%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP384_10 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 25 01:51:15 PM UTC 2026 % Result : Satisfiable 3.28s 16.39s % Output : Model 4.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : ITP384_10 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.09/15.58 % Computer : n014.cluster.edu % 0.09/15.58 % Model : x86_64 x86_64 % 0.09/15.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/15.58 % Memory : 8046.5625MB % 0.09/15.58 % OS : Linux 6.8.0-71-generic % 0.09/15.58 % CPULimit : 300 % 0.09/15.58 % WCLimit : 300 % 0.09/15.58 % DateTime : Wed Sep 23 18:31:05 UTC 2026 % 0.09/15.58 % CPUTime : % 0.09/15.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.13/15.61 Running model finding % 0.13/15.61 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/15.63 % 0.13/15.63 % ======== iProver multi-core TPTP/SMT ========= % 0.13/15.63 % 0.13/15.63 % Detected problem language: tptp % 0.13/15.64 % Proving... % 3.28/16.39 % SZS status Started for theBenchmark.p % 3.28/16.39 % SZS status Satisfiable for theBenchmark.p % 3.28/16.39 % 3.28/16.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 3.28/16.39 % 3.28/16.39 ------ iProver source info % 3.28/16.39 % 3.28/16.39 git: date: 2026-07-19 20:42:38 +0200 % 3.28/16.39 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 3.28/16.39 git: non_committed_changes: false % 3.28/16.39 % 3.28/16.39 ------ Parsing... % 3.28/16.39 ------ Clausification by vclausify_rel & Parsing by iProver... % 3.28/16.39 ------ Proving... % 3.28/16.39 ------ Problem Properties % 3.28/16.39 % 3.28/16.39 % 3.28/16.39 clauses 815 % 3.28/16.39 conjectures 0 % 3.28/16.39 EPR 53 % 3.28/16.39 Horn 747 % 3.28/16.39 unary 279 % 3.28/16.39 binary 300 % 3.28/16.39 lits 1781 % 3.28/16.39 lits eq 741 % 3.28/16.39 fd_pure 0 % 3.28/16.39 fd_pseudo 0 % 3.28/16.39 fd_cond 3 % 3.28/16.39 fd_pseudo_cond 58 % 3.28/16.39 AC symbols 0 % 3.28/16.39 % 3.28/16.39 ------ Input Options Time Limit: Unbounded % 3.28/16.39 % 3.28/16.39 % 3.28/16.39 ------ Finite Models: % 3.28/16.39 % 3.28/16.39 ------ lit_activity_flag true % 3.28/16.39 % 3.28/16.39 % 3.28/16.39 ------ Trying domains of size >= : 1 % 3.28/16.39 ------ % 3.28/16.39 Current options: % 3.28/16.39 ------ % 3.28/16.39 % 3.28/16.39 ------ Input Options % 3.28/16.39 % 3.28/16.39 --out_options all % 3.28/16.39 --tptp_safe_out true % 3.28/16.39 --problem_path "" % 3.28/16.39 --include_path "" % 3.28/16.39 --clausifier res/vclausify_rel % 3.28/16.39 --clausifier_options --mode tclausify --show_fool true -t 101.66 -updr off % 3.28/16.39 --stdin false % 3.28/16.39 --proof_out true % 3.28/16.39 --proof_dot_file "" % 3.28/16.39 --proof_reduce_dot [] % 3.28/16.39 --suppress_sat_res false % 3.28/16.39 --suppress_unsat_res true % 3.28/16.39 --stats_out none % 3.28/16.39 --stats_mem false % 3.28/16.39 --theory_stats_out false % 3.28/16.39 % 3.28/16.39 ------ General Options % 3.28/16.39 % 3.28/16.39 --fof false % 3.28/16.39 --time_out_real 304.97 % 3.28/16.39 --time_out_virtual -1. % 3.28/16.39 --rnd_seed 13 % 3.28/16.39 --symbol_type_check false % 3.28/16.39 --clausify_out false % 3.28/16.39 --sig_cnt_out false % 3.28/16.39 --trig_cnt_out false % 3.28/16.39 --trig_cnt_out_tolerance 1. % 3.28/16.39 --trig_cnt_out_sk_spl false % 3.28/16.39 --abstr_cl_out false % 3.28/16.39 % 3.28/16.39 ------ Interactive Mode % 3.28/16.39 % 3.28/16.39 --interactive_mode false % 3.28/16.39 --external_ip_address "" % 3.28/16.39 --external_port 0 % 3.28/16.39 % 3.28/16.39 ------ Global Options % 3.28/16.39 % 3.28/16.39 --schedule none % 3.28/16.39 --add_important_lit false % 3.28/16.39 --prop_solver_per_cl 500 % 3.28/16.39 --subs_bck_mult 8 % 3.28/16.39 --min_unsat_core false % 3.28/16.39 --soft_assumptions false % 3.28/16.39 --soft_lemma_size 3 % 3.28/16.39 --prop_impl_unit_size 0 % 3.28/16.39 --prop_impl_unit [] % 3.28/16.39 --share_sel_clauses true % 3.28/16.39 --reset_solvers false % 3.28/16.39 --bc_imp_inh [conj_cone] % 3.28/16.39 --conj_cone_tolerance 3. % 3.28/16.39 --extra_neg_conj none % 3.28/16.39 --large_theory_mode true % 3.28/16.39 --prolific_symb_bound 200 % 3.28/16.39 --lt_threshold 2000 % 3.28/16.39 --clause_weak_htbl true % 3.28/16.39 --gc_record_bc_elim false % 3.28/16.39 % 3.28/16.39 ------ Preprocessing Options % 3.28/16.39 % 3.28/16.39 --preprocessing_flag false % 3.28/16.39 --time_out_prep_mult 0.1 % 3.28/16.39 --splitting_mode input % 3.28/16.39 --splitting_grd true % 3.28/16.39 --splitting_cvd false % 3.28/16.39 --splitting_cvd_svl false % 3.28/16.39 --splitting_nvd 32 % 3.28/16.39 --sub_typing false % 3.28/16.39 --prep_eq_flat_conj false % 3.28/16.39 --prep_ineq_split false % 3.28/16.39 --prep_eq_flat_all_gr false % 3.28/16.39 --prep_gs_sim true % 3.28/16.39 --prep_unflatten true % 3.28/16.39 --prep_res_sim true % 3.28/16.39 --prep_sup_sim_all true % 3.28/16.39 --prep_sup_sim_sup false % 3.28/16.39 --prep_upred true % 3.28/16.39 --prep_well_definedness true % 3.28/16.39 --prep_sem_filter exhaustive % 3.28/16.39 --prep_sem_filter_out false % 3.28/16.39 --pred_elim true % 3.28/16.39 --res_sim_input true % 3.28/16.39 --eq_ax_congr_red true % 3.28/16.39 --pure_diseq_elim true % 3.28/16.39 --brand_transform false % 3.28/16.39 --non_eq_to_eq false % 3.28/16.39 --prep_eq_proxy false % 3.28/16.39 --prep_def_merge true % 3.28/16.39 --prep_def_merge_prop_impl false % 3.28/16.39 --prep_def_merge_mbd true % 3.28/16.39 --prep_def_merge_tr_red false % 3.28/16.39 --prep_def_merge_tr_cl false % 3.28/16.39 --smt_preprocessing false % 3.28/16.39 --smt_ac_axioms fast % 3.28/16.39 --preprocessed_out false % 3.28/16.39 --preprocessed_stats false % 3.28/16.39 % 3.28/16.39 ------ Abstraction refinement Options % 3.28/16.39 % 3.28/16.39 --abstr_ref [] % 3.28/16.39 --abstr_ref_prep false % 3.28/16.39 --abstr_ref_until_sat false % 3.28/16.39 --abstr_ref_sig_restrict funpre % 3.28/16.39 --abstr_ref_af_restrict_to_split_sk false % 3.28/16.39 --abstr_ref_under [] % 3.28/16.39 % 3.28/16.39 ------ SAT Options % 3.28/16.39 % 3.28/16.39 --sat_mode true % 3.28/16.39 --sat_fm_restart_options "" % 3.28/16.39 --sat_gr_def false % 3.28/16.39 --sat_epr_types false % 3.28/16.39 --sat_non_cyclic_types false % 3.28/16.39 --sat_finite_models true % 3.28/16.39 --sat_fm_lemmas false % 3.28/16.39 --sat_fm_prep false % 3.28/16.39 --sat_fm_uc_incr false % 3.28/16.39 --sat_out_model pos % 3.28/16.39 --sat_out_clauses false % 3.28/16.39 % 3.28/16.39 ------ QBF Options % 3.28/16.39 % 3.28/16.39 --qbf_mode false % 3.28/16.39 --qbf_elim_univ false % 3.28/16.39 --qbf_dom_inst none % 3.28/16.39 --qbf_dom_pre_inst false % 3.28/16.39 --qbf_sk_in false % 3.28/16.39 --qbf_pred_elim true % 3.28/16.39 --qbf_split 512 % 3.28/16.39 % 3.28/16.39 ------ BMC1 Options % 3.28/16.39 % 3.28/16.39 --bmc1_incremental false % 3.28/16.39 --bmc1_axioms reachable_all % 3.28/16.39 --bmc1_min_bound 0 % 3.28/16.39 --bmc1_max_bound -1 % 3.28/16.39 --bmc1_max_bound_default -1 % 3.28/16.39 --bmc1_symbol_reachability true % 3.28/16.39 --bmc1_property_lemmas false % 3.28/16.39 --bmc1_k_induction false % 3.28/16.39 --bmc1_non_equiv_states false % 3.28/16.39 --bmc1_deadlock false % 3.28/16.39 --bmc1_ucm false % 3.28/16.39 --bmc1_add_unsat_core none % 3.28/16.39 --bmc1_unsat_core_children false % 3.28/16.39 --bmc1_unsat_core_extrapolate_axioms false % 3.28/16.39 --bmc1_out_stat full % 3.28/16.39 --bmc1_ground_init false % 3.28/16.39 --bmc1_pre_inst_next_state false % 3.28/16.39 --bmc1_pre_inst_state false % 3.28/16.39 --bmc1_pre_inst_reach_state false % 3.28/16.39 --bmc1_out_unsat_core false % 3.28/16.39 --bmc1_aig_witness_out false % 3.28/16.39 --bmc1_verbose false % 3.28/16.39 --bmc1_dump_clauses_tptp false % 3.28/16.39 --bmc1_dump_unsat_core_tptp false % 3.28/16.39 --bmc1_dump_file - % 3.28/16.39 --bmc1_ucm_expand_uc_limit 128 % 3.28/16.39 --bmc1_ucm_n_expand_iterations 6 % 3.28/16.39 --bmc1_ucm_extend_mode 1 % 3.28/16.39 --bmc1_ucm_init_mode 2 % 3.28/16.39 --bmc1_ucm_cone_mode none % 3.28/16.39 --bmc1_ucm_reduced_relation_type 0 % 3.28/16.39 --bmc1_ucm_relax_model 4 % 3.28/16.39 --bmc1_ucm_full_tr_after_sat true % 3.28/16.39 --bmc1_ucm_expand_neg_assumptions false % 3.28/16.39 --bmc1_ucm_layered_model none % 3.28/16.39 --bmc1_ucm_max_lemma_size 10 % 3.28/16.39 % 3.28/16.39 ------ AIG Options % 3.28/16.39 % 3.28/16.39 --aig_mode false % 3.28/16.39 % 3.28/16.39 ------ Instantiation Options % 3.28/16.39 % 3.28/16.39 --instantiation_flag true % 3.28/16.39 --inst_sos_flag false % 3.28/16.39 --inst_sos_phase true % 3.28/16.39 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 3.28/16.39 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 3.28/16.39 --inst_lit_sel_side num_symb % 3.28/16.39 --inst_solver_per_active 1400 % 3.28/16.39 --inst_solver_calls_frac 1. % 3.28/16.39 --inst_to_smt_solver true % 3.28/16.39 --inst_passive_queue_type priority_queues % 3.28/16.39 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 3.28/16.39 --inst_passive_queues_freq [25;2] % 3.28/16.39 --inst_dismatching true % 3.28/16.39 --inst_eager_unprocessed_to_passive true % 3.28/16.39 --inst_unprocessed_bound 1000 % 3.28/16.39 --inst_prop_sim_given true % 3.28/16.39 --inst_prop_sim_new false % 3.28/16.39 --inst_subs_new false % 3.28/16.39 --inst_eq_res_simp false % 3.28/16.39 --inst_subs_given false % 3.28/16.39 --inst_orphan_elimination true % 3.28/16.39 --inst_learning_loop_flag true % 3.28/16.39 --inst_learning_start 3000 % 3.28/16.39 --inst_learning_factor 2 % 3.28/16.39 --inst_start_prop_sim_after_learn 3 % 3.28/16.39 --inst_sel_renew solver % 3.28/16.39 --inst_lit_activity_flag true % 3.28/16.39 --inst_restr_to_given false % 3.28/16.39 --inst_activity_threshold 500 % 3.28/16.39 % 3.28/16.39 ------ Resolution Options % 3.28/16.39 % 3.28/16.39 --resolution_flag false % 3.28/16.39 --res_lit_sel adaptive % 3.28/16.39 --res_lit_sel_side none % 3.28/16.39 --res_ordering kbo % 3.28/16.39 --res_to_prop_solver active % 3.28/16.39 --res_prop_simpl_new false % 3.28/16.39 --res_prop_simpl_given true % 3.28/16.39 --res_to_smt_solver true % 3.28/16.39 --res_passive_queue_type priority_queues % 3.28/16.39 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 3.28/16.39 --res_passive_queues_freq [15;5] % 3.28/16.39 --res_forward_subs full % 3.28/16.39 --res_backward_subs full % 3.28/16.39 --res_forward_subs_resolution true % 3.28/16.39 --res_backward_subs_resolution true % 3.28/16.39 --res_orphan_elimination true % 3.28/16.39 --res_time_limit 300. % 3.28/16.39 % 3.28/16.39 ------ Superposition Options % 3.28/16.39 % 3.28/16.39 --superposition_flag false % 3.28/16.39 --sup_passive_queue_type priority_queues % 3.28/16.39 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]] % 3.28/16.39 --sup_passive_queues_freq [8;1;4;4] % 3.28/16.39 --twee_lhs_weight 4 % 3.28/16.39 --sup_set_join false % 3.28/16.39 --sup_set_join_goals true % 3.28/16.39 --sup_set_join_limit 1000 % 3.28/16.39 --demod_completeness_check fast % 3.28/16.39 --demod_use_ground true % 3.28/16.39 --sup_unprocessed_bound 0 % 3.28/16.39 --sup_to_prop_solver passive % 3.28/16.39 --sup_prop_simpl_new true % 3.28/16.39 --sup_prop_simpl_given true % 3.28/16.39 --sup_fun_splitting false % 3.28/16.39 --sup_iter_deepening 2 % 3.28/16.39 --sup_restarts_mult 12 % 3.28/16.39 --sup_score sim_d_gen % 3.28/16.39 --sup_share_score_frac 0.2 % 3.28/16.39 --sup_share_max_num_cl 500 % 3.28/16.39 --sup_ordering kbo % 3.28/16.39 --sup_symb_ordering invfreq % 3.28/16.39 --sup_term_weight default % 3.28/16.39 % 3.28/16.39 ------ Superposition Simplification Setup % 3.28/16.39 % 3.28/16.39 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 3.28/16.39 --sup_full_triv [SMTSimplify;PropSubs] % 3.28/16.39 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 3.28/16.39 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.28/16.39 --sup_immed_triv [] % 3.28/16.39 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 3.28/16.39 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 3.28/16.39 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 3.28/16.39 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.28/16.39 --sup_input_triv [Unflattening;SMTSimplify] % 3.28/16.39 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 3.28/16.39 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 3.28/16.39 --sup_full_fixpoint true % 3.28/16.39 --sup_main_fixpoint true % 3.28/16.39 --sup_immed_fixpoint false % 3.28/16.39 --sup_input_fixpoint true % 3.28/16.39 --sup_cache_sim none % 3.28/16.39 --sup_smt_interval 500 % 3.28/16.39 --sup_bw_gjoin_interval 0 % 3.28/16.39 % 3.28/16.39 ------ Combination Options % 3.28/16.39 % 3.28/16.39 --comb_mode clause_based % 3.28/16.39 --comb_inst_mult 5 % 3.28/16.39 --comb_res_mult 1 % 3.28/16.39 --comb_sup_mult 8 % 3.28/16.39 --comb_sup_deep_mult 2 % 3.28/16.39 % 3.28/16.39 ------ Debug Options % 3.28/16.39 % 3.28/16.39 --dbg_backtrace false % 3.28/16.39 --dbg_dump_prop_clauses false % 3.28/16.39 --dbg_dump_prop_clauses_file - % 3.28/16.39 --dbg_out_stat false % 3.28/16.39 --dbg_just_parse false % 3.28/16.39 % 3.28/16.39 % 3.28/16.39 % 3.28/16.39 % 3.28/16.39 ------ Proving... % 3.28/16.39 % 3.28/16.39 % 3.28/16.39 % SZS status Satisfiable for theBenchmark.p % 3.28/16.39 % 3.28/16.39 ------ Building Model...Done % 3.28/16.39 % 3.28/16.39 %------ The model is defined over ground terms (initial term algebra). % 3.28/16.39 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 3.28/16.39 %------ where \phi is a formula over the term algebra. % 3.28/16.39 %------ If we have equality in the problem then it is also defined as a predicate above, % 3.28/16.39 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 3.28/16.39 %------ See help for --sat_out_model for different model outputs. % 3.28/16.39 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 3.28/16.39 %------ where the first argument stands for the sort ($i in the unsorted case) % 3.28/16.39 % SZS output start Model for theBenchmark.p % 3.28/16.39 % 3.28/16.39 %------ Positive definition of equality_sorted % 3.28/16.39 fof(lit_def,axiom, % 3.28/16.39 (! [X0_tType,X0_'A_update_set_a_update_set_fun',X1_'A_update_set_a_update_set_fun'] : % 3.28/16.39 ( equality_sorted(X0_tType,X0_'A_update_set_a_update_set_fun',X1_'A_update_set_a_update_set_fun') <=> % 3.28/16.39 ( % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='A_update$' ) % 3.28/16.39 ) % 3.28/16.39 % 3.28/16.39 | % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='A_update_a_update_bool_fun_fun$' ) % 3.28/16.39 ) % 3.28/16.39 % 3.28/16.39 | % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='B_update_a_update_fun$' ) % 3.28/16.39 ) % 3.28/16.39 % 3.28/16.39 | % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='A_update_b_update_fun$' ) % 3.28/16.39 ) % 3.28/16.39 % 3.28/16.39 | % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='A_a_prod_update$' ) % 3.28/16.39 ) % 3.28/16.39 % 3.28/16.39 | % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='C_update_b_update_fun$' ) % 3.28/16.39 ) % 3.28/16.39 % 3.28/16.39 | % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='B_update_c_update_fun$' ) % 3.28/16.39 ) % 3.28/16.39 % 3.28/16.39 | % 3.28/16.39 ( % 3.28/16.39 ( X0_tType='B_update_b_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_c_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_set$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_c_prod_update_c_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_b_prod_update_b_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_c_update_bool_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_a_prod_update_a_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_a_update_fun_c_update_a_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_c_update_fun_c_update_c_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_b_prod_update_c_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_set_b_update_set_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_a_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_b_update_bool_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_b_update_fun_b_update_b_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_c_prod_update_a_c_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_b_update_fun_a_update_b_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_a_update_fun_a_update_a_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_a_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_c_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_b_update_fun_c_update_c_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_set_c_update_set_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_set$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_a_update_fun_b_update_a_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_b_prod_update_c_b_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_c_update_fun_b_update_c_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_a_prod_update_a_a_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_c_prod_update_b_b_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_c_prod_update_c_c_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_a_prod_update$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_b_prod_update_b_b_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_b_prod_update_b_c_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_a_prod_update_c_a_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_set$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_b_update_fun_a_update_c_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_c_prod_update$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_c_prod_update_b_c_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_set_a_update_set_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_c_update_fun_c_update_b_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_c_update_fun_a_update_c_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_a_prod_update_b_a_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_update_c_update_fun_a_update_b_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_c_prod_update$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='A_b_prod_update_a_b_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_b_prod_update_c_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_update_b_update_fun_c_update_b_update_fun_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_b_prod_update_b_c_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_c_prod_update_b_b_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='B_a_prod_update_b_a_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_b_prod_update_b_b_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 | % 3.28/16.40 ( % 3.28/16.40 ( X0_tType='C_c_prod_update_b_c_prod_update_fun$' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$d' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_b_update_fun_set'] : % 3.28/16.40 ( 'inj_on$d'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_b_update_fun_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$au' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X1_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'] : % 3.28/16.40 ( 'rel_fun$au'(X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X1_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun') <=> % 3.28/16.40 ( % 3.28/16.40 ( % 3.28/16.40 ( X1_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'=X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'fun_app$bw' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_c_update_fun_bool_fun',X0_'C_update_c_update_fun'] : % 3.28/16.40 ( 'fun_app$bw'(X0_'C_update_c_update_fun_bool_fun',X0_'C_update_c_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'less_eq$a' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_set',X1_'A_update_set'] : % 3.28/16.40 ( 'less_eq$a'(X0_'A_update_set',X1_'A_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'member$' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update',X0_'A_update_set'] : % 3.28/16.40 ( 'member$'(X0_'A_update',X0_'A_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$be' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X1_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'] : % 3.28/16.40 ( 'rel_fun$be'(X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X1_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun') <=> % 3.28/16.40 ( % 3.28/16.40 ( % 3.28/16.40 ( X1_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'=X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun' ) % 3.28/16.40 ) % 3.28/16.40 % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'fun_app$ca' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_a_update_fun_bool_fun',X0_'A_update_a_update_fun'] : % 3.28/16.40 ( 'fun_app$ca'(X0_'A_update_a_update_fun_bool_fun',X0_'A_update_a_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$z' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_c_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 3.28/16.40 ( 'rel_fun$z'(X0_'A_update_c_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'member$a' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update',X0_'B_update_set'] : % 3.28/16.40 ( 'member$a'(X0_'B_update',X0_'B_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'pred_fun$b' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_bool_fun',X0_'A_update_bool_fun',X0_'B_update_a_update_fun'] : % 3.28/16.40 ( 'pred_fun$b'(X0_'B_update_bool_fun',X0_'A_update_bool_fun',X0_'B_update_a_update_fun') <=> % 3.28/16.40 $false % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'compatible$s' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_a_c_prod_update_fun',X0_'B_update_a_c_prod_update_fun'] : % 3.28/16.40 ( 'compatible$s'(X0_'A_update_a_c_prod_update_fun',X0_'B_update_a_c_prod_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'pred_fun$' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_bool_fun',X0_'B_update_bool_fun',X0_'A_update_b_update_fun'] : % 3.28/16.40 ( 'pred_fun$'(X0_'A_update_bool_fun',X0_'B_update_bool_fun',X0_'A_update_b_update_fun') <=> % 3.28/16.40 $false % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$ba' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 3.28/16.40 ( 'rel_fun$ba'(X0_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'fun_app$' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun_bool_fun',X0_'A_update_b_update_fun'] : % 3.28/16.40 ( 'fun_app$'(X0_'A_update_b_update_fun_bool_fun',X0_'A_update_b_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$c' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_c_update_fun',X0_'A_update_set'] : % 3.28/16.40 ( 'inj_on$c'(X0_'A_update_c_update_fun',X0_'A_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'preregister$' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_c_update_fun'] : % 3.28/16.40 ( 'preregister$'(X0_'C_update_c_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'compatible$w' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_a_c_prod_update_fun',X0_'A_update_a_c_prod_update_fun'] : % 3.28/16.40 ( 'compatible$w'(X0_'B_update_a_c_prod_update_fun',X0_'A_update_a_c_prod_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'iso_register$d' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_c_update_fun'] : % 