TSTP Solution File: ITP383_10 by iProver-SAT---3.9
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%------------------------------------------------------------------------------
% File : iProver-SAT---3.9
% Problem : ITP383_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:32:28 EDT 2024
% Result : Satisfiable 3.77s 1.16s
% Output : Model 3.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP383_10 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.14 % Command : run_iprover %s %d SAT
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 2 22:07:57 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running model finding
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.77/1.16 % SZS status Started for theBenchmark.p
% 3.77/1.16 % SZS status Satisfiable for theBenchmark.p
% 3.77/1.16
% 3.77/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.77/1.16
% 3.77/1.16 ------ iProver source info
% 3.77/1.16
% 3.77/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.77/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.77/1.16 git: non_committed_changes: false
% 3.77/1.16
% 3.77/1.16 ------ Parsing...
% 3.77/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.77/1.16 ------ Proving...
% 3.77/1.16 ------ Problem Properties
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 clauses 791
% 3.77/1.16 conjectures 0
% 3.77/1.16 EPR 52
% 3.77/1.16 Horn 745
% 3.77/1.16 unary 271
% 3.77/1.16 binary 306
% 3.77/1.16 lits 1644
% 3.77/1.16 lits eq 658
% 3.77/1.16 fd_pure 0
% 3.77/1.16 fd_pseudo 0
% 3.77/1.16 fd_cond 0
% 3.77/1.16 fd_pseudo_cond 49
% 3.77/1.16 AC symbols 0
% 3.77/1.16
% 3.77/1.16 ------ Input Options Time Limit: Unbounded
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 ------ Finite Models:
% 3.77/1.16
% 3.77/1.16 ------ lit_activity_flag true
% 3.77/1.16
% 3.77/1.16
% 3.77/1.16 ------ Trying domains of size >= : 1
% 3.77/1.16 ------
% 3.77/1.16 Current options:
% 3.77/1.16 ------
% 3.77/1.16
% 3.77/1.16 ------ Input Options
% 3.77/1.16
% 3.77/1.16 --out_options all
% 3.77/1.16 --tptp_safe_out true
% 3.77/1.16 --problem_path ""
% 3.77/1.16 --include_path ""
% 3.77/1.16 --clausifier res/vclausify_rel
% 3.77/1.16 --clausifier_options --mode tclausify -t 300.00 --show_fool true -updr off
% 3.77/1.16 --stdin false
% 3.77/1.16 --proof_out true
% 3.77/1.16 --proof_dot_file ""
% 3.77/1.16 --proof_reduce_dot []
% 3.77/1.16 --suppress_sat_res false
% 3.77/1.16 --suppress_unsat_res true
% 3.77/1.16 --stats_out none
% 3.77/1.16 --stats_mem false
% 3.77/1.16 --theory_stats_out false
% 3.77/1.16
% 3.77/1.16 ------ General Options
% 3.77/1.16
% 3.77/1.16 --fof false
% 3.77/1.16 --time_out_real 300.
% 3.77/1.16 --time_out_virtual -1.
% 3.77/1.16 --rnd_seed 13
% 3.77/1.16 --symbol_type_check false
% 3.77/1.16 --clausify_out false
% 3.77/1.16 --sig_cnt_out false
% 3.77/1.16 --trig_cnt_out false
% 3.77/1.16 --trig_cnt_out_tolerance 1.
% 3.77/1.16 --trig_cnt_out_sk_spl false
% 3.77/1.16 --abstr_cl_out false
% 3.77/1.16
% 3.77/1.16 ------ Interactive Mode
% 3.77/1.16
% 3.77/1.16 --interactive_mode false
% 3.77/1.16 --external_ip_address ""
% 3.77/1.16 --external_port 0
% 3.77/1.16
% 3.77/1.16 ------ Global Options
% 3.77/1.16
% 3.77/1.16 --schedule none
% 3.77/1.16 --add_important_lit false
% 3.77/1.16 --prop_solver_per_cl 500
% 3.77/1.16 --subs_bck_mult 8
% 3.77/1.16 --min_unsat_core false
% 3.77/1.16 --soft_assumptions false
% 3.77/1.16 --soft_lemma_size 3
% 3.77/1.16 --prop_impl_unit_size 0
% 3.77/1.16 --prop_impl_unit []
% 3.77/1.16 --share_sel_clauses true
% 3.77/1.17 --reset_solvers false
% 3.77/1.17 --bc_imp_inh []
% 3.77/1.17 --conj_cone_tolerance 3.
% 3.77/1.17 --extra_neg_conj none
% 3.77/1.17 --large_theory_mode true
% 3.77/1.17 --prolific_symb_bound 200
% 3.77/1.17 --lt_threshold 2000
% 3.77/1.17 --clause_weak_htbl true
% 3.77/1.17 --gc_record_bc_elim false
% 3.77/1.17
% 3.77/1.17 ------ Preprocessing Options
% 3.77/1.17
% 3.77/1.17 --preprocessing_flag false
% 3.77/1.17 --time_out_prep_mult 0.1
% 3.77/1.17 --splitting_mode input
% 3.77/1.17 --splitting_grd true
% 3.77/1.17 --splitting_cvd false
% 3.77/1.17 --splitting_cvd_svl false
% 3.77/1.17 --splitting_nvd 32
% 3.77/1.17 --sub_typing false
% 3.77/1.17 --prep_eq_flat_conj false
% 3.77/1.17 --prep_eq_flat_all_gr false
% 3.77/1.17 --prep_gs_sim true
% 3.77/1.17 --prep_unflatten true
% 3.77/1.17 --prep_res_sim true
% 3.77/1.17 --prep_sup_sim_all true
% 3.77/1.17 --prep_sup_sim_sup false
% 3.77/1.17 --prep_upred true
% 3.77/1.17 --prep_well_definedness true
% 3.77/1.17 --prep_sem_filter exhaustive
% 3.77/1.17 --prep_sem_filter_out false
% 3.77/1.17 --pred_elim true
% 3.77/1.17 --res_sim_input true
% 3.77/1.17 --eq_ax_congr_red true
% 3.77/1.17 --pure_diseq_elim true
% 3.77/1.17 --brand_transform false
% 3.77/1.17 --non_eq_to_eq false
% 3.77/1.17 --prep_def_merge true
% 3.77/1.17 --prep_def_merge_prop_impl false
% 3.77/1.17 --prep_def_merge_mbd true
% 3.77/1.17 --prep_def_merge_tr_red false
% 3.77/1.17 --prep_def_merge_tr_cl false
% 3.77/1.17 --smt_preprocessing false
% 3.77/1.17 --smt_ac_axioms fast
% 3.77/1.17 --preprocessed_out false
% 3.77/1.17 --preprocessed_stats false
% 3.77/1.17
% 3.77/1.17 ------ Abstraction refinement Options
% 3.77/1.17
% 3.77/1.17 --abstr_ref []
% 3.77/1.17 --abstr_ref_prep false
% 3.77/1.17 --abstr_ref_until_sat false
% 3.77/1.17 --abstr_ref_sig_restrict funpre
% 3.77/1.17 --abstr_ref_af_restrict_to_split_sk false
% 3.77/1.17 --abstr_ref_under []
% 3.77/1.17
% 3.77/1.17 ------ SAT Options
% 3.77/1.17
% 3.77/1.17 --sat_mode true
% 3.77/1.17 --sat_fm_restart_options ""
% 3.77/1.17 --sat_gr_def false
% 3.77/1.17 --sat_epr_types true
% 3.77/1.17 --sat_non_cyclic_types false
% 3.77/1.17 --sat_finite_models true
% 3.77/1.17 --sat_fm_lemmas false
% 3.77/1.17 --sat_fm_prep false
% 3.77/1.17 --sat_fm_uc_incr true
% 3.77/1.17 --sat_out_model pos
% 3.77/1.17 --sat_out_clauses false
% 3.77/1.17
% 3.77/1.17 ------ QBF Options
% 3.77/1.17
% 3.77/1.17 --qbf_mode false
% 3.77/1.17 --qbf_elim_univ false
% 3.77/1.17 --qbf_dom_inst none
% 3.77/1.17 --qbf_dom_pre_inst false
% 3.77/1.17 --qbf_sk_in false
% 3.77/1.17 --qbf_pred_elim true
% 3.77/1.17 --qbf_split 512
% 3.77/1.17
% 3.77/1.17 ------ BMC1 Options
% 3.77/1.17
% 3.77/1.17 --bmc1_incremental false
% 3.77/1.17 --bmc1_axioms reachable_all
% 3.77/1.17 --bmc1_min_bound 0
% 3.77/1.17 --bmc1_max_bound -1
% 3.77/1.17 --bmc1_max_bound_default -1
% 3.77/1.17 --bmc1_symbol_reachability true
% 3.77/1.17 --bmc1_property_lemmas false
% 3.77/1.17 --bmc1_k_induction false
% 3.77/1.17 --bmc1_non_equiv_states false
% 3.77/1.17 --bmc1_deadlock false
% 3.77/1.17 --bmc1_ucm false
% 3.77/1.17 --bmc1_add_unsat_core none
% 3.77/1.17 --bmc1_unsat_core_children false
% 3.77/1.17 --bmc1_unsat_core_extrapolate_axioms false
% 3.77/1.17 --bmc1_out_stat full
% 3.77/1.17 --bmc1_ground_init false
% 3.77/1.17 --bmc1_pre_inst_next_state false
% 3.77/1.17 --bmc1_pre_inst_state false
% 3.77/1.17 --bmc1_pre_inst_reach_state false
% 3.77/1.17 --bmc1_out_unsat_core false
% 3.77/1.17 --bmc1_aig_witness_out false
% 3.77/1.17 --bmc1_verbose false
% 3.77/1.17 --bmc1_dump_clauses_tptp false
% 3.77/1.17 --bmc1_dump_unsat_core_tptp false
% 3.77/1.17 --bmc1_dump_file -
% 3.77/1.17 --bmc1_ucm_expand_uc_limit 128
% 3.77/1.17 --bmc1_ucm_n_expand_iterations 6
% 3.77/1.17 --bmc1_ucm_extend_mode 1
% 3.77/1.17 --bmc1_ucm_init_mode 2
% 3.77/1.17 --bmc1_ucm_cone_mode none
% 3.77/1.17 --bmc1_ucm_reduced_relation_type 0
% 3.77/1.17 --bmc1_ucm_relax_model 4
% 3.77/1.17 --bmc1_ucm_full_tr_after_sat true
% 3.77/1.17 --bmc1_ucm_expand_neg_assumptions false
% 3.77/1.17 --bmc1_ucm_layered_model none
% 3.77/1.17 --bmc1_ucm_max_lemma_size 10
% 3.77/1.17
% 3.77/1.17 ------ AIG Options
% 3.77/1.17
% 3.77/1.17 --aig_mode false
% 3.77/1.17
% 3.77/1.17 ------ Instantiation Options
% 3.77/1.17
% 3.77/1.17 --instantiation_flag true
% 3.77/1.17 --inst_sos_flag false
% 3.77/1.17 --inst_sos_phase true
% 3.77/1.17 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 3.77/1.17 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.77/1.17 --inst_lit_sel_side num_symb
% 3.77/1.17 --inst_solver_per_active 1400
% 3.77/1.17 --inst_solver_calls_frac 1.
% 3.77/1.17 --inst_to_smt_solver true
% 3.77/1.17 --inst_passive_queue_type priority_queues
% 3.77/1.17 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.77/1.17 --inst_passive_queues_freq [25;2]
% 3.77/1.17 --inst_dismatching true
% 3.77/1.17 --inst_eager_unprocessed_to_passive true
% 3.77/1.17 --inst_unprocessed_bound 1000
% 3.77/1.17 --inst_prop_sim_given false
% 3.77/1.17 --inst_prop_sim_new false
% 3.77/1.17 --inst_subs_new false
% 3.77/1.17 --inst_eq_res_simp false
% 3.77/1.17 --inst_subs_given false
% 3.77/1.17 --inst_orphan_elimination true
% 3.77/1.17 --inst_learning_loop_flag true
% 3.77/1.17 --inst_learning_start 3000
% 3.77/1.17 --inst_learning_factor 2
% 3.77/1.17 --inst_start_prop_sim_after_learn 3
% 3.77/1.17 --inst_sel_renew solver
% 3.77/1.17 --inst_lit_activity_flag false
% 3.77/1.17 --inst_restr_to_given false
% 3.77/1.17 --inst_activity_threshold 500
% 3.77/1.17
% 3.77/1.17 ------ Resolution Options
% 3.77/1.17
% 3.77/1.17 --resolution_flag false
% 3.77/1.17 --res_lit_sel adaptive
% 3.77/1.17 --res_lit_sel_side none
% 3.77/1.17 --res_ordering kbo
% 3.77/1.17 --res_to_prop_solver active
% 3.77/1.17 --res_prop_simpl_new false
% 3.77/1.17 --res_prop_simpl_given true
% 3.77/1.17 --res_to_smt_solver true
% 3.77/1.17 --res_passive_queue_type priority_queues
% 3.77/1.17 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.77/1.17 --res_passive_queues_freq [15;5]
% 3.77/1.17 --res_forward_subs full
% 3.77/1.17 --res_backward_subs full
% 3.77/1.17 --res_forward_subs_resolution true
% 3.77/1.17 --res_backward_subs_resolution true
% 3.77/1.17 --res_orphan_elimination true
% 3.77/1.17 --res_time_limit 300.
% 3.77/1.17
% 3.77/1.17 ------ Superposition Options
% 3.77/1.17
% 3.77/1.17 --superposition_flag false
% 3.77/1.17 --sup_passive_queue_type priority_queues
% 3.77/1.17 --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]]
% 3.77/1.17 --sup_passive_queues_freq [8;1;4;4]
% 3.77/1.17 --demod_completeness_check fast
% 3.77/1.17 --demod_use_ground true
% 3.77/1.17 --sup_unprocessed_bound 0
% 3.77/1.17 --sup_to_prop_solver passive
% 3.77/1.17 --sup_prop_simpl_new true
% 3.77/1.17 --sup_prop_simpl_given true
% 3.77/1.17 --sup_fun_splitting false
% 3.77/1.17 --sup_iter_deepening 2
% 3.77/1.17 --sup_restarts_mult 12
% 3.77/1.17 --sup_score sim_d_gen
% 3.77/1.17 --sup_share_score_frac 0.2
% 3.77/1.17 --sup_share_max_num_cl 500
% 3.77/1.17 --sup_ordering kbo
% 3.77/1.17 --sup_symb_ordering invfreq
% 3.77/1.17 --sup_term_weight default
% 3.77/1.17
% 3.77/1.17 ------ Superposition Simplification Setup
% 3.77/1.17
% 3.77/1.17 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 3.77/1.17 --sup_full_triv [SMTSimplify;PropSubs]
% 3.77/1.17 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.77/1.17 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.77/1.17 --sup_immed_triv []
% 3.77/1.17 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 3.77/1.17 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 3.77/1.17 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 3.77/1.17 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.77/1.17 --sup_input_triv [Unflattening;SMTSimplify]
% 3.77/1.17 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.77/1.17 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.77/1.17 --sup_full_fixpoint true
% 3.77/1.17 --sup_main_fixpoint true
% 3.77/1.17 --sup_immed_fixpoint false
% 3.77/1.17 --sup_input_fixpoint true
% 3.77/1.17 --sup_cache_sim none
% 3.77/1.17 --sup_smt_interval 500
% 3.77/1.17 --sup_bw_gjoin_interval 0
% 3.77/1.17
% 3.77/1.17 ------ Combination Options
% 3.77/1.17
% 3.77/1.17 --comb_mode clause_based
% 3.77/1.17 --comb_inst_mult 5
% 3.77/1.17 --comb_res_mult 1
% 3.77/1.17 --comb_sup_mult 8
% 3.77/1.17 --comb_sup_deep_mult 2
% 3.77/1.17
% 3.77/1.17 ------ Debug Options
% 3.77/1.17
% 3.77/1.17 --dbg_backtrace false
% 3.77/1.17 --dbg_dump_prop_clauses false
% 3.77/1.17 --dbg_dump_prop_clauses_file -
% 3.77/1.17 --dbg_out_stat false
% 3.77/1.17 --dbg_just_parse false
% 3.77/1.17
% 3.77/1.17
% 3.77/1.17
% 3.77/1.17
% 3.77/1.17 ------ Proving...
% 3.77/1.17
% 3.77/1.17
% 3.77/1.17 % SZS status Satisfiable for theBenchmark.p
% 3.77/1.17
% 3.77/1.17 ------ Building Model...Done
% 3.77/1.17
% 3.77/1.17 %------ The model is defined over ground terms (initial term algebra).
