0.08/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.12 % Command : run_iprover %s %d SAT 0.12/0.33 % Computer : n029.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 06:06:19 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.50 Running model finding 0.19/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 120 4.33/1.17 % SZS status Started for theBenchmark.p 4.33/1.17 % SZS status Satisfiable for theBenchmark.p 4.33/1.17 4.33/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------% 4.33/1.17 4.33/1.17 ------ iProver source info 4.33/1.17 4.33/1.17 git: date: 2024-06-12 09:56:46 +0000 4.33/1.17 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49 4.33/1.17 git: non_committed_changes: false 4.33/1.17 4.33/1.17 ------ Parsing... 4.33/1.17 ------ Clausification by vclausify_rel & Parsing by iProver... 4.33/1.17 ------ Proving... 4.33/1.17 ------ Problem Properties 4.33/1.17 4.33/1.17 4.33/1.17 clauses 283 4.33/1.17 conjectures 2 4.33/1.17 EPR 15 4.33/1.17 Horn 93 4.33/1.17 unary 5 4.33/1.17 binary 17 4.33/1.17 lits 1566 4.33/1.17 lits eq 0 4.33/1.17 fd_pure 0 4.33/1.17 fd_pseudo 0 4.33/1.17 fd_cond 0 4.33/1.17 fd_pseudo_cond 0 4.33/1.17 AC symbols 0 4.33/1.17 4.33/1.17 ------ Input Options Time Limit: Unbounded 4.33/1.17 4.33/1.17 4.33/1.17 ------ Finite Models: 4.33/1.17 4.33/1.17 ------ lit_activity_flag true 4.33/1.17 4.33/1.17 4.33/1.17 ------ Trying domains of size >= : 1 4.33/1.17 4.33/1.17 ------ Trying domains of size >= : 2 4.33/1.17 ------ 4.33/1.17 Current options: 4.33/1.17 ------ 4.33/1.17 4.33/1.17 ------ Input Options 4.33/1.17 4.33/1.17 --out_options all 4.33/1.17 --tptp_safe_out true 4.33/1.17 --problem_path "" 4.33/1.17 --include_path "" 4.33/1.17 --clausifier res/vclausify_rel 4.33/1.17 --clausifier_options --mode tclausify --show_fool true -t 124.99 -updr off 4.33/1.17 --stdin false 4.33/1.17 --proof_out true 4.33/1.17 --proof_dot_file "" 4.33/1.17 --proof_reduce_dot [] 4.33/1.17 --suppress_sat_res false 4.33/1.17 --suppress_unsat_res true 4.33/1.17 --stats_out none 4.33/1.17 --stats_mem false 4.33/1.17 --theory_stats_out false 4.33/1.17 4.33/1.17 ------ General Options 4.33/1.17 4.33/1.17 --fof false 4.33/1.17 --time_out_real 124.99 4.33/1.17 --time_out_virtual -1. 4.33/1.17 --rnd_seed 13 4.33/1.17 --symbol_type_check false 4.33/1.17 --clausify_out false 4.33/1.17 --sig_cnt_out false 4.33/1.17 --trig_cnt_out false 4.33/1.17 --trig_cnt_out_tolerance 1. 4.33/1.17 --trig_cnt_out_sk_spl false 4.33/1.17 --abstr_cl_out false 4.33/1.17 4.33/1.17 ------ Interactive Mode 4.33/1.17 4.33/1.17 --interactive_mode false 4.33/1.17 --external_ip_address "" 4.33/1.17 --external_port 0 4.33/1.17 4.33/1.17 ------ Global Options 4.33/1.17 4.33/1.17 --schedule none 4.33/1.17 --add_important_lit false 4.33/1.17 --prop_solver_per_cl 500 4.33/1.17 --subs_bck_mult 8 4.33/1.17 --min_unsat_core false 4.33/1.17 --soft_assumptions false 4.33/1.17 --soft_lemma_size 3 4.33/1.17 --prop_impl_unit_size 0 4.33/1.17 --prop_impl_unit [] 4.33/1.17 --share_sel_clauses true 4.33/1.17 --reset_solvers false 4.33/1.17 --bc_imp_inh [conj_cone] 4.33/1.17 --conj_cone_tolerance 3. 4.33/1.17 --extra_neg_conj none 4.33/1.17 --large_theory_mode true 4.33/1.17 --prolific_symb_bound 200 4.33/1.17 --lt_threshold 2000 4.33/1.17 --clause_weak_htbl true 4.33/1.17 --gc_record_bc_elim false 4.33/1.17 4.33/1.17 ------ Preprocessing Options 4.33/1.17 4.33/1.17 --preprocessing_flag false 4.33/1.17 --time_out_prep_mult 0.1 4.33/1.17 --splitting_mode input 4.33/1.17 --splitting_grd true 4.33/1.17 --splitting_cvd false 4.33/1.17 --splitting_cvd_svl false 4.33/1.17 --splitting_nvd 32 4.33/1.17 --sub_typing false 4.33/1.17 --prep_eq_flat_conj true 4.33/1.17 --prep_eq_flat_all_gr false 4.33/1.17 --prep_gs_sim true 4.33/1.17 --prep_unflatten true 4.33/1.17 --prep_res_sim true 4.33/1.17 --prep_sup_sim_all true 4.33/1.17 --prep_sup_sim_sup false 4.33/1.17 --prep_upred true 4.33/1.17 --prep_well_definedness true 4.33/1.17 --prep_sem_filter exhaustive 4.33/1.17 --prep_sem_filter_out false 4.33/1.17 --pred_elim true 4.33/1.17 --res_sim_input true 4.33/1.17 --eq_ax_congr_red true 4.33/1.17 --pure_diseq_elim true 4.33/1.17 --brand_transform false 4.33/1.17 --non_eq_to_eq false 4.33/1.17 --prep_def_merge true 4.33/1.17 --prep_def_merge_prop_impl false 4.33/1.17 --prep_def_merge_mbd true 4.33/1.17 --prep_def_merge_tr_red false 4.33/1.17 --prep_def_merge_tr_cl false 4.33/1.17 --smt_preprocessing false 4.33/1.17 --smt_ac_axioms fast 4.33/1.17 --preprocessed_out false 4.33/1.17 --preprocessed_stats false 4.33/1.17 4.33/1.17 ------ Abstraction refinement Options 4.33/1.17 4.33/1.17 --abstr_ref [] 4.33/1.17 --abstr_ref_prep false 4.33/1.17 --abstr_ref_until_sat false 4.33/1.17 --abstr_ref_sig_restrict funpre 4.33/1.17 --abstr_ref_af_restrict_to_split_sk false 4.33/1.17 --abstr_ref_under [] 4.33/1.17 4.33/1.17 ------ SAT Options 4.33/1.17 4.33/1.17 --sat_mode true 4.33/1.17 --sat_fm_restart_options "" 4.33/1.17 --sat_gr_def false 4.33/1.17 --sat_epr_types true 4.33/1.17 --sat_non_cyclic_types false 4.33/1.17 --sat_finite_models true 4.33/1.17 --sat_fm_lemmas false 4.33/1.17 --sat_fm_prep false 4.33/1.17 --sat_fm_uc_incr true 4.33/1.17 --sat_out_model pos 4.33/1.17 --sat_out_clauses false 4.33/1.17 4.33/1.17 ------ QBF Options 4.33/1.17 4.33/1.17 --qbf_mode false 4.33/1.17 --qbf_elim_univ false 4.33/1.17 --qbf_dom_inst none 4.33/1.17 --qbf_dom_pre_inst false 4.33/1.17 --qbf_sk_in false 4.33/1.17 --qbf_pred_elim true 4.33/1.17 --qbf_split 512 4.33/1.17 4.33/1.17 ------ BMC1 Options 4.33/1.17 4.33/1.17 --bmc1_incremental false 4.33/1.17 --bmc1_axioms reachable_all 4.33/1.17 --bmc1_min_bound 0 4.33/1.17 --bmc1_max_bound -1 4.33/1.17 --bmc1_max_bound_default -1 4.33/1.17 --bmc1_symbol_reachability true 4.33/1.17 --bmc1_property_lemmas false 4.33/1.17 --bmc1_k_induction false 4.33/1.17 --bmc1_non_equiv_states false 4.33/1.17 --bmc1_deadlock false 4.33/1.17 --bmc1_ucm false 4.33/1.17 --bmc1_add_unsat_core none 4.33/1.17 --bmc1_unsat_core_children false 4.33/1.17 --bmc1_unsat_core_extrapolate_axioms false 4.33/1.17 --bmc1_out_stat full 4.33/1.17 --bmc1_ground_init false 4.33/1.17 --bmc1_pre_inst_next_state false 4.33/1.17 --bmc1_pre_inst_state false 4.33/1.17 --bmc1_pre_inst_reach_state false 4.33/1.17 --bmc1_out_unsat_core false 4.33/1.17 --bmc1_aig_witness_out false 4.33/1.17 --bmc1_verbose false 4.33/1.17 --bmc1_dump_clauses_tptp false 4.33/1.17 --bmc1_dump_unsat_core_tptp false 4.33/1.17 --bmc1_dump_file - 4.33/1.17 --bmc1_ucm_expand_uc_limit 128 4.33/1.17 --bmc1_ucm_n_expand_iterations 6 4.33/1.17 --bmc1_ucm_extend_mode 1 4.33/1.17 --bmc1_ucm_init_mode 2 4.33/1.17 --bmc1_ucm_cone_mode none 4.33/1.17 --bmc1_ucm_reduced_relation_type 0 4.33/1.17 --bmc1_ucm_relax_model 4 4.33/1.17 --bmc1_ucm_full_tr_after_sat true 4.33/1.17 --bmc1_ucm_expand_neg_assumptions false 4.33/1.17 --bmc1_ucm_layered_model none 4.33/1.17 --bmc1_ucm_max_lemma_size 10 4.33/1.17 4.33/1.17 ------ AIG Options 4.33/1.17 4.33/1.17 --aig_mode false 4.33/1.17 4.33/1.17 ------ Instantiation Options 4.33/1.17 4.33/1.17 --instantiation_flag true 4.33/1.17 --inst_sos_flag false 4.33/1.17 --inst_sos_phase true 4.33/1.17 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 4.33/1.17 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 4.33/1.17 --inst_lit_sel_side num_symb 4.33/1.17 --inst_solver_per_active 1400 4.33/1.17 --inst_solver_calls_frac 1. 