%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : LCL970_15 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% Computer : n020.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 02:10:48 PM UTC 2026
% Result : CounterSatisfiable 1.20s 1.07s
% Output : Model 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL970_15 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 00:45:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.10/0.41 Running model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.20/1.07 % SZS status Started for theBenchmark.p
% 1.20/1.07 % SZS status Satisfiable for theBenchmark.p
% 1.20/1.07
% 1.20/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.20/1.07
% 1.20/1.07 ------ iProver source info
% 1.20/1.07
% 1.20/1.07 git: date: 2026-07-19 20:42:38 +0200
% 1.20/1.07 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.20/1.07 git: non_committed_changes: false
% 1.20/1.07
% 1.20/1.07 ------ Parsing...
% 1.20/1.07 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.20/1.07
% 1.20/1.07 ------ Proving...
% 1.20/1.07 ------ Problem Properties
% 1.20/1.07
% 1.20/1.07
% 1.20/1.07 clauses 13
% 1.20/1.07 conjectures 2
% 1.20/1.07 EPR 1
% 1.20/1.07 Horn 13
% 1.20/1.07 unary 2
% 1.20/1.07 binary 8
% 1.20/1.07 lits 27
% 1.20/1.07 lits eq 0
% 1.20/1.07 fd_pure 0
% 1.20/1.07 fd_pseudo 0
% 1.20/1.07 fd_cond 0
% 1.20/1.07 fd_pseudo_cond 0
% 1.20/1.07 AC symbols 0
% 1.20/1.07
% 1.20/1.07 ------ Schedule dynamic 5 is on
% 1.20/1.07
% 1.20/1.07 ------ no equalities: superposition off
% 1.20/1.07
% 1.20/1.07 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.20/1.07
% 1.20/1.07
% 1.20/1.07 ------
% 1.20/1.07 Current options:
% 1.20/1.07 ------
% 1.20/1.07
% 1.20/1.07 ------ Input Options
% 1.20/1.07
% 1.20/1.07 --out_options all
% 1.20/1.07 --tptp_safe_out true
% 1.20/1.07 --problem_path ""
% 1.20/1.07 --include_path ""
% 1.20/1.07 --clausifier res/vclausify_rel
% 1.20/1.07 --clausifier_options --mode tclausify --show_fool true -t 101.67 -updr off
% 1.20/1.07 --stdin false
% 1.20/1.07 --proof_out true
% 1.20/1.07 --proof_dot_file ""
% 1.20/1.07 --proof_reduce_dot []
% 1.20/1.07 --suppress_sat_res false
% 1.20/1.07 --suppress_unsat_res true
% 1.20/1.07 --stats_out none
% 1.20/1.07 --stats_mem false
% 1.20/1.07 --theory_stats_out false
% 1.20/1.07
% 1.20/1.07 ------ General Options
% 1.20/1.07
% 1.20/1.07 --fof false
% 1.20/1.07 --time_out_real 305.
% 1.20/1.07 --time_out_virtual -1.
% 1.20/1.07 --rnd_seed 13
% 1.20/1.07 --symbol_type_check false
% 1.20/1.07 --clausify_out false
% 1.20/1.07 --sig_cnt_out false
% 1.20/1.07 --trig_cnt_out false
% 1.20/1.07 --trig_cnt_out_tolerance 1.
% 1.20/1.07 --trig_cnt_out_sk_spl false
% 1.20/1.07 --abstr_cl_out false
% 1.20/1.07
% 1.20/1.07 ------ Interactive Mode
% 1.20/1.07
% 1.20/1.07 --interactive_mode false
% 1.20/1.07 --external_ip_address ""
% 1.20/1.07 --external_port 0
% 1.20/1.07
% 1.20/1.07 ------ Global Options
% 1.20/1.07
% 1.20/1.07 --schedule default
% 1.20/1.07 --add_important_lit false
% 1.20/1.07 --prop_solver_per_cl 500
% 1.20/1.07 --subs_bck_mult 8
% 1.20/1.07 --min_unsat_core false
% 1.20/1.07 --soft_assumptions false
% 1.20/1.07 --soft_lemma_size 3
% 1.20/1.07 --prop_impl_unit_size 0
% 1.20/1.07 --prop_impl_unit []
% 1.20/1.07 --share_sel_clauses true
% 1.20/1.07 --reset_solvers false
% 1.20/1.07 --bc_imp_inh [conj_cone]
% 1.20/1.07 --conj_cone_tolerance 3.