% 3.77/1.17 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 3.77/1.17 %------ where \phi is a formula over the term algebra.
% 3.77/1.17 %------ If we have equality in the problem then it is also defined as a predicate above,
% 3.77/1.17 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.77/1.17 %------ See help for --sat_out_model for different model outputs.
% 3.77/1.17 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.77/1.17 %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.77/1.17 % SZS output start Model for theBenchmark.p
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of equality_sorted
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_12,X0_59,X1_59] :
% 3.77/1.17 ( equality_sorted(X0_12,X0_59,X1_59) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_set$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_c_d_prod_update_prod_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_b_update_prod$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_a_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='A_update_b_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_a_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_d_prod_update$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='A_b_prod_update$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_b_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_d_update_prod_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
% 3.77/1.17
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='A_update$' )
% 3.77/1.17 )
% 3.77/1.17
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_c_update_fun_c_update_b_update_fun_fun$' )
% 3.77/1.17 )
% 3.77/1.17
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_b_update_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_b_update_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='A_d_prod_update$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_c_update_fun_d_update_b_update_fun_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_c_prod_update$' )
% 3.77/1.17 )
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% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_d_update_prod_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_b_prod_update$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='A_update_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_c_prod_update$' )
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% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_a_prod_update$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_c_d_prod_update_fun_c_update_b_update_fun_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='A_c_prod_update$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_c_update_fun_c_d_prod_update_b_update_fun_fun$' )
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% 3.77/1.17 ( X0_12='C_d_prod_update_c_update_prod_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 ( X0_12='A_update_set$' )
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% 3.77/1.17 ( X0_12='C_d_prod_update_a_update_fun_set$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_d_prod_update_b_update_fun$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_c_d_prod_update_prod_b_update_b_update_prod_fun$' )
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% 3.77/1.17 ( X0_12='B_update_c_d_prod_update_fun_c_d_prod_update_b_update_fun_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_d_update_fun_d_update_b_update_fun_fun$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_c_d_prod_update_prod_b_update_b_update_prod_fun$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='A_a_prod_update$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_a_update_fun_set$' )
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% 3.77/1.17 ( X0_12='D_update_a_update_fun_d_update_b_update_fun_bool_fun_fun$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_a_update_fun$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_c_prod_update_b_b_prod_update_fun$' )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_d_update_fun_c_d_prod_update_b_update_fun_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 (
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% 3.77/1.17 (
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_d_update_fun_c_update_b_update_fun_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_b_prod_update$' )
% 3.77/1.17 )
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% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_set$' )
% 3.77/1.17 )
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% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_c_update_prod_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_c_d_prod_prod_update_b_b_prod_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_update_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
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% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_c_update_prod_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='B_update_set$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_a_prod_update$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_b_b_prod_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_bool_fun_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_a_update_fun_set$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_d_prod_d_prod_update_b_b_prod_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_c_prod_update_b_b_prod_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_update_d_update_prod_b_update_b_update_prod_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='C_c_d_prod_prod_update_b_b_prod_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 |
% 3.77/1.17 (
% 3.77/1.17 ( X0_12='D_c_d_prod_prod_update_b_b_prod_update_fun$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$au'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_225] :
% 3.77/1.17 ( 'register$au'(X0_225) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'pred_fun$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_120,X0_235,X0_119] :
% 3.77/1.17 ( 'pred_fun$'(X0_120,X0_235,X0_119) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'member$d'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_177,X0_22] :
% 3.77/1.17 ( 'member$d'(X0_177,X0_22) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ai'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_116] :
% 3.77/1.17 ( 'register$ai'(X0_116) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ao'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_250] :
% 3.77/1.17 ( 'register$ao'(X0_250) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$i'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_199,X0_231,X0_193] :
% 3.77/1.17 ( 'rel_fun$i'(X0_78,X0_199,X0_231,X0_193) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_231='comp$' & X0_193='comp$j' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ay'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_173] :
% 3.77/1.17 ( 'register$ay'(X0_173) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'separating$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_33,X0_184] :
% 3.77/1.17 ( 'separating$c'(X0_33,X0_184) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$j'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_167,X0_94] :
% 3.77/1.17 ( 'compatible$j'(X0_167,X0_94) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$an'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_235,X0_195] :
% 3.77/1.17 ( 'fun_app$an'(X0_235,X0_195) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$q'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_65] :
% 3.77/1.17 ( 'register$q'(X0_65) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$ai'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_120,X0_121] :
% 3.77/1.17 ( 'fun_app$ai'(X0_120,X0_121) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$m'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_17] :
% 3.77/1.17 ( 'register$m'(X0_17) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$as'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_185] :
% 3.77/1.17 ( 'register$as'(X0_185) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ak'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_49] :
% 3.77/1.17 ( 'register$ak'(X0_49) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$n'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_119,X1_119] :
% 3.77/1.17 ( 'compatible$n'(X0_119,X1_119) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ax'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_161] :
% 3.77/1.17 ( 'register$ax'(X0_161) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$n'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_57] :
% 3.77/1.17 ( 'register$n'(X0_57) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$aj'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_249,X0_38] :
% 3.77/1.17 ( 'fun_app$aj'(X0_249,X0_38) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'separating$d'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_33,X0_18] :
% 3.77/1.17 ( 'separating$d'(X0_33,X0_18) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$aw'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_32] :
% 3.77/1.17 ( 'register$aw'(X0_32) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$d'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_167] :
% 3.77/1.17 ( 'register$d'(X0_167) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$as'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_51,X0_67] :
% 3.77/1.17 ( 'compatible$as'(X0_51,X0_67) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'separating$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_90,X0_75] :
% 3.77/1.17 ( 'separating$'(X0_90,X0_75) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bi'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_263] :
% 3.77/1.17 ( 'register$bi'(X0_263) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'preregister$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_28] :
% 3.77/1.17 ( 'preregister$'(X0_28) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$k'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_241,X0_191] :
% 3.77/1.17 ( 'fun_app$k'(X0_241,X0_191) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$o'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_24] :
% 3.77/1.17 ( 'register$o'(X0_24) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'quotient$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_237,X0_44,X0_94,X0_232] :
% 3.77/1.17 ( 'quotient$'(X0_237,X0_44,X0_94,X0_232) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ac'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_52] :
% 3.77/1.17 ( 'register$ac'(X0_52) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'preregister$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_94] :
% 3.77/1.17 ( 'preregister$c'(X0_94) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$o'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_94,X0_144] :
% 3.77/1.17 ( 'compatible$o'(X0_94,X0_144) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'member$f'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_191,X0_59] :
% 3.77/1.17 ( 'member$f'(X0_191,X0_59) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'preregister$b'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_119] :
% 3.77/1.17 ( 'preregister$b'(X0_119) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'member$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_38,X0_18] :
% 3.77/1.17 ( 'member$c'(X0_38,X0_18) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bl'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_85] :
% 3.77/1.17 ( 'register$bl'(X0_85) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_85='uvc$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_119] :
% 3.77/1.17 ( 'register$c'(X0_119) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_94,X1_94] :
% 3.77/1.17 ( 'compatible$c'(X0_94,X1_94) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$u'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_28] :
% 3.77/1.17 ( 'register$u'(X0_28) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$y'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_58] :
% 3.77/1.17 ( 'register$y'(X0_58) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'quotient$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_71,X0_253,X0_106,X0_47] :
% 3.77/1.17 ( 'quotient$e'(X0_71,X0_253,X0_106,X0_47) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$k'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_43] :
% 3.77/1.17 ( 'register$k'(X0_43) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$be'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_51] :
% 3.77/1.17 ( 'register$be'(X0_51) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'member$b'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_121,X0_260] :
% 3.77/1.17 ( 'member$b'(X0_121,X0_260) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$ag'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_214,X0_193,X1_193] :
% 3.77/1.17 ( 'rel_fun$ag'(X0_78,X0_214,X0_193,X1_193) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_193='comp$j' & X1_193='comp$j' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bd'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_163] :
% 3.77/1.17 ( 'register$bd'(X0_163) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$v'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_253] :
% 3.77/1.17 ( 'register$v'(X0_253) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'separating$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_33,X0_260] :
% 3.77/1.17 ( 'separating$a'(X0_33,X0_260) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$g'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_144] :
% 3.77/1.17 ( 'register$g'(X0_144) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$b'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_92] :
% 3.77/1.17 ( 'register$b'(X0_92) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$y'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_76,X0_193,X0_231] :
% 3.77/1.17 ( 'rel_fun$y'(X0_78,X0_76,X0_193,X0_231) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_193='comp$j' & X0_231='comp$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ag'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_137] :
% 3.77/1.17 ( 'register$ag'(X0_137) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bm'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_156] :
% 3.77/1.17 ( 'register$bm'(X0_156) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$am'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_185,X0_258] :
% 3.77/1.17 ( 'compatible$am'(X0_185,X0_258) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$i'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_88] :
% 3.77/1.17 ( 'register$i'(X0_88) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$l'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_44,X0_92] :
% 3.77/1.17 ( 'compatible$l'(X0_44,X0_92) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$aa'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_165] :
% 3.77/1.17 ( 'register$aa'(X0_165) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_178,X0_231,X1_231] :
% 3.77/1.17 ( 'rel_fun$'(X0_78,X0_178,X0_231,X1_231) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_231='comp$' & X1_231='comp$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$aj'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_67,X0_259] :
% 3.77/1.17 ( 'compatible$aj'(X0_67,X0_259) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bj'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_159] :
% 3.77/1.17 ( 'register$bj'(X0_159) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_159='uva$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$f'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_44] :
% 3.77/1.17 ( 'register$f'(X0_44) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$ag'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_168,X1_168] :
% 3.77/1.17 ( 'compatible$ag'(X0_168,X1_168) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'pred_fun$d'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_82,X0_235,X0_144] :
% 3.77/1.17 ( 'pred_fun$d'(X0_82,X0_235,X0_144) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'preregister$p'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_114] :
% 3.77/1.17 ( 'preregister$p'(X0_114) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$j'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_13] :
% 3.77/1.17 ( 'register$j'(X0_13) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'quotient$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_71,X0_149,X0_177,X0_29] :
% 3.77/1.17 ( 'quotient$c'(X0_71,X0_149,X0_177,X0_29) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$aj'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_220] :
% 3.77/1.17 ( 'register$aj'(X0_220) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$aq'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_174,X0_156] :
% 3.77/1.17 ( 'compatible$aq'(X0_174,X0_156) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$az'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_153] :
% 3.77/1.17 ( 'register$az'(X0_153) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$f'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_119,X0_144] :
% 3.77/1.17 ( 'compatible$f'(X0_119,X0_144) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_94,X0_119] :
% 3.77/1.17 ( 'compatible$a'(X0_94,X0_119) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$h'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_144,X0_119] :
% 3.77/1.17 ( 'compatible$h'(X0_144,X0_119) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$an'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_185,X0_225] :
% 3.77/1.17 ( 'compatible$an'(X0_185,X0_225) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$ag'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_256,X0_224] :
% 3.77/1.17 ( 'fun_app$ag'(X0_256,X0_224) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$q'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_89,X0_135,X1_135] :
% 3.77/1.17 ( 'rel_fun$q'(X0_78,X0_89,X0_135,X1_135) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_135='comp$a' & X1_135='comp$a' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bg'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_221] :
% 3.77/1.17 ( 'register$bg'(X0_221) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$m'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_261,X0_135,X0_231] :
% 3.77/1.17 ( 'rel_fun$m'(X0_78,X0_261,X0_135,X0_231) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_135='comp$a' & X0_231='comp$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$an'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_100] :
% 3.77/1.17 ( 'register$an'(X0_100) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bk'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_142] :
% 3.77/1.17 ( 'register$bk'(X0_142) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_142='uvb$' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$ac'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_91,X0_193,X0_135] :
% 3.77/1.17 ( 'rel_fun$ac'(X0_78,X0_91,X0_193,X0_135) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_193='comp$j' & X0_135='comp$a' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$b'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_94,X0_167] :
% 3.77/1.17 ( 'compatible$b'(X0_94,X0_167) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$u'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_234,X0_135,X0_193] :
% 3.77/1.17 ( 'rel_fun$u'(X0_78,X0_234,X0_135,X0_193) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_135='comp$a' & X0_193='comp$j' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$ah'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_82,X0_164] :
% 3.77/1.17 ( 'fun_app$ah'(X0_82,X0_164) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'pred_fun$b'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_256,X0_235,X0_28] :
% 3.77/1.17 ( 'pred_fun$b'(X0_256,X0_235,X0_28) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$p'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_144,X0_94] :
% 3.77/1.17 ( 'compatible$p'(X0_144,X0_94) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$h'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_183] :
% 3.77/1.17 ( 'register$h'(X0_183) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'separating$b'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_90,X0_260] :
% 3.77/1.17 ( 'separating$b'(X0_90,X0_260) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$i'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_119,X0_94] :
% 3.77/1.17 ( 'compatible$i'(X0_119,X0_94) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$ak'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_174,X1_174] :
% 3.77/1.17 ( 'compatible$ak'(X0_174,X1_174) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$ap'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_258,X0_185] :
% 3.77/1.17 ( 'compatible$ap'(X0_258,X0_185) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$z'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_125] :
% 3.77/1.17 ( 'register$z'(X0_125) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$l'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_208] :
% 3.77/1.17 ( 'register$l'(X0_208) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$ar'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_174,X0_69] :
% 3.77/1.17 ( 'compatible$ar'(X0_174,X0_69) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$p'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_154] :
% 3.77/1.17 ( 'register$p'(X0_154) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'separating$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_33,X0_266] :
% 3.77/1.17 ( 'separating$e'(X0_33,X0_266) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$q'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_144,X1_144] :
% 3.77/1.17 ( 'compatible$q'(X0_144,X1_144) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$al'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_185,X1_185] :
% 3.77/1.17 ( 'compatible$al'(X0_185,X1_185) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$ai'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_67,X0_51] :
% 3.77/1.17 ( 'compatible$ai'(X0_67,X0_51) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$am'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_206] :
% 3.77/1.17 ( 'register$am'(X0_206) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'member$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_164,X0_75] :
% 3.77/1.17 ( 'member$a'(X0_164,X0_75) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$aq'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_240,X0_94] :
% 3.77/1.17 ( 'fun_app$aq'(X0_240,X0_94) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'preregister$k'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_167] :
% 3.77/1.17 ( 'preregister$k'(X0_167) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$at'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_258] :
% 3.77/1.17 ( 'register$at'(X0_258) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bh'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_107] :
% 3.77/1.17 ( 'register$bh'(X0_107) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'member$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_224,X0_266] :
% 3.77/1.17 ( 'member$'(X0_224,X0_266) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_94] :
% 3.77/1.17 ( 'register$a'(X0_94) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'rel_fun$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_78,X0_31,X0_231,X0_135] :
% 3.77/1.17 ( 'rel_fun$e'(X0_78,X0_31,X0_231,X0_135) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_231='comp$' & X0_135='comp$a' )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$i'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_222,X0_177] :
% 3.77/1.17 ( 'fun_app$i'(X0_222,X0_177) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_92,X0_44] :
% 3.77/1.17 ( 'compatible$e'(X0_92,X0_44) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'preregister$d'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_144] :
% 3.77/1.17 ( 'preregister$d'(X0_144) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'member$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_106,X0_201] :
% 3.77/1.17 ( 'member$e'(X0_106,X0_201) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'preregister$h'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_92] :
% 3.77/1.17 ( 'preregister$h'(X0_92) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$w'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_146] :
% 3.77/1.17 ( 'register$w'(X0_146) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$ah'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_67,X1_67] :
