0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_iprover %s %d SAT 0.11/0.33 % Computer : n009.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Wed Jul 30 06:46:19 EDT 2025 0.11/0.33 % CPUTime : 0.19/0.51 Running model finding 0.19/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 120 410.06/52.21 % SZS status Started for theBenchmark.p 410.06/52.21 % SZS status Satisfiable for theBenchmark.p 410.06/52.21 410.06/52.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------% 410.06/52.21 410.06/52.21 ------ iProver source info 410.06/52.21 410.06/52.21 git: date: 2024-06-12 09:56:46 +0000 410.06/52.21 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49 410.06/52.21 git: non_committed_changes: false 410.06/52.21 410.06/52.21 ------ Parsing... 410.06/52.21 ------ Clausification by vclausify_rel & Parsing by iProver... 410.06/52.21 ------ Proving... 410.06/52.21 ------ Problem Properties 410.06/52.21 410.06/52.21 410.06/52.21 clauses 543 410.06/52.21 conjectures 7 410.06/52.21 EPR 30 410.06/52.21 Horn 291 410.06/52.21 unary 4 410.06/52.21 binary 137 410.06/52.21 lits 4297 410.06/52.21 lits eq 0 410.06/52.21 fd_pure 0 410.06/52.21 fd_pseudo 0 410.06/52.21 fd_cond 0 410.06/52.21 fd_pseudo_cond 0 410.06/52.21 AC symbols 0 410.06/52.21 410.06/52.21 ------ Input Options Time Limit: Unbounded 410.06/52.21 410.06/52.21 410.06/52.21 ------ Finite Models: 410.06/52.21 410.06/52.21 ------ lit_activity_flag true 410.06/52.21 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 1 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 ------ 410.06/52.21 Current options: 410.06/52.21 ------ 410.06/52.21 410.06/52.21 ------ Input Options 410.06/52.21 410.06/52.21 --out_options all 410.06/52.21 --tptp_safe_out true 410.06/52.21 --problem_path "" 410.06/52.21 --include_path "" 410.06/52.21 --clausifier res/vclausify_rel 410.06/52.21 --clausifier_options --mode tclausify --show_fool true -t 124.99 -updr off 410.06/52.21 --stdin false 410.06/52.21 --proof_out true 410.06/52.21 --proof_dot_file "" 410.06/52.21 --proof_reduce_dot [] 410.06/52.21 --suppress_sat_res false 410.06/52.21 --suppress_unsat_res true 410.06/52.21 --stats_out none 410.06/52.21 --stats_mem false 410.06/52.21 --theory_stats_out false 410.06/52.21 410.06/52.21 ------ General Options 410.06/52.21 410.06/52.21 --fof false 410.06/52.21 --time_out_real 124.99 410.06/52.21 --time_out_virtual -1. 410.06/52.21 --rnd_seed 13 410.06/52.21 --symbol_type_check false 410.06/52.21 --clausify_out false 410.06/52.21 --sig_cnt_out false 410.06/52.21 --trig_cnt_out false 410.06/52.21 --trig_cnt_out_tolerance 1. 410.06/52.21 --trig_cnt_out_sk_spl false 410.06/52.21 --abstr_cl_out false 410.06/52.21 410.06/52.21 ------ Interactive Mode 410.06/52.21 410.06/52.21 --interactive_mode false 410.06/52.21 --external_ip_address "" 410.06/52.21 --external_port 0 410.06/52.21 410.06/52.21 ------ Global Options 410.06/52.21 410.06/52.21 --schedule none 410.06/52.21 --add_important_lit false 410.06/52.21 --prop_solver_per_cl 500 410.06/52.21 --subs_bck_mult 8 410.06/52.21 --min_unsat_core false 410.06/52.21 --soft_assumptions false 410.06/52.21 --soft_lemma_size 3 410.06/52.21 --prop_impl_unit_size 0 410.06/52.21 --prop_impl_unit [] 410.06/52.21 --share_sel_clauses true 410.06/52.21 --reset_solvers false 410.06/52.21 --bc_imp_inh [conj_cone] 410.06/52.21 --conj_cone_tolerance 3. 410.06/52.21 --extra_neg_conj none 410.06/52.21 --large_theory_mode true 410.06/52.21 --prolific_symb_bound 200 410.06/52.21 --lt_threshold 2000 410.06/52.21 --clause_weak_htbl true 410.06/52.21 --gc_record_bc_elim false 410.06/52.21 410.06/52.21 ------ Preprocessing Options 410.06/52.21 410.06/52.21 --preprocessing_flag false 410.06/52.21 --time_out_prep_mult 0.1 410.06/52.21 --splitting_mode input 410.06/52.21 --splitting_grd true 410.06/52.21 --splitting_cvd false 410.06/52.21 --splitting_cvd_svl false 410.06/52.21 --splitting_nvd 32 410.06/52.21 --sub_typing false 410.06/52.21 --prep_eq_flat_conj true 410.06/52.21 --prep_eq_flat_all_gr false 410.06/52.21 --prep_gs_sim true 410.06/52.21 --prep_unflatten true 410.06/52.21 --prep_res_sim true 410.06/52.21 --prep_sup_sim_all true 410.06/52.21 --prep_sup_sim_sup false 410.06/52.21 --prep_upred true 410.06/52.21 --prep_well_definedness true 410.06/52.21 --prep_sem_filter exhaustive 410.06/52.21 --prep_sem_filter_out false 410.06/52.21 --pred_elim true 410.06/52.21 --res_sim_input true 410.06/52.21 --eq_ax_congr_red true 410.06/52.21 --pure_diseq_elim true 410.06/52.21 --brand_transform false 410.06/52.21 --non_eq_to_eq false 410.06/52.21 --prep_def_merge true 410.06/52.21 --prep_def_merge_prop_impl false 410.06/52.21 --prep_def_merge_mbd true 410.06/52.21 --prep_def_merge_tr_red false 410.06/52.21 --prep_def_merge_tr_cl false 410.06/52.21 --smt_preprocessing false 410.06/52.21 --smt_ac_axioms fast 410.06/52.21 --preprocessed_out false 410.06/52.21 --preprocessed_stats false 410.06/52.21 410.06/52.21 ------ Abstraction refinement Options 410.06/52.21 410.06/52.21 --abstr_ref [] 410.06/52.21 --abstr_ref_prep false 410.06/52.21 --abstr_ref_until_sat false 410.06/52.21 --abstr_ref_sig_restrict funpre 410.06/52.21 --abstr_ref_af_restrict_to_split_sk false 410.06/52.21 --abstr_ref_under [] 410.06/52.21 410.06/52.21 ------ SAT Options 410.06/52.21 410.06/52.21 --sat_mode true 410.06/52.21 --sat_fm_restart_options "" 410.06/52.21 --sat_gr_def false 410.06/52.21 --sat_epr_types false 410.06/52.21 --sat_non_cyclic_types true 410.06/52.21 --sat_finite_models true 410.06/52.21 --sat_fm_lemmas false 410.06/52.21 --sat_fm_prep false 410.06/52.21 --sat_fm_uc_incr true 410.06/52.21 --sat_out_model pos 410.06/52.21 --sat_out_clauses false 410.06/52.21 410.06/52.21 ------ QBF Options 410.06/52.21 410.06/52.21 --qbf_mode false 410.06/52.21 --qbf_elim_univ false 410.06/52.21 --qbf_dom_inst none 410.06/52.21 --qbf_dom_pre_inst false 410.06/52.21 --qbf_sk_in false 410.06/52.21 --qbf_pred_elim true 410.06/52.21 --qbf_split 512 410.06/52.21 410.06/52.21 ------ BMC1 Options 410.06/52.21 410.06/52.21 --bmc1_incremental false 410.06/52.21 --bmc1_axioms reachable_all 410.06/52.21 --bmc1_min_bound 0 410.06/52.21 --bmc1_max_bound -1 410.06/52.21 --bmc1_max_bound_default -1 410.06/52.21 --bmc1_symbol_reachability true 410.06/52.21 --bmc1_property_lemmas false 410.06/52.21 --bmc1_k_induction false 410.06/52.21 --bmc1_non_equiv_states false 410.06/52.21 --bmc1_deadlock false 410.06/52.21 --bmc1_ucm false 410.06/52.21 --bmc1_add_unsat_core none 410.06/52.21 --bmc1_unsat_core_children false 410.06/52.21 --bmc1_unsat_core_extrapolate_axioms false 410.06/52.21 --bmc1_out_stat full 410.06/52.21 --bmc1_ground_init false 410.06/52.21 --bmc1_pre_inst_next_state false 410.06/52.21 --bmc1_pre_inst_state false 410.06/52.21 --bmc1_pre_inst_reach_state false 410.06/52.21 --bmc1_out_unsat_core false 410.06/52.21 --bmc1_aig_witness_out false 410.06/52.21 --bmc1_verbose false 410.06/52.21 --bmc1_dump_clauses_tptp false 410.06/52.21 --bmc1_dump_unsat_core_tptp false 410.06/52.21 --bmc1_dump_file - 410.06/52.21 --bmc1_ucm_expand_uc_limit 128 410.06/52.21 --bmc1_ucm_n_expand_iterations 6 410.06/52.21 --bmc1_ucm_extend_mode 1 410.06/52.21 --bmc1_ucm_init_mode 2 410.06/52.21 --bmc1_ucm_cone_mode none 410.06/52.21 --bmc1_ucm_reduced_relation_type 0 410.06/52.21 --bmc1_ucm_relax_model 4 410.06/52.21 --bmc1_ucm_full_tr_after_sat true 410.06/52.21 --bmc1_ucm_expand_neg_assumptions false 410.06/52.21 --bmc1_ucm_layered_model none 410.06/52.21 --bmc1_ucm_max_lemma_size 10 410.06/52.21 410.06/52.21 ------ AIG Options 410.06/52.21 410.06/52.21 --aig_mode false 410.06/52.21 410.06/52.21 ------ Instantiation Options 410.06/52.21 410.06/52.21 --instantiation_flag true 410.06/52.21 --inst_sos_flag false 410.06/52.21 --inst_sos_phase true 410.06/52.21 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 410.06/52.21 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 410.06/52.21 --inst_lit_sel_side num_symb 410.06/52.21 --inst_solver_per_active 1400 410.06/52.21 --inst_solver_calls_frac 1. 