0.04/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.09 % Command : /export/starexec/sandbox2/solver/bin/run_iprover 120 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT 0.08/0.29 % Computer : n026.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 960 0.08/0.29 % WCLimit : 120 0.08/0.29 % DateTime : Wed Jul 30 06:06:34 EDT 2025 0.08/0.29 % CPUTime : 0.14/0.38 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.14/0.38 Running model finding 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s fnt_schedule -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.39 0.14/0.39 % ======== iProver multi-core TPTP/SMT ========= 0.14/0.39 0.14/0.39 % Detected problem language: tptp 0.14/0.40 % Checking... 0.37/1.07 % Proving... 8.19/2.29 % SZS status Started for theBenchmark.p 8.19/2.29 % SZS status Satisfiable for theBenchmark.p 8.19/2.29 8.19/2.29 %---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------% 8.19/2.29 8.19/2.29 ------ iProver source info 8.19/2.29 8.19/2.29 git: date: 2025-07-21 10:15:00 +0000 8.19/2.29 git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f 8.19/2.29 git: non_committed_changes: true 8.19/2.29 8.19/2.29 ------ Parsing... 8.19/2.29 ------ Clausification by vclausify_rel & Parsing by iProver... 8.19/2.29 ------ Proving... 8.19/2.29 ------ Problem Properties 8.19/2.29 8.19/2.29 8.19/2.29 clauses 283 8.19/2.29 conjectures 2 8.19/2.29 EPR 15 8.19/2.29 Horn 93 8.19/2.29 unary 5 8.19/2.29 binary 17 8.19/2.29 lits 1566 8.19/2.29 lits eq 0 8.19/2.29 fd_pure 0 8.19/2.29 fd_pseudo 0 8.19/2.29 fd_cond 0 8.19/2.29 fd_pseudo_cond 0 8.19/2.29 AC symbols 0 8.19/2.29 8.19/2.29 ------ Input Options Time Limit: Unbounded 8.19/2.29 8.19/2.29 8.19/2.29 ------ Finite Models: 8.19/2.29 8.19/2.29 ------ lit_activity_flag true 8.19/2.29 8.19/2.29 8.19/2.29 ------ Trying domains of size >= : 1 8.19/2.29 8.19/2.29 ------ Trying domains of size >= : 2 8.19/2.29 ------ 8.19/2.29 Current options: 8.19/2.29 ------ 8.19/2.29 8.19/2.29 ------ Input Options 8.19/2.29 8.19/2.29 --out_options all 8.19/2.29 --tptp_safe_out true 8.19/2.29 --problem_path "" 8.19/2.29 --include_path "" 8.19/2.29 --clausifier res/vclausify_rel 8.19/2.29 --clausifier_options --mode tclausify -t 41.66 --show_fool true -updr off 8.19/2.29 --stdin false 8.19/2.29 --proof_out true 8.19/2.29 --proof_dot_file "" 8.19/2.29 --proof_reduce_dot [] 8.19/2.29 --suppress_sat_res false 8.19/2.29 --suppress_unsat_res true 8.19/2.29 --stats_out none 8.19/2.29 --stats_mem false 8.19/2.29 --theory_stats_out false 8.19/2.29 8.19/2.29 ------ General Options 8.19/2.29 8.19/2.29 --fof false 8.19/2.29 --time_out_real 124.99 8.19/2.29 --time_out_virtual -1. 8.19/2.29 --rnd_seed 13 8.19/2.29 --symbol_type_check false 8.19/2.29 --clausify_out false 8.19/2.29 --sig_cnt_out false 8.19/2.29 --trig_cnt_out false 8.19/2.29 --trig_cnt_out_tolerance 1. 8.19/2.29 --trig_cnt_out_sk_spl false 8.19/2.29 --abstr_cl_out false 8.19/2.29 8.19/2.29 ------ Interactive Mode 8.19/2.29 8.19/2.29 --interactive_mode false 8.19/2.29 --external_ip_address "" 8.19/2.29 --external_port 0 8.19/2.29 8.19/2.29 ------ Global Options 8.19/2.29 8.19/2.29 --schedule none 8.19/2.29 --add_important_lit false 8.19/2.29 --prop_solver_per_cl 500 8.19/2.29 --subs_bck_mult 8 8.19/2.29 --min_unsat_core false 8.19/2.29 --soft_assumptions false 8.19/2.29 --soft_lemma_size 3 8.19/2.29 --prop_impl_unit_size 0 8.19/2.29 --prop_impl_unit [] 8.19/2.29 --share_sel_clauses true 8.19/2.29 --reset_solvers false 8.19/2.29 --bc_imp_inh [conj_cone] 8.19/2.29 --conj_cone_tolerance 3. 8.19/2.29 --extra_neg_conj none 8.19/2.29 --large_theory_mode true 8.19/2.29 --prolific_symb_bound 200 8.19/2.29 --lt_threshold 2000 8.19/2.29 --clause_weak_htbl true 8.19/2.29 --gc_record_bc_elim false 8.19/2.29 8.19/2.29 ------ Preprocessing Options 8.19/2.29 8.19/2.29 --preprocessing_flag false 8.19/2.29 --time_out_prep_mult 0.1 8.19/2.29 --splitting_mode input 8.19/2.29 --splitting_grd true 8.19/2.29 --splitting_cvd false 8.19/2.29 --splitting_cvd_svl false 8.19/2.29 --splitting_nvd 32 8.19/2.29 --sub_typing false 8.19/2.29 --prep_eq_flat_conj false 8.19/2.29 --prep_eq_flat_all_gr false 8.19/2.29 --prep_gs_sim true 8.19/2.29 --prep_unflatten true 8.19/2.29 --prep_res_sim true 8.19/2.29 --prep_sup_sim_all true 8.19/2.29 --prep_sup_sim_sup false 8.19/2.29 --prep_upred true 8.19/2.29 --prep_well_definedness true 8.19/2.29 --prep_sem_filter exhaustive 8.19/2.29 --prep_sem_filter_out false 8.19/2.29 --pred_elim true 8.19/2.29 --res_sim_input true 8.19/2.29 --eq_ax_congr_red true 8.19/2.29 --pure_diseq_elim true 8.19/2.29 --brand_transform false 8.19/2.29 --non_eq_to_eq false 8.19/2.29 --prep_def_merge true 8.19/2.29 --prep_def_merge_prop_impl false 8.19/2.29 --prep_def_merge_mbd true 8.19/2.29 --prep_def_merge_tr_red false 8.19/2.29 --prep_def_merge_tr_cl false 8.19/2.29 --smt_preprocessing false 8.19/2.29 --smt_ac_axioms fast 8.19/2.29 --preprocessed_out false 8.19/2.29 --preprocessed_stats false 8.19/2.29 8.19/2.29 ------ Abstraction refinement Options 8.19/2.29 8.19/2.29 --abstr_ref [] 8.19/2.29 --abstr_ref_prep false 8.19/2.29 --abstr_ref_until_sat false 8.19/2.29 --abstr_ref_sig_restrict funpre 8.19/2.29 --abstr_ref_af_restrict_to_split_sk false 8.19/2.29 --abstr_ref_under [] 8.19/2.29 8.19/2.29 ------ SAT Options 8.19/2.29 8.19/2.29 --sat_mode true 8.19/2.29 --sat_fm_restart_options "" 8.19/2.29 --sat_gr_def false 8.19/2.29 --sat_epr_types true 8.19/2.29 --sat_non_cyclic_types false 8.19/2.29 --sat_finite_models true 8.19/2.29 --sat_fm_lemmas false 8.19/2.29 --sat_fm_prep false 8.19/2.29 --sat_fm_uc_incr true 8.19/2.29 --sat_out_model pos 8.19/2.29 --sat_out_clauses false 8.19/2.29 8.19/2.29 ------ QBF Options 8.19/2.29 8.19/2.29 --qbf_mode false 8.19/2.29 --qbf_elim_univ false 8.19/2.29 --qbf_dom_inst none 8.19/2.29 --qbf_dom_pre_inst false 8.19/2.29 --qbf_sk_in false 8.19/2.29 --qbf_pred_elim true 8.19/2.29 --qbf_split 512 8.19/2.29 8.19/2.29 ------ BMC1 Options 8.19/2.29 8.19/2.29 --bmc1_incremental false 8.19/2.29 --bmc1_axioms reachable_all 8.19/2.29 --bmc1_min_bound 0 8.19/2.29 --bmc1_max_bound -1 8.19/2.29 --bmc1_max_bound_default -1 8.19/2.29 --bmc1_symbol_reachability true 8.19/2.29 --bmc1_property_lemmas false 8.19/2.29 --bmc1_k_induction false 8.19/2.29 --bmc1_non_equiv_states false 8.19/2.29 --bmc1_deadlock false 8.19/2.29 --bmc1_ucm false 8.19/2.29 --bmc1_add_unsat_core none 8.19/2.29 --bmc1_unsat_core_children false 8.19/2.29 --bmc1_unsat_core_extrapolate_axioms false 8.19/2.29 --bmc1_out_stat full 8.19/2.29 --bmc1_ground_init false 8.19/2.29 --bmc1_pre_inst_next_state false 8.19/2.29 --bmc1_pre_inst_state false 8.19/2.29 --bmc1_pre_inst_reach_state false 8.19/2.29 --bmc1_out_unsat_core false 8.19/2.29 --bmc1_aig_witness_out false 8.19/2.29 --bmc1_verbose false 8.19/2.29 --bmc1_dump_clauses_tptp false 8.19/2.29 --bmc1_dump_unsat_core_tptp false 8.19/2.29 --bmc1_dump_file - 8.19/2.29 --bmc1_ucm_expand_uc_limit 128 8.19/2.29 --bmc1_ucm_n_expand_iterations 6 8.19/2.29 --bmc1_ucm_extend_mode 1 8.19/2.29 --bmc1_ucm_init_mode 2 8.19/2.29 --bmc1_ucm_cone_mode none 8.19/2.29 --bmc1_ucm_reduced_relation_type 0 8.19/2.29 --bmc1_ucm_relax_model 4 8.19/2.29 --bmc1_ucm_full_tr_after_sat true 8.19/2.29 --bmc1_ucm_expand_neg_assumptions false 8.19/2.29 --bmc1_ucm_layered_model none 8.19/2.29 --bmc1_ucm_max_lemma_size 10 8.19/2.29 8.19/2.29 ------ AIG Options 8.19/2.29 8.19/2.29 --aig_mode false 8.19/2.29 8.19/2.29 ------ Instantiation Options 8.19/2.29 8.19/2.29 --instantiation_flag true 8.19/2.29 --inst_sos_flag false 8.19/2.29 --inst_sos_phase true 8.19/2.29 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 8.19/2.29 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 8.19/2.29 --inst_lit_sel_side num_symb 8.19/2.29 --inst_solver_per_active 1400 8.19/2.29 --inst_solver_calls_frac 1. 