% 3.77/1.17 ( 'compatible$ah'(X0_67,X1_67) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$ao'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_156,X0_174] :
% 3.77/1.17 ( 'compatible$ao'(X0_156,X0_174) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$ah'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_72] :
% 3.77/1.17 ( 'register$ah'(X0_72) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'compatible$u'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_167,X1_167] :
% 3.77/1.17 ( 'compatible$u'(X0_167,X1_167) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'less_eq$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_18,X1_18] :
% 3.77/1.17 ( 'less_eq$'(X0_18,X1_18) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'quotient$h'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_71,X0_94,X0_44,X0_219] :
% 3.77/1.17 ( 'quotient$h'(X0_71,X0_94,X0_44,X0_219) <=>
% 3.77/1.17 $false
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$bf'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_227] :
% 3.77/1.17 ( 'register$bf'(X0_227) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'fun_app$j'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_37,X0_106] :
% 3.77/1.17 ( 'fun_app$j'(X0_37,X0_106) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of 'register$af'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_55] :
% 3.77/1.17 ( 'register$af'(X0_55) <=>
% 3.77/1.17 $true
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$s'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_72,X0_122,X0_13] :
% 3.77/1.17 ( iProver_Flat_'comp$s'(X0_72,X0_122,X0_13) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_72=iProver_Domain_'C_a_prod_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uu$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_256,X0_266] :
% 3.77/1.17 ( iProver_Flat_'uu$'(X0_256,X0_266) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_256=iProver_Domain_'C_d_prod_update_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$dk'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_23,X0_21,X0_26] :
% 3.77/1.17 ( iProver_Flat_'fun_app$dk'(X0_23,X0_21,X0_26) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$cx'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_164,X0_245,X0_121] :
% 3.77/1.17 ( iProver_Flat_'fun_app$cx'(X0_164,X0_245,X0_121) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uvl$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_168,X0_191] :
% 3.77/1.17 ( iProver_Flat_'uvl$'(X0_168,X0_191) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_168=iProver_Domain_'C_update_a_a_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$f'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_31,X0_226,X0_40] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$f'(X0_31,X0_226,X0_40) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_31=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun_c_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_241] :
% 3.77/1.17 ( iProver_Flat_'register$'(X0_241) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_241=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uun$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_258,X0_94] :
% 3.77/1.17 ( iProver_Flat_'uun$'(X0_258,X0_94) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_258=iProver_Domain_'A_update_b_b_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$as'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_106,X0_191,X0_97] :
% 3.77/1.17 ( iProver_Flat_'comp$as'(X0_106,X0_191,X0_97) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp_update$i'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_255,X1_255,X2_255] :
% 3.77/1.17 ( iProver_Flat_'comp_update$i'(X0_255,X1_255,X2_255) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_255=iProver_Domain_'D_d_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$ae'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_115,X0_136,X0_71] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$ae'(X0_115,X0_136,X0_71) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_115=iProver_Domain_'D_update_a_update_fun_c_d_prod_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$g'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_157,X0_107,X0_195] :
% 3.77/1.17 ( iProver_Flat_'fun_app$g'(X0_157,X0_107,X0_195) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_157=iProver_Domain_'A_b_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$dt'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_28,X0_180,X0_92] :
% 3.77/1.17 ( iProver_Flat_'fun_app$dt'(X0_28,X0_180,X0_92) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'relcompp$f'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_243,X0_71,X1_243] :
% 3.77/1.17 ( iProver_Flat_'relcompp$f'(X0_243,X0_71,X1_243) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_243=iProver_Domain_'A_update_c_update_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$cc'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_176,X0_145,X0_242] :
% 3.77/1.17 ( iProver_Flat_'comp$cc'(X0_176,X0_145,X0_242) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_176=iProver_Domain_'D_update_d_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$cf'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_86,X0_253,X0_44] :
% 3.77/1.17 ( iProver_Flat_'comp$cf'(X0_86,X0_253,X0_44) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_86=iProver_Domain_'B_update_d_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$v'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_234,X0_130,X0_139] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$v'(X0_234,X0_130,X0_139) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_234=iProver_Domain_'C_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_fun_d_update_a_update_fun_d_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register_tensor$s'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_197,X0_191,X0_106] :
% 3.77/1.17 ( iProver_Flat_'register_tensor$s'(X0_197,X0_191,X0_106) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_197=iProver_Domain_'C_d_prod_update_a_a_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp_update$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_92,X0_38] :
% 3.77/1.17 ( iProver_Flat_'comp_update$'(X0_92,X0_38) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_92=iProver_Domain_'A_update_a_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$cw'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_119,X0_35,X0_114] :
% 3.77/1.17 ( iProver_Flat_'fun_app$cw'(X0_119,X0_35,X0_114) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$be'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_66,X1_66,X0_218] :
% 3.77/1.17 ( iProver_Flat_'comp$be'(X0_66,X1_66,X0_218) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_66=iProver_Domain_'C_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uvt$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_120] :
% 3.77/1.17 ( iProver_Flat_'uvt$'(X0_120) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_120=iProver_Domain_'C_update_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'relcompp$h'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_109,X0_143,X0_29] :
% 3.77/1.17 ( iProver_Flat_'relcompp$h'(X0_109,X0_143,X0_29) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_109=iProver_Domain_'C_d_prod_update_c_d_prod_update_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'id$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_167] :
% 3.77/1.17 ( iProver_Flat_'id$'(X0_167) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_167=iProver_Domain_'B_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$h'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_94,X0_144,X0_253] :
% 3.77/1.17 ( iProver_Flat_'comp$h'(X0_94,X0_144,X0_253) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register_pair$q'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_164,X0_253,X0_87,X0_129] :
% 3.77/1.17 ( iProver_Flat_'register_pair$q'(X0_164,X0_253,X0_87,X0_129) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register_pair$w'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_154,X0_51,X0_67] :
% 3.77/1.17 ( iProver_Flat_'register_pair$w'(X0_154,X0_51,X0_67) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_154=iProver_Domain_'A_c_prod_update_b_a_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$av'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_217,X0_244,X0_171] :
% 3.77/1.17 ( iProver_Flat_'comp$av'(X0_217,X0_244,X0_171) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_217=iProver_Domain_'B_update_c_update_fun_d_update_b_update_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'tensor_update$n'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_251,X0_195,X0_121] :
% 3.77/1.17 ( iProver_Flat_'tensor_update$n'(X0_251,X0_195,X0_121) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_251=iProver_Domain_'B_c_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$dd'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_238,X0_16,X0_172] :
% 3.77/1.17 ( iProver_Flat_'fun_app$dd'(X0_238,X0_16,X0_172) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register_pair$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_122,X0_94,X0_167] :
% 3.77/1.17 ( iProver_Flat_'register_pair$e'(X0_122,X0_94,X0_167) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_122=iProver_Domain_'A_b_prod_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'map_prod$k'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_179,X0_28,X0_144] :
% 3.77/1.17 ( iProver_Flat_'map_prod$k'(X0_179,X0_28,X0_144) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_179=iProver_Domain_'C_d_prod_update_d_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'id_update$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_195] :
% 3.77/1.17 ( iProver_Flat_'id_update$c'(X0_195) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$k'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_205,X0_39,X0_71] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$k'(X0_205,X0_39,X0_71) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_205=iProver_Domain_'C_update_a_update_fun_d_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uuw$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_27,X0_253] :
% 3.77/1.17 ( iProver_Flat_'uuw$'(X0_27,X0_253) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_27=iProver_Domain_'A_update_d_d_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'tensor_update$o'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_80,X0_121,X0_195] :
% 3.77/1.17 ( iProver_Flat_'tensor_update$o'(X0_80,X0_121,X0_195) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_80=iProver_Domain_'C_b_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$aq'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_44,X0_92,X1_44] :
% 3.77/1.17 ( iProver_Flat_'comp$aq'(X0_44,X0_92,X1_44) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_44=iProver_Domain_'B_update_a_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'tensor_update$h'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_224,X0_121,X0_164] :
% 3.77/1.17 ( iProver_Flat_'tensor_update$h'(X0_224,X0_121,X0_164) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_224=iProver_Domain_'C_d_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$bi'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_111,X1_111,X0_92] :
% 3.77/1.17 ( iProver_Flat_'comp$bi'(X0_111,X1_111,X0_92) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_111=iProver_Domain_'A_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uur$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_161,X0_119] :
% 3.77/1.17 ( iProver_Flat_'uur$'(X0_161,X0_119) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_161=iProver_Domain_'C_update_d_b_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$w'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_28,X1_28,X0_62] :
% 3.77/1.17 ( iProver_Flat_'comp$w'(X0_28,X1_28,X0_62) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'convol$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_66,X0_119,X1_119] :
% 3.77/1.17 ( iProver_Flat_'convol$'(X0_66,X0_119,X1_119) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_66=iProver_Domain_'C_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'tensor_update$k'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_207,X0_164,X0_121] :
% 3.77/1.17 ( iProver_Flat_'tensor_update$k'(X0_207,X0_164,X0_121) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_207=iProver_Domain_'D_c_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$bn'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_157,X0_13,X0_36] :
% 3.77/1.17 ( iProver_Flat_'fun_app$bn'(X0_157,X0_13,X0_36) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_157=iProver_Domain_'A_b_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'map_fun$d'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_248,X0_119,X0_28] :
% 3.77/1.17 ( iProver_Flat_'map_fun$d'(X0_248,X0_119,X0_28) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_248=iProver_Domain_'B_update_c_d_prod_update_fun_c_update_b_update_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_61,X0_221,X0_121] :
% 3.77/1.17 ( iProver_Flat_'fun_app$e'(X0_61,X0_221,X0_121) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_61=iProver_Domain_'A_c_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uvj$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_258,X0_94] :
% 3.77/1.17 ( iProver_Flat_'uvj$'(X0_258,X0_94) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_258=iProver_Domain_'A_update_b_b_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$du'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_28,X0_128,X0_114] :
% 3.77/1.17 ( iProver_Flat_'fun_app$du'(X0_28,X0_128,X0_114) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register_tensor$y'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_95,X0_28,X0_119] :
% 3.77/1.17 ( iProver_Flat_'register_tensor$y'(X0_95,X0_28,X0_119) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_95=iProver_Domain_'C_d_prod_c_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_257,X0_51,X0_38] :
% 3.77/1.17 ( iProver_Flat_'fun_app$a'(X0_257,X0_51,X0_38) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_257=iProver_Domain_'B_a_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$ab'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_224,X0_149,X0_38] :
% 3.77/1.17 ( iProver_Flat_'fun_app$ab'(X0_224,X0_149,X0_38) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_224=iProver_Domain_'C_d_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'conversep$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_219,X0_232] :
% 3.77/1.17 ( iProver_Flat_'conversep$'(X0_219,X0_232) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_219=iProver_Domain_'A_update_b_update_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$bp'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_257,X0_208,X0_101] :
% 3.77/1.17 ( iProver_Flat_'fun_app$bp'(X0_257,X0_208,X0_101) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_257=iProver_Domain_'B_a_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$di'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_23,X0_200,X0_81] :
% 3.77/1.17 ( iProver_Flat_'fun_app$di'(X0_23,X0_200,X0_81) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'pred_fun$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_241,X0_120,X0_249] :
% 3.77/1.17 ( iProver_Flat_'pred_fun$a'(X0_241,X0_120,X0_249) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_241=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'collect$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_18,X0_249] :
% 3.77/1.17 ( iProver_Flat_'collect$c'(X0_18,X0_249) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_18=iProver_Domain_'A_update_set'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$c'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_14,X0_247,X0_71] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$c'(X0_14,X0_247,X0_71) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_14=iProver_Domain_'C_update_a_update_fun_c_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'preregister$j'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_222] :
% 3.77/1.17 ( iProver_Flat_'preregister$j'(X0_222) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_222=iProver_Domain_'C_d_prod_update_a_update_fun_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$br'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_42,X0_57,X0_36] :
% 3.77/1.17 ( iProver_Flat_'fun_app$br'(X0_42,X0_57,X0_36) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uum$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_185,X0_119] :
% 3.77/1.17 ( iProver_Flat_'uum$'(X0_185,X0_119) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_185=iProver_Domain_'C_update_b_b_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$by'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_21,X0_145,X0_48] :
% 3.77/1.17 ( iProver_Flat_'comp$by'(X0_21,X0_145,X0_48) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_21=iProver_Domain_'C_d_prod_update_c_d_prod_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'tensor_update$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_93,X0_195,X0_164] :
% 3.77/1.17 ( iProver_Flat_'tensor_update$e'(X0_93,X0_195,X0_164) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_93=iProver_Domain_'B_d_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$ad'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_93,X0_100,X0_38] :
% 3.77/1.17 ( iProver_Flat_'fun_app$ad'(X0_93,X0_100,X0_38) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_93=iProver_Domain_'B_d_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$an'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_119,X0_144,X0_245] :
% 3.77/1.17 ( iProver_Flat_'comp$an'(X0_119,X0_144,X0_245) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'tensor_update$g'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_255,X0_164,X1_164] :
% 3.77/1.17 ( iProver_Flat_'tensor_update$g'(X0_255,X0_164,X1_164) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_255=iProver_Domain_'D_d_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$db'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_238,X0_131,X0_166] :
% 3.77/1.17 ( iProver_Flat_'fun_app$db'(X0_238,X0_131,X0_166) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'collect$e'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_22,X0_222] :
% 3.77/1.17 ( iProver_Flat_'collect$e'(X0_22,X0_222) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_22=iProver_Domain_'C_d_prod_update_a_update_fun_set'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$ao'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_144,X1_144,X0_87] :
% 3.77/1.17 ( iProver_Flat_'comp$ao'(X0_144,X1_144,X0_87) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'image$b'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_18,X0_191,X0_260] :
% 3.77/1.17 ( iProver_Flat_'image$b'(X0_18,X0_191,X0_260) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_18=iProver_Domain_'A_update_set'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$cm'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_195,X0_49,X0_255] :
% 3.77/1.17 ( iProver_Flat_'fun_app$cm'(X0_195,X0_49,X0_255) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$bm'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_157,X0_88,X0_101] :
% 3.77/1.17 ( iProver_Flat_'fun_app$bm'(X0_157,X0_88,X0_101) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_157=iProver_Domain_'A_b_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$g'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_226,X0_223,X0_71] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$g'(X0_226,X0_223,X0_71) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_226=iProver_Domain_'C_update_a_update_fun_c_d_prod_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register_tensor$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_88,X0_191,X0_119] :
% 3.77/1.17 ( iProver_Flat_'register_tensor$a'(X0_88,X0_191,X0_119) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_88=iProver_Domain_'C_c_prod_update_a_b_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$k'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_49,X0_52,X0_239] :
% 3.77/1.17 ( iProver_Flat_'comp$k'(X0_49,X0_52,X0_239) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_49=iProver_Domain_'D_d_prod_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp_update$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_167,X0_195] :
% 3.77/1.17 ( iProver_Flat_'comp_update$a'(X0_167,X0_195) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_167=iProver_Domain_'B_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$l'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_102,X0_39,X0_237] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$l'(X0_102,X0_39,X0_237) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_102=iProver_Domain_'C_update_b_update_fun_d_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register$ae'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_222] :
% 3.77/1.17 ( iProver_Flat_'register$ae'(X0_222) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_222=iProver_Domain_'C_d_prod_update_a_update_fun_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$bv'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_99,X0_145,X0_16] :
% 3.77/1.17 ( iProver_Flat_'comp$bv'(X0_99,X0_145,X0_16) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_99=iProver_Domain_'C_update_c_d_prod_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uub$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_120,X0_260] :
% 3.77/1.17 ( iProver_Flat_'uub$'(X0_120,X0_260) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_120=iProver_Domain_'C_update_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'tensor_update$a'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_227,X0_38] :
% 3.77/1.17 ( iProver_Flat_'tensor_update$a'(X0_227,X0_38) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_227=iProver_Domain_'D_update_a_d_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$cy'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_121,X0_196,X0_224] :
% 3.77/1.17 ( iProver_Flat_'fun_app$cy'(X0_121,X0_196,X0_224) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$u'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_38,X0_191,X0_121] :
% 3.77/1.17 ( iProver_Flat_'fun_app$u'(X0_38,X0_191,X0_121) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uvm$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_67,X0_119] :
% 3.77/1.17 ( iProver_Flat_'uvm$'(X0_67,X0_119) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_67=iProver_Domain_'C_update_b_a_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'register_tensor$q'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_126,X0_144,X1_144] :
% 3.77/1.17 ( iProver_Flat_'register_tensor$q'(X0_126,X0_144,X1_144) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_126=iProver_Domain_'D_d_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'map_fun$i'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_186,X0_28,X1_28] :
% 3.77/1.17 ( iProver_Flat_'map_fun$i'(X0_186,X0_28,X1_28) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_186=iProver_Domain_'B_update_c_d_prod_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'uwa$'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_241,X0_18] :
% 3.77/1.17 ( iProver_Flat_'uwa$'(X0_241,X0_18) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_241=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'map_prod$i'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_21,X0_28,X1_28] :
% 3.77/1.17 ( iProver_Flat_'map_prod$i'(X0_21,X0_28,X1_28) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_21=iProver_Domain_'C_d_prod_update_c_d_prod_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'comp$m'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_116,X0_122,X0_77] :
% 3.77/1.17 ( iProver_Flat_'comp$m'(X0_116,X0_122,X0_77) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_116=iProver_Domain_'D_c_prod_update_b_update_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'rel_fun$aj'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_209,X0_211,X0_237] :
% 3.77/1.17 ( iProver_Flat_'rel_fun$aj'(X0_209,X0_211,X0_237) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_209=iProver_Domain_'D_update_b_update_fun_d_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'map_fun$n'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_134,X0_144,X1_144] :
% 3.77/1.17 ( iProver_Flat_'map_fun$n'(X0_134,X0_144,X1_144) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_134=iProver_Domain_'B_update_d_update_fun_d_update_b_update_fun_fun'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$bu'
% 3.77/1.17 fof(lit_def,axiom,
% 3.77/1.17 (! [X0_42,X0_65,X0_61] :
% 3.77/1.17 ( iProver_Flat_'fun_app$bu'(X0_42,X0_65,X0_61) <=>
% 3.77/1.17 (
% 3.77/1.17 (
% 3.77/1.17 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.17 )
% 3.77/1.17
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 )
% 3.77/1.17 ).