410.06/52.21 --inst_to_smt_solver true 410.06/52.21 --inst_passive_queue_type priority_queues 410.06/52.21 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 410.06/52.21 --inst_passive_queues_freq [25;2] 410.06/52.21 --inst_dismatching true 410.06/52.21 --inst_eager_unprocessed_to_passive true 410.06/52.21 --inst_unprocessed_bound 1000 410.06/52.21 --inst_prop_sim_given true 410.06/52.21 --inst_prop_sim_new false 410.06/52.21 --inst_subs_new false 410.06/52.21 --inst_eq_res_simp false 410.06/52.21 --inst_subs_given false 410.06/52.21 --inst_orphan_elimination true 410.06/52.21 --inst_learning_loop_flag true 410.06/52.21 --inst_learning_start 3000 410.06/52.21 --inst_learning_factor 2 410.06/52.21 --inst_start_prop_sim_after_learn 3 410.06/52.21 --inst_sel_renew solver 410.06/52.21 --inst_lit_activity_flag true 410.06/52.21 --inst_restr_to_given false 410.06/52.21 --inst_activity_threshold 500 410.06/52.21 410.06/52.21 ------ Resolution Options 410.06/52.21 410.06/52.21 --resolution_flag false 410.06/52.21 --res_lit_sel adaptive 410.06/52.21 --res_lit_sel_side none 410.06/52.21 --res_ordering kbo 410.06/52.21 --res_to_prop_solver active 410.06/52.21 --res_prop_simpl_new false 410.06/52.21 --res_prop_simpl_given true 410.06/52.21 --res_to_smt_solver true 410.06/52.21 --res_passive_queue_type priority_queues 410.06/52.21 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 410.06/52.21 --res_passive_queues_freq [15;5] 410.06/52.21 --res_forward_subs full 410.06/52.21 --res_backward_subs full 410.06/52.21 --res_forward_subs_resolution true 410.06/52.21 --res_backward_subs_resolution true 410.06/52.21 --res_orphan_elimination true 410.06/52.21 --res_time_limit 300. 410.06/52.21 410.06/52.21 ------ Superposition Options 410.06/52.21 410.06/52.21 --superposition_flag false 410.06/52.21 --sup_passive_queue_type priority_queues 410.06/52.21 --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]] 410.06/52.21 --sup_passive_queues_freq [8;1;4;4] 410.06/52.21 --demod_completeness_check fast 410.06/52.21 --demod_use_ground true 410.06/52.21 --sup_unprocessed_bound 0 410.06/52.21 --sup_to_prop_solver passive 410.06/52.21 --sup_prop_simpl_new true 410.06/52.21 --sup_prop_simpl_given true 410.06/52.21 --sup_fun_splitting false 410.06/52.21 --sup_iter_deepening 2 410.06/52.21 --sup_restarts_mult 12 410.06/52.21 --sup_score sim_d_gen 410.06/52.21 --sup_share_score_frac 0.2 410.06/52.21 --sup_share_max_num_cl 500 410.06/52.21 --sup_ordering kbo 410.06/52.21 --sup_symb_ordering invfreq 410.06/52.21 --sup_term_weight default 410.06/52.21 410.06/52.21 ------ Superposition Simplification Setup 410.06/52.21 410.06/52.21 --sup_indices_passive [LightNormIndex;FwDemodIndex] 410.06/52.21 --sup_full_triv [SMTSimplify;PropSubs] 410.06/52.21 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 410.06/52.21 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 410.06/52.21 --sup_immed_triv [] 410.06/52.21 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 410.06/52.21 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 410.06/52.21 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 410.06/52.21 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 410.06/52.21 --sup_input_triv [Unflattening;SMTSimplify] 410.06/52.21 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 410.06/52.21 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 410.06/52.21 --sup_full_fixpoint true 410.06/52.21 --sup_main_fixpoint true 410.06/52.21 --sup_immed_fixpoint false 410.06/52.21 --sup_input_fixpoint true 410.06/52.21 --sup_cache_sim none 410.06/52.21 --sup_smt_interval 500 410.06/52.21 --sup_bw_gjoin_interval 0 410.06/52.21 410.06/52.21 ------ Combination Options 410.06/52.21 410.06/52.21 --comb_mode clause_based 410.06/52.21 --comb_inst_mult 5 410.06/52.21 --comb_res_mult 1 410.06/52.21 --comb_sup_mult 8 410.06/52.21 --comb_sup_deep_mult 2 410.06/52.21 410.06/52.21 ------ Debug Options 410.06/52.21 410.06/52.21 --dbg_backtrace false 410.06/52.21 --dbg_dump_prop_clauses false 410.06/52.21 --dbg_dump_prop_clauses_file - 410.06/52.21 --dbg_out_stat false 410.06/52.21 --dbg_just_parse false 410.06/52.21 410.06/52.21 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 2 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 ------ Trying domains of size >= : 3 410.06/52.21 410.06/52.21 410.06/52.21 ------ Proving... 410.06/52.21 410.06/52.21 410.06/52.21 % SZS status Satisfiable for theBenchmark.p 410.06/52.21 410.06/52.21 ------ Building Model...Done 410.06/52.21 410.06/52.21 %------ The model is defined over ground terms (initial term algebra). 410.06/52.21 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 410.06/52.21 %------ where \phi is a formula over the term algebra. 410.06/52.21 %------ If we have equality in the problem then it is also defined as a predicate above, 410.06/52.21 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 410.06/52.21 %------ See help for --sat_out_model for different model outputs. 410.06/52.21 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 410.06/52.21 %------ where the first argument stands for the sort ($i in the unsorted case) 410.06/52.21 % SZS output start Model for theBenchmark.p 410.06/52.21 410.06/52.21 %------ Positive definition of '$ki_accessible' 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X1_13] : 410.06/52.21 ( '$ki_accessible'(X0_13,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_3 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_3 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of customqmltpeq 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1] : 410.06/52.21 ( customqmltpeq(X0_13,X0,X1) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X0_13!=iProver_Domain_'ki_world'_3 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X0_13!=iProver_Domain_'ki_world'_3 | X1!=iProver_Domain_i_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 ) 410.06/52.21 & 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X1=X0 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X1=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X0_13!=iProver_Domain_'ki_world'_3 ) 410.06/52.21 & 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X1=iProver_Domain_i_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of true 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13] : 410.06/52.21 ( true(X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of geq 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1] : 410.06/52.21 ( geq(X0_13,X0,X1) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of lt 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1] : 410.06/52.21 ( lt(X0_13,X0,X1) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of leq 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1] : 410.06/52.21 ( leq(X0_13,X0,X1) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0!