%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : SYO910_13 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% Computer : n017.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 03:53:49 PM UTC 2026
% Result : CounterSatisfiable 1.09s 6.20s
% Output : Saturation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO910_13 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.09/5.39 % Computer : n017.cluster.edu
% 0.09/5.39 % Model : x86_64 x86_64
% 0.09/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39 % Memory : 8046.5625MB
% 0.09/5.39 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Fri Sep 25 03:55:06 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.16/5.42 Running model finding
% 0.16/5.42 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
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 1.09/6.20 % SZS status Started for theBenchmark.p
% 1.09/6.20 % SZS status Satisfiable for theBenchmark.p
% 1.09/6.20
% 1.09/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.09/6.20
% 1.09/6.20 ------ iProver source info
% 1.09/6.20
% 1.09/6.20 git: date: 2026-07-19 20:42:38 +0200
% 1.09/6.20 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.09/6.20 git: non_committed_changes: false
% 1.09/6.20
% 1.09/6.20 ------ Parsing...
% 1.09/6.20 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.09/6.20
% 1.09/6.20 ------ Proving...
% 1.09/6.20 ------ Problem Properties
% 1.09/6.20
% 1.09/6.20
% 1.09/6.20 clauses 4
% 1.09/6.20 conjectures 4
% 1.09/6.20 EPR 4
% 1.09/6.20 Horn 4
% 1.09/6.20 unary 1
% 1.09/6.20 binary 2
% 1.09/6.20 lits 8
% 1.09/6.20 lits eq 0
% 1.09/6.20 fd_pure 0
% 1.09/6.20 fd_pseudo 0
% 1.09/6.20 fd_cond 0
% 1.09/6.20 fd_pseudo_cond 0
% 1.09/6.20 AC symbols 0
% 1.09/6.20
% 1.09/6.20 ------ Schedule EPR Horn non eq is on
% 1.09/6.20
% 1.09/6.20 ------ no equalities: superposition off
% 1.09/6.20
% 1.09/6.20 ------ Option_epr_horn Time Limit: Unbounded
% 1.09/6.20
% 1.09/6.20
% 1.09/6.20 ------
% 1.09/6.20 Current options:
% 1.09/6.20 ------
% 1.09/6.20
% 1.09/6.20 ------ Input Options
% 1.09/6.20
% 1.09/6.20 --out_options all
% 1.09/6.20 --tptp_safe_out true
% 1.09/6.20 --problem_path ""
% 1.09/6.20 --include_path ""
% 1.09/6.20 --clausifier res/vclausify_rel
% 1.09/6.20 --clausifier_options --mode tclausify --show_fool true -t 101.67 -updr off
% 1.09/6.20 --stdin false
% 1.09/6.20 --proof_out true
% 1.09/6.20 --proof_dot_file ""
% 1.09/6.20 --proof_reduce_dot []
% 1.09/6.20 --suppress_sat_res false
% 1.09/6.20 --suppress_unsat_res true
% 1.09/6.20 --stats_out none
% 1.09/6.20 --stats_mem false
% 1.09/6.20 --theory_stats_out false
% 1.09/6.20
% 1.09/6.20 ------ General Options
% 1.09/6.20
% 1.09/6.20 --fof false
% 1.09/6.20 --time_out_real 305.
% 1.09/6.20 --time_out_virtual -1.
% 1.09/6.20 --rnd_seed 13
% 1.09/6.20 --symbol_type_check false
% 1.09/6.20 --clausify_out false
% 1.09/6.20 --sig_cnt_out false
% 1.09/6.20 --trig_cnt_out false
% 1.09/6.20 --trig_cnt_out_tolerance 1.