4.33/1.17 --inst_to_smt_solver true 4.33/1.17 --inst_passive_queue_type priority_queues 4.33/1.17 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 4.33/1.17 --inst_passive_queues_freq [25;2] 4.33/1.17 --inst_dismatching true 4.33/1.17 --inst_eager_unprocessed_to_passive true 4.33/1.17 --inst_unprocessed_bound 1000 4.33/1.17 --inst_prop_sim_given true 4.33/1.17 --inst_prop_sim_new false 4.33/1.17 --inst_subs_new false 4.33/1.17 --inst_eq_res_simp false 4.33/1.17 --inst_subs_given false 4.33/1.17 --inst_orphan_elimination true 4.33/1.17 --inst_learning_loop_flag true 4.33/1.17 --inst_learning_start 3000 4.33/1.17 --inst_learning_factor 2 4.33/1.17 --inst_start_prop_sim_after_learn 3 4.33/1.17 --inst_sel_renew solver 4.33/1.17 --inst_lit_activity_flag true 4.33/1.17 --inst_restr_to_given false 4.33/1.17 --inst_activity_threshold 500 4.33/1.17 4.33/1.17 ------ Resolution Options 4.33/1.17 4.33/1.17 --resolution_flag false 4.33/1.17 --res_lit_sel adaptive 4.33/1.17 --res_lit_sel_side none 4.33/1.17 --res_ordering kbo 4.33/1.17 --res_to_prop_solver active 4.33/1.17 --res_prop_simpl_new false 4.33/1.17 --res_prop_simpl_given true 4.33/1.17 --res_to_smt_solver true 4.33/1.17 --res_passive_queue_type priority_queues 4.33/1.17 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 4.33/1.17 --res_passive_queues_freq [15;5] 4.33/1.17 --res_forward_subs full 4.33/1.17 --res_backward_subs full 4.33/1.17 --res_forward_subs_resolution true 4.33/1.17 --res_backward_subs_resolution true 4.33/1.17 --res_orphan_elimination true 4.33/1.17 --res_time_limit 300. 4.33/1.17 4.33/1.17 ------ Superposition Options 4.33/1.17 4.33/1.17 --superposition_flag false 4.33/1.17 --sup_passive_queue_type priority_queues 4.33/1.17 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]] 4.33/1.17 --sup_passive_queues_freq [8;1;4;4] 4.33/1.17 --demod_completeness_check fast 4.33/1.17 --demod_use_ground true 4.33/1.17 --sup_unprocessed_bound 0 4.33/1.17 --sup_to_prop_solver passive 4.33/1.17 --sup_prop_simpl_new true 4.33/1.17 --sup_prop_simpl_given true 4.33/1.17 --sup_fun_splitting false 4.33/1.17 --sup_iter_deepening 2 4.33/1.17 --sup_restarts_mult 12 4.33/1.17 --sup_score sim_d_gen 4.33/1.17 --sup_share_score_frac 0.2 4.33/1.17 --sup_share_max_num_cl 500 4.33/1.17 --sup_ordering kbo 4.33/1.17 --sup_symb_ordering invfreq 4.33/1.17 --sup_term_weight default 4.33/1.17 4.33/1.17 ------ Superposition Simplification Setup 4.33/1.17 4.33/1.17 --sup_indices_passive [LightNormIndex;FwDemodIndex] 4.33/1.17 --sup_full_triv [SMTSimplify;PropSubs] 4.33/1.17 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.33/1.17 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.33/1.17 --sup_immed_triv [] 4.33/1.17 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 4.33/1.17 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 4.33/1.17 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 4.33/1.17 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.33/1.17 --sup_input_triv [Unflattening;SMTSimplify] 4.33/1.17 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.33/1.17 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.33/1.17 --sup_full_fixpoint true 4.33/1.17 --sup_main_fixpoint true 4.33/1.17 --sup_immed_fixpoint false 4.33/1.17 --sup_input_fixpoint true 4.33/1.17 --sup_cache_sim none 4.33/1.17 --sup_smt_interval 500 4.33/1.17 --sup_bw_gjoin_interval 0 4.33/1.17 4.33/1.17 ------ Combination Options 4.33/1.17 4.33/1.17 --comb_mode clause_based 4.33/1.17 --comb_inst_mult 5 4.33/1.17 --comb_res_mult 1 4.33/1.17 --comb_sup_mult 8 4.33/1.17 --comb_sup_deep_mult 2 4.33/1.17 4.33/1.17 ------ Debug Options 4.33/1.17 4.33/1.17 --dbg_backtrace false 4.33/1.17 --dbg_dump_prop_clauses false 4.33/1.17 --dbg_dump_prop_clauses_file - 4.33/1.17 --dbg_out_stat false 4.33/1.17 --dbg_just_parse false 4.33/1.17 4.33/1.17 4.33/1.17 4.33/1.17 4.33/1.17 ------ Proving... 4.33/1.17 4.33/1.17 ------ Trying domains of size >= : 2 4.33/1.17 4.33/1.17 4.33/1.17 ------ Proving... 4.33/1.17 4.33/1.17 4.33/1.17 % SZS status Satisfiable for theBenchmark.p 4.33/1.17 4.33/1.17 ------ Building Model...Done 4.33/1.17 4.33/1.17 %------ The model is defined over ground terms (initial term algebra). 4.33/1.17 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 4.33/1.17 %------ where \phi is a formula over the term algebra. 4.33/1.17 %------ If we have equality in the problem then it is also defined as a predicate above, 4.33/1.17 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 4.33/1.17 %------ See help for --sat_out_model for different model outputs. 4.33/1.17 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 4.33/1.17 %------ where the first argument stands for the sort ($i in the unsorted case) 4.33/1.17 % SZS output start Model for theBenchmark.p 4.33/1.17 4.33/1.17 %------ Positive definition of '$ki_accessible' 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( '$ki_accessible'(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 & 4.33/1.17 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 | 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_2 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 | 4.33/1.17 ( 4.33/1.17 ( X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 & 4.33/1.17 ( X0_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of r2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( r2(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of r3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( r3(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of r4 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( r4(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of r5 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( r5(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of equivalence_1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( equivalence_1(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of equivalence_2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( equivalence_2(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of cn2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( cn2(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of cn1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( cn1(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of cn3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( cn3(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of kn2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( kn2(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of kn1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( kn1(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of kn3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( kn3(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of equivalence_3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( equivalence_3(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of op_implies_or 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( op_implies_or(X0_13) <=> 