8.19/2.29 --inst_to_smt_solver true 8.19/2.29 --inst_passive_queue_type priority_queues 8.19/2.29 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 8.19/2.29 --inst_passive_queues_freq [25;2] 8.19/2.29 --inst_dismatching true 8.19/2.29 --inst_eager_unprocessed_to_passive true 8.19/2.29 --inst_unprocessed_bound 1000 8.19/2.29 --inst_prop_sim_given true 8.19/2.29 --inst_prop_sim_new false 8.19/2.29 --inst_subs_new false 8.19/2.29 --inst_eq_res_simp false 8.19/2.29 --inst_subs_given false 8.19/2.29 --inst_orphan_elimination true 8.19/2.29 --inst_learning_loop_flag true 8.19/2.29 --inst_learning_start 3000 8.19/2.29 --inst_learning_factor 2 8.19/2.29 --inst_start_prop_sim_after_learn 3 8.19/2.29 --inst_sel_renew solver 8.19/2.29 --inst_lit_activity_flag true 8.19/2.29 --inst_restr_to_given false 8.19/2.29 --inst_activity_threshold 500 8.19/2.29 8.19/2.29 ------ Resolution Options 8.19/2.29 8.19/2.29 --resolution_flag false 8.19/2.29 --res_lit_sel adaptive 8.19/2.29 --res_lit_sel_side none 8.19/2.29 --res_ordering kbo 8.19/2.29 --res_to_prop_solver active 8.19/2.29 --res_prop_simpl_new false 8.19/2.29 --res_prop_simpl_given true 8.19/2.29 --res_to_smt_solver true 8.19/2.29 --res_passive_queue_type priority_queues 8.19/2.29 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 8.19/2.29 --res_passive_queues_freq [15;5] 8.19/2.29 --res_forward_subs full 8.19/2.29 --res_backward_subs full 8.19/2.29 --res_forward_subs_resolution true 8.19/2.29 --res_backward_subs_resolution true 8.19/2.29 --res_orphan_elimination true 8.19/2.29 --res_time_limit 300. 8.19/2.29 8.19/2.29 ------ Superposition Options 8.19/2.29 8.19/2.29 --superposition_flag false 8.19/2.29 --sup_passive_queue_type priority_queues 8.19/2.29 --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]] 8.19/2.29 --sup_passive_queues_freq [8;1;4;4] 8.19/2.29 --demod_completeness_check fast 8.19/2.29 --demod_use_ground true 8.19/2.29 --sup_unprocessed_bound 0 8.19/2.29 --sup_to_prop_solver passive 8.19/2.29 --sup_prop_simpl_new true 8.19/2.29 --sup_prop_simpl_given true 8.19/2.29 --sup_fun_splitting false 8.19/2.29 --sup_iter_deepening 2 8.19/2.29 --sup_restarts_mult 12 8.19/2.29 --sup_score sim_d_gen 8.19/2.29 --sup_share_score_frac 0.2 8.19/2.29 --sup_share_max_num_cl 500 8.19/2.29 --sup_ordering kbo 8.19/2.29 --sup_symb_ordering invfreq 8.19/2.29 --sup_term_weight default 8.19/2.29 8.19/2.29 ------ Superposition Simplification Setup 8.19/2.29 8.19/2.29 --sup_indices_passive [LightNormIndex;FwDemodIndex] 8.19/2.29 --sup_full_triv [SMTSimplify;PropSubs] 8.19/2.29 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 8.19/2.29 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 8.19/2.29 --sup_immed_triv [] 8.19/2.29 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 8.19/2.29 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 8.19/2.29 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 8.19/2.29 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 8.19/2.29 --sup_input_triv [Unflattening;SMTSimplify] 8.19/2.29 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 8.19/2.29 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 8.19/2.29 --sup_full_fixpoint true 8.19/2.29 --sup_main_fixpoint true 8.19/2.29 --sup_immed_fixpoint false 8.19/2.29 --sup_input_fixpoint true 8.19/2.29 --sup_cache_sim none 8.19/2.29 --sup_smt_interval 500 8.19/2.29 --sup_bw_gjoin_interval 0 8.19/2.29 8.19/2.29 ------ Combination Options 8.19/2.29 8.19/2.29 --comb_mode clause_based 8.19/2.29 --comb_inst_mult 5 8.19/2.29 --comb_res_mult 1 8.19/2.29 --comb_sup_mult 8 8.19/2.29 --comb_sup_deep_mult 2 8.19/2.29 8.19/2.29 ------ Debug Options 8.19/2.29 8.19/2.29 --dbg_backtrace false 8.19/2.29 --dbg_dump_prop_clauses false 8.19/2.29 --dbg_dump_prop_clauses_file - 8.19/2.29 --dbg_out_stat false 8.19/2.29 --dbg_just_parse false 8.19/2.29 8.19/2.29 8.19/2.29 8.19/2.29 8.19/2.29 ------ Proving... 8.19/2.29 8.19/2.29 ------ Trying domains of size >= : 2 8.19/2.29 8.19/2.29 8.19/2.29 ------ Proving... 8.19/2.29 8.19/2.29 8.19/2.29 % SZS status Satisfiable for theBenchmark.p 8.19/2.29 8.19/2.29 ------ Building Model...Done 8.19/2.29 8.19/2.29 %------ The model is defined over ground terms (initial term algebra). 8.19/2.29 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 8.19/2.29 %------ where \phi is a formula over the term algebra. 8.19/2.29 %------ If we have equality in the problem then it is also defined as a predicate above, 8.19/2.29 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 8.19/2.29 %------ See help for --sat_out_model for different model outputs. 8.19/2.29 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 8.19/2.29 %------ where the first argument stands for the sort ($i in the unsorted case) 8.19/2.29 % SZS output start Model for theBenchmark.p 8.19/2.29 8.19/2.29 %------ Positive definition of '$ki_accessible' 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( '$ki_accessible'(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_2 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_2 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of r2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( r2(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of r3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( r3(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of r4 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( r4(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of r5 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( r5(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of equivalence_1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( equivalence_1(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of equivalence_2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( equivalence_2(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of cn2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( cn2(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of cn1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( cn1(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of cn3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( cn3(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of kn2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( kn2(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of kn1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( kn1(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of