=iProver_Domain_i_1 | X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X1=X0 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of gt 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1] : 410.06/52.21 ( gt(X0_13,X0,X1) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0!=X0 | X0_13!=iProver_Domain_'ki_world'_1 | X1!=X0 ) 410.06/52.21 & 410.06/52.21 ( X0!=X1 | X0_13!=iProver_Domain_'ki_world'_1 | X1!=X1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X0_13!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of '$ki_exists_in_world_$i' 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0] : 410.06/52.21 ( '$ki_exists_in_world_$i'(X0_13,X0) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP0 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP0(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP1 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP1(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP2 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP2(X0,X1,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP3 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP3(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP4 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP4(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP5 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP5(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP6 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP6(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP7 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X4,X5,X6,X0_13] : 410.06/52.21 ( sP7(X0,X1,X2,X3,X4,X5,X6,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP8 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP8(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP9 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP9(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP10 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X4,X0_13] : 410.06/52.21 ( sP10(X0,X1,X2,X3,X4,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP11 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( sP11(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP12 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X0_13] : 410.06/52.21 ( sP12(X0,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP13 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP13(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP14 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP14(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP15 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X0_13] : 410.06/52.21 ( sP15(X0,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP16 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP16(X0,X1,X2,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP17 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP17(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP18 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP18(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP19 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP19(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP20 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP20(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP21 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP21(X0,X1,X2,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP22 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP22(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP23 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP23(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP24 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP24(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP25 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X0_13] : 410.06/52.21 ( sP25(X0,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP26 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP26(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP27 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP27(X0,X1,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP28 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP28(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP29 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP29(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP30 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X0_13] : 410.06/52.21 ( sP30(X0,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP31 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP31(X0,X1,X2,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP32 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP32(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP33 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X0_13] : 410.06/52.21 ( sP33(X0,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP34 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP34(X0,X1,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP35 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13] : 410.06/52.21 ( sP35(X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP36 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13] : 410.06/52.21 ( sP36(X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP37 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X0_13] : 410.06/52.21 ( sP37(X0,X1,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP38 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP38(X0,X1,X2,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP39 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X0_13] : 410.06/52.21 ( sP39(X0,X0_13) <=> 410.06/52.21 $false 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of sP40 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( sP40(X0,X1,X2,X0_13) <=> 410.06/52.21 $true 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_'$ki_local_world' 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13] : 410.06/52.21 ( iProver_Flat_'$ki_local_world'(X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK41 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK41(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK42 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK42(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK43 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK43(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK44 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK44(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK45 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK45(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK46 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK46(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK47 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK47(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK48 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK48(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK49 