4.33/1.17 $false 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of op_and 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( op_and(X0_13) <=> 4.33/1.17 $false 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of and_2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( and_2(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of and_3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( and_3(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of and_1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( and_1(X0_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of implies_2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( implies_2(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of implies_3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( implies_3(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of op_implies_and 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( op_implies_and(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of implies_1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( implies_1(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of substitution_of_equivalents 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( substitution_of_equivalents(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of op_or 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( op_or(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of modus_tollens 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( modus_tollens(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of or_1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( or_1(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of or_2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( or_2(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of or_3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( or_3(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of op_equiv 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( op_equiv(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of modus_ponens 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( modus_ponens(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of op_implies 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( op_implies(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of r1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( r1(X0_13) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of qmltpeq 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X0,X1] : 4.33/1.17 ( qmltpeq(X0_13,X0,X1) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of is_a_theorem 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X0] : 4.33/1.17 ( is_a_theorem(X0_13,X0) <=> 4.33/1.17 $true 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of '$ki_exists_in_world_$i' 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X0] : 4.33/1.17 ( '$ki_exists_in_world_$i'(X0_13,X0) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 | 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of sP0 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( sP0(X0_13) <=> 4.33/1.17 $false 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_'$ki_local_world' 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13] : 4.33/1.17 ( iProver_Flat_'$ki_local_world'(X0_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK1 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X0,X1,X1_13] : 4.33/1.17 ( iProver_Flat_sK1(X0_13,X0,X1,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK2 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK2(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK3 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK3(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK4 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0,X0_13] : 4.33/1.17 ( iProver_Flat_sK4(X0,X0_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0=iProver_Domain_i_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK5 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK5(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 & 4.33/1.17 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 | 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK6 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0,X0_13] : 4.33/1.17 ( iProver_Flat_sK6(X0,X0_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0=iProver_Domain_i_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK7 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK7(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 & 4.33/1.17 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 | 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK8 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK8(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK9 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0,X0_13] : 4.33/1.17 ( iProver_Flat_sK9(X0,X0_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0=iProver_Domain_i_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK10 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK10(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK11 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0,X0_13] : 4.33/1.17 ( iProver_Flat_sK11(X0,X0_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0=iProver_Domain_i_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK12 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK12(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK13 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0,X0_13] : 4.33/1.17 ( iProver_Flat_sK13(X0,X0_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0=iProver_Domain_i_1 ) 4.33/1.17 ) 4.33/1.17 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ) 4.33/1.17 ). 4.33/1.17 4.33/1.17 %------ Positive definition of iProver_Flat_sK14 4.33/1.17 fof(lit_def,axiom, 4.33/1.17 (! [X0_13,X1_13] : 4.33/1.17 ( iProver_Flat_sK14(X0_13,X1_13) <=> 4.33/1.17 ( 4.33/1.17 ( 4.33/1.17 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.17 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK15 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK15(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_2 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK16 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK16(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK17 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK17(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK18 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK18(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK19 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK19(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK20 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK20(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK21 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK21(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK22 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK22(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK23 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK23(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK24 