% 3.77/1.17
% 3.77/1.17 %------ Positive definition of iProver_Flat_'fun_app$bv'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_144,X0_230,X0_106] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bv'(X0_144,X0_230,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$i'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_94,X0_119,X0_146] :
% 3.77/1.18 ( iProver_Flat_'comp$i'(X0_94,X0_119,X0_146) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dq'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_23,X0_73,X0_105] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dq'(X0_23,X0_73,X0_105) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$v'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_25,X0_168,X0_121] :
% 3.77/1.18 ( iProver_Flat_'fun_app$v'(X0_25,X0_168,X0_121) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_25=iProver_Domain_'A_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'grp$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_83,X0_201,X0_230] :
% 3.77/1.18 ( iProver_Flat_'grp$c'(X0_83,X0_201,X0_230) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_83=iProver_Domain_'D_update_a_update_fun_d_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bg'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_164,X0_87,X1_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bg'(X0_164,X0_87,X1_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$v'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_28,X0_167,X1_28] :
% 3.77/1.18 ( iProver_Flat_'comp$v'(X0_28,X0_167,X1_28) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'tensor_update$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_42,X0_195,X1_195] :
% 3.77/1.18 ( iProver_Flat_'tensor_update$f'(X0_42,X0_195,X1_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$x'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_106,X1_106,X0_87] :
% 3.77/1.18 ( iProver_Flat_'comp$x'(X0_106,X1_106,X0_87) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvn$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_259,X0_144] :
% 3.77/1.18 ( iProver_Flat_'uvn$'(X0_259,X0_144) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_259=iProver_Domain_'D_update_b_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bp'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_265,X0_244,X0_203] :
% 3.77/1.18 ( iProver_Flat_'comp$bp'(X0_265,X0_244,X0_203) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_265=iProver_Domain_'B_update_c_d_prod_update_fun_d_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_fun$m'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_265,X0_144,X0_28] :
% 3.77/1.18 ( iProver_Flat_'map_fun$m'(X0_265,X0_144,X0_28) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_265=iProver_Domain_'B_update_c_d_prod_update_fun_d_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_177,X0_191,X0_106] :
% 3.77/1.18 ( iProver_Flat_'register_pair$'(X0_177,X0_191,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_177=iProver_Domain_'C_d_prod_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ch'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_72,X0_36] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ch'(X0_195,X0_72,X0_36) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$k'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_138,X0_106,X0_191] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$k'(X0_138,X0_106,X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_138=iProver_Domain_'D_c_prod_update_a_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bo'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_157,X0_43,X0_224] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bo'(X0_157,X0_43,X0_224) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_157=iProver_Domain_'A_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bf'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_60,X0_231,X0_94] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bf'(X0_60,X0_231,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_60=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cp'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_92,X0_216,X0_86] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cp'(X0_92,X0_216,X0_86) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_92=iProver_Domain_'A_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bq'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_42,X0_17,X0_101] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bq'(X0_42,X0_17,X0_101) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'relcompp$l'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_47,X0_71,X1_47] :
% 3.77/1.18 ( iProver_Flat_'relcompp$l'(X0_47,X0_71,X1_47) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_47=iProver_Domain_'A_update_d_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$am'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_83,X0_211,X0_219] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$am'(X0_83,X0_211,X0_219) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_83=iProver_Domain_'D_update_a_update_fun_d_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dw'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_28,X0_30,X0_86] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dw'(X0_28,X0_30,X0_86) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$k'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_80,X1_80,X2_80] :
% 3.77/1.18 ( iProver_Flat_'comp_update$k'(X0_80,X1_80,X2_80) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_80=iProver_Domain_'C_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'g$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_191] :
% 3.77/1.18 ( iProver_Flat_'g$'(X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bg'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_160,X0_252,X0_97] :
% 3.77/1.18 ( iProver_Flat_'comp$bg'(X0_160,X0_252,X0_97) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_160=iProver_Domain_'D_update_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ba'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_207,X0_210,X0_38] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ba'(X0_207,X0_210,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_207=iProver_Domain_'D_c_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uui$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_250,X0_144] :
% 3.77/1.18 ( iProver_Flat_'uui$'(X0_250,X0_144) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_250=iProver_Domain_'D_update_b_d_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$e'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_93,X1_93,X2_93] :
% 3.77/1.18 ( iProver_Flat_'comp_update$e'(X0_93,X1_93,X2_93) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_93=iProver_Domain_'B_d_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$aa'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_164,X0_253,X0_38] :
% 3.77/1.18 ( iProver_Flat_'fun_app$aa'(X0_164,X0_253,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'preregister$i'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_37] :
% 3.77/1.18 ( iProver_Flat_'preregister$i'(X0_37) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cg'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_137,X0_101] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cg'(X0_195,X0_137,X0_101) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ck'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_116,X0_207] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ck'(X0_195,X0_116,X0_207) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$l'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_93,X0_250,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$l'(X0_93,X0_250,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_93=iProver_Domain_'B_d_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'convol$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_228,X0_177,X1_177] :
% 3.77/1.18 ( iProver_Flat_'convol$f'(X0_228,X0_177,X1_177) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_228=iProver_Domain_'C_d_prod_update_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$ad'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_103,X0_146,X1_146] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$ad'(X0_103,X0_146,X1_146) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_103=iProver_Domain_'A_a_prod_update_c_c_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ca'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_118,X0_257] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ca'(X0_195,X0_118,X0_257) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_prod$r'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_242,X0_106,X1_106] :
% 3.77/1.18 ( iProver_Flat_'map_prod$r'(X0_242,X0_106,X1_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_242=iProver_Domain_'D_update_d_update_prod_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'convol$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_252,X0_191,X1_191] :
% 3.77/1.18 ( iProver_Flat_'convol$b'(X0_252,X0_191,X1_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_252=iProver_Domain_'C_update_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_42,X1_42,X2_42] :
% 3.77/1.18 ( iProver_Flat_'comp_update$d'(X0_42,X1_42,X2_42) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$v'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_140,X0_106,X0_177] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$v'(X0_140,X0_106,X0_177) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_140=iProver_Domain_'D_c_d_prod_prod_update_a_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_220,X0_144,X0_94] :
% 3.77/1.18 ( iProver_Flat_'register_pair$f'(X0_220,X0_144,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_220=iProver_Domain_'D_a_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$s'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_123,X0_109,X0_71] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$s'(X0_123,X0_109,X0_71) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_123=iProver_Domain_'C_d_prod_update_a_update_fun_c_d_prod_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvh$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_259,X0_106] :
% 3.77/1.18 ( iProver_Flat_'uvh$'(X0_259,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_259=iProver_Domain_'D_update_b_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_fun$l'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_217,X0_144,X0_119] :
% 3.77/1.18 ( iProver_Flat_'map_fun$l'(X0_217,X0_144,X0_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_217=iProver_Domain_'B_update_c_update_fun_d_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bz'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_179,X0_145,X0_151] :
% 3.77/1.18 ( iProver_Flat_'comp$bz'(X0_179,X0_145,X0_151) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_179=iProver_Domain_'C_d_prod_update_d_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$s'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_257,X0_67,X0_121] :
% 3.77/1.18 ( iProver_Flat_'fun_app$s'(X0_257,X0_67,X0_121) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_257=iProver_Domain_'B_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uuk$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_27,X0_253] :
% 3.77/1.18 ( iProver_Flat_'uuk$'(X0_27,X0_253) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_27=iProver_Domain_'A_update_d_d_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$a'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_28,X0_119,X0_144] :
% 3.77/1.18 ( iProver_Flat_'register_pair$a'(X0_28,X0_119,X0_144) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bh'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_121,X0_97,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bh'(X0_121,X0_97,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_prod$h'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_170,X0_177,X0_191] :
% 3.77/1.18 ( iProver_Flat_'map_prod$h'(X0_170,X0_177,X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_170=iProver_Domain_'C_d_prod_update_c_update_prod_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$z'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_76,X0_147,X0_112] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$z'(X0_76,X0_147,X0_112) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_76=iProver_Domain_'D_update_a_update_fun_d_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cj'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_52,X0_25] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cj'(X0_195,X0_52,X0_25) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cn'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_144,X0_134,X0_86] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cn'(X0_144,X0_134,X0_86) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_208,X0_119,X0_191] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$d'(X0_208,X0_119,X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_208=iProver_Domain_'C_c_prod_update_b_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_fun$g'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_180,X0_177,X0_94] :
% 3.77/1.18 ( iProver_Flat_'map_fun$g'(X0_180,X0_177,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_180=iProver_Domain_'A_update_a_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dv'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_28,X0_186,X0_148] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dv'(X0_28,X0_186,X0_148) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$t'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_108,X0_177,X0_106] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$t'(X0_108,X0_177,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_108=iProver_Domain_'C_d_prod_d_prod_update_a_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bb'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_28,X0_119,X0_196] :
% 3.77/1.18 ( iProver_Flat_'comp$bb'(X0_28,X0_119,X0_196) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_13,X0_191,X0_94] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$b'(X0_13,X0_191,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_13=iProver_Domain_'C_a_prod_update_a_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$x'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_139,X0_152,X0_237] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$x'(X0_139,X0_152,X0_237) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_139=iProver_Domain_'C_d_prod_update_b_update_fun_d_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$h'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_72,X0_119,X0_94] :
% 3.77/1.18 ( iProver_Flat_'register_pair$h'(X0_72,X0_119,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_72=iProver_Domain_'C_a_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_fun$k'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_244,X0_106,X0_94] :
% 3.77/1.18 ( iProver_Flat_'map_fun$k'(X0_244,X0_106,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_244=iProver_Domain_'A_update_a_update_fun_d_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$j'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_207,X1_207,X2_207] :
% 3.77/1.18 ( iProver_Flat_'comp_update$j'(X0_207,X1_207,X2_207) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_207=iProver_Domain_'D_c_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$cg'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_167,X0_144,X0_86] :
% 3.77/1.18 ( iProver_Flat_'comp$cg'(X0_167,X0_144,X0_86) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_167=iProver_Domain_'B_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$al'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_82,X0_211,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$al'(X0_82,X0_211,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_82=iProver_Domain_'D_update_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bt'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_249,X0_235,X0_94] :
% 3.77/1.18 ( iProver_Flat_'comp$bt'(X0_249,X0_235,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_249=iProver_Domain_'A_update_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$r'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_137,X0_122,X0_88] :
% 3.77/1.18 ( iProver_Flat_'comp$r'(X0_137,X0_122,X0_88) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_137=iProver_Domain_'C_c_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$l'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_77,X0_106,X0_119] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$l'(X0_77,X0_106,X0_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_77=iProver_Domain_'D_c_prod_update_a_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'f$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_94] :
% 3.77/1.18 ( iProver_Flat_'f$'(X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'tensor_update$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_107,X0_38] :
% 3.77/1.18 ( iProver_Flat_'tensor_update$c'(X0_107,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_107=iProver_Domain_'B_update_a_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cc'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_38,X0_58,X0_129] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cc'(X0_38,X0_58,X0_129) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cd'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_125,X0_129] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cd'(X0_195,X0_125,X0_129) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dl'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_238,X0_151,X0_246] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dl'(X0_238,X0_151,X0_246) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$w'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_93,X0_53,X0_195] :
% 3.77/1.18 ( iProver_Flat_'fun_app$w'(X0_93,X0_53,X0_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_93=iProver_Domain_'B_d_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_157,X0_156,X0_38] :
% 3.77/1.18 ( iProver_Flat_'fun_app$f'(X0_157,X0_156,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_157=iProver_Domain_'A_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'convol$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_160,X0_106,X1_106] :
% 3.77/1.18 ( iProver_Flat_'convol$c'(X0_160,X0_106,X1_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_160=iProver_Domain_'D_update_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'tensor_update$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_263,X0_38] :
% 3.77/1.18 ( iProver_Flat_'tensor_update$d'(X0_263,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_263=iProver_Domain_'A_update_a_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bb'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_20,X0_173,X0_38] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bb'(X0_20,X0_173,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_20=iProver_Domain_'D_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$l'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_36,X1_36,X2_36] :
% 3.77/1.18 ( iProver_Flat_'comp_update$l'(X0_36,X1_36,X2_36) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_36=iProver_Domain_'C_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$m'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_144,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$m'(X0_195,X0_144,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$n'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_38,X0_44,X0_92,X0_257] :
% 3.77/1.18 ( iProver_Flat_'register_pair$n'(X0_38,X0_44,X0_92,X0_257) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cz'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_224,X0_113,X0_121] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cz'(X0_224,X0_113,X0_121) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_224=iProver_Domain_'C_d_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bq'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_66,X0_145,X0_252] :
% 3.77/1.18 ( iProver_Flat_'comp$bq'(X0_66,X0_145,X0_252) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_66=iProver_Domain_'C_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$v'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_65,X0_258,X0_185] :
% 3.77/1.18 ( iProver_Flat_'register_pair$v'(X0_65,X0_258,X0_185) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_65=iProver_Domain_'A_c_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$aa'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_147,X0_215,X0_71] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$aa'(X0_147,X0_215,X0_71) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_147=iProver_Domain_'D_update_a_update_fun_c_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$ai'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_254,X0_211,X0_71] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$ai'(X0_254,X0_211,X0_71) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_254=iProver_Domain_'D_update_a_update_fun_d_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'top$a'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_75] :
% 3.77/1.18 ( iProver_Flat_'top$a'(X0_75) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_75=iProver_Domain_'D_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cb'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_121,X0_114,X0_195] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cb'(X0_121,X0_114,X0_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$af'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_96,X0_136,X0_237] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$af'(X0_96,X0_136,X0_237) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_96=iProver_Domain_'D_update_b_update_fun_c_d_prod_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'top$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_266] :
% 3.77/1.18 ( iProver_Flat_'top$'(X0_266) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_266=iProver_Domain_'C_d_prod_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_prod$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_145,X0_94,X1_94] :
% 3.77/1.18 ( iProver_Flat_'map_prod$'(X0_145,X0_94,X1_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_145=iProver_Domain_'A_update_a_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uwd$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_78] :
% 3.77/1.18 ( iProver_Flat_'uwd$'(X0_78) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_78=iProver_Domain_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$ca'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_262,X0_145,X0_50] :
% 3.77/1.18 ( iProver_Flat_'comp$ca'(X0_262,X0_145,X0_50) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_262=iProver_Domain_'D_update_c_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uus$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_173,X0_94] :
% 3.77/1.18 ( iProver_Flat_'uus$'(X0_173,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_173=iProver_Domain_'A_update_d_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvs$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_94,X0_195] :
% 3.77/1.18 ( iProver_Flat_'uvs$'(X0_94,X0_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$aa'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_126,X0_155,X0_239] :
% 3.77/1.18 ( iProver_Flat_'comp$aa'(X0_126,X0_155,X0_239) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_126=iProver_Domain_'D_d_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_178,X0_14,X0_202] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$b'(X0_178,X0_14,X0_202) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_178=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'id_update$a'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_164] :
% 3.77/1.18 ( iProver_Flat_'id_update$a'(X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$e'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_191,X1_191,X0_218] :
% 3.77/1.18 ( iProver_Flat_'comp$e'(X0_191,X1_191,X0_218) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$au'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_38,X0_106,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$au'(X0_38,X0_106,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bz'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_28,X0_224] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bz'(X0_195,X0_28,X0_224) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bx'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_200,X0_145,X0_170] :
% 3.77/1.18 ( iProver_Flat_'comp$bx'(X0_200,X0_145,X0_170) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_200=iProver_Domain_'C_d_prod_update_c_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$ak'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_92,X0_191,X0_146] :
% 3.77/1.18 ( iProver_Flat_'comp$ak'(X0_92,X0_191,X0_146) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_92=iProver_Domain_'A_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$at'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_106,X0_92,X1_106] :
% 3.77/1.18 ( iProver_Flat_'comp$at'(X0_106,X0_92,X1_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$ai'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_56,X0_155,X0_54] :
% 3.77/1.18 ( iProver_Flat_'comp$ai'(X0_56,X0_155,X0_54) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_56=iProver_Domain_'C_d_prod_c_d_prod_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_119,X0_167,X1_119] :
% 3.77/1.18 ( iProver_Flat_'comp$d'(X0_119,X0_167,X1_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$ak'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_169,X0_247,X0_219] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$ak'(X0_169,X0_247,X0_219) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_169=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uwb$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_222,X0_18] :
% 3.77/1.18 ( iProver_Flat_'uwb$'(X0_222,X0_18) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_222=iProver_Domain_'C_d_prod_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$u'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_125,X0_118,X0_74] :
% 3.77/1.18 ( iProver_Flat_'comp$u'(X0_125,X0_118,X0_74) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_125=iProver_Domain_'A_d_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$as'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_20,X0_153,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$as'(X0_20,X0_153,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_20=iProver_Domain_'D_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_116,X0_144,X0_119] :
% 3.77/1.18 ( iProver_Flat_'register_pair$d'(X0_116,X0_144,X0_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_116=iProver_Domain_'D_c_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$aj'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_46,X0_183,X0_103] :
% 3.77/1.18 ( iProver_Flat_'comp$aj'(X0_46,X0_183,X0_103) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_46=iProver_Domain_'A_a_prod_update_a_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$aw'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_248,X0_68,X0_203] :
