(sk0_12)),
% 3.18/0.77 inference(resolution,[status(thm)],[f494,f157])).
% 3.18/0.77 fof(f1631,plain,(
% 3.18/0.77 ~spl0_149|spl0_151|spl0_153),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1630,f1609,f1619,f1627])).
% 3.18/0.77 fof(f1632,plain,(
% 3.18/0.77 spl0_154 <=> with_suprema_relstr(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1635,plain,(
% 3.18/0.77 ~rel_str(sk0_12)|empty_carrier(sk0_12)|with_suprema_relstr(sk0_12)),
% 3.18/0.77 inference(resolution,[status(thm)],[f494,f156])).
% 3.18/0.77 fof(f1636,plain,(
% 3.18/0.77 ~spl0_149|spl0_151|spl0_154),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1635,f1609,f1619,f1632])).
% 3.18/0.77 fof(f1637,plain,(
% 3.18/0.77 $false|~spl0_151),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1620,f489])).
% 3.18/0.77 fof(f1638,plain,(
% 3.18/0.77 ~spl0_151),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1637])).
% 3.18/0.77 fof(f1639,plain,(
% 3.18/0.77 spl0_155 <=> rel_str(sk0_13)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1641,plain,(
% 3.18/0.77 ~rel_str(sk0_13)|spl0_155),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1639])).
% 3.18/0.77 fof(f1642,plain,(
% 3.18/0.77 spl0_156 <=> sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1645,plain,(
% 3.18/0.77 ~rel_str(sk0_13)|sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 3.18/0.77 inference(resolution,[status(thm)],[f497,f124])).
% 3.18/0.77 fof(f1646,plain,(
% 3.18/0.77 ~spl0_155|spl0_156),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1645,f1639,f1642])).
% 3.18/0.77 fof(f1647,plain,(
% 3.18/0.77 $false|spl0_155),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1641,f496])).
% 3.18/0.77 fof(f1648,plain,(
% 3.18/0.77 spl0_155),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1647])).
% 3.18/0.77 fof(f1652,plain,(
% 3.18/0.77 spl0_157 <=> rel_str(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1654,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|spl0_157),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1652])).
% 3.18/0.77 fof(f1655,plain,(
% 3.18/0.77 spl0_158 <=> sk0_16=rel_str_of(the_carrier(sk0_16),the_InternalRel(sk0_16))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1658,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|sk0_16=rel_str_of(the_carrier(sk0_16),the_InternalRel(sk0_16))),
% 3.18/0.77 inference(resolution,[status(thm)],[f507,f124])).
% 3.18/0.77 fof(f1659,plain,(
% 3.18/0.77 ~spl0_157|spl0_158),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1658,f1652,f1655])).
% 3.18/0.77 fof(f1660,plain,(
% 3.18/0.77 $false|spl0_157),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1654,f505])).
% 3.18/0.77 fof(f1661,plain,(
% 3.18/0.77 spl0_157),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1660])).
% 3.18/0.77 fof(f1662,plain,(
% 3.18/0.77 spl0_159 <=> empty_carrier(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1665,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|~empty_carrier(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f511,f142])).
% 3.18/0.77 fof(f1666,plain,(
% 3.18/0.77 ~spl0_157|~spl0_159),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1665,f1652,f1662])).
% 3.18/0.77 fof(f1669,plain,(
% 3.18/0.77 spl0_160 <=> bounded_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1670,plain,(
% 3.18/0.77 bounded_relstr(sk0_16)|~spl0_160),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1669])).
% 3.18/0.77 fof(f1672,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|empty_carrier(sk0_16)|bounded_relstr(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f513,f174])).
% 3.18/0.77 fof(f1673,plain,(
% 3.18/0.77 ~spl0_157|spl0_159|spl0_160),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1672,f1652,f1662,f1669])).
% 3.18/0.77 fof(f1674,plain,(
% 3.18/0.77 spl0_161 <=> with_infima_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1677,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|empty_carrier(sk0_16)|with_infima_relstr(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f513,f157])).
% 3.18/0.77 fof(f1678,plain,(
% 3.18/0.77 ~spl0_157|spl0_159|spl0_161),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1677,f1652,f1662,f1674])).
% 3.18/0.77 fof(f1679,plain,(
% 3.18/0.77 spl0_162 <=> with_suprema_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1682,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|empty_carrier(sk0_16)|with_suprema_relstr(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f513,f156])).
% 3.18/0.77 fof(f1683,plain,(
% 3.18/0.77 ~spl0_157|spl0_159|spl0_162),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1682,f1652,f1662,f1679])).
% 3.18/0.77 fof(f1684,plain,(
% 3.18/0.77 spl0_163 <=> reflexive_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1686,plain,(
% 3.18/0.77 ~reflexive_relstr(sk0_16)|spl0_163),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1684])).
% 3.18/0.77 fof(f1687,plain,(
% 3.18/0.77 spl0_164 <=> complete_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1690,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|empty_carrier(sk0_16)|~reflexive_relstr(sk0_16)|complete_relstr(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f514,f168])).
% 3.18/0.77 fof(f1691,plain,(
% 3.18/0.77 ~spl0_157|spl0_159|~spl0_163|spl0_164),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1690,f1652,f1662,f1684,f1687])).
% 3.18/0.77 fof(f1692,plain,(
% 3.18/0.77 spl0_165 <=> antisymmetric_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1695,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|empty_carrier(sk0_16)|~reflexive_relstr(sk0_16)|antisymmetric_relstr(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f514,f167])).
% 3.18/0.77 fof(f1696,plain,(
% 3.18/0.77 ~spl0_157|spl0_159|~spl0_163|spl0_165),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1695,f1652,f1662,f1684,f1692])).
% 3.18/0.77 fof(f1697,plain,(
% 3.18/0.77 spl0_166 <=> transitive_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1700,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|empty_carrier(sk0_16)|~reflexive_relstr(sk0_16)|transitive_relstr(sk0_16)),
% 3.18/0.77 inference(resolution,[status(thm)],[f514,f166])).
% 3.18/0.77 fof(f1701,plain,(
% 3.18/0.77 ~spl0_157|spl0_159|~spl0_163|spl0_166),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1700,f1652,f1662,f1684,f1697])).
% 3.18/0.77 fof(f1702,plain,(
% 3.18/0.77 $false|spl0_163),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1686,f508])).
% 3.18/0.77 fof(f1703,plain,(
% 3.18/0.77 spl0_163),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1702])).
% 3.18/0.77 fof(f1704,plain,(
% 3.18/0.77 spl0_167 <=> rel_str(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1706,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|spl0_167),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1704])).
% 3.18/0.77 fof(f1707,plain,(
% 3.18/0.77 spl0_168 <=> sk0_17=rel_str_of(the_carrier(sk0_17),the_InternalRel(sk0_17))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1710,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|sk0_17=rel_str_of(the_carrier(sk0_17),the_InternalRel(sk0_17))),
% 3.18/0.77 inference(resolution,[status(thm)],[f518,f124])).
% 3.18/0.77 fof(f1711,plain,(
% 3.18/0.77 ~spl0_167|spl0_168),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1710,f1704,f1707])).
% 3.18/0.77 fof(f1712,plain,(
% 3.18/0.77 $false|spl0_167),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1706,f516])).
% 3.18/0.77 fof(f1713,plain,(
% 3.18/0.77 spl0_167),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1712])).
% 3.18/0.77 fof(f1714,plain,(
% 3.18/0.77 spl0_169 <=> empty_carrier(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1717,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|~empty_carrier(sk0_17)),
% 3.18/0.77 inference(resolution,[status(thm)],[f522,f142])).
% 3.18/0.77 fof(f1718,plain,(
% 3.18/0.77 ~spl0_167|~spl0_169),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1717,f1704,f1714])).
% 3.18/0.77 fof(f1721,plain,(
% 3.18/0.77 spl0_170 <=> bounded_relstr(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1722,plain,(
% 3.18/0.77 bounded_relstr(sk0_17)|~spl0_170),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1721])).
% 3.18/0.77 fof(f1724,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|empty_carrier(sk0_17)|bounded_relstr(sk0_17)),
% 3.18/0.77 inference(resolution,[status(thm)],[f524,f174])).
% 3.18/0.77 fof(f1725,plain,(
% 3.18/0.77 ~spl0_167|spl0_169|spl0_170),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1724,f1704,f1714,f1721])).
% 3.18/0.77 fof(f1726,plain,(
% 3.18/0.77 spl0_171 <=> with_infima_relstr(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1729,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|empty_carrier(sk0_17)|with_infima_relstr(sk0_17)),
% 3.18/0.77 inference(resolution,[status(thm)],[f524,f157])).
% 3.18/0.77 fof(f1730,plain,(
% 3.18/0.77 ~spl0_167|spl0_169|spl0_171),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1729,f1704,f1714,f1726])).
% 3.18/0.77 fof(f1731,plain,(
% 3.18/0.77 spl0_172 <=> with_suprema_relstr(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1734,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|empty_carrier(sk0_17)|with_suprema_relstr(sk0_17)),
% 3.18/0.77 inference(resolution,[status(thm)],[f524,f156])).
% 3.18/0.77 fof(f1735,plain,(
% 3.18/0.77 ~spl0_167|spl0_169|spl0_172),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1734,f1704,f1714,f1731])).
% 3.18/0.77 fof(f1736,plain,(
% 3.18/0.77 spl0_173 <=> rel_str(sk0_18)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1738,plain,(
% 3.18/0.77 ~rel_str(sk0_18)|spl0_173),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1736])).
% 3.18/0.77 fof(f1739,plain,(
% 3.18/0.77 spl0_174 <=> sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1742,plain,(
% 3.18/0.77 ~rel_str(sk0_18)|sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 3.18/0.77 inference(resolution,[status(thm)],[f528,f124])).
% 3.18/0.77 fof(f1743,plain,(
% 3.18/0.77 ~spl0_173|spl0_174),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1742,f1736,f1739])).
% 3.18/0.77 fof(f1744,plain,(
% 3.18/0.77 $false|spl0_173),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1738,f526])).
% 3.18/0.77 fof(f1745,plain,(
% 3.18/0.77 spl0_173),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1744])).
% 3.18/0.77 fof(f1746,plain,(
% 3.18/0.77 spl0_175 <=> rel_str(sk0_22)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1748,plain,(
% 3.18/0.77 ~rel_str(sk0_22)|spl0_175),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1746])).
% 3.18/0.77 fof(f1749,plain,(
% 3.18/0.77 spl0_176 <=> empty_carrier(sk0_22)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1752,plain,(
% 3.18/0.77 ~rel_str(sk0_22)|~empty_carrier(sk0_22)),
% 3.18/0.77 inference(resolution,[status(thm)],[f547,f142])).
% 3.18/0.77 fof(f1753,plain,(
% 3.18/0.77 ~spl0_175|~spl0_176),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1752,f1746,f1749])).
% 3.18/0.77 fof(f1754,plain,(
% 3.18/0.77 $false|spl0_175),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1748,f542])).
% 3.18/0.77 fof(f1755,plain,(
% 3.18/0.77 spl0_175),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1754])).
% 3.18/0.77 fof(f1758,plain,(
% 3.18/0.77 spl0_177 <=> bounded_relstr(sk0_22)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1761,plain,(
% 3.18/0.77 ~rel_str(sk0_22)|empty_carrier(sk0_22)|bounded_relstr(sk0_22)),
% 3.18/0.77 inference(resolution,[status(thm)],[f549,f174])).
% 3.18/0.77 fof(f1762,plain,(
% 3.18/0.77 ~spl0_175|spl0_176|spl0_177),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1761,f1746,f1749,f1758])).
% 3.18/0.77 fof(f1763,plain,(
% 3.18/0.77 spl0_178 <=> with_infima_relstr(sk0_22)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1766,plain,(
% 3.18/0.77 ~rel_str(sk0_22)|empty_carrier(sk0_22)|with_infima_relstr(sk0_22)),
% 3.18/0.77 inference(resolution,[status(thm)],[f549,f157])).
% 3.18/0.77 fof(f1767,plain,(
% 3.18/0.77 ~spl0_175|spl0_176|spl0_178),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1766,f1746,f1749,f1763])).
% 3.18/0.77 fof(f1768,plain,(
% 3.18/0.77 spl0_179 <=> with_suprema_relstr(sk0_22)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1771,plain,(
% 3.18/0.77 ~rel_str(sk0_22)|empty_carrier(sk0_22)|with_suprema_relstr(sk0_22)),
% 3.18/0.77 inference(resolution,[status(thm)],[f549,f156])).
% 3.18/0.77 fof(f1772,plain,(
% 3.18/0.77 ~spl0_175|spl0_176|spl0_179),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1771,f1746,f1749,f1768])).
% 3.18/0.77 fof(f1773,plain,(
% 3.18/0.77 spl0_180 <=> lower_bounded_relstr(sk0_22)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1775,plain,(
% 3.18/0.77 ~lower_bounded_relstr(sk0_22)|spl0_180),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1773])).
% 3.18/0.77 fof(f1778,plain,(
% 3.18/0.77 $false|spl0_180),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1775,f550])).
% 3.18/0.77 fof(f1779,plain,(
% 3.18/0.77 spl0_180),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1778])).
% 3.18/0.77 fof(f1780,plain,(
% 3.18/0.77 spl0_181 <=> upper_bounded_relstr(sk0_22)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1783,plain,(
% 3.18/0.77 ~rel_str(sk0_22)|upper_bounded_relstr(sk0_22)),
% 3.18/0.77 inference(resolution,[status(thm)],[f552,f181])).
% 3.18/0.77 fof(f1784,plain,(
% 3.18/0.77 ~spl0_175|spl0_181),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1783,f1746,f1780])).
% 3.18/0.77 fof(f1789,plain,(
% 3.18/0.77 spl0_182 <=> latt_str(sk0_23)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1791,plain,(
% 3.18/0.77 ~latt_str(sk0_23)|spl0_182),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1789])).
% 3.18/0.77 fof(f1792,plain,(
% 3.18/0.77 spl0_183 <=> sk0_23=latt_str_of(the_carrier(sk0_23),the_L_join(sk0_23),the_L_meet(sk0_23))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1795,plain,(
% 3.18/0.77 ~latt_str(sk0_23)|sk0_23=latt_str_of(the_carrier(sk0_23),the_L_join(sk0_23),the_L_meet(sk0_23))),
% 3.18/0.77 inference(resolution,[status(thm)],[f555,f126])).
% 3.18/0.77 fof(f1796,plain,(
% 3.18/0.77 ~spl0_182|spl0_183),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1795,f1789,f1792])).
% 3.18/0.77 fof(f1797,plain,(
% 3.18/0.77 $false|spl0_182),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1791,f554])).
% 3.18/0.77 fof(f1798,plain,(
% 3.18/0.77 spl0_182),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1797])).
% 3.18/0.77 fof(f1799,plain,(
% 3.18/0.77 join_semilatt_str(sk0_26)),
% 3.18/0.77 inference(resolution,[status(thm)],[f564,f251])).
% 3.18/0.77 fof(f1801,plain,(
% 3.18/0.77 spl0_184 <=> latt_str(sk0_26)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1803,plain,(
% 3.18/0.77 ~latt_str(sk0_26)|spl0_184),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1801])).
% 3.18/0.77 fof(f1804,plain,(
% 3.18/0.77 spl0_185 <=> sk0_26=latt_str_of(the_carrier(sk0_26),the_L_join(sk0_26),the_L_meet(sk0_26))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1807,plain,(
% 3.18/0.77 ~latt_str(sk0_26)|sk0_26=latt_str_of(the_carrier(sk0_26),the_L_join(sk0_26),the_L_meet(sk0_26))),
% 3.18/0.77 inference(resolution,[status(thm)],[f566,f126])).
% 3.18/0.77 fof(f1808,plain,(
% 3.18/0.77 ~spl0_184|spl0_185),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1807,f1801,f1804])).
% 3.18/0.77 fof(f1809,plain,(
% 3.18/0.77 $false|spl0_184),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1803,f564])).
% 3.18/0.77 fof(f1810,plain,(
% 3.18/0.77 spl0_184),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1809])).
% 3.18/0.77 fof(f1811,plain,(
% 3.18/0.77 join_semilatt_str(sk0_27)),
% 3.18/0.77 inference(resolution,[status(thm)],[f568,f251])).
% 3.18/0.77 fof(f1813,plain,(
% 3.18/0.77 spl0_186 <=> latt_str(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1815,plain,(
% 3.18/0.77 ~latt_str(sk0_27)|spl0_186),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1813])).
% 3.18/0.77 fof(f1816,plain,(
% 3.18/0.77 spl0_187 <=> sk0_27=latt_str_of(the_carrier(sk0_27),the_L_join(sk0_27),the_L_meet(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1819,plain,(
% 3.18/0.77 ~latt_str(sk0_27)|sk0_27=latt_str_of(the_carrier(sk0_27),the_L_join(sk0_27),the_L_meet(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f570,f126])).
% 3.18/0.77 fof(f1820,plain,(
% 3.18/0.77 ~spl0_186|spl0_187),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1819,f1813,f1816])).
% 3.18/0.77 fof(f1821,plain,(
% 3.18/0.77 $false|spl0_186),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1815,f568])).
% 3.18/0.77 fof(f1822,plain,(
% 3.18/0.77 spl0_186),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1821])).
% 3.18/0.77 fof(f1823,plain,(
% 3.18/0.77 spl0_188 <=> empty_carrier(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1824,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~spl0_188),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1823])).
% 3.18/0.77 fof(f1826,plain,(
% 3.18/0.77 spl0_189 <=> join_commutative(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1828,plain,(
% 3.18/0.77 ~join_commutative(sk0_27)|spl0_189),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1826])).
% 3.18/0.77 fof(f1829,plain,(
% 3.18/0.77 spl0_190 <=> join_associative(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1831,plain,(
% 3.18/0.77 ~join_associative(sk0_27)|spl0_190),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1829])).
% 3.18/0.77 fof(f1832,plain,(
% 3.18/0.77 spl0_191 <=> meet_commutative(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1834,plain,(
% 3.18/0.77 ~meet_commutative(sk0_27)|spl0_191),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1832])).