% 1.20/1.07 --extra_neg_conj none
% 1.20/1.07 --large_theory_mode true
% 1.20/1.07 --prolific_symb_bound 200
% 1.20/1.07 --lt_threshold 2000
% 1.20/1.07 --clause_weak_htbl true
% 1.20/1.07 --gc_record_bc_elim false
% 1.20/1.07
% 1.20/1.07 ------ Preprocessing Options
% 1.20/1.07
% 1.20/1.07 --preprocessing_flag false
% 1.20/1.07 --time_out_prep_mult 0.1
% 1.20/1.07 --splitting_mode input
% 1.20/1.07 --splitting_grd true
% 1.20/1.07 --splitting_cvd false
% 1.20/1.07 --splitting_cvd_svl false
% 1.20/1.07 --splitting_nvd 32
% 1.20/1.07 --sub_typing false
% 1.20/1.07 --prep_eq_flat_conj false
% 1.20/1.07 --prep_ineq_split false
% 1.20/1.07 --prep_eq_flat_all_gr false
% 1.20/1.07 --prep_gs_sim true
% 1.20/1.07 --prep_unflatten true
% 1.20/1.07 --prep_res_sim true
% 1.20/1.07 --prep_sup_sim_all true
% 1.20/1.07 --prep_sup_sim_sup false
% 1.20/1.07 --prep_upred true
% 1.20/1.07 --prep_well_definedness true
% 1.20/1.07 --prep_sem_filter exhaustive
% 1.20/1.07 --prep_sem_filter_out false
% 1.20/1.07 --pred_elim true
% 1.20/1.07 --res_sim_input true
% 1.20/1.07 --eq_ax_congr_red true
% 1.20/1.07 --pure_diseq_elim true
% 1.20/1.07 --brand_transform false
% 1.20/1.07 --non_eq_to_eq false
% 1.20/1.07 --prep_eq_proxy false
% 1.20/1.07 --prep_def_merge true
% 1.20/1.07 --prep_def_merge_prop_impl false
% 1.20/1.07 --prep_def_merge_mbd true
% 1.20/1.07 --prep_def_merge_tr_red false
% 1.20/1.07 --prep_def_merge_tr_cl false
% 1.20/1.07 --smt_preprocessing false
% 1.20/1.07 --smt_ac_axioms fast
% 1.20/1.07 --preprocessed_out false
% 1.20/1.07 --preprocessed_stats false
% 1.20/1.07
% 1.20/1.07 ------ Abstraction refinement Options
% 1.20/1.07
% 1.20/1.07 --abstr_ref []
% 1.20/1.07 --abstr_ref_prep false
% 1.20/1.07 --abstr_ref_until_sat false
% 1.20/1.07 --abstr_ref_sig_restrict funpre
% 1.20/1.07 --abstr_ref_af_restrict_to_split_sk false
% 1.20/1.07 --abstr_ref_under []
% 1.20/1.07
% 1.20/1.07 ------ SAT Options
% 1.20/1.07
% 1.20/1.07 --sat_mode false
% 1.20/1.07 --sat_fm_restart_options ""
% 1.20/1.07 --sat_gr_def false
% 1.20/1.07 --sat_epr_types true
% 1.20/1.07 --sat_non_cyclic_types false
% 1.20/1.07 --sat_finite_models false
% 1.20/1.07 --sat_fm_lemmas false
% 1.20/1.07 --sat_fm_prep false
% 1.20/1.07 --sat_fm_uc_incr true
% 1.20/1.07 --sat_out_model pos
% 1.20/1.07 --sat_out_clauses false
% 1.20/1.07
% 1.20/1.07 ------ QBF Options
% 1.20/1.07
% 1.20/1.07 --qbf_mode false
% 1.20/1.07 --qbf_elim_univ false
% 1.20/1.07 --qbf_dom_inst none
% 1.20/1.07 --qbf_dom_pre_inst false
% 1.20/1.07 --qbf_sk_in false
% 1.20/1.07 --qbf_pred_elim true
% 1.20/1.07 --qbf_split 512
% 1.20/1.07
% 1.20/1.07 ------ BMC1 Options
% 1.20/1.07
% 1.20/1.07 --bmc1_incremental false
% 1.20/1.07 --bmc1_axioms reachable_all
% 1.20/1.07 --bmc1_min_bound 0
% 1.20/1.07 --bmc1_max_bound -1
% 1.20/1.07 --bmc1_max_bound_default -1
% 1.20/1.07 --bmc1_symbol_reachability true
% 1.20/1.07 --bmc1_property_lemmas false
% 1.20/1.07 --bmc1_k_induction false
% 1.20/1.07 --bmc1_non_equiv_states false
% 1.20/1.07 --bmc1_deadlock false
% 1.20/1.07 --bmc1_ucm false
% 1.20/1.07 --bmc1_add_unsat_core none
% 1.20/1.07 --bmc1_unsat_core_children false
