0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.03/0.23 % Computer : n165.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:29:10 CDT 2018 0.03/0.23 % CPUTime : 0.06/0.51 ============================== Prover9 =============================== 0.06/0.51 Prover9 (32) version 2009-11A, November 2009. 0.06/0.51 Process 47344 was started by sandbox2 on n165.star.cs.uiowa.edu, 0.06/0.51 Sat Jul 14 04:29:10 2018 0.06/0.51 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_47207_n165.star.cs.uiowa.edu". 0.06/0.51 ============================== end of head =========================== 0.06/0.51 0.06/0.51 ============================== INPUT ================================= 0.06/0.51 0.06/0.51 % Reading from file /tmp/Prover9_47207_n165.star.cs.uiowa.edu 0.06/0.51 0.06/0.51 set(prolog_style_variables). 0.06/0.51 set(auto2). 0.06/0.51 % set(auto2) -> set(auto). 0.06/0.51 % set(auto) -> set(auto_inference). 0.06/0.51 % set(auto) -> set(auto_setup). 0.06/0.51 % set(auto_setup) -> set(predicate_elim). 0.06/0.51 % set(auto_setup) -> assign(eq_defs, unfold). 0.06/0.51 % set(auto) -> set(auto_limits). 0.06/0.51 % set(auto_limits) -> assign(max_weight, "100.000"). 0.06/0.51 % set(auto_limits) -> assign(sos_limit, 20000). 0.06/0.51 % set(auto) -> set(auto_denials). 0.06/0.51 % set(auto) -> set(auto_process). 0.06/0.51 % set(auto2) -> assign(new_constants, 1). 0.06/0.51 % set(auto2) -> assign(fold_denial_max, 3). 0.06/0.51 % set(auto2) -> assign(max_weight, "200.000"). 0.06/0.51 % set(auto2) -> assign(max_hours, 1). 0.06/0.51 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.06/0.51 % set(auto2) -> assign(max_seconds, 0). 0.06/0.51 % set(auto2) -> assign(max_minutes, 5). 0.06/0.51 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.06/0.51 % set(auto2) -> set(sort_initial_sos). 0.06/0.51 % set(auto2) -> assign(sos_limit, -1). 0.06/0.51 % set(auto2) -> assign(lrs_ticks, 3000). 0.06/0.51 % set(auto2) -> assign(max_megs, 400). 0.06/0.51 % set(auto2) -> assign(stats, some). 0.06/0.51 % set(auto2) -> clear(echo_input). 0.06/0.51 % set(auto2) -> set(quiet). 0.06/0.51 % set(auto2) -> clear(print_initial_clauses). 0.06/0.51 % set(auto2) -> clear(print_given). 0.06/0.51 assign(lrs_ticks,-1). 0.06/0.51 assign(sos_limit,10000). 0.06/0.51 assign(order,kbo). 0.06/0.51 set(lex_order_vars). 0.06/0.51 clear(print_given). 0.06/0.51 0.06/0.51 % formulas(sos). % not echoed (89 formulas) 0.06/0.51 0.06/0.51 ============================== end of input ========================== 0.06/0.51 0.06/0.51 % From the command line: assign(max_seconds, 300). 0.06/0.51 0.06/0.51 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.06/0.51 0.06/0.51 % Formulas that are not ordinary clauses: 0.06/0.51 1 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 2 (all A all B all C -(element(B,powerset(C)) & empty(C) & in(A,B))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 3 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 4 (exists A (-empty_carrier(A) & strict_rel_str(A) & transitive_relstr(A) & -v1_yellow_3(A) & antisymmetric_relstr(A) & reflexive_relstr(A) & rel_str(A))) # label(rc1_yellow_3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 5 (all A all B (-empty(B) & -empty(A) -> -empty(cartesian_product2(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 6 (all A relation(inclusion_relation(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 7 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 8 (all A (strict_rel_str(incl_POSet(A)) & reflexive_relstr(incl_POSet(A)) & antisymmetric_relstr(incl_POSet(A)) & transitive_relstr(incl_POSet(A)))) # label(fc5_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 9 (exists A (-empty_carrier(A) & strict_rel_str(A) & reflexive_relstr(A) & transitive_relstr(A) & with_suprema_relstr(A) & complete_relstr(A) & lower_bounded_relstr(A) & upper_bounded_relstr(A) & up_complete_relstr(A) & join_complete_relstr(A) & bounded_relstr(A) & with_infima_relstr(A) & antisymmetric_relstr(A) & rel_str(A))) # label(rc13_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 10 (all A (rel_str(A) -> (-empty_carrier(A) & heyting_relstr(A) -> -empty_carrier(A) & upper_bounded_relstr(A)))) # label(cc7_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 11 (all A (rel_str(A) -> one_sorted_str(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 12 (all A (rel_str(A) -> (boolean_relstr(A) & -empty_carrier(A) -> reflexive_relstr(A) & antisymmetric_relstr(A) & with_suprema_relstr(A) & lower_bounded_relstr(A) & upper_bounded_relstr(A) & complemented_relstr(A) & distributive_relstr(A) & bounded_relstr(A) & with_infima_relstr(A) & transitive_relstr(A) & -empty_carrier(A)))) # label(cc8_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 13 (exists A (-empty_carrier(A) & with_suprema_relstr(A) & lower_bounded_relstr(A) & heyting_relstr(A) & boolean_relstr(A) & complemented_relstr(A) & distributive_relstr(A) & bounded_relstr(A) & upper_bounded_relstr(A) & with_infima_relstr(A) & antisymmetric_relstr(A) & transitive_relstr(A) & reflexive_relstr(A) & strict_rel_str(A) & rel_str(A))) # label(rc4_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 14 (all A (empty(A) -> empty_set = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 15 (all A all B (finite(B) & finite(A) -> finite(cartesian_product2(A,B)))) # label(fc14_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 16 (all A (rel_str(A) -> (heyting_relstr(A) & -empty_carrier(A) -> -empty_carrier(A) & distributive_relstr(A)))) # label(cc6_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 17 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 18 (all A (rel_str(A) -> (-empty_carrier(A) & complete_relstr(A) -> bounded_relstr(A) & -empty_carrier(A)))) # label(cc3_yellow_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 19 (exists A (-empty(A) & finite(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 20 (exists A (one_sorted_str(A) & -empty_carrier(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 21 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 22 (all A (rel_str(A) -> (transitive_relstr(A) & antisymmetric_relstr(A) & with_suprema_relstr(A) & bounded_relstr(A) & complemented_relstr(A) & distributive_relstr(A) & with_infima_relstr(A) & reflexive_relstr(A) & -empty_carrier(A) -> reflexive_relstr(A) & transitive_relstr(A) & with_suprema_relstr(A) & bounded_relstr(A) & distributive_relstr(A) & complemented_relstr(A) & boolean_relstr(A) & upper_bounded_relstr(A) & lower_bounded_relstr(A) & with_infima_relstr(A) & antisymmetric_relstr(A) & -empty_carrier(A)))) # label(cc9_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 23 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 24 (all A (-empty(A) -> (exists B (finite(B) & -empty(B) & element(B,powerset(A)))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 25 (all A (rel_str(A) -> (with_suprema_relstr(A) -> -empty_carrier(A)))) # label(cc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 26 (all A (empty(A) -> finite(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 27 (all A (rel_str(A) -> (heyting_relstr(A) & -empty_carrier(A) -> -empty_carrier(A) & transitive_relstr(A) & with_infima_relstr(A) & with_suprema_relstr(A) & antisymmetric_relstr(A) & reflexive_relstr(A)))) # label(cc5_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 28 (all A (rel_str(A) -> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))) # label(dt_u1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 29 (all A incl_POSet(powerset(A)) = boole_POSet(A)) # label(t4_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 30 (all A (rel_str(A) -> (-empty_carrier(A) & join_complete_relstr(A) & reflexive_relstr(A) -> lower_bounded_relstr(A) & reflexive_relstr(A) & -empty_carrier(A)))) # label(cc11_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 31 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 32 (all A (rel_str(A) -> (reflexive_relstr(A) & -empty_carrier(A) -> -empty_carrier(A) & -v1_yellow_3(A)))) # label(cc3_yellow_3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 33 (all A (one_sorted_str(A) & -empty_carrier(A) -> -empty(the_carrier(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 34 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 35 (all A (rel_str(A) -> (transitive_relstr(A) & join_complete_relstr(A) & up_complete_relstr(A) & upper_bounded_relstr(A) & antisymmetric_relstr(A) & reflexive_relstr(A) & -empty_carrier(A) -> reflexive_relstr(A) & antisymmetric_relstr(A) & upper_bounded_relstr(A) & bounded_relstr(A) & with_suprema_relstr(A) & complete_relstr(A) & with_infima_relstr(A) & join_complete_relstr(A) & up_complete_relstr(A) & lower_bounded_relstr(A) & transitive_relstr(A) & -empty_carrier(A)))) # label(cc1_yellow_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 36 (all A (strict_rel_str(boole_POSet(A)) & antisymmetric_relstr(boole_POSet(A)) & transitive_relstr(boole_POSet(A)) & reflexive_relstr(boole_POSet(A)) & -empty_carrier(boole_POSet(A)))) # label(fc7_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 37 (all A (rel_str(A) -> (up_complete_relstr(A) & with_suprema_relstr(A) & reflexive_relstr(A) -> -empty_carrier(A) & with_suprema_relstr(A) & upper_bounded_relstr(A) & reflexive_relstr(A)))) # label(cc9_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 38 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 39 (all A all B exists C relation_of2_as_subset(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 40 (exists A (rel_str(A) & -empty_carrier(A) & reflexive_relstr(A) & transitive_relstr(A) & antisymmetric_relstr(A) & with_suprema_relstr(A) & complete_relstr(A) & lower_bounded_relstr(A) & upper_bounded_relstr(A) & bounded_relstr(A) & with_infima_relstr(A))) # label(rc2_yellow_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 41 (all A inclusion_relation(A) = inclusion_order(A)) # label(redefinition_k1_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 42 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 43 (all A (rel_str(A) -> (complete_relstr(A) & -empty_carrier(A) -> -empty_carrier(A) & with_suprema_relstr(A) & with_infima_relstr(A)))) # label(cc1_yellow_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 44 (all A all B all C (relation_of2_as_subset(C,A,B) <-> relation_of2(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 45 (all A incl_POSet(A) = rel_str_of(A,inclusion_order(A))) # label(d1_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 46 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 47 (all A all B (relation_of2(B,A,A) -> (all C all D (rel_str_of(A,B) = rel_str_of(C,D) -> A = C & D = B)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 48 (all A (-empty_carrier(boole_POSet(A)) & reflexive_relstr(boole_POSet(A)) & transitive_relstr(boole_POSet(A)) & with_suprema_relstr(boole_POSet(A)) & with_infima_relstr(boole_POSet(A)) & complete_relstr(boole_POSet(A)) & lower_bounded_relstr(boole_POSet(A)) & upper_bounded_relstr(boole_POSet(A)) & up_complete_relstr(boole_POSet(A)) & distributive_relstr(boole_POSet(A)) & join_complete_relstr(boole_POSet(A)) & bounded_relstr(boole_POSet(A)) & antisymmetric_relstr(boole_POSet(A)) & strict_rel_str(boole_POSet(A)))) # label(fc1_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 49 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 50 (all A (rel_str(A) -> (reflexive_relstr(A) & complete_relstr(A) & -empty_carrier(A) -> -empty_carrier(A) & reflexive_relstr(A) & join_complete_relstr(A) & up_complete_relstr(A)))) # label(cc10_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 51 (exists A (rel_str(A) & -empty_carrier(A) & transitive_relstr(A) & antisymmetric_relstr(A) & with_infima_relstr(A) & distributive_relstr(A) & heyting_relstr(A) & upper_bounded_relstr(A) & with_suprema_relstr(A) & reflexive_relstr(A) & strict_rel_str(A))) # label(rc5_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 52 (all A all B (relation_of2(B,A,A) -> strict_rel_str(rel_str_of(A,B)) & rel_str(rel_str_of(A,B)))) # label(dt_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 53 (all A (rel_str(A) -> (-empty_carrier(A) & join_complete_relstr(A) & antisymmetric_relstr(A) & reflexive_relstr(A) -> -empty_carrier(A) & reflexive_relstr(A) & with_infima_relstr(A) & antisymmetric_relstr(A)))) # label(cc13_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 54 (exists A (rel_str(A) & -empty_carrier(A) & reflexive_relstr(A) & transitive_relstr(A) & complete_relstr(A) & antisymmetric_relstr(A) & strict_rel_str(A))) # label(rc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 55 (all A (-empty_carrier(boole_POSet(A)) & strict_rel_str(boole_POSet(A)) & transitive_relstr(boole_POSet(A)) & upper_bounded_relstr(boole_POSet(A)) & bounded_relstr(boole_POSet(A)) & with_infima_relstr(boole_POSet(A)) & complete_relstr(boole_POSet(A)) & with_suprema_relstr(boole_POSet(A)) & lower_bounded_relstr(boole_POSet(A)) & antisymmetric_relstr(boole_POSet(A)) & reflexive_relstr(boole_POSet(A)))) # label(fc8_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 56 (exists A rel_str(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 57 (all A (rel_str(A) -> (-empty_carrier(A) & reflexive_relstr(A) & transitive_relstr(A) & lower_bounded_relstr(A) & up_complete_relstr(A) & with_suprema_relstr(A) & antisymmetric_relstr(A) -> -empty_carrier(A) & reflexive_relstr(A) & with_suprema_relstr(A) & upper_bounded_relstr(A) & bounded_relstr(A) & lower_bounded_relstr(A) & complete_relstr(A) & with_infima_relstr(A) & antisymmetric_relstr(A) & transitive_relstr(A)))) # label(cc12_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 58 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 59 (all A (one_sorted_str(A) & -empty_carrier(A) -> (exists B (element(B,powerset(the_carrier(A))) & -empty(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 60 (all A (rel_str(incl_POSet(A)) & strict_rel_str(incl_POSet(A)))) # label(dt_k2_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 61 (exists A (strict_rel_str(A) & with_suprema_relstr(A) & with_infima_relstr(A) & complete_relstr(A) & antisymmetric_relstr(A) & transitive_relstr(A) & reflexive_relstr(A) & -empty_carrier(A) & rel_str(A))) # label(rc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 62 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 63 (all A (reflexive(inclusion_order(A)) & antisymmetric(inclusion_order(A)) & relation_of2_as_subset(inclusion_order(A),A,A) & v1_partfun1(inclusion_order(A),A,A) & transitive(inclusion_order(A)))) # label(dt_k1_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 64 (all A (rel_str(A) & -v1_yellow_3(A) -> -empty(the_InternalRel(A)) & relation(the_InternalRel(A)))) # label(fc13_yellow_3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 65 (all A all B (element(A,powerset(B)) <-> subset(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 66 (all A (rel_str(A) -> (antisymmetric_relstr(A) & join_complete_relstr(A) & upper_bounded_relstr(A) & reflexive_relstr(A) & -empty_carrier(A) -> -empty_carrier(A) & reflexive_relstr(A) & antisymmetric_relstr(A) & upper_bounded_relstr(A) & with_suprema_relstr(A)))) # label(cc14_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 67 (all A all B (element(A,B) -> in(A,B) | empty(B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 68 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 69 (all A all B -(empty(B) & in(A,B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 70 (all A (-empty(A) -> transitive_relstr(incl_POSet(A)) & antisymmetric_relstr(incl_POSet(A)) & reflexive_relstr(incl_POSet(A)) & strict_rel_str(incl_POSet(A)) & -empty_carrier(incl_POSet(A)))) # label(fc6_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 71 (all A (strict_rel_str(boole_POSet(A)) & transitive_relstr(boole_POSet(A)) & antisymmetric_relstr(boole_POSet(A)) & with_infima_relstr(boole_POSet(A)) & lower_bounded_relstr(boole_POSet(A)) & upper_bounded_relstr(boole_POSet(A)) & bounded_relstr(boole_POSet(A)) & join_complete_relstr(boole_POSet(A)) & complemented_relstr(boole_POSet(A)) & distributive_relstr(boole_POSet(A)) & up_complete_relstr(boole_POSet(A)) & complete_relstr(boole_POSet(A)) & with_suprema_relstr(boole_POSet(A)) & reflexive_relstr(boole_POSet(A)) & -empty_carrier(boole_POSet(A)))) # label(fc9_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 72 (all A all B all C (relation_of2_as_subset(C,A,B) -> element(C,powerset(cartesian_product2(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 73 (all A (rel_str(A) -> (empty_carrier(A) -> v1_yellow_3(A)))) # label(cc1_yellow_3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 74 (all A (rel_str(A) -> (-v1_yellow_3(A) -> -empty_carrier(A)))) # label(cc2_yellow_3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 75 (exists A one_sorted_str(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 76 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 77 (all A (rel_str(A) -> (boolean_relstr(A) & -empty_carrier(A) -> reflexive_relstr(A) & antisymmetric_relstr(A) & with_suprema_relstr(A) & heyting_relstr(A) & distributive_relstr(A) & upper_bounded_relstr(A) & with_infima_relstr(A) & transitive_relstr(A) & -empty_carrier(A)))) # label(cc10_waybel_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 78 (all A (finite(A) -> (all B (element(B,powerset(A)) -> finite(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 79 (all A all B all C (element(B,powerset(C)) & in(A,B) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 80 (all A (rel_str(A) -> (with_infima_relstr(A) -> -empty_carrier(A)))) # label(cc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 81 (all A all B exists C relation_of2(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 82 (all A (strict_rel_str(boole_POSet(A)) & rel_str(boole_POSet(A)))) # label(dt_k3_yellow_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 83 (all A (rel_str(A) -> (bounded_relstr(A) -> lower_bounded_relstr(A) & upper_bounded_relstr(A)))) # label(cc4_yellow_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 84 (all A (-empty(A) -> (exists B (-empty(B) & element(B,powerset(A)))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 85 (all A exists B (element(B,powerset(A)) & empty(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 86 (all A (rel_str(A) -> (upper_bounded_relstr(A) & lower_bounded_relstr(A) -> bounded_relstr(A)))) # label(cc5_yellow_0) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 87 (all A (rel_str(A) -> (strict_rel_str(A) -> rel_str_of(the_carrier(A),the_InternalRel(A)) = A))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.52 88 -(all A powerset(A) = the_carrier(boole_POSet(A))) # label(t4_waybel_7) # label(negated_conjecture) # label(non_clause). [assumption]. 0.06/0.52 0.06/0.52 ============================== end of process non-clausal formulas === 0.06/0.52 0.06/0.52 ============================== PROCESS INITIAL CLAUSES =============== 0.06/0.52 0.06/0.52 ============================== PREDICATE ELIMINATION ================= 0.06/0.52 89 -rel_str(A) | -strict_rel_str(A) | rel_str_of(the_carrier(A),the_InternalRel(A)) = A # label(abstractness_v1_orders_2) # label(axiom). [clausify(87)]. 0.06/0.52 90 strict_rel_str(c1) # label(rc1_yellow_3) # label(axiom). [clausify(4)]. 0.06/0.52 91 strict_rel_str(incl_POSet(A)) # label(fc5_yellow_1) # label(axiom). [clausify(8)]. 0.06/0.52 92 strict_rel_str(c2) # label(rc13_waybel_0) # label(axiom). [clausify(9)]. 0.06/0.52 93 strict_rel_str(c3) # label(rc4_waybel_1) # label(axiom). [clausify(13)]. 0.06/0.52 94 strict_rel_str(boole_POSet(A)) # label(fc7_yellow_1) # label(axiom). [clausify(36)]. 0.06/0.52 95 strict_rel_str(boole_POSet(A)) # label(fc1_waybel_1) # label(axiom). [clausify(48)]. 0.06/0.52 96 strict_rel_str(c9) # label(rc5_waybel_1) # label(axiom). [clausify(51)]. 0.06/0.52 97 -relation_of2(A,B,B) | strict_rel_str(rel_str_of(B,A)) # label(dt_g1_orders_2) # label(axiom). [clausify(52)]. 0.06/0.52 98 strict_rel_str(c10) # label(rc1_lattice3) # label(axiom). [clausify(54)]. 0.06/0.52 99 strict_rel_str(boole_POSet(A)) # label(fc8_yellow_1) # label(axiom). [clausify(55)]. 