% 3.18/0.77 fof(f1835,plain,(
% 3.18/0.77 spl0_192 <=> meet_associative(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1837,plain,(
% 3.18/0.77 ~meet_associative(sk0_27)|spl0_192),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1835])).
% 3.18/0.77 fof(f1838,plain,(
% 3.18/0.77 spl0_193 <=> meet_absorbing(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1840,plain,(
% 3.18/0.77 ~meet_absorbing(sk0_27)|spl0_193),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1838])).
% 3.18/0.77 fof(f1841,plain,(
% 3.18/0.77 spl0_194 <=> lattice(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1844,plain,(
% 3.18/0.77 ~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)),
% 3.18/0.77 inference(resolution,[status(thm)],[f576,f162])).
% 3.18/0.77 fof(f1845,plain,(
% 3.18/0.77 ~spl0_186|spl0_188|~spl0_189|~spl0_190|~spl0_191|~spl0_192|~spl0_193|spl0_194),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1844,f1813,f1823,f1826,f1829,f1832,f1835,f1838,f1841])).
% 3.18/0.77 fof(f1846,plain,(
% 3.18/0.77 $false|spl0_193),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1840,f575])).
% 3.18/0.77 fof(f1847,plain,(
% 3.18/0.77 spl0_193),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1846])).
% 3.18/0.77 fof(f1848,plain,(
% 3.18/0.77 $false|spl0_192),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1837,f574])).
% 3.18/0.77 fof(f1849,plain,(
% 3.18/0.77 spl0_192),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1848])).
% 3.18/0.77 fof(f1850,plain,(
% 3.18/0.77 $false|spl0_191),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1834,f573])).
% 3.18/0.77 fof(f1851,plain,(
% 3.18/0.77 spl0_191),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1850])).
% 3.18/0.77 fof(f1852,plain,(
% 3.18/0.77 $false|spl0_190),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1831,f572])).
% 3.18/0.77 fof(f1853,plain,(
% 3.18/0.77 spl0_190),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1852])).
% 3.18/0.77 fof(f1854,plain,(
% 3.18/0.77 $false|spl0_189),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1828,f571])).
% 3.18/0.77 fof(f1855,plain,(
% 3.18/0.77 spl0_189),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1854])).
% 3.18/0.77 fof(f1856,plain,(
% 3.18/0.77 $false|~spl0_188),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1824,f569])).
% 3.18/0.77 fof(f1857,plain,(
% 3.18/0.77 ~spl0_188),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f1856])).
% 3.18/0.77 fof(f1858,plain,(
% 3.18/0.77 spl0_195 <=> relation_of2_as_subset(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1861,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|relation_of2_as_subset(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f229])).
% 3.18/0.77 fof(f1862,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_195),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1861,f1823,f1813,f1858])).
% 3.18/0.77 fof(f1863,plain,(
% 3.18/0.77 spl0_196 <=> v1_partfun1(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1866,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|v1_partfun1(k2_lattice3(sk0_27),the_carrier(sk0_27),the_carrier(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f228])).
% 3.18/0.77 fof(f1867,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_196),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1866,f1823,f1813,f1863])).
% 3.18/0.77 fof(f1868,plain,(
% 3.18/0.77 spl0_197 <=> poset_of_lattice(sk0_27)=rel_str_of(the_carrier(sk0_27),k2_lattice3(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1871,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|poset_of_lattice(sk0_27)=rel_str_of(the_carrier(sk0_27),k2_lattice3(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f206])).
% 3.18/0.77 fof(f1872,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_197),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1871,f1823,f1813,f1868])).
% 3.18/0.77 fof(f1873,plain,(
% 3.18/0.77 spl0_198 <=> k2_lattice3(sk0_27)=relation_of_lattice(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1876,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|k2_lattice3(sk0_27)=relation_of_lattice(sk0_27)),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f579])).
% 3.18/0.77 fof(f1877,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_198),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1876,f1823,f1813,f1873])).
% 3.18/0.77 fof(f1878,plain,(
% 3.18/0.77 spl0_199 <=> with_infima_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1881,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|with_infima_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f319])).
% 3.18/0.77 fof(f1882,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_199),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1881,f1823,f1813,f1878])).
% 3.18/0.77 fof(f1883,plain,(
% 3.18/0.77 spl0_200 <=> with_suprema_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1886,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|with_suprema_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f318])).
% 3.18/0.77 fof(f1887,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_200),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1886,f1823,f1813,f1883])).
% 3.18/0.77 fof(f1888,plain,(
% 3.18/0.77 spl0_201 <=> relation(relation_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1891,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|relation(relation_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f242])).
% 3.18/0.77 fof(f1892,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_201),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1891,f1823,f1813,f1888])).
% 3.18/0.77 fof(f1893,plain,(
% 3.18/0.77 spl0_202 <=> rel_str(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1894,plain,(
% 3.18/0.77 rel_str(poset_of_lattice(sk0_27))|~spl0_202),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1893])).
% 3.18/0.77 fof(f1896,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|rel_str(poset_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f235])).
% 3.18/0.77 fof(f1897,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_202),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1896,f1823,f1813,f1893])).
% 3.18/0.77 fof(f1898,plain,(
% 3.18/0.77 spl0_203 <=> antisymmetric_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1899,plain,(
% 3.18/0.77 antisymmetric_relstr(poset_of_lattice(sk0_27))|~spl0_203),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1898])).
% 3.18/0.77 fof(f1901,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|antisymmetric_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f234])).
% 3.18/0.77 fof(f1902,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_203),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1901,f1823,f1813,f1898])).
% 3.18/0.77 fof(f1903,plain,(
% 3.18/0.77 spl0_204 <=> transitive_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1906,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|transitive_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f233])).
% 3.18/0.77 fof(f1907,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_204),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1906,f1823,f1813,f1903])).
% 3.18/0.77 fof(f1908,plain,(
% 3.18/0.77 spl0_205 <=> reflexive_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1909,plain,(
% 3.18/0.77 reflexive_relstr(poset_of_lattice(sk0_27))|~spl0_205),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1908])).
% 3.18/0.77 fof(f1911,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|reflexive_relstr(poset_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f232])).
% 3.18/0.77 fof(f1912,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_205),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1911,f1823,f1813,f1908])).
% 3.18/0.77 fof(f1913,plain,(
% 3.18/0.77 spl0_206 <=> strict_rel_str(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1914,plain,(
% 3.18/0.77 strict_rel_str(poset_of_lattice(sk0_27))|~spl0_206),
% 3.18/0.77 inference(component_clause,[status(thm)],[f1913])).
% 3.18/0.77 fof(f1916,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|strict_rel_str(poset_of_lattice(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f231])).
% 3.18/0.77 fof(f1917,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_206),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1916,f1823,f1813,f1913])).
% 3.18/0.77 fof(f1918,plain,(
% 3.18/0.77 spl0_207 <=> transitive(k2_lattice3(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1921,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|transitive(k2_lattice3(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f227])).
% 3.18/0.77 fof(f1922,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_207),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1921,f1823,f1813,f1918])).
% 3.18/0.77 fof(f1923,plain,(
% 3.18/0.77 spl0_208 <=> antisymmetric(k2_lattice3(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1926,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|antisymmetric(k2_lattice3(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f226])).
% 3.18/0.77 fof(f1927,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_208),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1926,f1823,f1813,f1923])).
% 3.18/0.77 fof(f1928,plain,(
% 3.18/0.77 spl0_209 <=> reflexive(k2_lattice3(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1931,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~latt_str(sk0_27)|reflexive(k2_lattice3(sk0_27))),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f225])).
% 3.18/0.77 fof(f1932,plain,(
% 3.18/0.77 spl0_188|~spl0_186|spl0_209),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1931,f1823,f1813,f1928])).
% 3.18/0.77 fof(f1933,plain,(
% 3.18/0.77 spl0_210 <=> join_absorbing(sk0_27)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1936,plain,(
% 3.18/0.77 ~latt_str(sk0_27)|empty_carrier(sk0_27)|join_absorbing(sk0_27)),
% 3.18/0.77 inference(resolution,[status(thm)],[f577,f150])).
% 3.18/0.77 fof(f1937,plain,(
% 3.18/0.77 ~spl0_186|spl0_188|spl0_210),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1936,f1813,f1823,f1933])).
% 3.18/0.77 fof(f1949,plain,(
% 3.18/0.77 one_sorted_str(poset_of_lattice(sk0_27))|~spl0_202),
% 3.18/0.77 inference(resolution,[status(thm)],[f1894,f246])).
% 3.18/0.77 fof(f1950,plain,(
% 3.18/0.77 spl0_211 <=> modular_lattstr(sk0_11)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1953,plain,(
% 3.18/0.77 ~latt_str(sk0_11)|empty_carrier(sk0_11)|~lattice(sk0_11)|modular_lattstr(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f203,f481])).
% 3.18/0.77 fof(f1954,plain,(
% 3.18/0.77 ~spl0_116|spl0_118|~spl0_124|spl0_211),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1953,f1424,f1434,f1452,f1950])).
% 3.18/0.77 fof(f1955,plain,(
% 3.18/0.77 spl0_212 <=> modular_lattstr(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1958,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|~lattice(sk0_8)|modular_lattstr(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f203,f437])).
% 3.18/0.77 fof(f1959,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|~spl0_51|spl0_212),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1958,f886,f896,f1008,f1955])).
% 3.18/0.77 fof(f1983,plain,(
% 3.18/0.77 one_sorted_str(sk0_8)),
% 3.18/0.77 inference(resolution,[status(thm)],[f884,f248])).
% 3.18/0.77 fof(f1986,plain,(
% 3.18/0.77 spl0_213 <=> upper_bounded_semilattstr(sk0_8)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f1989,plain,(
% 3.18/0.77 ~latt_str(sk0_8)|empty_carrier(sk0_8)|upper_bounded_semilattstr(sk0_8)|~spl0_59),
% 3.18/0.77 inference(resolution,[status(thm)],[f1104,f178])).
% 3.18/0.77 fof(f1990,plain,(
% 3.18/0.77 ~spl0_27|spl0_29|spl0_213|~spl0_59),
% 3.18/0.77 inference(split_clause,[status(thm)],[f1989,f886,f896,f1986,f1103])).
% 3.18/0.77 fof(f1999,plain,(
% 3.18/0.77 one_sorted_str(sk0_9)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1110,f248])).
% 3.18/0.77 fof(f2004,plain,(
% 3.18/0.77 one_sorted_str(sk0_10)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1266,f248])).
% 3.18/0.77 fof(f2009,plain,(
% 3.18/0.77 one_sorted_str(sk0_11)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1422,f248])).
% 3.18/0.77 fof(f2014,plain,(
% 3.18/0.77 spl0_214 <=> upper_bounded_relstr(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2017,plain,(
% 3.18/0.77 ~rel_str(sk0_12)|upper_bounded_relstr(sk0_12)|~spl0_152),
% 3.18/0.77 inference(resolution,[status(thm)],[f1623,f181])).
% 3.18/0.77 fof(f2018,plain,(
% 3.18/0.77 ~spl0_149|spl0_214|~spl0_152),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2017,f1609,f2014,f1622])).
% 3.18/0.77 fof(f2019,plain,(
% 3.18/0.77 spl0_215 <=> lower_bounded_relstr(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2022,plain,(
% 3.18/0.77 ~rel_str(sk0_12)|lower_bounded_relstr(sk0_12)|~spl0_152),
% 3.18/0.77 inference(resolution,[status(thm)],[f1623,f180])).
% 3.18/0.77 fof(f2023,plain,(
% 3.18/0.77 ~spl0_149|spl0_215|~spl0_152),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2022,f1609,f2019,f1622])).
% 3.18/0.77 fof(f2046,plain,(
% 3.18/0.77 spl0_216 <=> upper_bounded_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2049,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|upper_bounded_relstr(sk0_16)|~spl0_160),
% 3.18/0.77 inference(resolution,[status(thm)],[f1670,f181])).
% 3.18/0.77 fof(f2050,plain,(
% 3.18/0.77 ~spl0_157|spl0_216|~spl0_160),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2049,f1652,f2046,f1669])).
% 3.18/0.77 fof(f2051,plain,(
% 3.18/0.77 spl0_217 <=> lower_bounded_relstr(sk0_16)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2054,plain,(
% 3.18/0.77 ~rel_str(sk0_16)|lower_bounded_relstr(sk0_16)|~spl0_160),
% 3.18/0.77 inference(resolution,[status(thm)],[f1670,f180])).
% 3.18/0.77 fof(f2055,plain,(
% 3.18/0.77 ~spl0_157|spl0_217|~spl0_160),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2054,f1652,f2051,f1669])).
% 3.18/0.77 fof(f2056,plain,(
% 3.18/0.77 spl0_218 <=> upper_bounded_relstr(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2059,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|upper_bounded_relstr(sk0_17)|~spl0_170),
% 3.18/0.77 inference(resolution,[status(thm)],[f1722,f181])).
% 3.18/0.77 fof(f2060,plain,(
% 3.18/0.77 ~spl0_167|spl0_218|~spl0_170),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2059,f1704,f2056,f1721])).
% 3.18/0.77 fof(f2061,plain,(
% 3.18/0.77 spl0_219 <=> lower_bounded_relstr(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2064,plain,(
% 3.18/0.77 ~rel_str(sk0_17)|lower_bounded_relstr(sk0_17)|~spl0_170),
% 3.18/0.77 inference(resolution,[status(thm)],[f1722,f180])).
% 3.18/0.77 fof(f2065,plain,(
% 3.18/0.77 ~spl0_167|spl0_219|~spl0_170),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2064,f1704,f2061,f1721])).
% 3.18/0.77 fof(f2077,plain,(
% 3.18/0.77 one_sorted_str(sk0_26)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1799,f248])).
% 3.18/0.77 fof(f2085,plain,(
% 3.18/0.77 one_sorted_str(sk0_27)),
% 3.18/0.77 inference(resolution,[status(thm)],[f1811,f248])).
% 3.18/0.77 fof(f2096,plain,(
% 3.18/0.77 ![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))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f277,f599])).
% 3.18/0.77 fof(f2109,plain,(
% 3.18/0.77 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|related_reflexive(X0,sk0_6(the_carrier(X0)),sk0_6(the_carrier(X0))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f2096,f277])).
% 3.18/0.77 fof(f2110,plain,(
% 3.18/0.77 spl0_222 <=> related_reflexive(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2111,plain,(
% 3.18/0.77 related_reflexive(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))|~spl0_222),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2110])).
% 3.18/0.77 fof(f2113,plain,(
% 3.18/0.77 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))))),
% 3.18/0.77 inference(resolution,[status(thm)],[f2096,f612])).
% 3.18/0.77 fof(f2114,plain,(
% 3.18/0.77 spl0_2|~spl0_3|~spl0_4|spl0_222),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2113,f647,f650,f653,f2110])).
% 3.18/0.77 fof(f2117,plain,(
% 3.18/0.77 spl0_223 <=> empty_carrier(poset_of_lattice(sk0_27))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2118,plain,(
% 3.18/0.77 empty_carrier(poset_of_lattice(sk0_27))|~spl0_223),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2117])).
% 3.18/0.77 fof(f2120,plain,(
% 3.18/0.77 spl0_224 <=> 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))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2121,plain,(
% 3.18/0.77 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_224),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2120])).
% 3.18/0.77 fof(f2123,plain,(
% 3.18/0.77 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_205),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f1909])).
% 3.18/0.77 fof(f2124,plain,(
% 3.18/0.77 spl0_223|~spl0_202|spl0_224|~spl0_205),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2123,f2117,f1893,f2120,f1908])).
% 3.18/0.77 fof(f2125,plain,(
% 3.18/0.77 spl0_225 <=> empty_carrier(poset_of_lattice(sk0_11))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2126,plain,(
% 3.18/0.77 empty_carrier(poset_of_lattice(sk0_11))|~spl0_225),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2125])).
% 3.18/0.77 fof(f2128,plain,(
% 3.18/0.77 spl0_226 <=> 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))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2129,plain,(
% 3.18/0.77 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_226),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2128])).
% 3.18/0.77 fof(f2131,plain,(
% 3.18/0.77 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_135),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f1520])).
% 3.18/0.77 fof(f2132,plain,(
% 3.18/0.77 spl0_225|~spl0_132|spl0_226|~spl0_135),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2131,f2125,f1504,f2128,f1519])).
% 3.18/0.77 fof(f2133,plain,(
% 3.18/0.77 spl0_227 <=> empty_carrier(poset_of_lattice(sk0_10))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2134,plain,(
% 3.18/0.77 empty_carrier(poset_of_lattice(sk0_10))|~spl0_227),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2133])).
% 3.18/0.77 fof(f2136,plain,(
% 3.18/0.77 spl0_228 <=> 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))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2137,plain,(
% 3.18/0.77 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_228),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2136])).
% 3.18/0.77 fof(f2139,plain,(
% 3.18/0.77 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_107),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f1364])).
% 3.18/0.77 fof(f2140,plain,(
% 3.18/0.77 spl0_227|~spl0_104|spl0_228|~spl0_107),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2139,f2133,f1348,f2136,f1363])).
% 3.18/0.77 fof(f2141,plain,(
% 3.18/0.77 spl0_229 <=> empty_carrier(poset_of_lattice(sk0_9))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2142,plain,(
% 3.18/0.77 empty_carrier(poset_of_lattice(sk0_9))|~spl0_229),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2141])).
% 3.18/0.77 fof(f2144,plain,(
% 3.18/0.77 spl0_230 <=> 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))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2145,plain,(
% 3.18/0.77 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_230),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2144])).
% 3.18/0.77 fof(f2147,plain,(
% 3.18/0.77 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_79),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f1208])).
% 3.18/0.77 fof(f2148,plain,(
% 3.18/0.77 spl0_229|~spl0_76|spl0_230|~spl0_79),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2147,f2141,f1192,f2144,f1207])).
% 3.18/0.77 fof(f2149,plain,(
% 3.18/0.77 spl0_231 <=> empty_carrier(poset_of_lattice(sk0_8))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2152,plain,(
% 3.18/0.77 spl0_232 <=> 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))))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2153,plain,(
% 3.18/0.77 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_232),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2152])).
% 3.18/0.77 fof(f2155,plain,(
% 3.18/0.77 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_40),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f950])).