kn3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( kn3(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of equivalence_3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( equivalence_3(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of op_implies_or 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( op_implies_or(X0_'ki_world') <=> 8.19/2.29 $false 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of op_and 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( op_and(X0_'ki_world') <=> 8.19/2.29 $false 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of and_2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( and_2(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of and_3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( and_3(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of and_1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( and_1(X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of implies_2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( implies_2(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of implies_3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( implies_3(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of op_implies_and 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( op_implies_and(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of implies_1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( implies_1(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of substitution_of_equivalents 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( substitution_of_equivalents(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of op_or 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( op_or(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of modus_tollens 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( modus_tollens(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of or_1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( or_1(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of or_2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( or_2(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of or_3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( or_3(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of op_equiv 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( op_equiv(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of modus_ponens 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( modus_ponens(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of op_implies 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( op_implies(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of r1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( r1(X0_'ki_world') <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of qmltpeq 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1] : 8.19/2.29 ( qmltpeq(X0_'ki_world',X0,X1) <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of is_a_theorem 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0] : 8.19/2.29 ( is_a_theorem(X0_'ki_world',X0) <=> 8.19/2.29 $true 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of '$ki_exists_in_world 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0] : 8.19/2.29 ( '$ki_exists_in_world(X0_'ki_world',X0) <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of sP0 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( sP0(X0_'ki_world') <=> 8.19/2.29 $false 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_'$ki_local_world' 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_'$ki_local_world'(X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK1 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK1(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK2 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK2(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK3 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK3(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK4 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK4(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK5 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK5(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK6 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK6(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK7 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK7(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK8 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK8(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK9 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK9(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK10 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK10(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK11 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK11(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK12 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK12(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK13 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK13(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK14 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK14(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK15 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK15(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_2 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_2 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK16 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK16(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK17 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK17(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK18 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK18(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK19 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK19(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK20 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK20(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK21 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK21(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK22 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK22(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK23 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK23(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK24 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK24(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK25 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK25(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK26 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK26(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK27 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK27(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK28 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK28(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK29 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK29(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK30 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK30(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK31 