3.28/16.40 ( 'iso_register$d'(X0_'C_update_c_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$m' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_b_update_fun',X0_'B_update_set'] : % 3.28/16.40 ( 'inj_on$m'(X0_'B_update_b_update_fun',X0_'B_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'compatible$g' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_a_update_fun',X0_'B_update_a_update_fun'] : % 3.28/16.40 ( 'compatible$g'(X0_'C_update_a_update_fun',X0_'B_update_a_update_fun') <=> % 3.28/16.40 $false % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'quotient3$b' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_a_update_bool_fun_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun'] : % 3.28/16.40 ( 'quotient3$b'(X0_'A_update_a_update_bool_fun_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$h' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_a_update_fun_b_update_b_update_fun_fun',X0_'B_update_a_update_fun_set'] : % 3.28/16.40 ( 'inj_on$h'(X0_'B_update_a_update_fun_b_update_b_update_fun_fun',X0_'B_update_a_update_fun_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$bh' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'] : % 3.28/16.40 ( 'rel_fun$bh'(X0_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'iso_tuple_update_accessor_cong_assist$b' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun'] : % 3.28/16.40 ( 'iso_tuple_update_accessor_cong_assist$b'(X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'fun_app$k' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_bool_fun',X0_'B_update'] : % 3.28/16.40 ( 'fun_app$k'(X0_'B_update_bool_fun',X0_'B_update') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$o' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'] : % 3.28/16.40 ( 'rel_fun$o'(X0_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'pred_fun$d' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_bool_fun',X1_'C_update_bool_fun',X0_'C_update_c_update_fun'] : % 3.28/16.40 ( 'pred_fun$d'(X0_'C_update_bool_fun',X1_'C_update_bool_fun',X0_'C_update_c_update_fun') <=> % 3.28/16.40 $false % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$j' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_c_update_fun',X0_'C_update_set'] : % 3.28/16.40 ( 'inj_on$j'(X0_'C_update_c_update_fun',X0_'C_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'register$f' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_a_prod_update_a_c_prod_update_fun'] : % 3.28/16.40 ( 'register$f'(X0_'B_a_prod_update_a_c_prod_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'compatible$v' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_c_a_prod_update_fun',X0_'B_update_c_a_prod_update_fun'] : % 3.28/16.40 ( 'compatible$v'(X0_'A_update_c_a_prod_update_fun',X0_'B_update_c_a_prod_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'register$i' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_c_update_fun'] : % 3.28/16.40 ( 'register$i'(X0_'B_update_c_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$e' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_a_update_fun_set'] : % 3.28/16.40 ( 'inj_on$e'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_a_update_fun_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'iso_register$a' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun'] : % 3.28/16.40 ( 'iso_register$a'(X0_'A_update_b_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$i' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_a_update_fun',X0_'A_update_set'] : % 3.28/16.40 ( 'inj_on$i'(X0_'A_update_a_update_fun',X0_'A_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$j' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 3.28/16.40 ( 'rel_fun$j'(X0_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'inj_on$a' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_a_update_fun',X0_'C_update_set'] : % 3.28/16.40 ( 'inj_on$a'(X0_'C_update_a_update_fun',X0_'C_update_set') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'fun_app$a' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'C_update_a_update_fun_bool_fun',X0_'C_update_a_update_fun'] : % 3.28/16.40 ( 'fun_app$a'(X0_'C_update_a_update_fun_bool_fun',X0_'C_update_a_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'register$c' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun'] : % 3.28/16.40 ( 'register$c'(X0_'A_update_b_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'preregister$b' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_a_update_fun'] : % 3.28/16.40 ( 'preregister$b'(X0_'A_update_a_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'register$l' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_a_update_fun'] : % 3.28/16.40 ( 'register$l'(X0_'A_update_a_update_fun') <=> % 3.28/16.40 $true % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'quotient3$c' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun'] : % 3.28/16.40 ( 'quotient3$c'(X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun') <=> % 3.28/16.40 $false % 3.28/16.40 ) % 3.28/16.40 ) % 3.28/16.40 ). % 3.28/16.40 % 3.28/16.40 %------ Positive definition of 'rel_fun$br' % 3.28/16.40 fof(lit_def,axiom, % 3.28/16.40 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$br'(X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$ae' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X1_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$ae'(X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X1_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X1_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'=X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun' ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'member$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update',X0_'C_update_set'] : % 4.42/16.40 ( 'member$b'(X0_'C_update',X0_'C_update_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$bx' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_update_bool_fun_fun',X1_'B_update_c_update_bool_fun_fun',X0_'B_update_b_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.40 ( 'rel_fun$bx'(X0_'B_update_c_update_bool_fun_fun',X1_'B_update_c_update_bool_fun_fun',X0_'B_update_b_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X1_'B_update_c_update_bool_fun_fun'=X0_'B_update_c_update_bool_fun_fun' ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'fun_app$by' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun_bool_fun',X0_'B_update_b_update_fun'] : % 4.42/16.40 ( 'fun_app$by'(X0_'B_update_b_update_fun_bool_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$an' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$an'(X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'inj_on$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun',X0_'B_update_set'] : % 4.42/16.40 ( 'inj_on$b'(X0_'B_update_a_update_fun',X0_'B_update_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'pred_fun$c' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_bool_fun',X1_'A_update_bool_fun',X0_'A_update_a_update_fun'] : % 4.42/16.40 ( 'pred_fun$c'(X0_'A_update_bool_fun',X1_'A_update_bool_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'quotient3$a' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_bool_fun_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun'] : % 4.42/16.40 ( 'quotient3$a'(X0_'B_update_b_update_bool_fun_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'quotient3$g' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_c_update_bool_fun_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.40 ( 'quotient3$g'(X0_'C_update_c_update_bool_fun_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$e' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.40 ( 'compatible$e'(X0_'A_update_b_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_register$e' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_update_fun'] : % 4.42/16.40 ( 'iso_register$e'(X0_'B_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$ar' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$ar'(X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'preregister$c' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun'] : % 4.42/16.40 ( 'preregister$c'(X0_'A_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'less_eq$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_set',X1_'B_update_set'] : % 4.42/16.40 ( 'less_eq$'(X0_'B_update_set',X1_'B_update_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_register$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun'] : % 4.42/16.40 ( 'iso_register$b'(X0_'A_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun'] : % 4.42/16.40 ( 'register$'(X0_'A_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$f' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.40 ( 'compatible$f'(X0_'B_update_a_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$e' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X1_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$e'(X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X1_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X1_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'=X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun' ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun'] : % 4.42/16.40 ( 'register$b'(X0_'C_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$h' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun',X1_'C_update_a_update_fun'] : % 4.42/16.40 ( 'compatible$h'(X0_'C_update_a_update_fun',X1_'C_update_a_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'fun_app$m' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_bool_fun',X0_'A_update'] : % 4.42/16.40 ( 'fun_app$m'(X0_'A_update_bool_fun',X0_'A_update') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$aj' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$aj'(X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$u' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_a_prod_update_fun',X1_'B_update_a_a_prod_update_fun'] : % 4.42/16.40 ( 'compatible$u'(X0_'B_update_a_a_prod_update_fun',X1_'B_update_a_a_prod_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$m' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_a_prod_update_c_update_fun'] : % 4.42/16.40 ( 'register$m'(X0_'A_a_prod_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.40 ( 'compatible$'(X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_register$h' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_a_update_fun'] : % 4.42/16.40 ( 'iso_register$h'(X0_'A_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_register$g' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun'] : % 4.42/16.40 ( 'iso_register$g'(X0_'B_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$h' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_c_update_fun'] : % 4.42/16.40 ( 'register$h'(X0_'C_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'preregister$g' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_update_fun'] : % 4.42/16.40 ( 'preregister$g'(X0_'B_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$bu' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$bu'(X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$by' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_bool_fun_fun',X1_'B_update_a_update_bool_fun_fun',X0_'B_update_b_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.40 ( 'rel_fun$by'(X0_'B_update_a_update_bool_fun_fun',X1_'B_update_a_update_bool_fun_fun',X0_'B_update_b_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X1_'B_update_a_update_bool_fun_fun'=X0_'B_update_a_update_bool_fun_fun' ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$d' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.40 ( 'compatible$d'(X0_'A_update_c_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$d' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_a_prod_update_c_c_prod_update_fun'] : % 4.42/16.40 ( 'register$d'(X0_'A_a_prod_update_c_c_prod_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'fun_app$p' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun_bool_fun',X0_'A_update_c_update_fun'] : % 4.42/16.40 ( 'fun_app$p'(X0_'A_update_c_update_fun_bool_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$p' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_update_fun',X1_'B_update_c_update_fun'] : % 4.42/16.40 ( 'compatible$p'(X0_'B_update_c_update_fun',X1_'B_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'pred_fun$e' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_bool_fun',X0_'C_update_bool_fun',X0_'B_update_c_update_fun'] : % 4.42/16.40 ( 'pred_fun$e'(X0_'B_update_bool_fun',X0_'C_update_bool_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'pred_fun$a' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_bool_fun',X0_'A_update_bool_fun',X0_'C_update_a_update_fun'] : % 4.42/16.40 ( 'pred_fun$a'(X0_'C_update_bool_fun',X0_'A_update_bool_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$bk' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X1_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$bk'(X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X1_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X1_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'=X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun' ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$s' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$s'(X0_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$bn' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$bn'(X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'pred_fun$g' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_bool_fun',X1_'B_update_bool_fun',X0_'B_update_b_update_fun'] : % 4.42/16.40 ( 'pred_fun$g'(X0_'B_update_bool_fun',X1_'B_update_bool_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$a' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.40 ( 'compatible$a'(X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$a' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun'] : % 4.42/16.40 ( 'register$a'(X0_'B_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_register$f' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_b_update_fun'] : % 4.42/16.40 ( 'iso_register$f'(X0_'C_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_register$c' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun'] : % 4.42/16.40 ( 'iso_register$c'(X0_'B_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'preregister$f' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun'] : % 4.42/16.40 ( 'preregister$f'(X0_'C_update_a_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$r' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_c_prod_update_fun',X1_'A_update_c_c_prod_update_fun'] : % 4.42/16.40 ( 'compatible$r'(X0_'A_update_c_c_prod_update_fun',X1_'A_update_c_c_prod_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$n' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_b_prod_update_a_update_fun'] : % 4.42/16.40 ( 'register$n'(X0_'B_b_prod_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'quotient3$e' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_a_update_bool_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.40 ( 'quotient3$e'(X0_'A_update_a_update_bool_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'pred_fun$f' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_bool_fun',X0_'B_update_bool_fun',X0_'C_update_b_update_fun'] : % 4.42/16.40 ( 'pred_fun$f'(X0_'C_update_bool_fun',X0_'B_update_bool_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$e' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_b_prod_update_c_a_prod_update_fun'] : % 4.42/16.40 ( 'register$e'(X0_'A_b_prod_update_c_a_prod_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$l' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun',X1_'B_update_b_update_fun'] : % 4.42/16.40 ( 'compatible$l'(X0_'B_update_b_update_fun',X1_'B_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'inj_on$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun',X0_'A_update_set'] : % 4.42/16.40 ( 'inj_on$'(X0_'A_update_b_update_fun',X0_'A_update_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_tuple_update_accessor_cong_assist$a' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun'] : % 4.42/16.40 ( 'iso_tuple_update_accessor_cong_assist$a'(X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.40 ( 'compatible$b'(X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$t' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_a_prod_update_fun',X0_'A_update_c_a_prod_update_fun'] : % 4.42/16.40 ( 'compatible$t'(X0_'B_update_c_a_prod_update_fun',X0_'A_update_c_a_prod_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$w' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$w'(X0_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'rel_fun$ax' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'] : % 4.42/16.40 ( 'rel_fun$ax'(X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'compatible$c' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun',X0_'C_update_a_update_fun'] : % 4.42/16.40 ( 'compatible$c'(X0_'B_update_a_update_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.40 $false % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'inj_on$l' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_b_update_fun',X0_'C_update_set'] : % 4.42/16.40 ( 'inj_on$l'(X0_'C_update_b_update_fun',X0_'C_update_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_tuple_update_accessor_cong_assist$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.40 ( 'iso_tuple_update_accessor_cong_assist$'(X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'fun_app$i' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_bool_fun',X0_'C_update'] : % 4.42/16.40 ( 'fun_app$i'(X0_'C_update_bool_fun',X0_'C_update') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$k' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun'] : % 4.42/16.40 ( 'register$k'(X0_'B_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$j' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_b_update_fun'] : % 4.42/16.40 ( 'register$j'(X0_'C_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'iso_register$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun'] : % 4.42/16.40 ( 'iso_register$'(X0_'C_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'preregister$a' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun'] : % 4.42/16.40 ( 'preregister$a'(X0_'B_update_b_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'preregister$d' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun'] : % 4.42/16.40 ( 'preregister$d'(X0_'B_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'register$g' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_b_prod_update_a_a_prod_update_fun'] : % 4.42/16.40 ( 'register$g'(X0_'B_b_prod_update_a_a_prod_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'fun_app$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_bool_fun',X0_'B_update_a_update_fun'] : % 4.42/16.40 ( 'fun_app$b'(X0_'B_update_a_update_fun_bool_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'inj_on$g' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_a_update_fun_set'] : % 4.42/16.40 ( 'inj_on$g'(X0_'C_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_a_update_fun_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'quotient3$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_c_update_bool_fun_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun'] : % 4.42/16.40 ( 'quotient3$'(X0_'C_update_c_update_bool_fun_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'inj_on$f' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_b_update_c_update_fun_fun',X0_'B_update_a_update_fun_set'] : % 4.42/16.40 ( 'inj_on$f'(X0_'B_update_a_update_fun_b_update_c_update_fun_fun',X0_'B_update_a_update_fun_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of 'inj_on$k' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_update_fun',X0_'B_update_set'] : % 4.42/16.40 ( 'inj_on$k'(X0_'B_update_c_update_fun',X0_'B_update_set') <=> % 4.42/16.40 $true % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$at' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update',X0_'B_b_prod_update_a_update_fun',X0_'B_b_prod_update'] : % 4.42/16.40 ( iProver_Flat_'fun_app$at'(X0_'A_update',X0_'B_b_prod_update_a_update_fun',X0_'B_b_prod_update') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'uus$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_a_update_bool_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'uus$'(X0_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_a_update_bool_fun_fun'=iProver_Domain_'A_update_a_update_bool_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'uvb$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'uvb$'(X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'register_tensor$aa' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_a_prod_update_a_b_prod_update_fun',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.40 ( iProver_Flat_'register_tensor$aa'(X0_'B_a_prod_update_a_b_prod_update_fun',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_a_prod_update_a_b_prod_update_fun'=iProver_Domain_'B_a_prod_update_a_b_prod_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$ar' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_a_prod_update',X0_'B_b_prod_update_a_a_prod_update_fun',X0_'B_b_prod_update'] : % 4.42/16.40 ( iProver_Flat_'fun_app$ar'(X0_'A_a_prod_update',X0_'B_b_prod_update_a_a_prod_update_fun',X0_'B_b_prod_update') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_a_prod_update'=iProver_Domain_'A_a_prod_update'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$v' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$v'(X0_'B_update_b_update_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$z' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update',X0_'C_update_c_update_fun',X1_'C_update'] : % 4.42/16.40 ( iProver_Flat_'fun_app$z'(X0_'C_update',X0_'C_update_c_update_fun',X1_'C_update') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'top$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_set'] : % 4.42/16.40 ( iProver_Flat_'top$b'(X0_'B_update_set') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_set'=iProver_Domain_'B_update_set'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$av' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_b_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'C_b_prod_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$av'(X0_'C_b_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'C_b_prod_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_b_prod_update_b_update_fun'=iProver_Domain_'C_b_prod_update_b_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'register_pair$c' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_c_prod_update_c_update_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun'] : % 4.42/16.40 ( iProver_Flat_'register_pair$c'(X0_'C_c_prod_update_c_update_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_c_prod_update_c_update_fun'=iProver_Domain_'C_c_prod_update_c_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'register_pair$r' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_b_prod_update_b_update_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun'] : % 