% 3.18/0.77 fof(f2156,plain,(
% 3.18/0.77 spl0_231|~spl0_37|spl0_232|~spl0_40),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2155,f2149,f934,f2152,f949])).
% 3.18/0.77 fof(f2157,plain,(
% 3.18/0.77 spl0_233 <=> related_reflexive(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2158,plain,(
% 3.18/0.77 related_reflexive(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))|~spl0_233),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2157])).
% 3.18/0.77 fof(f2160,plain,(
% 3.18/0.77 empty_carrier(sk0_22)|~rel_str(sk0_22)|related_reflexive(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f544])).
% 3.18/0.77 fof(f2161,plain,(
% 3.18/0.77 spl0_176|~spl0_175|spl0_233),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2160,f1749,f1746,f2157])).
% 3.18/0.77 fof(f2162,plain,(
% 3.18/0.77 spl0_234 <=> empty_carrier(sk0_18)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2163,plain,(
% 3.18/0.77 empty_carrier(sk0_18)|~spl0_234),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2162])).
% 3.18/0.77 fof(f2165,plain,(
% 3.18/0.77 spl0_235 <=> related_reflexive(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2166,plain,(
% 3.18/0.77 related_reflexive(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_235),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2165])).
% 3.18/0.77 fof(f2168,plain,(
% 3.18/0.77 empty_carrier(sk0_18)|~rel_str(sk0_18)|related_reflexive(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f529])).
% 3.18/0.77 fof(f2169,plain,(
% 3.18/0.77 spl0_234|~spl0_173|spl0_235),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2168,f2162,f1736,f2165])).
% 3.18/0.77 fof(f2170,plain,(
% 3.18/0.77 spl0_236 <=> related_reflexive(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2171,plain,(
% 3.18/0.77 related_reflexive(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))|~spl0_236),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2170])).
% 3.18/0.77 fof(f2173,plain,(
% 3.18/0.77 empty_carrier(sk0_17)|~rel_str(sk0_17)|related_reflexive(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f519])).
% 3.18/0.77 fof(f2174,plain,(
% 3.18/0.77 spl0_169|~spl0_167|spl0_236),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2173,f1714,f1704,f2170])).
% 3.18/0.77 fof(f2175,plain,(
% 3.18/0.77 spl0_237 <=> related_reflexive(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2176,plain,(
% 3.18/0.77 related_reflexive(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))|~spl0_237),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2175])).
% 3.18/0.77 fof(f2178,plain,(
% 3.18/0.77 empty_carrier(sk0_16)|~rel_str(sk0_16)|related_reflexive(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f508])).
% 3.18/0.77 fof(f2179,plain,(
% 3.18/0.77 spl0_159|~spl0_157|spl0_237),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2178,f1662,f1652,f2175])).
% 3.18/0.77 fof(f2180,plain,(
% 3.18/0.77 spl0_238 <=> related_reflexive(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2181,plain,(
% 3.18/0.77 related_reflexive(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))|~spl0_238),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2180])).
% 3.18/0.77 fof(f2183,plain,(
% 3.18/0.77 empty_carrier(sk0_12)|~rel_str(sk0_12)|related_reflexive(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))),
% 3.18/0.77 inference(resolution,[status(thm)],[f2109,f491])).
% 3.18/0.77 fof(f2184,plain,(
% 3.18/0.77 spl0_151|~spl0_149|spl0_238),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2183,f1619,f1609,f2180])).
% 3.18/0.77 fof(f2187,plain,(
% 3.18/0.77 $false|~spl0_234),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2163,f527])).
% 3.18/0.77 fof(f2188,plain,(
% 3.18/0.77 ~spl0_234),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f2187])).
% 3.18/0.77 fof(f2189,plain,(
% 3.18/0.77 empty_carrier(sk0_27)|~lattice(sk0_27)|~latt_str(sk0_27)|~spl0_223),
% 3.18/0.77 inference(resolution,[status(thm)],[f2118,f313])).
% 3.18/0.77 fof(f2190,plain,(
% 3.18/0.77 spl0_188|~spl0_194|~spl0_186|~spl0_223),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2189,f1823,f1841,f1813,f2117])).
% 3.18/0.77 fof(f2191,plain,(
% 3.18/0.77 empty_carrier(sk0_11)|~lattice(sk0_11)|~latt_str(sk0_11)|~spl0_225),
% 3.18/0.77 inference(resolution,[status(thm)],[f2126,f313])).
% 3.18/0.77 fof(f2192,plain,(
% 3.18/0.77 spl0_118|~spl0_124|~spl0_116|~spl0_225),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2191,f1434,f1452,f1424,f2125])).
% 3.18/0.77 fof(f2193,plain,(
% 3.18/0.77 empty_carrier(sk0_10)|~lattice(sk0_10)|~latt_str(sk0_10)|~spl0_227),
% 3.18/0.77 inference(resolution,[status(thm)],[f2134,f313])).
% 3.18/0.77 fof(f2194,plain,(
% 3.18/0.77 spl0_90|~spl0_96|~spl0_88|~spl0_227),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2193,f1278,f1296,f1268,f2133])).
% 3.18/0.77 fof(f2195,plain,(
% 3.18/0.77 empty_carrier(sk0_9)|~lattice(sk0_9)|~latt_str(sk0_9)|~spl0_229),
% 3.18/0.77 inference(resolution,[status(thm)],[f2142,f313])).
% 3.18/0.77 fof(f2196,plain,(
% 3.18/0.77 spl0_62|~spl0_68|~spl0_60|~spl0_229),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2195,f1122,f1140,f1112,f2141])).
% 3.18/0.77 fof(f2199,plain,(
% 3.18/0.77 spl0_239 <=> reflexive_relstr(sk0_12)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2201,plain,(
% 3.18/0.77 ~reflexive_relstr(sk0_12)|spl0_239),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2199])).
% 3.18/0.77 fof(f2202,plain,(
% 3.18/0.77 spl0_240 <=> element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2204,plain,(
% 3.18/0.77 ~element(sk0_6(the_carrier(sk0_12)),the_carrier(sk0_12))|spl0_240),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2202])).
% 3.18/0.77 fof(f2205,plain,(
% 3.18/0.77 spl0_241 <=> related(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2206,plain,(
% 3.18/0.77 related(sk0_12,sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12)))|~spl0_241),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2205])).
% 3.18/0.77 fof(f2208,plain,(
% 3.18/0.77 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_238),
% 3.18/0.77 inference(resolution,[status(thm)],[f2181,f590])).
% 3.18/0.77 fof(f2209,plain,(
% 3.18/0.77 spl0_151|~spl0_239|~spl0_149|~spl0_240|spl0_241|~spl0_238),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2208,f1619,f2199,f1609,f2202,f2205,f2180])).
% 3.18/0.77 fof(f2210,plain,(
% 3.18/0.77 $false|spl0_240),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2204,f277])).
% 3.18/0.77 fof(f2211,plain,(
% 3.18/0.77 spl0_240),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f2210])).
% 3.18/0.77 fof(f2212,plain,(
% 3.18/0.77 $false|spl0_239),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2201,f491])).
% 3.18/0.77 fof(f2213,plain,(
% 3.18/0.77 spl0_239),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f2212])).
% 3.18/0.77 fof(f2214,plain,(
% 3.18/0.77 spl0_242 <=> element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2216,plain,(
% 3.18/0.77 ~element(sk0_6(the_carrier(sk0_16)),the_carrier(sk0_16))|spl0_242),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2214])).
% 3.18/0.77 fof(f2217,plain,(
% 3.18/0.77 spl0_243 <=> related(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2218,plain,(
% 3.18/0.77 related(sk0_16,sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16)))|~spl0_243),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2217])).
% 3.18/0.77 fof(f2220,plain,(
% 3.18/0.77 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_237),
% 3.18/0.77 inference(resolution,[status(thm)],[f2176,f590])).
% 3.18/0.77 fof(f2221,plain,(
% 3.18/0.77 spl0_159|~spl0_163|~spl0_157|~spl0_242|spl0_243|~spl0_237),
% 3.18/0.77 inference(split_clause,[status(thm)],[f2220,f1662,f1684,f1652,f2214,f2217,f2175])).
% 3.18/0.77 fof(f2222,plain,(
% 3.18/0.77 $false|spl0_242),
% 3.18/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2216,f277])).
% 3.18/0.77 fof(f2223,plain,(
% 3.18/0.77 spl0_242),
% 3.18/0.77 inference(contradiction_clause,[status(thm)],[f2222])).
% 3.18/0.77 fof(f2224,plain,(
% 3.18/0.77 spl0_244 <=> reflexive_relstr(sk0_17)),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2226,plain,(
% 3.18/0.77 ~reflexive_relstr(sk0_17)|spl0_244),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2224])).
% 3.18/0.77 fof(f2227,plain,(
% 3.18/0.77 spl0_245 <=> element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2229,plain,(
% 3.18/0.77 ~element(sk0_6(the_carrier(sk0_17)),the_carrier(sk0_17))|spl0_245),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2227])).
% 3.18/0.77 fof(f2230,plain,(
% 3.18/0.77 spl0_246 <=> related(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))),
% 3.18/0.77 introduced(split_symbol_definition)).
% 3.18/0.77 fof(f2231,plain,(
% 3.18/0.77 related(sk0_17,sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17)))|~spl0_246),
% 3.18/0.77 inference(component_clause,[status(thm)],[f2230])).
% 3.18/0.78 fof(f2233,plain,(
% 3.18/0.78 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_236),
% 3.18/0.78 inference(resolution,[status(thm)],[f2171,f590])).
% 3.18/0.78 fof(f2234,plain,(
% 3.18/0.78 spl0_169|~spl0_244|~spl0_167|~spl0_245|spl0_246|~spl0_236),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2233,f1714,f2224,f1704,f2227,f2230,f2170])).
% 3.18/0.78 fof(f2235,plain,(
% 3.18/0.78 $false|spl0_245),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2229,f277])).
% 3.18/0.78 fof(f2236,plain,(
% 3.18/0.78 spl0_245),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2235])).
% 3.18/0.78 fof(f2237,plain,(
% 3.18/0.78 $false|spl0_244),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2226,f519])).
% 3.18/0.78 fof(f2238,plain,(
% 3.18/0.78 spl0_244),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2237])).
% 3.18/0.78 fof(f2239,plain,(
% 3.18/0.78 spl0_247 <=> reflexive_relstr(sk0_22)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2241,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_22)|spl0_247),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2239])).
% 3.18/0.78 fof(f2242,plain,(
% 3.18/0.78 spl0_248 <=> element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2244,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(sk0_22)),the_carrier(sk0_22))|spl0_248),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2242])).
% 3.18/0.78 fof(f2245,plain,(
% 3.18/0.78 spl0_249 <=> related(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2246,plain,(
% 3.18/0.78 related(sk0_22,sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22)))|~spl0_249),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2245])).
% 3.18/0.78 fof(f2248,plain,(
% 3.18/0.78 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_233),
% 3.18/0.78 inference(resolution,[status(thm)],[f2158,f590])).
% 3.18/0.78 fof(f2249,plain,(
% 3.18/0.78 spl0_176|~spl0_247|~spl0_175|~spl0_248|spl0_249|~spl0_233),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2248,f1749,f2239,f1746,f2242,f2245,f2157])).
% 3.18/0.78 fof(f2250,plain,(
% 3.18/0.78 $false|spl0_248),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2244,f277])).
% 3.18/0.78 fof(f2251,plain,(
% 3.18/0.78 spl0_248),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2250])).
% 3.18/0.78 fof(f2252,plain,(
% 3.18/0.78 $false|spl0_247),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2241,f544])).
% 3.18/0.78 fof(f2253,plain,(
% 3.18/0.78 spl0_247),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2252])).
% 3.18/0.78 fof(f2254,plain,(
% 3.18/0.78 spl0_250 <=> reflexive_relstr(sk0_18)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2256,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_18)|spl0_250),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2254])).
% 3.18/0.78 fof(f2257,plain,(
% 3.18/0.78 spl0_251 <=> element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2259,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(sk0_18)),the_carrier(sk0_18))|spl0_251),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2257])).
% 3.18/0.78 fof(f2260,plain,(
% 3.18/0.78 spl0_252 <=> related(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2261,plain,(
% 3.18/0.78 related(sk0_18,sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18)))|~spl0_252),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2260])).
% 3.18/0.78 fof(f2263,plain,(
% 3.18/0.78 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_235),
% 3.18/0.78 inference(resolution,[status(thm)],[f2166,f590])).
% 3.18/0.78 fof(f2264,plain,(
% 3.18/0.78 spl0_234|~spl0_250|~spl0_173|~spl0_251|spl0_252|~spl0_235),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2263,f2162,f2254,f1736,f2257,f2260,f2165])).
% 3.18/0.78 fof(f2265,plain,(
% 3.18/0.78 $false|spl0_251),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2259,f277])).
% 3.18/0.78 fof(f2266,plain,(
% 3.18/0.78 spl0_251),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2265])).
% 3.18/0.78 fof(f2267,plain,(
% 3.18/0.78 $false|spl0_250),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2256,f529])).
% 3.18/0.78 fof(f2268,plain,(
% 3.18/0.78 spl0_250),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2267])).
% 3.18/0.78 fof(f2271,plain,(
% 3.18/0.78 spl0_253 <=> in(ordered_pair(sk0_6(the_carrier(sk0_12)),sk0_6(the_carrier(sk0_12))),the_InternalRel(sk0_12))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2274,plain,(
% 3.18/0.78 ~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_241),
% 3.18/0.78 inference(resolution,[status(thm)],[f2206,f213])).
% 3.18/0.78 fof(f2275,plain,(
% 3.18/0.78 ~spl0_149|~spl0_240|spl0_253|~spl0_241),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2274,f1609,f2202,f2271,f2205])).
% 3.18/0.78 fof(f2278,plain,(
% 3.18/0.78 spl0_254 <=> in(ordered_pair(sk0_6(the_carrier(sk0_16)),sk0_6(the_carrier(sk0_16))),the_InternalRel(sk0_16))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2281,plain,(
% 3.18/0.78 ~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_243),
% 3.18/0.78 inference(resolution,[status(thm)],[f2218,f213])).
% 3.18/0.78 fof(f2282,plain,(
% 3.18/0.78 ~spl0_157|~spl0_242|spl0_254|~spl0_243),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2281,f1652,f2214,f2278,f2217])).
% 3.18/0.78 fof(f2285,plain,(
% 3.18/0.78 spl0_255 <=> in(ordered_pair(sk0_6(the_carrier(sk0_17)),sk0_6(the_carrier(sk0_17))),the_InternalRel(sk0_17))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2288,plain,(
% 3.18/0.78 ~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_246),
% 3.18/0.78 inference(resolution,[status(thm)],[f2231,f213])).
% 3.18/0.78 fof(f2289,plain,(
% 3.18/0.78 ~spl0_167|~spl0_245|spl0_255|~spl0_246),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2288,f1704,f2227,f2285,f2230])).
% 3.18/0.78 fof(f2292,plain,(
% 3.18/0.78 spl0_256 <=> in(ordered_pair(sk0_6(the_carrier(sk0_22)),sk0_6(the_carrier(sk0_22))),the_InternalRel(sk0_22))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2295,plain,(
% 3.18/0.78 ~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_249),
% 3.18/0.78 inference(resolution,[status(thm)],[f2246,f213])).
% 3.18/0.78 fof(f2296,plain,(
% 3.18/0.78 ~spl0_175|~spl0_248|spl0_256|~spl0_249),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2295,f1746,f2242,f2292,f2245])).
% 3.18/0.78 fof(f2299,plain,(
% 3.18/0.78 spl0_257 <=> in(ordered_pair(sk0_6(the_carrier(sk0_18)),sk0_6(the_carrier(sk0_18))),the_InternalRel(sk0_18))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2302,plain,(
% 3.18/0.78 ~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_252),
% 3.18/0.78 inference(resolution,[status(thm)],[f2261,f213])).
% 3.18/0.78 fof(f2303,plain,(
% 3.18/0.78 ~spl0_173|~spl0_251|spl0_257|~spl0_252),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2302,f1736,f2257,f2299,f2260])).
% 3.18/0.78 fof(f2339,plain,(
% 3.18/0.78 spl0_258 <=> element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2341,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(boole_POSet(sk0_28))),the_carrier(boole_POSet(sk0_28)))|spl0_258),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2339])).
% 3.18/0.78 fof(f2342,plain,(
% 3.18/0.78 spl0_259 <=> related(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2343,plain,(
% 3.18/0.78 related(boole_POSet(sk0_28),sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28))))|~spl0_259),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2342])).
% 3.18/0.78 fof(f2345,plain,(
% 3.18/0.78 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_222),
% 3.18/0.78 inference(resolution,[status(thm)],[f2111,f590])).
% 3.18/0.78 fof(f2346,plain,(
% 3.18/0.78 spl0_2|~spl0_3|~spl0_4|~spl0_258|spl0_259|~spl0_222),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2345,f647,f650,f653,f2339,f2342,f2110])).
% 3.18/0.78 fof(f2347,plain,(
% 3.18/0.78 $false|spl0_258),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2341,f277])).
% 3.18/0.78 fof(f2348,plain,(
% 3.18/0.78 spl0_258),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2347])).
% 3.18/0.78 fof(f2353,plain,(
% 3.18/0.78 spl0_260 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2355,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_27))),the_carrier(poset_of_lattice(sk0_27)))|spl0_260),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2353])).
% 3.18/0.78 fof(f2356,plain,(
% 3.18/0.78 spl0_261 <=> related(poset_of_lattice(sk0_27),sk0_6(the_carrier(poset_of_lattice(sk0_27))),sk0_6(the_carrier(poset_of_lattice(sk0_27))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2357,plain,(
% 3.18/0.78 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_261),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2356])).
% 3.18/0.78 fof(f2359,plain,(
% 3.18/0.78 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_224),
% 3.18/0.78 inference(resolution,[status(thm)],[f2121,f590])).
% 3.18/0.78 fof(f2360,plain,(
% 3.18/0.78 spl0_223|~spl0_205|~spl0_202|~spl0_260|spl0_261|~spl0_224),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2359,f2117,f1908,f1893,f2353,f2356,f2120])).