% 3.77/1.18 ( iProver_Flat_'comp$aw'(X0_248,X0_68,X0_203) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_248=iProver_Domain_'B_update_c_d_prod_update_fun_c_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uux$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_210,X0_146] :
% 3.77/1.18 ( iProver_Flat_'uux$'(X0_210,X0_146) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_210=iProver_Domain_'A_update_d_c_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$az'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_38,X0_44,X0_195] :
% 3.77/1.18 ( iProver_Flat_'fun_app$az'(X0_38,X0_44,X0_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvq$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_156,X0_94] :
% 3.77/1.18 ( iProver_Flat_'uvq$'(X0_156,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_156=iProver_Domain_'A_update_a_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$m'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_182,X0_106,X0_94] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$m'(X0_182,X0_106,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_182=iProver_Domain_'D_a_prod_update_a_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bl'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_229,X0_111,X0_106] :
% 3.77/1.18 ( iProver_Flat_'comp$bl'(X0_229,X0_111,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_229=iProver_Domain_'D_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'compatible$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_37,X0_191] :
% 3.77/1.18 ( iProver_Flat_'compatible$'(X0_37,X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$ay'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_35,X0_68,X0_171] :
% 3.77/1.18 ( iProver_Flat_'comp$ay'(X0_35,X0_68,X0_171) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_35=iProver_Domain_'B_update_c_update_fun_c_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvw$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_249,X0_94,X1_94] :
% 3.77/1.18 ( iProver_Flat_'uvw$'(X0_249,X0_94,X1_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_249=iProver_Domain_'A_update_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_fun$h'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_128,X0_28,X0_119] :
% 3.77/1.18 ( iProver_Flat_'map_fun$h'(X0_128,X0_28,X0_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_128=iProver_Domain_'B_update_c_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_prod$a'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_45,X0_119,X1_119] :
% 3.77/1.18 ( iProver_Flat_'map_prod$a'(X0_45,X0_119,X1_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_45=iProver_Domain_'C_update_c_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_129,X0_227,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$c'(X0_129,X0_227,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_129=iProver_Domain_'A_d_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ar'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_240,X0_78,X0_94] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ar'(X0_240,X0_78,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_240=iProver_Domain_'A_update_b_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$de'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_23,X0_99,X0_172] :
% 3.77/1.18 ( iProver_Flat_'fun_app$de'(X0_23,X0_99,X0_172) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ce'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_224,X0_62,X1_224] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ce'(X0_224,X0_62,X1_224) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_224=iProver_Domain_'C_d_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'relcompp$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_236,X0_232,X0_47] :
% 3.77/1.18 ( iProver_Flat_'relcompp$d'(X0_236,X0_232,X0_47) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_236=iProver_Domain_'B_update_d_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cr'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_92,X0_171,X0_114] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cr'(X0_92,X0_171,X0_114) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_92=iProver_Domain_'A_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_57,X0_119,X0_94] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$f'(X0_57,X0_119,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_57=iProver_Domain_'C_a_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dy'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_158,X0_184] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dy'(X0_195,X0_158,X0_184) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bk'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_141,X0_111,X0_177] :
% 3.77/1.18 ( iProver_Flat_'comp$bk'(X0_141,X0_111,X0_177) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_141=iProver_Domain_'C_d_prod_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$aw'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_187,X0_32,X0_121] :
% 3.77/1.18 ( iProver_Flat_'fun_app$aw'(X0_187,X0_32,X0_121) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_187=iProver_Domain_'D_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uve$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_263] :
% 3.77/1.18 ( iProver_Flat_'uve$'(X0_263) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_263=iProver_Domain_'A_update_a_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'top$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_18] :
% 3.77/1.18 ( iProver_Flat_'top$c'(X0_18) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_18=iProver_Domain_'A_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$ac'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_24,X0_155,X0_197] :
% 3.77/1.18 ( iProver_Flat_'comp$ac'(X0_24,X0_155,X0_197) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_24=iProver_Domain_'C_d_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_52,X0_94,X1_94] :
% 3.77/1.18 ( iProver_Flat_'register_pair$b'(X0_52,X0_94,X1_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_52=iProver_Domain_'A_a_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvf$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_225,X0_144] :
% 3.77/1.18 ( iProver_Flat_'uvf$'(X0_225,X0_144) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_225=iProver_Domain_'D_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cl'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_220,X0_187] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cl'(X0_195,X0_220,X0_187) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$t'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_137,X0_118,X0_208] :
% 3.77/1.18 ( iProver_Flat_'comp$t'(X0_137,X0_118,X0_208) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_137=iProver_Domain_'C_c_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$h'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_40,X0_223,X0_237] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$h'(X0_40,X0_223,X0_237) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_40=iProver_Domain_'C_update_b_update_fun_c_d_prod_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'collect$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_266,X0_256] :
% 3.77/1.18 ( iProver_Flat_'collect$'(X0_266,X0_256) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_266=iProver_Domain_'C_d_prod_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bl'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_25,X0_183,X0_101] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bl'(X0_25,X0_183,X0_101) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_25=iProver_Domain_'A_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$al'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_198,X0_109,X0_219] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$al'(X0_198,X0_109,X0_219) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_198=iProver_Domain_'C_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$t'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_157,X0_174,X0_121] :
% 3.77/1.18 ( iProver_Flat_'fun_app$t'(X0_157,X0_174,X0_121) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_157=iProver_Domain_'A_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_129,X0_142,X0_38] :
% 3.77/1.18 ( iProver_Flat_'fun_app$b'(X0_129,X0_142,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_129=iProver_Domain_'A_d_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$m'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_62,X0_224] :
% 3.77/1.18 ( iProver_Flat_'comp_update$m'(X0_62,X0_224) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_62=iProver_Domain_'C_d_prod_update_c_d_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$ap'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_106,X0_44,X0_144] :
% 3.77/1.18 ( iProver_Flat_'comp$ap'(X0_106,X0_44,X0_144) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$j'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_125,X0_94,X0_144] :
% 3.77/1.18 ( iProver_Flat_'register_pair$j'(X0_125,X0_94,X0_144) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_125=iProver_Domain_'A_d_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$z'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_167,X0_119,X0_114] :
% 3.77/1.18 ( iProver_Flat_'comp$z'(X0_167,X0_119,X0_114) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_167=iProver_Domain_'B_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'convol$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_141,X0_28,X1_28] :
% 3.77/1.18 ( iProver_Flat_'convol$d'(X0_141,X0_28,X1_28) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_141=iProver_Domain_'C_d_prod_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bh'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_252,X1_252,X0_218] :
% 3.77/1.18 ( iProver_Flat_'comp$bh'(X0_252,X1_252,X0_218) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_252=iProver_Domain_'C_update_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bw'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_230,X0_193,X0_94] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bw'(X0_230,X0_193,X0_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_230=iProver_Domain_'D_update_a_update_fun_d_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bu'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_45,X0_145,X0_131] :
% 3.77/1.18 ( iProver_Flat_'comp$bu'(X0_45,X0_145,X0_131) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_45=iProver_Domain_'C_update_c_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'compatible$ad'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_37,X0_106] :
% 3.77/1.18 ( iProver_Flat_'compatible$ad'(X0_37,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'tensor_update$m'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_36,X0_121,X0_38] :
% 3.77/1.18 ( iProver_Flat_'tensor_update$m'(X0_36,X0_121,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_36=iProver_Domain_'C_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'conversep$a'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_243,X0_204] :
% 3.77/1.18 ( iProver_Flat_'conversep$a'(X0_243,X0_204) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_243=iProver_Domain_'A_update_c_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'relcompp$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_175,X0_232,X0_29] :
% 3.77/1.18 ( iProver_Flat_'relcompp$c'(X0_175,X0_232,X0_29) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_175=iProver_Domain_'B_update_c_d_prod_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'collect$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_59,X0_241] :
% 3.77/1.18 ( iProver_Flat_'collect$f'(X0_59,X0_241) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_59=iProver_Domain_'C_update_a_update_fun_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$x'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_167,X1_195] :
% 3.77/1.18 ( iProver_Flat_'fun_app$x'(X0_195,X0_167,X1_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$br'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_141,X0_145,X0_228] :
% 3.77/1.18 ( iProver_Flat_'comp$br'(X0_141,X0_145,X0_228) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_141=iProver_Domain_'C_d_prod_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'id_update$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_38] :
% 3.77/1.18 ( iProver_Flat_'id_update$'(X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'convol$a'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_111,X0_94,X1_94] :
% 3.77/1.18 ( iProver_Flat_'convol$a'(X0_111,X0_94,X1_94) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_111=iProver_Domain_'A_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'pred_fun$e'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_37,X0_82,X0_249] :
% 3.77/1.18 ( iProver_Flat_'pred_fun$e'(X0_37,X0_82,X0_249) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$w'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_130,X0_152,X0_71] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$w'(X0_130,X0_152,X0_71) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_130=iProver_Domain_'C_d_prod_update_a_update_fun_d_update_a_update_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'conversep$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_29,X0_143] :
% 3.77/1.18 ( iProver_Flat_'conversep$b'(X0_29,X0_143) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_29=iProver_Domain_'A_update_c_d_prod_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_251,X1_251,X2_251] :
% 3.77/1.18 ( iProver_Flat_'comp_update$f'(X0_251,X1_251,X2_251) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_251=iProver_Domain_'B_c_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'relcompp$e'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_247,X0_204,X0_243] :
% 3.77/1.18 ( iProver_Flat_'relcompp$e'(X0_247,X0_204,X0_243) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_247=iProver_Domain_'C_update_c_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_prod$l'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_151,X0_177,X0_106] :
% 3.77/1.18 ( iProver_Flat_'map_prod$l'(X0_151,X0_177,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_151=iProver_Domain_'C_d_prod_update_d_update_prod_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'collect$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_260,X0_120] :
% 3.77/1.18 ( iProver_Flat_'collect$b'(X0_260,X0_120) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_260=iProver_Domain_'C_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$g'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_137,X0_119,X1_119] :
% 3.77/1.18 ( iProver_Flat_'register_pair$g'(X0_137,X0_119,X1_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_137=iProver_Domain_'C_c_prod_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_257,X0_159,X0_195] :
% 3.77/1.18 ( iProver_Flat_'fun_app$'(X0_257,X0_159,X0_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_257=iProver_Domain_'B_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bf'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_111,X0_66,X0_146] :
% 3.77/1.18 ( iProver_Flat_'comp$bf'(X0_111,X0_66,X0_146) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_111=iProver_Domain_'A_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_fun$a'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_171,X0_94,X0_191] :
% 3.77/1.18 ( iProver_Flat_'map_fun$a'(X0_171,X0_94,X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_171=iProver_Domain_'B_update_c_update_fun_a_update_a_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvx$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_247] :
% 3.77/1.18 ( iProver_Flat_'uvx$'(X0_247) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_247=iProver_Domain_'C_update_c_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'compatible$m'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_241,X0_191] :
% 3.77/1.18 ( iProver_Flat_'compatible$m'(X0_241,X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_241=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'rel_fun$ah'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_214,X0_254,X0_209] :
% 3.77/1.18 ( iProver_Flat_'rel_fun$ah'(X0_214,X0_254,X0_209) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_214=iProver_Domain_'D_update_a_update_fun_d_update_b_update_fun_fun_d_update_a_update_fun_d_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$ae'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_19,X0_155,X0_108] :
% 3.77/1.18 ( iProver_Flat_'comp$ae'(X0_19,X0_155,X0_108) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_19=iProver_Domain_'C_d_prod_d_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dn'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_238,X0_50,X0_133] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dn'(X0_238,X0_50,X0_133) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bc'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_187,X0_163,X0_38] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bc'(X0_187,X0_163,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_187=iProver_Domain_'D_a_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'relcompp$g'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_188,X0_204,X0_219] :
% 3.77/1.18 ( iProver_Flat_'relcompp$g'(X0_188,X0_204,X0_219) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_188=iProver_Domain_'C_update_b_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_fun$e'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_216,X0_94,X0_106] :
% 3.77/1.18 ( iProver_Flat_'map_fun$e'(X0_216,X0_94,X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_216=iProver_Domain_'B_update_d_update_fun_a_update_a_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uuf$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_241,X0_59] :
% 3.77/1.18 ( iProver_Flat_'uuf$'(X0_241,X0_59) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_241=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$r'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_34,X0_144,X0_119] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$r'(X0_34,X0_144,X0_119) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_34=iProver_Domain_'D_c_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'image$f'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_184,X0_94,X0_18] :
% 3.77/1.18 ( iProver_Flat_'image$f'(X0_184,X0_94,X0_18) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_184=iProver_Domain_'B_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uud$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_37,X0_201] :
% 3.77/1.18 ( iProver_Flat_'uud$'(X0_37,X0_201) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'conversep$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_47,X0_127] :
% 3.77/1.18 ( iProver_Flat_'conversep$c'(X0_47,X0_127) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_47=iProver_Domain_'A_update_d_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvd$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_156] :
% 3.77/1.18 ( iProver_Flat_'uvd$'(X0_156) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_156=iProver_Domain_'A_update_a_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$n'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_42,X0_225,X0_164] :
% 3.77/1.18 ( iProver_Flat_'fun_app$n'(X0_42,X0_225,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$cq'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_144,X0_217,X0_114] :
% 3.77/1.18 ( iProver_Flat_'fun_app$cq'(X0_144,X0_217,X0_114) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uuc$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_249,X0_18] :
% 3.77/1.18 ( iProver_Flat_'uuc$'(X0_249,X0_18) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_249=iProver_Domain_'A_update_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'h$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_106] :
% 3.77/1.18 ( iProver_Flat_'h$'(X0_106) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$ac'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_56,X0_28,X1_28] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$ac'(X0_56,X0_28,X1_28) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_56=iProver_Domain_'C_d_prod_c_d_prod_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$da'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_23,X0_145,X0_238] :
% 3.77/1.18 ( iProver_Flat_'fun_app$da'(X0_23,X0_145,X0_238) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$az'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_191,X0_177,X0_113] :
% 3.77/1.18 ( iProver_Flat_'comp$az'(X0_191,X0_177,X0_113) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$y'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_191,X0_106,X0_245] :
% 3.77/1.18 ( iProver_Flat_'comp$y'(X0_191,X0_106,X0_245) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dr'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_238,X0_242,X0_41] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dr'(X0_238,X0_242,X0_41) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$c'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_43,X0_191,X0_144] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$c'(X0_43,X0_191,X0_144) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_43=iProver_Domain_'C_d_prod_update_a_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'tensor_update$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_221,X0_38] :
% 3.77/1.18 ( iProver_Flat_'tensor_update$b'(X0_221,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_221=iProver_Domain_'C_update_a_c_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bs'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_229,X0_145,X0_160] :
% 3.77/1.18 ( iProver_Flat_'comp$bs'(X0_229,X0_145,X0_160) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_229=iProver_Domain_'D_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ao'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_235,X0_237,X0_195] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ao'(X0_235,X0_237,X0_195) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_235=iProver_Domain_'B_update_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_pair$r'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_121,X0_146,X0_97,X0_129] :
% 3.77/1.18 ( iProver_Flat_'register_pair$r'(X0_121,X0_146,X0_97,X0_129) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uwf$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_237] :
% 3.77/1.18 ( iProver_Flat_'uwf$'(X0_237) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_237=iProver_Domain_'B_update_b_update_bool_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$bs'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_42,X0_24,X0_224] :
% 3.77/1.18 ( iProver_Flat_'fun_app$bs'(X0_42,X0_24,X0_224) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bo'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_30,X0_180,X0_216] :
% 3.77/1.18 ( iProver_Flat_'comp$bo'(X0_30,X0_180,X0_216) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_30=iProver_Domain_'B_update_d_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_prod$p'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_70,X0_106,X0_177] :
% 3.77/1.18 ( iProver_Flat_'map_prod$p'(X0_70,X0_106,X0_177) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_70=iProver_Domain_'D_update_c_d_prod_update_prod_a_update_a_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_87,X0_164] :
% 3.77/1.18 ( iProver_Flat_'comp_update$b'(X0_87,X0_164) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_87=iProver_Domain_'D_update_d_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp_update$g'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_20,X1_20,X2_20] :
% 3.77/1.18 ( iProver_Flat_'comp_update$g'(X0_20,X1_20,X2_20) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_20=iProver_Domain_'D_b_prod_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$dg'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_23,X0_63,X0_98] :
% 3.77/1.18 ( iProver_Flat_'fun_app$dg'(X0_23,X0_63,X0_98) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ds'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_23,X0_176,X0_41] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ds'(X0_23,X0_176,X0_41) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'image$e'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_184,X0_144,X0_75] :
% 3.77/1.18 ( iProver_Flat_'image$e'(X0_184,X0_144,X0_75) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_184=iProver_Domain_'B_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'top$b'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_260] :
% 3.77/1.18 ( iProver_Flat_'top$b'(X0_260) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_260=iProver_Domain_'C_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_183,X0_191,X1_191] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$'(X0_183,X0_191,X1_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_183=iProver_Domain_'C_c_prod_update_a_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uvu$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_256] :
% 3.77/1.18 ( iProver_Flat_'uvu$'(X0_256) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_256=iProver_Domain_'C_d_prod_update_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bc'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_177,X0_191,X0_196] :
% 3.77/1.18 ( iProver_Flat_'comp$bc'(X0_177,X0_191,X0_196) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_177=iProver_Domain_'C_d_prod_update_a_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'fun_app$ae'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_195,X0_94,X0_38] :
% 3.77/1.18 ( iProver_Flat_'fun_app$ae'(X0_195,X0_94,X0_38) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'image$d'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_184,X0_28,X0_266] :
% 3.77/1.18 ( iProver_Flat_'image$d'(X0_184,X0_28,X0_266) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_184=iProver_Domain_'B_update_set'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'comp$bj'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_66,X0_111,X0_191] :
% 3.77/1.18 ( iProver_Flat_'comp$bj'(X0_66,X0_111,X0_191) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_66=iProver_Domain_'C_update_b_update_b_update_prod_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'register_tensor$aa'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_233,X0_119,X0_28] :
% 3.77/1.18 ( iProver_Flat_'register_tensor$aa'(X0_233,X0_119,X0_28) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_233=iProver_Domain_'C_c_d_prod_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uua$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_82,X0_75] :
% 3.77/1.18 ( iProver_Flat_'uua$'(X0_82,X0_75) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_82=iProver_Domain_'D_update_bool_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'uuv$'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_162,X0_44] :
% 3.77/1.18 ( iProver_Flat_'uuv$'(X0_162,X0_44) <=>
% 3.77/1.18 (
% 3.77/1.18 (
% 3.77/1.18 ( X0_162=iProver_Domain_'B_update_d_a_prod_update_fun'_1 )
% 3.77/1.18 )
% 3.77/1.18
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 )
% 3.77/1.18 ).