0.06/0.52 100 strict_rel_str(incl_POSet(A)) # label(dt_k2_yellow_1) # label(axiom). [clausify(60)]. 0.06/0.52 101 strict_rel_str(c12) # label(rc2_lattice3) # label(axiom). [clausify(61)]. 0.06/0.52 102 empty(A) | strict_rel_str(incl_POSet(A)) # label(fc6_yellow_1) # label(axiom). [clausify(70)]. 0.06/0.52 103 strict_rel_str(boole_POSet(A)) # label(fc9_waybel_1) # label(axiom). [clausify(71)]. 0.06/0.52 104 strict_rel_str(boole_POSet(A)) # label(dt_k3_yellow_1) # label(axiom). [clausify(82)]. 0.06/0.52 Derived: -rel_str(c1) | rel_str_of(the_carrier(c1),the_InternalRel(c1)) = c1. [resolve(89,b,90,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | rel_str_of(the_carrier(incl_POSet(A)),the_InternalRel(incl_POSet(A))) = incl_POSet(A). [resolve(89,b,91,a)]. 0.06/0.52 Derived: -rel_str(c2) | rel_str_of(the_carrier(c2),the_InternalRel(c2)) = c2. [resolve(89,b,92,a)]. 0.06/0.52 Derived: -rel_str(c3) | rel_str_of(the_carrier(c3),the_InternalRel(c3)) = c3. [resolve(89,b,93,a)]. 0.06/0.52 Derived: -rel_str(boole_POSet(A)) | rel_str_of(the_carrier(boole_POSet(A)),the_InternalRel(boole_POSet(A))) = boole_POSet(A). [resolve(89,b,94,a)]. 0.06/0.52 Derived: -rel_str(c9) | rel_str_of(the_carrier(c9),the_InternalRel(c9)) = c9. [resolve(89,b,96,a)]. 0.06/0.52 Derived: -rel_str(rel_str_of(A,B)) | rel_str_of(the_carrier(rel_str_of(A,B)),the_InternalRel(rel_str_of(A,B))) = rel_str_of(A,B) | -relation_of2(B,A,A). [resolve(89,b,97,b)]. 0.06/0.52 Derived: -rel_str(c10) | rel_str_of(the_carrier(c10),the_InternalRel(c10)) = c10. [resolve(89,b,98,a)]. 0.06/0.52 Derived: -rel_str(c12) | rel_str_of(the_carrier(c12),the_InternalRel(c12)) = c12. [resolve(89,b,101,a)]. 0.06/0.52 105 -rel_str(A) | -transitive_relstr(A) | -antisymmetric_relstr(A) | -with_suprema_relstr(A) | -bounded_relstr(A) | -complemented_relstr(A) | -distributive_relstr(A) | -with_infima_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | boolean_relstr(A) # label(cc9_waybel_1) # label(axiom). [clausify(22)]. 0.06/0.52 106 transitive_relstr(c1) # label(rc1_yellow_3) # label(axiom). [clausify(4)]. 0.06/0.52 107 transitive_relstr(incl_POSet(A)) # label(fc5_yellow_1) # label(axiom). [clausify(8)]. 0.06/0.52 108 transitive_relstr(c2) # label(rc13_waybel_0) # label(axiom). [clausify(9)]. 0.06/0.52 109 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | transitive_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.52 110 transitive_relstr(c3) # label(rc4_waybel_1) # label(axiom). [clausify(13)]. 0.06/0.52 Derived: -rel_str(c1) | -antisymmetric_relstr(c1) | -with_suprema_relstr(c1) | -bounded_relstr(c1) | -complemented_relstr(c1) | -distributive_relstr(c1) | -with_infima_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | boolean_relstr(c1). [resolve(105,b,106,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -bounded_relstr(incl_POSet(A)) | -complemented_relstr(incl_POSet(A)) | -distributive_relstr(incl_POSet(A)) | -with_infima_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | boolean_relstr(incl_POSet(A)). [resolve(105,b,107,a)]. 0.06/0.52 Derived: -rel_str(c2) | -antisymmetric_relstr(c2) | -with_suprema_relstr(c2) | -bounded_relstr(c2) | -complemented_relstr(c2) | -distributive_relstr(c2) | -with_infima_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | boolean_relstr(c2). [resolve(105,b,108,a)]. 0.06/0.52 Derived: -rel_str(c3) | -antisymmetric_relstr(c3) | -with_suprema_relstr(c3) | -bounded_relstr(c3) | -complemented_relstr(c3) | -distributive_relstr(c3) | -with_infima_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | boolean_relstr(c3). [resolve(105,b,110,a)]. 0.06/0.52 111 -rel_str(A) | -transitive_relstr(A) | -antisymmetric_relstr(A) | -with_suprema_relstr(A) | -bounded_relstr(A) | -complemented_relstr(A) | -distributive_relstr(A) | -with_infima_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | upper_bounded_relstr(A) # label(cc9_waybel_1) # label(axiom). [clausify(22)]. 0.06/0.52 112 -rel_str(A) | -transitive_relstr(A) | -antisymmetric_relstr(A) | -with_suprema_relstr(A) | -bounded_relstr(A) | -complemented_relstr(A) | -distributive_relstr(A) | -with_infima_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) # label(cc9_waybel_1) # label(axiom). [clausify(22)]. 0.06/0.52 113 -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | transitive_relstr(A) # label(cc5_waybel_1) # label(axiom). [clausify(27)]. 0.06/0.52 Derived: -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | -antisymmetric_relstr(A) | -with_suprema_relstr(A) | -bounded_relstr(A) | -complemented_relstr(A) | -distributive_relstr(A) | -with_infima_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | boolean_relstr(A). [resolve(113,d,105,b)]. 0.06/0.52 114 -rel_str(A) | -transitive_relstr(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | bounded_relstr(A) # label(cc1_yellow_2) # label(axiom). [clausify(35)]. 0.06/0.52 Derived: -rel_str(c1) | -join_complete_relstr(c1) | -up_complete_relstr(c1) | -upper_bounded_relstr(c1) | -antisymmetric_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | bounded_relstr(c1). [resolve(114,b,106,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | bounded_relstr(incl_POSet(A)). [resolve(114,b,107,a)]. 0.06/0.52 Derived: -rel_str(c2) | -join_complete_relstr(c2) | -up_complete_relstr(c2) | -upper_bounded_relstr(c2) | -antisymmetric_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | bounded_relstr(c2). [resolve(114,b,108,a)]. 0.06/0.52 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(114,b,109,d)]. 0.06/0.52 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | bounded_relstr(c3). [resolve(114,b,110,a)]. 0.06/0.52 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(114,b,113,d)]. 0.06/0.52 115 -rel_str(A) | -transitive_relstr(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | with_suprema_relstr(A) # label(cc1_yellow_2) # label(axiom). [clausify(35)]. 0.06/0.52 116 -rel_str(A) | -transitive_relstr(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | complete_relstr(A) # label(cc1_yellow_2) # label(axiom). [clausify(35)]. 0.06/0.52 Derived: -rel_str(c1) | -join_complete_relstr(c1) | -up_complete_relstr(c1) | -upper_bounded_relstr(c1) | -antisymmetric_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | complete_relstr(c1). [resolve(116,b,106,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | complete_relstr(incl_POSet(A)). [resolve(116,b,107,a)]. 0.06/0.52 Derived: -rel_str(c2) | -join_complete_relstr(c2) | -up_complete_relstr(c2) | -upper_bounded_relstr(c2) | -antisymmetric_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | complete_relstr(c2). [resolve(116,b,108,a)]. 0.06/0.52 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | complete_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(116,b,109,d)]. 0.06/0.52 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | complete_relstr(c3). [resolve(116,b,110,a)]. 0.06/0.52 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | complete_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(116,b,113,d)]. 0.06/0.52 117 -rel_str(A) | -transitive_relstr(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | with_infima_relstr(A) # label(cc1_yellow_2) # label(axiom). [clausify(35)]. 0.06/0.52 118 -rel_str(A) | -transitive_relstr(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) # label(cc1_yellow_2) # label(axiom). [clausify(35)]. 0.06/0.52 Derived: -rel_str(c1) | -join_complete_relstr(c1) | -up_complete_relstr(c1) | -upper_bounded_relstr(c1) | -antisymmetric_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | lower_bounded_relstr(c1). [resolve(118,b,106,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | lower_bounded_relstr(incl_POSet(A)). [resolve(118,b,107,a)]. 0.06/0.52 Derived: -rel_str(c2) | -join_complete_relstr(c2) | -up_complete_relstr(c2) | -upper_bounded_relstr(c2) | -antisymmetric_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | lower_bounded_relstr(c2). [resolve(118,b,108,a)]. 0.06/0.52 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(118,b,109,d)]. 0.06/0.52 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | lower_bounded_relstr(c3). [resolve(118,b,110,a)]. 0.06/0.52 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(118,b,113,d)]. 0.06/0.52 119 transitive_relstr(boole_POSet(A)) # label(fc7_yellow_1) # label(axiom). [clausify(36)]. 0.06/0.52 Derived: -rel_str(boole_POSet(A)) | -antisymmetric_relstr(boole_POSet(A)) | -with_suprema_relstr(boole_POSet(A)) | -bounded_relstr(boole_POSet(A)) | -complemented_relstr(boole_POSet(A)) | -distributive_relstr(boole_POSet(A)) | -with_infima_relstr(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | boolean_relstr(boole_POSet(A)). [resolve(119,a,105,b)]. 0.06/0.52 120 transitive_relstr(c6) # label(rc2_yellow_0) # label(axiom). [clausify(40)]. 0.06/0.52 Derived: -rel_str(c6) | -antisymmetric_relstr(c6) | -with_suprema_relstr(c6) | -bounded_relstr(c6) | -complemented_relstr(c6) | -distributive_relstr(c6) | -with_infima_relstr(c6) | -reflexive_relstr(c6) | empty_carrier(c6) | boolean_relstr(c6). [resolve(120,a,105,b)]. 0.06/0.52 121 transitive_relstr(boole_POSet(A)) # label(fc1_waybel_1) # label(axiom). [clausify(48)]. 0.06/0.52 122 transitive_relstr(c9) # label(rc5_waybel_1) # label(axiom). [clausify(51)]. 0.06/0.52 Derived: -rel_str(c9) | -antisymmetric_relstr(c9) | -with_suprema_relstr(c9) | -bounded_relstr(c9) | -complemented_relstr(c9) | -distributive_relstr(c9) | -with_infima_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | boolean_relstr(c9). [resolve(122,a,105,b)]. 0.06/0.52 Derived: -rel_str(c9) | -join_complete_relstr(c9) | -up_complete_relstr(c9) | -upper_bounded_relstr(c9) | -antisymmetric_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | bounded_relstr(c9). [resolve(122,a,114,b)]. 0.06/0.52 Derived: -rel_str(c9) | -join_complete_relstr(c9) | -up_complete_relstr(c9) | -upper_bounded_relstr(c9) | -antisymmetric_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | complete_relstr(c9). [resolve(122,a,116,b)]. 