0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_iprover 120 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT 0.10/0.31 % Computer : n029.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Wed Jul 30 06:35:34 EDT 2025 0.10/0.31 % CPUTime : 0.17/0.41 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.17/0.42 Running model finding 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s fnt_schedule -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.42 0.17/0.42 % ======== iProver multi-core TPTP/SMT ========= 0.17/0.42 0.17/0.42 % Detected problem language: tptp 0.17/0.43 % Checking... 0.43/1.13 % Proving... 4.38/1.84 % SZS status Started for theBenchmark.p 4.38/1.84 % SZS status Satisfiable for theBenchmark.p 4.38/1.84 4.38/1.84 %---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------% 4.38/1.84 4.38/1.84 ------ iProver source info 4.38/1.84 4.38/1.84 git: date: 2025-07-21 10:15:00 +0000 4.38/1.84 git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f 4.38/1.84 git: non_committed_changes: true 4.38/1.84 4.38/1.84 ------ Parsing... 4.38/1.84 ------ Clausification by vclausify_rel & Parsing by iProver... 4.38/1.84 ------ Proving... 4.38/1.84 ------ Problem Properties 4.38/1.84 4.38/1.84 4.38/1.84 clauses 60 4.38/1.84 conjectures 8 4.38/1.84 EPR 10 4.38/1.84 Horn 33 4.38/1.84 unary 12 4.38/1.84 binary 3 4.38/1.84 lits 443 4.38/1.84 lits eq 0 4.38/1.84 fd_pure 0 4.38/1.84 fd_pseudo 0 4.38/1.84 fd_cond 0 4.38/1.84 fd_pseudo_cond 0 4.38/1.84 AC symbols 0 4.38/1.84 4.38/1.84 ------ Input Options Time Limit: Unbounded 4.38/1.84 4.38/1.84 4.38/1.84 ------ Finite Models: 4.38/1.84 4.38/1.84 ------ lit_activity_flag true 4.38/1.84 4.38/1.84 4.38/1.84 ------ Trying domains of size >= : 1 4.38/1.84 4.38/1.84 ------ Trying domains of size >= : 2 4.38/1.84 4.38/1.84 ------ Trying domains of size >= : 2 4.38/1.84 ------ 4.38/1.84 Current options: 4.38/1.84 ------ 4.38/1.84 4.38/1.84 ------ Input Options 4.38/1.84 4.38/1.84 --out_options all 4.38/1.84 --tptp_safe_out true 4.38/1.84 --problem_path "" 4.38/1.84 --include_path "" 4.38/1.84 --clausifier res/vclausify_rel 4.38/1.84 --clausifier_options --mode tclausify --show_fool true -t 41.66 -updr off 4.38/1.84 --stdin false 4.38/1.84 --proof_out true 4.38/1.84 --proof_dot_file "" 4.38/1.84 --proof_reduce_dot [] 4.38/1.84 --suppress_sat_res false 4.38/1.84 --suppress_unsat_res true 4.38/1.84 --stats_out none 4.38/1.84 --stats_mem false 4.38/1.84 --theory_stats_out false 4.38/1.84 4.38/1.84 ------ General Options 4.38/1.84 4.38/1.84 --fof false 4.38/1.84 --time_out_real 124.99 4.38/1.84 --time_out_virtual -1. 4.38/1.84 --rnd_seed 13 4.38/1.84 --symbol_type_check false 4.38/1.84 --clausify_out false 4.38/1.84 --sig_cnt_out false 4.38/1.84 --trig_cnt_out false 4.38/1.84 --trig_cnt_out_tolerance 1. 4.38/1.84 --trig_cnt_out_sk_spl false 4.38/1.84 --abstr_cl_out false 4.38/1.84 4.38/1.84 ------ Interactive Mode 4.38/1.84 4.38/1.84 --interactive_mode false 4.38/1.84 --external_ip_address "" 4.38/1.84 --external_port 0 4.38/1.84 4.38/1.84 ------ Global Options 4.38/1.84 4.38/1.84 --schedule none 4.38/1.84 --add_important_lit false 4.38/1.84 --prop_solver_per_cl 500 4.38/1.84 --subs_bck_mult 8 4.38/1.84 --min_unsat_core false 4.38/1.84 --soft_assumptions false 4.38/1.84 --soft_lemma_size 3 4.38/1.84 --prop_impl_unit_size 0 4.38/1.84 --prop_impl_unit [] 4.38/1.84 --share_sel_clauses true 4.38/1.84 --reset_solvers false 4.38/1.84 --bc_imp_inh [conj_cone] 4.38/1.84 --conj_cone_tolerance 3. 