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK49(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK50 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK50(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK51 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK51(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK52 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK52(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK53 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK53(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK54 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK54(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK55 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK55(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK56 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK56(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK57 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK57(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK58 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK58(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK59 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK59(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK60 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK60(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK61 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK61(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK62 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK62(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK63 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK63(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK64 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK64(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK65 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK65(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK66 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK66(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK67 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK67(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK68 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK68(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK69 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK69(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK70 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK70(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK71 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK71(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK72 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK72(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK73 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK73(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK74 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK74(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK75 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK75(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK76 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK76(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK77 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK77(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK78 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK78(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK79 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK79(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK80 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK80(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK81 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK81(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK82 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK82(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK83 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK83(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK84 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X3,X1_13] : 410.06/52.21 ( iProver_Flat_sK84(X0_13,X0,X1,X2,X3,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK85 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X4,X0_13] : 410.06/52.21 ( iProver_Flat_sK85(X0,X1,X2,X3,X4,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK86 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X3,X1_13] : 410.06/52.21 ( iProver_Flat_sK86(X0_13,X0,X1,X2,X3,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK87 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X4,X5,X0_13] : 410.06/52.21 ( iProver_Flat_sK87(X0,X1,X2,X3,X4,X5,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK88 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X3,X4,X1_13] : 410.06/52.21 ( iProver_Flat_sK88(X0_13,X0,X1,X2,X3,X4,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK89 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X3,X4,X1_13] : 410.06/52.21 ( iProver_Flat_sK89(X0_13,X0,X1,X2,X3,X4,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK90 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK90(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK91 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK91(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK92 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK92(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK93 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK93(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK94 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK94(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK95 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK95(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK96 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK96(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK97 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK97(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK98 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK98(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK99 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK99(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK100 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK100(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK101 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK101(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK102 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK102(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK103 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK103(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK104 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK104(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK105 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK105(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK106 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK106(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK107 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK107(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK108 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK108(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK109 