% 3.18/0.78 fof(f2361,plain,(
% 3.18/0.78 $false|spl0_260),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2355,f277])).
% 3.18/0.78 fof(f2362,plain,(
% 3.18/0.78 spl0_260),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2361])).
% 3.18/0.78 fof(f2363,plain,(
% 3.18/0.78 spl0_262 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2365,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_11))),the_carrier(poset_of_lattice(sk0_11)))|spl0_262),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2363])).
% 3.18/0.78 fof(f2366,plain,(
% 3.18/0.78 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))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2367,plain,(
% 3.18/0.78 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),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2366])).
% 3.18/0.78 fof(f2369,plain,(
% 3.18/0.78 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_226),
% 3.18/0.78 inference(resolution,[status(thm)],[f2129,f590])).
% 3.18/0.78 fof(f2370,plain,(
% 3.18/0.78 spl0_225|~spl0_135|~spl0_132|~spl0_262|spl0_263|~spl0_226),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2369,f2125,f1519,f1504,f2363,f2366,f2128])).
% 3.18/0.78 fof(f2371,plain,(
% 3.18/0.78 $false|spl0_262),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2365,f277])).
% 3.18/0.78 fof(f2372,plain,(
% 3.18/0.78 spl0_262),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2371])).
% 3.18/0.78 fof(f2373,plain,(
% 3.18/0.78 spl0_264 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2375,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_10))),the_carrier(poset_of_lattice(sk0_10)))|spl0_264),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2373])).
% 3.18/0.78 fof(f2376,plain,(
% 3.18/0.78 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))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2377,plain,(
% 3.18/0.78 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),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2376])).
% 3.18/0.78 fof(f2379,plain,(
% 3.18/0.78 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_228),
% 3.18/0.78 inference(resolution,[status(thm)],[f2137,f590])).
% 3.18/0.78 fof(f2380,plain,(
% 3.18/0.78 spl0_227|~spl0_107|~spl0_104|~spl0_264|spl0_265|~spl0_228),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2379,f2133,f1363,f1348,f2373,f2376,f2136])).
% 3.18/0.78 fof(f2381,plain,(
% 3.18/0.78 $false|spl0_264),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2375,f277])).
% 3.18/0.78 fof(f2382,plain,(
% 3.18/0.78 spl0_264),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2381])).
% 3.18/0.78 fof(f2383,plain,(
% 3.18/0.78 spl0_266 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2385,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_9))),the_carrier(poset_of_lattice(sk0_9)))|spl0_266),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2383])).
% 3.18/0.78 fof(f2386,plain,(
% 3.18/0.78 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))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2387,plain,(
% 3.18/0.78 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),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2386])).
% 3.18/0.78 fof(f2389,plain,(
% 3.18/0.78 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_230),
% 3.18/0.78 inference(resolution,[status(thm)],[f2145,f590])).
% 3.18/0.78 fof(f2390,plain,(
% 3.18/0.78 spl0_229|~spl0_79|~spl0_76|~spl0_266|spl0_267|~spl0_230),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2389,f2141,f1207,f1192,f2383,f2386,f2144])).
% 3.18/0.78 fof(f2391,plain,(
% 3.18/0.78 $false|spl0_266),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2385,f277])).
% 3.18/0.78 fof(f2392,plain,(
% 3.18/0.78 spl0_266),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2391])).
% 3.18/0.78 fof(f2393,plain,(
% 3.18/0.78 spl0_268 <=> element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2395,plain,(
% 3.18/0.78 ~element(sk0_6(the_carrier(poset_of_lattice(sk0_8))),the_carrier(poset_of_lattice(sk0_8)))|spl0_268),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2393])).
% 3.18/0.78 fof(f2396,plain,(
% 3.18/0.78 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))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2397,plain,(
% 3.18/0.78 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),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2396])).
% 3.18/0.78 fof(f2399,plain,(
% 3.18/0.78 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_232),
% 3.18/0.78 inference(resolution,[status(thm)],[f2153,f590])).
% 3.18/0.78 fof(f2400,plain,(
% 3.18/0.78 spl0_231|~spl0_40|~spl0_37|~spl0_268|spl0_269|~spl0_232),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2399,f2149,f949,f934,f2393,f2396,f2152])).
% 3.18/0.78 fof(f2401,plain,(
% 3.18/0.78 $false|spl0_268),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2395,f277])).
% 3.18/0.78 fof(f2402,plain,(
% 3.18/0.78 spl0_268),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2401])).
% 3.18/0.78 fof(f2405,plain,(
% 3.18/0.78 spl0_270 <=> 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)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2406,plain,(
% 3.18/0.78 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_270),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2405])).
% 3.18/0.78 fof(f2408,plain,(
% 3.18/0.78 ~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_259),
% 3.18/0.78 inference(resolution,[status(thm)],[f2343,f213])).
% 3.18/0.78 fof(f2409,plain,(
% 3.18/0.78 ~spl0_4|~spl0_258|spl0_270|~spl0_259),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2408,f653,f2339,f2405,f2342])).
% 3.18/0.78 fof(f2441,plain,(
% 3.18/0.78 spl0_271 <=> transitive_relstr(sk0_22)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2443,plain,(
% 3.18/0.78 ~transitive_relstr(sk0_22)|spl0_271),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2441])).
% 3.18/0.78 fof(f2444,plain,(
% 3.18/0.78 spl0_272 <=> relation(the_InternalRel(sk0_22))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2447,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|relation(the_InternalRel(sk0_22))),
% 3.18/0.78 inference(resolution,[status(thm)],[f331,f546])).
% 3.18/0.78 fof(f2448,plain,(
% 3.18/0.78 ~spl0_247|~spl0_271|~spl0_175|spl0_272),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2447,f2239,f2441,f1746,f2444])).
% 3.18/0.78 fof(f2449,plain,(
% 3.18/0.78 spl0_273 <=> transitive_relstr(sk0_18)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2451,plain,(
% 3.18/0.78 ~transitive_relstr(sk0_18)|spl0_273),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2449])).
% 3.18/0.78 fof(f2452,plain,(
% 3.18/0.78 spl0_274 <=> relation(the_InternalRel(sk0_18))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2455,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|relation(the_InternalRel(sk0_18))),
% 3.18/0.78 inference(resolution,[status(thm)],[f331,f531])).
% 3.18/0.78 fof(f2456,plain,(
% 3.18/0.78 ~spl0_250|~spl0_273|~spl0_173|spl0_274),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2455,f2254,f2449,f1736,f2452])).
% 3.18/0.78 fof(f2457,plain,(
% 3.18/0.78 spl0_275 <=> transitive_relstr(sk0_17)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2459,plain,(
% 3.18/0.78 ~transitive_relstr(sk0_17)|spl0_275),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2457])).
% 3.18/0.78 fof(f2460,plain,(
% 3.18/0.78 spl0_276 <=> relation(the_InternalRel(sk0_17))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2463,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|relation(the_InternalRel(sk0_17))),
% 3.18/0.78 inference(resolution,[status(thm)],[f331,f521])).
% 3.18/0.78 fof(f2464,plain,(
% 3.18/0.78 ~spl0_244|~spl0_275|~spl0_167|spl0_276),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2463,f2224,f2457,f1704,f2460])).
% 3.18/0.78 fof(f2465,plain,(
% 3.18/0.78 spl0_277 <=> relation(the_InternalRel(sk0_16))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2468,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|relation(the_InternalRel(sk0_16))),
% 3.18/0.78 inference(resolution,[status(thm)],[f331,f510])).
% 3.18/0.78 fof(f2469,plain,(
% 3.18/0.78 ~spl0_163|~spl0_166|~spl0_157|spl0_277),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2468,f1684,f1697,f1652,f2465])).
% 3.18/0.78 fof(f2470,plain,(
% 3.18/0.78 spl0_278 <=> transitive_relstr(sk0_12)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2472,plain,(
% 3.18/0.78 ~transitive_relstr(sk0_12)|spl0_278),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2470])).
% 3.18/0.78 fof(f2473,plain,(
% 3.18/0.78 spl0_279 <=> relation(the_InternalRel(sk0_12))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2476,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|relation(the_InternalRel(sk0_12))),
% 3.18/0.78 inference(resolution,[status(thm)],[f331,f493])).
% 3.18/0.78 fof(f2477,plain,(
% 3.18/0.78 ~spl0_239|~spl0_278|~spl0_149|spl0_279),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2476,f2199,f2470,f1609,f2473])).
% 3.18/0.78 fof(f2479,plain,(
% 3.18/0.78 $false|spl0_278),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2472,f492])).
% 3.18/0.78 fof(f2480,plain,(
% 3.18/0.78 spl0_278),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2479])).
% 3.18/0.78 fof(f2481,plain,(
% 3.18/0.78 $false|spl0_275),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2459,f520])).
% 3.18/0.78 fof(f2482,plain,(
% 3.18/0.78 spl0_275),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2481])).
% 3.18/0.78 fof(f2483,plain,(
% 3.18/0.78 $false|spl0_273),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2451,f530])).
% 3.18/0.78 fof(f2484,plain,(
% 3.18/0.78 spl0_273),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2483])).
% 3.18/0.78 fof(f2485,plain,(
% 3.18/0.78 $false|spl0_271),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2443,f545])).
% 3.18/0.78 fof(f2486,plain,(
% 3.18/0.78 spl0_271),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f2485])).
% 3.18/0.78 fof(f2487,plain,(
% 3.18/0.78 spl0_280 <=> reflexive(the_InternalRel(sk0_22))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2490,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|reflexive(the_InternalRel(sk0_22))),
% 3.18/0.78 inference(resolution,[status(thm)],[f332,f546])).
% 3.18/0.78 fof(f2491,plain,(
% 3.18/0.78 ~spl0_247|~spl0_271|~spl0_175|spl0_280),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2490,f2239,f2441,f1746,f2487])).
% 3.18/0.78 fof(f2492,plain,(
% 3.18/0.78 spl0_281 <=> reflexive(the_InternalRel(sk0_18))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2495,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|reflexive(the_InternalRel(sk0_18))),
% 3.18/0.78 inference(resolution,[status(thm)],[f332,f531])).
% 3.18/0.78 fof(f2496,plain,(
% 3.18/0.78 ~spl0_250|~spl0_273|~spl0_173|spl0_281),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2495,f2254,f2449,f1736,f2492])).
% 3.18/0.78 fof(f2497,plain,(
% 3.18/0.78 spl0_282 <=> reflexive(the_InternalRel(sk0_17))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2500,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|reflexive(the_InternalRel(sk0_17))),
% 3.18/0.78 inference(resolution,[status(thm)],[f332,f521])).
% 3.18/0.78 fof(f2501,plain,(
% 3.18/0.78 ~spl0_244|~spl0_275|~spl0_167|spl0_282),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2500,f2224,f2457,f1704,f2497])).
% 3.18/0.78 fof(f2502,plain,(
% 3.18/0.78 spl0_283 <=> reflexive(the_InternalRel(sk0_16))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2505,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|reflexive(the_InternalRel(sk0_16))),
% 3.18/0.78 inference(resolution,[status(thm)],[f332,f510])).
% 3.18/0.78 fof(f2506,plain,(
% 3.18/0.78 ~spl0_163|~spl0_166|~spl0_157|spl0_283),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2505,f1684,f1697,f1652,f2502])).
% 3.18/0.78 fof(f2507,plain,(
% 3.18/0.78 spl0_284 <=> reflexive(the_InternalRel(sk0_12))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2510,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|reflexive(the_InternalRel(sk0_12))),
% 3.18/0.78 inference(resolution,[status(thm)],[f332,f493])).
% 3.18/0.78 fof(f2511,plain,(
% 3.18/0.78 ~spl0_239|~spl0_278|~spl0_149|spl0_284),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2510,f2199,f2470,f1609,f2507])).
% 3.18/0.78 fof(f2514,plain,(
% 3.18/0.78 spl0_285 <=> antisymmetric(the_InternalRel(sk0_22))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2517,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|antisymmetric(the_InternalRel(sk0_22))),
% 3.18/0.78 inference(resolution,[status(thm)],[f333,f546])).
% 3.18/0.78 fof(f2518,plain,(
% 3.18/0.78 ~spl0_247|~spl0_271|~spl0_175|spl0_285),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2517,f2239,f2441,f1746,f2514])).
% 3.18/0.78 fof(f2519,plain,(
% 3.18/0.78 spl0_286 <=> antisymmetric(the_InternalRel(sk0_18))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2522,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|antisymmetric(the_InternalRel(sk0_18))),
% 3.18/0.78 inference(resolution,[status(thm)],[f333,f531])).
% 3.18/0.78 fof(f2523,plain,(
% 3.18/0.78 ~spl0_250|~spl0_273|~spl0_173|spl0_286),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2522,f2254,f2449,f1736,f2519])).
% 3.18/0.78 fof(f2524,plain,(
% 3.18/0.78 spl0_287 <=> antisymmetric(the_InternalRel(sk0_17))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2527,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|antisymmetric(the_InternalRel(sk0_17))),
% 3.18/0.78 inference(resolution,[status(thm)],[f333,f521])).
% 3.18/0.78 fof(f2528,plain,(
% 3.18/0.78 ~spl0_244|~spl0_275|~spl0_167|spl0_287),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2527,f2224,f2457,f1704,f2524])).
% 3.18/0.78 fof(f2529,plain,(
% 3.18/0.78 spl0_288 <=> antisymmetric(the_InternalRel(sk0_16))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2532,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|antisymmetric(the_InternalRel(sk0_16))),
% 3.18/0.78 inference(resolution,[status(thm)],[f333,f510])).
% 3.18/0.78 fof(f2533,plain,(
% 3.18/0.78 ~spl0_163|~spl0_166|~spl0_157|spl0_288),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2532,f1684,f1697,f1652,f2529])).
% 3.18/0.78 fof(f2534,plain,(
% 3.18/0.78 spl0_289 <=> antisymmetric(the_InternalRel(sk0_12))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2537,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|antisymmetric(the_InternalRel(sk0_12))),
% 3.18/0.78 inference(resolution,[status(thm)],[f333,f493])).
% 3.18/0.78 fof(f2538,plain,(
% 3.18/0.78 ~spl0_239|~spl0_278|~spl0_149|spl0_289),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2537,f2199,f2470,f1609,f2534])).
% 3.18/0.78 fof(f2541,plain,(
% 3.18/0.78 spl0_290 <=> transitive(the_InternalRel(sk0_22))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2544,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_22)|~transitive_relstr(sk0_22)|~rel_str(sk0_22)|transitive(the_InternalRel(sk0_22))),
% 3.18/0.78 inference(resolution,[status(thm)],[f334,f546])).
% 3.18/0.78 fof(f2545,plain,(
% 3.18/0.78 ~spl0_247|~spl0_271|~spl0_175|spl0_290),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2544,f2239,f2441,f1746,f2541])).
% 3.18/0.78 fof(f2546,plain,(
% 3.18/0.78 spl0_291 <=> transitive(the_InternalRel(sk0_18))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2549,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~rel_str(sk0_18)|transitive(the_InternalRel(sk0_18))),
% 3.18/0.78 inference(resolution,[status(thm)],[f334,f531])).
% 3.18/0.78 fof(f2550,plain,(
% 3.18/0.78 ~spl0_250|~spl0_273|~spl0_173|spl0_291),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2549,f2254,f2449,f1736,f2546])).
% 3.18/0.78 fof(f2551,plain,(
% 3.18/0.78 spl0_292 <=> transitive(the_InternalRel(sk0_17))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2554,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_17)|~transitive_relstr(sk0_17)|~rel_str(sk0_17)|transitive(the_InternalRel(sk0_17))),
% 3.18/0.78 inference(resolution,[status(thm)],[f334,f521])).
% 3.18/0.78 fof(f2555,plain,(
% 3.18/0.78 ~spl0_244|~spl0_275|~spl0_167|spl0_292),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2554,f2224,f2457,f1704,f2551])).
% 3.18/0.78 fof(f2556,plain,(
% 3.18/0.78 spl0_293 <=> transitive(the_InternalRel(sk0_16))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2559,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_16)|~transitive_relstr(sk0_16)|~rel_str(sk0_16)|transitive(the_InternalRel(sk0_16))),
% 3.18/0.78 inference(resolution,[status(thm)],[f334,f510])).
% 3.18/0.78 fof(f2560,plain,(
% 3.18/0.78 ~spl0_163|~spl0_166|~spl0_157|spl0_293),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2559,f1684,f1697,f1652,f2556])).
% 3.18/0.78 fof(f2561,plain,(
% 3.18/0.78 spl0_294 <=> transitive(the_InternalRel(sk0_12))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2564,plain,(
% 3.18/0.78 ~reflexive_relstr(sk0_12)|~transitive_relstr(sk0_12)|~rel_str(sk0_12)|transitive(the_InternalRel(sk0_12))),
% 3.18/0.78 inference(resolution,[status(thm)],[f334,f493])).
% 3.18/0.78 fof(f2565,plain,(
% 3.18/0.78 ~spl0_239|~spl0_278|~spl0_149|spl0_294),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2564,f2199,f2470,f1609,f2561])).
% 3.18/0.78 fof(f2568,plain,(
% 3.18/0.78 spl0_295 <=> v1_partfun1(the_InternalRel(sk0_22),the_carrier(sk0_22),the_carrier(sk0_22))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2571,plain,(
% 3.18/0.78 ~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))),
% 3.18/0.78 inference(resolution,[status(thm)],[f335,f546])).
% 3.18/0.78 fof(f2572,plain,(
% 3.18/0.78 ~spl0_247|~spl0_271|~spl0_175|spl0_295),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2571,f2239,f2441,f1746,f2568])).
% 3.18/0.78 fof(f2573,plain,(
% 3.18/0.78 spl0_296 <=> v1_partfun1(the_InternalRel(sk0_18),the_carrier(sk0_18),the_carrier(sk0_18))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2576,plain,(
% 3.18/0.78 ~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))),
% 3.18/0.78 inference(resolution,[status(thm)],[f335,f531])).
% 3.18/0.78 fof(f2577,plain,(
% 3.18/0.78 ~spl0_250|~spl0_273|~spl0_173|spl0_296),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2576,f2254,f2449,f1736,f2573])).