0.06/0.52 Derived: -rel_str(c9) | -join_complete_relstr(c9) | -up_complete_relstr(c9) | -upper_bounded_relstr(c9) | -antisymmetric_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | lower_bounded_relstr(c9). [resolve(122,a,118,b)]. 0.06/0.52 123 transitive_relstr(c10) # label(rc1_lattice3) # label(axiom). [clausify(54)]. 0.06/0.52 Derived: -rel_str(c10) | -antisymmetric_relstr(c10) | -with_suprema_relstr(c10) | -bounded_relstr(c10) | -complemented_relstr(c10) | -distributive_relstr(c10) | -with_infima_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | boolean_relstr(c10). [resolve(123,a,105,b)]. 0.06/0.52 Derived: -rel_str(c10) | -join_complete_relstr(c10) | -up_complete_relstr(c10) | -upper_bounded_relstr(c10) | -antisymmetric_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | bounded_relstr(c10). [resolve(123,a,114,b)]. 0.06/0.52 Derived: -rel_str(c10) | -join_complete_relstr(c10) | -up_complete_relstr(c10) | -upper_bounded_relstr(c10) | -antisymmetric_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | with_infima_relstr(c10). [resolve(123,a,117,b)]. 0.06/0.52 Derived: -rel_str(c10) | -join_complete_relstr(c10) | -up_complete_relstr(c10) | -upper_bounded_relstr(c10) | -antisymmetric_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | lower_bounded_relstr(c10). [resolve(123,a,118,b)]. 0.06/0.52 124 transitive_relstr(boole_POSet(A)) # label(fc8_yellow_1) # label(axiom). [clausify(55)]. 0.06/0.52 125 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -transitive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | upper_bounded_relstr(A) # label(cc12_waybel_0) # label(axiom). [clausify(57)]. 0.06/0.52 Derived: -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | upper_bounded_relstr(c1). [resolve(125,d,106,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | upper_bounded_relstr(incl_POSet(A)). [resolve(125,d,107,a)]. 0.06/0.52 Derived: -rel_str(c2) | empty_carrier(c2) | -reflexive_relstr(c2) | -lower_bounded_relstr(c2) | -up_complete_relstr(c2) | -with_suprema_relstr(c2) | -antisymmetric_relstr(c2) | upper_bounded_relstr(c2). [resolve(125,d,108,a)]. 0.06/0.52 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | upper_bounded_relstr(c3). [resolve(125,d,110,a)]. 0.06/0.52 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | upper_bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(125,d,113,d)]. 0.06/0.52 Derived: -rel_str(c6) | empty_carrier(c6) | -reflexive_relstr(c6) | -lower_bounded_relstr(c6) | -up_complete_relstr(c6) | -with_suprema_relstr(c6) | -antisymmetric_relstr(c6) | upper_bounded_relstr(c6). [resolve(125,d,120,a)]. 0.06/0.52 Derived: -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | upper_bounded_relstr(c9). [resolve(125,d,122,a)]. 0.06/0.52 Derived: -rel_str(c10) | empty_carrier(c10) | -reflexive_relstr(c10) | -lower_bounded_relstr(c10) | -up_complete_relstr(c10) | -with_suprema_relstr(c10) | -antisymmetric_relstr(c10) | upper_bounded_relstr(c10). [resolve(125,d,123,a)]. 0.06/0.52 126 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -transitive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | bounded_relstr(A) # label(cc12_waybel_0) # label(axiom). [clausify(57)]. 0.06/0.52 Derived: -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | bounded_relstr(c1). [resolve(126,d,106,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | bounded_relstr(incl_POSet(A)). [resolve(126,d,107,a)]. 0.06/0.52 Derived: -rel_str(c2) | empty_carrier(c2) | -reflexive_relstr(c2) | -lower_bounded_relstr(c2) | -up_complete_relstr(c2) | -with_suprema_relstr(c2) | -antisymmetric_relstr(c2) | bounded_relstr(c2). [resolve(126,d,108,a)]. 0.06/0.52 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(126,d,109,d)]. 0.06/0.52 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | bounded_relstr(c3). [resolve(126,d,110,a)]. 0.06/0.52 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(126,d,113,d)]. 0.06/0.52 Derived: -rel_str(c6) | empty_carrier(c6) | -reflexive_relstr(c6) | -lower_bounded_relstr(c6) | -up_complete_relstr(c6) | -with_suprema_relstr(c6) | -antisymmetric_relstr(c6) | bounded_relstr(c6). [resolve(126,d,120,a)]. 0.06/0.52 Derived: -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | bounded_relstr(c9). [resolve(126,d,122,a)]. 0.06/0.52 Derived: -rel_str(c10) | empty_carrier(c10) | -reflexive_relstr(c10) | -lower_bounded_relstr(c10) | -up_complete_relstr(c10) | -with_suprema_relstr(c10) | -antisymmetric_relstr(c10) | bounded_relstr(c10). [resolve(126,d,123,a)]. 0.06/0.52 127 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -transitive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | complete_relstr(A) # label(cc12_waybel_0) # label(axiom). [clausify(57)]. 0.06/0.52 Derived: -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | complete_relstr(c1). [resolve(127,d,106,a)]. 0.06/0.52 Derived: -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | complete_relstr(incl_POSet(A)). [resolve(127,d,107,a)]. 0.06/0.52 Derived: -rel_str(c2) | empty_carrier(c2) | -reflexive_relstr(c2) | -lower_bounded_relstr(c2) | -up_complete_relstr(c2) | -with_suprema_relstr(c2) | -antisymmetric_relstr(c2) | complete_relstr(c2). [resolve(127,d,108,a)]. 0.06/0.52 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | complete_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(127,d,109,d)]. 0.06/0.52 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | complete_relstr(c3). [resolve(127,d,110,a)]. 0.06/0.52 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | complete_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(127,d,113,d)]. 0.06/0.53 Derived: -rel_str(c6) | empty_carrier(c6) | -reflexive_relstr(c6) | -lower_bounded_relstr(c6) | -up_complete_relstr(c6) | -with_suprema_relstr(c6) | -antisymmetric_relstr(c6) | complete_relstr(c6). [resolve(127,d,120,a)]. 0.06/0.53 Derived: -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | complete_relstr(c9). [resolve(127,d,122,a)]. 0.06/0.53 Derived: -rel_str(c10) | empty_carrier(c10) | -reflexive_relstr(c10) | -lower_bounded_relstr(c10) | -up_complete_relstr(c10) | -with_suprema_relstr(c10) | -antisymmetric_relstr(c10) | complete_relstr(c10). [resolve(127,d,123,a)]. 0.06/0.53 128 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -transitive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | with_infima_relstr(A) # label(cc12_waybel_0) # label(axiom). [clausify(57)]. 0.06/0.53 Derived: -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | with_infima_relstr(c1). [resolve(128,d,106,a)]. 0.06/0.53 Derived: -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | with_infima_relstr(incl_POSet(A)). [resolve(128,d,107,a)]. 0.06/0.53 Derived: -rel_str(c2) | empty_carrier(c2) | -reflexive_relstr(c2) | -lower_bounded_relstr(c2) | -up_complete_relstr(c2) | -with_suprema_relstr(c2) | -antisymmetric_relstr(c2) | with_infima_relstr(c2). [resolve(128,d,108,a)]. 0.06/0.53 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | with_infima_relstr(c3). [resolve(128,d,110,a)]. 0.06/0.53 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | with_infima_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(128,d,113,d)]. 0.06/0.53 Derived: -rel_str(c6) | empty_carrier(c6) | -reflexive_relstr(c6) | -lower_bounded_relstr(c6) | -up_complete_relstr(c6) | -with_suprema_relstr(c6) | -antisymmetric_relstr(c6) | with_infima_relstr(c6). [resolve(128,d,120,a)]. 0.06/0.53 Derived: -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | with_infima_relstr(c9). [resolve(128,d,122,a)]. 0.06/0.53 Derived: -rel_str(c10) | empty_carrier(c10) | -reflexive_relstr(c10) | -lower_bounded_relstr(c10) | -up_complete_relstr(c10) | -with_suprema_relstr(c10) | -antisymmetric_relstr(c10) | with_infima_relstr(c10). [resolve(128,d,123,a)]. 0.06/0.53 129 transitive_relstr(c12) # label(rc2_lattice3) # label(axiom). [clausify(61)]. 0.06/0.53 Derived: -rel_str(c12) | -antisymmetric_relstr(c12) | -with_suprema_relstr(c12) | -bounded_relstr(c12) | -complemented_relstr(c12) | -distributive_relstr(c12) | -with_infima_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | boolean_relstr(c12). [resolve(129,a,105,b)]. 0.06/0.53 Derived: -rel_str(c12) | -join_complete_relstr(c12) | -up_complete_relstr(c12) | -upper_bounded_relstr(c12) | -antisymmetric_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | bounded_relstr(c12). [resolve(129,a,114,b)]. 0.06/0.53 Derived: -rel_str(c12) | -join_complete_relstr(c12) | -up_complete_relstr(c12) | -upper_bounded_relstr(c12) | -antisymmetric_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | complete_relstr(c12). [resolve(129,a,116,b)]. 0.06/0.53 Derived: -rel_str(c12) | -join_complete_relstr(c12) | -up_complete_relstr(c12) | -upper_bounded_relstr(c12) | -antisymmetric_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | with_infima_relstr(c12). [resolve(129,a,117,b)]. 0.06/0.53 Derived: -rel_str(c12) | -join_complete_relstr(c12) | -up_complete_relstr(c12) | -upper_bounded_relstr(c12) | -antisymmetric_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | lower_bounded_relstr(c12). [resolve(129,a,118,b)]. 0.06/0.54 Derived: -rel_str(c12) | empty_carrier(c12) | -reflexive_relstr(c12) | -lower_bounded_relstr(c12) | -up_complete_relstr(c12) | -with_suprema_relstr(c12) | -antisymmetric_relstr(c12) | upper_bounded_relstr(c12). [resolve(129,a,125,d)]. 0.06/0.54 Derived: -rel_str(c12) | empty_carrier(c12) | -reflexive_relstr(c12) | -lower_bounded_relstr(c12) | -up_complete_relstr(c12) | -with_suprema_relstr(c12) | -antisymmetric_relstr(c12) | bounded_relstr(c12). [resolve(129,a,126,d)]. 0.06/0.54 Derived: -rel_str(c12) | empty_carrier(c12) | -reflexive_relstr(c12) | -lower_bounded_relstr(c12) | -up_complete_relstr(c12) | -with_suprema_relstr(c12) | -antisymmetric_relstr(c12) | complete_relstr(c12). [resolve(129,a,127,d)]. 0.06/0.54 Derived: -rel_str(c12) | empty_carrier(c12) | -reflexive_relstr(c12) | -lower_bounded_relstr(c12) | -up_complete_relstr(c12) | -with_suprema_relstr(c12) | -antisymmetric_relstr(c12) | with_infima_relstr(c12). [resolve(129,a,128,d)]. 