%------------------------------------------------------------------------------ % File : iProver-SAT---3.9.4 % Problem : NLP032-1 : TPTP v9.3.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 25 02:17:06 PM UTC 2026 % Result : Satisfiable 2.69s 22.84s % Output : Model 2.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NLP032-1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.08/0.34 % Computer : n011.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/20.42 % CPULimit : 300 % 0.08/20.42 % WCLimit : 300 % 0.08/20.42 % DateTime : Thu Sep 24 01:43:41 UTC 2026 % 0.08/20.43 % CPUTime : % 0.08/20.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT % 0.08/20.46 Running model finding % 0.08/20.46 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/20.47 % 0.08/20.47 % ======== iProver multi-core TPTP/SMT ========= % 0.08/20.47 % 0.08/20.47 % Detected problem language: tptp % 0.08/20.48 % Proving... % 2.69/22.84 % SZS status Started for theBenchmark.p % 2.69/22.84 % SZS status Satisfiable for theBenchmark.p % 2.69/22.84 % 2.69/22.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% % 2.69/22.84 % 2.69/22.84 ------ iProver source info % 2.69/22.84 % 2.69/22.84 git: date: 2026-07-19 20:42:38 +0200 % 2.69/22.84 git: sha1: 804e7d636a263075307957e923b7a22a4035de61 % 2.69/22.84 git: non_committed_changes: false % 2.69/22.84 % 2.69/22.84 ------ Parsing...successful % 2.69/22.84 % 2.69/22.84 % 2.69/22.84 ------ Clausification by vclausify_rel & Parsing by iProver... % 2.69/22.84 ------ Proving... % 2.69/22.84 ------ Problem Properties % 2.69/22.84 % 2.69/22.84 % 2.69/22.84 clauses 46 % 2.69/22.84 conjectures 46 % 2.69/22.84 EPR 8 % 2.69/22.84 Horn 36 % 2.69/22.84 unary 2 % 2.69/22.84 binary 8 % 2.69/22.84 lits 159 % 2.69/22.84 lits eq 0 % 2.69/22.84 fd_pure 0 % 2.69/22.84 fd_pseudo 0 % 2.69/22.84 fd_cond 0 % 2.69/22.84 fd_pseudo_cond 0 % 2.69/22.84 AC symbols 0 % 2.69/22.84 % 2.69/22.84 ------ Schedule Sat is on % 2.69/22.84 % 2.69/22.84 ------ no equalities: superposition off % 2.69/22.84 % 2.69/22.84 ------ Input Options sat_mode off Time Limit: 30. % 2.69/22.84 % 2.69/22.84 % 2.69/22.84 ------ % 2.69/22.84 Current options: % 2.69/22.84 ------ % 2.69/22.84 % 2.69/22.84 ------ Input Options % 2.69/22.84 % 2.69/22.84 --out_options all % 2.69/22.84 --tptp_safe_out true % 2.69/22.84 --problem_path "" % 2.69/22.84 --include_path "" % 2.69/22.84 --clausifier res/vclausify_rel % 2.69/22.84 --clausifier_options --mode clausify -t 101.66 -updr off % 2.69/22.84 --stdin false % 2.69/22.84 --proof_out true % 2.69/22.84 --proof_dot_file "" % 2.69/22.84 --proof_reduce_dot [] % 2.69/22.84 --suppress_sat_res false % 2.69/22.84 --suppress_unsat_res true % 2.69/22.84 --stats_out none % 2.69/22.84 --stats_mem false % 2.69/22.84 --theory_stats_out false % 2.69/22.84 % 2.69/22.84 ------ General Options % 2.69/22.84 % 2.69/22.84 --fof false % 2.69/22.84 --time_out_real 304.99 % 2.69/22.84 --time_out_virtual -1. % 2.69/22.84 --rnd_seed 13 % 2.69/22.84 --symbol_type_check false % 2.69/22.84 --clausify_out false % 2.69/22.84 --sig_cnt_out false % 2.69/22.84 --trig_cnt_out false % 2.69/22.84 --trig_cnt_out_tolerance 1. % 2.69/22.84 --trig_cnt_out_sk_spl false % 2.69/22.84 --abstr_cl_out false % 2.69/22.84 % 2.69/22.84 ------ Interactive Mode % 2.69/22.84 % 2.69/22.84 --interactive_mode false % 2.69/22.84 --external_ip_address "" % 2.69/22.84 --external_port 0 % 2.69/22.84 % 2.69/22.84 ------ Global Options % 2.69/22.84 % 2.69/22.84 --schedule sat % 2.69/22.84 --add_important_lit false % 2.69/22.84 --prop_solver_per_cl 500 % 2.69/22.84 --subs_bck_mult 8 % 2.69/22.84 --min_unsat_core false % 2.69/22.84 --soft_assumptions false % 2.69/22.84 --soft_lemma_size 3 % 2.69/22.84 --prop_impl_unit_size 0 % 2.69/22.84 --prop_impl_unit [] % 2.69/22.84 --share_sel_clauses true % 2.69/22.84 --reset_solvers false % 2.69/22.85 --bc_imp_inh [conj_cone] % 2.69/22.85 --conj_cone_tolerance 3. % 2.69/22.85 --extra_neg_conj none % 2.69/22.85 --large_theory_mode true % 2.69/22.85 --prolific_symb_bound 200 % 2.69/22.85 --lt_threshold 2000 % 2.69/22.85 --clause_weak_htbl true % 2.69/22.85 --gc_record_bc_elim false % 2.69/22.85 % 2.69/22.85 ------ Preprocessing Options % 2.69/22.85 % 2.69/22.85 --preprocessing_flag false % 2.69/22.85 --time_out_prep_mult 0.1 % 2.69/22.85 --splitting_mode input % 2.69/22.85 --splitting_grd true % 2.69/22.85 --splitting_cvd false % 2.69/22.85 --splitting_cvd_svl false % 2.69/22.85 --splitting_nvd 32 % 2.69/22.85 --sub_typing false % 2.69/22.85 --prep_eq_flat_conj false % 2.69/22.85 --prep_ineq_split false % 2.69/22.85 --prep_eq_flat_all_gr false % 2.69/22.85 --prep_gs_sim true % 2.69/22.85 --prep_unflatten true % 2.69/22.85 --prep_res_sim true % 2.69/22.85 --prep_sup_sim_all true % 2.69/22.85 --prep_sup_sim_sup false % 2.69/22.85 --prep_upred true % 2.69/22.85 --prep_well_definedness true % 2.69/22.85 --prep_sem_filter exhaustive % 2.69/22.85 --prep_sem_filter_out false % 2.69/22.85 --pred_elim true % 2.69/22.85 --res_sim_input true % 2.69/22.85 --eq_ax_congr_red true % 2.69/22.85 --pure_diseq_elim true % 2.69/22.85 --brand_transform false % 2.69/22.85 --non_eq_to_eq false % 2.69/22.85 --prep_eq_proxy false % 2.69/22.85 --prep_def_merge true % 2.69/22.85 --prep_def_merge_prop_impl false % 2.69/22.85 --prep_def_merge_mbd true % 2.69/22.85 --prep_def_merge_tr_red false % 2.69/22.85 --prep_def_merge_tr_cl false % 2.69/22.85 --smt_preprocessing false % 2.69/22.85 --smt_ac_axioms fast % 2.69/22.85 --preprocessed_out false % 2.69/22.85 --preprocessed_stats false % 2.69/22.85 % 2.69/22.85 ------ Abstraction refinement Options % 2.69/22.85 % 2.69/22.85 --abstr_ref [] % 2.69/22.85 --abstr_ref_prep false % 2.69/22.85 --abstr_ref_until_sat false % 2.69/22.85 --abstr_ref_sig_restrict funpre % 2.69/22.85 --abstr_ref_af_restrict_to_split_sk false % 2.69/22.85 --abstr_ref_under [] % 2.69/22.85 % 2.69/22.85 ------ SAT Options % 2.69/22.85 % 2.69/22.85 --sat_mode false % 2.69/22.85 --sat_fm_restart_options "" % 2.69/22.85 --sat_gr_def false % 2.69/22.85 --sat_epr_types true % 2.69/22.85 --sat_non_cyclic_types false % 2.69/22.85 --sat_finite_models false % 2.69/22.85 --sat_fm_lemmas false % 2.69/22.85 --sat_fm_prep false % 2.69/22.85 --sat_fm_uc_incr true % 2.69/22.85 --sat_out_model small % 2.69/22.85 --sat_out_clauses false % 2.69/22.85 % 2.69/22.85 ------ QBF Options % 2.69/22.85 % 2.69/22.85 --qbf_mode false % 2.69/22.85 --qbf_elim_univ false % 2.69/22.85 --qbf_dom_inst none % 2.69/22.85 --qbf_dom_pre_inst false % 2.69/22.85 --qbf_sk_in false % 2.69/22.85 --qbf_pred_elim true % 2.69/22.85 --qbf_split 512 % 2.69/22.85 % 2.69/22.85 ------ BMC1 Options % 2.69/22.85 % 2.69/22.85 --bmc1_incremental false % 2.69/22.85 --bmc1_axioms reachable_all % 2.69/22.85 --bmc1_min_bound 0 % 2.69/22.85 --bmc1_max_bound -1 % 2.69/22.85 --bmc1_max_bound_default -1 % 2.69/22.85 --bmc1_symbol_reachability true % 2.69/22.85 --bmc1_property_lemmas false % 2.69/22.85 --bmc1_k_induction false % 2.69/22.85 --bmc1_non_equiv_states false % 2.69/22.85 --bmc1_deadlock false % 2.69/22.85 --bmc1_ucm false % 2.69/22.85 --bmc1_add_unsat_core none % 2.69/22.85 --bmc1_unsat_core_children false % 2.69/22.85 --bmc1_unsat_core_extrapolate_axioms false % 2.69/22.85 --bmc1_out_stat full % 2.69/22.85 --bmc1_ground_init false % 2.69/22.85 --bmc1_pre_inst_next_state false % 2.69/22.85 --bmc1_pre_inst_state false % 2.69/22.85 --bmc1_pre_inst_reach_state false % 2.69/22.85 --bmc1_out_unsat_core false % 2.69/22.85 --bmc1_aig_witness_out false % 2.69/22.85 --bmc1_verbose false % 2.69/22.85 --bmc1_dump_clauses_tptp false % 2.69/22.85 --bmc1_dump_unsat_core_tptp false % 2.69/22.85 --bmc1_dump_file - % 2.69/22.85 --bmc1_ucm_expand_uc_limit 128 % 2.69/22.85 --bmc1_ucm_n_expand_iterations 6 % 2.69/22.85 --bmc1_ucm_extend_mode 1 % 2.69/22.85 --bmc1_ucm_init_mode 2 % 2.69/22.85 --bmc1_ucm_cone_mode none % 2.69/22.85 --bmc1_ucm_reduced_relation_type 0 % 2.69/22.85 --bmc1_ucm_relax_model 4 % 2.69/22.85 --bmc1_ucm_full_tr_after_sat true % 2.69/22.85 --bmc1_ucm_expand_neg_assumptions false % 2.69/22.85 --bmc1_ucm_layered_model none % 2.69/22.85 --bmc1_ucm_max_lemma_size 10 % 2.69/22.85 % 2.69/22.85 ------ AIG Options % 2.69/22.85 % 2.69/22.85 --aig_mode false % 2.69/22.85 % 2.69/22.85 ------ Instantiation Options % 2.69/22.85 % 2.69/22.85 --instantiation_flag true % 2.69/22.85 --inst_sos_flag false % 2.69/22.85 --inst_sos_phase true % 2.69/22.85 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] % 2.69/22.85 --inst_lit_sel [-sign;+ground;-num_var;-num_symb] % 2.69/22.85 --inst_lit_sel_side num_symb % 2.69/22.85 --inst_solver_per_active 1400 % 2.69/22.85 --inst_solver_calls_frac 1. % 2.69/22.85 --inst_to_smt_solver true % 2.69/22.85 --inst_passive_queue_type priority_queues % 2.69/22.85 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] % 2.69/22.85 --inst_passive_queues_freq [25;2] % 2.69/22.85 --inst_dismatching true % 2.69/22.85 --inst_eager_unprocessed_to_passive true % 2.69/22.85 --inst_unprocessed_bound 1000 % 2.69/22.85 --inst_prop_sim_given true % 2.69/22.85 --inst_prop_sim_new false % 2.69/22.85 --inst_subs_new false % 2.69/22.85 --inst_eq_res_simp false % 2.69/22.85 --inst_subs_given false % 2.69/22.85 --inst_orphan_elimination true % 2.69/22.85 --inst_learning_loop_flag true % 2.69/22.85 --inst_learning_start 3000 % 2.69/22.85 --inst_learning_factor 2 % 2.69/22.85 --inst_start_prop_sim_after_learn 3 % 2.69/22.85 --inst_sel_renew solver % 2.69/22.85 --inst_lit_activity_flag true % 2.69/22.85 --inst_restr_to_given false % 2.69/22.85 --inst_activity_threshold 500 % 2.69/22.85 % 2.69/22.85 ------ Resolution Options % 2.69/22.85 % 2.69/22.85 --resolution_flag true % 2.69/22.85 --res_lit_sel neg_min % 2.69/22.85 --res_lit_sel_side none % 2.69/22.85 --res_ordering kbo % 2.69/22.85 --res_to_prop_solver active % 2.69/22.85 --res_prop_simpl_new false % 2.69/22.85 --res_prop_simpl_given true % 2.69/22.85 --res_to_smt_solver true % 2.69/22.85 --res_passive_queue_type priority_queues % 2.69/22.85 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] % 2.69/22.85 --res_passive_queues_freq [15;5] % 2.69/22.85 --res_forward_subs full % 2.69/22.85 --res_backward_subs full % 2.69/22.85 --res_forward_subs_resolution true % 2.69/22.85 --res_backward_subs_resolution true % 2.69/22.85 --res_orphan_elimination true % 2.69/22.85 --res_time_limit 300. % 2.69/22.85 % 2.69/22.85 ------ Superposition Options % 2.69/22.85 % 2.69/22.85 --superposition_flag true % 2.69/22.85 --sup_passive_queue_type priority_queues % 2.69/22.85 --sup_passive_queues [[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]] % 2.69/22.85 --sup_passive_queues_freq [1;1;1] % 2.69/22.85 --twee_lhs_weight 4 % 2.69/22.85 --sup_set_join false % 2.69/22.85 --sup_set_join_goals true % 2.69/22.85 --sup_set_join_limit 1000 % 2.69/22.85 --demod_completeness_check fast % 2.69/22.85 --demod_use_ground true % 2.69/22.85 --sup_unprocessed_bound 0 % 2.69/22.85 --sup_to_prop_solver passive % 2.69/22.85 --sup_prop_simpl_new true % 2.69/22.85 --sup_prop_simpl_given true % 2.69/22.85 --sup_fun_splitting false % 2.69/22.85 --sup_iter_deepening 2 % 2.69/22.85 --sup_restarts_mult 12 % 2.69/22.85 --sup_score sim_d_gen % 2.69/22.85 --sup_share_score_frac 0.2 % 2.69/22.85 --sup_share_max_num_cl 500 % 2.69/22.85 --sup_ordering lpo % 2.69/22.85 --sup_symb_ordering invfreq % 2.69/22.85 --sup_term_weight default % 2.69/22.85 % 2.69/22.85 ------ Superposition Simplification Setup % 2.69/22.85 % 2.69/22.85 --sup_indices_passive [LightNormIndex;FwDemodIndex] % 2.69/22.85 --sup_full_triv [SMTSimplify;PropSubs] % 2.69/22.85 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 2.69/22.85 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 2.69/22.85 --sup_immed_triv [] % 2.69/22.85 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] % 2.69/22.85 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] % 2.69/22.85 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] % 2.69/22.85 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 2.69/22.85 --sup_input_triv [Unflattening;SMTSimplify] % 2.69/22.85 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] % 2.69/22.85 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] % 2.69/22.85 --sup_full_fixpoint true % 2.69/22.85 --sup_main_fixpoint true % 2.69/22.85 --sup_immed_fixpoint false % 2.69/22.85 --sup_input_fixpoint true % 2.69/22.85 --sup_cache_sim none % 2.69/22.85 --sup_smt_interval 500 % 2.69/22.85 --sup_bw_gjoin_interval 0 % 2.69/22.85 % 2.69/22.85 ------ Combination Options % 2.69/22.85 % 2.69/22.85 --comb_mode clause_based % 2.69/22.85 --comb_inst_mult 5 % 2.69/22.85 --comb_res_mult 1 % 2.69/22.85 --comb_sup_mult 1 % 2.69/22.85 --comb_sup_deep_mult 1 % 2.69/22.85 % 2.69/22.85 ------ Debug Options % 2.69/22.85 % 2.69/22.85 --dbg_backtrace false % 2.69/22.85 --dbg_dump_prop_clauses false % 2.69/22.85 --dbg_dump_prop_clauses_file - % 2.69/22.85 --dbg_out_stat false % 2.69/22.85 --dbg_just_parse false % 2.69/22.85 % 2.69/22.85 % 2.69/22.85 % 2.69/22.85 % 2.69/22.85 ------ Proving... % 2.69/22.85 % 2.69/22.85 % 2.69/22.85 % SZS status Satisfiable for theBenchmark.p % 2.69/22.85 % 2.69/22.85 ------ Building Model...Done % 2.69/22.85 % 2.69/22.85 %------ The model is defined over ground terms (initial term algebra). % 2.69/22.85 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) % 2.69/22.85 %------ where \phi is a formula over the term algebra. % 2.69/22.85 %------ If we have equality in the problem then it is also defined as a predicate above, % 2.69/22.85 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type % 2.69/22.85 %------ See help for --sat_out_model for different