% 1.20/1.07 --bmc1_unsat_core_extrapolate_axioms false
% 1.20/1.07 --bmc1_out_stat full
% 1.20/1.07 --bmc1_ground_init false
% 1.20/1.07 --bmc1_pre_inst_next_state false
% 1.20/1.07 --bmc1_pre_inst_state false
% 1.20/1.07 --bmc1_pre_inst_reach_state false
% 1.20/1.07 --bmc1_out_unsat_core false
% 1.20/1.07 --bmc1_aig_witness_out false
% 1.20/1.07 --bmc1_verbose false
% 1.20/1.07 --bmc1_dump_clauses_tptp false
% 1.20/1.07 --bmc1_dump_unsat_core_tptp false
% 1.20/1.07 --bmc1_dump_file -
% 1.20/1.07 --bmc1_ucm_expand_uc_limit 128
% 1.20/1.07 --bmc1_ucm_n_expand_iterations 6
% 1.20/1.07 --bmc1_ucm_extend_mode 1
% 1.20/1.07 --bmc1_ucm_init_mode 2
% 1.20/1.07 --bmc1_ucm_cone_mode none
% 1.20/1.07 --bmc1_ucm_reduced_relation_type 0
% 1.20/1.07 --bmc1_ucm_relax_model 4
% 1.20/1.07 --bmc1_ucm_full_tr_after_sat true
% 1.20/1.07 --bmc1_ucm_expand_neg_assumptions false
% 1.20/1.07 --bmc1_ucm_layered_model none
% 1.20/1.07 --bmc1_ucm_max_lemma_size 10
% 1.20/1.07
% 1.20/1.07 ------ AIG Options
% 1.20/1.07
% 1.20/1.07 --aig_mode false
% 1.20/1.07
% 1.20/1.07 ------ Instantiation Options
% 1.20/1.07
% 1.20/1.07 --instantiation_flag true
% 1.20/1.07 --inst_sos_flag false
% 1.20/1.07 --inst_sos_phase true
% 1.20/1.07 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 1.20/1.07 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 1.20/1.07 --inst_lit_sel_side none
% 1.20/1.07 --inst_solver_per_active 1400
% 1.20/1.07 --inst_solver_calls_frac 1.
% 1.20/1.07 --inst_to_smt_solver true
% 1.20/1.07 --inst_passive_queue_type priority_queues
% 1.20/1.07 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.20/1.07 --inst_passive_queues_freq [25;2]
% 1.20/1.07 --inst_dismatching true
% 1.20/1.07 --inst_eager_unprocessed_to_passive true
% 1.20/1.07 --inst_unprocessed_bound 1000
% 1.20/1.07 --inst_prop_sim_given true
% 1.20/1.07 --inst_prop_sim_new false
% 1.20/1.07 --inst_subs_new false
% 1.20/1.07 --inst_eq_res_simp false
% 1.20/1.07 --inst_subs_given false
% 1.20/1.07 --inst_orphan_elimination true
% 1.20/1.07 --inst_learning_loop_flag true
% 1.20/1.07 --inst_learning_start 3000
% 1.20/1.07 --inst_learning_factor 2
% 1.20/1.07 --inst_start_prop_sim_after_learn 3
% 1.20/1.07 --inst_sel_renew solver
% 1.20/1.07 --inst_lit_activity_flag true
% 1.20/1.07 --inst_restr_to_given false
% 1.20/1.07 --inst_activity_threshold 500
% 1.20/1.07
% 1.20/1.07 ------ Resolution Options
% 1.20/1.07
% 1.20/1.07 --resolution_flag false
% 1.20/1.07 --res_lit_sel adaptive
% 1.20/1.07 --res_lit_sel_side none
% 1.20/1.07 --res_ordering kbo
% 1.20/1.07 --res_to_prop_solver active
% 1.20/1.07 --res_prop_simpl_new false
% 1.20/1.07 --res_prop_simpl_given true
% 1.20/1.07 --res_to_smt_solver true
% 1.20/1.07 --res_passive_queue_type priority_queues
% 1.20/1.07 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.20/1.07 --res_passive_queues_freq [15;5]
% 1.20/1.07 --res_forward_subs full
% 1.20/1.07 --res_backward_subs full
% 1.20/1.07 --res_forward_subs_resolution true
% 1.20/1.07 --res_backward_subs_resolution true
% 1.20/1.07 --res_orphan_elimination true
% 1.20/1.07 --res_time_limit 300.