4.42/16.40 ( iProver_Flat_'register_pair$r'(X0_'B_b_prod_update_b_update_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_b_prod_update_b_update_fun'=iProver_Domain_'B_b_prod_update_b_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'uuq$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'uuq$'(X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_c_update_bool_fun_fun'=iProver_Domain_'C_update_c_update_bool_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$bx' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_c_update_fun_bool_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.40 ( iProver_Flat_'fun_app$bx'(X0_'C_update_c_update_fun_bool_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_c_update_fun_bool_fun'=iProver_Domain_'C_update_c_update_fun_bool_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$at' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_a_prod_update_a_update_fun',X0_'C_b_prod_update_a_update_fun',X0_'A_a_prod_update_c_b_prod_update_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$at'(X0_'A_a_prod_update_a_update_fun',X0_'C_b_prod_update_a_update_fun',X0_'A_a_prod_update_c_b_prod_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_a_prod_update_a_update_fun'=iProver_Domain_'A_a_prod_update_a_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'map_fun$am' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'map_fun$am'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$ar' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_b_prod_update_c_update_fun',X0_'A_a_prod_update_c_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$ar'(X0_'C_b_prod_update_c_update_fun',X0_'A_a_prod_update_c_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_b_prod_update_c_update_fun'=iProver_Domain_'C_b_prod_update_c_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'image$e' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_set_b_update_set_fun',X0_'B_update_b_update_fun'] : % 4.42/16.40 ( iProver_Flat_'image$e'(X0_'B_update_set_b_update_set_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_set_b_update_set_fun'=iProver_Domain_'B_update_set_b_update_set_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'register_pair$k' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_a_prod_update_a_update_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'register_pair$k'(X0_'B_a_prod_update_a_update_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_a_prod_update_a_update_fun'=iProver_Domain_'B_a_prod_update_a_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'rel_fun$h' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'rel_fun$h'(X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$j' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$j'(X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_b_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'B_update_b_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'uug$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_a_prod_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'uug$'(X0_'B_update_c_a_prod_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_c_a_prod_update_fun'=iProver_Domain_'B_update_c_a_prod_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$aj' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun',X0_'B_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'fun_app$aj'(X0_'B_update_b_update_fun',X0_'B_update_a_update_fun_b_update_b_update_fun_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'register_tensor$f' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_c_prod_update_a_c_prod_update_fun',X0_'A_update_a_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.40 ( iProver_Flat_'register_tensor$f'(X0_'A_c_prod_update_a_c_prod_update_fun',X0_'A_update_a_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_c_prod_update_a_c_prod_update_fun'=iProver_Domain_'A_c_prod_update_a_c_prod_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'map_fun$ap' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_b_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'map_fun$ap'(X0_'B_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_b_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_a_update_fun_c_update_a_update_fun_fun'=iProver_Domain_'B_update_a_update_fun_c_update_a_update_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'map_fun$z' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'map_fun$z'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'map_fun$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'map_fun$b'(X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_a_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$bh' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$bh'(X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_b_update_fun_a_update_b_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_b_update_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$be' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'A_update_b_update_fun'] : % 4.42/16.40 ( iProver_Flat_'fun_app$be'(X0_'C_update_a_update_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'f$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'f$'(X0_'B_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$aw' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'B_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'fun_app$aw'(X0_'A_update_c_update_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$az' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_b_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'C_b_prod_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$az'(X0_'C_b_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'C_b_prod_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_b_prod_update_c_update_fun'=iProver_Domain_'C_b_prod_update_c_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'inv_into$g' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_b_update_fun',X0_'B_update_set',X0_'B_update_c_update_fun'] : % 4.42/16.40 ( iProver_Flat_'inv_into$g'(X0_'C_update_b_update_fun',X0_'B_update_set',X0_'B_update_c_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'uu$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun',X0_'A_update'] : % 4.42/16.40 ( iProver_Flat_'uu$'(X0_'B_update_a_update_fun',X0_'A_update') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'comp$bk' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_b_update_fun_c_update_c_update_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_b_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'comp$bk'(X0_'C_update_b_update_fun_c_update_c_update_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_b_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_b_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_b_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'id$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'id$b'(X0_'A_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$br' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_set',X0_'C_update_set_c_update_set_fun',X1_'C_update_set'] : % 4.42/16.40 ( iProver_Flat_'fun_app$br'(X0_'C_update_set',X0_'C_update_set_c_update_set_fun',X1_'C_update_set') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_set'=iProver_Domain_'C_update_set'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$o' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_bool_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'fun_app$o'(X0_'B_update_a_update_fun_bool_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_a_update_fun_bool_fun'=iProver_Domain_'B_update_a_update_fun_bool_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'rel_fun$bf' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'rel_fun$bf'(X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_fun_c_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'iso_tuple_update_accessor_eq_assist$b' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_a_update_bool_fun_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun',X0_'A_update',X1_'A_update_a_update_fun'] : % 4.42/16.40 ( iProver_Flat_'iso_tuple_update_accessor_eq_assist$b'(X0_'A_update_a_update_bool_fun_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun',X0_'A_update',X1_'A_update_a_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_a_update_bool_fun_fun'=iProver_Domain_'A_update_a_update_bool_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'uua$' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'A_update_c_update_fun',X0_'C_update'] : % 4.42/16.40 ( iProver_Flat_'uua$'(X0_'A_update_c_update_fun',X0_'C_update') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'fun_app$cc' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_b_update_fun_bool_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_fun'] : % 4.42/16.40 ( iProver_Flat_'fun_app$cc'(X0_'B_update_b_update_fun_bool_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_b_update_fun_bool_fun'=iProver_Domain_'B_update_b_update_fun_bool_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'rel_fun$al' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'rel_fun$al'(X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'id$u' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'C_update_set_c_update_set_fun'] : % 4.42/16.40 ( iProver_Flat_'id$u'(X0_'C_update_set_c_update_set_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'C_update_set_c_update_set_fun'=iProver_Domain_'C_update_set_c_update_set_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'inv_into$h' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_c_update_fun',X0_'C_update_set',X0_'C_update_b_update_fun'] : % 4.42/16.40 ( iProver_Flat_'inv_into$h'(X0_'B_update_c_update_fun',X0_'C_update_set',X0_'C_update_b_update_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_c_update_fun'=iProver_Domain_'B_update_c_update_fun'_1 ) % 4.42/16.40 ) % 4.42/16.40 % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ) % 4.42/16.40 ). % 4.42/16.40 % 4.42/16.40 %------ Positive definition of iProver_Flat_'map_fun$y' % 4.42/16.40 fof(lit_def,axiom, % 4.42/16.40 (! [X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X1_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 4.42/16.40 ( iProver_Flat_'map_fun$y'(X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X1_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 4.42/16.40 ( % 4.42/16.40 ( % 4.42/16.40 ( X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'=iProver_Domain_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_b_prod_update_c_b_prod_update_fun',X0_'C_update_c_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$a'(X0_'C_b_prod_update_c_b_prod_update_fun',X0_'C_update_c_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_b_prod_update_c_b_prod_update_fun'=iProver_Domain_'C_b_prod_update_c_b_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$v' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_c_update_fun_b_update_c_update_fun_fun',X0_'B_update_b_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$v'(X0_'B_update_c_update_fun_b_update_c_update_fun_fun',X0_'B_update_b_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_c_update_fun_b_update_c_update_fun_fun'=iProver_Domain_'B_update_c_update_fun_b_update_c_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$b' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$b'(X0_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$k' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_a_prod_update_a_a_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'id$k'(X0_'A_a_prod_update_a_a_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_a_prod_update_a_a_prod_update_fun'=iProver_Domain_'A_a_prod_update_a_a_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$n' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_c_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'B_c_prod_update_a_a_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$n'(X0_'B_c_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'B_c_prod_update_a_a_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_c_prod_update_b_b_prod_update_fun'=iProver_Domain_'B_c_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$w' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_c_update_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$w'(X0_'B_update_a_update_fun_b_update_c_update_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_c_update_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_c_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$af' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$af'(X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$g' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update',X0_'A_update_c_update_fun',X0_'A_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$g'(X0_'C_update',X0_'A_update_c_update_fun',X0_'A_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$j' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_b_prod_update_c_a_prod_update_fun',X0_'A_update_c_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$j'(X0_'A_b_prod_update_c_a_prod_update_fun',X0_'A_update_c_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_b_prod_update_c_a_prod_update_fun'=iProver_Domain_'A_b_prod_update_c_a_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_pair$e' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_c_prod_update_b_update_fun',X0_'C_update_b_update_fun',X1_'C_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_pair$e'(X0_'C_c_prod_update_b_update_fun',X0_'C_update_b_update_fun',X1_'C_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_c_prod_update_b_update_fun'=iProver_Domain_'C_c_prod_update_b_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bs' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_c_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_fun_b_update_b_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bs'(X0_'C_update_a_update_fun_c_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_fun_b_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_c_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$ac' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$ac'(X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'the_inv_into$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun',X0_'C_update_set',X0_'C_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'the_inv_into$'(X0_'A_update_c_update_fun',X0_'C_update_set',X0_'C_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$c' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_c_prod_update_c_c_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'id$c'(X0_'C_c_prod_update_c_c_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_c_prod_update_c_c_prod_update_fun'=iProver_Domain_'C_c_prod_update_c_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uur$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'uur$'(X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_bool_fun_fun'=iProver_Domain_'B_update_b_update_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'tensor_update$c' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_a_prod_update',X0_'C_update',X0_'A_update'] : % 4.42/16.41 ( iProver_Flat_'tensor_update$c'(X0_'C_a_prod_update',X0_'C_update',X0_'A_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_a_prod_update'=iProver_Domain_'C_a_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_pair$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_a_prod_update_a_update_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_pair$a'(X0_'A_a_prod_update_a_update_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_a_prod_update_a_update_fun'=iProver_Domain_'A_a_prod_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_pair$i' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_c_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_pair$i'(X0_'A_c_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_c_prod_update_b_update_fun'=iProver_Domain_'A_c_prod_update_b_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_update_fun_b_update_b_update_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$a'(X0_'A_update_a_update_fun_b_update_b_update_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$af' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_c_update_fun',X1_'B_update_c_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$af'(X0_'B_update_c_update_fun',X1_'B_update_c_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_c_update_fun'=iProver_Domain_'B_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$o' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_b_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'B_b_prod_update_a_a_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$o'(X0_'B_b_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'B_b_prod_update_a_a_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_b_prod_update_b_b_prod_update_fun'=iProver_Domain_'B_b_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bi' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_fun_b_update_c_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bi'(X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_fun_b_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$ab' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun',X1_'A_update_c_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$ab'(X0_'A_update_c_update_fun',X1_'A_update_c_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'grp$g' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_set',X0_'B_update_a_update_fun_b_update_c_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'grp$g'(X0_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_set',X0_'B_update_a_update_fun_b_update_c_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'tensor_update$f' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_b_prod_update',X0_'B_update',X1_'B_update'] : % 4.42/16.41 ( iProver_Flat_'tensor_update$f'(X0_'B_b_prod_update',X0_'B_update',X1_'B_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_b_prod_update'=iProver_Domain_'B_b_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$v' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_b_prod_update_b_c_prod_update_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$v'(X0_'C_b_prod_update_b_c_prod_update_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_b_prod_update_b_c_prod_update_fun'=iProver_Domain_'C_b_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$b' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_a_prod_update_c_a_prod_update_fun',X0_'C_update_c_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$b'(X0_'C_a_prod_update_c_a_prod_update_fun',X0_'C_update_c_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_a_prod_update_c_a_prod_update_fun'=iProver_Domain_'C_a_prod_update_c_a_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$r' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_bool_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$r'(X0_'A_update_b_update_fun_bool_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_bool_fun'=iProver_Domain_'A_update_b_update_fun_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'grp$b' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_update_bool_fun_fun',X0_'A_update_set',X0_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'grp$b'(X0_'A_update_a_update_bool_fun_fun',X0_'A_update_set',X0_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_update_bool_fun_fun'=iProver_Domain_'A_update_a_update_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$bs' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_set',X0_'B_update_set_b_update_set_fun',X1_'B_update_set'] : % 4.42/16.41 ( iProver_Flat_'fun_app$bs'(X0_'B_update_set',X0_'B_update_set_b_update_set_fun',X1_'B_update_set') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_set'=iProver_Domain_'B_update_set'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$ar' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$ar'(X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_pair$l' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_b_prod_update_a_update_fun',X0_'A_update_a_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_pair$l'(X0_'A_b_prod_update_a_update_fun',X0_'A_update_a_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_b_prod_update_a_update_fun'=iProver_Domain_'A_b_prod_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uuy$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_bool_fun',X0_'A_update_set'] : % 4.42/16.41 ( iProver_Flat_'uuy$'(X0_'B_update_a_update_fun_bool_fun',X0_'A_update_set') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_bool_fun'=iProver_Domain_'B_update_a_update_fun_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$ak' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_b_update_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$ak'(X0_'B_update_a_update_fun_b_update_b_update_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$k' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_update_fun',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$k'(X0_'A_update_a_update_fun',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$n' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_bool_fun',X0_'A_update_a_update_bool_fun_fun',X0_'A_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$n'(X0_'A_update_bool_fun',X0_'A_update_a_update_bool_fun_fun',X0_'A_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_bool_fun'=iProver_Domain_'A_update_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uva$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'uva$'(X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$az' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$az'(X0_'B_update_a_update_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bv' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bv'(X0_'B_update_a_update_fun_b_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_fun_c_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$am' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$am'(X0_'C_update_c_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun_b_update_c_update_fun_bool_fun_fun'=iProver_Domain_'C_update_c_update_fun_b_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$m' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$m'(X0_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$s' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$s'(X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_update_fun_c_update_b_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_c_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$ab' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_a_prod_update_a_c_prod_update_fun',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$ab'(X0_'C_a_prod_update_a_c_prod_update_fun',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_a_prod_update_a_c_prod_update_fun'=iProver_Domain_'C_a_prod_update_a_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$am' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X1_'C_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$am'(X0_'C_update_c_update_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X1_'C_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'tensor_update$d' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_b_prod_update',X0_'A_update',X0_'B_update'] : % 