model outputs. % 2.69/22.85 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "=" % 2.69/22.85 %------ where the first argument stands for the sort ($i in the unsorted case) % 2.69/22.85 % SZS output start Model for theBenchmark.p % 2.69/22.85 % 2.69/22.85 %------ Positive definition of actual_world % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0] : % 2.69/22.85 ( actual_world(X0) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0=skc64 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of ssSkC0 % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 ( ssSkC0 <=> % 2.69/22.85 $true % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of group % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( group(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skc5 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf32(skc4,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf25(skc4,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf32(skc4,skf29(skc4,skf32(skc4,X2))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf32(skc4,skf18(skc5,skc4,X2,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of ssSkP2 % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( ssSkP2(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0!=skc5 | X1!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf32(skc4,X1) | X1!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf32(skc4,skf29(skc4,skc5)) | X1!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf25(skc4,X1) | X1!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf32(skc4,skf29(skc4,skf32(skc4,X1))) | X1!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf32(skc4,skf18(skc5,skc4,X1,X0)) | X1!=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of ssSkP3 % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( ssSkP3(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0!=skf32(skc4,X1) | X1!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf25(skc4,X1) | X1!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf32(skc4,skf29(skc4,skf32(skc4,X1))) | X1!=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc5 & X1=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X1=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf32(skc4,X0) ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf25(skc4,X0) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of member % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1,X2] : % 2.69/22.85 ( member(X0,X1,X2) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skc5) & X2=skc5 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X3,skc4,skc5) & X2=skc5 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skc5,skc4,X3,X4) & X2=skc5 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf32(skc4,skf29(skc4,skc5))) & X2=skf32(skc4,skf29(skc4,skc5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf35(skc4,skf32(skc4,skf29(skc4,skc5))) & X2=skf32(skc4,skf29(skc4,skc5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,X3),skc4,X4,X5) & X2=skf32(skc4,X3) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf18(skc5,skc4,X3,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf32(skc4,X3)) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf25(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf32(skc4,X3)) & X2=skf32(skc4,X3) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ! [X4] : ( X3!=skf18(skc5,skc4,X3,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf32(skc4,X3)) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf25(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf25(skc4,X3)) & X2=skf25(skc4,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf25(skc4,X3)) & X2=skf25(skc4,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,skf29(skc4,skc5)),skc4,X3,X4) & X2=skf32(skc4,skf29(skc4,skc5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skc5))) & X2=skf32(skc4,skf29(skc4,skc5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X3,skc4,skf32(skc4,X4)) & X2=skf32(skc4,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skc5) | X4!=skf29(skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf23(X3,skc4,skc5) | X4!=skf23(X3,skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf18(skc5,skc4,X3,X4) | X4!=skf18(skc5,skc4,X3,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) | X4!=skf29(skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) | X4!=skf18(skc5,skc4,X4,X5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) | X4!=skf29(skc4,skf32(skc4,X4)) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf32(skc4,X3)) | X4!