% 1.09/6.20 --trig_cnt_out_sk_spl false
% 1.09/6.20 --abstr_cl_out false
% 1.09/6.20
% 1.09/6.20 ------ Interactive Mode
% 1.09/6.20
% 1.09/6.20 --interactive_mode false
% 1.09/6.20 --external_ip_address ""
% 1.09/6.20 --external_port 0
% 1.09/6.20
% 1.09/6.20 ------ Global Options
% 1.09/6.20
% 1.09/6.20 --schedule default
% 1.09/6.20 --add_important_lit false
% 1.09/6.20 --prop_solver_per_cl 500
% 1.09/6.20 --subs_bck_mult 8
% 1.09/6.20 --min_unsat_core false
% 1.09/6.20 --soft_assumptions false
% 1.09/6.20 --soft_lemma_size 3
% 1.09/6.20 --prop_impl_unit_size 0
% 1.09/6.20 --prop_impl_unit []
% 1.09/6.20 --share_sel_clauses true
% 1.09/6.20 --reset_solvers false
% 1.09/6.20 --bc_imp_inh []
% 1.09/6.20 --conj_cone_tolerance 1.5
% 1.09/6.20 --extra_neg_conj none
% 1.09/6.20 --large_theory_mode true
% 1.09/6.20 --prolific_symb_bound 500
% 1.09/6.20 --lt_threshold 2000
% 1.09/6.20 --clause_weak_htbl true
% 1.09/6.20 --gc_record_bc_elim false
% 1.09/6.20
% 1.09/6.20 ------ Preprocessing Options
% 1.09/6.20
% 1.09/6.20 --preprocessing_flag false
% 1.09/6.20 --time_out_prep_mult 0.8
% 1.09/6.20 --splitting_mode none
% 1.09/6.20 --splitting_grd false
% 1.09/6.20 --splitting_cvd false
% 1.09/6.20 --splitting_cvd_svl false
% 1.09/6.20 --splitting_nvd 128
% 1.09/6.20 --sub_typing true
% 1.09/6.20 --prep_eq_flat_conj false
% 1.09/6.20 --prep_ineq_split false
% 1.09/6.20 --prep_eq_flat_all_gr false
% 1.09/6.20 --prep_gs_sim true
% 1.09/6.20 --prep_unflatten true
% 1.09/6.20 --prep_res_sim false
% 1.09/6.20 --prep_sup_sim_all true
% 1.09/6.20 --prep_sup_sim_sup false
% 1.09/6.20 --prep_upred true
% 1.09/6.20 --prep_well_definedness true
% 1.09/6.20 --prep_sem_filter exhaustive
% 1.09/6.20 --prep_sem_filter_out false
% 1.09/6.20 --pred_elim false
% 1.09/6.20 --res_sim_input false
% 1.09/6.20 --eq_ax_congr_red true
% 1.09/6.20 --pure_diseq_elim true
% 1.09/6.20 --brand_transform false
% 1.09/6.20 --non_eq_to_eq false
% 1.09/6.20 --prep_eq_proxy false
% 1.09/6.20 --prep_def_merge true
% 1.09/6.20 --prep_def_merge_prop_impl false
% 1.09/6.20 --prep_def_merge_mbd true
% 1.09/6.20 --prep_def_merge_tr_red false
% 1.09/6.20 --prep_def_merge_tr_cl false
% 1.09/6.20 --smt_preprocessing false
% 1.09/6.20 --smt_ac_axioms fast
% 1.09/6.20 --preprocessed_out false
% 1.09/6.20 --preprocessed_stats false
% 1.09/6.20
% 1.09/6.20 ------ Abstraction refinement Options
% 1.09/6.20
% 1.09/6.20 --abstr_ref []
% 1.09/6.20 --abstr_ref_prep false
% 1.09/6.20 --abstr_ref_until_sat false
% 1.09/6.20 --abstr_ref_sig_restrict funpre
% 1.09/6.20 --abstr_ref_af_restrict_to_split_sk false
% 1.09/6.20 --abstr_ref_under []
% 1.09/6.20
% 1.09/6.20 ------ SAT Options