4.38/1.84 --extra_neg_conj none 4.38/1.84 --large_theory_mode true 4.38/1.84 --prolific_symb_bound 200 4.38/1.84 --lt_threshold 2000 4.38/1.84 --clause_weak_htbl true 4.38/1.84 --gc_record_bc_elim false 4.38/1.84 4.38/1.84 ------ Preprocessing Options 4.38/1.84 4.38/1.84 --preprocessing_flag false 4.38/1.84 --time_out_prep_mult 0.1 4.38/1.84 --splitting_mode input 4.38/1.84 --splitting_grd true 4.38/1.84 --splitting_cvd false 4.38/1.84 --splitting_cvd_svl false 4.38/1.84 --splitting_nvd 32 4.38/1.84 --sub_typing false 4.38/1.84 --prep_eq_flat_conj false 4.38/1.84 --prep_eq_flat_all_gr false 4.38/1.84 --prep_gs_sim true 4.38/1.84 --prep_unflatten true 4.38/1.84 --prep_res_sim true 4.38/1.84 --prep_sup_sim_all true 4.38/1.84 --prep_sup_sim_sup false 4.38/1.84 --prep_upred true 4.38/1.84 --prep_well_definedness true 4.38/1.84 --prep_sem_filter exhaustive 4.38/1.84 --prep_sem_filter_out false 4.38/1.84 --pred_elim true 4.38/1.84 --res_sim_input true 4.38/1.84 --eq_ax_congr_red true 4.38/1.84 --pure_diseq_elim true 4.38/1.84 --brand_transform false 4.38/1.84 --non_eq_to_eq false 4.38/1.84 --prep_def_merge true 4.38/1.84 --prep_def_merge_prop_impl false 4.38/1.84 --prep_def_merge_mbd true 4.38/1.84 --prep_def_merge_tr_red false 4.38/1.84 --prep_def_merge_tr_cl false 4.38/1.84 --smt_preprocessing false 4.38/1.84 --smt_ac_axioms fast 4.38/1.84 --preprocessed_out false 4.38/1.84 --preprocessed_stats false 4.38/1.84 4.38/1.84 ------ Abstraction refinement Options 4.38/1.84 4.38/1.84 --abstr_ref [] 4.38/1.84 --abstr_ref_prep false 4.38/1.84 --abstr_ref_until_sat false 4.38/1.84 --abstr_ref_sig_restrict funpre 4.38/1.84 --abstr_ref_af_restrict_to_split_sk false 4.38/1.84 --abstr_ref_under [] 4.38/1.84 4.38/1.84 ------ SAT Options 4.38/1.84 4.38/1.84 --sat_mode true 4.38/1.84 --sat_fm_restart_options "" 4.38/1.84 --sat_gr_def false 4.38/1.84 --sat_epr_types false 4.38/1.84 --sat_non_cyclic_types true 4.38/1.84 --sat_finite_models true 4.38/1.84 --sat_fm_lemmas false 4.38/1.84 --sat_fm_prep false 4.38/1.84 --sat_fm_uc_incr true 4.38/1.84 --sat_out_model pos 4.38/1.84 --sat_out_clauses false 4.38/1.84 4.38/1.84 ------ QBF Options 4.38/1.84 4.38/1.84 --qbf_mode false 4.38/1.84 --qbf_elim_univ false 4.38/1.84 --qbf_dom_inst none 4.38/1.84 --qbf_dom_pre_inst false 4.38/1.84 --qbf_sk_in false 4.38/1.84 --qbf_pred_elim true 4.38/1.84 --qbf_split 512 4.38/1.84 4.38/1.84 ------ BMC1 Options 4.38/1.84 4.38/1.84 --bmc1_incremental false 4.38/1.84 --bmc1_axioms reachable_all 4.38/1.84 --bmc1_min_bound 0 4.38/1.84 --bmc1_max_bound -1 4.38/1.84 --bmc1_max_bound_default -1 4.38/1.84 --bmc1_symbol_reachability true 4.38/1.84 --bmc1_property_lemmas false 4.38/1.84 --bmc1_k_induction false 4.38/1.84 --bmc1_non_equiv_states false 4.38/1.84 --bmc1_deadlock false 4.38/1.84 --bmc1_ucm false 4.38/1.84 --bmc1_add_unsat_core none 4.38/1.84 --bmc1_unsat_core_children false 4.38/1.84 --bmc1_unsat_core_extrapolate_axioms false 4.38/1.84 --bmc1_out_stat full 4.38/1.84 --bmc1_ground_init false 4.38/1.84 --bmc1_pre_inst_next_state false 4.38/1.84 --bmc1_pre_inst_state false 4.38/1.84 --bmc1_pre_inst_reach_state false 4.38/1.84 --bmc1_out_unsat_core false 4.38/1.84 --bmc1_aig_witness_out false 4.38/1.84 --bmc1_verbose false 4.38/1.84 --bmc1_dump_clauses_tptp false 4.38/1.84 --bmc1_dump_unsat_core_tptp false 4.38/1.84 --bmc1_dump_file - 4.38/1.84 --bmc1_ucm_expand_uc_limit 128 4.38/1.84 --bmc1_ucm_n_expand_iterations 6 4.38/1.84 --bmc1_ucm_extend_mode 1 4.38/1.84 --bmc1_ucm_init_mode 2 4.38/1.84 --bmc1_ucm_cone_mode none 4.38/1.84 --bmc1_ucm_reduced_relation_type 0 4.38/1.84 --bmc1_ucm_relax_model 4 4.38/1.84 --bmc1_ucm_full_tr_after_sat true 4.38/1.84 --bmc1_ucm_expand_neg_assumptions false 4.38/1.84 --bmc1_ucm_layered_model none 4.38/1.84 --bmc1_ucm_max_lemma_size 10 4.38/1.84 4.38/1.84 ------ AIG Options 4.38/1.84 4.38/1.84 --aig_mode false 4.38/1.84 4.38/1.84 ------ Instantiation Options 4.38/1.84 4.38/1.84 --instantiation_flag true 4.38/1.84 --inst_sos_flag false 4.38/1.84 --inst_sos_phase true 4.38/1.84 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 4.38/1.84 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 4.38/1.84 --inst_lit_sel_side num_symb 4.38/1.84 --inst_solver_per_active 1400 4.38/1.84 --inst_solver_calls_frac 1. 