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK109(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK110 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK110(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK111 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK111(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK112 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK112(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK113 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK113(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK114 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK114(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK115 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK115(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK116 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK116(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK117 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK117(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK118 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK118(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK119 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK119(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK120 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK120(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK121 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK121(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK122 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK122(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK123 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK123(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK124 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK124(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK125 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK125(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK126 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK126(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK127 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK127(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK128 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK128(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK129 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK129(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK130 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK130(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK131 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK131(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK132 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK132(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK133 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK133(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=X0 | X1!=X0 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=X0 | X1!=X0 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1=X0 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X1=X0 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK134 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK134(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK135 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK135(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK136 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK136(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK137 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK137(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK138 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK138(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK139 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK139(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK140 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK140(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK141 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK141(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK142 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK142(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK143 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK143(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK144 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X3,X0_13] : 410.06/52.21 ( iProver_Flat_sK144(X0,X1,X2,X3,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK145 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK145(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK146 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.21 ( iProver_Flat_sK146(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK147 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK147(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK148 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0,X1,X2,X0_13] : 410.06/52.21 ( iProver_Flat_sK148(X0,X1,X2,X0_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK149 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK149(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK150 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X1_13] : 410.06/52.21 ( iProver_Flat_sK150(X0_13,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_3 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK151 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK151(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK152 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK152(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK153 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK153(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK154 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK154(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK155 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK155(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK156 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1_13] : 410.06/52.21 ( iProver_Flat_sK156(X0_13,X0,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK157 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK157(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK158 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK158(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK159 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK159(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK160 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK160(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK161 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK161(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X1!=iProver_Domain_i_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK162 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK162(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 | 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK163 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK163(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK164 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK164(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK165 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK165(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 ) 410.06/52.21 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ) 410.06/52.21 ). 