0.06/0.54 130 empty(A) | transitive_relstr(incl_POSet(A)) # label(fc6_yellow_1) # label(axiom). [clausify(70)]. 0.06/0.54 Derived: empty(A) | -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | with_suprema_relstr(incl_POSet(A)). [resolve(130,b,115,b)]. 0.06/0.54 Derived: empty(A) | -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | with_infima_relstr(incl_POSet(A)). [resolve(130,b,117,b)]. 0.06/0.54 131 transitive_relstr(boole_POSet(A)) # label(fc9_waybel_1) # label(axiom). [clausify(71)]. 0.06/0.54 132 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | transitive_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.54 Derived: -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | with_suprema_relstr(A). [resolve(132,d,115,b)]. 0.06/0.54 Derived: -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | with_infima_relstr(A). [resolve(132,d,117,b)]. 0.06/0.54 Derived: -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | upper_bounded_relstr(A). [resolve(132,d,125,d)]. 0.06/0.54 Derived: -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | with_infima_relstr(A). [resolve(132,d,128,d)]. 0.06/0.54 133 -rel_str(A) | empty_carrier(A) | -complete_relstr(A) | bounded_relstr(A) # label(cc3_yellow_0) # label(axiom). [clausify(18)]. 0.06/0.54 134 complete_relstr(c2) # label(rc13_waybel_0) # label(axiom). [clausify(9)]. 0.06/0.54 Derived: -rel_str(c2) | empty_carrier(c2) | bounded_relstr(c2). [resolve(133,c,134,a)]. 0.06/0.54 135 complete_relstr(c6) # label(rc2_yellow_0) # label(axiom). [clausify(40)]. 0.06/0.54 136 -rel_str(A) | -complete_relstr(A) | empty_carrier(A) | with_suprema_relstr(A) # label(cc1_yellow_0) # label(axiom). [clausify(43)]. 0.06/0.54 Derived: -rel_str(c2) | empty_carrier(c2) | with_suprema_relstr(c2). [resolve(136,b,134,a)]. 0.06/0.54 Derived: -rel_str(c6) | empty_carrier(c6) | with_suprema_relstr(c6). [resolve(136,b,135,a)]. 0.06/0.54 137 -rel_str(A) | -complete_relstr(A) | empty_carrier(A) | with_infima_relstr(A) # label(cc1_yellow_0) # label(axiom). [clausify(43)]. 0.06/0.54 Derived: -rel_str(c2) | empty_carrier(c2) | with_infima_relstr(c2). [resolve(137,b,134,a)]. 0.06/0.54 Derived: -rel_str(c6) | empty_carrier(c6) | with_infima_relstr(c6). [resolve(137,b,135,a)]. 0.06/0.54 138 complete_relstr(boole_POSet(A)) # label(fc1_waybel_1) # label(axiom). [clausify(48)]. 0.06/0.54 139 -rel_str(A) | -reflexive_relstr(A) | -complete_relstr(A) | empty_carrier(A) | join_complete_relstr(A) # label(cc10_waybel_0) # label(axiom). [clausify(50)]. 0.06/0.54 Derived: -rel_str(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | join_complete_relstr(c2). [resolve(139,c,134,a)]. 0.06/0.54 Derived: -rel_str(c6) | -reflexive_relstr(c6) | empty_carrier(c6) | join_complete_relstr(c6). [resolve(139,c,135,a)]. 0.06/0.54 140 -rel_str(A) | -reflexive_relstr(A) | -complete_relstr(A) | empty_carrier(A) | up_complete_relstr(A) # label(cc10_waybel_0) # label(axiom). [clausify(50)]. 0.06/0.54 Derived: -rel_str(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | up_complete_relstr(c2). [resolve(140,c,134,a)]. 0.06/0.54 Derived: -rel_str(c6) | -reflexive_relstr(c6) | empty_carrier(c6) | up_complete_relstr(c6). [resolve(140,c,135,a)]. 0.06/0.54 141 complete_relstr(c10) # label(rc1_lattice3) # label(axiom). [clausify(54)]. 0.06/0.54 Derived: -rel_str(c10) | empty_carrier(c10) | bounded_relstr(c10). [resolve(141,a,133,c)]. 0.06/0.54 Derived: -rel_str(c10) | empty_carrier(c10) | with_suprema_relstr(c10). [resolve(141,a,136,b)]. 0.06/0.54 Derived: -rel_str(c10) | empty_carrier(c10) | with_infima_relstr(c10). [resolve(141,a,137,b)]. 0.06/0.54 Derived: -rel_str(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | join_complete_relstr(c10). [resolve(141,a,139,c)]. 0.06/0.54 Derived: -rel_str(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | up_complete_relstr(c10). [resolve(141,a,140,c)]. 0.06/0.54 142 complete_relstr(boole_POSet(A)) # label(fc8_yellow_1) # label(axiom). [clausify(55)]. 0.06/0.54 143 complete_relstr(c12) # label(rc2_lattice3) # label(axiom). [clausify(61)]. 0.06/0.54 Derived: -rel_str(c12) | empty_carrier(c12) | bounded_relstr(c12). [resolve(143,a,133,c)]. 0.06/0.54 Derived: -rel_str(c12) | empty_carrier(c12) | with_suprema_relstr(c12). [resolve(143,a,136,b)]. 0.06/0.54 Derived: -rel_str(c12) | empty_carrier(c12) | with_infima_relstr(c12). [resolve(143,a,137,b)]. 0.06/0.54 Derived: -rel_str(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | join_complete_relstr(c12). [resolve(143,a,139,c)]. 0.06/0.54 Derived: -rel_str(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | up_complete_relstr(c12). [resolve(143,a,140,c)]. 0.06/0.54 144 complete_relstr(boole_POSet(A)) # label(fc9_waybel_1) # label(axiom). [clausify(71)]. 0.06/0.54 Derived: -rel_str(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | bounded_relstr(boole_POSet(A)). [resolve(144,a,133,c)]. 0.06/0.54 Derived: -rel_str(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | with_infima_relstr(boole_POSet(A)). [resolve(144,a,137,b)]. 0.06/0.54 Derived: -rel_str(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | join_complete_relstr(boole_POSet(A)). [resolve(144,a,139,c)]. 0.06/0.54 Derived: -rel_str(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | up_complete_relstr(boole_POSet(A)). [resolve(144,a,140,c)]. 0.06/0.54 145 -rel_str(c1) | -join_complete_relstr(c1) | -up_complete_relstr(c1) | -upper_bounded_relstr(c1) | -antisymmetric_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | complete_relstr(c1). [resolve(116,b,106,a)]. 0.06/0.54 Derived: -rel_str(c1) | -join_complete_relstr(c1) | -up_complete_relstr(c1) | -upper_bounded_relstr(c1) | -antisymmetric_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | -rel_str(c1) | empty_carrier(c1) | bounded_relstr(c1). [resolve(145,h,133,c)]. 0.06/0.54 Derived: -rel_str(c1) | -join_complete_relstr(c1) | -up_complete_relstr(c1) | -upper_bounded_relstr(c1) | -antisymmetric_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | -rel_str(c1) | empty_carrier(c1) | with_suprema_relstr(c1). [resolve(145,h,136,b)]. 0.06/0.54 Derived: -rel_str(c1) | -join_complete_relstr(c1) | -up_complete_relstr(c1) | -upper_bounded_relstr(c1) | -antisymmetric_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | -rel_str(c1) | empty_carrier(c1) | with_infima_relstr(c1). [resolve(145,h,137,b)]. 0.06/0.54 146 -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | complete_relstr(incl_POSet(A)). [resolve(116,b,107,a)]. 0.06/0.54 Derived: -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | bounded_relstr(incl_POSet(A)). [resolve(146,h,133,c)]. 0.06/0.54 Derived: -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | with_suprema_relstr(incl_POSet(A)). [resolve(146,h,136,b)]. 0.06/0.54 Derived: -rel_str(incl_POSet(A)) | -join_complete_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -upper_bounded_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | with_infima_relstr(incl_POSet(A)). [resolve(146,h,137,b)]. 0.06/0.54 147 -rel_str(c2) | -join_complete_relstr(c2) | -up_complete_relstr(c2) | -upper_bounded_relstr(c2) | -antisymmetric_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | complete_relstr(c2). [resolve(116,b,108,a)]. 0.06/0.54 148 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | complete_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(116,b,109,d)]. 0.06/0.54 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(148,h,133,c)]. 0.06/0.54 149 -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | complete_relstr(c3). [resolve(116,b,110,a)]. 0.06/0.54 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | bounded_relstr(c3). [resolve(149,h,133,c)]. 0.06/0.54 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | with_suprema_relstr(c3). [resolve(149,h,136,b)]. 0.06/0.54 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | with_infima_relstr(c3). [resolve(149,h,137,b)]. 0.06/0.54 150 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | complete_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(116,b,113,d)]. 0.06/0.54 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(150,h,133,c)]. 0.06/0.54 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_suprema_relstr(A). [resolve(150,h,136,b)]. 0.06/0.54 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_infima_relstr(A). [resolve(150,h,137,b)]. 0.06/0.54 151 -rel_str(c9) | -join_complete_relstr(c9) | -up_complete_relstr(c9) | -upper_bounded_relstr(c9) | -antisymmetric_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | complete_relstr(c9). [resolve(122,a,116,b)]. 0.06/0.54 Derived: -rel_str(c9) | -join_complete_relstr(c9) | -up_complete_relstr(c9) | -upper_bounded_relstr(c9) | -antisymmetric_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | -rel_str(c9) | empty_carrier(c9) | bounded_relstr(c9). [resolve(151,h,133,c)]. 0.06/0.54 Derived: -rel_str(c9) | -join_complete_relstr(c9) | -up_complete_relstr(c9) | -upper_bounded_relstr(c9) | -antisymmetric_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | -rel_str(c9) | empty_carrier(c9) | with_suprema_relstr(c9). [resolve(151,h,136,b)]. 0.06/0.54 Derived: -rel_str(c9) | -join_complete_relstr(c9) | -up_complete_relstr(c9) | -upper_bounded_relstr(c9) | -antisymmetric_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | -rel_str(c9) | empty_carrier(c9) | with_infima_relstr(c9). [resolve(151,h,137,b)]. 0.06/0.54 152 -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | complete_relstr(c1). [resolve(127,d,106,a)]. 0.06/0.54 Derived: -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | -rel_str(c1) | empty_carrier(c1) | bounded_relstr(c1). [resolve(152,h,133,c)]. 0.06/0.54 Derived: -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | -rel_str(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | join_complete_relstr(c1). [resolve(152,h,139,c)]. 0.06/0.54 153 -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | complete_relstr(incl_POSet(A)). [resolve(127,d,107,a)]. 0.06/0.54 Derived: -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | bounded_relstr(incl_POSet(A)). [resolve(153,h,133,c)]. 