4.38/1.84 --inst_to_smt_solver true 4.38/1.84 --inst_passive_queue_type priority_queues 4.38/1.84 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 4.38/1.84 --inst_passive_queues_freq [25;2] 4.38/1.84 --inst_dismatching true 4.38/1.84 --inst_eager_unprocessed_to_passive true 4.38/1.84 --inst_unprocessed_bound 1000 4.38/1.84 --inst_prop_sim_given true 4.38/1.84 --inst_prop_sim_new false 4.38/1.84 --inst_subs_new false 4.38/1.84 --inst_eq_res_simp false 4.38/1.84 --inst_subs_given false 4.38/1.84 --inst_orphan_elimination true 4.38/1.84 --inst_learning_loop_flag true 4.38/1.84 --inst_learning_start 3000 4.38/1.84 --inst_learning_factor 2 4.38/1.84 --inst_start_prop_sim_after_learn 3 4.38/1.84 --inst_sel_renew solver 4.38/1.84 --inst_lit_activity_flag true 4.38/1.84 --inst_restr_to_given false 4.38/1.84 --inst_activity_threshold 500 4.38/1.84 4.38/1.84 ------ Resolution Options 4.38/1.84 4.38/1.84 --resolution_flag false 4.38/1.84 --res_lit_sel adaptive 4.38/1.84 --res_lit_sel_side none 4.38/1.84 --res_ordering kbo 4.38/1.84 --res_to_prop_solver active 4.38/1.84 --res_prop_simpl_new false 4.38/1.84 --res_prop_simpl_given true 4.38/1.84 --res_to_smt_solver true 4.38/1.84 --res_passive_queue_type priority_queues 4.38/1.84 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 4.38/1.84 --res_passive_queues_freq [15;5] 4.38/1.84 --res_forward_subs full 4.38/1.84 --res_backward_subs full 4.38/1.84 --res_forward_subs_resolution true 4.38/1.84 --res_backward_subs_resolution true 4.38/1.84 --res_orphan_elimination true 4.38/1.84 --res_time_limit 300. 4.38/1.84 4.38/1.84 ------ Superposition Options 4.38/1.84 4.38/1.84 --superposition_flag false 4.38/1.84 --sup_passive_queue_type priority_queues 4.38/1.84 --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]] 4.38/1.84 --sup_passive_queues_freq [8;1;4;4] 4.38/1.84 --demod_completeness_check fast 4.38/1.84 --demod_use_ground true 4.38/1.84 --sup_unprocessed_bound 0 4.38/1.84 --sup_to_prop_solver passive 4.38/1.84 --sup_prop_simpl_new true 4.38/1.84 --sup_prop_simpl_given true 4.38/1.84 --sup_fun_splitting false 4.38/1.84 --sup_iter_deepening 2 4.38/1.84 --sup_restarts_mult 12 4.38/1.84 --sup_score sim_d_gen 4.38/1.84 --sup_share_score_frac 0.2 4.38/1.84 --sup_share_max_num_cl 500 4.38/1.84 --sup_ordering kbo 4.38/1.84 --sup_symb_ordering invfreq 4.38/1.84 --sup_term_weight default 4.38/1.84 4.38/1.84 ------ Superposition Simplification Setup 4.38/1.84 4.38/1.84 --sup_indices_passive [LightNormIndex;FwDemodIndex] 4.38/1.84 --sup_full_triv [SMTSimplify;PropSubs] 4.38/1.84 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.38/1.84 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.38/1.84 --sup_immed_triv [] 4.38/1.84 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 4.38/1.84 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 4.38/1.84 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 4.38/1.84 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.38/1.84 --sup_input_triv [Unflattening;SMTSimplify] 4.38/1.84 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 4.38/1.84 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.38/1.84 --sup_full_fixpoint true 4.38/1.84 --sup_main_fixpoint true 4.38/1.84 --sup_immed_fixpoint false 4.38/1.84 --sup_input_fixpoint true 4.38/1.84 --sup_cache_sim none 4.38/1.84 --sup_smt_interval 500 4.38/1.84 --sup_bw_gjoin_interval 0 4.38/1.84 4.38/1.84 ------ Combination Options 4.38/1.84 4.38/1.84 --comb_mode clause_based 4.38/1.84 --comb_inst_mult 5 4.38/1.84 --comb_res_mult 1 4.38/1.84 --comb_sup_mult 8 4.38/1.84 --comb_sup_deep_mult 2 4.38/1.84 4.38/1.84 ------ Debug Options 4.38/1.84 4.38/1.84 --dbg_backtrace false 4.38/1.84 --dbg_dump_prop_clauses false 4.38/1.84 --dbg_dump_prop_clauses_file - 4.38/1.84 --dbg_out_stat false 4.38/1.84 --dbg_just_parse false 4.38/1.84 4.38/1.84 4.38/1.84 4.38/1.84 4.38/1.84 ------ Proving... 4.38/1.84 4.38/1.84 ------ Trying domains of size >= : 2 4.38/1.84 4.38/1.84 4.38/1.84 ------ Proving... 4.38/1.84 4.38/1.84 ------ Trying domains of size >= : 2 4.38/1.84 4.38/1.84 4.38/1.84 ------ Proving... 4.38/1.84 4.38/1.84 ------ Trying domains of size >= : 2 4.38/1.84 4.38/1.84 4.38/1.84 ------ Proving... 