410.06/52.21 410.06/52.21 %------ Positive definition of iProver_Flat_sK166 410.06/52.21 fof(lit_def,axiom, 410.06/52.21 (! [X0_13,X0,X1,X1_13] : 410.06/52.21 ( iProver_Flat_sK166(X0_13,X0,X1,X1_13) <=> 410.06/52.21 ( 410.06/52.21 ( 410.06/52.21 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=X0 | X1!=X0 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.21 & 410.06/52.21 ( X0!=X0 | X1!=X0 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_2 ) 410.06/52.21 & 410.06/52.21 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1=X0 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 & X1=X0 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK167 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK167(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK168 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK168(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK169 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK169(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK170 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK170(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK171 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK171(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK172 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK172(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK173 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK173(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK174 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK174(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK175 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK175(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK176 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3,X0_13] : 410.06/52.22 ( iProver_Flat_sK176(X0,X1,X2,X3,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK177 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK177(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK178 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK178(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK179 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK179(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK180 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X0_13] : 410.06/52.22 ( iProver_Flat_sK180(X0,X1,X2,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK181 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK181(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK182 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK182(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK183 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3,X0_13] : 410.06/52.22 ( iProver_Flat_sK183(X0,X1,X2,X3,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK184 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK184(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK185 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK185(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK186 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK186(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK187 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK187(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK188 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK188(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK189 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK189(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK190 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK190(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK191 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X1_13] : 410.06/52.22 ( iProver_Flat_sK191(X0_13,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK192 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK192(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK193 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK193(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=X0 | X1!=X0 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=X0 | X1!=X0 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1=X0 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 & X1=X0 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK194 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK194(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK195 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK195(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK196 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK196(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK197 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK197(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK198 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK198(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK199 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK199(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK200 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK200(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK201 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK201(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK202 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK202(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK203 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK203(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK204 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK204(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK205 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK205(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK206 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3,X0_13] : 410.06/52.22 ( iProver_Flat_sK206(X0,X1,X2,X3,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK207 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK207(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK208 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK208(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK209 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK209(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK210 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X0_13] : 410.06/52.22 ( iProver_Flat_sK210(X0,X1,X2,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK211 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK211(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK212 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK212(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK213 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK213(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK214 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK214(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK215 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK215(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK216 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK216(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK217 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK217(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK218 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3,X0_13] : 