0.06/0.54 Derived: -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -rel_str(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | join_complete_relstr(incl_POSet(A)). [resolve(153,h,139,c)]. 0.06/0.54 154 -rel_str(c2) | empty_carrier(c2) | -reflexive_relstr(c2) | -lower_bounded_relstr(c2) | -up_complete_relstr(c2) | -with_suprema_relstr(c2) | -antisymmetric_relstr(c2) | complete_relstr(c2). [resolve(127,d,108,a)]. 0.06/0.54 155 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | complete_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(127,d,109,d)]. 0.06/0.54 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(155,h,133,c)]. 0.06/0.54 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | -reflexive_relstr(A) | empty_carrier(A) | join_complete_relstr(A). [resolve(155,h,139,c)]. 0.06/0.55 156 -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | complete_relstr(c3). [resolve(127,d,110,a)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | -rel_str(c3) | empty_carrier(c3) | bounded_relstr(c3). [resolve(156,h,133,c)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | -rel_str(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | join_complete_relstr(c3). [resolve(156,h,139,c)]. 0.06/0.55 157 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | complete_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(127,d,113,d)]. 0.06/0.55 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(157,h,133,c)]. 0.06/0.55 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | -reflexive_relstr(A) | empty_carrier(A) | join_complete_relstr(A). [resolve(157,h,139,c)]. 0.06/0.55 158 -rel_str(c6) | empty_carrier(c6) | -reflexive_relstr(c6) | -lower_bounded_relstr(c6) | -up_complete_relstr(c6) | -with_suprema_relstr(c6) | -antisymmetric_relstr(c6) | complete_relstr(c6). [resolve(127,d,120,a)]. 0.06/0.55 Derived: -rel_str(c6) | empty_carrier(c6) | -reflexive_relstr(c6) | -lower_bounded_relstr(c6) | -up_complete_relstr(c6) | -with_suprema_relstr(c6) | -antisymmetric_relstr(c6) | -rel_str(c6) | empty_carrier(c6) | bounded_relstr(c6). [resolve(158,h,133,c)]. 0.06/0.55 159 -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | complete_relstr(c9). [resolve(127,d,122,a)]. 0.06/0.55 Derived: -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | -rel_str(c9) | empty_carrier(c9) | bounded_relstr(c9). [resolve(159,h,133,c)]. 0.06/0.55 Derived: -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | -rel_str(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | join_complete_relstr(c9). [resolve(159,h,139,c)]. 0.06/0.55 160 -rel_str(c10) | empty_carrier(c10) | -reflexive_relstr(c10) | -lower_bounded_relstr(c10) | -up_complete_relstr(c10) | -with_suprema_relstr(c10) | -antisymmetric_relstr(c10) | complete_relstr(c10). [resolve(127,d,123,a)]. 0.06/0.55 161 -rel_str(c12) | -join_complete_relstr(c12) | -up_complete_relstr(c12) | -upper_bounded_relstr(c12) | -antisymmetric_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | complete_relstr(c12). [resolve(129,a,116,b)]. 0.06/0.55 162 -rel_str(c12) | empty_carrier(c12) | -reflexive_relstr(c12) | -lower_bounded_relstr(c12) | -up_complete_relstr(c12) | -with_suprema_relstr(c12) | -antisymmetric_relstr(c12) | complete_relstr(c12). [resolve(129,a,127,d)]. 0.06/0.55 163 heyting_relstr(c3) # label(rc4_waybel_1) # label(axiom). [clausify(13)]. 0.06/0.55 164 -rel_str(A) | empty_carrier(A) | -heyting_relstr(A) | upper_bounded_relstr(A) # label(cc7_waybel_1) # label(axiom). [clausify(10)]. 0.06/0.55 165 -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | distributive_relstr(A) # label(cc6_waybel_1) # label(axiom). [clausify(16)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | distributive_relstr(c3). [resolve(165,b,163,a)]. 0.06/0.55 166 -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | with_infima_relstr(A) # label(cc5_waybel_1) # label(axiom). [clausify(27)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | with_infima_relstr(c3). [resolve(166,b,163,a)]. 0.06/0.55 167 -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | with_suprema_relstr(A) # label(cc5_waybel_1) # label(axiom). [clausify(27)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | with_suprema_relstr(c3). [resolve(167,b,163,a)]. 0.06/0.55 168 -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | antisymmetric_relstr(A) # label(cc5_waybel_1) # label(axiom). [clausify(27)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | antisymmetric_relstr(c3). [resolve(168,b,163,a)]. 0.06/0.55 169 -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | reflexive_relstr(A) # label(cc5_waybel_1) # label(axiom). [clausify(27)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | reflexive_relstr(c3). [resolve(169,b,163,a)]. 0.06/0.55 170 heyting_relstr(c9) # label(rc5_waybel_1) # label(axiom). [clausify(51)]. 0.06/0.55 Derived: -rel_str(c9) | empty_carrier(c9) | distributive_relstr(c9). [resolve(170,a,165,b)]. 0.06/0.55 Derived: -rel_str(c9) | empty_carrier(c9) | with_infima_relstr(c9). [resolve(170,a,166,b)]. 0.06/0.55 Derived: -rel_str(c9) | empty_carrier(c9) | antisymmetric_relstr(c9). [resolve(170,a,168,b)]. 0.06/0.55 171 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | heyting_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.55 Derived: -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_suprema_relstr(A). [resolve(171,d,167,b)]. 0.06/0.55 Derived: -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | antisymmetric_relstr(A). [resolve(171,d,168,b)]. 0.06/0.55 Derived: -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | reflexive_relstr(A). [resolve(171,d,169,b)]. 0.06/0.55 172 -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | -antisymmetric_relstr(A) | -with_suprema_relstr(A) | -bounded_relstr(A) | -complemented_relstr(A) | -distributive_relstr(A) | -with_infima_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | boolean_relstr(A). [resolve(113,d,105,b)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | -antisymmetric_relstr(c3) | -with_suprema_relstr(c3) | -bounded_relstr(c3) | -complemented_relstr(c3) | -distributive_relstr(c3) | -with_infima_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | boolean_relstr(c3). [resolve(172,b,163,a)]. 0.06/0.55 173 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(114,b,113,d)]. 0.06/0.55 174 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(118,b,113,d)]. 0.06/0.55 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | lower_bounded_relstr(c3) | -rel_str(c3) | empty_carrier(c3). [resolve(174,j,163,a)]. 0.06/0.55 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(174,j,171,d)]. 0.06/0.55 175 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | upper_bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(125,d,113,d)]. 0.06/0.55 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | upper_bounded_relstr(c3) | -rel_str(c3) | empty_carrier(c3). [resolve(175,j,163,a)]. 0.06/0.55 176 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | bounded_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(126,d,113,d)]. 0.06/0.56 177 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | with_infima_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A). [resolve(128,d,113,d)]. 0.06/0.56 178 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(150,h,133,c)]. 0.06/0.56 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | bounded_relstr(c3). [resolve(178,i,163,a)]. 0.06/0.56 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(178,i,171,d)]. 0.06/0.56 179 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_suprema_relstr(A). [resolve(150,h,136,b)]. 0.06/0.56 180 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_infima_relstr(A). [resolve(150,h,137,b)]. 0.06/0.56 Derived: -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_infima_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(180,i,171,d)]. 0.06/0.56 181 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(157,h,133,c)]. 0.06/0.56 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | bounded_relstr(c3). [resolve(181,i,163,a)]. 0.06/0.56 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(181,i,171,d)]. 0.06/0.56 182 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -heyting_relstr(A) | empty_carrier(A) | -rel_str(A) | -reflexive_relstr(A) | empty_carrier(A) | join_complete_relstr(A). [resolve(157,h,139,c)]. 0.06/0.56 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | join_complete_relstr(c3). [resolve(182,i,163,a)]. 0.06/0.56 Derived: -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | -reflexive_relstr(A) | empty_carrier(A) | join_complete_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(182,i,171,d)]. 0.06/0.57 183 -one_sorted_str(A) | empty_carrier(A) | -empty(the_carrier(A)) # label(fc1_struct_0) # label(axiom). [clausify(33)]. 0.06/0.57 184 -rel_str(A) | one_sorted_str(A) # label(dt_l1_orders_2) # label(axiom). [clausify(11)]. 0.06/0.57 185 one_sorted_str(c5) # label(rc3_struct_0) # label(axiom). [clausify(20)]. 0.06/0.57 Derived: empty_carrier(A) | -empty(the_carrier(A)) | -rel_str(A). [resolve(183,a,184,b)]. 0.06/0.57 Derived: empty_carrier(c5) | -empty(the_carrier(c5)). [resolve(183,a,185,a)]. 0.06/0.57 186 -one_sorted_str(A) | empty_carrier(A) | element(f5(A),powerset(the_carrier(A))) # label(rc5_struct_0) # label(axiom). [clausify(59)]. 0.06/0.57 Derived: empty_carrier(A) | element(f5(A),powerset(the_carrier(A))) | -rel_str(A). [resolve(186,a,184,b)]. 0.06/0.57 Derived: empty_carrier(c5) | element(f5(c5),powerset(the_carrier(c5))). [resolve(186,a,185,a)]. 0.06/0.57 187 -one_sorted_str(A) | empty_carrier(A) | -empty(f5(A)) # label(rc5_struct_0) # label(axiom). [clausify(59)]. 0.06/0.57 Derived: empty_carrier(A) | -empty(f5(A)) | -rel_str(A). [resolve(187,a,184,b)]. 0.06/0.57 Derived: empty_carrier(c5) | -empty(f5(c5)). [resolve(187,a,185,a)]. 0.06/0.57 188 one_sorted_str(c13) # label(existence_l1_struct_0) # label(axiom). [clausify(75)]. 