4.38/1.84 4.38/1.84 4.38/1.84 % SZS status Satisfiable for theBenchmark.p 4.38/1.84 4.38/1.84 ------ Building Model...Done 4.38/1.84 4.38/1.84 %------ The model is defined over ground terms (initial term algebra). 4.38/1.84 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 4.38/1.84 %------ where \phi is a formula over the term algebra. 4.38/1.84 %------ If we have equality in the problem then it is also defined as a predicate above, 4.38/1.84 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type 4.38/1.84 %------ See help for --sat_out_model for different model outputs. 4.38/1.84 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" 4.38/1.84 %------ where the first argument stands for the sort ($i in the unsorted case) 4.38/1.84 % SZS output start Model for theBenchmark.p 4.38/1.84 4.38/1.84 %------ Positive definition of '$ki_accessible' 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X1_'ki_world'] : 4.38/1.84 ( '$ki_accessible'(X0_'ki_world',X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_2 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of qmltpeq 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1] : 4.38/1.84 ( qmltpeq(X0_'ki_world',X0,X1) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X1=X0 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of in 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1] : 4.38/1.84 ( in(X0_'ki_world',X0,X1) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of disjoint 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1] : 4.38/1.84 ( disjoint(X0_'ki_world',X0,X1) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_2 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of empty 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0] : 4.38/1.84 ( empty(X0_'ki_world',X0) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of '$ki_exists_in_world 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0] : 4.38/1.84 ( '$ki_exists_in_world(X0_'ki_world',X0) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_2 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_'$ki_local_world' 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world'] : 4.38/1.84 ( iProver_Flat_'$ki_local_world'(X0_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK0 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK0(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK2 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK2(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK3 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK3(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK4 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK4(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK5 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK5(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK6 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK6(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK7 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK7(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK8 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK8(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK9 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK9(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK10 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK10(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK11 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK11(X0_'ki_world',X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_2 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK12 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0,X0_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK12(X0,X0_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_2 & X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK13 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK13(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK14 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK14(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK15 