%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : ITP323_1 : TPTP v9.3.1. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 25 01:51:10 PM UTC 2026 % Result : CounterSatisfiable 0.78s 1.21s % Output : Model 0.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : ITP323_1 : TPTP v9.3.1. Released v8.0.0. % 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.11/0.38 % Computer : n003.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Wed Sep 23 18:25:50 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT % 0.11/0.41 Running model finding % 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.43 % 0.11/0.43 % ======== iProver multi-core TPTP/SMT ========= % 0.11/0.43 % 0.11/0.43 % Detected problem language: tptp % 0.11/0.44 % Proving... % 0.78/1.21 % SZS status Started for theBenchmark.p % 0.78/1.21 % SZS status Satisfiable for theBenchmark.p % 0.78/1.21 % 0.78/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 0.78/1.21 % 0.78/1.21 ------ iProver source info % 0.78/1.21 % 0.78/1.21 git: date: 2026-07-19 20:42:38 +0200 % 0.78/1.21 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 0.78/1.21 git: non_committed_changes: false % 0.78/1.21 % 0.78/1.21 ------ Parsing... % 0.78/1.21 ------ Clausification by vclausify_rel & Parsing by iProver... % 0.78/1.21 ------ Proving... % 0.78/1.21 ------ Problem Properties % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 clauses 372 % 0.78/1.21 conjectures 1 % 0.78/1.21 EPR 14 % 0.78/1.21 Horn 318 % 0.78/1.21 unary 120 % 0.78/1.21 binary 176 % 0.78/1.21 lits 706 % 0.78/1.21 lits eq 298 % 0.78/1.21 fd_pure 1 % 0.78/1.21 fd_pseudo 0 % 0.78/1.21 fd_cond 8 % 0.78/1.21 fd_pseudo_cond 63 % 0.78/1.21 AC symbols 0 % 0.78/1.21 % 0.78/1.21 ------ Input Options Time Limit: Unbounded % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 ------ Finite Models: % 0.78/1.21 % 0.78/1.21 ------ lit_activity_flag true % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 ------ Trying domains of size >= : 1 % 0.78/1.21 % 0.78/1.21 ------ Trying domains of size >= : 2 % 0.78/1.21 ------ % 0.78/1.21 Current options: % 0.78/1.21 ------ % 0.78/1.21 % 0.78/1.21 ------ Input Options % 0.78/1.21 % 0.78/1.21 --out_options all % 0.78/1.21 --tptp_safe_out true % 0.78/1.21 --problem_path "" % 0.78/1.21 --include_path "" % 0.78/1.21 --clausifier res/vclausify_rel % 0.78/1.21 --clausifier_options --mode tclausify -t 101.66 --show_fool true -updr off % 0.78/1.21 --stdin false % 0.78/1.21 --proof_out true % 0.78/1.21 --proof_dot_file "" % 0.78/1.21 --proof_reduce_dot [] % 0.78/1.21 --suppress_sat_res false % 0.78/1.21 --suppress_unsat_res true % 0.78/1.21 --stats_out none % 0.78/1.21 --stats_mem false % 0.78/1.21 --theory_stats_out false % 0.78/1.21 % 0.78/1.21 ------ General Options % 0.78/1.21 % 0.78/1.21 --fof false % 0.78/1.21 --time_out_real 304.99 % 0.78/1.21 --time_out_virtual -1. % 0.78/1.21 --rnd_seed 13 % 0.78/1.21 --symbol_type_check false % 0.78/1.21 --clausify_out false % 0.78/1.21 --sig_cnt_out false % 0.78/1.21 --trig_cnt_out false % 0.78/1.21 --trig_cnt_out_tolerance 1. % 0.78/1.21 --trig_cnt_out_sk_spl false % 0.78/1.21 --abstr_cl_out false % 0.78/1.21 % 0.78/1.21 ------ Interactive Mode % 0.78/1.21 % 0.78/1.21 --interactive_mode false % 0.78/1.21 --external_ip_address "" % 0.78/1.21 --external_port 0 % 0.78/1.21 % 0.78/1.21 ------ Global Options % 0.78/1.21 % 0.78/1.21 --schedule none % 0.78/1.21 --add_important_lit false % 0.78/1.21 --prop_solver_per_cl 500 % 0.78/1.21 --subs_bck_mult 8 % 0.78/1.21 --min_unsat_core false % 0.78/1.21 --soft_assumptions false % 0.78/1.21 --soft_lemma_size 3 % 0.78/1.21 --prop_impl_unit_size 0 % 0.78/1.21 --prop_impl_unit [] % 0.78/1.21 --share_sel_clauses true % 0.78/1.21 --reset_solvers false % 0.78/1.21 --bc_imp_inh [conj_cone] % 0.78/1.21 --conj_cone_tolerance 3. % 0.78/1.21 --extra_neg_conj none % 0.78/1.21 --large_theory_mode true % 0.78/1.21 --prolific_symb_bound 200 % 0.78/1.21 --lt_threshold 2000 % 0.78/1.21 --clause_weak_htbl true % 0.78/1.21 --gc_record_bc_elim false % 0.78/1.21 % 0.78/1.21 ------ Preprocessing Options % 0.78/1.21 % 0.78/1.21 --preprocessing_flag false % 0.78/1.21 --time_out_prep_mult 0.1 % 0.78/1.21 --splitting_mode input % 0.78/1.21 --splitting_grd true % 0.78/1.21 --splitting_cvd false % 0.78/1.21 --splitting_cvd_svl false % 0.78/1.21 --splitting_nvd 32 % 0.78/1.21 --sub_typing false % 0.78/1.21 --prep_eq_flat_conj false % 0.78/1.21 --prep_ineq_split false % 0.78/1.21 --prep_eq_flat_all_gr false % 0.78/1.21 --prep_gs_sim true % 0.78/1.21 --prep_unflatten true % 0.78/1.21 --prep_res_sim true % 0.78/1.21 --prep_sup_sim_all true % 0.78/1.21 --prep_sup_sim_sup false % 0.78/1.21 --prep_upred true % 0.78/1.21 --prep_well_definedness true % 0.78/1.21 --prep_sem_filter exhaustive % 0.78/1.21 --prep_sem_filter_out false % 0.78/1.21 --pred_elim true % 0.78/1.21 --res_sim_input true % 0.78/1.21 --eq_ax_congr_red true % 0.78/1.21 --pure_diseq_elim true % 0.78/1.21 --brand_transform false % 0.78/1.21 --non_eq_to_eq false % 0.78/1.21 --prep_eq_proxy false % 0.78/1.21 --prep_def_merge true % 0.78/1.21 --prep_def_merge_prop_impl false % 0.78/1.21 --prep_def_merge_mbd true % 0.78/1.21 --prep_def_merge_tr_red false % 0.78/1.21 --prep_def_merge_tr_cl false % 0.78/1.21 --smt_preprocessing false % 0.78/1.21 --smt_ac_axioms fast % 0.78/1.21 --preprocessed_out false % 0.78/1.21 --preprocessed_stats false % 0.78/1.21 % 0.78/1.21 ------ Abstraction refinement Options % 0.78/1.21 % 0.78/1.21 --abstr_ref [] % 0.78/1.21 --abstr_ref_prep false % 0.78/1.21 --abstr_ref_until_sat false % 0.78/1.21 --abstr_ref_sig_restrict funpre % 0.78/1.21 --abstr_ref_af_restrict_to_split_sk false % 0.78/1.21 --abstr_ref_under [] % 0.78/1.21 % 0.78/1.21 ------ SAT Options % 0.78/1.21 % 0.78/1.21 --sat_mode true % 0.78/1.21 --sat_fm_restart_options "" % 0.78/1.21 --sat_gr_def false % 0.78/1.21 --sat_epr_types true % 0.78/1.21 --sat_non_cyclic_types false % 0.78/1.21 --sat_finite_models true % 0.78/1.21 --sat_fm_lemmas false % 0.78/1.21 --sat_fm_prep false % 0.78/1.21 --sat_fm_uc_incr true % 0.78/1.21 --sat_out_model pos % 0.78/1.21 --sat_out_clauses false % 0.78/1.21 % 0.78/1.21 ------ QBF Options % 0.78/1.21 % 0.78/1.21 --qbf_mode false % 0.78/1.21 --qbf_elim_univ false % 0.78/1.21 --qbf_dom_inst none % 0.78/1.21 --qbf_dom_pre_inst false % 0.78/1.21 --qbf_sk_in false % 0.78/1.21 --qbf_pred_elim true % 0.78/1.21 --qbf_split 512 % 0.78/1.21 % 0.78/1.21 ------ BMC1 Options % 0.78/1.21 % 0.78/1.21 --bmc1_incremental false % 0.78/1.21 --bmc1_axioms reachable_all % 0.78/1.21 --bmc1_min_bound 0 % 0.78/1.21 --bmc1_max_bound -1 % 0.78/1.21 --bmc1_max_bound_default -1 % 0.78/1.21 --bmc1_symbol_reachability true % 0.78/1.21 --bmc1_property_lemmas false % 0.78/1.21 --bmc1_k_induction false % 0.78/1.21 --bmc1_non_equiv_states false % 0.78/1.21 --bmc1_deadlock false % 0.78/1.21 --bmc1_ucm false % 0.78/1.21 --bmc1_add_unsat_core none % 0.78/1.21 --bmc1_unsat_core_children false % 0.78/1.21 --bmc1_unsat_core_extrapolate_axioms false % 0.78/1.21 --bmc1_out_stat full % 0.78/1.21 --bmc1_ground_init false % 0.78/1.21 --bmc1_pre_inst_next_state false % 0.78/1.21 --bmc1_pre_inst_state false % 0.78/1.21 --bmc1_pre_inst_reach_state false % 0.78/1.21 --bmc1_out_unsat_core false % 0.78/1.21 --bmc1_aig_witness_out false % 0.78/1.21 --bmc1_verbose false % 0.78/1.21 --bmc1_dump_clauses_tptp false % 0.78/1.21 --bmc1_dump_unsat_core_tptp false % 0.78/1.21 --bmc1_dump_file - % 0.78/1.21 --bmc1_ucm_expand_uc_limit 128 % 0.78/1.21 --bmc1_ucm_n_expand_iterations 6 % 0.78/1.21 --bmc1_ucm_extend_mode 1 % 0.78/1.21 --bmc1_ucm_init_mode 2 % 0.78/1.21 --bmc1_ucm_cone_mode none % 0.78/1.21 --bmc1_ucm_reduced_relation_type 0 % 0.78/1.21 --bmc1_ucm_relax_model 4 % 0.78/1.21 --bmc1_ucm_full_tr_after_sat true % 0.78/1.21 --bmc1_ucm_expand_neg_assumptions false % 0.78/1.21 --bmc1_ucm_layered_model none % 0.78/1.21 --bmc1_ucm_max_lemma_size 10 % 0.78/1.21 % 0.78/1.21 ------ AIG Options % 0.78/1.21 % 0.78/1.21 --aig_mode false % 0.78/1.21 % 0.78/1.21 ------ Instantiation Options % 0.78/1.21 % 0.78/1.21 --instantiation_flag true % 0.78/1.21 --inst_sos_flag false % 0.78/1.21 --inst_sos_phase true % 0.78/1.21 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 0.78/1.21 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] % 0.78/1.21 --inst_lit_sel_side num_symb % 0.78/1.21 --inst_solver_per_active 1400 % 0.78/1.21 --inst_solver_calls_frac 1. % 0.78/1.21 --inst_to_smt_solver true % 0.78/1.21 --inst_passive_queue_type priority_queues % 0.78/1.21 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 0.78/1.21 --inst_passive_queues_freq [25;2] % 0.78/1.21 --inst_dismatching true % 0.78/1.21 --inst_eager_unprocessed_to_passive true % 0.78/1.21 --inst_unprocessed_bound 1000 % 0.78/1.21 --inst_prop_sim_given true % 0.78/1.21 --inst_prop_sim_new false % 0.78/1.21 --inst_subs_new false % 0.78/1.21 --inst_eq_res_simp false % 0.78/1.21 --inst_subs_given false % 0.78/1.21 --inst_orphan_elimination true % 0.78/1.21 --inst_learning_loop_flag true % 0.78/1.21 --inst_learning_start 3000 % 0.78/1.21 --inst_learning_factor 2 % 0.78/1.21 --inst_start_prop_sim_after_learn 3 % 0.78/1.21 --inst_sel_renew solver % 0.78/1.21 --inst_lit_activity_flag true % 0.78/1.21 --inst_restr_to_given false % 0.78/1.21 --inst_activity_threshold 500 % 0.78/1.21 % 0.78/1.21 ------ Resolution Options % 0.78/1.21 % 0.78/1.21 --resolution_flag false % 0.78/1.21 --res_lit_sel adaptive % 0.78/1.21 --res_lit_sel_side none % 0.78/1.21 --res_ordering kbo % 0.78/1.21 --res_to_prop_solver active % 0.78/1.21 --res_prop_simpl_new false % 0.78/1.21 --res_prop_simpl_given true % 0.78/1.21 --res_to_smt_solver true % 0.78/1.21 --res_passive_queue_type priority_queues % 0.78/1.21 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 0.78/1.21 --res_passive_queues_freq [15;5] % 0.78/1.21 --res_forward_subs full % 0.78/1.21 --res_backward_subs full % 0.78/1.21 --res_forward_subs_resolution true % 0.78/1.21 --res_backward_subs_resolution true % 0.78/1.21 --res_orphan_elimination true % 0.78/1.21 --res_time_limit 300. % 0.78/1.21 % 0.78/1.21 ------ Superposition Options % 0.78/1.21 % 0.78/1.21 --superposition_flag false % 0.78/1.21 --sup_passive_queue_type priority_queues % 0.78/1.21 --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]] % 0.78/1.21 --sup_passive_queues_freq [8;1;4;4] % 0.78/1.21 --twee_lhs_weight 4 % 0.78/1.21 --sup_set_join false % 0.78/1.21 --sup_set_join_goals true % 0.78/1.21 --sup_set_join_limit 1000 % 0.78/1.21 --demod_completeness_check fast % 0.78/1.21 --demod_use_ground true % 0.78/1.21 --sup_unprocessed_bound 0 % 0.78/1.21 --sup_to_prop_solver passive % 0.78/1.21 --sup_prop_simpl_new true % 0.78/1.21 --sup_prop_simpl_given true % 0.78/1.21 --sup_fun_splitting false % 0.78/1.21 --sup_iter_deepening 2 % 0.78/1.21 --sup_restarts_mult 12 % 0.78/1.21 --sup_score sim_d_gen % 0.78/1.21 --sup_share_score_frac 0.2 % 0.78/1.21 --sup_share_max_num_cl 500 % 0.78/1.21 --sup_ordering kbo % 0.78/1.21 --sup_symb_ordering invfreq % 0.78/1.21 --sup_term_weight default % 0.78/1.21 % 0.78/1.21 ------ Superposition Simplification Setup % 0.78/1.21 % 0.78/1.21 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 0.78/1.21 --sup_full_triv [SMTSimplify;PropSubs] % 0.78/1.21 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 0.78/1.21 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 0.78/1.21 --sup_immed_triv [] % 0.78/1.21 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 0.78/1.21 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 0.78/1.21 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 0.78/1.21 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 0.78/1.21 --sup_input_triv [Unflattening;SMTSimplify] % 0.78/1.21 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 0.78/1.21 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 0.78/1.21 --sup_full_fixpoint true % 0.78/1.21 --sup_main_fixpoint true % 0.78/1.21 --sup_immed_fixpoint false % 0.78/1.21 --sup_input_fixpoint true % 0.78/1.21 --sup_cache_sim none % 0.78/1.21 --sup_smt_interval 500 % 0.78/1.21 --sup_bw_gjoin_interval 0 % 0.78/1.21 % 0.78/1.21 ------ Combination Options % 0.78/1.21 % 0.78/1.21 --comb_mode clause_based % 0.78/1.21 --comb_inst_mult 5 % 0.78/1.21 --comb_res_mult 1 % 0.78/1.21 --comb_sup_mult 8 % 0.78/1.21 --comb_sup_deep_mult 2 % 0.78/1.21 % 0.78/1.21 ------ Debug Options % 0.78/1.21 % 0.78/1.21 --dbg_backtrace false % 0.78/1.21 --dbg_dump_prop_clauses false % 0.78/1.21 --dbg_dump_prop_clauses_file - % 0.78/1.21 --dbg_out_stat false % 0.78/1.21 --dbg_just_parse false % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 ------ Proving... % 0.78/1.21 % 0.78/1.21 ------ Trying domains of size >= : 2 % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 ------ Proving... % 0.78/1.21 % 0.78/1.21 % 0.78/1.21 % SZS status Satisfiable for theBenchmark.p % 0.78/1.21 % 0.78/1.21 ------ Building Model...Done % 0.78/1.21 % 0.78/1.21 %------ The model is defined over ground terms (initial term algebra). % 0.78/1.21 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 0.78/1.21 %------ where \phi is a formula over the term algebra. % 0.78/1.21 %------ If we have equality in the problem then it is also defined as a predicate above, % 0.78/1.21 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 0.78/1.21 %------ See help for --sat_out_model for different model outputs. % 0.78/1.21 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 0.78/1.21 %------ where the first argument stands for the sort ($i in the unsorted case) % 0.78/1.21 % SZS output start Model for theBenchmark.p % 0.78/1.21 % 0.78/1.21 %------ Positive definition of equality_sorted % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_tType,X0_tlbool,X1_tlbool] : % 0.78/1.21 ( equality_sorted(X0_tType,X0_tlbool,X1_tlbool) <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_a_vec_a_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec$' & X1_'B_c_vec'=X0_'B_c_vec' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_c_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_a_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_a_vec$' & X1_'B_c_vec_a_vec'=X0_'B_c_vec_a_vec' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_a_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_a_vec$' & X1_'B_a_vec'=X0_'B_a_vec' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_a_vec_c_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_set$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_a_vec_a_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_a_vec_a_vec$' & X1_'B_c_vec_a_vec_a_vec'=X0_'B_c_vec_a_vec_a_vec' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B$' & X1_'B'=X0_'B' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_a_vec_a_vec_a_vec$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_a_vec_set$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType='B_c_vec_set$' ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType=tlbool ) % 0.78/1.21 & % 0.78/1.21 ( X0_tlbool!=tltrue | X1_tlbool!=tlfalse ) % 0.78/1.21 & % 0.78/1.21 ( X0_tlbool!=tlfalse ) % 0.78/1.21 & % 0.78/1.21 ( X1_tlbool!=tlfalse ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType=tlbool & X0_tlbool=tlfalse & X1_tlbool=tlfalse ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType=tlbool & X1_tlbool=tltrue ) % 0.78/1.21 & % 0.78/1.21 ( X0_tlbool!=tlfalse ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_tType=tlbool & X1_tlbool=X0_tlbool ) % 0.78/1.21 & % 0.78/1.21 ( X0_tlbool!=tlfalse ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$f' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set'] : % 0.78/1.21 ( 'member$f'(X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$b' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B',X0_'B_set'] : % 0.78/1.21 ( 'member$b'(X0_'B',X0_'B_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set'] : % 0.78/1.21 ( 'member$'(X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'fun_app$a' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_bool_fun',X0_'B_c_vec'] : % 0.78/1.21 ( 'fun_app$a'(X0_'B_c_vec_bool_fun',X0_'B_c_vec') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'fun_app$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_bool_fun',X0_'B_c_vec_a_vec'] : % 0.78/1.21 ( 'fun_app$'(X0_'B_c_vec_a_vec_bool_fun',X0_'B_c_vec_a_vec') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'fun_app$q' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec_bool_fun',X0_'B_a_vec'] : % 0.78/1.21 ( 'fun_app$q'(X0_'B_a_vec_bool_fun',X0_'B_a_vec') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$e' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_set',X0_'B_c_vec_set_set'] : % 0.78/1.21 ( 'member$e'(X0_'B_c_vec_set',X0_'B_c_vec_set_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$c' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec',X0_'B_a_vec_set'] : % 0.78/1.21 ( 'member$c'(X0_'B_a_vec',X0_'B_a_vec_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$d' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.21 ( 'member$d'(X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'less_eq$b' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_set',X1_'B_set'] : % 0.78/1.21 ( 'less_eq$b'(X0_'B_set',X1_'B_set') <=> % 0.78/1.21 $true % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$g' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_set',X0_'B_set_set'] : % 0.78/1.21 ( 'member$g'(X0_'B_set',X0_'B_set_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'fun_app$s' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec_bool_fun',X0_'B_c_vec_a_vec_a_vec'] : % 0.78/1.21 ( 'fun_app$s'(X0_'B_c_vec_a_vec_a_vec_bool_fun',X0_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'less_eq$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.21 ( 'less_eq$'(X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.21 $true % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'less_eq$a' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.21 ( 'less_eq$a'(X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.21 $true % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'fun_app$b' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_bool_fun',X0_'B'] : % 0.78/1.21 ( 'fun_app$b'(X0_'B_bool_fun',X0_'B') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of 'member$a' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec',X0_'B_c_vec_set'] : % 0.78/1.21 ( 'member$a'(X0_'B_c_vec',X0_'B_c_vec_set') <=> % 0.78/1.21 $false % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'interchange_rows$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X0_'A',X1_'A'] : % 0.78/1.21 ( iProver_Flat_'interchange_rows$'(X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X0_'A',X1_'A') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vec$g' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_c_vec',X0_'B_c_vec'] : % 0.78/1.21 ( iProver_Flat_'vec$g'(X0_'B_c_vec_c_vec',X0_'B_c_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'fun_app$r' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec_bool_fun',X0_'A_b_a_vec_bool_fun_fun',X0_'A'] : % 0.78/1.21 ( iProver_Flat_'fun_app$r'(X0_'B_a_vec_bool_fun',X0_'A_b_a_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_a_vec_bool_fun'=iProver_Domain_'B_a_vec_bool_fun'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'map_matrix$g' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec_a_vec',X0_'B_b_fun',X1_'B_a_vec_a_vec'] : % 0.78/1.21 ( iProver_Flat_'map_matrix$g'(X0_'B_a_vec_a_vec',X0_'B_b_fun',X1_'B_a_vec_a_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'times$j' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set',X2_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.21 ( iProver_Flat_'times$j'(X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set',X2_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_a_vec_set'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'transpose_row$f' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_c_vec_a_vec',X0_'C'] : % 0.78/1.21 ( iProver_Flat_'transpose_row$f'(X0_'B_c_vec_a_vec',X0_'B_c_vec_c_vec_a_vec',X0_'C') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vector_scalar_mult$b' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec_c_vec',X0_'B_a_vec',X1_'B_a_vec_c_vec'] : % 0.78/1.21 ( iProver_Flat_'vector_scalar_mult$b'(X0_'B_a_vec_c_vec',X0_'B_a_vec',X1_'B_a_vec_c_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'elt_set_plus$d' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_set_set',X0_'B_set',X1_'B_set_set'] : % 0.78/1.21 ( iProver_Flat_'elt_set_plus$d'(X0_'B_set_set',X0_'B_set',X1_'B_set_set') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vec_nth$b' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'C_b_c_vec_fun',X0_'B_c_vec_c_vec'] : % 0.78/1.21 ( iProver_Flat_'vec_nth$b'(X0_'C_b_c_vec_fun',X0_'B_c_vec_c_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'C_b_c_vec_fun'=iProver_Domain_'C_b_c_vec_fun'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'interchange_rows$d' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'A_b_c_vec_a_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec',X0_'A'] : % 0.78/1.21 ( iProver_Flat_'interchange_rows$d'(X0_'A_b_c_vec_a_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec',X0_'A') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'A_b_c_vec_a_vec_a_vec_fun'=iProver_Domain_'A_b_c_vec_a_vec_a_vec_fun'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'row_add_row$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'A_b_c_vec_fun',X0_'B_c_vec_a_vec',X0_'A',X1_'A',X0_'B'] : % 0.78/1.21 ( iProver_Flat_'row_add_row$'(X0_'A_b_c_vec_fun',X0_'B_c_vec_a_vec',X0_'A',X1_'A',X0_'B') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'A_b_c_vec_fun'=iProver_Domain_'A_b_c_vec_fun'_1 ) % 0.78/1.21 & % 0.78/1.21 ( X0_'A'!=iProver_Domain_'A'_1 | X1_'A'!=iProver_Domain_'A'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 | % 0.78/1.21 ( % 0.78/1.21 ( X0_'A_b_c_vec_fun'=iProver_Domain_'A_b_c_vec_fun'_1 & X0_'A'=iProver_Domain_'A'_1 & X1_'A'=iProver_Domain_'A'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'fun_app$g' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B',X0_'A_b_fun',X0_'A'] : % 0.78/1.21 ( iProver_Flat_'fun_app$g'(X0_'B',X0_'A_b_fun',X0_'A') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vector_scalar_mult$c' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_c_vec',X0_'B_c_vec',X1_'B_c_vec_c_vec'] : % 0.78/1.21 ( iProver_Flat_'vector_scalar_mult$c'(X0_'B_c_vec_c_vec',X0_'B_c_vec',X1_'B_c_vec_c_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vec$e' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec'] : % 0.78/1.21 ( iProver_Flat_'vec$e'(X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vector_scalar_mult$e' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec_a_vec'] : % 0.78/1.21 ( iProver_Flat_'vector_scalar_mult$e'(X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'columnvector_row$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'A'] : % 0.78/1.21 ( iProver_Flat_'columnvector_row$'(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'A') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'fun_app$t' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec_bool_fun',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun',X0_'A'] : % 0.78/1.21 ( iProver_Flat_'fun_app$t'(X0_'B_c_vec_a_vec_a_vec_bool_fun',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec_a_vec_bool_fun'=iProver_Domain_'B_c_vec_a_vec_a_vec_bool_fun'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vec_nth$l' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec_a_vec',X0_'B_a_vec_a_vec_c_vec',X0_'C'] : % 0.78/1.21 ( iProver_Flat_'vec_nth$l'(X0_'B_a_vec_a_vec',X0_'B_a_vec_a_vec_c_vec',X0_'C') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'elt_set_times$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_a_vec_set',X0_'B_a_vec',X1_'B_a_vec_set'] : % 0.78/1.21 ( iProver_Flat_'elt_set_times$'(X0_'B_a_vec_set',X0_'B_a_vec',X1_'B_a_vec_set') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_a_vec_set'=iProver_Domain_'B_a_vec_set'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'plus$o' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_set',X1_'B_set',X2_'B_set'] : % 0.78/1.21 ( iProver_Flat_'plus$o'(X0_'B_set',X1_'B_set',X2_'B_set') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'interchange_columns$a' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X0_'A',X1_'A'] : % 0.78/1.21 ( iProver_Flat_'interchange_columns$a'(X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X0_'A',X1_'A') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vector_scalar_mult$d' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_b_c_vec_fun',X0_'B'] : % 0.78/1.21 ( iProver_Flat_'vector_scalar_mult$d'(X0_'B_c_vec_b_c_vec_fun',X0_'B') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_b_c_vec_fun'=iProver_Domain_'B_c_vec_b_c_vec_fun'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'map_matrix$c' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_b_c_vec_fun',X1_'B_c_vec_a_vec_a_vec'] : % 0.78/1.21 ( iProver_Flat_'map_matrix$c'(X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_b_c_vec_fun',X1_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'map_matrix$' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec',X0_'B_b_fun',X1_'B_c_vec_a_vec'] : % 0.78/1.21 ( iProver_Flat_'map_matrix$'(X0_'B_c_vec_a_vec',X0_'B_b_fun',X1_'B_c_vec_a_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'vec_nth$a' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'C_b_fun',X0_'B_c_vec'] : % 0.78/1.21 ( iProver_Flat_'vec_nth$a'(X0_'C_b_fun',X0_'B_c_vec') <=> % 0.78/1.21 ( % 0.78/1.21 ( % 0.78/1.21 ( X0_'C_b_fun'=iProver_Domain_'C_b_fun'_1 ) % 0.78/1.21 ) % 0.78/1.21 % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ) % 0.78/1.21 ). % 0.78/1.21 % 0.78/1.21 %------ Positive definition of iProver_Flat_'plus$m' % 0.78/1.21 fof(lit_def,axiom, % 0.78/1.21 (! [X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X2_'B_c_vec_a_vec_set'] : % 0.78/1.21 ( iProver_Flat_'plus$m'(X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X2_'B_c_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'collect$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set',X0_'B_c_vec_bool_fun'] : % 0.78/1.22 ( iProver_Flat_'collect$'(X0_'B_c_vec_set',X0_'B_c_vec_bool_fun') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'map_matrix$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X0_'B_b_c_vec_fun',X0_'B_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'map_matrix$a'(X0_'B_c_vec_a_vec_a_vec',X0_'B_b_c_vec_fun',X0_'B_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A_b_c_vec_a_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$d'(X0_'A_b_c_vec_a_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A_b_c_vec_a_vec_a_vec_fun'=iProver_Domain_'A_b_c_vec_a_vec_a_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X2_'B_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'times$c'(X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X2_'B_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'times$e'(X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$k' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set',X1_'B_c_vec_set',X2_'B_c_vec_set'] : % 0.78/1.22 ( iProver_Flat_'plus$k'(X0_'B_c_vec_set',X1_'B_c_vec_set',X2_'B_c_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$j' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set',X2_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'plus$j'(X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set',X2_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X0_'B_a_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'transpose$e'(X0_'B_c_vec_a_vec',X0_'B_a_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'transpose$'(X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$w' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_bool_fun',X0_'C_b_bool_fun_fun',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'fun_app$w'(X0_'B_bool_fun',X0_'C_b_bool_fun_fun',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$z' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_bool_fun',X0_'A_b_c_vec_bool_fun_fun',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'fun_app$z'(X0_'B_c_vec_bool_fun',X0_'A_b_c_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_bool_fun'=iProver_Domain_'B_c_vec_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'interchange_rows$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A_b_c_vec_a_vec_fun',X0_'B_c_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'interchange_rows$e'(X0_'A_b_c_vec_a_vec_fun',X0_'B_c_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A_b_c_vec_a_vec_fun'=iProver_Domain_'A_b_c_vec_a_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'q$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B'] : % 0.78/1.22 ( iProver_Flat_'q$'(X0_'B') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_times$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set_set',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_times$c'(X0_'B_c_vec_a_vec_set_set',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set_set'=iProver_Domain_'B_c_vec_a_vec_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$j' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X0_'B_a_vec_a_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$j'(X0_'B_a_vec_a_vec',X0_'B_a_vec_a_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'map_matrix$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_b_c_vec_fun',X0_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'map_matrix$d'(X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_b_c_vec_fun',X0_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$p' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_set_set',X1_'B_set_set',X2_'B_set_set'] : % 0.78/1.22 ( iProver_Flat_'plus$p'(X0_'B_set_set',X1_'B_set_set',X2_'B_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'row_add_row$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'A',X1_'A',X0_'B_c_vec_a_vec',X2_'A'] : % 0.78/1.22 ( iProver_Flat_'row_add_row$b'(X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'A',X1_'A',X0_'B_c_vec_a_vec',X2_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$l' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set_set',X1_'B_c_vec_set_set',X2_'B_c_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'plus$l'(X0_'B_c_vec_set_set',X1_'B_c_vec_set_set',X2_'B_c_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set_set'=iProver_Domain_'B_c_vec_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$m' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B',X0_'B_c_vec_b_fun',X0_'B_c_vec'] : % 0.78/1.22 ( iProver_Flat_'fun_app$m'(X0_'B',X0_'B_c_vec_b_fun',X0_'B_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X0_'B_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec$f'(X0_'B_a_vec_c_vec',X0_'B_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_times$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_set',X0_'B',X1_'B_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_times$e'(X0_'B_set',X0_'B',X1_'B_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec$a'(X0_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X1_'B_a_vec_c_vec',X2_'B_a_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$g'(X0_'B_a_vec_c_vec',X1_'B_a_vec_c_vec',X2_'B_a_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$aa' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X0_'C_b_a_vec_c_vec_fun',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'fun_app$aa'(X0_'B_a_vec_c_vec',X0_'C_b_a_vec_c_vec_fun',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'interchange_columns$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X0_'A',X1_'A'] : % 0.78/1.22 ( iProver_Flat_'interchange_columns$'(X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X0_'A',X1_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X1_'B_c_vec',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$a'(X0_'B_c_vec',X1_'B_c_vec',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X2_'B_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$c'(X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X2_'B_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X0_'B_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec$d'(X0_'B_a_vec_a_vec',X0_'B_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$i' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_set',X1_'B_a_vec_set',X2_'B_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'times$i'(X0_'B_a_vec_set',X1_'B_a_vec_set',X2_'B_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_set'=iProver_Domain_'B_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'interchange_rows$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'C_b_a_vec_c_vec_fun',X0_'B_a_vec_c_vec',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'interchange_rows$c'(X0_'C_b_a_vec_c_vec_fun',X0_'B_a_vec_c_vec',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'C_b_a_vec_c_vec_fun'=iProver_Domain_'C_b_a_vec_c_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vector_scalar_mult$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec',X1_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vector_scalar_mult$g'(X0_'B_c_vec_a_vec',X0_'B_c_vec',X1_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X0_'C_b_c_vec_fun',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'fun_app$d'(X0_'B_c_vec',X0_'C_b_c_vec_fun',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_a_vec_fun',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'fun_app$f'(X0_'B_c_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_a_vec_fun',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X0_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'transpose$c'(X0_'B_a_vec_c_vec',X0_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$k' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X0_'B_a_vec_c_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$k'(X0_'B_a_vec_c_vec',X0_'B_a_vec_c_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$u' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_bool_fun',X0_'C_b_a_vec_bool_fun_fun',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'fun_app$u'(X0_'B_a_vec_bool_fun',X0_'C_b_a_vec_bool_fun_fun',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_bool_fun'=iProver_Domain_'B_a_vec_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'transpose$d'(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$h' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X0_'B_a_vec_c_vec',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$h'(X0_'B_a_vec_a_vec',X0_'B_a_vec_c_vec',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_times$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_set',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_times$a'(X0_'B_c_vec_a_vec_a_vec_set',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_plus$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set',X0_'B_c_vec',X1_'B_c_vec_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_plus$g'(X0_'B_c_vec_set',X0_'B_c_vec',X1_'B_c_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose_row$h' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X0_'B_a_vec_c_vec_a_vec',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'transpose_row$h'(X0_'B_a_vec_a_vec',X0_'B_a_vec_c_vec_a_vec',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'b$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A'] : % 