% 3.77/1.18
% 3.77/1.18 %------ Positive definition of iProver_Flat_'map_prod$j'
% 3.77/1.18 fof(lit_def,axiom,
% 3.77/1.18 (! [X0_48,X0_177,X1_177] :
% 3.77/1.18 ( iProver_Flat_'map_prod$j'(X0_48,X0_177,X1_177) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_48=iProver_Domain_'C_d_prod_update_c_d_prod_update_prod_a_update_a_update_prod_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'fun_app$ac'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_121,X0_146,X0_38] :
% 3.77/1.19 ( iProver_Flat_'fun_app$ac'(X0_121,X0_146,X0_38) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'fun_app$cs'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_119,X0_248,X0_148] :
% 3.77/1.19 ( iProver_Flat_'fun_app$cs'(X0_119,X0_248,X0_148) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'uvy$'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_109] :
% 3.77/1.19 ( iProver_Flat_'uvy$'(X0_109) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_109=iProver_Domain_'C_d_prod_update_c_d_prod_update_bool_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'comp$bd'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_177,X0_92,X1_177] :
% 3.77/1.19 ( iProver_Flat_'comp$bd'(X0_177,X0_92,X1_177) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_177=iProver_Domain_'C_d_prod_update_a_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'register_pair$l'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_165,X0_94,X0_119] :
% 3.77/1.19 ( iProver_Flat_'register_pair$l'(X0_165,X0_94,X0_119) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_165=iProver_Domain_'A_c_prod_update_b_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'map_fun$c'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_203,X0_94,X0_177] :
% 3.77/1.19 ( iProver_Flat_'map_fun$c'(X0_203,X0_94,X0_177) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_203=iProver_Domain_'B_update_c_d_prod_update_fun_a_update_a_update_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'register_pair$p'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_121,X0_114,X0_146,X0_257] :
% 3.77/1.19 ( iProver_Flat_'register_pair$p'(X0_121,X0_114,X0_146,X0_257) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'tensor_update$l'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_101,X0_121,X1_121] :
% 3.77/1.19 ( iProver_Flat_'tensor_update$l'(X0_101,X0_121,X1_121) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_101=iProver_Domain_'C_c_prod_update'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'grp$'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_219,X0_18,X0_94] :
% 3.77/1.19 ( iProver_Flat_'grp$'(X0_219,X0_18,X0_94) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_219=iProver_Domain_'A_update_b_update_bool_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'comp$cd'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_114,X0_146,X0_44] :
% 3.77/1.19 ( iProver_Flat_'comp$cd'(X0_114,X0_146,X0_44) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_114=iProver_Domain_'B_update_c_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'uvo$'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_174,X0_119] :
% 3.77/1.19 ( iProver_Flat_'uvo$'(X0_174,X0_119) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_174=iProver_Domain_'C_update_a_b_prod_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'fun_app$dj'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_238,X0_48,X0_26] :
% 3.77/1.19 ( iProver_Flat_'fun_app$dj'(X0_238,X0_48,X0_26) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'fun_app$r'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_42,X0_185,X0_121] :
% 3.77/1.19 ( iProver_Flat_'fun_app$r'(X0_42,X0_185,X0_121) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'comp$ad'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_17,X0_155,X0_183] :
% 3.77/1.19 ( iProver_Flat_'comp$ad'(X0_17,X0_155,X0_183) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_17=iProver_Domain_'C_c_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'map_fun$'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_68,X0_191,X0_94] :
% 3.77/1.19 ( iProver_Flat_'map_fun$'(X0_68,X0_191,X0_94) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_68=iProver_Domain_'A_update_a_update_fun_c_update_b_update_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'register_pair$c'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_49,X0_144,X1_144] :
% 3.77/1.19 ( iProver_Flat_'register_pair$c'(X0_49,X0_144,X1_144) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_49=iProver_Domain_'D_d_prod_update_b_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'image$c'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_184,X0_119,X0_260] :
% 3.77/1.19 ( iProver_Flat_'image$c'(X0_184,X0_119,X0_260) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_184=iProver_Domain_'B_update_set'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'comp$l'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_116,X0_52,X0_138] :
% 3.77/1.19 ( iProver_Flat_'comp$l'(X0_116,X0_52,X0_138) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_116=iProver_Domain_'D_c_prod_update_b_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'fun_app$q'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_195,X0_119,X0_121] :
% 3.77/1.19 ( iProver_Flat_'fun_app$q'(X0_195,X0_119,X0_121) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'register_tensor$g'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_24,X0_119,X0_144] :
% 3.77/1.19 ( iProver_Flat_'register_tensor$g'(X0_24,X0_119,X0_144) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_24=iProver_Domain_'C_d_prod_update_b_b_prod_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'map_prod$n'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_50,X0_106,X0_191] :
% 3.77/1.19 ( iProver_Flat_'map_prod$n'(X0_50,X0_106,X0_191) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_50=iProver_Domain_'D_update_c_update_prod_a_update_a_update_prod_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'uuu$'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_190,X0_167] :
% 3.77/1.19 ( iProver_Flat_'uuu$'(X0_190,X0_167) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_190=iProver_Domain_'B_update_d_b_prod_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'rel_fun$a'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_78,X0_71,X0_237] :
% 3.77/1.19 ( iProver_Flat_'rel_fun$a'(X0_78,X0_71,X0_237) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_78=iProver_Domain_'A_update_b_update_fun_a_update_b_update_fun_bool_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'map_fun$j'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_30,X0_28,X0_144] :
% 3.77/1.19 ( iProver_Flat_'map_fun$j'(X0_30,X0_28,X0_144) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_30=iProver_Domain_'B_update_d_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'register_pair$s'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_55,X0_191,X1_191] :
% 3.77/1.19 ( iProver_Flat_'register_pair$s'(X0_55,X0_191,X1_191) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_55=iProver_Domain_'C_c_prod_update_a_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'compatible$d'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_37,X0_92] :
% 3.77/1.19 ( iProver_Flat_'compatible$d'(X0_37,X0_92) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'map_fun$f'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_110,X0_119,X0_144] :
% 3.77/1.19 ( iProver_Flat_'map_fun$f'(X0_110,X0_119,X0_144) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_110=iProver_Domain_'B_update_d_update_fun_c_update_b_update_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'register_tensor$ae'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_46,X0_92,X1_92] :
% 3.77/1.19 ( iProver_Flat_'register_tensor$ae'(X0_46,X0_92,X1_92) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_46=iProver_Domain_'A_a_prod_update_a_a_prod_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'fun_app$cu'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_92,X0_203,X0_148] :
% 3.77/1.19 ( iProver_Flat_'fun_app$cu'(X0_92,X0_203,X0_148) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_92=iProver_Domain_'A_update_a_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'fun_app$h'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_25,X0_263,X0_38] :
% 3.77/1.19 ( iProver_Flat_'fun_app$h'(X0_25,X0_263,X0_38) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_25=iProver_Domain_'A_a_prod_update'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'comp$cb'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_73,X0_145,X0_70] :
% 3.77/1.19 ( iProver_Flat_'comp$cb'(X0_73,X0_145,X0_70) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_73=iProver_Domain_'D_update_c_d_prod_update_prod_b_update_b_update_prod_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'comp_update$c'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_218,X0_121] :
% 3.77/1.19 ( iProver_Flat_'comp_update$c'(X0_218,X0_121) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_218=iProver_Domain_'C_update_c_update_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'comp$bm'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_128,X0_180,X0_171] :
% 3.77/1.19 ( iProver_Flat_'comp$bm'(X0_128,X0_180,X0_171) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_128=iProver_Domain_'B_update_c_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.77/1.19 %------ Positive definition of iProver_Flat_'rel_fun$ad'
% 3.77/1.19 fof(lit_def,axiom,
% 3.77/1.19 (! [X0_91,X0_115,X0_96] :
% 3.77/1.19 ( iProver_Flat_'rel_fun$ad'(X0_91,X0_115,X0_96) <=>
% 3.77/1.19 (
% 3.77/1.19 (
% 3.77/1.19 ( X0_91=iProver_Domain_'D_update_a_update_fun_d_update_b_update_fun_fun_c_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.77/1.19 )
% 3.77/1.19
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 )
% 3.77/1.19 ).