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK15(X0_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_2 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK17 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK17(X0_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_2 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK19 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK19(X0_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK20 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK20(X0_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK22 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK22(X0_'ki_world',X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK23 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK23(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_2 | X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK24 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK24(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( 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 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK25 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK25(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK26 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK26(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK27 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK27(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK28 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK28(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 | X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK29 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK29(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X1_'ki_world'!=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X0=iProver_Domain_i_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X0!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 & X1_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK30 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK30(X0_'ki_world',X0,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK31 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0_'ki_world',X0,X1,X1_'ki_world'] : 4.38/1.84 ( iProver_Flat_sK31(X0_'ki_world',X0,X1,X1_'ki_world') <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0_'ki_world'=iProver_Domain_'ki_world'_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_set_intersection2 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0,X1,X2] : 4.38/1.84 ( iProver_Flat_set_intersection2(X0,X1,X2) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 ) 4.38/1.84 & 4.38/1.84 ( X2!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 & X2=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK1 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0] : 4.38/1.84 ( iProver_Flat_sK1(X0) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_2 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_singleton 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0,X1] : 4.38/1.84 ( iProver_Flat_singleton(X0,X1) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_2 ) 4.38/1.84 & 4.38/1.84 ( X1!=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 | 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_2 & X1=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK16 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0] : 4.38/1.84 ( iProver_Flat_sK16(X0) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK18 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0] : 4.38/1.84 ( iProver_Flat_sK18(X0) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_1 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 4.38/1.84 %------ Positive definition of iProver_Flat_sK21 4.38/1.84 fof(lit_def,axiom, 4.38/1.84 (! [X0] : 4.38/1.84 ( iProver_Flat_sK21(X0) <=> 4.38/1.84 ( 4.38/1.84 ( 4.38/1.84 ( X0=iProver_Domain_i_2 ) 4.38/1.84 ) 4.38/1.84 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ) 4.38/1.84 ). 4.38/1.84 % SZS output end Model for theBenchmark.p 4.38/1.84 4.41/1.93 EOF