0.78/1.22 ( iProver_Flat_'b$'(X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'map_matrix$i' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_c_vec',X0_'B_b_c_vec_fun',X0_'B_a_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'map_matrix$i'(X0_'B_c_vec_a_vec_c_vec',X0_'B_b_c_vec_fun',X0_'B_a_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_c_vec'=iProver_Domain_'B_c_vec_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$o' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X0_'B_c_vec_a_vec_b_c_vec_fun',X0_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'fun_app$o'(X0_'B_c_vec',X0_'B_c_vec_a_vec_b_c_vec_fun',X0_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X0_'A_b_c_vec_a_vec_fun',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'fun_app$e'(X0_'B_c_vec_a_vec',X0_'A_b_c_vec_a_vec_fun',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$e'(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'transpose$b'(X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'uub$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_bool_fun',X0_'B_set'] : % 0.78/1.22 ( iProver_Flat_'uub$'(X0_'B_bool_fun',X0_'B_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$l' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set_set',X1_'B_c_vec_set_set',X2_'B_c_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'times$l'(X0_'B_c_vec_set_set',X1_'B_c_vec_set_set',X2_'B_c_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set_set'=iProver_Domain_'B_c_vec_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'collect$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_set',X0_'B_bool_fun'] : % 0.78/1.22 ( iProver_Flat_'collect$b'(X0_'B_set',X0_'B_bool_fun') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'map_matrix$h' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X0_'B_b_fun',X1_'B_a_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'map_matrix$h'(X0_'B_a_vec_c_vec',X0_'B_b_fun',X1_'B_a_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_b_fun',X0_'B'] : % 0.78/1.22 ( iProver_Flat_'times$'(X0_'B_b_fun',X0_'B') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_b_fun'=iProver_Domain_'B_b_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'interchange_rows$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X0_'A',X1_'A'] : % 0.78/1.22 ( iProver_Flat_'interchange_rows$a'(X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X0_'A',X1_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_plus$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set_set',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_plus$c'(X0_'B_c_vec_a_vec_set_set',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set_set'=iProver_Domain_'B_c_vec_a_vec_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'interchange_rows$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X0_'C',X1_'C'] : % 0.78/1.22 ( iProver_Flat_'interchange_rows$b'(X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X0_'C',X1_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'a$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'a$'(X0_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_times$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set',X0_'B_c_vec',X1_'B_c_vec_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_times$g'(X0_'B_c_vec_set',X0_'B_c_vec',X1_'B_c_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_times$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_times$f'(X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$m' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X2_'B_c_vec_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'times$m'(X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X2_'B_c_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_b_fun',X0_'B'] : % 0.78/1.22 ( iProver_Flat_'plus$'(X0_'B_b_fun',X0_'B') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_b_fun'=iProver_Domain_'B_b_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_times$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set_set',X0_'B_c_vec_set',X1_'B_c_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_times$b'(X0_'B_c_vec_set_set',X0_'B_c_vec_set',X1_'B_c_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set_set'=iProver_Domain_'B_c_vec_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$f'(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vector_scalar_mult$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vector_scalar_mult$a'(X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$y' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_bool_fun',X0_'A_b_bool_fun_fun',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'fun_app$y'(X0_'B_bool_fun',X0_'A_b_bool_fun_fun',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_bool_fun'=iProver_Domain_'B_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'map_matrix$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'B_c_vec_b_c_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'map_matrix$e'(X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'B_c_vec_b_c_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'row_add_row$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X0_'B_a_vec_a_vec',X0_'A',X1_'A',X0_'B',X2_'A'] : % 0.78/1.22 ( iProver_Flat_'row_add_row$c'(X0_'B_a_vec',X0_'B_a_vec_a_vec',X0_'A',X1_'A',X0_'B',X2_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$x' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_bool_fun',X0_'A_b_c_vec_a_vec_bool_fun_fun',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'fun_app$x'(X0_'B_c_vec_a_vec_bool_fun',X0_'A_b_c_vec_a_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_bool_fun'=iProver_Domain_'B_c_vec_a_vec_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$i' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X0_'C_b_a_vec_fun',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'fun_app$i'(X0_'B_a_vec',X0_'C_b_a_vec_fun',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'a$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A'] : % 0.78/1.22 ( iProver_Flat_'a$a'(X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$n' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X0_'B_c_vec_b_c_vec_fun',X1_'B_c_vec'] : % 0.78/1.22 ( iProver_Flat_'fun_app$n'(X0_'B_c_vec',X0_'B_c_vec_b_c_vec_fun',X1_'B_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X2_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'times$a'(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X2_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$e'(X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_b_c_vec_fun',X0_'B_c_vec'] : % 0.78/1.22 ( iProver_Flat_'times$b'(X0_'B_c_vec_b_c_vec_fun',X0_'B_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_b_c_vec_fun'=iProver_Domain_'B_c_vec_b_c_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'C_b_a_vec_fun',X0_'B_a_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$g'(X0_'C_b_a_vec_fun',X0_'B_a_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'C_b_a_vec_fun'=iProver_Domain_'C_b_a_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_b_c_vec_fun',X0_'B_c_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$b'(X0_'B_c_vec_b_c_vec_fun',X0_'B_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_b_c_vec_fun'=iProver_Domain_'B_c_vec_b_c_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X2_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$a'(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X2_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X0_'B_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$b'(X0_'B_c_vec',X0_'B_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$p' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_set_set',X1_'B_set_set',X2_'B_set_set'] : % 0.78/1.22 ( iProver_Flat_'times$p'(X0_'B_set_set',X1_'B_set_set',X2_'B_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'map_matrix$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X0_'B_c_vec_b_fun',X0_'B_c_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'map_matrix$b'(X0_'B_a_vec_a_vec',X0_'B_c_vec_b_fun',X0_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X1_'B_a_vec_c_vec',X2_'B_a_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'times$g'(X0_'B_a_vec_c_vec',X1_'B_a_vec_c_vec',X2_'B_a_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$h' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X2_'B_c_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$h'(X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X2_'B_c_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'row_add_row$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X0_'B_a_vec_c_vec',X0_'C',X1_'C',X0_'B',X2_'C'] : % 0.78/1.22 ( iProver_Flat_'row_add_row$d'(X0_'B_a_vec',X0_'B_a_vec_c_vec',X0_'C',X1_'C',X0_'B',X2_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A_b_a_vec_fun',X0_'B_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$f'(X0_'A_b_a_vec_fun',X0_'B_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A_b_a_vec_fun'=iProver_Domain_'A_b_a_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'uua$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_bool_fun',X0_'B_c_vec_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'uua$'(X0_'B_c_vec_a_vec_bool_fun',X0_'B_c_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_bool_fun'=iProver_Domain_'B_c_vec_a_vec_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_plus$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_set',X0_'B_a_vec',X1_'B_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_plus$'(X0_'B_a_vec_set',X0_'B_a_vec',X1_'B_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_set'=iProver_Domain_'B_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'times$f'(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X2_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A_b_c_vec_fun',X0_'B_c_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$'(X0_'A_b_c_vec_fun',X0_'B_c_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A_b_c_vec_fun'=iProver_Domain_'A_b_c_vec_fun'_2 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A_b_c_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$c'(X0_'A_b_c_vec_a_vec_fun',X0_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A_b_c_vec_a_vec_fun'=iProver_Domain_'A_b_c_vec_a_vec_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_c_vec',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$f'(X0_'B_c_vec_a_vec',X0_'B_c_vec_c_vec',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'map_matrix$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_c_vec',X0_'B_b_fun',X1_'B_c_vec_c_vec'] : % 0.78/1.22 ( iProver_Flat_'map_matrix$f'(X0_'B_c_vec_c_vec',X0_'B_b_fun',X1_'B_c_vec_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$o' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_set',X1_'B_set',X2_'B_set'] : % 0.78/1.22 ( iProver_Flat_'times$o'(X0_'B_set',X1_'B_set',X2_'B_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'collect$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_bool_fun'] : % 0.78/1.22 ( iProver_Flat_'collect$a'(X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_bool_fun') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X1_'B_a_vec',X2_'B_a_vec'] : % 0.78/1.22 ( iProver_Flat_'times$d'(X0_'B_a_vec',X1_'B_a_vec',X2_'B_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$i' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X0_'B_a_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$i'(X0_'B_a_vec_c_vec',X0_'B_a_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'row_add_row$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_a_vec',X0_'A',X1_'A',X0_'B_c_vec',X2_'A'] : % 0.78/1.22 ( iProver_Flat_'row_add_row$e'(X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_a_vec',X0_'A',X1_'A',X0_'B_c_vec',X2_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$k' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set',X1_'B_c_vec_set',X2_'B_c_vec_set'] : % 0.78/1.22 ( iProver_Flat_'times$k'(X0_'B_c_vec_set',X1_'B_c_vec_set',X2_'B_c_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'A_b_fun',X0_'B_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$e'(X0_'A_b_fun',X0_'B_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'A_b_fun'=iProver_Domain_'A_b_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_plus$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_plus$f'(X0_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$k' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B',X0_'B_b_fun',X1_'B'] : % 0.78/1.22 ( iProver_Flat_'fun_app$k'(X0_'B',X0_'B_b_fun',X1_'B') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_plus$e' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_set',X0_'B',X1_'B_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_plus$e'(X0_'B_set',X0_'B',X1_'B_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'row_add$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'A',X1_'A',X0_'B'] : % 0.78/1.22 ( iProver_Flat_'row_add$'(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'A',X1_'A',X0_'B') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'transpose$a'(X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose_row$i' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_c_vec',X0_'B_a_vec_a_vec_c_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'transpose_row$i'(X0_'B_a_vec_c_vec',X0_'B_a_vec_a_vec_c_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'row_add_row$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X0_'B_c_vec_c_vec',X0_'C',X1_'C',X0_'B',X2_'C'] : % 0.78/1.22 ( iProver_Flat_'row_add_row$a'(X0_'B_c_vec',X0_'B_c_vec_c_vec',X0_'C',X1_'C',X0_'B',X2_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$p' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_b_c_vec_a_vec_fun',X0_'B_c_vec'] : % 0.78/1.22 ( iProver_Flat_'fun_app$p'(X0_'B_c_vec_a_vec',X0_'B_c_vec_b_c_vec_a_vec_fun',X0_'B_c_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_plus$a' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_a_vec_set',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_plus$a'(X0_'B_c_vec_a_vec_a_vec_set',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X0_'B'] : % 0.78/1.22 ( iProver_Flat_'vec$'(X0_'B_a_vec',X0_'B') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$h' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_c_vec',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$h'(X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_c_vec',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_times$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_set_set',X0_'B_set',X1_'B_set_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_times$d'(X0_'B_set_set',X0_'B_set',X1_'B_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_set_set'=iProver_Domain_'B_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B',X0_'C_b_fun',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'fun_app$c'(X0_'B',X0_'C_b_fun',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'interchange_columns$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X0_'C',X1_'C'] : % 0.78/1.22 ( iProver_Flat_'interchange_columns$b'(X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X0_'C',X1_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$i' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_set',X1_'B_a_vec_set',X2_'B_a_vec_set'] : % 0.78/1.22 ( iProver_Flat_'plus$i'(X0_'B_a_vec_set',X1_'B_a_vec_set',X2_'B_a_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_set'=iProver_Domain_'B_a_vec_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$l' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X0_'B_b_c_vec_fun',X0_'B'] : % 0.78/1.22 ( iProver_Flat_'fun_app$l'(X0_'B_c_vec',X0_'B_b_c_vec_fun',X0_'B') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X1_'B_a_vec',X2_'B_a_vec'] : % 0.78/1.22 ( iProver_Flat_'plus$d'(X0_'B_a_vec',X1_'B_a_vec',X2_'B_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$g'(X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$v' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_bool_fun',X0_'C_b_c_vec_bool_fun_fun',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'fun_app$v'(X0_'B_c_vec_bool_fun',X0_'C_b_c_vec_bool_fun_fun',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_bool_fun'=iProver_Domain_'B_c_vec_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'transpose_row$g' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X0_'B_a_vec_a_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'transpose_row$g'(X0_'B_a_vec_a_vec',X0_'B_a_vec_a_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vec_nth$i' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_c_vec',X0_'B_c_vec_c_vec_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'vec_nth$i'(X0_'B_c_vec_c_vec',X0_'B_c_vec_c_vec_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vector_scalar_mult$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec_a_vec',X0_'B_a_vec',X1_'B_a_vec_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vector_scalar_mult$'(X0_'B_a_vec_a_vec',X0_'B_a_vec',X1_'B_a_vec_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$c' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X0_'B_c_vec',X0_'C'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$c'(X0_'B_a_vec',X0_'B_c_vec',X0_'C') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'uu$' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_bool_fun',X0_'B_c_vec_set'] : % 0.78/1.22 ( iProver_Flat_'uu$'(X0_'B_c_vec_bool_fun',X0_'B_c_vec_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_bool_fun'=iProver_Domain_'B_c_vec_bool_fun'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'times$n' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set',X2_'B_c_vec_a_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'times$n'(X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set',X2_'B_c_vec_a_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_a_vec_set_set'=iProver_Domain_'B_c_vec_a_vec_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'columnvector_row$d' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X1_'B_a_vec',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'columnvector_row$d'(X0_'B_a_vec',X1_'B_a_vec',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'elt_set_plus$b' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_set_set',X0_'B_c_vec_set',X1_'B_c_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'elt_set_plus$b'(X0_'B_c_vec_set_set',X0_'B_c_vec_set',X1_'B_c_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec_set_set'=iProver_Domain_'B_c_vec_set_set'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'fun_app$j' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec',X0_'A_b_c_vec_fun',X0_'A'] : % 0.78/1.22 ( iProver_Flat_'fun_app$j'(X0_'B_c_vec',X0_'A_b_c_vec_fun',X0_'A') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'vector_scalar_mult$f' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_a_vec',X0_'B',X1_'B_a_vec'] : % 0.78/1.22 ( iProver_Flat_'vector_scalar_mult$f'(X0_'B_a_vec',X0_'B',X1_'B_a_vec') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.22 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.22 ) % 0.78/1.22 % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ) % 0.78/1.22 ). % 0.78/1.22 % 0.78/1.22 %------ Positive definition of iProver_Flat_'plus$n' % 0.78/1.22 fof(lit_def,axiom, % 0.78/1.22 (! [X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set',X2_'B_c_vec_a_vec_set_set'] : % 0.78/1.22 ( iProver_Flat_'plus$n'(X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set',X2_'B_c_vec_a_vec_set_set') <=> % 0.78/1.22 ( % 0.78/1.22 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_set_set'=iProver_Domain_'B_c_vec_a_vec_set_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_'times$h' % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X2_'B_c_vec_c_vec'] : % 0.78/1.23 ( iProver_Flat_'times$h'(X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec',X2_'B_c_vec_c_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_'fun_app$h' % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X0_'A_b_a_vec_fun',X0_'A'] : % 0.78/1.23 ( iProver_Flat_'fun_app$h'(X0_'B_a_vec',X0_'A_b_a_vec_fun',X0_'A') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK0 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X0_'A_b_a_vec_bool_fun_fun',X0_'A'] : % 0.78/1.23 ( iProver_Flat_sK0(X0_'B_a_vec',X0_'A_b_a_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK1 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_a_vec_bool_fun_fun',X0_'B_a_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK1(X0_'A',X0_'A_b_a_vec_bool_fun_fun',X0_'B_a_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK2 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec_a_vec',X0_'A_b_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK2(X0_'B_a_vec_a_vec',X0_'A_b_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec_a_vec'=iProver_Domain_'B_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK3 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK3(X0_'A',X0_'A_b_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK4 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun',X0_'A'] : % 0.78/1.23 ( iProver_Flat_sK4(X0_'B_c_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK5 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun',X0_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK5(X0_'A',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun',X0_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK6 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK6(X0_'B_c_vec_a_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK7 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK7(X0_'A',X0_'A_b_c_vec_a_vec_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK8 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X0_'C_b_a_vec_bool_fun_fun',X0_'C'] : % 0.78/1.23 ( iProver_Flat_sK8(X0_'B_a_vec',X0_'C_b_a_vec_bool_fun_fun',X0_'C') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK9 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'C_b_a_vec_bool_fun_fun',X0_'B_a_vec_c_vec'] : % 0.78/1.23 ( iProver_Flat_sK9(X0_'C',X0_'C_b_a_vec_bool_fun_fun',X0_'B_a_vec_c_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK10 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec_c_vec',X0_'C_b_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK10(X0_'B_a_vec_c_vec',X0_'C_b_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec_c_vec'=iProver_Domain_'B_a_vec_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK11 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'C_b_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK11(X0_'C',X0_'C_b_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK12 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X0_'C_b_c_vec_bool_fun_fun',X0_'C'] : % 0.78/1.23 ( iProver_Flat_sK12(X0_'B_c_vec',X0_'C_b_c_vec_bool_fun_fun',X0_'C') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK13 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'C_b_c_vec_bool_fun_fun',X0_'B_c_vec_c_vec'] : % 0.78/1.23 ( iProver_Flat_sK13(X0_'C',X0_'C_b_c_vec_bool_fun_fun',X0_'B_c_vec_c_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK14 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_c_vec',X0_'C_b_c_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK14(X0_'B_c_vec_c_vec',X0_'C_b_c_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_c_vec'=iProver_Domain_'B_c_vec_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK15 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'C_b_c_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK15(X0_'C',X0_'C_b_c_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK16 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X0_'C_b_bool_fun_fun',X0_'C'] : % 0.78/1.23 ( iProver_Flat_sK16(X0_'B',X0_'C_b_bool_fun_fun',X0_'C') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK17 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'C_b_bool_fun_fun',X0_'B_c_vec'] : % 0.78/1.23 ( iProver_Flat_sK17(X0_'C',X0_'C_b_bool_fun_fun',X0_'B_c_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK18 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X0_'C_b_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK18(X0_'B_c_vec',X0_'C_b_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK19 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'C_b_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK19(X0_'C',X0_'C_b_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK20 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X0_'A_b_c_vec_a_vec_bool_fun_fun',X0_'A'] : % 0.78/1.23 ( iProver_Flat_sK20(X0_'B_c_vec_a_vec',X0_'A_b_c_vec_a_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK21 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_c_vec_a_vec_bool_fun_fun',X0_'B_c_vec_a_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK21(X0_'A',X0_'A_b_c_vec_a_vec_bool_fun_fun',X0_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK22 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK22(X0_'B_c_vec_a_vec_a_vec',X0_'A_b_c_vec_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK23 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_c_vec_a_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK23(X0_'A',X0_'A_b_c_vec_a_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK24 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X0_'A_b_bool_fun_fun',X0_'A'] : % 0.78/1.23 ( iProver_Flat_sK24(X0_'B',X0_'A_b_bool_fun_fun',X0_'A') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK25 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_bool_fun_fun',X0_'B_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK25(X0_'A',X0_'A_b_bool_fun_fun',X0_'B_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK26 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X0_'A_b_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK26(X0_'B_a_vec',X0_'A_b_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK27 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK27(X0_'A',X0_'A_b_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK28 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X0_'A_b_c_vec_bool_fun_fun',X0_'A'] : % 0.78/1.23 ( iProver_Flat_sK28(X0_'B_c_vec',X0_'A_b_c_vec_bool_fun_fun',X0_'A') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK29 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_c_vec_bool_fun_fun',X0_'B_c_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK29(X0_'A',X0_'A_b_c_vec_bool_fun_fun',X0_'B_c_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK30 