=skf29(skc4,skf32(skc4,X3)) ) % 2.69/22.85 & % 2.69/22.85 ( X4!=skf29(skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ! [X5] : ( X4!=skf18(skc5,skc4,X4,X5) ) % 2.69/22.85 & % 2.69/22.85 ( X4!=skf29(skc4,skf25(skc4,X4)) ) % 2.69/22.85 & % 2.69/22.85 ( X4!=skf29(skc4,skf32(skc4,X4)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(skf34(skc4,X3),skc4,skf32(skc4,X4)) & X2=skf32(skc4,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X4!=skf29(skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ! [X5] : ( X4!=skf18(skc5,skc4,X4,X5) ) % 2.69/22.85 & % 2.69/22.85 ( X4!=skf29(skc4,skf25(skc4,X4)) ) % 2.69/22.85 & % 2.69/22.85 ( X4!=skf29(skc4,skf32(skc4,X4)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf32(skc4,X3)) & X2=skf32(skc4,X3) ) % 2.69/22.85 & % 2.69/22.85 ! [X4] : ( X3!=skf18(skc5,skc4,X3,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf32(skc4,X3)) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf25(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf32(skc4,skf29(skc4,skf32(skc4,X3)))) & X2=skf32(skc4,skf29(skc4,skf32(skc4,X3))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf32(skc4,skf18(skc5,skc4,X3,X4))) & X2=skf32(skc4,skf18(skc5,skc4,X3,X4)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf32(skc4,skf18(skc5,skc4,X3,X4))) & X2=skf32(skc4,skf18(skc5,skc4,X3,X4)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,skf29(skc4,skf32(skc4,X3))),skc4,X4,X5) & X2=skf32(skc4,skf29(skc4,skf32(skc4,X3))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5,X6] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,skf18(skc5,skc4,X3,X4)),skc4,X5,X6) & X2=skf32(skc4,skf18(skc5,skc4,X3,X4)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf32(skc4,skf29(skc4,skf32(skc4,X3)))) & X2=skf32(skc4,skf29(skc4,skf32(skc4,X3))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(skf34(skc4,X3),skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))) & X2=skf32(skc4,skf18(skc5,skc4,X4,X5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))) & X2=skf32(skc4,skf29(skc4,skf32(skc4,X4))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf32(skc4,skf29(skc4,skf25(skc4,X3)))) & X2=skf32(skc4,skf29(skc4,skf25(skc4,X3))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf32(skc4,skf29(skc4,skf25(skc4,X3)))) & X2=skf32(skc4,skf29(skc4,skf25(skc4,X3))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X3,skc4,skf32(skc4,skf29(skc4,skf25(skc4,X4)))) & X2=skf32(skc4,skf29(skc4,skf25(skc4,X4))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skf25(skc4,X4)))) & X2=skf32(skc4,skf29(skc4,skf25(skc4,X4))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,skf29(skc4,skf25(skc4,X3))),skc4,X4,X5) & X2=skf32(skc4,skf29(skc4,skf25(skc4,X3))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,skf29(skc4,skc5)),skc4,skf29(skc4,X3),X4) & X2=skf32(skc4,skf29(skc4,skc5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,skf29(skc4,skc5)),skc4,X3,skf26(skc4,X4)) & X2=skf32(skc4,skf29(skc4,skc5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,skf29(skc4,skc5)),skc4,X3,skf20(skc4,X4,X5)) & X2=skf32(skc4,skf29(skc4,skc5)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X3,skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))) & X2=skf32(skc4,skf29(skc4,skf32(skc4,X4))) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf32(skc4,X3)) | X4!=X3 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X3,skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))) & X2=skf32(skc4,skf18(skc5,skc4,X4,X5)) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf18(skc5,skc4,X3,X4) | X4!=X3 | X5!=X4 ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of hamburger % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( hamburger(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skc5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skc5,skc4,X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X2,skc4,skc5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of ssSkP1 % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1,X2] : % 2.69/22.85 ( ssSkP1(X0,X1,X2) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0!=skf34(skc4,X2) | X1!=skf32(skc4,X0) | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf34(skc4,X2) | X1!=skf32(skc4,skf29(skc4,skc5)) | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf34(skc4,X2) | X1!=skf32(skc4,skf18(skc5,skc4,X0,X1)) | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf34(skc4,X2) | X1!=skf32(skc4,skf29(skc4,skf32(skc4,X0))) | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf18(skc5,skc4,X2,X0) | X1!