4.42/16.41 ( iProver_Flat_'tensor_update$d'(X0_'A_b_prod_update',X0_'A_update',X0_'B_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_b_prod_update'=iProver_Domain_'A_b_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$i' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_a_prod_update_c_c_prod_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$i'(X0_'A_a_prod_update_c_c_prod_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_a_prod_update_c_c_prod_update_fun'=iProver_Domain_'A_a_prod_update_c_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$q' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_c_update_fun_b_update_c_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'id$q'(X0_'B_update_c_update_fun_b_update_c_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_c_update_fun_b_update_c_update_fun_fun'=iProver_Domain_'B_update_c_update_fun_b_update_c_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id_update$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update'] : % 4.42/16.41 ( iProver_Flat_'id_update$'(X0_'C_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bl' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bl'(X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_b_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$bo' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$bo'(X0_'B_update_b_update_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$f' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$f'(X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_b_update_a_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_b_update_a_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'tensor_update$b' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_c_prod_update',X0_'C_update',X1_'C_update'] : % 4.42/16.41 ( iProver_Flat_'tensor_update$b'(X0_'C_c_prod_update',X0_'C_update',X1_'C_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_c_prod_update'=iProver_Domain_'C_c_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$o' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun_a_update_a_update_fun_fun',X0_'A_update_c_update_fun',X0_'C_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$o'(X0_'C_update_c_update_fun_a_update_a_update_fun_fun',X0_'A_update_c_update_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$ad' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_b_update_c_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$ad'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_b_update_c_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$f' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_c_prod_update_b_c_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'id$f'(X0_'B_c_prod_update_b_c_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_c_prod_update_b_c_prod_update_fun'=iProver_Domain_'B_c_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$b' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$b'(X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$g' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'A_update_a_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$g'(X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'A_update_a_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_a_update_c_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_c_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$c' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'A_update_b_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$c'(X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'A_update_b_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_a_update_c_update_fun_fun'=iProver_Domain_'B_update_a_update_fun_a_update_c_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$e' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_a_prod_update_c_a_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'id$e'(X0_'C_a_prod_update_c_a_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_a_prod_update_c_a_prod_update_fun'=iProver_Domain_'C_a_prod_update_c_a_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$c' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_c_prod_update_b_c_prod_update_fun',X0_'B_update_b_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$c'(X0_'B_c_prod_update_b_c_prod_update_fun',X0_'B_update_b_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_c_prod_update_b_c_prod_update_fun'=iProver_Domain_'B_c_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uuu$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun',X0_'C_update_set',X0_'C_update_a_update_fun',X0_'C_update'] : % 4.42/16.41 ( iProver_Flat_'uuu$'(X0_'A_update_c_update_fun',X0_'C_update_set',X0_'C_update_a_update_fun',X0_'C_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$ag' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update',X0_'C_update_a_update_fun',X0_'C_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$ag'(X0_'A_update',X0_'C_update_a_update_fun',X0_'C_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uuc$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_c_prod_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'uuc$'(X0_'A_update_c_c_prod_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_c_prod_update_fun'=iProver_Domain_'A_update_c_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$ce' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_fun_bool_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$ce'(X0_'B_update_b_update_fun_bool_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_fun_bool_fun'=iProver_Domain_'B_update_b_update_fun_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uun$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_bool_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'uun$'(X0_'A_update_bool_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_bool_fun'=iProver_Domain_'A_update_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$ab' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update',X0_'A_update_a_update_fun',X1_'A_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$ab'(X0_'A_update',X0_'A_update_a_update_fun',X1_'A_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$q' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_b_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$q'(X0_'C_b_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_b_prod_update_b_c_prod_update_fun'=iProver_Domain_'C_b_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bt' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_b_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bt'(X0_'C_update_b_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_b_update_fun_b_update_b_update_fun_bool_fun_fun'=iProver_Domain_'C_update_b_update_fun_b_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'image$f' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_set_a_update_set_fun',X0_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'image$f'(X0_'A_update_set_a_update_set_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_set_a_update_set_fun'=iProver_Domain_'A_update_set_a_update_set_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$m' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_a_prod_update_b_b_prod_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$m'(X0_'A_a_prod_update_b_b_prod_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_a_prod_update_b_b_prod_update_fun'=iProver_Domain_'A_a_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$bl' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_b_update_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$bl'(X0_'C_update_b_update_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'iso_tuple_update_accessor_eq_assist$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_bool_fun_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun',X0_'B_update',X1_'B_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'iso_tuple_update_accessor_eq_assist$a'(X0_'B_update_b_update_bool_fun_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun',X0_'B_update',X1_'B_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_bool_fun_fun'=iProver_Domain_'B_update_b_update_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'collect$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_set',X0_'C_update_a_update_fun_bool_fun'] : % 4.42/16.41 ( iProver_Flat_'collect$a'(X0_'C_update_a_update_fun_set',X0_'C_update_a_update_fun_bool_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_set'=iProver_Domain_'C_update_a_update_fun_set'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$q' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_c_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$q'(X0_'C_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_c_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_b_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'C_update_b_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$bv' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update',X0_'A_update_set_a_update_fun',X0_'A_update_set'] : % 4.42/16.41 ( iProver_Flat_'fun_app$bv'(X0_'A_update',X0_'A_update_set_a_update_fun',X0_'A_update_set') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$bl' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun_c_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$bl'(X0_'C_update_c_update_fun_c_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun_c_update_b_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_pair$p' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_c_prod_update_a_update_fun',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_pair$p'(X0_'C_c_prod_update_a_update_fun',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_c_prod_update_a_update_fun'=iProver_Domain_'C_c_prod_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'the_inv_into$e' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun',X0_'A_update_set',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'the_inv_into$e'(X0_'C_update_a_update_fun',X0_'A_update_set',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'grp$i' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_set',X0_'C_update_a_update_fun_c_update_b_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'grp$i'(X0_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_set',X0_'C_update_a_update_fun_c_update_b_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'image$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_set',X0_'A_update_b_update_fun',X0_'A_update_set'] : % 4.42/16.41 ( iProver_Flat_'image$'(X0_'B_update_set',X0_'A_update_b_update_fun',X0_'A_update_set') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_set'=iProver_Domain_'B_update_set'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$aq' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_b_prod_update_a_update_fun',X0_'B_a_prod_update_a_update_fun',X0_'A_b_prod_update_b_a_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$aq'(X0_'A_b_prod_update_a_update_fun',X0_'B_a_prod_update_a_update_fun',X0_'A_b_prod_update_b_a_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_b_prod_update_a_update_fun'=iProver_Domain_'A_b_prod_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$y' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X1_'A_update_b_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$y'(X0_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X1_'A_update_b_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun'=iProver_Domain_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$ay' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X1_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$ay'(X0_'A_update_c_update_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bb' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bb'(X0_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$l' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'id$l'(X0_'C_update_c_update_fun_c_update_c_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$h' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$h'(X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_a_update_b_update_fun_fun'=iProver_Domain_'B_update_a_update_fun_a_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$e' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_a_prod_update',X0_'B_update_a_a_prod_update_fun',X0_'B_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$e'(X0_'A_a_prod_update',X0_'B_update_a_a_prod_update_fun',X0_'B_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_a_prod_update'=iProver_Domain_'A_a_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bj' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bj'(X0_'B_update_b_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_fun_b_update_c_update_fun_bool_fun_fun'=iProver_Domain_'B_update_b_update_fun_b_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$au' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$au'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$z' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_a_prod_update_b_a_prod_update_fun',X0_'C_update_b_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$z'(X0_'C_a_prod_update_b_a_prod_update_fun',X0_'C_update_b_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_a_prod_update_b_a_prod_update_fun'=iProver_Domain_'C_a_prod_update_b_a_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bc' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_fun_c_update_c_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bc'(X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_b_update_fun_c_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$ae' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$ae'(X0_'C_update_c_update_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bm' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bm'(X0_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun'=iProver_Domain_'B_update_b_update_fun_b_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'image$g' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_set',X0_'B_update_c_update_fun',X0_'B_update_set'] : % 4.42/16.41 ( iProver_Flat_'image$g'(X0_'C_update_set',X0_'B_update_c_update_fun',X0_'B_update_set') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_set'=iProver_Domain_'C_update_set'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$av' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun_b_update_b_update_fun_fun',X0_'B_update_c_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$av'(X0_'C_update_c_update_fun_b_update_b_update_fun_fun',X0_'B_update_c_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'grp$d' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_set',X0_'A_update_b_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'grp$d'(X0_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_fun_set',X0_'A_update_b_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$i' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$i'(X0_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun'=iProver_Domain_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$bc' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun',X0_'A_update_c_update_fun_a_update_b_update_fun_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$bc'(X0_'A_update_b_update_fun',X0_'A_update_c_update_fun_a_update_b_update_fun_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$n' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'id$n'(X0_'A_update_a_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uuw$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_bool_fun',X0_'B_update_set'] : % 4.42/16.41 ( iProver_Flat_'uuw$'(X0_'A_update_b_update_fun_bool_fun',X0_'B_update_set') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_bool_fun'=iProver_Domain_'A_update_b_update_fun_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$bp' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun',X0_'B_update_b_update_fun_c_update_c_update_fun_fun',X0_'B_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$bp'(X0_'C_update_c_update_fun',X0_'B_update_b_update_fun_c_update_c_update_fun_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_pair$s' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_c_prod_update_c_update_fun',X0_'B_update_c_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_pair$s'(X0_'B_c_prod_update_c_update_fun',X0_'B_update_c_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_c_prod_update_c_update_fun'=iProver_Domain_'B_c_prod_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$h' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_a_prod_update',X0_'A_update_c_a_prod_update_fun',X0_'A_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$h'(X0_'C_a_prod_update',X0_'A_update_c_a_prod_update_fun',X0_'A_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_a_prod_update'=iProver_Domain_'C_a_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$bk' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun',X0_'C_update_b_update_fun_c_update_c_update_fun_fun',X0_'C_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'fun_app$bk'(X0_'C_update_c_update_fun',X0_'C_update_b_update_fun_c_update_c_update_fun_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$u' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update',X0_'A_update_b_update_fun',X0_'A_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$u'(X0_'B_update',X0_'A_update_b_update_fun',X0_'A_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$bd' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_b_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$bd'(X0_'C_update_b_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_b_update_fun_c_update_c_update_fun_bool_fun_fun'=iProver_Domain_'C_update_b_update_fun_c_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$d' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_b_prod_update_c_b_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'id$d'(X0_'C_b_prod_update_c_b_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_b_prod_update_c_b_prod_update_fun'=iProver_Domain_'C_b_prod_update_c_b_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'grp$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_bool_fun_fun',X0_'B_update_set',X0_'B_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'grp$a'(X0_'B_update_b_update_bool_fun_fun',X0_'B_update_set',X0_'B_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_bool_fun_fun'=iProver_Domain_'B_update_b_update_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$a'(X0_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$aq' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun_b_update_c_update_fun_fun',X0_'B_update_c_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$aq'(X0_'C_update_c_update_fun_b_update_c_update_fun_fun',X0_'B_update_c_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun_b_update_c_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_b_update_c_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$at' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X1_'C_update_b_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$at'(X0_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun',X1_'C_update_b_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun'=iProver_Domain_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp_update$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_c_update_fun',X0_'C_update'] : % 4.42/16.41 ( iProver_Flat_'comp_update$'(X0_'C_update_c_update_fun',X0_'C_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'pred_DEADID$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_bool_fun'] : % 4.42/16.41 ( iProver_Flat_'pred_DEADID$'(X0_'C_update_bool_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_bool_fun'=iProver_Domain_'C_update_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$q' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$q'(X0_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$ao' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$ao'(X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$a' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$a'(X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$ab' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$ab'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$bi' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$bi'(X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_a_update_fun_c_update_a_update_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_a_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$n' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_c_prod_update_a_a_prod_update_fun',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$n'(X0_'C_c_prod_update_a_a_prod_update_fun',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_c_prod_update_a_a_prod_update_fun'=iProver_Domain_'C_c_prod_update_a_a_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$aa' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$aa'(X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$ap' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_a_prod_update_b_update_fun',X0_'A_c_prod_update_b_update_fun',X0_'C_a_prod_update_a_c_prod_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$ap'(X0_'C_a_prod_update_b_update_fun',X0_'A_c_prod_update_b_update_fun',X0_'C_a_prod_update_a_c_prod_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_a_prod_update_b_update_fun'=iProver_Domain_'C_a_prod_update_b_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uuk$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_bool_fun'] : % 4.42/16.41 ( iProver_Flat_'uuk$'(X0_'A_update_bool_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_bool_fun'=iProver_Domain_'A_update_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uue$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_a_c_prod_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'uue$'(X0_'A_update_a_c_prod_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_a_c_prod_update_fun'=iProver_Domain_'A_update_a_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$aw' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_c_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$aw'(X0_'B_update_c_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_c_update_fun_b_update_c_update_fun_bool_fun_fun'=iProver_Domain_'B_update_c_update_fun_b_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'the_inv_into$g' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_c_update_fun',X0_'C_update_set',X0_'C_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'the_inv_into$g'(X0_'B_update_c_update_fun',X0_'C_update_set',X0_'C_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_c_update_fun'=iProver_Domain_'B_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$ah' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun',X0_'C_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$ah'(X0_'A_update_c_update_fun',X0_'C_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$af' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$af'(X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uum$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update_bool_fun'] : % 