% 1.09/6.20
% 1.09/6.20 --sat_mode false
% 1.09/6.20 --sat_fm_restart_options ""
% 1.09/6.20 --sat_gr_def false
% 1.09/6.20 --sat_epr_types true
% 1.09/6.20 --sat_non_cyclic_types false
% 1.09/6.20 --sat_finite_models false
% 1.09/6.20 --sat_fm_lemmas false
% 1.09/6.20 --sat_fm_prep false
% 1.09/6.20 --sat_fm_uc_incr true
% 1.09/6.20 --sat_out_model pos
% 1.09/6.20 --sat_out_clauses false
% 1.09/6.20
% 1.09/6.20 ------ QBF Options
% 1.09/6.20
% 1.09/6.20 --qbf_mode false
% 1.09/6.20 --qbf_elim_univ false
% 1.09/6.20 --qbf_dom_inst none
% 1.09/6.20 --qbf_dom_pre_inst false
% 1.09/6.20 --qbf_sk_in false
% 1.09/6.20 --qbf_pred_elim true
% 1.09/6.20 --qbf_split 512
% 1.09/6.20
% 1.09/6.20 ------ BMC1 Options
% 1.09/6.20
% 1.09/6.20 --bmc1_incremental false
% 1.09/6.20 --bmc1_axioms reachable_all
% 1.09/6.20 --bmc1_min_bound 0
% 1.09/6.20 --bmc1_max_bound -1
% 1.09/6.20 --bmc1_max_bound_default -1
% 1.09/6.20 --bmc1_symbol_reachability true
% 1.09/6.20 --bmc1_property_lemmas false
% 1.09/6.20 --bmc1_k_induction false
% 1.09/6.20 --bmc1_non_equiv_states false
% 1.09/6.20 --bmc1_deadlock false
% 1.09/6.20 --bmc1_ucm false
% 1.09/6.20 --bmc1_add_unsat_core none
% 1.09/6.20 --bmc1_unsat_core_children false
% 1.09/6.20 --bmc1_unsat_core_extrapolate_axioms false
% 1.09/6.20 --bmc1_out_stat full
% 1.09/6.20 --bmc1_ground_init false
% 1.09/6.20 --bmc1_pre_inst_next_state false
% 1.09/6.20 --bmc1_pre_inst_state false
% 1.09/6.20 --bmc1_pre_inst_reach_state false
% 1.09/6.20 --bmc1_out_unsat_core false
% 1.09/6.20 --bmc1_aig_witness_out false
% 1.09/6.20 --bmc1_verbose false
% 1.09/6.20 --bmc1_dump_clauses_tptp false
% 1.09/6.20 --bmc1_dump_unsat_core_tptp false
% 1.09/6.20 --bmc1_dump_file -
% 1.09/6.20 --bmc1_ucm_expand_uc_limit 128
% 1.09/6.20 --bmc1_ucm_n_expand_iterations 6
% 1.09/6.20 --bmc1_ucm_extend_mode 1
% 1.09/6.20 --bmc1_ucm_init_mode 2
% 1.09/6.20 --bmc1_ucm_cone_mode none
% 1.09/6.20 --bmc1_ucm_reduced_relation_type 0
% 1.09/6.20 --bmc1_ucm_relax_model 4
% 1.09/6.20 --bmc1_ucm_full_tr_after_sat true
% 1.09/6.20 --bmc1_ucm_expand_neg_assumptions false
% 1.09/6.20 --bmc1_ucm_layered_model none
% 1.09/6.20 --bmc1_ucm_max_lemma_size 10
% 1.09/6.20
% 1.09/6.20 ------ AIG Options
% 1.09/6.20
% 1.09/6.20 --aig_mode false
% 1.09/6.20
% 1.09/6.20 ------ Instantiation Options
% 1.09/6.20
% 1.09/6.20 --instantiation_flag true
% 1.09/6.20 --inst_sos_flag false
% 1.09/6.20 --inst_sos_phase true
% 1.09/6.20 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 1.09/6.20 --inst_lit_sel [+non_prol_conj_symb;+prop;-num_symb]
% 1.09/6.20 --inst_lit_sel_side num_symb
% 1.09/6.20 --inst_solver_per_active 100
% 1.09/6.20 --inst_solver_calls_frac 1.