% 3.18/0.78 fof(f2578,plain,(
% 3.18/0.78 spl0_297 <=> v1_partfun1(the_InternalRel(sk0_17),the_carrier(sk0_17),the_carrier(sk0_17))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2581,plain,(
% 3.18/0.78 ~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))),
% 3.18/0.78 inference(resolution,[status(thm)],[f335,f521])).
% 3.18/0.78 fof(f2582,plain,(
% 3.18/0.78 ~spl0_244|~spl0_275|~spl0_167|spl0_297),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2581,f2224,f2457,f1704,f2578])).
% 3.18/0.78 fof(f2583,plain,(
% 3.18/0.78 spl0_298 <=> v1_partfun1(the_InternalRel(sk0_16),the_carrier(sk0_16),the_carrier(sk0_16))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2586,plain,(
% 3.18/0.78 ~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))),
% 3.18/0.78 inference(resolution,[status(thm)],[f335,f510])).
% 3.18/0.78 fof(f2587,plain,(
% 3.18/0.78 ~spl0_163|~spl0_166|~spl0_157|spl0_298),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2586,f1684,f1697,f1652,f2583])).
% 3.18/0.78 fof(f2588,plain,(
% 3.18/0.78 spl0_299 <=> v1_partfun1(the_InternalRel(sk0_12),the_carrier(sk0_12),the_carrier(sk0_12))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2591,plain,(
% 3.18/0.78 ~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))),
% 3.18/0.78 inference(resolution,[status(thm)],[f335,f493])).
% 3.18/0.78 fof(f2592,plain,(
% 3.18/0.78 ~spl0_239|~spl0_278|~spl0_149|spl0_299),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2591,f2199,f2470,f1609,f2588])).
% 3.18/0.78 fof(f2597,plain,(
% 3.18/0.78 ![X0]: (~element(the_InternalRel(boole_POSet(sk0_28)),powerset(X0))|element(ordered_pair(sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28)))),X0)|~spl0_270)),
% 3.18/0.78 inference(resolution,[status(thm)],[f2406,f621])).
% 3.18/0.78 fof(f2599,plain,(
% 3.18/0.78 element(ordered_pair(sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28)))),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_270),
% 3.18/0.78 inference(resolution,[status(thm)],[f2597,f1062])).
% 3.18/0.78 fof(f2603,plain,(
% 3.18/0.78 spl0_300 <=> in(ordered_pair(sk0_6(the_carrier(boole_POSet(sk0_28))),sk0_6(the_carrier(boole_POSet(sk0_28)))),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2606,plain,(
% 3.18/0.78 empty(cartesian_product2(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)))),cartesian_product2(the_carrier(boole_POSet(sk0_28)),the_carrier(boole_POSet(sk0_28))))|~spl0_270),
% 3.18/0.78 inference(resolution,[status(thm)],[f2599,f607])).
% 3.18/0.78 fof(f2607,plain,(
% 3.18/0.78 spl0_55|spl0_300|~spl0_270),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2606,f1073,f2603,f2405])).
% 3.18/0.78 fof(f2620,plain,(
% 3.18/0.78 spl0_301 <=> 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)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2623,plain,(
% 3.18/0.78 ~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_261),
% 3.18/0.78 inference(resolution,[status(thm)],[f2357,f213])).
% 3.18/0.78 fof(f2624,plain,(
% 3.18/0.78 ~spl0_202|~spl0_260|spl0_301|~spl0_261),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2623,f1893,f2353,f2620,f2356])).
% 3.18/0.78 fof(f2627,plain,(
% 3.18/0.78 spl0_302 <=> 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)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2630,plain,(
% 3.18/0.78 ~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),
% 3.18/0.78 inference(resolution,[status(thm)],[f2367,f213])).
% 3.18/0.78 fof(f2631,plain,(
% 3.18/0.78 ~spl0_132|~spl0_262|spl0_302|~spl0_263),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2630,f1504,f2363,f2627,f2366])).
% 3.18/0.78 fof(f2634,plain,(
% 3.18/0.78 spl0_303 <=> 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)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2637,plain,(
% 3.18/0.78 ~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),
% 3.18/0.78 inference(resolution,[status(thm)],[f2377,f213])).
% 3.18/0.78 fof(f2638,plain,(
% 3.18/0.78 ~spl0_104|~spl0_264|spl0_303|~spl0_265),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2637,f1348,f2373,f2634,f2376])).
% 3.18/0.78 fof(f2641,plain,(
% 3.18/0.78 spl0_304 <=> 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)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2644,plain,(
% 3.18/0.78 ~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),
% 3.18/0.78 inference(resolution,[status(thm)],[f2387,f213])).
% 3.18/0.78 fof(f2645,plain,(
% 3.18/0.78 ~spl0_76|~spl0_266|spl0_304|~spl0_267),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2644,f1192,f2383,f2641,f2386])).
% 3.18/0.78 fof(f2648,plain,(
% 3.18/0.78 spl0_305 <=> 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)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2651,plain,(
% 3.18/0.78 ~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),
% 3.18/0.78 inference(resolution,[status(thm)],[f2397,f213])).
% 3.18/0.78 fof(f2652,plain,(
% 3.18/0.78 ~spl0_37|~spl0_268|spl0_305|~spl0_269),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2651,f934,f2393,f2648,f2396])).
% 3.18/0.78 fof(f2794,plain,(
% 3.18/0.78 ~rel_str(poset_of_lattice(sk0_8))|~empty_carrier(poset_of_lattice(sk0_8))|~spl0_34),
% 3.18/0.78 inference(resolution,[status(thm)],[f920,f159])).
% 3.18/0.78 fof(f2795,plain,(
% 3.18/0.78 ~spl0_37|~spl0_231|~spl0_34),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2794,f934,f2149,f919])).
% 3.18/0.78 fof(f2798,plain,(
% 3.18/0.78 spl0_316 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_8)),the_carrier(poset_of_lattice(sk0_8)),the_carrier(poset_of_lattice(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2801,plain,(
% 3.18/0.78 ~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_38),
% 3.18/0.78 inference(resolution,[status(thm)],[f940,f335])).
% 3.18/0.78 fof(f2802,plain,(
% 3.18/0.78 ~spl0_40|~spl0_39|~spl0_37|spl0_316|~spl0_38),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2801,f949,f944,f934,f2798,f939])).
% 3.18/0.78 fof(f2803,plain,(
% 3.18/0.78 spl0_317 <=> transitive(the_InternalRel(poset_of_lattice(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2806,plain,(
% 3.18/0.78 ~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_38),
% 3.18/0.78 inference(resolution,[status(thm)],[f940,f334])).
% 3.18/0.78 fof(f2807,plain,(
% 3.18/0.78 ~spl0_40|~spl0_39|~spl0_37|spl0_317|~spl0_38),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2806,f949,f944,f934,f2803,f939])).
% 3.18/0.78 fof(f2808,plain,(
% 3.18/0.78 spl0_318 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2811,plain,(
% 3.18/0.78 ~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_38),
% 3.18/0.78 inference(resolution,[status(thm)],[f940,f333])).
% 3.18/0.78 fof(f2812,plain,(
% 3.18/0.78 ~spl0_40|~spl0_39|~spl0_37|spl0_318|~spl0_38),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2811,f949,f944,f934,f2808,f939])).
% 3.18/0.78 fof(f2813,plain,(
% 3.18/0.78 spl0_319 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2816,plain,(
% 3.18/0.78 ~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_38),
% 3.18/0.78 inference(resolution,[status(thm)],[f940,f332])).
% 3.18/0.78 fof(f2817,plain,(
% 3.18/0.78 ~spl0_40|~spl0_39|~spl0_37|spl0_319|~spl0_38),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2816,f949,f944,f934,f2813,f939])).
% 3.18/0.78 fof(f2818,plain,(
% 3.18/0.78 spl0_320 <=> relation(the_InternalRel(poset_of_lattice(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2821,plain,(
% 3.18/0.78 ~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_38),
% 3.18/0.78 inference(resolution,[status(thm)],[f940,f331])).
% 3.18/0.78 fof(f2822,plain,(
% 3.18/0.78 ~spl0_40|~spl0_39|~spl0_37|spl0_320|~spl0_38),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2821,f949,f944,f934,f2818,f939])).
% 3.18/0.78 fof(f2825,plain,(
% 3.18/0.78 spl0_321 <=> upper_bounded_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2826,plain,(
% 3.18/0.78 upper_bounded_relstr(poset_of_lattice(sk0_11))|~spl0_321),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2825])).
% 3.18/0.78 fof(f2828,plain,(
% 3.18/0.78 empty_carrier(sk0_11)|~lattice(sk0_11)|~latt_str(sk0_11)|upper_bounded_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.78 inference(resolution,[status(thm)],[f343,f483])).
% 3.18/0.78 fof(f2829,plain,(
% 3.18/0.78 spl0_118|~spl0_124|~spl0_116|spl0_321),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2828,f1434,f1452,f1424,f2825])).
% 3.18/0.78 fof(f2830,plain,(
% 3.18/0.78 spl0_322 <=> upper_bounded_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2831,plain,(
% 3.18/0.78 upper_bounded_relstr(poset_of_lattice(sk0_10))|~spl0_322),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2830])).
% 3.18/0.78 fof(f2833,plain,(
% 3.18/0.78 empty_carrier(sk0_10)|~lattice(sk0_10)|~latt_str(sk0_10)|upper_bounded_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.78 inference(resolution,[status(thm)],[f343,f467])).
% 3.18/0.78 fof(f2834,plain,(
% 3.18/0.78 spl0_90|~spl0_96|~spl0_88|spl0_322),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2833,f1278,f1296,f1268,f2830])).
% 3.18/0.78 fof(f2835,plain,(
% 3.18/0.78 spl0_323 <=> upper_bounded_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2836,plain,(
% 3.18/0.78 upper_bounded_relstr(poset_of_lattice(sk0_9))|~spl0_323),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2835])).
% 3.18/0.78 fof(f2838,plain,(
% 3.18/0.78 empty_carrier(sk0_9)|~lattice(sk0_9)|~latt_str(sk0_9)|upper_bounded_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.78 inference(resolution,[status(thm)],[f343,f453])).
% 3.18/0.78 fof(f2839,plain,(
% 3.18/0.78 spl0_62|~spl0_68|~spl0_60|spl0_323),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2838,f1122,f1140,f1112,f2835])).
% 3.18/0.78 fof(f2840,plain,(
% 3.18/0.78 spl0_324 <=> upper_bounded_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2841,plain,(
% 3.18/0.78 upper_bounded_relstr(poset_of_lattice(sk0_8))|~spl0_324),
% 3.18/0.78 inference(component_clause,[status(thm)],[f2840])).
% 3.18/0.78 fof(f2843,plain,(
% 3.18/0.78 empty_carrier(sk0_8)|~lattice(sk0_8)|~latt_str(sk0_8)|upper_bounded_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.78 inference(resolution,[status(thm)],[f343,f440])).
% 3.18/0.78 fof(f2844,plain,(
% 3.18/0.78 spl0_29|~spl0_51|~spl0_27|spl0_324),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2843,f896,f1008,f886,f2840])).
% 3.18/0.78 fof(f2845,plain,(
% 3.18/0.78 spl0_325 <=> poset_of_lattice(sk0_8)=rel_str_of(the_carrier(poset_of_lattice(sk0_8)),the_InternalRel(poset_of_lattice(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2848,plain,(
% 3.18/0.78 ~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_41),
% 3.18/0.78 inference(resolution,[status(thm)],[f955,f124])).
% 3.18/0.78 fof(f2849,plain,(
% 3.18/0.78 ~spl0_37|spl0_325|~spl0_41),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2848,f934,f2845,f954])).
% 3.18/0.78 fof(f2854,plain,(
% 3.18/0.78 spl0_326 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_9)),the_carrier(poset_of_lattice(sk0_9)),the_carrier(poset_of_lattice(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2857,plain,(
% 3.18/0.78 ~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_77),
% 3.18/0.78 inference(resolution,[status(thm)],[f1198,f335])).
% 3.18/0.78 fof(f2858,plain,(
% 3.18/0.78 ~spl0_79|~spl0_78|~spl0_76|spl0_326|~spl0_77),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2857,f1207,f1202,f1192,f2854,f1197])).
% 3.18/0.78 fof(f2859,plain,(
% 3.18/0.78 spl0_327 <=> transitive(the_InternalRel(poset_of_lattice(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2862,plain,(
% 3.18/0.78 ~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_77),
% 3.18/0.78 inference(resolution,[status(thm)],[f1198,f334])).
% 3.18/0.78 fof(f2863,plain,(
% 3.18/0.78 ~spl0_79|~spl0_78|~spl0_76|spl0_327|~spl0_77),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2862,f1207,f1202,f1192,f2859,f1197])).
% 3.18/0.78 fof(f2864,plain,(
% 3.18/0.78 spl0_328 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2867,plain,(
% 3.18/0.78 ~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_77),
% 3.18/0.78 inference(resolution,[status(thm)],[f1198,f333])).
% 3.18/0.78 fof(f2868,plain,(
% 3.18/0.78 ~spl0_79|~spl0_78|~spl0_76|spl0_328|~spl0_77),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2867,f1207,f1202,f1192,f2864,f1197])).
% 3.18/0.78 fof(f2869,plain,(
% 3.18/0.78 spl0_329 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2872,plain,(
% 3.18/0.78 ~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_77),
% 3.18/0.78 inference(resolution,[status(thm)],[f1198,f332])).
% 3.18/0.78 fof(f2873,plain,(
% 3.18/0.78 ~spl0_79|~spl0_78|~spl0_76|spl0_329|~spl0_77),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2872,f1207,f1202,f1192,f2869,f1197])).
% 3.18/0.78 fof(f2874,plain,(
% 3.18/0.78 spl0_330 <=> relation(the_InternalRel(poset_of_lattice(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2877,plain,(
% 3.18/0.78 ~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_77),
% 3.18/0.78 inference(resolution,[status(thm)],[f1198,f331])).
% 3.18/0.78 fof(f2878,plain,(
% 3.18/0.78 ~spl0_79|~spl0_78|~spl0_76|spl0_330|~spl0_77),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2877,f1207,f1202,f1192,f2874,f1197])).
% 3.18/0.78 fof(f2879,plain,(
% 3.18/0.78 spl0_331 <=> poset_of_lattice(sk0_9)=rel_str_of(the_carrier(poset_of_lattice(sk0_9)),the_InternalRel(poset_of_lattice(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2882,plain,(
% 3.18/0.78 ~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_80),
% 3.18/0.78 inference(resolution,[status(thm)],[f1213,f124])).
% 3.18/0.78 fof(f2883,plain,(
% 3.18/0.78 ~spl0_76|spl0_331|~spl0_80),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2882,f1192,f2879,f1212])).
% 3.18/0.78 fof(f2888,plain,(
% 3.18/0.78 spl0_332 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_10)),the_carrier(poset_of_lattice(sk0_10)),the_carrier(poset_of_lattice(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2891,plain,(
% 3.18/0.78 ~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_105),
% 3.18/0.78 inference(resolution,[status(thm)],[f1354,f335])).
% 3.18/0.78 fof(f2892,plain,(
% 3.18/0.78 ~spl0_107|~spl0_106|~spl0_104|spl0_332|~spl0_105),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2891,f1363,f1358,f1348,f2888,f1353])).
% 3.18/0.78 fof(f2893,plain,(
% 3.18/0.78 spl0_333 <=> transitive(the_InternalRel(poset_of_lattice(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2896,plain,(
% 3.18/0.78 ~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_105),
% 3.18/0.78 inference(resolution,[status(thm)],[f1354,f334])).
% 3.18/0.78 fof(f2897,plain,(
% 3.18/0.78 ~spl0_107|~spl0_106|~spl0_104|spl0_333|~spl0_105),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2896,f1363,f1358,f1348,f2893,f1353])).
% 3.18/0.78 fof(f2898,plain,(
% 3.18/0.78 spl0_334 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2901,plain,(
% 3.18/0.78 ~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_105),
% 3.18/0.78 inference(resolution,[status(thm)],[f1354,f333])).
% 3.18/0.78 fof(f2902,plain,(
% 3.18/0.78 ~spl0_107|~spl0_106|~spl0_104|spl0_334|~spl0_105),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2901,f1363,f1358,f1348,f2898,f1353])).
% 3.18/0.78 fof(f2903,plain,(
% 3.18/0.78 spl0_335 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2906,plain,(
% 3.18/0.78 ~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_105),
% 3.18/0.78 inference(resolution,[status(thm)],[f1354,f332])).
% 3.18/0.78 fof(f2907,plain,(
% 3.18/0.78 ~spl0_107|~spl0_106|~spl0_104|spl0_335|~spl0_105),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2906,f1363,f1358,f1348,f2903,f1353])).
% 3.18/0.78 fof(f2908,plain,(
% 3.18/0.78 spl0_336 <=> relation(the_InternalRel(poset_of_lattice(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2911,plain,(
% 3.18/0.78 ~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_105),
% 3.18/0.78 inference(resolution,[status(thm)],[f1354,f331])).
% 3.18/0.78 fof(f2912,plain,(
% 3.18/0.78 ~spl0_107|~spl0_106|~spl0_104|spl0_336|~spl0_105),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2911,f1363,f1358,f1348,f2908,f1353])).
% 3.18/0.78 fof(f2913,plain,(
% 3.18/0.78 spl0_337 <=> poset_of_lattice(sk0_10)=rel_str_of(the_carrier(poset_of_lattice(sk0_10)),the_InternalRel(poset_of_lattice(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2916,plain,(
% 3.18/0.78 ~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_108),
% 3.18/0.78 inference(resolution,[status(thm)],[f1369,f124])).
% 3.18/0.78 fof(f2917,plain,(
% 3.18/0.78 ~spl0_104|spl0_337|~spl0_108),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2916,f1348,f2913,f1368])).
% 3.18/0.78 fof(f2922,plain,(
% 3.18/0.78 spl0_338 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_11)),the_carrier(poset_of_lattice(sk0_11)),the_carrier(poset_of_lattice(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2925,plain,(
% 3.18/0.78 ~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_133),
% 3.18/0.78 inference(resolution,[status(thm)],[f1510,f335])).