410.06/52.22 ( iProver_Flat_sK218(X0,X1,X2,X3,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK219 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK219(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK220 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK220(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK221 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK221(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK222 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X0_13] : 410.06/52.22 ( iProver_Flat_sK222(X0,X1,X2,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK223 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK223(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK224 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK224(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK225 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK225(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK226 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK226(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK227 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK227(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK228 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK228(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK229 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK229(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK230 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK230(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK231 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK231(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK232 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK232(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK233 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK233(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK234 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK234(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK235 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK235(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK236 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X3,X1_13] : 410.06/52.22 ( iProver_Flat_sK236(X0_13,X0,X1,X2,X3,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X3=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X3=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X3=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X3=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X3=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK237 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK237(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK238 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK238(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK239 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK239(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK240 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK240(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK241 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK241(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK242 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X1_13] : 410.06/52.22 ( iProver_Flat_sK242(X0_13,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK243 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X1_13] : 410.06/52.22 ( iProver_Flat_sK243(X0_13,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK244 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X1_13] : 410.06/52.22 ( iProver_Flat_sK244(X0_13,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK245 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X1_13] : 410.06/52.22 ( iProver_Flat_sK245(X0_13,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK246 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X1_13] : 410.06/52.22 ( iProver_Flat_sK246(X0_13,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK247 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X1_13] : 410.06/52.22 ( iProver_Flat_sK247(X0_13,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK248 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13] : 410.06/52.22 ( iProver_Flat_sK248(X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK249 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13] : 410.06/52.22 ( iProver_Flat_sK249(X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK250 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13] : 410.06/52.22 ( iProver_Flat_sK250(X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_3 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK251 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK251(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK252 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK252(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK253 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK253(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK254 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK254(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK255 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK255(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK256 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK256(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK257 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK257(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK258 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK258(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK259 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK259(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK260 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK260(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK261 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK261(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK262 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X0_13] : 410.06/52.22 ( iProver_Flat_sK262(X0,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK263 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK263(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK264 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK264(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK265 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK265(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK266 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK266(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 | X1_13!=iProver_Domain_'ki_world'_2 ) 410.06/52.22 & 410.06/52.22 ( X1_13!=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X0=iProver_Domain_i_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK267 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK267(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X0!