0.06/0.57 Derived: empty_carrier(c13) | -empty(the_carrier(c13)). [resolve(188,a,183,a)]. 0.06/0.57 Derived: empty_carrier(c13) | element(f5(c13),powerset(the_carrier(c13))). [resolve(188,a,186,a)]. 0.06/0.57 Derived: empty_carrier(c13) | -empty(f5(c13)). [resolve(188,a,187,a)]. 0.06/0.57 189 boolean_relstr(c3) # label(rc4_waybel_1) # label(axiom). [clausify(13)]. 0.06/0.57 190 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | reflexive_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 191 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | antisymmetric_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 192 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | with_suprema_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 193 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 194 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | upper_bounded_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 195 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | complemented_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 196 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | distributive_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 197 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | bounded_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 198 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | with_infima_relstr(A) # label(cc8_waybel_1) # label(axiom). [clausify(12)]. 0.06/0.57 Derived: -rel_str(c3) | empty_carrier(c3) | lower_bounded_relstr(c3). [resolve(189,a,193,b)]. 0.06/0.57 199 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | reflexive_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.57 200 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | antisymmetric_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.57 201 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | with_suprema_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.57 202 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | distributive_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.57 203 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | upper_bounded_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.57 Derived: -rel_str(c3) | empty_carrier(c3) | upper_bounded_relstr(c3). [resolve(203,b,189,a)]. 0.06/0.57 204 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | with_infima_relstr(A) # label(cc10_waybel_1) # label(axiom). [clausify(77)]. 0.06/0.57 205 -rel_str(c1) | -antisymmetric_relstr(c1) | -with_suprema_relstr(c1) | -bounded_relstr(c1) | -complemented_relstr(c1) | -distributive_relstr(c1) | -with_infima_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | boolean_relstr(c1). [resolve(105,b,106,a)]. 0.06/0.57 Derived: -rel_str(c1) | -antisymmetric_relstr(c1) | -with_suprema_relstr(c1) | -bounded_relstr(c1) | -complemented_relstr(c1) | -distributive_relstr(c1) | -with_infima_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | -rel_str(c1) | empty_carrier(c1) | lower_bounded_relstr(c1). [resolve(205,j,193,b)]. 0.06/0.57 Derived: -rel_str(c1) | -antisymmetric_relstr(c1) | -with_suprema_relstr(c1) | -bounded_relstr(c1) | -complemented_relstr(c1) | -distributive_relstr(c1) | -with_infima_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | -rel_str(c1) | empty_carrier(c1) | upper_bounded_relstr(c1). [resolve(205,j,194,b)]. 0.06/0.57 206 -rel_str(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -bounded_relstr(incl_POSet(A)) | -complemented_relstr(incl_POSet(A)) | -distributive_relstr(incl_POSet(A)) | -with_infima_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | boolean_relstr(incl_POSet(A)). [resolve(105,b,107,a)]. 0.06/0.57 Derived: -rel_str(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -bounded_relstr(incl_POSet(A)) | -complemented_relstr(incl_POSet(A)) | -distributive_relstr(incl_POSet(A)) | -with_infima_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | lower_bounded_relstr(incl_POSet(A)). [resolve(206,j,193,b)]. 0.06/0.57 Derived: -rel_str(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -bounded_relstr(incl_POSet(A)) | -complemented_relstr(incl_POSet(A)) | -distributive_relstr(incl_POSet(A)) | -with_infima_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | upper_bounded_relstr(incl_POSet(A)). [resolve(206,j,194,b)]. 0.06/0.57 207 -rel_str(c2) | -antisymmetric_relstr(c2) | -with_suprema_relstr(c2) | -bounded_relstr(c2) | -complemented_relstr(c2) | -distributive_relstr(c2) | -with_infima_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | boolean_relstr(c2). [resolve(105,b,108,a)]. 0.06/0.57 Derived: -rel_str(c2) | -antisymmetric_relstr(c2) | -with_suprema_relstr(c2) | -bounded_relstr(c2) | -complemented_relstr(c2) | -distributive_relstr(c2) | -with_infima_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | -rel_str(c2) | empty_carrier(c2) | lower_bounded_relstr(c2). [resolve(207,j,193,b)]. 0.06/0.57 Derived: -rel_str(c2) | -antisymmetric_relstr(c2) | -with_suprema_relstr(c2) | -bounded_relstr(c2) | -complemented_relstr(c2) | -distributive_relstr(c2) | -with_infima_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | -rel_str(c2) | empty_carrier(c2) | upper_bounded_relstr(c2). [resolve(207,j,194,b)]. 0.06/0.57 208 -rel_str(c3) | -antisymmetric_relstr(c3) | -with_suprema_relstr(c3) | -bounded_relstr(c3) | -complemented_relstr(c3) | -distributive_relstr(c3) | -with_infima_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | boolean_relstr(c3). [resolve(105,b,110,a)]. 0.06/0.57 209 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(114,b,109,d)]. 0.06/0.57 210 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(118,b,109,d)]. 0.06/0.57 211 -rel_str(boole_POSet(A)) | -antisymmetric_relstr(boole_POSet(A)) | -with_suprema_relstr(boole_POSet(A)) | -bounded_relstr(boole_POSet(A)) | -complemented_relstr(boole_POSet(A)) | -distributive_relstr(boole_POSet(A)) | -with_infima_relstr(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | boolean_relstr(boole_POSet(A)). [resolve(119,a,105,b)]. 0.06/0.57 Derived: -rel_str(boole_POSet(A)) | -antisymmetric_relstr(boole_POSet(A)) | -with_suprema_relstr(boole_POSet(A)) | -bounded_relstr(boole_POSet(A)) | -complemented_relstr(boole_POSet(A)) | -distributive_relstr(boole_POSet(A)) | -with_infima_relstr(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | -rel_str(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | lower_bounded_relstr(boole_POSet(A)). [resolve(211,j,193,b)]. 0.06/0.58 Derived: -rel_str(boole_POSet(A)) | -antisymmetric_relstr(boole_POSet(A)) | -with_suprema_relstr(boole_POSet(A)) | -bounded_relstr(boole_POSet(A)) | -complemented_relstr(boole_POSet(A)) | -distributive_relstr(boole_POSet(A)) | -with_infima_relstr(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | -rel_str(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | upper_bounded_relstr(boole_POSet(A)). [resolve(211,j,194,b)]. 0.06/0.58 212 -rel_str(c6) | -antisymmetric_relstr(c6) | -with_suprema_relstr(c6) | -bounded_relstr(c6) | -complemented_relstr(c6) | -distributive_relstr(c6) | -with_infima_relstr(c6) | -reflexive_relstr(c6) | empty_carrier(c6) | boolean_relstr(c6). [resolve(120,a,105,b)]. 0.06/0.58 Derived: -rel_str(c6) | -antisymmetric_relstr(c6) | -with_suprema_relstr(c6) | -bounded_relstr(c6) | -complemented_relstr(c6) | -distributive_relstr(c6) | -with_infima_relstr(c6) | -reflexive_relstr(c6) | empty_carrier(c6) | -rel_str(c6) | empty_carrier(c6) | lower_bounded_relstr(c6). [resolve(212,j,193,b)]. 0.06/0.58 Derived: -rel_str(c6) | -antisymmetric_relstr(c6) | -with_suprema_relstr(c6) | -bounded_relstr(c6) | -complemented_relstr(c6) | -distributive_relstr(c6) | -with_infima_relstr(c6) | -reflexive_relstr(c6) | empty_carrier(c6) | -rel_str(c6) | empty_carrier(c6) | upper_bounded_relstr(c6). [resolve(212,j,194,b)]. 0.06/0.58 213 -rel_str(c9) | -antisymmetric_relstr(c9) | -with_suprema_relstr(c9) | -bounded_relstr(c9) | -complemented_relstr(c9) | -distributive_relstr(c9) | -with_infima_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | boolean_relstr(c9). [resolve(122,a,105,b)]. 0.06/0.58 Derived: -rel_str(c9) | -antisymmetric_relstr(c9) | -with_suprema_relstr(c9) | -bounded_relstr(c9) | -complemented_relstr(c9) | -distributive_relstr(c9) | -with_infima_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | -rel_str(c9) | empty_carrier(c9) | lower_bounded_relstr(c9). [resolve(213,j,193,b)]. 0.06/0.58 Derived: -rel_str(c9) | -antisymmetric_relstr(c9) | -with_suprema_relstr(c9) | -bounded_relstr(c9) | -complemented_relstr(c9) | -distributive_relstr(c9) | -with_infima_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | -rel_str(c9) | empty_carrier(c9) | upper_bounded_relstr(c9). [resolve(213,j,194,b)]. 0.06/0.58 214 -rel_str(c10) | -antisymmetric_relstr(c10) | -with_suprema_relstr(c10) | -bounded_relstr(c10) | -complemented_relstr(c10) | -distributive_relstr(c10) | -with_infima_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | boolean_relstr(c10). [resolve(123,a,105,b)]. 0.06/0.58 Derived: -rel_str(c10) | -antisymmetric_relstr(c10) | -with_suprema_relstr(c10) | -bounded_relstr(c10) | -complemented_relstr(c10) | -distributive_relstr(c10) | -with_infima_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | -rel_str(c10) | empty_carrier(c10) | lower_bounded_relstr(c10). [resolve(214,j,193,b)]. 0.06/0.58 Derived: -rel_str(c10) | -antisymmetric_relstr(c10) | -with_suprema_relstr(c10) | -bounded_relstr(c10) | -complemented_relstr(c10) | -distributive_relstr(c10) | -with_infima_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | -rel_str(c10) | empty_carrier(c10) | upper_bounded_relstr(c10). [resolve(214,j,194,b)]. 0.06/0.58 215 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(126,d,109,d)]. 0.06/0.58 216 -rel_str(c12) | -antisymmetric_relstr(c12) | -with_suprema_relstr(c12) | -bounded_relstr(c12) | -complemented_relstr(c12) | -distributive_relstr(c12) | -with_infima_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | boolean_relstr(c12). [resolve(129,a,105,b)]. 