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X0_'A_b_c_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK30(X0_'B_c_vec_a_vec',X0_'A_b_c_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK31 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'A_b_c_vec_bool_fun_fun'] : % 0.78/1.23 ( iProver_Flat_sK31(X0_'A',X0_'A_b_c_vec_bool_fun_fun') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK32 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK32(X0_'A',X0_'B_a_vec_a_vec',X1_'B_a_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK33 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK33(X0_'A',X0_'B_c_vec_a_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK34 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'B_a_vec_c_vec',X1_'B_a_vec_c_vec'] : % 0.78/1.23 ( iProver_Flat_sK34(X0_'C',X0_'B_a_vec_c_vec',X1_'B_a_vec_c_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK35 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec'] : % 0.78/1.23 ( iProver_Flat_sK35(X0_'C',X0_'B_c_vec_c_vec',X1_'B_c_vec_c_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK36 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'C',X0_'B_c_vec',X1_'B_c_vec'] : % 0.78/1.23 ( iProver_Flat_sK36(X0_'C',X0_'B_c_vec',X1_'B_c_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'C'=iProver_Domain_'C'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK37 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK37(X0_'A',X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK38 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'B_a_vec',X1_'B_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK38(X0_'A',X0_'B_a_vec',X1_'B_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK39 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'A',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec'] : % 0.78/1.23 ( iProver_Flat_sK39(X0_'A',X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'A'=iProver_Domain_'A'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK40 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK40(X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK41 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK41(X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK42 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK42(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK43 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK43(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK44 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK44(X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK45 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK45(X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK46 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK46(X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK47 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK47(X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK48 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set'] : % 0.78/1.23 ( iProver_Flat_sK48(X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK49 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set'] : % 0.78/1.23 ( iProver_Flat_sK49(X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK50 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X1_'B',X0_'B_set',X1_'B_set'] : % 0.78/1.23 ( iProver_Flat_sK50(X0_'B',X1_'B',X0_'B_set',X1_'B_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK51 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X1_'B',X0_'B_set',X1_'B_set'] : % 0.78/1.23 ( iProver_Flat_sK51(X0_'B',X1_'B',X0_'B_set',X1_'B_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK52 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK52(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK53 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK53(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK54 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK54(X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK55 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK55(X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK56 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK56(X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK57 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK57(X0_'B_a_vec',X1_'B_a_vec',X0_'B_a_vec_set',X1_'B_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_a_vec'=iProver_Domain_'B_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK58 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK58(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK59 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK59(X0_'B_c_vec_a_vec_a_vec',X1_'B_c_vec_a_vec_a_vec',X0_'B_c_vec_a_vec_a_vec_set',X1_'B_c_vec_a_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK60 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK60(X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK61 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK61(X0_'B_c_vec_set',X1_'B_c_vec_set',X0_'B_c_vec_set_set',X1_'B_c_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_set'=iProver_Domain_'B_c_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK62 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK62(X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK63 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set'] : % 0.78/1.23 ( iProver_Flat_sK63(X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set',X0_'B_c_vec_a_vec_set_set',X1_'B_c_vec_a_vec_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec_set'=iProver_Domain_'B_c_vec_a_vec_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK64 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set'] : % 0.78/1.23 ( iProver_Flat_sK64(X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK65 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set'] : % 0.78/1.23 ( iProver_Flat_sK65(X0_'B_set',X1_'B_set',X0_'B_set_set',X1_'B_set_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_set'=iProver_Domain_'B_set'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK66 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X1_'B',X0_'B_set',X1_'B_set'] : % 0.78/1.23 ( iProver_Flat_sK66(X0_'B',X1_'B',X0_'B_set',X1_'B_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK67 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X1_'B',X0_'B_set',X1_'B_set'] : % 0.78/1.23 ( iProver_Flat_sK67(X0_'B',X1_'B',X0_'B_set',X1_'B_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK68 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK68(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK69 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK69(X0_'B_c_vec_a_vec',X1_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK70 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK70(X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK71 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK71(X0_'B_c_vec',X1_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK72 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK72(X0_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK73 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK73(X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK74 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X0_'B_set',X1_'B_set'] : % 0.78/1.23 ( iProver_Flat_sK74(X0_'B',X0_'B_set',X1_'B_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK75 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK75(X0_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK76 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK76(X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK77 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X0_'B_set',X1_'B_set'] : % 0.78/1.23 ( iProver_Flat_sK77(X0_'B',X0_'B_set',X1_'B_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK78 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK78(X0_'B_c_vec',X0_'B_c_vec_set',X1_'B_c_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec'=iProver_Domain_'B_c_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK79 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set'] : % 0.78/1.23 ( iProver_Flat_sK79(X0_'B_c_vec_a_vec',X0_'B_c_vec_a_vec_set',X1_'B_c_vec_a_vec_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B_c_vec_a_vec'=iProver_Domain_'B_c_vec_a_vec'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % 0.78/1.23 %------ Positive definition of iProver_Flat_sK80 % 0.78/1.23 fof(lit_def,axiom, % 0.78/1.23 (! [X0_'B',X0_'B_set',X1_'B_set'] : % 0.78/1.23 ( iProver_Flat_sK80(X0_'B',X0_'B_set',X1_'B_set') <=> % 0.78/1.23 ( % 0.78/1.23 ( % 0.78/1.23 ( X0_'B'=iProver_Domain_'B'_1 ) % 0.78/1.23 ) % 0.78/1.23 % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ) % 0.78/1.23 ). % 0.78/1.23 % SZS output end Model for theBenchmark.p % 0.78/1.23 %------------------------------------------------------------------------------