% 3.77/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$av'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_20,X0_161,X0_121] :
% 3.98/1.19 ( iProver_Flat_'fun_app$av'(X0_20,X0_161,X0_121) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_20=iProver_Domain_'D_b_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$j'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_239,X0_106,X1_106] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$j'(X0_239,X0_106,X1_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_239=iProver_Domain_'D_d_prod_update_a_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$bd'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_92,X1_38] :
% 3.98/1.19 ( iProver_Flat_'fun_app$bd'(X0_38,X0_92,X1_38) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$bw'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_63,X0_145,X0_132] :
% 3.98/1.19 ( iProver_Flat_'comp$bw'(X0_63,X0_145,X0_132) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_63=iProver_Domain_'C_update_d_update_prod_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$ag'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_95,X0_155,X0_150] :
% 3.98/1.19 ( iProver_Flat_'comp$ag'(X0_95,X0_155,X0_150) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_95=iProver_Domain_'C_d_prod_c_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$cv'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_119,X0_110,X0_86] :
% 3.98/1.19 ( iProver_Flat_'fun_app$cv'(X0_119,X0_110,X0_86) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$dh'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_238,X0_170,X0_81] :
% 3.98/1.19 ( iProver_Flat_'fun_app$dh'(X0_238,X0_170,X0_81) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'relcompp$b'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_64,X0_232,X0_243] :
% 3.98/1.19 ( iProver_Flat_'relcompp$b'(X0_64,X0_232,X0_243) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_64=iProver_Domain_'B_update_c_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uuy$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_163,X0_92] :
% 3.98/1.19 ( iProver_Flat_'uuy$'(X0_163,X0_92) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_163=iProver_Domain_'A_update_d_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$au'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_134,X0_244,X0_216] :
% 3.98/1.19 ( iProver_Flat_'comp$au'(X0_134,X0_244,X0_216) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_134=iProver_Domain_'B_update_d_update_fun_d_update_b_update_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$o'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_264,X0_104,X0_71] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$o'(X0_264,X0_104,X0_71) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_264=iProver_Domain_'C_d_prod_update_a_update_fun_c_update_a_update_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$f'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_132,X0_191,X0_106] :
% 3.98/1.19 ( iProver_Flat_'map_prod$f'(X0_132,X0_191,X0_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_132=iProver_Domain_'C_update_d_update_prod_a_update_a_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uul$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_149,X0_146] :
% 3.98/1.19 ( iProver_Flat_'uul$'(X0_149,X0_146) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_149=iProver_Domain_'A_update_c_d_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$b'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_131,X0_191,X1_191] :
% 3.98/1.19 ( iProver_Flat_'map_prod$b'(X0_131,X0_191,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_131=iProver_Domain_'C_update_c_update_prod_a_update_a_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$ax'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_110,X0_68,X0_216] :
% 3.98/1.19 ( iProver_Flat_'comp$ax'(X0_110,X0_68,X0_216) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_110=iProver_Domain_'B_update_d_update_fun_c_update_b_update_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$d'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_16,X0_191,X0_177] :
% 3.98/1.19 ( iProver_Flat_'map_prod$d'(X0_16,X0_191,X0_177) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_16=iProver_Domain_'C_update_c_d_prod_update_prod_a_update_a_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$af'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_15,X0_155,X0_140] :
% 3.98/1.19 ( iProver_Flat_'comp$af'(X0_15,X0_155,X0_140) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_15=iProver_Domain_'D_c_d_prod_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uug$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_206,X0_119] :
% 3.98/1.19 ( iProver_Flat_'uug$'(X0_206,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_206=iProver_Domain_'C_update_b_d_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'compatible$g'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_241,X0_106] :
% 3.98/1.19 ( iProver_Flat_'compatible$g'(X0_241,X0_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_241=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'tensor_update$j'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_187,X0_164,X0_38] :
% 3.98/1.19 ( iProver_Flat_'tensor_update$j'(X0_187,X0_164,X0_38) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_187=iProver_Domain_'D_a_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$bj'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_28,X0_84,X0_177] :
% 3.98/1.19 ( iProver_Flat_'fun_app$bj'(X0_28,X0_84,X0_177) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$by'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_177,X0_224] :
% 3.98/1.19 ( iProver_Flat_'fun_app$by'(X0_38,X0_177,X0_224) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_pair$x'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_155,X0_258,X1_258] :
% 3.98/1.19 ( iProver_Flat_'register_pair$x'(X0_155,X0_258,X1_258) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_155=iProver_Domain_'A_a_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_fun$b'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_35,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_'map_fun$b'(X0_35,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_35=iProver_Domain_'B_update_c_update_fun_c_update_b_update_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_pair$i'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_118,X0_167,X0_94] :
% 3.98/1.19 ( iProver_Flat_'register_pair$i'(X0_118,X0_167,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_118=iProver_Domain_'B_a_prod_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$z'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_189,X0_191,X0_177] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$z'(X0_189,X0_191,X0_177) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_189=iProver_Domain_'C_c_d_prod_prod_update_a_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$ay'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_187,X0_162,X0_195] :
% 3.98/1.19 ( iProver_Flat_'fun_app$ay'(X0_187,X0_162,X0_195) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_187=iProver_Domain_'D_a_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'grp$a'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_169,X0_59,X0_60] :
% 3.98/1.19 ( iProver_Flat_'grp$a'(X0_169,X0_59,X0_60) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_169=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$am'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_120,X0_247,X0_121] :
% 3.98/1.19 ( iProver_Flat_'fun_app$am'(X0_120,X0_247,X0_121) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_120=iProver_Domain_'C_update_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'compatible$r'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_37,X0_44] :
% 3.98/1.19 ( iProver_Flat_'compatible$r'(X0_37,X0_44) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'convol$e'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_229,X0_144,X1_144] :
% 3.98/1.19 ( iProver_Flat_'convol$e'(X0_229,X0_144,X1_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_229=iProver_Domain_'D_update_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$bt'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_257,X0_154,X0_61] :
% 3.98/1.19 ( iProver_Flat_'fun_app$bt'(X0_257,X0_154,X0_61) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_257=iProver_Domain_'B_a_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$f'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_119,X1_119,X0_218] :
% 3.98/1.19 ( iProver_Flat_'comp$f'(X0_119,X1_119,X0_218) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_pair$k'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_58,X0_92,X0_106] :
% 3.98/1.19 ( iProver_Flat_'register_pair$k'(X0_58,X0_92,X0_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_58=iProver_Domain_'A_d_prod_update_a_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'relcompp$j'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_117,X0_143,X0_219] :
% 3.98/1.19 ( iProver_Flat_'relcompp$j'(X0_117,X0_143,X0_219) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_117=iProver_Domain_'C_d_prod_update_b_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$w'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_15,X0_144,X0_28] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$w'(X0_15,X0_144,X0_28) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_15=iProver_Domain_'D_c_d_prod_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$ax'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_20,X0_190,X0_195] :
% 3.98/1.19 ( iProver_Flat_'fun_app$ax'(X0_20,X0_190,X0_195) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_20=iProver_Domain_'D_b_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'tensor_update$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_51,X0_195] :
% 3.98/1.19 ( iProver_Flat_'tensor_update$'(X0_51,X0_195) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_51=iProver_Domain_'A_update_b_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$r'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_89,X0_123,X0_213] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$r'(X0_89,X0_123,X0_213) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_89=iProver_Domain_'C_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_fun_c_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uup$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_192,X0_167] :
% 3.98/1.19 ( iProver_Flat_'uup$'(X0_192,X0_167) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_192=iProver_Domain_'B_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$ab'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_112,X0_215,X0_237] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$ab'(X0_112,X0_215,X0_237) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_112=iProver_Domain_'D_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uue$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_222,X0_22] :
% 3.98/1.19 ( iProver_Flat_'uue$'(X0_222,X0_22) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_222=iProver_Domain_'C_d_prod_update_a_update_fun_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$j'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_199,X0_205,X0_102] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$j'(X0_199,X0_205,X0_102) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_199=iProver_Domain_'C_update_a_update_fun_c_update_b_update_fun_fun_d_update_a_update_fun_d_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$p'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_93,X0_206,X0_121] :
% 3.98/1.19 ( iProver_Flat_'fun_app$p'(X0_93,X0_206,X0_121) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_93=iProver_Domain_'B_d_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$o'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_73,X0_144,X0_28] :
% 3.98/1.19 ( iProver_Flat_'map_prod$o'(X0_73,X0_144,X0_28) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_73=iProver_Domain_'D_update_c_d_prod_update_prod_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uuo$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_225,X0_144] :
% 3.98/1.19 ( iProver_Flat_'uuo$'(X0_225,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_225=iProver_Domain_'D_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uuh$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_100,X0_94] :
% 3.98/1.19 ( iProver_Flat_'uuh$'(X0_100,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_100=iProver_Domain_'A_update_b_d_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$ce'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_148,X0_149,X0_44] :
% 3.98/1.19 ( iProver_Flat_'comp$ce'(X0_148,X0_149,X0_44) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_148=iProver_Domain_'B_update_c_d_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'image$a'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_18,X0_106,X0_75] :
% 3.98/1.19 ( iProver_Flat_'image$a'(X0_18,X0_106,X0_75) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_18=iProver_Domain_'A_update_set'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_pair$m'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_181,X0_92,X0_44] :
% 3.98/1.19 ( iProver_Flat_'register_pair$m'(X0_181,X0_92,X0_44) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_181=iProver_Domain_'A_b_prod_update_a_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$d'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_61,X0_85,X0_38] :
% 3.98/1.19 ( iProver_Flat_'fun_app$d'(X0_61,X0_85,X0_38) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_61=iProver_Domain_'A_c_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'grp$b'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_198,X0_22,X0_84] :
% 3.98/1.19 ( iProver_Flat_'grp$b'(X0_198,X0_22,X0_84) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_198=iProver_Domain_'C_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$p'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_124,X0_104,X0_237] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$p'(X0_124,X0_104,X0_237) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_124=iProver_Domain_'C_d_prod_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$dc'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_23,X0_45,X0_166] :
% 3.98/1.19 ( iProver_Flat_'fun_app$dc'(X0_23,X0_45,X0_166) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uuj$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_53,X0_167] :
% 3.98/1.19 ( iProver_Flat_'uuj$'(X0_53,X0_167) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_53=iProver_Domain_'B_update_b_d_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$g'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_94,X0_167,X1_94] :
% 3.98/1.19 ( iProver_Flat_'comp$g'(X0_94,X0_167,X1_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uvv$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_82] :
% 3.98/1.19 ( iProver_Flat_'uvv$'(X0_82) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_82=iProver_Domain_'D_update_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'preregister$a'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_241] :
% 3.98/1.19 ( iProver_Flat_'preregister$a'(X0_241) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_241=iProver_Domain_'C_update_a_update_fun_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'relcompp$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_237,X0_232,X0_219] :
% 3.98/1.19 ( iProver_Flat_'relcompp$'(X0_237,X0_232,X0_219) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_237=iProver_Domain_'B_update_b_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uuz$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_185,X0_119] :
% 3.98/1.19 ( iProver_Flat_'uuz$'(X0_185,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_185=iProver_Domain_'C_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$p'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_144,X0_167,X1_144] :
% 3.98/1.19 ( iProver_Flat_'comp$p'(X0_144,X0_167,X1_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$bx'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_218,X1_121] :
% 3.98/1.19 ( iProver_Flat_'fun_app$bx'(X0_121,X0_218,X1_121) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uuq$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_32,X0_191] :
% 3.98/1.19 ( iProver_Flat_'uuq$'(X0_32,X0_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_32=iProver_Domain_'C_update_d_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uvi$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_67,X0_191] :
% 3.98/1.19 ( iProver_Flat_'uvi$'(X0_67,X0_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_67=iProver_Domain_'C_update_b_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$n'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_79,X0_106,X0_144] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$n'(X0_79,X0_106,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_79=iProver_Domain_'D_d_prod_update_a_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$m'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_262,X0_144,X0_119] :
% 3.98/1.19 ( iProver_Flat_'map_prod$m'(X0_262,X0_144,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_262=iProver_Domain_'D_update_c_update_prod_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'id_update$b'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121] :
% 3.98/1.19 ( iProver_Flat_'id_update$b'(X0_121) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$ba'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_119,X0_28,X0_113] :
% 3.98/1.19 ( iProver_Flat_'comp$ba'(X0_119,X0_28,X0_113) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$o'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_49,X0_122,X0_79] :
% 3.98/1.19 ( iProver_Flat_'comp$o'(X0_49,X0_122,X0_79) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_49=iProver_Domain_'D_d_prod_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'relcompp$m'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_194,X0_127,X0_219] :
% 3.98/1.19 ( iProver_Flat_'relcompp$m'(X0_194,X0_127,X0_219) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_194=iProver_Domain_'D_update_b_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$q'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_176,X0_144,X1_144] :
% 3.98/1.19 ( iProver_Flat_'map_prod$q'(X0_176,X0_144,X1_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_176=iProver_Domain_'D_update_d_update_prod_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uvp$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_174,X0_191] :
% 3.98/1.19 ( iProver_Flat_'uvp$'(X0_174,X0_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_174=iProver_Domain_'C_update_a_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$c'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_191,X0_44,X0_119] :
% 3.98/1.19 ( iProver_Flat_'comp$c'(X0_191,X0_44,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$al'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_144,X0_119,X0_97] :
% 3.98/1.19 ( iProver_Flat_'comp$al'(X0_144,X0_119,X0_97) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'image$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_18,X0_177,X0_266] :
% 3.98/1.19 ( iProver_Flat_'image$'(X0_18,X0_177,X0_266) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_18=iProver_Domain_'A_update_set'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$am'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_94,X1_94,X0_92] :
% 3.98/1.19 ( iProver_Flat_'comp$am'(X0_94,X1_94,X0_92) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$bi'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_86,X0_195] :
% 3.98/1.19 ( iProver_Flat_'fun_app$bi'(X0_164,X0_86,X0_195) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_pair$o'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_86,X0_253,X0_257] :
% 3.98/1.19 ( iProver_Flat_'register_pair$o'(X0_164,X0_86,X0_253,X0_257) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$c'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_99,X0_119,X0_28] :
% 3.98/1.19 ( iProver_Flat_'map_prod$c'(X0_99,X0_119,X0_28) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_99=iProver_Domain_'C_update_c_d_prod_update_prod_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uwc$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_37,X0_18] :
% 3.98/1.19 ( iProver_Flat_'uwc$'(X0_37,X0_18) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$y'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_42,X0_192,X0_195] :
% 3.98/1.19 ( iProver_Flat_'fun_app$y'(X0_42,X0_192,X0_195) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uvr$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_69,X0_144] :
% 3.98/1.19 ( iProver_Flat_'uvr$'(X0_69,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_69=iProver_Domain_'D_update_a_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$x'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_150,X0_177,X0_191] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$x'(X0_150,X0_177,X0_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_150=iProver_Domain_'C_d_prod_c_prod_update_a_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$dm'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_23,X0_179,X0_246] :
% 3.98/1.19 ( iProver_Flat_'fun_app$dm'(X0_23,X0_179,X0_246) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_pair$u'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_74,X0_51,X0_259] :
% 3.98/1.19 ( iProver_Flat_'register_pair$u'(X0_74,X0_51,X0_259) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_74=iProver_Domain_'A_d_prod_update_b_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$do'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_23,X0_262,X0_133] :
% 3.98/1.19 ( iProver_Flat_'fun_app$do'(X0_23,X0_262,X0_133) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_23=iProver_Domain_'B_update_b_update_prod'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'pred_fun$c'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_222,X0_256,X0_249] :
% 3.98/1.19 ( iProver_Flat_'pred_fun$c'(X0_222,X0_256,X0_249) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_222=iProver_Domain_'C_d_prod_update_a_update_fun_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$dp'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_238,X0_70,X0_105] :
% 3.98/1.19 ( iProver_Flat_'fun_app$dp'(X0_238,X0_70,X0_105) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$af'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_42,X0_258,X0_38] :
% 3.98/1.19 ( iProver_Flat_'fun_app$af'(X0_42,X0_258,X0_38) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_42=iProver_Domain_'B_b_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$ap'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_249,X0_71,X0_38] :
% 3.98/1.19 ( iProver_Flat_'fun_app$ap'(X0_249,X0_71,X0_38) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_249=iProver_Domain_'A_update_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'collect$a'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_75,X0_82] :
% 3.98/1.19 ( iProver_Flat_'collect$a'(X0_75,X0_82) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_75=iProver_Domain_'D_update_set'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$bn'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_186,X0_180,X0_203] :
% 3.98/1.19 ( iProver_Flat_'comp$bn'(X0_186,X0_180,X0_203) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_186=iProver_Domain_'B_update_c_d_prod_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'tensor_update$i'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_20,X0_164,X0_195] :
% 3.98/1.19 ( iProver_Flat_'tensor_update$i'(X0_20,X0_164,X0_195) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_20=iProver_Domain_'D_b_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$n'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_220,X0_122,X0_182] :
% 3.98/1.19 ( iProver_Flat_'comp$n'(X0_220,X0_122,X0_182) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_220=iProver_Domain_'D_a_prod_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$o'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_257,X0_259,X0_164] :
% 3.98/1.19 ( iProver_Flat_'fun_app$o'(X0_257,X0_259,X0_164) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_257=iProver_Domain_'B_a_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'relcompp$a'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_219,X0_71,X1_219] :
% 3.98/1.19 ( iProver_Flat_'relcompp$a'(X0_219,X0_71,X1_219) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_219=iProver_Domain_'A_update_b_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$ab'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_34,X0_155,X0_138] :
% 3.98/1.19 ( iProver_Flat_'comp$ab'(X0_34,X0_155,X0_138) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_34=iProver_Domain_'D_c_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$d'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_202,X0_247,X0_237] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$d'(X0_202,X0_247,X0_237) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_202=iProver_Domain_'C_update_b_update_fun_c_update_b_update_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'relcompp$i'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_29,X0_71,X1_29] :
% 3.98/1.19 ( iProver_Flat_'relcompp$i'(X0_29,X0_71,X1_29) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_29=iProver_Domain_'A_update_c_d_prod_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$ah'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_233,X0_155,X0_189] :
% 3.98/1.19 ( iProver_Flat_'comp$ah'(X0_233,X0_155,X0_189) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_233=iProver_Domain_'C_c_d_prod_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$e'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_17,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$e'(X0_17,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_17=iProver_Domain_'C_c_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uvg$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_51,X0_94] :
% 3.98/1.19 ( iProver_Flat_'uvg$'(X0_51,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_51=iProver_Domain_'A_update_b_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$co'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_144,X0_244,X0_92] :
% 3.98/1.19 ( iProver_Flat_'fun_app$co'(X0_144,X0_244,X0_92) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$u'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_19,X0_28,X0_144] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$u'(X0_19,X0_28,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_19=iProver_Domain_'C_d_prod_d_prod_update_b_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$n'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_261,X0_264,X0_124] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$n'(X0_261,X0_264,X0_124) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_261=iProver_Domain_'C_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_fun_c_update_a_update_fun_c_update_b_update_fun_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uvz$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_211] :
% 3.98/1.19 ( iProver_Flat_'uvz$'(X0_211) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_211=iProver_Domain_'D_update_d_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register$e'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_37] :
% 3.98/1.19 ( iProver_Flat_'register$e'(X0_37) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_37=iProver_Domain_'D_update_a_update_fun_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$g'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_200,X0_28,X0_119] :