4.42/16.41 ( iProver_Flat_'uum$'(X0_'C_update_bool_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update_bool_fun'=iProver_Domain_'C_update_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$x' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$x'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'rel_fun$d' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'rel_fun$d'(X0_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$d' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$d'(X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'the_inv_into$b' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun',X0_'A_update_set',X0_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'the_inv_into$b'(X0_'B_update_a_update_fun',X0_'A_update_set',X0_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$as' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_update',X0_'A_a_prod_update_c_update_fun',X0_'A_a_prod_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$as'(X0_'C_update',X0_'A_a_prod_update_c_update_fun',X0_'A_a_prod_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'uuv$' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_b_update_fun',X0_'B_update_set',X0_'B_update_a_update_fun',X0_'B_update'] : % 4.42/16.41 ( iProver_Flat_'uuv$'(X0_'A_update_b_update_fun',X0_'B_update_set',X0_'B_update_a_update_fun',X0_'B_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'map_fun$i' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update_c_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'map_fun$i'(X0_'A_update_c_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update_c_update_fun_a_update_b_update_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$aq' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_c_prod_update',X0_'B_a_prod_update_a_c_prod_update_fun',X0_'B_a_prod_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$aq'(X0_'A_c_prod_update',X0_'B_a_prod_update_a_c_prod_update_fun',X0_'B_a_prod_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_c_prod_update'=iProver_Domain_'A_c_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$d' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'A_update',X0_'B_update_a_update_fun',X0_'B_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$d'(X0_'A_update',X0_'B_update_a_update_fun',X0_'B_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'comp$bn' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_bool_fun',X0_'A_update_bool_fun',X0_'B_update_a_update_fun'] : % 4.42/16.41 ( iProver_Flat_'comp$bn'(X0_'B_update_bool_fun',X0_'A_update_bool_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_bool_fun'=iProver_Domain_'B_update_bool_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'id$m' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_b_update_fun_b_update_b_update_fun_fun'] : % 4.42/16.41 ( iProver_Flat_'id$m'(X0_'B_update_b_update_fun_b_update_b_update_fun_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_b_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'B_update_b_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'inv_into$b' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_update_a_update_fun',X0_'A_update_set',X0_'A_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'inv_into$b'(X0_'B_update_a_update_fun',X0_'A_update_set',X0_'A_update_b_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$k' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_a_prod_update_a_c_prod_update_fun',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$k'(X0_'B_a_prod_update_a_c_prod_update_fun',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'B_a_prod_update_a_c_prod_update_fun'=iProver_Domain_'B_a_prod_update_a_c_prod_update_fun'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'fun_app$ao' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'C_c_prod_update',X0_'A_a_prod_update_c_c_prod_update_fun',X0_'A_a_prod_update'] : % 4.42/16.41 ( iProver_Flat_'fun_app$ao'(X0_'C_c_prod_update',X0_'A_a_prod_update_c_c_prod_update_fun',X0_'A_a_prod_update') <=> % 4.42/16.41 ( % 4.42/16.41 ( % 4.42/16.41 ( X0_'C_c_prod_update'=iProver_Domain_'C_c_prod_update'_1 ) % 4.42/16.41 ) % 4.42/16.41 % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ) % 4.42/16.41 ). % 4.42/16.41 % 4.42/16.41 %------ Positive definition of iProver_Flat_'register_tensor$d' % 4.42/16.41 fof(lit_def,axiom, % 4.42/16.41 (! [X0_'B_b_prod_update_b_b_prod_update_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun'] : % 4.42/16.41 ( iProver_Flat_'register_tensor$d'(X0_'B_b_prod_update_b_b_prod_update_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_b_prod_update_b_b_prod_update_fun'=iProver_Domain_'B_b_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$j' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_b_prod_update_a_b_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'id$j'(X0_'A_b_prod_update_a_b_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_b_prod_update_a_b_prod_update_fun'=iProver_Domain_'A_b_prod_update_a_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$f' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_c_prod_update_a_update_fun',X0_'B_update_a_update_fun',X0_'C_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$f'(X0_'B_c_prod_update_a_update_fun',X0_'B_update_a_update_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_c_prod_update_a_update_fun'=iProver_Domain_'B_c_prod_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$al' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X1_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$al'(X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X1_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$ak' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$ak'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$aj' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_c_update_fun',X0_'B_update_c_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$aj'(X0_'A_update_c_update_fun',X0_'B_update_c_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uux$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_bool_fun',X0_'A_update_set'] : % 4.42/16.42 ( iProver_Flat_'uux$'(X0_'C_update_a_update_fun_bool_fun',X0_'A_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_bool_fun'=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$g' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_b_prod_update_b_b_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'id$g'(X0_'B_b_prod_update_b_b_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_b_prod_update_b_b_prod_update_fun'=iProver_Domain_'B_b_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$aw' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_fun_c_update_c_update_fun_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$aw'(X0_'B_update_b_update_fun_c_update_c_update_fun_fun',X0_'C_update_b_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'B_update_b_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$bb' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_b_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'B_b_prod_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$bb'(X0_'B_b_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'B_b_prod_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_b_prod_update_c_update_fun'=iProver_Domain_'B_b_prod_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$az' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_c_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$az'(X0_'B_update_c_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_c_update_fun_b_update_b_update_fun_bool_fun_fun'=iProver_Domain_'B_update_c_update_fun_b_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$u' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$u'(X0_'C_update_b_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun_c_update_b_update_fun_fun'=iProver_Domain_'C_update_b_update_fun_c_update_b_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'top$c' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_set'] : % 4.42/16.42 ( iProver_Flat_'top$c'(X0_'A_update_b_update_fun_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_set'=iProver_Domain_'A_update_b_update_fun_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$s' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_a_prod_update',X0_'B_update_c_a_prod_update_fun',X0_'B_update'] : % 4.42/16.42 ( iProver_Flat_'fun_app$s'(X0_'C_a_prod_update',X0_'B_update_c_a_prod_update_fun',X0_'B_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_a_prod_update'=iProver_Domain_'C_a_prod_update'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$bw' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$bw'(X0_'B_update_b_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'=iProver_Domain_'B_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$x' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$x'(X0_'C_update_b_update_fun',X0_'C_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$ab' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$ab'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$q' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_c_update_fun_bool_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$q'(X0_'A_update_c_update_fun_bool_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_c_update_fun_bool_fun'=iProver_Domain_'A_update_c_update_fun_bool_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$ap' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_c_update_b_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$ap'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_c_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$bd' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'B_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$bd'(X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'B_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$i' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun',X0_'B_update_b_update_fun',X1_'C_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$i'(X0_'C_update_b_update_fun',X0_'B_update_b_update_fun',X1_'C_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$bt' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update',X0_'C_update_set_c_update_fun',X0_'C_update_set'] : % 4.42/16.42 ( iProver_Flat_'fun_app$bt'(X0_'C_update',X0_'C_update_set_c_update_fun',X0_'C_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'id$'(X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$s' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_b_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'B_b_prod_update_a_a_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$s'(X0_'B_b_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'B_b_prod_update_a_a_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_b_prod_update_b_c_prod_update_fun'=iProver_Domain_'B_b_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uul$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_bool_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'uul$'(X0_'B_update_bool_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_bool_fun'=iProver_Domain_'B_update_bool_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$g' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$g'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'relcompp$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun',X2_'C_update_c_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'relcompp$a'(X0_'C_update_c_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun',X2_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_bool_fun_fun'=iProver_Domain_'C_update_c_update_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$bu' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update',X0_'B_update_set_b_update_fun',X0_'B_update_set'] : % 4.42/16.42 ( iProver_Flat_'fun_app$bu'(X0_'B_update',X0_'B_update_set_b_update_fun',X0_'B_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'grp$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_bool_fun_fun',X0_'C_update_set',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'grp$'(X0_'C_update_c_update_bool_fun_fun',X0_'C_update_set',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_bool_fun_fun'=iProver_Domain_'C_update_c_update_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'id$a'(X0_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$c' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$c'(X0_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'image$d' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_set_c_update_set_fun',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'image$d'(X0_'C_update_set_c_update_set_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_set_c_update_set_fun'=iProver_Domain_'C_update_set_c_update_set_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$o' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_c_prod_update_b_b_prod_update_fun',X0_'C_update_b_update_fun',X1_'C_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$o'(X0_'C_c_prod_update_b_b_prod_update_fun',X0_'C_update_b_update_fun',X1_'C_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_c_prod_update_b_b_prod_update_fun'=iProver_Domain_'C_c_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$ay' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_c_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'C_c_prod_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$ay'(X0_'C_c_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'C_c_prod_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_c_prod_update_c_update_fun'=iProver_Domain_'C_c_prod_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$ag' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$ag'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'image$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_set',X0_'C_update_a_update_fun',X0_'C_update_set'] : % 4.42/16.42 ( iProver_Flat_'image$a'(X0_'A_update_set',X0_'C_update_a_update_fun',X0_'C_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_set'=iProver_Domain_'A_update_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$ae' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun_b_update_c_update_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$ae'(X0_'A_update_a_update_fun_b_update_c_update_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun_b_update_c_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_b_update_c_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'the_inv_into$f' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun',X0_'B_update_set',X0_'B_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'the_inv_into$f'(X0_'C_update_b_update_fun',X0_'B_update_set',X0_'B_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$ap' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_a_prod_update',X0_'A_b_prod_update_c_a_prod_update_fun',X0_'A_b_prod_update'] : % 4.42/16.42 ( iProver_Flat_'fun_app$ap'(X0_'C_a_prod_update',X0_'A_b_prod_update_c_a_prod_update_fun',X0_'A_b_prod_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_a_prod_update'=iProver_Domain_'C_a_prod_update'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$p' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_b_update_c_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$p'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_b_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$t' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$t'(X0_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_a_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$am' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_c_prod_update_b_update_fun',X0_'A_a_prod_update_b_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$am'(X0_'C_c_prod_update_b_update_fun',X0_'A_a_prod_update_b_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_c_prod_update_b_update_fun'=iProver_Domain_'C_c_prod_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'tensor_update$e' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_a_prod_update',X0_'B_update',X0_'A_update'] : % 4.42/16.42 ( iProver_Flat_'tensor_update$e'(X0_'B_a_prod_update',X0_'B_update',X0_'A_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_a_prod_update'=iProver_Domain_'B_a_prod_update'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$bq' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_c_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$bq'(X0_'B_update_c_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_c_update_fun_c_update_c_update_fun_bool_fun_fun'=iProver_Domain_'B_update_c_update_fun_c_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$q' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_c_prod_update_b_update_fun',X0_'B_update_b_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$q'(X0_'B_c_prod_update_b_update_fun',X0_'B_update_b_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_c_prod_update_b_update_fun'=iProver_Domain_'B_c_prod_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$v' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_c_update_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$v'(X0_'B_update_c_update_fun',X0_'B_update_a_update_fun_b_update_c_update_fun_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_c_update_fun'=iProver_Domain_'B_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uuf$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_c_prod_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'uuf$'(X0_'B_update_a_c_prod_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_c_prod_update_fun'=iProver_Domain_'B_update_a_c_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$ac' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$ac'(X0_'C_update_a_update_fun_a_update_b_update_fun_bool_fun_fun',X0_'C_update_a_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_a_update_b_update_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_a_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$an' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X1_'B_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$an'(X0_'B_update_b_update_fun',X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X1_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp_update$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun',X0_'A_update'] : % 4.42/16.42 ( iProver_Flat_'comp_update$a'(X0_'A_update_a_update_fun',X0_'A_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$l' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$l'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$bo' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_bool_fun',X0_'C_update_bool_fun',X0_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$bo'(X0_'A_update_bool_fun',X0_'C_update_bool_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_bool_fun'=iProver_Domain_'A_update_bool_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uuo$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_bool_fun'] : % 4.42/16.42 ( iProver_Flat_'uuo$'(X0_'B_update_bool_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_bool_fun'=iProver_Domain_'B_update_bool_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$r' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_c_prod_update_a_a_prod_update_fun',X0_'B_update_a_update_fun',X0_'C_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$r'(X0_'B_c_prod_update_a_a_prod_update_fun',X0_'B_update_a_update_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_c_prod_update_a_a_prod_update_fun'=iProver_Domain_'B_c_prod_update_a_a_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'inv_into$e' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_set'] : % 4.42/16.42 ( iProver_Flat_'inv_into$e'(X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'B_update_b_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$r' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun_b_update_a_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'id$r'(X0_'B_update_a_update_fun_b_update_a_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun_b_update_a_update_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_a_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$v' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$v'(X0_'A_update_a_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'=iProver_Domain_'A_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$l' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_b_prod_update_a_a_prod_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$l'(X0_'B_b_prod_update_a_a_prod_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_b_prod_update_a_a_prod_update_fun'=iProver_Domain_'B_b_prod_update_a_a_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$h' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_a_prod_update_a_a_prod_update_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$h'(X0_'A_a_prod_update_a_a_prod_update_fun',X0_'A_update_a_update_fun',X1_'A_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_a_prod_update_a_a_prod_update_fun'=iProver_Domain_'A_a_prod_update_a_a_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'top$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_set'] : % 4.42/16.42 ( iProver_Flat_'top$a'(X0_'C_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_set'=iProver_Domain_'C_update_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$bh' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'A_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$bh'(X0_'C_update_c_update_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uub$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun',X0_'B_update'] : % 4.42/16.42 ( iProver_Flat_'uub$'(X0_'A_update_b_update_fun',X0_'B_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$b' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_a_prod_update_c_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$b'(X0_'A_a_prod_update_c_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_a_prod_update_c_update_fun'=iProver_Domain_'A_a_prod_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$g' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_c_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$g'(X0_'A_c_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_c_prod_update_c_update_fun'=iProver_Domain_'A_c_prod_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$p' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$p'(X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$ad' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$ad'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$e' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_a_prod_update_b_a_prod_update_fun',X0_'B_update_b_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$e'(X0_'B_a_prod_update_b_a_prod_update_fun',X0_'B_update_b_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_a_prod_update_b_a_prod_update_fun'=iProver_Domain_'B_a_prod_update_b_a_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$ac' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$ac'(X0_'A_update_a_update_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$ah' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$ah'(X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$j' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_a_prod_update_b_update_fun',X0_'C_update_b_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$j'(X0_'C_a_prod_update_b_update_fun',X0_'C_update_b_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_a_prod_update_b_update_fun'=iProver_Domain_'C_a_prod_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'relcompp$b' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun',X2_'B_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'relcompp$b'(X0_'B_update_b_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun',X2_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_bool_fun_fun'=iProver_Domain_'B_update_b_update_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$m' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$m'(X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_a_update_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_a_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$ac' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_a_prod_update_c_b_prod_update_fun',X0_'A_update_c_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$ac'(X0_'A_a_prod_update_c_b_prod_update_fun',X0_'A_update_c_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_a_prod_update_c_b_prod_update_fun'=iProver_Domain_'A_a_prod_update_c_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'image$h' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_set',X0_'C_update_b_update_fun',X0_'C_update_set'] : % 4.42/16.42 ( iProver_Flat_'image$h'(X0_'B_update_set',X0_'C_update_b_update_fun',X0_'C_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_set'=iProver_Domain_'B_update_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uup$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_bool_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'uup$'(X0_'A_update_bool_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_bool_fun'=iProver_Domain_'A_update_bool_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$f' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$f'(X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$ao' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_a_prod_update_c_update_fun',X0_'A_c_prod_update_c_update_fun',X0_'C_a_prod_update_a_c_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$ao'(X0_'C_a_prod_update_c_update_fun',X0_'A_c_prod_update_c_update_fun',X0_'C_a_prod_update_a_c_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_a_prod_update_c_update_fun'=iProver_Domain_'C_a_prod_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$bo' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun_b_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_fun_c_update_c_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$bo'(X0_'B_update_a_update_fun_b_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_fun_c_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun_b_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_c_update_fun_fun_c_update_a_update_fun_c_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$ag' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$ag'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$j' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$j'(X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_b_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_b_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$au' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_c_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'C_c_prod_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$au'(X0_'C_c_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'C_c_prod_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_c_prod_update_b_update_fun'=iProver_Domain_'C_c_prod_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$ak' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_a_prod_update_a_update_fun',X0_'B_b_prod_update_a_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$ak'(X0_'A_a_prod_update_a_update_fun',X0_'B_b_prod_update_a_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_a_prod_update_a_update_fun'=iProver_Domain_'A_a_prod_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$ak' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_b_update_c_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$ak'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_b_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$h' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_c_update_fun',X0_'C_update_c_update_fun',X1_'B_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$h'(X0_'B_update_c_update_fun',X0_'C_update_c_update_fun',X1_'B_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_c_update_fun'=iProver_Domain_'B_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$al' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X1_'A_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$al'(X0_'A_update_a_update_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X1_'A_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$w' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_set_a_update_set_fun'] : % 4.42/16.42 ( iProver_Flat_'id$w'(X0_'A_update_set_a_update_set_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_set_a_update_set_fun'=iProver_Domain_'A_update_set_a_update_set_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_b_prod_update_a_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$'(X0_'B_b_prod_update_a_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_b_prod_update_a_update_fun'=iProver_Domain_'B_b_prod_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$p' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_b_prod_update_a_a_prod_update_fun',X0_'C_update_a_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$p'(X0_'C_b_prod_update_a_a_prod_update_fun',X0_'C_update_a_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_b_prod_update_a_a_prod_update_fun'=iProver_Domain_'C_b_prod_update_a_a_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'vimage$b' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_set_a_update_set_fun',X0_'A_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'vimage$b'(X0_'A_update_set_a_update_set_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_set_a_update_set_fun'=iProver_Domain_'A_update_set_a_update_set_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$s' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'id$s'(X0_'A_update_c_update_fun_a_update_c_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_c_update_fun_a_update_c_update_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_c_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$as' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$as'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'C_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$bq' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_set',X0_'A_update_set_a_update_set_fun',X1_'A_update_set'] : % 4.42/16.42 ( iProver_Flat_'fun_app$bq'(X0_'A_update_set',X0_'A_update_set_a_update_set_fun',X1_'A_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_set'=iProver_Domain_'A_update_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'conversep$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'conversep$a'(X0_'B_update_b_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_bool_fun_fun'=iProver_Domain_'B_update_b_update_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$n' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_b_prod_update_b_update_fun',X0_'C_update_b_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$n'(X0_'C_b_prod_update_b_update_fun',X0_'C_update_b_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_b_prod_update_b_update_fun'=iProver_Domain_'C_b_prod_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uud$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_c_c_prod_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'uud$'(X0_'A_update_c_c_prod_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_c_c_prod_update_fun'=iProver_Domain_'A_update_c_c_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$bg' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$bg'(X0_'C_update_b_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'=iProver_Domain_'C_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$h' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_a_prod_update_c_update_fun',X0_'C_update_c_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$h'(X0_'C_a_prod_update_c_update_fun',X0_'C_update_c_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_a_prod_update_c_update_fun'=iProver_Domain_'C_a_prod_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$q' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_b_prod_update_b_b_prod_update_fun',X0_'C_update_b_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$q'(X0_'C_b_prod_update_b_b_prod_update_fun',X0_'C_update_b_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_b_prod_update_b_b_prod_update_fun'=iProver_Domain_'C_b_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$ag' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun',X1_'C_update_b_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$ag'(X0_'C_update_b_update_fun',X1_'C_update_b_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$ao' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_b_update_c_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$ao'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'B_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_b_update_c_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_fun',X0_'B_update_c_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$'(X0_'C_update_c_update_fun',X0_'B_update_c_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'image$b' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_set',X0_'B_update_a_update_fun',X0_'B_update_set'] : % 4.42/16.42 ( iProver_Flat_'image$b'(X0_'A_update_set',X0_'B_update_a_update_fun',X0_'B_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_set'=iProver_Domain_'A_update_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp_update$b' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_b_update_fun',X0_'B_update'] : % 4.42/16.42 ( iProver_Flat_'comp_update$b'(X0_'B_update_b_update_fun',X0_'B_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$bf' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$bf'(X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_c_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_c_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$an' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$an'(X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'=iProver_Domain_'A_update_c_update_fun_b_update_a_update_fun_b_update_c_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$c' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_c_prod_update',X0_'B_update_a_c_prod_update_fun',X0_'B_update'] : % 4.42/16.42 ( iProver_Flat_'fun_app$c'(X0_'A_c_prod_update',X0_'B_update_a_c_prod_update_fun',X0_'B_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_c_prod_update'=iProver_Domain_'A_c_prod_update'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$l' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_c_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$l'(X0_'C_c_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_c_prod_update_b_b_prod_update_fun'=iProver_Domain_'C_c_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'collect$b' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun_set',X0_'B_update_a_update_fun_bool_fun'] : % 4.42/16.42 ( iProver_Flat_'collect$b'(X0_'B_update_a_update_fun_set',X0_'B_update_a_update_fun_bool_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun_set'=iProver_Domain_'B_update_a_update_fun_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_tensor$u' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_c_prod_update_b_c_prod_update_fun',X0_'C_update_b_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_tensor$u'(X0_'C_c_prod_update_b_c_prod_update_fun',X0_'C_update_b_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_c_prod_update_b_c_prod_update_fun'=iProver_Domain_'C_c_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$f' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$f'(X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$bg' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X1_'C_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$bg'(X0_'C_update_a_update_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X1_'C_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uut$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun',X0_'A_update_set',X0_'A_update_b_update_fun',X0_'A_update'] : % 4.42/16.42 ( iProver_Flat_'uut$'(X0_'B_update_a_update_fun',X0_'A_update_set',X0_'A_update_b_update_fun',X0_'A_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$g' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$g'(X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$x' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun',X0_'B_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$x'(X0_'A_update_b_update_fun',X0_'B_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$o' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_b_prod_update_a_update_fun',X0_'C_update_a_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$o'(X0_'C_b_prod_update_a_update_fun',X0_'C_update_a_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_b_prod_update_a_update_fun'=iProver_Domain_'C_b_prod_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'top$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_set'] : % 4.42/16.42 ( iProver_Flat_'top$'(X0_'A_update_set') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_set'=iProver_Domain_'A_update_set'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$r' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_c_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'B_c_prod_update_a_a_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$r'(X0_'B_c_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'B_c_prod_update_a_a_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_c_prod_update_b_c_prod_update_fun'=iProver_Domain_'B_c_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$m' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_b_prod_update_c_update_fun',X0_'C_update_c_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$m'(X0_'C_b_prod_update_c_update_fun',X0_'C_update_c_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_b_prod_update_c_update_fun'=iProver_Domain_'C_b_prod_update_c_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$n' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$n'(X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$u' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$u'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'the_inv_into$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun',X0_'B_update_set',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'the_inv_into$a'(X0_'A_update_b_update_fun',X0_'B_update_set',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'register_pair$d' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_a_prod_update_b_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'register_pair$d'(X0_'A_a_prod_update_b_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_a_prod_update_b_update_fun'=iProver_Domain_'A_a_prod_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$ai' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$ai'(X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'map_fun$as' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_c_update_b_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'map_fun$as'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'C_update_a_update_fun_c_update_a_update_fun_fun',X0_'C_update_c_update_fun_c_update_b_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$m' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_b_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$m'(X0_'C_b_prod_update_b_b_prod_update_fun',X0_'A_a_prod_update_b_b_prod_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_b_prod_update_b_b_prod_update_fun'=iProver_Domain_'C_b_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$as' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_b_prod_update_b_update_fun',X0_'A_a_prod_update_b_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$as'(X0_'C_b_prod_update_b_update_fun',X0_'A_a_prod_update_b_update_fun',X0_'C_b_prod_update_a_a_prod_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_b_prod_update_b_update_fun'=iProver_Domain_'C_b_prod_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$bm' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun',X0_'C_update_c_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'fun_app$bm'(X0_'C_update_b_update_fun',X0_'C_update_c_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'inv_into$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun',X0_'B_update_set',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'inv_into$'(X0_'A_update_b_update_fun',X0_'B_update_set',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'vimage$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_set_c_update_set_fun',X0_'C_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'vimage$'(X0_'C_update_set_c_update_set_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_set_c_update_set_fun'=iProver_Domain_'C_update_set_c_update_set_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'conversep$b' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_a_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'conversep$b'(X0_'A_update_a_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_a_update_bool_fun_fun'=iProver_Domain_'A_update_a_update_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'uui$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_a_prod_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.42 ( iProver_Flat_'uui$'(X0_'B_update_a_a_prod_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_a_prod_update_fun'=iProver_Domain_'B_update_a_a_prod_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'grp$e' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_c_update_bool_fun_fun',X0_'A_update_set',X0_'A_update_c_update_fun'] : % 4.42/16.42 ( iProver_Flat_'grp$e'(X0_'A_update_c_update_bool_fun_fun',X0_'A_update_set',X0_'A_update_c_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_c_update_bool_fun_fun'=iProver_Domain_'A_update_c_update_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$'(X0_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'id$v' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_set_b_update_set_fun'] : % 4.42/16.42 ( iProver_Flat_'id$v'(X0_'B_update_set_b_update_set_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_set_b_update_set_fun'=iProver_Domain_'B_update_set_b_update_set_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$bp' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$bp'(X0_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_c_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$y' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$y'(X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$aa' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'B_update',X0_'B_update_b_update_fun',X1_'B_update'] : % 4.42/16.42 ( iProver_Flat_'fun_app$aa'(X0_'B_update',X0_'B_update_b_update_fun',X1_'B_update') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$ae' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_a_update_fun',X0_'B_update_a_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$ae'(X0_'C_update_a_update_fun',X0_'B_update_a_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'f$a' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'f$a'(X0_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$bp' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'A_update_bool_fun',X0_'B_update_bool_fun',X0_'A_update_b_update_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$bp'(X0_'A_update_bool_fun',X0_'B_update_bool_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'A_update_bool_fun'=iProver_Domain_'A_update_bool_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'rel_fun$ai' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'rel_fun$ai'(X0_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'comp$bm' % 4.42/16.42 fof(lit_def,axiom, % 4.42/16.42 (! [X0_'C_update_b_update_fun_c_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_b_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.42 ( iProver_Flat_'comp$bm'(X0_'C_update_b_update_fun_c_update_b_update_fun_fun',X0_'A_update_a_update_fun_c_update_b_update_fun_fun',X0_'C_update_b_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.42 ( % 4.42/16.42 ( % 4.42/16.42 ( X0_'C_update_b_update_fun_c_update_b_update_fun_fun'=iProver_Domain_'C_update_b_update_fun_c_update_b_update_fun_fun'_1 ) % 4.42/16.42 ) % 4.42/16.42 % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ) % 4.42/16.42 ). % 4.42/16.42 % 4.42/16.42 %------ Positive definition of