=skf32(skc4,skf18(skc5,skc4,X2,X0)) | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X1!=skc5 | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X1!=skf32(skc4,X0) | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X1!=skf32(skc4,skf18(skc5,skc4,X0,X1)) | X2!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X1!=skf32(skc4,skf29(skc4,skf32(skc4,X0))) | X2!=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skf29(skc4,skc5) & X1=skf32(skc4,skf29(skc4,skc5)) & X2=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skf23(X3,skc4,skc5) & X1=skf32(skc4,skf23(X3,skc4,skc5)) & X2=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skf18(skc5,skc4,X3,X4) & X1=skf32(skc4,skf18(skc5,skc4,X3,X4)) & X2=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skf29(skc4,skf32(skc4,X3)) & X1=skf32(skc4,skf29(skc4,skf32(skc4,X3))) & X2=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X1=skf32(skc4,skf29(skc4,skc5)) & X2=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf34(skc4,X0) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of ssSkP0 % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1,X2,X3] : % 2.69/22.85 ( ssSkP0(X0,X1,X2,X3) <=> % 2.69/22.85 ( % 2.69/22.85 ( % 2.69/22.85 ( X0!=skf29(skc4,X0) | X2!=skf32(skc4,skf18(skc5,skc4,X3,X2)) | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf29(skc4,X5) | X2!=skf32(skc4,X3) | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf29(skc4,X5) | X2!=skf32(skc4,skf29(skc4,skf32(skc4,X3))) | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X0!=skf29(skc4,X4) | X2!=skf32(skc4,skf29(skc4,skc5)) | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skc5 | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf32(skc4,skf29(skc4,skc5)) | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf32(skc4,X3) | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf32(skc4,skf29(skc4,skf32(skc4,X3))) | X3!=skc4 ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf32(skc4,skf18(skc5,skc4,X3,X2)) | X3!=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skf35(skc4,skf32(skc4,skf29(skc4,skc5))) & X1=skf26(skc4,skf35(skc4,skf32(skc4,skf29(skc4,skc5)))) & X2=skf25(skc4,skf35(skc4,skf32(skc4,skf29(skc4,skc5)))) & X3=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skf23(X4,skc4,skf32(skc4,X5)) & X1=skf26(skc4,skf23(X4,skc4,skf32(skc4,X5))) & X2=skf25(skc4,skf23(X4,skc4,skf32(skc4,X5))) & X3=skc4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of table % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( table(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf20(skc4,X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf26(skc4,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of three % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( three(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf32(skc4,X2) ) % 2.69/22.85 & % 2.69/22.85 ! [X3] : ( X2!=skf18(skc5,skc4,X2,X3) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf29(skc4,skf32(skc4,X2)) ) % 2.69/22.85 & % 2.69/22.85 ! [X4] : ( X2!=skf18(skc5,skc4,X2,X4) ) % 2.69/22.85 & % 2.69/22.85 ! [X5] : ( X2!=skf18(skc5,skc4,X2,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf32(skc4,skf29(skc4,skf32(skc4,X2))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf32(skc4,skf18(skc5,skc4,X2,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of sit % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( sit(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,X2,X3,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf18(skf32(skc4,skf29(skc4,skc5)),skc4,X2,X3),X4,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skc5,skc4,X2,X3),X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of present % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( present(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,X2,X3,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf18(skf32(skc4,skf29(skc4,skc5)),skc4,X2,X3),X4,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skc5,skc4,X2,X3),X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of event % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( event(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,X2,X3,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skc5,skc4,X2,X3),X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skf32(skc4,X2),skc4,X3,X4),X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of with % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1,X2] : % 2.69/22.85 ( with(X0,X1,X2) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skc5),X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skf32(skc4,skf29(skc4,skc5))),X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf34(skc4,skf32(skc4,skf29(skc4,skc5))),X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf35(skc4,skf32(skc4,skf29(skc4,skc5))),X2,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf29(skc4,skf32(skc4,X3)),X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf34(skc4,skf32(skc4,X3)),X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skf32(skc4,X3),skc4,X4,X5),X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf29(skc4,skc5),X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf23(X3,skc4,skc5),X2,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X3 | X3!