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK24(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK25 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK25(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK26 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK26(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK27 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK27(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK28 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK28(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK29 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK29(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK30 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK30(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK31 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK31(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK32 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK32(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK33 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK33(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK34 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK34(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK35 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK35(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK36 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK36(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK37 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK37(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK38 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK38(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK39 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK39(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK40 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK40(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK41 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK41(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK42 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK42(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK43 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK43(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK44 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK44(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK45 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK45(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK46 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK46(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK47 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK47(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK48 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK48(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK49 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK49(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK50 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK50(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK51 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK51(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK52 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK52(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK53 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK53(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_2 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK54 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK54(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK55 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK55(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK56 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK56(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK57 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK57(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK58 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK58(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK59 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK59(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK60 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK60(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK61 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK61(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK62 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK62(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK63 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK63(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK64 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK64(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK65 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK65(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK66 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK66(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK67 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK67(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK68 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK68(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK69 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK69(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK70 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK70(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK71 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK71(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK72 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1_13] : 4.33/1.18 ( iProver_Flat_sK72(X0_13,X0,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK73 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK73(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK74 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK74(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK75 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK75(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK76 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK76(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK77 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK77(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK78 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK78(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK79 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK79(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK80 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK80(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK81 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK81(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK82 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK82(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK83 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK83(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK84 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK84(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK85 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK85(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK86 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK86(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK87 