% 3.18/0.78 fof(f2926,plain,(
% 3.18/0.78 ~spl0_135|~spl0_134|~spl0_132|spl0_338|~spl0_133),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2925,f1519,f1514,f1504,f2922,f1509])).
% 3.18/0.78 fof(f2927,plain,(
% 3.18/0.78 spl0_339 <=> transitive(the_InternalRel(poset_of_lattice(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2930,plain,(
% 3.18/0.78 ~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_133),
% 3.18/0.78 inference(resolution,[status(thm)],[f1510,f334])).
% 3.18/0.78 fof(f2931,plain,(
% 3.18/0.78 ~spl0_135|~spl0_134|~spl0_132|spl0_339|~spl0_133),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2930,f1519,f1514,f1504,f2927,f1509])).
% 3.18/0.78 fof(f2932,plain,(
% 3.18/0.78 spl0_340 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2935,plain,(
% 3.18/0.78 ~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_133),
% 3.18/0.78 inference(resolution,[status(thm)],[f1510,f333])).
% 3.18/0.78 fof(f2936,plain,(
% 3.18/0.78 ~spl0_135|~spl0_134|~spl0_132|spl0_340|~spl0_133),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2935,f1519,f1514,f1504,f2932,f1509])).
% 3.18/0.78 fof(f2937,plain,(
% 3.18/0.78 spl0_341 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2940,plain,(
% 3.18/0.78 ~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_133),
% 3.18/0.78 inference(resolution,[status(thm)],[f1510,f332])).
% 3.18/0.78 fof(f2941,plain,(
% 3.18/0.78 ~spl0_135|~spl0_134|~spl0_132|spl0_341|~spl0_133),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2940,f1519,f1514,f1504,f2937,f1509])).
% 3.18/0.78 fof(f2942,plain,(
% 3.18/0.78 spl0_342 <=> relation(the_InternalRel(poset_of_lattice(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2945,plain,(
% 3.18/0.78 ~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_133),
% 3.18/0.78 inference(resolution,[status(thm)],[f1510,f331])).
% 3.18/0.78 fof(f2946,plain,(
% 3.18/0.78 ~spl0_135|~spl0_134|~spl0_132|spl0_342|~spl0_133),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2945,f1519,f1514,f1504,f2942,f1509])).
% 3.18/0.78 fof(f2947,plain,(
% 3.18/0.78 spl0_343 <=> poset_of_lattice(sk0_11)=rel_str_of(the_carrier(poset_of_lattice(sk0_11)),the_InternalRel(poset_of_lattice(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2950,plain,(
% 3.18/0.78 ~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_136),
% 3.18/0.78 inference(resolution,[status(thm)],[f1525,f124])).
% 3.18/0.78 fof(f2951,plain,(
% 3.18/0.78 ~spl0_132|spl0_343|~spl0_136),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2950,f1504,f2947,f1524])).
% 3.18/0.78 fof(f2956,plain,(
% 3.18/0.78 spl0_344 <=> v1_partfun1(the_InternalRel(poset_of_lattice(sk0_27)),the_carrier(poset_of_lattice(sk0_27)),the_carrier(poset_of_lattice(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2959,plain,(
% 3.18/0.78 ~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_203),
% 3.18/0.78 inference(resolution,[status(thm)],[f1899,f335])).
% 3.18/0.78 fof(f2960,plain,(
% 3.18/0.78 ~spl0_205|~spl0_204|~spl0_202|spl0_344|~spl0_203),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2959,f1908,f1903,f1893,f2956,f1898])).
% 3.18/0.78 fof(f2961,plain,(
% 3.18/0.78 spl0_345 <=> transitive(the_InternalRel(poset_of_lattice(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2964,plain,(
% 3.18/0.78 ~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_203),
% 3.18/0.78 inference(resolution,[status(thm)],[f1899,f334])).
% 3.18/0.78 fof(f2965,plain,(
% 3.18/0.78 ~spl0_205|~spl0_204|~spl0_202|spl0_345|~spl0_203),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2964,f1908,f1903,f1893,f2961,f1898])).
% 3.18/0.78 fof(f2966,plain,(
% 3.18/0.78 spl0_346 <=> antisymmetric(the_InternalRel(poset_of_lattice(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2969,plain,(
% 3.18/0.78 ~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_203),
% 3.18/0.78 inference(resolution,[status(thm)],[f1899,f333])).
% 3.18/0.78 fof(f2970,plain,(
% 3.18/0.78 ~spl0_205|~spl0_204|~spl0_202|spl0_346|~spl0_203),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2969,f1908,f1903,f1893,f2966,f1898])).
% 3.18/0.78 fof(f2971,plain,(
% 3.18/0.78 spl0_347 <=> reflexive(the_InternalRel(poset_of_lattice(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2974,plain,(
% 3.18/0.78 ~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_203),
% 3.18/0.78 inference(resolution,[status(thm)],[f1899,f332])).
% 3.18/0.78 fof(f2975,plain,(
% 3.18/0.78 ~spl0_205|~spl0_204|~spl0_202|spl0_347|~spl0_203),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2974,f1908,f1903,f1893,f2971,f1898])).
% 3.18/0.78 fof(f2976,plain,(
% 3.18/0.78 spl0_348 <=> relation(the_InternalRel(poset_of_lattice(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2979,plain,(
% 3.18/0.78 ~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_203),
% 3.18/0.78 inference(resolution,[status(thm)],[f1899,f331])).
% 3.18/0.78 fof(f2980,plain,(
% 3.18/0.78 ~spl0_205|~spl0_204|~spl0_202|spl0_348|~spl0_203),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2979,f1908,f1903,f1893,f2976,f1898])).
% 3.18/0.78 fof(f2981,plain,(
% 3.18/0.78 spl0_349 <=> poset_of_lattice(sk0_27)=rel_str_of(the_carrier(poset_of_lattice(sk0_27)),the_InternalRel(poset_of_lattice(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2984,plain,(
% 3.18/0.78 ~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_206),
% 3.18/0.78 inference(resolution,[status(thm)],[f1914,f124])).
% 3.18/0.78 fof(f2985,plain,(
% 3.18/0.78 ~spl0_202|spl0_349|~spl0_206),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2984,f1893,f2981,f1913])).
% 3.18/0.78 fof(f2994,plain,(
% 3.18/0.78 spl0_350 <=> lower_bounded_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f2997,plain,(
% 3.18/0.78 empty_carrier(sk0_11)|~lattice(sk0_11)|~latt_str(sk0_11)|lower_bounded_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.78 inference(resolution,[status(thm)],[f378,f482])).
% 3.18/0.78 fof(f2998,plain,(
% 3.18/0.78 spl0_118|~spl0_124|~spl0_116|spl0_350),
% 3.18/0.78 inference(split_clause,[status(thm)],[f2997,f1434,f1452,f1424,f2994])).
% 3.18/0.78 fof(f2999,plain,(
% 3.18/0.78 spl0_351 <=> lower_bounded_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3002,plain,(
% 3.18/0.78 empty_carrier(sk0_10)|~lattice(sk0_10)|~latt_str(sk0_10)|lower_bounded_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.78 inference(resolution,[status(thm)],[f378,f466])).
% 3.18/0.78 fof(f3003,plain,(
% 3.18/0.78 spl0_90|~spl0_96|~spl0_88|spl0_351),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3002,f1278,f1296,f1268,f2999])).
% 3.18/0.78 fof(f3004,plain,(
% 3.18/0.78 spl0_352 <=> lower_bounded_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3007,plain,(
% 3.18/0.78 empty_carrier(sk0_9)|~lattice(sk0_9)|~latt_str(sk0_9)|lower_bounded_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.78 inference(resolution,[status(thm)],[f378,f452])).
% 3.18/0.78 fof(f3008,plain,(
% 3.18/0.78 spl0_62|~spl0_68|~spl0_60|spl0_352),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3007,f1122,f1140,f1112,f3004])).
% 3.18/0.78 fof(f3009,plain,(
% 3.18/0.78 spl0_353 <=> lower_bounded_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3012,plain,(
% 3.18/0.78 empty_carrier(sk0_8)|~lattice(sk0_8)|~latt_str(sk0_8)|lower_bounded_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.78 inference(resolution,[status(thm)],[f378,f439])).
% 3.18/0.78 fof(f3013,plain,(
% 3.18/0.78 spl0_29|~spl0_51|~spl0_27|spl0_353),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3012,f896,f1008,f886,f3009])).
% 3.18/0.78 fof(f3014,plain,(
% 3.18/0.78 spl0_354 <=> bounded_relstr(poset_of_lattice(sk0_8))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3017,plain,(
% 3.18/0.78 ~rel_str(poset_of_lattice(sk0_8))|~lower_bounded_relstr(poset_of_lattice(sk0_8))|bounded_relstr(poset_of_lattice(sk0_8))|~spl0_324),
% 3.18/0.78 inference(resolution,[status(thm)],[f2841,f190])).
% 3.18/0.78 fof(f3018,plain,(
% 3.18/0.78 ~spl0_37|~spl0_353|spl0_354|~spl0_324),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3017,f934,f3009,f3014,f2840])).
% 3.18/0.78 fof(f3019,plain,(
% 3.18/0.78 spl0_355 <=> bounded_relstr(poset_of_lattice(sk0_9))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3022,plain,(
% 3.18/0.78 ~rel_str(poset_of_lattice(sk0_9))|~lower_bounded_relstr(poset_of_lattice(sk0_9))|bounded_relstr(poset_of_lattice(sk0_9))|~spl0_323),
% 3.18/0.78 inference(resolution,[status(thm)],[f2836,f190])).
% 3.18/0.78 fof(f3023,plain,(
% 3.18/0.78 ~spl0_76|~spl0_352|spl0_355|~spl0_323),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3022,f1192,f3004,f3019,f2835])).
% 3.18/0.78 fof(f3024,plain,(
% 3.18/0.78 spl0_356 <=> bounded_relstr(poset_of_lattice(sk0_10))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3027,plain,(
% 3.18/0.78 ~rel_str(poset_of_lattice(sk0_10))|~lower_bounded_relstr(poset_of_lattice(sk0_10))|bounded_relstr(poset_of_lattice(sk0_10))|~spl0_322),
% 3.18/0.78 inference(resolution,[status(thm)],[f2831,f190])).
% 3.18/0.78 fof(f3028,plain,(
% 3.18/0.78 ~spl0_104|~spl0_351|spl0_356|~spl0_322),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3027,f1348,f2999,f3024,f2830])).
% 3.18/0.78 fof(f3029,plain,(
% 3.18/0.78 spl0_357 <=> bounded_relstr(poset_of_lattice(sk0_11))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3032,plain,(
% 3.18/0.78 ~rel_str(poset_of_lattice(sk0_11))|~lower_bounded_relstr(poset_of_lattice(sk0_11))|bounded_relstr(poset_of_lattice(sk0_11))|~spl0_321),
% 3.18/0.78 inference(resolution,[status(thm)],[f2826,f190])).
% 3.18/0.78 fof(f3033,plain,(
% 3.18/0.78 ~spl0_132|~spl0_350|spl0_357|~spl0_321),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3032,f1504,f2994,f3029,f2825])).
% 3.18/0.78 fof(f3143,plain,(
% 3.18/0.78 ![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)),
% 3.18/0.78 inference(resolution,[status(thm)],[f420,f1063])).
% 3.18/0.78 fof(f3144,plain,(
% 3.18/0.78 ![X0,X1,X2]: (~boole_POSet(X0)=rel_str_of(X1,X2)|the_carrier(boole_POSet(X0))=X1)),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f1054,f3143])).
% 3.18/0.78 fof(f3145,plain,(
% 3.18/0.78 ![X0]: (the_carrier(boole_POSet(X0))=the_carrier(boole_lattice(X0)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f3144,f1065])).
% 3.18/0.78 fof(f3154,plain,(
% 3.18/0.78 ![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)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3145,f209])).
% 3.18/0.78 fof(f3155,plain,(
% 3.18/0.78 ![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)),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3154,f281])).
% 3.18/0.78 fof(f3184,plain,(
% 3.18/0.78 spl0_365 <=> empty(powerset(empty_set))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3185,plain,(
% 3.18/0.78 empty(powerset(empty_set))|~spl0_365),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3184])).
% 3.18/0.78 fof(f3198,plain,(
% 3.18/0.78 $false|~spl0_365),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3185,f306])).
% 3.18/0.78 fof(f3199,plain,(
% 3.18/0.78 ~spl0_365),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3198])).
% 3.18/0.78 fof(f3201,plain,(
% 3.18/0.78 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_lattice(X0)))|~element(X2,the_carrier(boole_lattice(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f207,f633])).
% 3.18/0.78 fof(f3202,plain,(
% 3.18/0.78 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~lattice(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,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f3201])).
% 3.18/0.78 fof(f3203,plain,(
% 3.18/0.78 ![X0,X1,X2]: (empty_carrier(boole_lattice(X0))|~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f3202])).
% 3.18/0.78 fof(f3204,plain,(
% 3.18/0.78 ![X0,X1,X2]: (~lattice(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3203,f281])).
% 3.18/0.78 fof(f3301,plain,(
% 3.18/0.78 spl0_368 <=> element(sk0_25(poset_of_lattice(sk0_27)),powerset(the_carrier(poset_of_lattice(sk0_27))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3304,plain,(
% 3.18/0.78 empty_carrier(poset_of_lattice(sk0_27))|element(sk0_25(poset_of_lattice(sk0_27)),powerset(the_carrier(poset_of_lattice(sk0_27))))|~spl0_202),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f1949])).
% 3.18/0.78 fof(f3305,plain,(
% 3.18/0.78 spl0_223|spl0_368|~spl0_202),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3304,f2117,f3301,f1893])).
% 3.18/0.78 fof(f3306,plain,(
% 3.18/0.78 spl0_369 <=> element(sk0_25(poset_of_lattice(sk0_11)),powerset(the_carrier(poset_of_lattice(sk0_11))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3309,plain,(
% 3.18/0.78 empty_carrier(poset_of_lattice(sk0_11))|element(sk0_25(poset_of_lattice(sk0_11)),powerset(the_carrier(poset_of_lattice(sk0_11))))|~spl0_132),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f1560])).
% 3.18/0.78 fof(f3310,plain,(
% 3.18/0.78 spl0_225|spl0_369|~spl0_132),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3309,f2125,f3306,f1504])).
% 3.18/0.78 fof(f3311,plain,(
% 3.18/0.78 spl0_370 <=> element(sk0_25(poset_of_lattice(sk0_10)),powerset(the_carrier(poset_of_lattice(sk0_10))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3314,plain,(
% 3.18/0.78 empty_carrier(poset_of_lattice(sk0_10))|element(sk0_25(poset_of_lattice(sk0_10)),powerset(the_carrier(poset_of_lattice(sk0_10))))|~spl0_104),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f1404])).
% 3.18/0.78 fof(f3315,plain,(
% 3.18/0.78 spl0_227|spl0_370|~spl0_104),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3314,f2133,f3311,f1348])).
% 3.18/0.78 fof(f3316,plain,(
% 3.18/0.78 spl0_371 <=> element(sk0_25(poset_of_lattice(sk0_9)),powerset(the_carrier(poset_of_lattice(sk0_9))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3319,plain,(
% 3.18/0.78 empty_carrier(poset_of_lattice(sk0_9))|element(sk0_25(poset_of_lattice(sk0_9)),powerset(the_carrier(poset_of_lattice(sk0_9))))|~spl0_76),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f1248])).
% 3.18/0.78 fof(f3320,plain,(
% 3.18/0.78 spl0_229|spl0_371|~spl0_76),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3319,f2141,f3316,f1192])).
% 3.18/0.78 fof(f3321,plain,(
% 3.18/0.78 spl0_372 <=> element(sk0_25(poset_of_lattice(sk0_8)),powerset(the_carrier(poset_of_lattice(sk0_8))))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3324,plain,(
% 3.18/0.78 empty_carrier(poset_of_lattice(sk0_8))|element(sk0_25(poset_of_lattice(sk0_8)),powerset(the_carrier(poset_of_lattice(sk0_8))))|~spl0_37),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f1007])).
% 3.18/0.78 fof(f3325,plain,(
% 3.18/0.78 spl0_231|spl0_372|~spl0_37),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3324,f2149,f3321,f934])).
% 3.18/0.78 fof(f3329,plain,(
% 3.18/0.78 spl0_373 <=> element(sk0_25(sk0_27),powerset(the_carrier(sk0_27)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3332,plain,(
% 3.18/0.78 empty_carrier(sk0_27)|element(sk0_25(sk0_27),powerset(the_carrier(sk0_27)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f2085])).
% 3.18/0.78 fof(f3333,plain,(
% 3.18/0.78 spl0_188|spl0_373),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3332,f1823,f3329])).
% 3.18/0.78 fof(f3334,plain,(
% 3.18/0.78 spl0_374 <=> empty_carrier(sk0_26)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3335,plain,(
% 3.18/0.78 empty_carrier(sk0_26)|~spl0_374),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3334])).
% 3.18/0.78 fof(f3337,plain,(
% 3.18/0.78 spl0_375 <=> element(sk0_25(sk0_26),powerset(the_carrier(sk0_26)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3340,plain,(
% 3.18/0.78 empty_carrier(sk0_26)|element(sk0_25(sk0_26),powerset(the_carrier(sk0_26)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f2077])).
% 3.18/0.78 fof(f3341,plain,(
% 3.18/0.78 spl0_374|spl0_375),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3340,f3334,f3337])).
% 3.18/0.78 fof(f3350,plain,(
% 3.18/0.78 spl0_378 <=> element(sk0_25(sk0_11),powerset(the_carrier(sk0_11)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3353,plain,(
% 3.18/0.78 empty_carrier(sk0_11)|element(sk0_25(sk0_11),powerset(the_carrier(sk0_11)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f2009])).
% 3.18/0.78 fof(f3354,plain,(
% 3.18/0.78 spl0_118|spl0_378),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3353,f1434,f3350])).
% 3.18/0.78 fof(f3355,plain,(
% 3.18/0.78 spl0_379 <=> element(sk0_25(sk0_10),powerset(the_carrier(sk0_10)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3358,plain,(
% 3.18/0.78 empty_carrier(sk0_10)|element(sk0_25(sk0_10),powerset(the_carrier(sk0_10)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f2004])).