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK268 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK268(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK269 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK269(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK270 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1_13] : 410.06/52.22 ( iProver_Flat_sK270(X0_13,X0,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK271 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3,X0_13] : 410.06/52.22 ( iProver_Flat_sK271(X0,X1,X2,X3,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK272 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK272(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK273 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X2,X1_13] : 410.06/52.22 ( iProver_Flat_sK273(X0_13,X0,X1,X2,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK274 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK274(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK275 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X0_13] : 410.06/52.22 ( iProver_Flat_sK275(X0,X1,X2,X0_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK276 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK276(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sK277 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0_13,X0,X1,X1_13] : 410.06/52.22 ( iProver_Flat_sK277(X0_13,X0,X1,X1_13) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0_13=iProver_Domain_'ki_world'_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_trans 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1] : 410.06/52.22 ( iProver_Flat_trans(X0,X1) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_a_select3 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3] : 410.06/52.22 ( iProver_Flat_a_select3(X0,X1,X2,X3) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_n0 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_n0(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_n5 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_n5(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_3 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_plus 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_plus(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_succ 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1] : 410.06/52.22 ( iProver_Flat_succ(X0,X1) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_3 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_n3 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_n3(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_minus 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_minus(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_3 & X1=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_3 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_minus_1 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_tptp_minus_1(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_n4 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_n4(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_const_array2 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3] : 410.06/52.22 ( iProver_Flat_tptp_const_array2(X0,X1,X2,X3) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_msub 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_tptp_msub(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_sum 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3] : 410.06/52.22 ( iProver_Flat_sum(X0,X1,X2,X3) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_mmul 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_tptp_mmul(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_madd 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_tptp_madd(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_uniform_int_rnd 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_uniform_int_rnd(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_inv 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1] : 410.06/52.22 ( iProver_Flat_inv(X0,X1) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_pred 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1] : 410.06/52.22 ( iProver_Flat_pred(X0,X1) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_3 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_update3 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3,X4] : 410.06/52.22 ( iProver_Flat_tptp_update3(X0,X1,X2,X3,X4) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 | X4!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 | X4!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 | X4!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 | X4!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X4=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X4=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X4=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X4=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X4=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X4=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X4=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X4!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 & X4=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X4=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X4=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_update2 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2,X3] : 410.06/52.22 ( iProver_Flat_tptp_update2(X0,X1,X2,X3) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 | X3!=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X3!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 & X3=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X3=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X3=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_float_0_0 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_tptp_float_0_0(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_n2 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_n2(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_n1 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_n1(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_a_select2 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_a_select2(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 & X2=iProver_Domain_i_2 ) 410.06/52.22 & 410.06/52.22 ( X1!=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_dim 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_dim(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_tptp_const_array1 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0,X1,X2] : 410.06/52.22 ( iProver_Flat_tptp_const_array1(X0,X1,X2) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_1 ) 410.06/52.22 & 410.06/52.22 ( X2!=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 | 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_def 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_def(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_use 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_use(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_2 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_pv40 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_pv40(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 410.06/52.22 %------ Positive definition of iProver_Flat_pv31 410.06/52.22 fof(lit_def,axiom, 410.06/52.22 (! [X0] : 410.06/52.22 ( iProver_Flat_pv31(X0) <=> 410.06/52.22 ( 410.06/52.22 ( 410.06/52.22 ( X0=iProver_Domain_i_1 ) 410.06/52.22 ) 410.06/52.22 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ) 410.06/52.22 ). 410.06/52.22 % SZS output end Model for theBenchmark.p 410.06/52.22 410.06/52.25 EOF