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK87(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK88 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK88(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK89 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK89(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK90 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK90(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK91 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK91(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK92 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK92(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK93 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK93(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK94 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK94(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 | X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK95 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1_13] : 4.33/1.18 ( iProver_Flat_sK95(X0_13,X0,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK96 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13] : 4.33/1.18 ( iProver_Flat_sK96(X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK97 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK97(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK98 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK98(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_2 ) 4.33/1.18 & 4.33/1.18 ( X0_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK99 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK99(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK100 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK100(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_2 ) 4.33/1.18 & 4.33/1.18 ( X0_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_2 & X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK101 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK101(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X1_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_2 ) 4.33/1.18 & 4.33/1.18 ( X1_13!=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK102 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK102(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK103 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK103(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK104 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK104(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK105 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK105(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK106 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK106(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK107 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK107(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK108 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK108(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK109 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK109(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK110 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK110(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK111 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK111(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK112 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK112(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK113 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK113(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK114 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK114(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK115 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK115(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK116 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK116(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK117 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK117(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK118 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK118(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK119 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK119(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK120 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK120(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK121 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK121(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK122 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK122(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK123 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK123(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK124 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK124(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X0!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK125 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK125(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK126 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK126(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK127 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK127(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK128 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK128(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK129 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK129(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK130 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK130(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK131 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK131(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK132 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK132(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK133 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK133(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK134 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK134(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK135 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK135(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK136 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK136(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK137 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK137(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK138 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK138(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK139 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK139(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK140 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK140(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK141 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK141(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK142 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK142(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK143 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK143(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK144 