% 1.09/6.20 --inst_to_smt_solver true
% 1.09/6.20 --inst_passive_queue_type priority_queues
% 1.09/6.20 --inst_passive_queues [[+ground;+num_symb;+min_def_symb];[-num_lits;+age;+conj_non_prolific_symb]]
% 1.09/6.20 --inst_passive_queues_freq [1000;5]
% 1.09/6.20 --inst_dismatching false
% 1.09/6.20 --inst_eager_unprocessed_to_passive false
% 1.09/6.20 --inst_unprocessed_bound 1000
% 1.09/6.20 --inst_prop_sim_given false
% 1.09/6.20 --inst_prop_sim_new true
% 1.09/6.20 --inst_subs_new false
% 1.09/6.20 --inst_eq_res_simp false
% 1.09/6.20 --inst_subs_given false
% 1.09/6.20 --inst_orphan_elimination false
% 1.09/6.20 --inst_learning_loop_flag true
% 1.09/6.20 --inst_learning_start 3000
% 1.09/6.20 --inst_learning_factor 4
% 1.09/6.20 --inst_start_prop_sim_after_learn 0
% 1.09/6.20 --inst_sel_renew solver
% 1.09/6.20 --inst_lit_activity_flag true
% 1.09/6.20 --inst_restr_to_given true
% 1.09/6.20 --inst_activity_threshold 10000
% 1.09/6.20
% 1.09/6.20 ------ Resolution Options
% 1.09/6.20
% 1.09/6.20 --resolution_flag true
% 1.09/6.20 --res_lit_sel neg_min
% 1.09/6.20 --res_lit_sel_side none
% 1.09/6.20 --res_ordering kbo
% 1.09/6.20 --res_to_prop_solver active
% 1.09/6.20 --res_prop_simpl_new false
% 1.09/6.20 --res_prop_simpl_given true
% 1.09/6.20 --res_to_smt_solver true
% 1.09/6.20 --res_passive_queue_type priority_queues
% 1.09/6.20 --res_passive_queues [[-conj_dist;+conj_non_prolific_symb;-num_symb;-num_symb];[+age;-num_symb]]
% 1.09/6.20 --res_passive_queues_freq [10;5]
% 1.09/6.20 --res_forward_subs subset_subsumption
% 1.09/6.20 --res_backward_subs subset_subsumption
% 1.09/6.20 --res_forward_subs_resolution false
% 1.09/6.20 --res_backward_subs_resolution false
% 1.09/6.20 --res_orphan_elimination true
% 1.09/6.20 --res_time_limit 300.
% 1.09/6.20
% 1.09/6.20 ------ Superposition Options
% 1.09/6.20
% 1.09/6.20 --superposition_flag false
% 1.09/6.20 --sup_passive_queue_type priority_queues
% 1.09/6.20 --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]]
% 1.09/6.20 --sup_passive_queues_freq [8;1;4;4]
% 1.09/6.20 --twee_lhs_weight 4
% 1.09/6.20 --sup_set_join false
% 1.09/6.20 --sup_set_join_goals true
% 1.09/6.20 --sup_set_join_limit 1000
% 1.09/6.20 --demod_completeness_check fast
% 1.09/6.20 --demod_use_ground true
% 1.09/6.20 --sup_unprocessed_bound 0
% 1.09/6.20 --sup_to_prop_solver passive
% 1.09/6.20 --sup_prop_simpl_new true
% 1.09/6.20 --sup_prop_simpl_given true
% 1.09/6.20 --sup_fun_splitting false
% 1.09/6.20 --sup_iter_deepening 2
% 1.09/6.20 --sup_restarts_mult 12
% 1.09/6.20 --sup_score sim_d_gen
% 1.09/6.20 --sup_share_score_frac 0.2
% 1.09/6.20 --sup_share_max_num_cl 500
% 1.09/6.20 --sup_ordering kbo
% 1.09/6.20 --sup_symb_ordering invfreq
% 1.09/6.20 --sup_term_weight default
% 1.09/6.20
% 1.09/6.20 ------ Superposition Simplification Setup
% 1.09/6.20
% 1.09/6.20 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 1.09/6.20 --sup_full_triv [SMTSimplify;PropSubs]
% 1.09/6.20 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 1.09/6.20 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 1.09/6.20 --sup_immed_triv []
% 1.09/6.20 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 1.09/6.20 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 1.09/6.20 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 1.09/6.20 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 1.09/6.20 --sup_input_triv [Unflattening;SMTSimplify]
% 1.09/6.20 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 1.09/6.20 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 1.09/6.20 --sup_full_fixpoint true
% 1.09/6.20 --sup_main_fixpoint true
% 1.09/6.20 --sup_immed_fixpoint false
% 1.09/6.20 --sup_input_fixpoint true
% 1.09/6.20 --sup_cache_sim none
% 1.09/6.20 --sup_smt_interval 500
% 1.09/6.20 --sup_bw_gjoin_interval 0
% 1.09/6.20
% 1.09/6.20 ------ Combination Options
% 1.09/6.20
% 1.09/6.20 --comb_mode clause_based
% 1.09/6.20 --comb_inst_mult 3
% 1.09/6.20 --comb_res_mult 10
% 1.09/6.20 --comb_sup_mult 1
% 1.09/6.20 --comb_sup_deep_mult 1
% 1.09/6.20
% 1.09/6.20 ------ Debug Options
% 1.09/6.20
% 1.09/6.20 --dbg_backtrace false
% 1.09/6.20 --dbg_dump_prop_clauses false
% 1.09/6.20 --dbg_dump_prop_clauses_file -
% 1.09/6.20 --dbg_out_stat false
% 1.09/6.20 --dbg_just_parse false
% 1.09/6.20
% 1.09/6.20
% 1.09/6.20
% 1.09/6.20
% 1.09/6.20 ------ Proving...