% 1.20/1.07
% 1.20/1.07 ------ Superposition Options
% 1.20/1.07
% 1.20/1.07 --superposition_flag true
% 1.20/1.07 --sup_passive_queue_type priority_queues
% 1.20/1.07 --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]]
% 1.20/1.07 --sup_passive_queues_freq [8;1;4;4]
% 1.20/1.07 --twee_lhs_weight 4
% 1.20/1.07 --sup_set_join false
% 1.20/1.07 --sup_set_join_goals true
% 1.20/1.07 --sup_set_join_limit 1000
% 1.20/1.07 --demod_completeness_check fast
% 1.20/1.07 --demod_use_ground true
% 1.20/1.07 --sup_unprocessed_bound 0
% 1.20/1.07 --sup_to_prop_solver passive
% 1.20/1.07 --sup_prop_simpl_new true
% 1.20/1.07 --sup_prop_simpl_given true
% 1.20/1.07 --sup_fun_splitting false
% 1.20/1.07 --sup_iter_deepening 2
% 1.20/1.07 --sup_restarts_mult 12
% 1.20/1.07 --sup_score sim_d_gen
% 1.20/1.07 --sup_share_score_frac 0.2
% 1.20/1.07 --sup_share_max_num_cl 500
% 1.20/1.07 --sup_ordering kbo
% 1.20/1.07 --sup_symb_ordering invfreq
% 1.20/1.07 --sup_term_weight default
% 1.20/1.07
% 1.20/1.07 ------ Superposition Simplification Setup
% 1.20/1.07
% 1.20/1.07 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 1.20/1.07 --sup_full_triv [SMTSimplify;PropSubs]
% 1.20/1.07 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 1.20/1.07 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 1.20/1.07 --sup_immed_triv []
% 1.20/1.07 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 1.20/1.07 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 1.20/1.07 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 1.20/1.07 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 1.20/1.07 --sup_input_triv [Unflattening;SMTSimplify]
% 1.20/1.07 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 1.20/1.07 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 1.20/1.07 --sup_full_fixpoint true
% 1.20/1.07 --sup_main_fixpoint true
% 1.20/1.07 --sup_immed_fixpoint false
% 1.20/1.07 --sup_input_fixpoint true
% 1.20/1.07 --sup_cache_sim none
% 1.20/1.07 --sup_smt_interval 500
% 1.20/1.07 --sup_bw_gjoin_interval 0
% 1.20/1.07
% 1.20/1.07 ------ Combination Options
% 1.20/1.07
% 1.20/1.07 --comb_mode clause_based
% 1.20/1.07 --comb_inst_mult 5
% 1.20/1.07 --comb_res_mult 1
% 1.20/1.07 --comb_sup_mult 1
% 1.20/1.07 --comb_sup_deep_mult 1
% 1.20/1.07
% 1.20/1.07 ------ Debug Options
% 1.20/1.07
% 1.20/1.07 --dbg_backtrace false
% 1.20/1.07 --dbg_dump_prop_clauses false
% 1.20/1.07 --dbg_dump_prop_clauses_file -
% 1.20/1.07 --dbg_out_stat false
% 1.20/1.07 --dbg_just_parse false
% 1.20/1.07
% 1.20/1.07
% 1.20/1.07
% 1.20/1.07
% 1.20/1.07 ------ Proving...
% 1.20/1.07
% 1.20/1.07
% 1.20/1.07 % SZS status Satisfiable for theBenchmark.p
% 1.20/1.07
% 1.20/1.07 ------ Building Model...Done
% 1.20/1.07
% 1.20/1.07 %------ The model is defined over ground terms (initial term algebra).
% 1.20/1.07 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 1.20/1.07 %------ where \phi is a formula over the term algebra.