iProver_Flat_'fun_app$bb' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$bb'(X0_'A_update_b_update_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'conversep$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'conversep$'(X0_'C_update_c_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_bool_fun_fun'=iProver_Domain_'C_update_c_update_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$x' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_b_update_a_update_fun_fun',X0_'B_update_b_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$x'(X0_'B_update_a_update_fun_b_update_a_update_fun_fun',X0_'B_update_b_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_b_update_a_update_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_a_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$l' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_c_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$l'(X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_c_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun_a_update_b_update_fun_fun'=iProver_Domain_'C_update_a_update_fun_a_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$t' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_a_prod_update_b_a_prod_update_fun',X0_'A_b_prod_update_b_a_prod_update_fun',X0_'C_a_prod_update_a_b_prod_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$t'(X0_'C_a_prod_update_b_a_prod_update_fun',X0_'A_b_prod_update_b_a_prod_update_fun',X0_'C_a_prod_update_a_b_prod_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_a_prod_update_b_a_prod_update_fun'=iProver_Domain_'C_a_prod_update_b_a_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'grp$c' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_bool_fun_fun',X0_'B_update_set',X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'grp$c'(X0_'B_update_a_update_bool_fun_fun',X0_'B_update_set',X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_bool_fun_fun'=iProver_Domain_'B_update_a_update_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$bj' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun',X0_'C_update_b_update_fun_a_update_a_update_fun_fun',X0_'C_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$bj'(X0_'A_update_a_update_fun',X0_'C_update_b_update_fun_a_update_a_update_fun_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$ay' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_fun_b_update_b_update_fun_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$ay'(X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_fun_b_update_b_update_fun_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$aa' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun',X0_'A_update_a_update_fun',X1_'C_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$aa'(X0_'C_update_a_update_fun',X0_'A_update_a_update_fun',X1_'C_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$bi' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$bi'(X0_'A_update_a_update_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$av' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_fun_b_update_c_update_fun_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$av'(X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun',X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'B_update_c_update_fun_b_update_c_update_fun_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_c_update_fun_fun_b_update_a_update_fun_b_update_c_update_fun_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$aa' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X0_'C_update_a_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$aa'(X0_'A_update_c_update_fun_b_update_a_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X0_'C_update_a_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun_b_update_a_update_fun_bool_fun_fun'=iProver_Domain_'A_update_c_update_fun_b_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'pred_DEADID$b' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_bool_fun'] : % 4.42/16.43 ( iProver_Flat_'pred_DEADID$b'(X0_'A_update_bool_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_bool_fun'=iProver_Domain_'A_update_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_pair$t' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_b_prod_update_c_update_fun',X0_'B_update_c_update_fun',X1_'B_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_pair$t'(X0_'B_b_prod_update_c_update_fun',X0_'B_update_c_update_fun',X1_'B_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_b_prod_update_c_update_fun'=iProver_Domain_'B_b_prod_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$bd' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X1_'A_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$bd'(X0_'A_update_b_update_fun',X0_'A_update_b_update_fun_a_update_b_update_fun_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'tensor_update$a' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_a_prod_update',X0_'A_update',X1_'A_update'] : % 4.42/16.43 ( iProver_Flat_'tensor_update$a'(X0_'A_a_prod_update',X0_'A_update',X1_'A_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_a_prod_update'=iProver_Domain_'A_a_prod_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$y' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun_c_update_b_update_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$y'(X0_'C_update_a_update_fun_c_update_b_update_fun_fun',X0_'A_update_b_update_fun_c_update_a_update_fun_c_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun_c_update_b_update_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$f' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_c_prod_update',X0_'A_update_c_c_prod_update_fun',X0_'A_update'] : % 4.42/16.43 ( iProver_Flat_'fun_app$f'(X0_'C_c_prod_update',X0_'A_update_c_c_prod_update_fun',X0_'A_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_c_prod_update'=iProver_Domain_'C_c_prod_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$n' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun',X1_'A_update_c_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$n'(X0_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun',X1_'A_update_c_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun'=iProver_Domain_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$z' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$z'(X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'inv_into$c' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun',X0_'A_update_set',X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'inv_into$c'(X0_'C_update_a_update_fun',X0_'A_update_set',X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$bn' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_b_update_fun',X0_'C_update_b_update_fun_c_update_b_update_fun_fun',X1_'C_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$bn'(X0_'C_update_b_update_fun',X0_'C_update_b_update_fun_c_update_b_update_fun_fun',X1_'C_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$av' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_b_update_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_fun',X0_'A_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$av'(X0_'B_update_b_update_fun',X0_'A_update_a_update_fun_b_update_b_update_fun_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$cb' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun_bool_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$cb'(X0_'A_update_a_update_fun_bool_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun_bool_fun'=iProver_Domain_'A_update_a_update_fun_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$al' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_c_prod_update_c_update_fun',X0_'A_a_prod_update_c_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$al'(X0_'C_c_prod_update_c_update_fun',X0_'A_a_prod_update_c_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_c_prod_update_c_update_fun'=iProver_Domain_'C_c_prod_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'top$e' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_set'] : % 4.42/16.43 ( iProver_Flat_'top$e'(X0_'B_update_a_update_fun_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_set'=iProver_Domain_'B_update_a_update_fun_set'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'grp$h' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_bool_fun_fun',X0_'A_update_set',X0_'A_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'grp$h'(X0_'A_update_b_update_bool_fun_fun',X0_'A_update_set',X0_'A_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_bool_fun_fun'=iProver_Domain_'A_update_b_update_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$k' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$k'(X0_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun',X0_'B_update_a_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_a_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'id_update$b' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update'] : % 4.42/16.43 ( iProver_Flat_'id_update$b'(X0_'B_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_tensor$w' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_b_prod_update_b_c_prod_update_fun',X0_'B_update_b_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_tensor$w'(X0_'B_b_prod_update_b_c_prod_update_fun',X0_'B_update_b_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_b_prod_update_b_c_prod_update_fun'=iProver_Domain_'B_b_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$bz' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_b_update_fun_bool_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$bz'(X0_'B_update_b_update_fun_bool_fun',X0_'C_update_c_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_b_update_fun_bool_fun'=iProver_Domain_'B_update_b_update_fun_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$ah' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$ah'(X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_b_update_a_update_fun_fun',X0_'A_update_b_update_fun_a_update_a_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$aj' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$aj'(X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'=iProver_Domain_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$cd' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun_bool_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'A_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$cd'(X0_'C_update_c_update_fun_bool_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun_bool_fun'=iProver_Domain_'C_update_c_update_fun_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$aw' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_c_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'B_c_prod_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$aw'(X0_'B_c_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'B_c_prod_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_c_prod_update_b_update_fun'=iProver_Domain_'B_c_prod_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'id$h' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_a_prod_update_b_a_prod_update_fun'] : % 4.42/16.43 ( iProver_Flat_'id$h'(X0_'B_a_prod_update_b_a_prod_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_a_prod_update_b_a_prod_update_fun'=iProver_Domain_'B_a_prod_update_b_a_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'grp$j' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_set',X0_'B_update_a_update_fun_b_update_b_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'grp$j'(X0_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun',X0_'B_update_a_update_fun_set',X0_'B_update_a_update_fun_b_update_b_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'relcompp$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun',X2_'A_update_a_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'relcompp$'(X0_'A_update_a_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun',X2_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_bool_fun_fun'=iProver_Domain_'A_update_a_update_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$t' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_c_prod_update',X0_'A_update_a_c_prod_update_fun',X0_'A_update'] : % 4.42/16.43 ( iProver_Flat_'fun_app$t'(X0_'A_c_prod_update',X0_'A_update_a_c_prod_update_fun',X0_'A_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_c_prod_update'=iProver_Domain_'A_c_prod_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$at' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$at'(X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'C_update_a_update_fun_c_update_c_update_fun_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$d' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'B_update_a_update_fun',X0_'C_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$d'(X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'B_update_a_update_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun_b_update_a_update_fun_fun'=iProver_Domain_'A_update_c_update_fun_b_update_a_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$u' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_a_prod_update_b_a_prod_update_fun',X0_'A_b_prod_update_b_a_prod_update_fun',X0_'B_a_prod_update_a_b_prod_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$u'(X0_'B_a_prod_update_b_a_prod_update_fun',X0_'A_b_prod_update_b_a_prod_update_fun',X0_'B_a_prod_update_a_b_prod_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_a_prod_update_b_a_prod_update_fun'=iProver_Domain_'B_a_prod_update_b_a_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$r' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_b_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$r'(X0_'C_update_b_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_b_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_b_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$ax' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$ax'(X0_'B_update_a_update_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$c' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$c'(X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'=iProver_Domain_'B_update_a_update_fun_a_update_b_update_fun_a_update_a_update_fun_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$w' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun',X1_'A_update_b_update_fun',X0_'A_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$w'(X0_'A_update_b_update_fun',X1_'A_update_b_update_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$ax' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_b_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'B_b_prod_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$ax'(X0_'B_b_prod_update_b_update_fun',X0_'A_update_b_update_fun',X0_'B_b_prod_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_b_prod_update_b_update_fun'=iProver_Domain_'B_b_prod_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'id$t' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun_a_update_b_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'id$t'(X0_'A_update_b_update_fun_a_update_b_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun_a_update_b_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_a_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$bf' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'C_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$bf'(X0_'A_update_b_update_fun',X0_'C_update_a_update_fun_a_update_b_update_fun_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'uuh$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_a_prod_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'uuh$'(X0_'A_update_c_a_prod_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_a_prod_update_fun'=iProver_Domain_'A_update_c_a_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_tensor$y' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_a_prod_update_a_b_prod_update_fun',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_tensor$y'(X0_'C_a_prod_update_a_b_prod_update_fun',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_a_prod_update_a_b_prod_update_fun'=iProver_Domain_'C_a_prod_update_a_b_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$j' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_bool_fun',X0_'C_update_c_update_bool_fun_fun',X0_'C_update'] : % 4.42/16.43 ( iProver_Flat_'fun_app$j'(X0_'C_update_bool_fun',X0_'C_update_c_update_bool_fun_fun',X0_'C_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_bool_fun'=iProver_Domain_'C_update_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_tensor$g' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_b_prod_update_a_b_prod_update_fun',X0_'A_update_a_update_fun',X0_'B_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_tensor$g'(X0_'A_b_prod_update_a_b_prod_update_fun',X0_'A_update_a_update_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_b_prod_update_a_b_prod_update_fun'=iProver_Domain_'A_b_prod_update_a_b_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$ac' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun',X0_'C_update_a_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$ac'(X0_'B_update_a_update_fun',X0_'C_update_a_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'top$d' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun_set'] : % 4.42/16.43 ( iProver_Flat_'top$d'(X0_'C_update_a_update_fun_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun_set'=iProver_Domain_'C_update_a_update_fun_set'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'g$a' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'g$a'(X0_'C_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'the_inv_into$d' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_set'] : % 4.42/16.43 ( iProver_Flat_'the_inv_into$d'(X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'uuz$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'uuz$'(X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun'=iProver_Domain_'B_update_a_update_fun_b_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$ba' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun',X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'A_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$ba'(X0_'A_update_c_update_fun',X0_'A_update_b_update_fun_a_update_c_update_fun_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_tensor$s' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_c_prod_update_b_b_prod_update_fun',X0_'B_update_b_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_tensor$s'(X0_'B_c_prod_update_b_b_prod_update_fun',X0_'B_update_b_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_c_prod_update_b_b_prod_update_fun'=iProver_Domain_'B_c_prod_update_b_b_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'pred_DEADID$a' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_bool_fun'] : % 4.42/16.43 ( iProver_Flat_'pred_DEADID$a'(X0_'B_update_bool_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_bool_fun'=iProver_Domain_'B_update_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'inv_into$a' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun',X0_'C_update_set',X0_'C_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'inv_into$a'(X0_'A_update_c_update_fun',X0_'C_update_set',X0_'C_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'uuj$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_a_prod_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'uuj$'(X0_'B_update_a_a_prod_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_a_prod_update_fun'=iProver_Domain_'B_update_a_a_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'the_inv_into$h' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_set'] : % 4.42/16.43 ( iProver_Flat_'the_inv_into$h'(X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_b_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'B_update_b_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$an' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_a_prod_update_a_update_fun',X0_'B_c_prod_update_a_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$an'(X0_'A_a_prod_update_a_update_fun',X0_'B_c_prod_update_a_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_a_prod_update_a_update_fun'=iProver_Domain_'A_a_prod_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_tensor$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_c_prod_update_c_c_prod_update_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_tensor$'(X0_'C_c_prod_update_c_c_prod_update_fun',X0_'C_update_c_update_fun',X1_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_c_prod_update_c_c_prod_update_fun'=iProver_Domain_'C_c_prod_update_c_c_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'iso_tuple_update_accessor_eq_assist$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_bool_fun_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun',X0_'C_update',X1_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'iso_tuple_update_accessor_eq_assist$'(X0_'C_update_c_update_bool_fun_fun',X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun',X0_'C_update',X1_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_bool_fun_fun'=iProver_Domain_'C_update_c_update_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'vimage$a' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_set_b_update_set_fun',X0_'B_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'vimage$a'(X0_'B_update_set_b_update_set_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_set_b_update_set_fun'=iProver_Domain_'B_update_set_b_update_set_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$w' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$w'(X0_'B_update_b_update_fun_b_update_b_update_fun_fun',X0_'B_update_b_update_fun',X1_'B_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_b_update_fun_b_update_b_update_fun_fun'=iProver_Domain_'B_update_b_update_fun_b_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$cf' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun_bool_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$cf'(X0_'A_update_a_update_fun_bool_fun',X0_'A_update_a_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'A_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun_bool_fun'=iProver_Domain_'A_update_a_update_fun_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$ad' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'C_update_a_update_bool_fun_fun',X1_'C_update_a_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$ad'(X0_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun',X0_'C_update_a_update_bool_fun_fun',X1_'C_update_a_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun'=iProver_Domain_'C_update_c_update_fun_a_update_a_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'image$c' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_set',X0_'A_update_c_update_fun',X0_'A_update_set'] : % 4.42/16.43 ( iProver_Flat_'image$c'(X0_'C_update_set',X0_'A_update_c_update_fun',X0_'A_update_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_set'=iProver_Domain_'C_update_set'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$bg' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun_a_update_b_update_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$bg'(X0_'A_update_c_update_fun_a_update_b_update_fun_fun',X0_'B_update_a_update_fun_a_update_b_update_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun_a_update_b_update_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_tensor$x' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_b_prod_update_b_a_prod_update_fun',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_tensor$x'(X0_'A_b_prod_update_b_a_prod_update_fun',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_b_prod_update_b_a_prod_update_fun'=iProver_Domain_'A_b_prod_update_b_a_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'id_update$a' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update'] : % 4.42/16.43 ( iProver_Flat_'id_update$a'(X0_'A_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$'(X0_'B_update_b_update_fun_a_update_a_update_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_b_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'B_update_b_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$ba' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_c_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'B_c_prod_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$ba'(X0_'B_c_prod_update_c_update_fun',X0_'A_update_c_update_fun',X0_'B_c_prod_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_c_prod_update_c_update_fun'=iProver_Domain_'B_c_prod_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$r' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$r'(X0_'A_update_a_update_fun_b_update_c_update_fun_bool_fun_fun',X0_'A_update_b_update_bool_fun_fun',X0_'A_update_c_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun_b_update_c_update_fun_bool_fun_fun'=iProver_Domain_'A_update_a_update_fun_b_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'collect$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun_set',X0_'A_update_b_update_fun_bool_fun'] : % 