0.06/0.58 Derived: -rel_str(c12) | -antisymmetric_relstr(c12) | -with_suprema_relstr(c12) | -bounded_relstr(c12) | -complemented_relstr(c12) | -distributive_relstr(c12) | -with_infima_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | -rel_str(c12) | empty_carrier(c12) | lower_bounded_relstr(c12). [resolve(216,j,193,b)]. 0.81/1.05 Derived: -rel_str(c12) | -antisymmetric_relstr(c12) | -with_suprema_relstr(c12) | -bounded_relstr(c12) | -complemented_relstr(c12) | -distributive_relstr(c12) | -with_infima_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | -rel_str(c12) | empty_carrier(c12) | upper_bounded_relstr(c12). [resolve(216,j,194,b)]. 0.81/1.05 217 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | with_suprema_relstr(A). [resolve(132,d,115,b)]. 0.81/1.05 218 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | with_infima_relstr(A). [resolve(132,d,117,b)]. 0.81/1.05 219 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | upper_bounded_relstr(A). [resolve(132,d,125,d)]. 0.81/1.05 220 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | with_infima_relstr(A). [resolve(132,d,128,d)]. 0.81/1.05 221 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(148,h,133,c)]. 0.81/1.05 222 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A). [resolve(155,h,133,c)]. 0.81/1.05 223 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | -reflexive_relstr(A) | empty_carrier(A) | join_complete_relstr(A). [resolve(155,h,139,c)]. 0.81/1.05 Derived: -rel_str(c1) | empty_carrier(c1) | -reflexive_relstr(c1) | -lower_bounded_relstr(c1) | -up_complete_relstr(c1) | -with_suprema_relstr(c1) | -antisymmetric_relstr(c1) | -rel_str(c1) | empty_carrier(c1) | -rel_str(c1) | -reflexive_relstr(c1) | empty_carrier(c1) | join_complete_relstr(c1) | -rel_str(c1) | -antisymmetric_relstr(c1) | -with_suprema_relstr(c1) | -bounded_relstr(c1) | -complemented_relstr(c1) | -distributive_relstr(c1) | -with_infima_relstr(c1) | -reflexive_relstr(c1) | empty_carrier(c1). [resolve(223,i,205,j)]. 0.81/1.05 Derived: -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | -lower_bounded_relstr(incl_POSet(A)) | -up_complete_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -rel_str(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | -rel_str(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)) | join_complete_relstr(incl_POSet(A)) | -rel_str(incl_POSet(A)) | -antisymmetric_relstr(incl_POSet(A)) | -with_suprema_relstr(incl_POSet(A)) | -bounded_relstr(incl_POSet(A)) | -complemented_relstr(incl_POSet(A)) | -distributive_relstr(incl_POSet(A)) | -with_infima_relstr(incl_POSet(A)) | -reflexive_relstr(incl_POSet(A)) | empty_carrier(incl_POSet(A)). [resolve(223,i,206,j)]. 0.81/1.05 Derived: -rel_str(c2) | empty_carrier(c2) | -reflexive_relstr(c2) | -lower_bounded_relstr(c2) | -up_complete_relstr(c2) | -with_suprema_relstr(c2) | -antisymmetric_relstr(c2) | -rel_str(c2) | empty_carrier(c2) | -rel_str(c2) | -reflexive_relstr(c2) | empty_carrier(c2) | join_complete_relstr(c2) | -rel_str(c2) | -antisymmetric_relstr(c2) | -with_suprema_relstr(c2) | -bounded_relstr(c2) | -complemented_relstr(c2) | -distributive_relstr(c2) | -with_infima_relstr(c2) | -reflexive_relstr(c2) | empty_carrier(c2). [resolve(223,i,207,j)]. 1.50/1.70 Derived: -rel_str(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | -lower_bounded_relstr(boole_POSet(A)) | -up_complete_relstr(boole_POSet(A)) | -with_suprema_relstr(boole_POSet(A)) | -antisymmetric_relstr(boole_POSet(A)) | -rel_str(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | -rel_str(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)) | join_complete_relstr(boole_POSet(A)) | -rel_str(boole_POSet(A)) | -antisymmetric_relstr(boole_POSet(A)) | -with_suprema_relstr(boole_POSet(A)) | -bounded_relstr(boole_POSet(A)) | -complemented_relstr(boole_POSet(A)) | -distributive_relstr(boole_POSet(A)) | -with_infima_relstr(boole_POSet(A)) | -reflexive_relstr(boole_POSet(A)) | empty_carrier(boole_POSet(A)). [resolve(223,i,211,j)]. 1.50/1.70 Derived: -rel_str(c6) | empty_carrier(c6) | -reflexive_relstr(c6) | -lower_bounded_relstr(c6) | -up_complete_relstr(c6) | -with_suprema_relstr(c6) | -antisymmetric_relstr(c6) | -rel_str(c6) | empty_carrier(c6) | -rel_str(c6) | -reflexive_relstr(c6) | empty_carrier(c6) | join_complete_relstr(c6) | -rel_str(c6) | -antisymmetric_relstr(c6) | -with_suprema_relstr(c6) | -bounded_relstr(c6) | -complemented_relstr(c6) | -distributive_relstr(c6) | -with_infima_relstr(c6) | -reflexive_relstr(c6) | empty_carrier(c6). [resolve(223,i,212,j)]. 1.50/1.70 Derived: -rel_str(c10) | empty_carrier(c10) | -reflexive_relstr(c10) | -lower_bounded_relstr(c10) | -up_complete_relstr(c10) | -with_suprema_relstr(c10) | -antisymmetric_relstr(c10) | -rel_str(c10) | empty_carrier(c10) | -rel_str(c10) | -reflexive_relstr(c10) | empty_carrier(c10) | join_complete_relstr(c10) | -rel_str(c10) | -antisymmetric_relstr(c10) | -with_suprema_relstr(c10) | -bounded_relstr(c10) | -complemented_relstr(c10) | -distributive_relstr(c10) | -with_infima_relstr(c10) | -reflexive_relstr(c10) | empty_carrier(c10). [resolve(223,i,214,j)]. 1.50/1.70 Derived: -rel_str(c12) | empty_carrier(c12) | -reflexive_relstr(c12) | -lower_bounded_relstr(c12) | -up_complete_relstr(c12) | -with_suprema_relstr(c12) | -antisymmetric_relstr(c12) | -rel_str(c12) | empty_carrier(c12) | -rel_str(c12) | -reflexive_relstr(c12) | empty_carrier(c12) | join_complete_relstr(c12) | -rel_str(c12) | -antisymmetric_relstr(c12) | -with_suprema_relstr(c12) | -bounded_relstr(c12) | -complemented_relstr(c12) | -distributive_relstr(c12) | -with_infima_relstr(c12) | -reflexive_relstr(c12) | empty_carrier(c12). [resolve(223,i,216,j)]. 1.50/1.70 224 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_suprema_relstr(A). [resolve(171,d,167,b)]. 1.50/1.70 Derived: -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | with_suprema_relstr(c3). [resolve(224,b,189,a)]. 1.50/1.70 225 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | antisymmetric_relstr(A). [resolve(171,d,168,b)]. 1.50/1.70 Derived: -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | antisymmetric_relstr(c3). [resolve(225,b,189,a)]. 1.50/1.70 226 -rel_str(A) | -boolean_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | reflexive_relstr(A). [resolve(171,d,169,b)]. 1.50/1.70 Derived: -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | reflexive_relstr(c3). [resolve(226,b,189,a)]. 1.50/1.70 227 -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | -antisymmetric_relstr(c3) | -with_suprema_relstr(c3) | -bounded_relstr(c3) | -complemented_relstr(c3) | -distributive_relstr(c3) | -with_infima_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | boolean_relstr(c3). [resolve(172,b,163,a)]. 1.50/1.70 228 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | lower_bounded_relstr(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(174,j,171,d)]. 1.64/1.88 229 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(178,i,171,d)]. 1.64/1.88 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | bounded_relstr(c3) | -rel_str(c3) | empty_carrier(c3). [resolve(229,n,189,a)]. 1.64/1.88 230 -rel_str(A) | -join_complete_relstr(A) | -up_complete_relstr(A) | -upper_bounded_relstr(A) | -antisymmetric_relstr(A) | -reflexive_relstr(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | with_infima_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(180,i,171,d)]. 1.64/1.88 Derived: -rel_str(c3) | -join_complete_relstr(c3) | -up_complete_relstr(c3) | -upper_bounded_relstr(c3) | -antisymmetric_relstr(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | with_infima_relstr(c3) | -rel_str(c3) | empty_carrier(c3). [resolve(230,n,189,a)]. 1.64/1.88 231 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | empty_carrier(A) | bounded_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(181,i,171,d)]. 1.64/1.88 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | empty_carrier(c3) | bounded_relstr(c3) | -rel_str(c3) | empty_carrier(c3). [resolve(231,n,189,a)]. 1.64/1.88 232 -rel_str(A) | empty_carrier(A) | -reflexive_relstr(A) | -lower_bounded_relstr(A) | -up_complete_relstr(A) | -with_suprema_relstr(A) | -antisymmetric_relstr(A) | -rel_str(A) | empty_carrier(A) | -rel_str(A) | -reflexive_relstr(A) | empty_carrier(A) | join_complete_relstr(A) | -rel_str(A) | -boolean_relstr(A) | empty_carrier(A). [resolve(182,i,171,d)]. 1.64/1.88 Derived: -rel_str(c3) | empty_carrier(c3) | -reflexive_relstr(c3) | -lower_bounded_relstr(c3) | -up_complete_relstr(c3) | -with_suprema_relstr(c3) | -antisymmetric_relstr(c3) | -rel_str(c3) | empty_carrier(c3) | -rel_str(c3) | -reflexive_relstr(c3) | empty_carrier(c3) | join_complete_relstr(c3) | -rel_str(c3) | empty_carrier(c3). [resolve(232,o,189,a)]. 1.64/1.88 Derived: -rel_str(c9) | empty_carrier(c9) | -reflexive_relstr(c9) | -lower_bounded_relstr(c9) | -up_complete_relstr(c9) | -with_suprema_relstr(c9) | -antisymmetric_relstr(c9) | -rel_str(c9) | empty_carrier(c9) | -rel_str(c9) | -reflexive_relstr(c9) | empty_carrier(c9) | join_complete_relstr(c9) | -rel_str(c9) | empty_carrier(c9) | -rel_str(c9) | -antisymmetric_relstr(c9) | -with_suprema_relstr(c9) | -bounded_relstr(c9) | -complemented_relstr(c9) | -distributive_relstr(c9) | -with_infima_relstr(c9) | -reflexive_relstr(c9) | empty_carrier(c9). [resolve(232,o,213,j)]. 1.64/1.88 233 -relation_of2_as_subset(A,B,C) | relation_of2(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(44)]. 1.64/1.88 234 -rel_str(A) | relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) # label(dt_u1_orders_2) # label(axiom). [clausify(28)]. 1.64/1.88 235 relation_of2_as_subset(f4(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(39)]. 1.64/1.88 Derived: relation_of2(the_InternalRel(A),the_carrier(A),the_carrier(A)) | -rel_str(A). [resolve(233,a,234,b)]. 1.64/1.88 Derived: relation_of2(f4(A,B),A,B). [resolve(233,a,235,a)]. 1.64/1.88 236 relation_of2_as_subset(A,B,C) | -relation_of2(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clauCputime limit exceeded (core dumped) 300.03/300.30 EOF