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK31(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK32 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK32(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK33 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK33(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK34 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK34(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK35 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK35(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK36 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK36(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK37 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK37(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK38 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK38(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK39 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK39(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK40 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK40(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK41 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK41(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK42 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK42(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK43 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK43(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK44 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK44(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK45 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK45(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK46 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK46(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK47 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK47(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK48 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK48(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK49 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK49(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK50 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK50(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK51 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK51(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK52 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK52(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK53 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK53(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_2 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK54 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK54(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK55 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK55(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK56 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK56(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK57 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK57(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK58 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK58(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK59 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK59(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK60 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK60(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK61 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK61(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK62 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK62(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK63 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK63(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK64 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK64(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK65 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK65(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK66 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK66(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK67 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK67(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK68 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK68(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK69 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK69(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK70 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK70(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK71 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK71(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK72 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK72(X0_'ki_world',X0,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK73 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK73(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK74 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK74(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK75 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK75(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK76 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK76(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK77 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK77(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK78 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK78(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK79 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK79(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK80 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK80(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK81 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK81(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK82 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK82(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK83 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK83(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK84 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK84(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK85 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK85(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK86 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK86(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK87 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK87(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK88 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK88(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK89 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK89(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK90 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK90(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK91 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK91(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK92 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK92(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK93 