=X3 | X4!=skf20(skc4,X5,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X3 | X3!=X3 | X4!=skf26(skc4,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skc5,skc4,X3,X4),X2) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X3 | X3!=X3 | X4!=skf20(skc4,X4,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf29(skc4,skc5))),skf29(skc4,skc5)) & X2=skf29(skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skc5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf23(X4,skc4,skc5))),skf23(X4,skc4,skc5)) & X2=skf23(X4,skc4,skc5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf23(X3,skc4,skc5) | X4!=X3 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf18(skf32(skc4,skf29(skc4,skc5)),skc4,X3,X4),X2,X5) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X3 | X3!=X3 | X4!=skf26(skc4,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X3 | X3!=X3 | X4!=skf20(skc4,X4,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf23(X3,skc4,skf32(skc4,skf29(skc4,skc5))),X2,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X3 | X3!=X3 | X4!=skf20(skc4,X5,X4) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X3 | X3!=X3 | X4!=skf26(skc4,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf29(skc4,skf25(skc4,X3)),X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf34(skc4,skf25(skc4,X3)),X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skf25(skc4,X3)),X2,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf34(skc4,skf25(skc4,X3)),X2,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skc5))),X2) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf34(skc4,X3) | X3!=X3 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))),skf29(skc4,skf32(skc4,X4))) & X2=skf29(skc4,skf32(skc4,X4)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))),skf29(skc4,skf32(skc4,X4))) & X2=skf29(skc4,skf32(skc4,X4)) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf29(skc4,skf32(skc4,X3)) | X4!=X3 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(skf34(skc4,X3),skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))),skf18(skc5,skc4,X4,X5)) & X2=skf18(skc5,skc4,X4,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))),skf18(skc5,skc4,X4,X5)) & X2=skf18(skc5,skc4,X4,X5) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf18(skc5,skc4,X3,X4) | X4!=X3 | X5!=X4 ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf35(skc4,skf32(skc4,skf29(skc4,skc5))),X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of agent % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1,X2] : % 2.69/22.85 ( agent(X0,X1,X2) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf35(skc4,skf32(skc4,skf29(skc4,skc5))),X3,X4) & X2=skf35(skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf34(skc4,skf32(skc4,skf29(skc4,skc5))),X3,X4) & X2=skf34(skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skf32(skc4,skf29(skc4,skc5))),X3,X4) & X2=skf29(skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skc5,skc4,X3,X4),X5) & X2=skf18(skc5,skc4,X3,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5,X6] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf18(skf32(skc4,X3),skc4,X4,X5),X6) & X2=skf18(skf32(skc4,X3),skc4,X4,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf29(skc4,skf32(skc4,X3)),X4) & X2=skf29(skc4,skf32(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf34(skc4,skf32(skc4,X3)),X4) & X2=skf34(skc4,skf32(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf29(skc4,skc5),X3) & X2=skf29(skc4,skc5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skc5),X3,X4) & X2=skf29(skc4,skc5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf23(X3,skc4,skc5),X4,X5) & X2=skf23(X3,skc4,skc5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf29(skc4,skc5))),X4) & X2=skf23(X3,skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf23(X4,skc4,skc5))),X5) & X2=skf23(X3,skc4,skf32(skc4,skf23(X4,skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf23(X3,skc4,skf32(skc4,skf29(skc4,skc5))),X4,X5) & X2=skf23(X3,skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf29(skc4,skf25(skc4,X3)),X4) & X2=skf29(skc4,skf25(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf34(skc4,skf25(skc4,X3)),X4) & X2=skf34(skc4,skf25(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skf25(skc4,X3)),X4,X5) & X2=skf29(skc4,skf25(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf34(skc4,skf25(skc4,X3)),X4,X5) & X2=skf34(skc4,skf25(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skc5))),X4) & X2=skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))),X5) & X2=skf23(skf34(skc4,X3),skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))),X5) & X2=skf23(X3,skc4,skf32(skc4,skf29(skc4,skf32(skc4,X4)))) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5,X6] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(skf34(skc4,X3),skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))),X6) & X2=skf23(skf34(skc4,X3),skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5,X6] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf23(X3,skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))),X6) & X2=skf23(X3,skc4,skf32(skc4,skf18(skc5,skc4,X4,X5))) ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf18(skc5,skc4,X3,X4) | X4!=X3 | X5!=X4 ) % 2.69/22.85 & % 2.69/22.85 ( X3!=skf34(skc4,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,skf35(skc4,skf32(skc4,skf29(skc4,skc5))),X3) & X2=skf35(skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of at % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1,X2] : % 2.69/22.85 ( at(X0,X1,X2) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf19(skc4,X3,X4) & X2=skf20(skc4,X4,X3) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skc5),X3,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf23(X3,skc4,skc5),X4,X2) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf26(skc4,X2) ) % 2.69/22.85 & % 2.69/22.85 ! [X5] : ( X2!=skf20(skc4,X2,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4,X5] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf18(skf32(skc4,skf29(skc4,skc5)),skc4,X3,X4),X5,X2) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=X4 | X3!=skf29(skc4,X3) | X4!=X4 ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf23(X3,skc4,skf32(skc4,skf29(skc4,skc5))),X4,X2) ) % 2.69/22.85 & % 2.69/22.85 ( X2!=skf26(skc4,X2) ) % 2.69/22.85 & % 2.69/22.85 ! [X5] : ( X2!=skf20(skc4,X2,X5) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf35(skc4,skf32(skc4,skf29(skc4,skc5))),X3,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf34(skc4,skf32(skc4,skf29(skc4,skc5))),X3,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skf32(skc4,skf29(skc4,skc5))),X3,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf29(skc4,skf25(skc4,X3)),X4,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf16(skc4,skf34(skc4,skf25(skc4,X3)),X4,X2) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of young % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( young(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf32(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf32(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X2,skc4,skf32(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,X2),skc4,X3,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf35(skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf25(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf25(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % 2.69/22.85 %------ Positive definition of guy % 2.69/22.85 fof(lit_def,axiom, % 2.69/22.85 (! [X0,X1] : % 2.69/22.85 ( guy(X0,X1) <=> % 2.69/22.85 ( % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf32(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf32(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf23(X2,skc4,skf32(skc4,X3)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2,X3,X4] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf18(skf32(skc4,X2),skc4,X3,X4) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf35(skc4,skf32(skc4,skf29(skc4,skc5))) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf29(skc4,skf25(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 | % 2.69/22.85 ? [X2] : % 2.69/22.85 ( % 2.69/22.85 ( X0=skc4 & X1=skf34(skc4,skf25(skc4,X2)) ) % 2.69/22.85 ) % 2.69/22.85 % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ) % 2.69/22.85 ). % 2.69/22.85 % SZS output end Model for theBenchmark.p % 2.69/22.85 %------------------------------------------------------------------------------