4.42/16.43 ( iProver_Flat_'collect$'(X0_'A_update_b_update_fun_set',X0_'A_update_b_update_fun_bool_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun_set'=iProver_Domain_'A_update_b_update_fun_set'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$e' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$e'(X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'=iProver_Domain_'A_update_b_update_fun_b_update_a_update_fun_b_update_b_update_fun_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'tensor_update$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_c_prod_update',X0_'A_update',X0_'C_update'] : % 4.42/16.43 ( iProver_Flat_'tensor_update$'(X0_'A_c_prod_update',X0_'A_update',X0_'C_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_c_prod_update'=iProver_Domain_'A_c_prod_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'g$' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'g$'(X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$af' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$af'(X0_'C_update_a_update_fun_c_update_c_update_fun_fun',X0_'A_update_c_update_fun_c_update_a_update_fun_c_update_c_update_fun_fun_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'id$i' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_c_prod_update_a_c_prod_update_fun'] : % 4.42/16.43 ( iProver_Flat_'id$i'(X0_'A_c_prod_update_a_c_prod_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_c_prod_update_a_c_prod_update_fun'=iProver_Domain_'A_c_prod_update_a_c_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$ah' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update',X0_'B_update_c_update_fun',X0_'B_update'] : % 4.42/16.43 ( iProver_Flat_'fun_app$ah'(X0_'C_update',X0_'B_update_c_update_fun',X0_'B_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$ai' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun',X0_'C_update_b_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$ai'(X0_'A_update_b_update_fun',X0_'C_update_b_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'grp$f' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_set',X0_'C_update_a_update_fun_c_update_c_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'grp$f'(X0_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun',X0_'C_update_a_update_fun_set',X0_'C_update_a_update_fun_c_update_c_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_c_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$bj' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$bj'(X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'A_update_a_update_fun_c_update_c_update_fun_fun',X0_'C_update_c_update_fun_a_update_a_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$l' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_bool_fun',X0_'B_update_b_update_bool_fun_fun',X0_'B_update'] : % 4.42/16.43 ( iProver_Flat_'fun_app$l'(X0_'B_update_bool_fun',X0_'B_update_b_update_bool_fun_fun',X0_'B_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_bool_fun'=iProver_Domain_'B_update_bool_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$bc' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_a_prod_update_a_update_fun',X0_'B_update_a_update_fun',X0_'A_a_prod_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$bc'(X0_'A_a_prod_update_a_update_fun',X0_'B_update_a_update_fun',X0_'A_a_prod_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_a_prod_update_a_update_fun'=iProver_Domain_'A_a_prod_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'id$o' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_b_update_fun_c_update_b_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'id$o'(X0_'C_update_b_update_fun_c_update_b_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_b_update_fun_c_update_b_update_fun_fun'=iProver_Domain_'C_update_b_update_fun_c_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$ai' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'C_update_b_update_fun',X0_'C_update'] : % 4.42/16.43 ( iProver_Flat_'fun_app$ai'(X0_'B_update',X0_'C_update_b_update_fun',X0_'C_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'rel_fun$aq' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'rel_fun$aq'(X0_'C_update_c_update_fun_c_update_b_update_fun_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_b_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun_c_update_b_update_fun_bool_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_b_update_fun_bool_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'the_inv_into$c' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_set'] : % 4.42/16.43 ( iProver_Flat_'the_inv_into$c'(X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$t' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$t'(X0_'C_update_c_update_fun_c_update_b_update_fun_fun',X0_'C_update_c_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun_c_update_b_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_b_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'id$p' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun_c_update_a_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'id$p'(X0_'C_update_a_update_fun_c_update_a_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun_c_update_a_update_fun_fun'=iProver_Domain_'C_update_a_update_fun_c_update_a_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$p' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_c_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$p'(X0_'C_c_prod_update_b_c_prod_update_fun',X0_'A_a_prod_update_b_c_prod_update_fun',X0_'C_c_prod_update_a_a_prod_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_c_prod_update_b_c_prod_update_fun'=iProver_Domain_'C_c_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'inv_into$d' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_set'] : % 4.42/16.43 ( iProver_Flat_'inv_into$d'(X0_'C_update_c_update_fun_c_update_c_update_fun_fun',X0_'C_update_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun_c_update_c_update_fun_fun'=iProver_Domain_'C_update_c_update_fun_c_update_c_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$e' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'A_update_a_update_fun',X0_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$e'(X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'A_update_a_update_fun',X0_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun_a_update_c_update_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_c_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$be' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$be'(X0_'A_update_c_update_fun_a_update_c_update_fun_fun',X0_'B_update_a_update_fun_a_update_c_update_fun_fun',X0_'A_update_c_update_fun_b_update_a_update_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun_a_update_c_update_fun_fun'=iProver_Domain_'A_update_c_update_fun_a_update_c_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'fun_app$au' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun',X0_'B_update_b_update_fun_a_update_a_update_fun_fun',X0_'B_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_'fun_app$au'(X0_'A_update_a_update_fun',X0_'B_update_b_update_fun_a_update_a_update_fun_fun',X0_'B_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'map_fun$k' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'C_update_a_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'map_fun$k'(X0_'A_update_b_update_fun_c_update_a_update_fun_fun',X0_'C_update_a_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun_c_update_a_update_fun_fun'=iProver_Domain_'A_update_b_update_fun_c_update_a_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'register_tensor$t' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_a_prod_update_b_c_prod_update_fun',X0_'A_update_b_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_'register_tensor$t'(X0_'A_a_prod_update_b_c_prod_update_fun',X0_'A_update_b_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_a_prod_update_b_c_prod_update_fun'=iProver_Domain_'A_a_prod_update_b_c_prod_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'comp$ad' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun',X0_'A_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_'comp$ad'(X0_'B_update_a_update_fun',X0_'A_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_'inv_into$f' % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_set'] : % 4.42/16.43 ( iProver_Flat_'inv_into$f'(X0_'A_update_a_update_fun_a_update_a_update_fun_fun',X0_'A_update_set') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun_a_update_a_update_fun_fun'=iProver_Domain_'A_update_a_update_fun_a_update_a_update_fun_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK0 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update',X0_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK0(X0_'C_update',X0_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK1 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK1(X0_'B_update',X0_'B_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK2 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK2(X0_'A_update',X0_'A_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK3 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK3(X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK4 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK4(X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK5 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_c_update_fun',X1_'C_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK5(X0_'C_update_c_update_fun',X1_'C_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_c_update_fun'=iProver_Domain_'C_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK6 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_b_update_fun',X0_'B_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK6(X0_'C_update_b_update_fun',X0_'B_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_b_update_fun'=iProver_Domain_'C_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK7 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_c_update_fun',X0_'C_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK7(X0_'B_update_c_update_fun',X0_'C_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_c_update_fun'=iProver_Domain_'B_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK8 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_b_update_fun',X1_'B_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK8(X0_'B_update_b_update_fun',X1_'B_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_b_update_fun'=iProver_Domain_'B_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK9 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_a_update_fun',X1_'A_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK9(X0_'A_update_a_update_fun',X1_'A_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_a_update_fun'=iProver_Domain_'A_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK10 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update_a_update_fun',X0_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK10(X0_'C_update_a_update_fun',X0_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update_a_update_fun'=iProver_Domain_'C_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK11 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_b_update_fun',X0_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK11(X0_'A_update_b_update_fun',X0_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_b_update_fun'=iProver_Domain_'A_update_b_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK12 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update_c_update_fun',X0_'C_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK12(X0_'A_update_c_update_fun',X0_'C_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update_c_update_fun'=iProver_Domain_'A_update_c_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK13 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update_a_update_fun',X0_'A_update_b_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK13(X0_'B_update_a_update_fun',X0_'A_update_b_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update_a_update_fun'=iProver_Domain_'B_update_a_update_fun'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK14 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK14(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK15 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK15(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK16 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK16(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK17 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK17(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK18 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK18(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK19 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK19(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK20 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK20(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK21 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK21(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK22 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK22(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK23 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK23(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK24 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK24(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK25 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK25(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK26 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK26(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK27 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK27(X0_'A_update',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK28 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK28(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK29 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.43 ( iProver_Flat_sK29(X0_'B_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK30 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update',X1_'C_update',X2_'C_update'] : % 4.42/16.43 ( iProver_Flat_sK30(X0_'C_update',X1_'C_update',X2_'C_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK31 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X1_'B_update',X2_'B_update'] : % 4.42/16.43 ( iProver_Flat_sK31(X0_'B_update',X1_'B_update',X2_'B_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK32 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X1_'A_update',X2_'A_update'] : % 4.42/16.43 ( iProver_Flat_sK32(X0_'A_update',X1_'A_update',X2_'A_update') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK33 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_a_update_bool_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_b_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_sK33(X0_'A_update',X0_'A_update_a_update_bool_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_b_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK34 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_a_update_bool_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_b_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_sK34(X0_'A_update',X0_'A_update_a_update_bool_fun_fun',X0_'A_update_b_update_fun',X0_'B_update_b_update_bool_fun_fun',X1_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK35 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_sK35(X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK36 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_sK36(X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_b_update_bool_fun_fun',X0_'A_update_a_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK37 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_sK37(X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK38 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun'] : % 4.42/16.43 ( iProver_Flat_sK38(X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.43 ( % 4.42/16.43 ( % 4.42/16.43 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.43 ) % 4.42/16.43 % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ) % 4.42/16.43 ). % 4.42/16.43 % 4.42/16.43 %------ Positive definition of iProver_Flat_sK39 % 4.42/16.43 fof(lit_def,axiom, % 4.42/16.43 (! [X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK39(X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK40 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK40(X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK41 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK41(X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK42 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK42(X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK43 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK43(X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK44 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK44(X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK45 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK45(X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK46 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK46(X0_'C_update',X0_'C_update_c_update_bool_fun_fun',X0_'C_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK47 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK47(X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK48 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK48(X0_'A_update',X0_'A_update_c_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'C_update_c_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK49 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK49(X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK50 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK50(X0_'B_update',X0_'B_update_b_update_bool_fun_fun',X0_'B_update_a_update_fun',X0_'A_update_a_update_bool_fun_fun',X1_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK51 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK51(X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK52 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun'] : % 4.42/16.44 ( iProver_Flat_sK52(X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_a_update_bool_fun_fun',X0_'B_update_b_update_bool_fun_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK53 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_set',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK53(X0_'A_update',X0_'A_update_b_update_fun',X0_'A_update_set',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK54 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'C_update',X0_'C_update_a_update_fun',X0_'C_update_set',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK54(X0_'C_update',X0_'C_update_a_update_fun',X0_'C_update_set',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK55 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_set',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK55(X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_set',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK56 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'C_update',X0_'C_update_a_update_fun',X0_'C_update_set',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK56(X0_'C_update',X0_'C_update_a_update_fun',X0_'C_update_set',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'C_update'=iProver_Domain_'C_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK57 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_set',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK57(X0_'B_update',X0_'B_update_a_update_fun',X0_'B_update_set',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK58 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK58(X0_'B_update',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK59 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK59(X0_'B_update',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK60 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK60(X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK61 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK61(X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK62 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK62(X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK63 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK63(X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK64 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK64(X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK65 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK65(X0_'A_update',X0_'C_update_a_update_fun',X1_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK66 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK66(X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK67 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK67(X0_'A_update',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK68 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK68(X0_'B_update',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK69 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK69(X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK70 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK70(X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK71 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK71(X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK72 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK72(X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK73 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'B_update',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK73(X0_'B_update',X0_'A_update_b_update_fun',X0_'B_update_a_update_fun',X1_'B_update_a_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'B_update'=iProver_Domain_'B_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK74 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK74(X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK75 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK75(X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_c_update_fun',X1_'A_update_c_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK76 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK76(X0_'A_update',X0_'C_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % 4.42/16.44 %------ Positive definition of iProver_Flat_sK77 % 4.42/16.44 fof(lit_def,axiom, % 4.42/16.44 (! [X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun'] : % 4.42/16.44 ( iProver_Flat_sK77(X0_'A_update',X0_'B_update_a_update_fun',X0_'A_update_b_update_fun',X1_'A_update_b_update_fun') <=> % 4.42/16.44 ( % 4.42/16.44 ( % 4.42/16.44 ( X0_'A_update'=iProver_Domain_'A_update'_1 ) % 4.42/16.44 ) % 4.42/16.44 % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ) % 4.42/16.44 ). % 4.42/16.44 % SZS output end Model for theBenchmark.p % 4.42/16.44 %------------------------------------------------------------------------------