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK93(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK94 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK94(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_2 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK95 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK95(X0_'ki_world',X0,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK96 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK96(X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_2 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK97 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK97(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK98 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK98(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_2 ) 8.19/2.29 & 8.19/2.29 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_2 & X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK99 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK99(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK100 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK100(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 & X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_2 ) 8.19/2.29 & 8.19/2.29 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK101 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK101(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK102 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK102(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK103 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK103(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK104 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK104(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK105 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK105(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK106 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK106(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK107 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK107(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK108 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK108(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK109 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK109(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK110 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK110(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK111 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK111(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK112 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK112(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK113 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK113(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK114 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK114(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK115 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK115(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK116 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK116(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK117 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK117(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK118 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK118(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK119 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK119(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK120 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK120(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK121 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK121(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK122 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK122(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK123 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK123(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK124 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK124(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X0!=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK125 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK125(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK126 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK126(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK127 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK127(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK128 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK128(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK129 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK129(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK130 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK130(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK131 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK131(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK132 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK132(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK133 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK133(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK134 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK134(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK135 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK135(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK136 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK136(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK137 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK137(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK138 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK138(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK139 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK139(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK140 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK140(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK141 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK141(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK142 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK142(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK143 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK143(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK144 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK144(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK145 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK145(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK146 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK146(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK147 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK147(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK148 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK148(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK149 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK149(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK150 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK150(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK151 