% 3.18/0.78 fof(f3359,plain,(
% 3.18/0.78 spl0_90|spl0_379),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3358,f1278,f3355])).
% 3.18/0.78 fof(f3360,plain,(
% 3.18/0.78 spl0_380 <=> element(sk0_25(sk0_9),powerset(the_carrier(sk0_9)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3363,plain,(
% 3.18/0.78 empty_carrier(sk0_9)|element(sk0_25(sk0_9),powerset(the_carrier(sk0_9)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f1999])).
% 3.18/0.78 fof(f3364,plain,(
% 3.18/0.78 spl0_62|spl0_380),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3363,f1122,f3360])).
% 3.18/0.78 fof(f3365,plain,(
% 3.18/0.78 spl0_381 <=> element(sk0_25(sk0_8),powerset(the_carrier(sk0_8)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3368,plain,(
% 3.18/0.78 empty_carrier(sk0_8)|element(sk0_25(sk0_8),powerset(the_carrier(sk0_8)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f1983])).
% 3.18/0.78 fof(f3369,plain,(
% 3.18/0.78 spl0_29|spl0_381),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3368,f896,f3365])).
% 3.18/0.78 fof(f3402,plain,(
% 3.18/0.78 spl0_390 <=> element(sk0_25(sk0_12),powerset(the_carrier(sk0_12)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3405,plain,(
% 3.18/0.78 empty_carrier(sk0_12)|element(sk0_25(sk0_12),powerset(the_carrier(sk0_12)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f688])).
% 3.18/0.78 fof(f3406,plain,(
% 3.18/0.78 spl0_151|spl0_390),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3405,f1619,f3402])).
% 3.18/0.78 fof(f3415,plain,(
% 3.18/0.78 spl0_393 <=> element(sk0_25(sk0_16),powerset(the_carrier(sk0_16)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3418,plain,(
% 3.18/0.78 empty_carrier(sk0_16)|element(sk0_25(sk0_16),powerset(the_carrier(sk0_16)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f686])).
% 3.18/0.78 fof(f3419,plain,(
% 3.18/0.78 spl0_159|spl0_393),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3418,f1662,f3415])).
% 3.18/0.78 fof(f3420,plain,(
% 3.18/0.78 spl0_394 <=> element(sk0_25(sk0_17),powerset(the_carrier(sk0_17)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3423,plain,(
% 3.18/0.78 empty_carrier(sk0_17)|element(sk0_25(sk0_17),powerset(the_carrier(sk0_17)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f685])).
% 3.18/0.78 fof(f3424,plain,(
% 3.18/0.78 spl0_169|spl0_394),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3423,f1714,f3420])).
% 3.18/0.78 fof(f3425,plain,(
% 3.18/0.78 spl0_395 <=> element(sk0_25(sk0_18),powerset(the_carrier(sk0_18)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3428,plain,(
% 3.18/0.78 empty_carrier(sk0_18)|element(sk0_25(sk0_18),powerset(the_carrier(sk0_18)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f684])).
% 3.18/0.78 fof(f3429,plain,(
% 3.18/0.78 spl0_234|spl0_395),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3428,f2162,f3425])).
% 3.18/0.78 fof(f3430,plain,(
% 3.18/0.78 spl0_396 <=> element(sk0_25(sk0_22),powerset(the_carrier(sk0_22)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3433,plain,(
% 3.18/0.78 empty_carrier(sk0_22)|element(sk0_25(sk0_22),powerset(the_carrier(sk0_22)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f683])).
% 3.18/0.78 fof(f3434,plain,(
% 3.18/0.78 spl0_176|spl0_396),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3433,f1749,f3430])).
% 3.18/0.78 fof(f3435,plain,(
% 3.18/0.78 spl0_397 <=> empty_carrier(sk0_24)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3436,plain,(
% 3.18/0.78 empty_carrier(sk0_24)|~spl0_397),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3435])).
% 3.18/0.78 fof(f3438,plain,(
% 3.18/0.78 spl0_398 <=> element(sk0_25(sk0_24),powerset(the_carrier(sk0_24)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3441,plain,(
% 3.18/0.78 empty_carrier(sk0_24)|element(sk0_25(sk0_24),powerset(the_carrier(sk0_24)))),
% 3.18/0.78 inference(resolution,[status(thm)],[f561,f557])).
% 3.18/0.78 fof(f3442,plain,(
% 3.18/0.78 spl0_397|spl0_398),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3441,f3435,f3438])).
% 3.18/0.78 fof(f3453,plain,(
% 3.18/0.78 $false|~spl0_397),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3436,f558])).
% 3.18/0.78 fof(f3454,plain,(
% 3.18/0.78 ~spl0_397),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3453])).
% 3.18/0.78 fof(f3455,plain,(
% 3.18/0.78 $false|~spl0_374),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3335,f565])).
% 3.18/0.78 fof(f3456,plain,(
% 3.18/0.78 ~spl0_374),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3455])).
% 3.18/0.78 fof(f3480,plain,(
% 3.18/0.78 ![X0,X1,X2]: (~element(X0,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_lattice(X1)))|~below(boole_lattice(X1),X0,X2)|subset(X0,X2))),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f604])).
% 3.18/0.78 fof(f3481,plain,(
% 3.18/0.78 ![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))),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f3480])).
% 3.18/0.78 fof(f3482,plain,(
% 3.18/0.78 ![X0,X1,X2]: (~element(X0,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_lattice(X1)))|below(boole_lattice(X1),X0,X2)|~subset(X0,X2))),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f605])).
% 3.18/0.78 fof(f3483,plain,(
% 3.18/0.78 ![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))),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f3482])).
% 3.18/0.78 fof(f3485,plain,(
% 3.18/0.78 ![X0]: (~element(X0,the_carrier(boole_POSet(sk0_28)))|below(boole_lattice(sk0_28),sk0_30,X0)|~subset(sk0_30,X0))),
% 3.18/0.78 inference(resolution,[status(thm)],[f3483,f612])).
% 3.18/0.78 fof(f3486,plain,(
% 3.18/0.78 ![X0]: (~element(X0,the_carrier(boole_POSet(sk0_28)))|below(boole_lattice(sk0_28),sk0_29,X0)|~subset(sk0_29,X0))),
% 3.18/0.78 inference(resolution,[status(thm)],[f3483,f611])).
% 3.18/0.78 fof(f3499,plain,(
% 3.18/0.78 spl0_408 <=> below(boole_lattice(sk0_28),sk0_30,sk0_30)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3500,plain,(
% 3.18/0.78 below(boole_lattice(sk0_28),sk0_30,sk0_30)|~spl0_408),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3499])).
% 3.18/0.78 fof(f3502,plain,(
% 3.18/0.78 spl0_409 <=> subset(sk0_30,sk0_30)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3504,plain,(
% 3.18/0.78 ~subset(sk0_30,sk0_30)|spl0_409),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3502])).
% 3.18/0.78 fof(f3505,plain,(
% 3.18/0.78 below(boole_lattice(sk0_28),sk0_30,sk0_30)|~subset(sk0_30,sk0_30)),
% 3.18/0.78 inference(resolution,[status(thm)],[f3485,f612])).
% 3.18/0.78 fof(f3506,plain,(
% 3.18/0.78 spl0_408|~spl0_409),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3505,f3499,f3502])).
% 3.18/0.78 fof(f3515,plain,(
% 3.18/0.78 $false|spl0_409),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3504,f593])).
% 3.18/0.78 fof(f3516,plain,(
% 3.18/0.78 spl0_409),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3515])).
% 3.18/0.78 fof(f3525,plain,(
% 3.18/0.78 spl0_414 <=> below(boole_lattice(sk0_28),sk0_29,sk0_30)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3526,plain,(
% 3.18/0.78 below(boole_lattice(sk0_28),sk0_29,sk0_30)|~spl0_414),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3525])).
% 3.18/0.78 fof(f3528,plain,(
% 3.18/0.78 below(boole_lattice(sk0_28),sk0_29,sk0_30)|~subset(sk0_29,sk0_30)),
% 3.18/0.78 inference(resolution,[status(thm)],[f3486,f612])).
% 3.18/0.78 fof(f3529,plain,(
% 3.18/0.78 spl0_414|~spl0_1),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3528,f3525,f640])).
% 3.18/0.78 fof(f3530,plain,(
% 3.18/0.78 spl0_415 <=> below(boole_lattice(sk0_28),sk0_29,sk0_29)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3531,plain,(
% 3.18/0.78 below(boole_lattice(sk0_28),sk0_29,sk0_29)|~spl0_415),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3530])).
% 3.18/0.78 fof(f3533,plain,(
% 3.18/0.78 spl0_416 <=> subset(sk0_29,sk0_29)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3535,plain,(
% 3.18/0.78 ~subset(sk0_29,sk0_29)|spl0_416),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3533])).
% 3.18/0.78 fof(f3536,plain,(
% 3.18/0.78 below(boole_lattice(sk0_28),sk0_29,sk0_29)|~subset(sk0_29,sk0_29)),
% 3.18/0.78 inference(resolution,[status(thm)],[f3486,f611])).
% 3.18/0.78 fof(f3537,plain,(
% 3.18/0.78 spl0_415|~spl0_416),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3536,f3530,f3533])).
% 3.18/0.78 fof(f3538,plain,(
% 3.18/0.78 $false|spl0_416),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3535,f593])).
% 3.18/0.78 fof(f3539,plain,(
% 3.18/0.78 spl0_416),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3538])).
% 3.18/0.78 fof(f3542,plain,(
% 3.18/0.78 spl0_417 <=> empty_carrier(boole_lattice(sk0_28))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3543,plain,(
% 3.18/0.78 empty_carrier(boole_lattice(sk0_28))|~spl0_417),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3542])).
% 3.18/0.78 fof(f3545,plain,(
% 3.18/0.78 spl0_418 <=> meet_commutative(boole_lattice(sk0_28))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3547,plain,(
% 3.18/0.78 ~meet_commutative(boole_lattice(sk0_28))|spl0_418),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3545])).
% 3.18/0.78 fof(f3548,plain,(
% 3.18/0.78 spl0_419 <=> meet_absorbing(boole_lattice(sk0_28))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3550,plain,(
% 3.18/0.78 ~meet_absorbing(boole_lattice(sk0_28))|spl0_419),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3548])).
% 3.18/0.78 fof(f3551,plain,(
% 3.18/0.78 spl0_420 <=> join_absorbing(boole_lattice(sk0_28))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3553,plain,(
% 3.18/0.78 ~join_absorbing(boole_lattice(sk0_28))|spl0_420),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3551])).
% 3.18/0.78 fof(f3554,plain,(
% 3.18/0.78 spl0_421 <=> latt_str(boole_lattice(sk0_28))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3556,plain,(
% 3.18/0.78 ~latt_str(boole_lattice(sk0_28))|spl0_421),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3554])).
% 3.18/0.78 fof(f3557,plain,(
% 3.18/0.78 spl0_422 <=> element(sk0_30,the_carrier(boole_lattice(sk0_28)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3559,plain,(
% 3.18/0.78 ~element(sk0_30,the_carrier(boole_lattice(sk0_28)))|spl0_422),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3557])).
% 3.18/0.78 fof(f3560,plain,(
% 3.18/0.78 spl0_423 <=> below_refl(boole_lattice(sk0_28),sk0_30,sk0_30)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3561,plain,(
% 3.18/0.78 below_refl(boole_lattice(sk0_28),sk0_30,sk0_30)|~spl0_423),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3560])).
% 3.18/0.78 fof(f3563,plain,(
% 3.18/0.78 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_refl(boole_lattice(sk0_28),sk0_30,sk0_30)|~spl0_408),
% 3.18/0.78 inference(resolution,[status(thm)],[f3500,f587])).
% 3.18/0.78 fof(f3564,plain,(
% 3.18/0.78 spl0_417|~spl0_418|~spl0_419|~spl0_420|~spl0_421|~spl0_422|spl0_423|~spl0_408),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3563,f3542,f3545,f3548,f3551,f3554,f3557,f3560,f3499])).
% 3.18/0.78 fof(f3565,plain,(
% 3.18/0.78 ~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|spl0_422),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f3559])).
% 3.18/0.78 fof(f3566,plain,(
% 3.18/0.78 $false|spl0_422),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3565,f612])).
% 3.18/0.78 fof(f3567,plain,(
% 3.18/0.78 spl0_422),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3566])).
% 3.18/0.78 fof(f3568,plain,(
% 3.18/0.78 $false|spl0_421),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3556,f223])).
% 3.18/0.78 fof(f3569,plain,(
% 3.18/0.78 spl0_421),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3568])).
% 3.18/0.78 fof(f3570,plain,(
% 3.18/0.78 $false|spl0_420),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3553,f759])).
% 3.18/0.78 fof(f3571,plain,(
% 3.18/0.78 spl0_420),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3570])).
% 3.18/0.78 fof(f3572,plain,(
% 3.18/0.78 $false|spl0_419),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3550,f756])).
% 3.18/0.78 fof(f3573,plain,(
% 3.18/0.78 spl0_419),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3572])).
% 3.18/0.78 fof(f3574,plain,(
% 3.18/0.78 $false|spl0_418),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3547,f750])).
% 3.18/0.78 fof(f3575,plain,(
% 3.18/0.78 spl0_418),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3574])).
% 3.18/0.78 fof(f3577,plain,(
% 3.18/0.78 $false|~spl0_417),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3543,f281])).
% 3.18/0.78 fof(f3578,plain,(
% 3.18/0.78 ~spl0_417),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3577])).
% 3.18/0.78 fof(f3579,plain,(
% 3.18/0.78 ~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|subset(sk0_29,sk0_30)|~spl0_414),
% 3.18/0.78 inference(resolution,[status(thm)],[f3526,f3481])).
% 3.18/0.78 fof(f3580,plain,(
% 3.18/0.78 ~spl0_22|~spl0_20|spl0_1|~spl0_414),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3579,f851,f843,f640,f3525])).
% 3.18/0.78 fof(f3581,plain,(
% 3.18/0.78 spl0_424 <=> element(sk0_29,the_carrier(boole_lattice(sk0_28)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3583,plain,(
% 3.18/0.78 ~element(sk0_29,the_carrier(boole_lattice(sk0_28)))|spl0_424),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3581])).
% 3.18/0.78 fof(f3584,plain,(
% 3.18/0.78 spl0_425 <=> below_refl(boole_lattice(sk0_28),sk0_29,sk0_30)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3585,plain,(
% 3.18/0.78 below_refl(boole_lattice(sk0_28),sk0_29,sk0_30)|~spl0_425),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3584])).
% 3.18/0.78 fof(f3587,plain,(
% 3.18/0.78 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_414),
% 3.18/0.78 inference(resolution,[status(thm)],[f3526,f587])).
% 3.18/0.78 fof(f3588,plain,(
% 3.18/0.78 spl0_417|~spl0_418|~spl0_419|~spl0_420|~spl0_421|~spl0_424|~spl0_422|spl0_425|~spl0_414),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3587,f3542,f3545,f3548,f3551,f3554,f3581,f3557,f3584,f3525])).
% 3.18/0.78 fof(f3589,plain,(
% 3.18/0.78 ~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|spl0_424),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3145,f3583])).
% 3.18/0.78 fof(f3590,plain,(
% 3.18/0.78 $false|spl0_424),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3589,f611])).
% 3.18/0.78 fof(f3591,plain,(
% 3.18/0.78 spl0_424),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3590])).
% 3.18/0.78 fof(f3595,plain,(
% 3.18/0.78 spl0_426 <=> below_refl(boole_lattice(sk0_28),sk0_29,sk0_29)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3596,plain,(
% 3.18/0.78 below_refl(boole_lattice(sk0_28),sk0_29,sk0_29)|~spl0_426),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3595])).
% 3.18/0.78 fof(f3598,plain,(
% 3.18/0.78 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_refl(boole_lattice(sk0_28),sk0_29,sk0_29)|~spl0_415),
% 3.18/0.78 inference(resolution,[status(thm)],[f3531,f587])).
% 3.18/0.78 fof(f3599,plain,(
% 3.18/0.78 spl0_417|~spl0_418|~spl0_419|~spl0_420|~spl0_421|~spl0_424|spl0_426|~spl0_415),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3598,f3542,f3545,f3548,f3551,f3554,f3581,f3595,f3530])).
% 3.18/0.78 fof(f3602,plain,(
% 3.18/0.78 spl0_427 <=> lattice(boole_lattice(sk0_28))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3604,plain,(
% 3.18/0.78 ~lattice(boole_lattice(sk0_28))|spl0_427),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3602])).
% 3.18/0.78 fof(f3605,plain,(
% 3.18/0.78 spl0_428 <=> 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))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3606,plain,(
% 3.18/0.78 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_428),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3605])).
% 3.18/0.78 fof(f3608,plain,(
% 3.18/0.78 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_423),
% 3.18/0.78 inference(resolution,[status(thm)],[f3561,f632])).
% 3.18/0.78 fof(f3609,plain,(
% 3.18/0.78 spl0_417|~spl0_427|~spl0_421|~spl0_422|spl0_428|~spl0_423),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3608,f3542,f3602,f3554,f3557,f3605,f3560])).
% 3.18/0.78 fof(f3610,plain,(
% 3.18/0.78 $false|spl0_427),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3604,f289])).
% 3.18/0.78 fof(f3611,plain,(
% 3.18/0.78 spl0_427),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3610])).
% 3.18/0.78 fof(f3612,plain,(
% 3.18/0.78 related_reflexive(boole_POSet(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_428),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f207,f3606])).
% 3.18/0.78 fof(f3613,plain,(
% 3.18/0.78 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_425),
% 3.18/0.78 inference(resolution,[status(thm)],[f3585,f586])).
% 3.18/0.78 fof(f3614,plain,(
% 3.18/0.78 spl0_417|~spl0_418|~spl0_419|~spl0_420|~spl0_421|~spl0_424|~spl0_422|spl0_414|~spl0_425),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3613,f3542,f3545,f3548,f3551,f3554,f3581,f3557,f3525,f3584])).
% 3.18/0.78 fof(f3615,plain,(
% 3.18/0.78 spl0_429 <=> 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))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3616,plain,(
% 3.18/0.78 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_429),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3615])).
% 3.18/0.78 fof(f3617,plain,(
% 3.18/0.78 ~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_429),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3615])).