% 3.98/1.19 ( iProver_Flat_'map_prod$g'(X0_200,X0_28,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_200=iProver_Domain_'C_d_prod_update_c_update_prod_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$be'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_119,X0_60,X0_191] :
% 3.98/1.19 ( iProver_Flat_'fun_app$be'(X0_119,X0_60,X0_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'collect$d'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_201,X0_37] :
% 3.98/1.19 ( iProver_Flat_'collect$d'(X0_201,X0_37) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_201=iProver_Domain_'D_update_a_update_fun_set'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'register_tensor$ab'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_54,X0_177,X1_177] :
% 3.98/1.19 ( iProver_Flat_'register_tensor$ab'(X0_54,X0_177,X1_177) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_54=iProver_Domain_'C_d_prod_c_d_prod_prod_update_a_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uut$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_153,X0_144] :
% 3.98/1.19 ( iProver_Flat_'uut$'(X0_153,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_153=iProver_Domain_'D_update_d_b_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$cf'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_55,X0_101] :
% 3.98/1.19 ( iProver_Flat_'fun_app$cf'(X0_38,X0_55,X0_101) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'relcompp$k'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_211,X0_127,X0_47] :
% 3.98/1.19 ( iProver_Flat_'relcompp$k'(X0_211,X0_127,X0_47) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_211=iProver_Domain_'D_update_d_update_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$q'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_137,X0_52,X0_183] :
% 3.98/1.19 ( iProver_Flat_'comp$q'(X0_137,X0_52,X0_183) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_137=iProver_Domain_'C_c_prod_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp_update$h'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_187,X1_187,X2_187] :
% 3.98/1.19 ( iProver_Flat_'comp_update$h'(X0_187,X1_187,X2_187) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_187=iProver_Domain_'D_a_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$df'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_238,X0_132,X0_98] :
% 3.98/1.19 ( iProver_Flat_'fun_app$df'(X0_238,X0_132,X0_98) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_238=iProver_Domain_'A_update_a_update_prod'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$ci'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_195,X0_165,X0_61] :
% 3.98/1.19 ( iProver_Flat_'fun_app$ci'(X0_195,X0_165,X0_61) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$z'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_255,X0_27,X0_38] :
% 3.98/1.19 ( iProver_Flat_'fun_app$z'(X0_255,X0_27,X0_38) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_255=iProver_Domain_'D_d_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$dx'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_144,X0_265,X0_148] :
% 3.98/1.19 ( iProver_Flat_'fun_app$dx'(X0_144,X0_265,X0_148) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_144=iProver_Domain_'D_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$b'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_191,X0_92,X1_191] :
% 3.98/1.19 ( iProver_Flat_'comp$b'(X0_191,X0_92,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$ak'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_256,X0_109,X0_224] :
% 3.98/1.19 ( iProver_Flat_'fun_app$ak'(X0_256,X0_109,X0_224) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_256=iProver_Domain_'C_d_prod_update_bool_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'comp$ar'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_92,X0_106,X0_253] :
% 3.98/1.19 ( iProver_Flat_'comp$ar'(X0_92,X0_106,X0_253) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_92=iProver_Domain_'A_update_a_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'top$d'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_184] :
% 3.98/1.19 ( iProver_Flat_'top$d'(X0_184) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_184=iProver_Domain_'B_update_set'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'map_prod$e'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_63,X0_119,X0_144] :
% 3.98/1.19 ( iProver_Flat_'map_prod$e'(X0_63,X0_119,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_63=iProver_Domain_'C_update_d_update_prod_b_update_b_update_prod_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'rel_fun$t'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_213,X0_109,X0_237] :
% 3.98/1.19 ( iProver_Flat_'rel_fun$t'(X0_213,X0_109,X0_237) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_213=iProver_Domain_'C_d_prod_update_b_update_fun_c_d_prod_update_b_update_fun_bool_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'uvk$'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_168,X0_191] :
% 3.98/1.19 ( iProver_Flat_'uvk$'(X0_168,X0_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_168=iProver_Domain_'C_update_a_a_prod_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$bk'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_84,X0_135,X0_94] :
% 3.98/1.19 ( iProver_Flat_'fun_app$bk'(X0_84,X0_135,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_84=iProver_Domain_'C_d_prod_update_a_update_fun_c_d_prod_update_b_update_fun_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$at'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_157,X0_69,X0_164] :
% 3.98/1.19 ( iProver_Flat_'fun_app$at'(X0_157,X0_69,X0_164) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_157=iProver_Domain_'A_b_prod_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_'fun_app$ct'
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_119,X0_68,X0_92] :
% 3.98/1.19 ( iProver_Flat_'fun_app$ct'(X0_119,X0_68,X0_92) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK0
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X1_191] :
% 3.98/1.19 ( iProver_Flat_sK0(X0_121,X0_191,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK1
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X1_191] :
% 3.98/1.19 ( iProver_Flat_sK1(X0_121,X0_191,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK2
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_sK2(X0_121,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK3
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_sK3(X0_121,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK4
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK4(X0_121,X0_119,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK5
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_119,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK5(X0_38,X0_119,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK6
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK6(X0_38,X0_94,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK7
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_94,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK7(X0_121,X0_94,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK8
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X1_94] :
% 3.98/1.19 ( iProver_Flat_sK8(X0_38,X0_94,X1_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK9
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X1_94] :
% 3.98/1.19 ( iProver_Flat_sK9(X0_38,X0_94,X1_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK10
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X0_144] :
% 3.98/1.19 ( iProver_Flat_sK10(X0_38,X0_94,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK11
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_94,X0_144] :
% 3.98/1.19 ( iProver_Flat_sK11(X0_164,X0_94,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK12
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK12(X0_164,X0_144,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK13
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_144,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK13(X0_121,X0_144,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK14
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK14(X0_164,X0_144,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK15
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_144,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK15(X0_38,X0_144,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK16
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X1_144] :
% 3.98/1.19 ( iProver_Flat_sK16(X0_164,X0_144,X1_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK17
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X1_144] :
% 3.98/1.19 ( iProver_Flat_sK17(X0_164,X0_144,X1_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK18
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X0_106] :
% 3.98/1.19 ( iProver_Flat_sK18(X0_121,X0_191,X0_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK19
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_191,X0_106] :
% 3.98/1.19 ( iProver_Flat_sK19(X0_164,X0_191,X0_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK20
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X1_191] :
% 3.98/1.19 ( iProver_Flat_sK20(X0_121,X0_191,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK21
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X1_191] :
% 3.98/1.19 ( iProver_Flat_sK21(X0_121,X0_191,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK22
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_sK22(X0_121,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK23
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_sK23(X0_121,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK24
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK24(X0_121,X0_119,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK25
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_119,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK25(X0_38,X0_119,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK26
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK26(X0_38,X0_94,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK27
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_94,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK27(X0_121,X0_94,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK28
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X1_94] :
% 3.98/1.19 ( iProver_Flat_sK28(X0_38,X0_94,X1_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK29
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X1_94] :
% 3.98/1.19 ( iProver_Flat_sK29(X0_38,X0_94,X1_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK30
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X0_144] :
% 3.98/1.19 ( iProver_Flat_sK30(X0_38,X0_94,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK31
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_94,X0_144] :
% 3.98/1.19 ( iProver_Flat_sK31(X0_164,X0_94,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK32
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK32(X0_164,X0_144,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK33
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_144,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK33(X0_121,X0_144,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK34
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK34(X0_164,X0_144,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK35
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_144,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK35(X0_38,X0_144,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK36
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X1_144] :
% 3.98/1.19 ( iProver_Flat_sK36(X0_164,X0_144,X1_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK37
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_144,X1_144] :
% 3.98/1.19 ( iProver_Flat_sK37(X0_164,X0_144,X1_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK38
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X0_106] :
% 3.98/1.19 ( iProver_Flat_sK38(X0_121,X0_191,X0_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK39
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_164,X0_191,X0_106] :
% 3.98/1.19 ( iProver_Flat_sK39(X0_164,X0_191,X0_106) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK40
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X1_191] :
% 3.98/1.19 ( iProver_Flat_sK40(X0_121,X0_191,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK41
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_191,X1_191] :
% 3.98/1.19 ( iProver_Flat_sK41(X0_121,X0_191,X1_191) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK42
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_sK42(X0_121,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK43
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X1_119] :
% 3.98/1.19 ( iProver_Flat_sK43(X0_121,X0_119,X1_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK44
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_119,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK44(X0_121,X0_119,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK45
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_119,X0_94] :
% 3.98/1.19 ( iProver_Flat_sK45(X0_38,X0_119,X0_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK46
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK46(X0_38,X0_94,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK47
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_121,X0_94,X0_119] :
% 3.98/1.19 ( iProver_Flat_sK47(X0_121,X0_94,X0_119) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK48
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X1_94] :
% 3.98/1.19 ( iProver_Flat_sK48(X0_38,X0_94,X1_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK49
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X1_94] :
% 3.98/1.19 ( iProver_Flat_sK49(X0_38,X0_94,X1_94) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.19 )
% 3.98/1.19
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 )
% 3.98/1.19 ).
% 3.98/1.19
% 3.98/1.19 %------ Positive definition of iProver_Flat_sK50
% 3.98/1.19 fof(lit_def,axiom,
% 3.98/1.19 (! [X0_38,X0_94,X0_144] :
% 3.98/1.19 ( iProver_Flat_sK50(X0_38,X0_94,X0_144) <=>
% 3.98/1.19 (
% 3.98/1.19 (
% 3.98/1.19 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK51
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_94,X0_144] :
% 3.98/1.20 ( iProver_Flat_sK51(X0_164,X0_94,X0_144) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK52
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X0_119] :
% 3.98/1.20 ( iProver_Flat_sK52(X0_164,X0_144,X0_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK53
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_144,X0_119] :
% 3.98/1.20 ( iProver_Flat_sK53(X0_121,X0_144,X0_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK54
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X0_94] :
% 3.98/1.20 ( iProver_Flat_sK54(X0_164,X0_144,X0_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK55
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_144,X0_94] :
% 3.98/1.20 ( iProver_Flat_sK55(X0_38,X0_144,X0_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK56
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X1_144] :
% 3.98/1.20 ( iProver_Flat_sK56(X0_164,X0_144,X1_144) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK57
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X1_144] :
% 3.98/1.20 ( iProver_Flat_sK57(X0_164,X0_144,X1_144) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK58
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_191,X0_106] :
% 3.98/1.20 ( iProver_Flat_sK58(X0_121,X0_191,X0_106) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK59
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_191,X0_106] :
% 3.98/1.20 ( iProver_Flat_sK59(X0_164,X0_191,X0_106) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK60
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_28,X1_28] :
% 3.98/1.20 ( iProver_Flat_sK60(X0_121,X0_28,X1_28) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK61
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_28,X1_28] :
% 3.98/1.20 ( iProver_Flat_sK61(X0_164,X0_28,X1_28) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK62
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_191,X1_191] :
% 3.98/1.20 ( iProver_Flat_sK62(X0_121,X0_191,X1_191) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK63
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_191,X1_191] :
% 3.98/1.20 ( iProver_Flat_sK63(X0_121,X0_191,X1_191) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK64
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_119,X1_119] :
% 3.98/1.20 ( iProver_Flat_sK64(X0_121,X0_119,X1_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK65
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_119,X1_119] :
% 3.98/1.20 ( iProver_Flat_sK65(X0_121,X0_119,X1_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK66
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_119,X0_94] :
% 3.98/1.20 ( iProver_Flat_sK66(X0_121,X0_119,X0_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK67
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_119,X0_94] :
% 3.98/1.20 ( iProver_Flat_sK67(X0_38,X0_119,X0_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK68
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_94,X0_119] :
% 3.98/1.20 ( iProver_Flat_sK68(X0_38,X0_94,X0_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK69
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_94,X0_119] :
% 3.98/1.20 ( iProver_Flat_sK69(X0_121,X0_94,X0_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK70
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK70(X0_38,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK71
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK71(X0_38,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK72
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_94,X0_144] :
% 3.98/1.20 ( iProver_Flat_sK72(X0_38,X0_94,X0_144) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK73
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_94,X0_144] :
% 3.98/1.20 ( iProver_Flat_sK73(X0_164,X0_94,X0_144) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK74
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X0_119] :
% 3.98/1.20 ( iProver_Flat_sK74(X0_164,X0_144,X0_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK75
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_144,X0_119] :
% 3.98/1.20 ( iProver_Flat_sK75(X0_121,X0_144,X0_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK76
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X0_94] :
% 3.98/1.20 ( iProver_Flat_sK76(X0_164,X0_144,X0_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK77
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_144,X0_94] :
% 3.98/1.20 ( iProver_Flat_sK77(X0_38,X0_144,X0_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK78
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X1_144] :
% 3.98/1.20 ( iProver_Flat_sK78(X0_164,X0_144,X1_144) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK79
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_144,X1_144] :
% 3.98/1.20 ( iProver_Flat_sK79(X0_164,X0_144,X1_144) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK80
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_191,X0_106] :
% 3.98/1.20 ( iProver_Flat_sK80(X0_121,X0_191,X0_106) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK81
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_191,X0_106] :
% 3.98/1.20 ( iProver_Flat_sK81(X0_164,X0_191,X0_106) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK82
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_106,X0_37,X1_37] :
% 3.98/1.20 ( iProver_Flat_sK82(X0_106,X0_37,X1_37) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK83
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_177,X0_222,X1_222] :
% 3.98/1.20 ( iProver_Flat_sK83(X0_177,X0_222,X1_222) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_177=iProver_Domain_'C_d_prod_update_a_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK84
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_191,X0_241,X1_241] :
% 3.98/1.20 ( iProver_Flat_sK84(X0_191,X0_241,X1_241) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK85
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_106,X0_75] :
% 3.98/1.20 ( iProver_Flat_sK85(X0_106,X0_75) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK86
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_106,X0_75] :
% 3.98/1.20 ( iProver_Flat_sK86(X0_106,X0_75) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_106=iProver_Domain_'D_update_a_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK87
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_75,X0_106,X1_106] :
% 3.98/1.20 ( iProver_Flat_sK87(X0_164,X0_75,X0_106,X1_106) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK88
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_119,X0_260] :
% 3.98/1.20 ( iProver_Flat_sK88(X0_119,X0_260) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK89
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_119,X0_260] :
% 3.98/1.20 ( iProver_Flat_sK89(X0_119,X0_260) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_119=iProver_Domain_'C_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK90
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_260,X0_119,X1_119] :
% 3.98/1.20 ( iProver_Flat_sK90(X0_121,X0_260,X0_119,X1_119) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK91
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_191,X0_260] :
% 3.98/1.20 ( iProver_Flat_sK91(X0_191,X0_260) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK92
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_191,X0_260] :
% 3.98/1.20 ( iProver_Flat_sK92(X0_191,X0_260) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_191=iProver_Domain_'C_update_a_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK93
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_260,X0_191,X1_191] :
% 3.98/1.20 ( iProver_Flat_sK93(X0_121,X0_260,X0_191,X1_191) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK94
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_167,X0_184] :
% 3.98/1.20 ( iProver_Flat_sK94(X0_167,X0_184) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_167=iProver_Domain_'B_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK95
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_167,X0_184] :
% 3.98/1.20 ( iProver_Flat_sK95(X0_167,X0_184) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_167=iProver_Domain_'B_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK96
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_195,X0_184,X0_167,X1_167] :
% 3.98/1.20 ( iProver_Flat_sK96(X0_195,X0_184,X0_167,X1_167) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_195=iProver_Domain_'B_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK97
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_94,X0_18] :
% 3.98/1.20 ( iProver_Flat_sK97(X0_94,X0_18) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK98
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_94,X0_18] :
% 3.98/1.20 ( iProver_Flat_sK98(X0_94,X0_18) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_94=iProver_Domain_'A_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK99
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_18,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK99(X0_38,X0_18,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK100
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_28,X0_266] :
% 3.98/1.20 ( iProver_Flat_sK100(X0_28,X0_266) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK101
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_28,X0_266] :
% 3.98/1.20 ( iProver_Flat_sK101(X0_28,X0_266) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_28=iProver_Domain_'C_d_prod_update_b_update_fun'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK102
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_224,X0_266,X0_28,X1_28] :
% 3.98/1.20 ( iProver_Flat_sK102(X0_224,X0_266,X0_28,X1_28) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_224=iProver_Domain_'C_d_prod_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK103
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_224,X0_266,X0_28,X1_28] :
% 3.98/1.20 ( iProver_Flat_sK103(X0_224,X0_266,X0_28,X1_28) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_224=iProver_Domain_'C_d_prod_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK104
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_121,X0_191,X0_260,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK104(X0_121,X0_191,X0_260,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_121=iProver_Domain_'C_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK105
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_224,X0_177,X0_266,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK105(X0_224,X0_177,X0_266,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_224=iProver_Domain_'C_d_prod_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK106
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_164,X0_106,X0_75,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK106(X0_164,X0_106,X0_75,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_164=iProver_Domain_'D_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK107
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_191,X1_191,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK107(X0_38,X0_191,X1_191,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK108
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_191,X1_191,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK108(X0_38,X0_191,X1_191,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK109
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_177,X1_177,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK109(X0_38,X0_177,X1_177,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK110
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_177,X1_177,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK110(X0_38,X0_177,X1_177,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK111
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_106,X1_106,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK111(X0_38,X0_106,X1_106,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK112
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_106,X1_106,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK112(X0_38,X0_106,X1_106,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK113
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_191,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK113(X0_38,X0_191,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK114
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_177,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK114(X0_38,X0_177,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK115
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_106,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK115(X0_38,X0_106,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK116
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_191,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK116(X0_38,X0_191,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK117
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_177,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK117(X0_38,X0_177,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20
% 3.98/1.20 %------ Positive definition of iProver_Flat_sK118
% 3.98/1.20 fof(lit_def,axiom,
% 3.98/1.20 (! [X0_38,X0_106,X0_94,X1_94] :
% 3.98/1.20 ( iProver_Flat_sK118(X0_38,X0_106,X0_94,X1_94) <=>
% 3.98/1.20 (
% 3.98/1.20 (
% 3.98/1.20 ( X0_38=iProver_Domain_'A_update'_1 )
% 3.98/1.20 )
% 3.98/1.20
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 )
% 3.98/1.20 ).
% 3.98/1.20 % SZS output end Model for theBenchmark.p
% 3.98/1.20
%------------------------------------------------------------------------------