% 1.20/1.07 %------ If we have equality in the problem then it is also defined as a predicate above,
% 1.20/1.07 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 1.20/1.07 %------ See help for --sat_out_model for different model outputs.
% 1.20/1.07 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 1.20/1.07 %------ where the first argument stands for the sort ($i in the unsorted case)
% 1.20/1.07 % SZS output start Model for theBenchmark.p
% 1.20/1.07
% 1.20/1.07 %------ Positive definition of '$ki_accessible'
% 1.20/1.07 fof(lit_def,axiom,
% 1.20/1.07 (! [X0_'ki_world',X1_'ki_world'] :
% 1.20/1.07 ( '$ki_accessible'(X0_'ki_world',X1_'ki_world') <=>
% 1.20/1.07 (
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'='$ki_local_world' & X1_'ki_world'=sK7(sK2('$ki_local_world')) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK7(sK2('$ki_local_world')) & X1_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X1_'ki_world'=sK6(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X1_'ki_world'=sK5(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X1_'ki_world'=sK1(sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world')))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X1_'ki_world'=sK1(X0_'ki_world') )
% 1.20/1.07 &
% 1.20/1.07 ( X0_'ki_world'!=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 ).
% 1.20/1.07
% 1.20/1.07 %------ Positive definition of big_q
% 1.20/1.07 fof(lit_def,axiom,
% 1.20/1.07 (! [X0_'ki_world',X0] :
% 1.20/1.07 ( big_q(X0_'ki_world',X0) <=>
% 1.20/1.07 (
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK6(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK3(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK5(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK3(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK1(sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world')))) & X0=sK3(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 ).
% 1.20/1.07
% 1.20/1.07 %------ Positive definition of big_p
% 1.20/1.07 fof(lit_def,axiom,
% 1.20/1.07 (! [X0_'ki_world',X0] :
% 1.20/1.07 ( big_p(X0_'ki_world',X0) <=>
% 1.20/1.07 (
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK6(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK5(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK1(sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world')))) & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 ).
% 1.20/1.07
% 1.20/1.07 %------ Positive definition of '$ki_exists_in_world
% 1.20/1.07 fof(lit_def,axiom,
% 1.20/1.07 (! [X0_'ki_world',X0] :
% 1.20/1.07 ( '$ki_exists_in_world(X0_'ki_world',X0) <=>
% 1.20/1.07 (
% 1.20/1.07 (
% 1.20/1.07 ( X0=sK2(X0_'ki_world') )
% 1.20/1.07 &
% 1.20/1.07 ( X0_'ki_world'!='$ki_local_world' )
% 1.20/1.07 &
% 1.20/1.07 ( X0_'ki_world'!=sK7(sK2('$ki_local_world')) )
% 1.20/1.07 &
% 1.20/1.07 ( X0_'ki_world'!=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'='$ki_local_world' & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK7(sK2('$ki_local_world')) & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK7(sK2('$ki_local_world')) & X0=sK3(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK7(sK2('$ki_local_world')) & X0=sK2(sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK3(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2(sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world')))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2(sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK6(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK6(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK3(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK6(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2(sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world')))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK6(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2(sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK5(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2('$ki_local_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK5(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK3(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK5(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2(sK4(sK2('$ki_local_world'),sK7(sK2('$ki_local_world')))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK5(sK2('$ki_local_world'),sK7(sK2('$ki_local_world'))) & X0=sK2(sK7(sK2('$ki_local_world'))) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 |
% 1.20/1.07 ? [X1_'ki_world'] :
% 1.20/1.07 (
% 1.20/1.07 ( X0_'ki_world'=sK1(X1_'ki_world') )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 ).
% 1.20/1.07
% 1.20/1.07 %------ Positive definition of sP0
% 1.20/1.07 fof(lit_def,axiom,
% 1.20/1.07 (! [X0,X0_'ki_world'] :
% 1.20/1.07 ( sP0(X0,X0_'ki_world') <=>
% 1.20/1.07 (
% 1.20/1.07 (
% 1.20/1.07 ( X0=sK2('$ki_local_world') & X0_'ki_world'=sK7(sK2('$ki_local_world')) )
% 1.20/1.07 )
% 1.20/1.07
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 )
% 1.20/1.07 ).
% 1.20/1.07 % SZS output end Model for theBenchmark.p
% 1.20/1.07
%------------------------------------------------------------------------------