% 3.18/0.78 fof(f3618,plain,(
% 3.18/0.78 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_425),
% 3.18/0.78 inference(resolution,[status(thm)],[f3585,f632])).
% 3.18/0.78 fof(f3619,plain,(
% 3.18/0.78 spl0_417|~spl0_427|~spl0_421|~spl0_424|~spl0_422|spl0_429|~spl0_425),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3618,f3542,f3602,f3554,f3581,f3557,f3615,f3584])).
% 3.18/0.78 fof(f3620,plain,(
% 3.18/0.78 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_429),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f207,f3616])).
% 3.18/0.78 fof(f3623,plain,(
% 3.18/0.78 spl0_430 <=> 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))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3624,plain,(
% 3.18/0.78 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_430),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3623])).
% 3.18/0.78 fof(f3626,plain,(
% 3.18/0.78 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_426),
% 3.18/0.78 inference(resolution,[status(thm)],[f3596,f632])).
% 3.18/0.78 fof(f3627,plain,(
% 3.18/0.78 spl0_417|~spl0_427|~spl0_421|~spl0_424|spl0_430|~spl0_426),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3626,f3542,f3602,f3554,f3581,f3623,f3595])).
% 3.18/0.78 fof(f3628,plain,(
% 3.18/0.78 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_29))|~spl0_430),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f207,f3624])).
% 3.18/0.78 fof(f3629,plain,(
% 3.18/0.78 spl0_431 <=> element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3631,plain,(
% 3.18/0.78 ~element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),the_carrier(boole_POSet(sk0_28)))|spl0_431),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3629])).
% 3.18/0.78 fof(f3632,plain,(
% 3.18/0.78 spl0_432 <=> related(boole_POSet(sk0_28),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3635,plain,(
% 3.18/0.78 empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|~element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),the_carrier(boole_POSet(sk0_28)))|~element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30),the_carrier(boole_POSet(sk0_28)))|related(boole_POSet(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_428),
% 3.18/0.78 inference(resolution,[status(thm)],[f3612,f590])).
% 3.18/0.78 fof(f3636,plain,(
% 3.18/0.78 spl0_2|~spl0_3|~spl0_4|~spl0_431|spl0_432|~spl0_428),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3635,f647,f650,f653,f3629,f3632,f3605])).
% 3.18/0.78 fof(f3637,plain,(
% 3.18/0.78 spl0_433 <=> element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),the_carrier(boole_POSet(sk0_28)))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3639,plain,(
% 3.18/0.78 ~element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),the_carrier(boole_POSet(sk0_28)))|spl0_433),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3637])).
% 3.18/0.78 fof(f3645,plain,(
% 3.18/0.78 spl0_435 <=> related(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_29))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3648,plain,(
% 3.18/0.78 empty_carrier(boole_POSet(sk0_28))|~reflexive_relstr(boole_POSet(sk0_28))|~rel_str(boole_POSet(sk0_28))|~element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),the_carrier(boole_POSet(sk0_28)))|~element(cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),the_carrier(boole_POSet(sk0_28)))|related(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_29))|~spl0_430),
% 3.18/0.78 inference(resolution,[status(thm)],[f3628,f590])).
% 3.18/0.78 fof(f3649,plain,(
% 3.18/0.78 spl0_2|~spl0_3|~spl0_4|~spl0_433|spl0_435|~spl0_430),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3648,f647,f650,f653,f3637,f3645,f3623])).
% 3.18/0.78 fof(f3675,plain,(
% 3.18/0.78 ![X0,X1,X2]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|~element(X2,the_carrier(boole_POSet(X0)))|below_refl(boole_lattice(X0),X1,X2)|~related_reflexive(boole_POSet(X0),cast_to_el_of_LattPOSet(boole_lattice(X0),X1),cast_to_el_of_LattPOSet(boole_lattice(X0),X2)))),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3204,f289])).
% 3.18/0.78 fof(f3678,plain,(
% 3.18/0.78 ~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_29,sk0_30)|~spl0_429),
% 3.18/0.78 inference(resolution,[status(thm)],[f3675,f3620])).
% 3.18/0.78 fof(f3679,plain,(
% 3.18/0.78 ~spl0_421|~spl0_22|~spl0_20|spl0_425|~spl0_429),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3678,f3554,f851,f843,f3584,f3615])).
% 3.18/0.78 fof(f3703,plain,(
% 3.18/0.78 ![X0,X1]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(boole_POSet(X0)))|cast_to_el_of_LattPOSet(boole_lattice(X0),X1)=X1)),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3155,f289])).
% 3.18/0.78 fof(f3706,plain,(
% 3.18/0.78 spl0_436 <=> cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30)=sk0_30),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3707,plain,(
% 3.18/0.78 cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30)=sk0_30|~spl0_436),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3706])).
% 3.18/0.78 fof(f3709,plain,(
% 3.18/0.78 ~latt_str(boole_lattice(sk0_28))|cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30)=sk0_30),
% 3.18/0.78 inference(resolution,[status(thm)],[f3703,f612])).
% 3.18/0.78 fof(f3710,plain,(
% 3.18/0.78 ~spl0_421|spl0_436),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3709,f3554,f3706])).
% 3.18/0.78 fof(f3711,plain,(
% 3.18/0.78 spl0_437 <=> cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29)=sk0_29),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3712,plain,(
% 3.18/0.78 cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29)=sk0_29|~spl0_437),
% 3.18/0.78 inference(component_clause,[status(thm)],[f3711])).
% 3.18/0.78 fof(f3714,plain,(
% 3.18/0.78 ~latt_str(boole_lattice(sk0_28))|cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29)=sk0_29),
% 3.18/0.78 inference(resolution,[status(thm)],[f3703,f611])).
% 3.18/0.78 fof(f3715,plain,(
% 3.18/0.78 ~spl0_421|spl0_437),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3714,f3554,f3711])).
% 3.18/0.78 fof(f3716,plain,(
% 3.18/0.78 ~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|~spl0_436|spl0_431),
% 3.18/0.78 inference(backward_demodulation,[status(thm)],[f3707,f3631])).
% 3.18/0.78 fof(f3717,plain,(
% 3.18/0.78 ~spl0_20|~spl0_436|spl0_431),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3716,f843,f3706,f3629])).
% 3.18/0.78 fof(f3718,plain,(
% 3.18/0.78 related_reflexive(boole_POSet(sk0_28),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_29),sk0_30)|~spl0_436|~spl0_429),
% 3.18/0.78 inference(backward_demodulation,[status(thm)],[f3707,f3620])).
% 3.18/0.78 fof(f3720,plain,(
% 3.18/0.78 spl0_438 <=> ~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_30)|~related_reflexive(boole_POSet(sk0_28),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_30)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3723,plain,(
% 3.18/0.78 ![X0]: (~latt_str(boole_lattice(sk0_28))|~element(X0,the_carrier(boole_POSet(sk0_28)))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_30)|~related_reflexive(boole_POSet(sk0_28),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_30)|~spl0_436)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3707,f3675])).
% 3.18/0.78 fof(f3724,plain,(
% 3.18/0.78 ~spl0_421|spl0_438|~spl0_20|~spl0_436),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3723,f3554,f3720,f843,f3706])).
% 3.18/0.78 fof(f3725,plain,(
% 3.18/0.78 spl0_439 <=> ~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_30,X0)|~related_reflexive(boole_POSet(sk0_28),sk0_30,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3728,plain,(
% 3.18/0.78 ![X0]: (~latt_str(boole_lattice(sk0_28))|~element(sk0_30,the_carrier(boole_POSet(sk0_28)))|~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),sk0_30,X0)|~related_reflexive(boole_POSet(sk0_28),sk0_30,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0))|~spl0_436)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3707,f3675])).
% 3.18/0.78 fof(f3729,plain,(
% 3.18/0.78 ~spl0_421|~spl0_20|spl0_439|~spl0_436),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3728,f3554,f843,f3725,f3706])).
% 3.18/0.78 fof(f3730,plain,(
% 3.18/0.78 spl0_440 <=> ~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)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3733,plain,(
% 3.18/0.78 ![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_436)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3707,f633])).
% 3.18/0.78 fof(f3734,plain,(
% 3.18/0.78 spl0_417|~spl0_427|~spl0_421|spl0_440|~spl0_422|~spl0_436),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3733,f3542,f3602,f3554,f3730,f3557,f3706])).
% 3.18/0.78 fof(f3735,plain,(
% 3.18/0.78 spl0_441 <=> ~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))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3738,plain,(
% 3.18/0.78 ![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_436)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3707,f633])).
% 3.18/0.78 fof(f3739,plain,(
% 3.18/0.78 spl0_417|~spl0_427|~spl0_421|~spl0_422|spl0_441|~spl0_436),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3738,f3542,f3602,f3554,f3557,f3735,f3706])).
% 3.18/0.78 fof(f3746,plain,(
% 3.18/0.78 ~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|~spl0_437|spl0_433),
% 3.18/0.78 inference(backward_demodulation,[status(thm)],[f3712,f3639])).
% 3.18/0.78 fof(f3747,plain,(
% 3.18/0.78 ~spl0_22|~spl0_437|spl0_433),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3746,f851,f3711,f3637])).
% 3.18/0.78 fof(f3749,plain,(
% 3.18/0.78 spl0_442 <=> ~element(X0,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_29)|~related_reflexive(boole_POSet(sk0_28),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_29)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3752,plain,(
% 3.18/0.78 ![X0]: (~latt_str(boole_lattice(sk0_28))|~element(X0,the_carrier(boole_POSet(sk0_28)))|~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|below_refl(boole_lattice(sk0_28),X0,sk0_29)|~related_reflexive(boole_POSet(sk0_28),cast_to_el_of_LattPOSet(boole_lattice(sk0_28),X0),sk0_29)|~spl0_437)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3712,f3675])).
% 3.18/0.78 fof(f3753,plain,(
% 3.18/0.78 ~spl0_421|spl0_442|~spl0_22|~spl0_437),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3752,f3554,f3749,f851,f3711])).
% 3.18/0.78 fof(f3754,plain,(
% 3.18/0.78 spl0_443 <=> ~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))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3757,plain,(
% 3.18/0.78 ![X0]: (~latt_str(boole_lattice(sk0_28))|~element(sk0_29,the_carrier(boole_POSet(sk0_28)))|~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_437)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3712,f3675])).
% 3.18/0.78 fof(f3758,plain,(
% 3.18/0.78 ~spl0_421|~spl0_22|spl0_443|~spl0_437),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3757,f3554,f851,f3754,f3711])).
% 3.18/0.78 fof(f3759,plain,(
% 3.18/0.78 spl0_444 <=> ~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)),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3762,plain,(
% 3.18/0.78 ![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_437)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3712,f633])).
% 3.18/0.78 fof(f3763,plain,(
% 3.18/0.78 spl0_417|~spl0_427|~spl0_421|spl0_444|~spl0_424|~spl0_437),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3762,f3542,f3602,f3554,f3759,f3581,f3711])).
% 3.18/0.78 fof(f3764,plain,(
% 3.18/0.78 spl0_445 <=> ~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))),
% 3.18/0.78 introduced(split_symbol_definition)).
% 3.18/0.78 fof(f3767,plain,(
% 3.18/0.78 ![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_437)),
% 3.18/0.78 inference(paramodulation,[status(thm)],[f3712,f633])).
% 3.18/0.78 fof(f3768,plain,(
% 3.18/0.78 spl0_417|~spl0_427|~spl0_421|~spl0_424|spl0_445|~spl0_437),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3767,f3542,f3602,f3554,f3581,f3764,f3711])).
% 3.18/0.78 fof(f3775,plain,(
% 3.18/0.78 ~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_429),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f207,f3617])).
% 3.18/0.78 fof(f3776,plain,(
% 3.18/0.78 ~related_reflexive(boole_POSet(sk0_28),sk0_29,cast_to_el_of_LattPOSet(boole_lattice(sk0_28),sk0_30))|~spl0_437|spl0_429),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3712,f3775])).
% 3.18/0.78 fof(f3777,plain,(
% 3.18/0.78 ~related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_436|~spl0_437|spl0_429),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3707,f3776])).
% 3.18/0.78 fof(f3780,plain,(
% 3.18/0.78 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_30,the_carrier(boole_POSet(sk0_28)))|related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_24),
% 3.18/0.78 inference(resolution,[status(thm)],[f860,f591])).
% 3.18/0.78 fof(f3781,plain,(
% 3.18/0.78 spl0_2|~spl0_3|~spl0_4|~spl0_22|~spl0_20|spl0_0|~spl0_24),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3780,f647,f650,f653,f851,f843,f637,f859])).
% 3.18/0.78 fof(f3787,plain,(
% 3.18/0.78 $false|~spl0_0|~spl0_436|~spl0_437|spl0_429),
% 3.18/0.78 inference(forward_subsumption_resolution,[status(thm)],[f3777,f638])).
% 3.18/0.78 fof(f3788,plain,(
% 3.18/0.78 ~spl0_0|~spl0_436|~spl0_437|spl0_429),
% 3.18/0.78 inference(contradiction_clause,[status(thm)],[f3787])).
% 3.18/0.78 fof(f3793,plain,(
% 3.18/0.78 related_reflexive(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_437|~spl0_436|~spl0_429),
% 3.18/0.78 inference(forward_demodulation,[status(thm)],[f3712,f3718])).
% 3.18/0.78 fof(f3799,plain,(
% 3.18/0.78 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_30,the_carrier(boole_POSet(sk0_28)))|related(boole_POSet(sk0_28),sk0_29,sk0_30)|~spl0_437|~spl0_436|~spl0_429),
% 3.18/0.78 inference(resolution,[status(thm)],[f3793,f590])).
% 3.18/0.78 fof(f3800,plain,(
% 3.18/0.78 spl0_2|~spl0_3|~spl0_4|~spl0_22|~spl0_20|spl0_24|~spl0_437|~spl0_436|~spl0_429),
% 3.18/0.78 inference(split_clause,[status(thm)],[f3799,f647,f650,f653,f851,f843,f859,f3711,f3706,f3615])).
% 3.18/0.78 fof(f3801,plain,(
% 3.18/0.78 $false),
% 3.18/0.78 inference(sat_refutation,[status(thm)],[f643,f644,f663,f668,f670,f672,f674,f682,f850,f858,f865,f867,f879,f883,f893,f895,f903,f908,f913,f918,f923,f928,f933,f938,f943,f948,f953,f958,f963,f968,f973,f978,f983,f988,f993,f998,f1003,f1005,f1012,f1025,f1032,f1080,f1082,f1087,f1107,f1109,f1119,f1121,f1144,f1146,f1148,f1150,f1152,f1154,f1156,f1161,f1166,f1171,f1176,f1181,f1186,f1191,f1196,f1201,f1206,f1211,f1216,f1221,f1226,f1231,f1236,f1256,f1258,f1263,f1275,f1277,f1300,f1302,f1304,f1306,f1308,f1310,f1312,f1317,f1322,f1327,f1332,f1337,f1342,f1347,f1352,f1357,f1362,f1367,f1372,f1377,f1382,f1387,f1392,f1412,f1414,f1419,f1431,f1433,f1456,f1458,f1460,f1462,f1464,f1466,f1468,f1473,f1478,f1483,f1488,f1493,f1498,f1503,f1508,f1513,f1518,f1523,f1528,f1533,f1538,f1543,f1548,f1570,f1583,f1593,f1595,f1600,f1602,f1616,f1618,f1626,f1631,f1636,f1638,f1646,f1648,f1659,f1661,f1666,f1673,f1678,f1683,f1691,f1696,f1701,f1703,f1711,f1713,f1718,f1725,f1730,f1735,f1743,f1745,f1753,f1755,f1762,f1767,f1772,f1779,f1784,f1796,f1798,f1808,f1810,f1820,f1822,f1845,f1847,f1849,f1851,f1853,f1855,f1857,f1862,f1867,f1872,f1877,f1882,f1887,f1892,f1897,f1902,f1907,f1912,f1917,f1922,f1927,f1932,f1937,f1954,f1959,f1990,f2018,f2023,f2050,f2055,f2060,f2065,f2114,f2124,f2132,f2140,f2148,f2156,f2161,f2169,f2174,f2179,f2184,f2188,f2190,f2192,f2194,f2196,f2209,f2211,f2213,f2221,f2223,f2234,f2236,f2238,f2249,f2251,f2253,f2264,f2266,f2268,f2275,f2282,f2289,f2296,f2303,f2346,f2348,f2360,f2362,f2370,f2372,f2380,f2382,f2390,f2392,f2400,f2402,f2409,f2448,f2456,f2464,f2469,f2477,f2480,f2482,f2484,f2486,f2491,f2496,f2501,f2506,f2511,f2518,f2523,f2528,f2533,f2538,f2545,f2550,f2555,f2560,f2565,f2572,f2577,f2582,f2587,f2592,f2607,f2624,f2631,f2638,f2645,f2652,f2795,f2802,f2807,f2812,f2817,f2822,f2829,f2834,f2839,f2844,f2849,f2858,f2863,f2868,f2873,f2878,f2883,f2892,f2897,f2902,f2907,f2912,f2917,f2926,f2931,f2936,f2941,f2946,f2951,f2960,f2965,f2970,f2975,f2980,f2985,f2998,f3003,f3008,f3013,f3018,f3023,f3028,f3033,f3199,f3305,f3310,f3315,f3320,f3325,f3333,f3341,f3354,f3359,f3364,f3369,f3406,f3419,f3424,f3429,f3434,f3442,f3454,f3456,f3506,f3516,f3529,f3537,f3539,f3564,f3567,f3569,f3571,f3573,f3575,f3578,f3580,f3588,f3591,f3599,f3609,f3611,f3614,f3619,f3627,f3636,f3649,f3679,f3710,f3715,f3717,f3724,f3729,f3734,f3739,f3747,f3753,f3758,f3763,f3768,f3781,f3788,f3800])).
% 3.18/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 3.18/0.79 % Elapsed time: 0.458924 seconds
% 3.18/0.79 % CPU time: 3.336632 seconds
% 3.18/0.79 % Total memory used: 118.272 MB
% 3.18/0.79 % Net memory used: 116.829 MB
%------------------------------------------------------------------------------