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK151(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK152 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK152(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK153 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK153(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK154 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK154(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK155 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK155(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK156 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK156(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK157 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK157(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK158 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK158(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK159 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK159(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK160 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK160(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK161 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK161(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK162 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK162(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK163 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK163(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK164 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK164(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK165 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK165(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK166 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK166(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK167 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK167(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK168 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK168(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK169 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK169(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK170 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK170(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK171 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK171(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK172 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK172(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK173 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK173(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK174 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK174(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK175 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK175(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK176 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK176(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK177 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK177(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK178 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK178(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK179 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK179(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK180 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK180(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK181 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK181(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK182 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK182(X0_'ki_world',X0,X1,X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK183 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK183(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK184 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK184(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK185 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK185(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK186 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK186(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK187 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X0_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK187(X0,X0_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK188 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK188(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_sK189 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0_'ki_world',X1_'ki_world'] : 8.19/2.29 ( iProver_Flat_sK189(X0_'ki_world',X1_'ki_world') <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ) 8.19/2.29 ). 8.19/2.29 8.19/2.29 %------ Positive definition of iProver_Flat_implies 8.19/2.29 fof(lit_def,axiom, 8.19/2.29 (! [X0,X1,X2] : 8.19/2.29 ( iProver_Flat_implies(X0,X1,X2) <=> 8.19/2.29 ( 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_2 ) 8.19/2.29 & 8.19/2.29 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X2!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X2!=iProver_Domain_i_2 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X2!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X2!=iProver_Domain_i_2 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 8.19/2.29 ) 8.19/2.29 8.19/2.29 | 8.19/2.29 ( 8.19/2.29 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 8.19/2.29 & 8.19/2.29 ( X2!=iProver_Domain_i_1 ) 8.19/2.29 & 8.19/2.29 ( X2!=iProver_Domain_i_2 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_2 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_2 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ). 8.19/2.30 8.19/2.30 %------ Positive definition of iProver_Flat_not 8.19/2.30 fof(lit_def,axiom, 8.19/2.30 (! [X0,X1] : 8.19/2.30 ( iProver_Flat_not(X0,X1) <=> 8.19/2.30 ( 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_2 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ). 8.19/2.30 8.19/2.30 %------ Positive definition of iProver_Flat_and 8.19/2.30 fof(lit_def,axiom, 8.19/2.30 (! [X0,X1,X2] : 8.19/2.30 ( iProver_Flat_and(X0,X1,X2) <=> 8.19/2.30 ( 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X2!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X2!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ). 8.19/2.30 8.19/2.30 %------ Positive definition of iProver_Flat_or 8.19/2.30 fof(lit_def,axiom, 8.19/2.30 (! [X0,X1,X2] : 8.19/2.30 ( iProver_Flat_or(X0,X1,X2) <=> 8.19/2.30 ( 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_2 ) 8.19/2.30 & 8.19/2.30 ( X2!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ). 8.19/2.30 8.19/2.30 %------ Positive definition of iProver_Flat_equiv 8.19/2.30 fof(lit_def,axiom, 8.19/2.30 (! [X0,X1,X2] : 8.19/2.30 ( iProver_Flat_equiv(X0,X1,X2) <=> 8.19/2.30 ( 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 8.19/2.30 & 8.19/2.30 ( X2!=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 | 8.19/2.30 ( 8.19/2.30 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 8.19/2.30 ) 8.19/2.30 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ) 8.19/2.30 ). 8.19/2.30 % SZS output end Model for theBenchmark.p 8.19/2.30 8.19/2.38 EOF