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK144(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK145 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK145(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK146 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK146(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK147 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK147(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK148 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK148(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK149 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK149(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK150 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK150(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK151 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK151(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK152 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK152(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK153 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK153(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK154 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK154(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK155 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK155(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK156 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK156(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK157 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK157(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK158 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK158(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK159 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK159(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK160 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK160(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK161 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK161(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK162 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK162(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK163 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK163(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK164 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK164(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK165 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK165(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK166 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK166(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK167 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK167(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK168 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK168(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK169 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK169(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK170 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK170(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK171 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK171(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK172 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK172(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK173 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK173(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK174 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK174(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK175 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK175(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK176 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK176(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK177 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK177(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK178 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK178(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK179 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK179(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK180 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK180(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK181 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK181(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK182 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X0,X1,X1_13] : 4.33/1.18 ( iProver_Flat_sK182(X0_13,X0,X1,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK183 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK183(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK184 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK184(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK185 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK185(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK186 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK186(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK187 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X0_13] : 4.33/1.18 ( iProver_Flat_sK187(X0,X0_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK188 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK188(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_sK189 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0_13,X1_13] : 4.33/1.18 ( iProver_Flat_sK189(X0_13,X1_13) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0_13=iProver_Domain_'ki_world'_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_implies 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X1,X2] : 4.33/1.18 ( iProver_Flat_implies(X0,X1,X2) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_2 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_2 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_2 | X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 & X2=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_not 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X1] : 4.33/1.18 ( iProver_Flat_not(X0,X1) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_and 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X1,X2] : 4.33/1.18 ( iProver_Flat_and(X0,X1,X2) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_2 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_2 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_or 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X1,X2] : 4.33/1.18 ( iProver_Flat_or(X0,X1,X2) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 4.33/1.18 %------ Positive definition of iProver_Flat_equiv 4.33/1.18 fof(lit_def,axiom, 4.33/1.18 (! [X0,X1,X2] : 4.33/1.18 ( iProver_Flat_equiv(X0,X1,X2) <=> 4.33/1.18 ( 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 | X2!=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X2!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 | 4.33/1.18 ( 4.33/1.18 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.33/1.18 & 4.33/1.18 ( X1!=iProver_Domain_i_1 ) 4.33/1.18 ) 4.33/1.18 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ) 4.33/1.18 ). 4.33/1.18 % SZS output end Model for theBenchmark.p 4.33/1.18 4.33/1.20 EOF