% 1.09/6.20
% 1.09/6.20
% 1.09/6.20 % SZS status Satisfiable for theBenchmark.p
% 1.09/6.20
% 1.09/6.20 % SZS output start Saturation for theBenchmark.p
% 1.09/6.20
% 1.09/6.20 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.09/6.20 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.09/6.20 tff(pred_def_2, type, p: '$ki_world' > $o).
% 1.09/6.20 tff(pred_def_3, type, q: '$ki_world' > $o).
% 1.09/6.20 tff(type_def_5, type, '$ki_world': $tType).
% 1.09/6.20 tff(f1,conjecture,(
% 1.09/6.20 (! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) & ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => (p(X1) => q(X1))))) => ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & q(X0))),
% 1.09/6.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 1.09/6.20
% 1.09/6.20 tff(f2,negated_conjecture,(
% 1.09/6.20 ~((! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) & ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => (p(X1) => q(X1))))) => ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & q(X0)))),
% 1.09/6.20 inference(negated_conjecture,[status(cth)],[f1])).
% 1.09/6.20
% 1.09/6.20 tff(f3,plain,(
% 1.09/6.20 ~((! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) & ? [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) & ! [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) => (p(X2) => q(X2))))) => ? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & q(X3)))),
% 1.09/6.20 inference(rectify,[],[f2])).
% 1.09/6.20
% 1.09/6.20 tff(f4,plain,(
% 1.09/6.20 ! [X3 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X3) | ~q(X3)) & (! [X0 : '$ki_world'] : (p(X0) | ~'$ki_accessible'('$ki_local_world',X0)) & ? [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) & ! [X2 : '$ki_world'] : ((q(X2) | ~p(X2)) | ~'$ki_accessible'(X1,X2))))),
% 1.09/6.20 inference(ennf_transformation,[],[f3])).
% 1.09/6.20
% 1.09/6.20 tff(f5,plain,(
% 1.09/6.20 ! [X3 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X3) | ~q(X3)) & ! [X0 : '$ki_world'] : (p(X0) | ~'$ki_accessible'('$ki_local_world',X0)) & ? [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) & ! [X2 : '$ki_world'] : (q(X2) | ~p(X2) | ~'$ki_accessible'(X1,X2)))),
% 1.09/6.20 inference(flattening,[],[f4])).
% 1.09/6.20
% 1.09/6.20 tff(f6,plain,(
% 1.09/6.20 ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ~q(X0)) & ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) & ? [X2 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X2) & ! [X3 : '$ki_world'] : (q(X3) | ~p(X3) | ~'$ki_accessible'(X2,X3)))),
% 1.09/6.20 inference(rectify,[],[f5])).
% 1.09/6.20
% 1.09/6.20 tff(f7,plain,(
% 1.09/6.20 ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ~q(X0)) & ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) & ('$ki_accessible'('$ki_local_world',sK0) & ! [X3 : '$ki_world'] : (q(X3) | ~p(X3) | ~'$ki_accessible'(sK0,X3)))),
% 1.09/6.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f6])).
% 1.09/6.20
% 1.09/6.20 tff(f8,plain,(
% 1.09/6.20 ( ! [X3 : '$ki_world'] : (q(X3) | ~p(X3) | ~'$ki_accessible'(sK0,X3)) )),
% 1.09/6.20 inference(cnf_transformation,[],[f7])).
% 1.09/6.20
% 1.09/6.20 tff(f9,plain,(
% 1.09/6.20 '$ki_accessible'('$ki_local_world',sK0)),
% 1.09/6.20 inference(cnf_transformation,[],[f7])).
% 1.09/6.20
% 1.09/6.20 tff(f10,plain,(
% 1.09/6.20 ( ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) )),
% 1.09/6.20 inference(cnf_transformation,[],[f7])).
% 1.09/6.20
% 1.09/6.20 tff(f11,plain,(
% 1.09/6.20 ( ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ~q(X0)) )),
% 1.09/6.20 inference(cnf_transformation,[],[f7])).
% 1.09/6.20
% 1.09/6.20 tcf(c_49,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.09/6.20 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~q(X0_'ki_world')),
% 1.09/6.20 inference(cnf_transformation,[],[f11])).
% 1.09/6.20
% 1.09/6.20 tcf(c_50,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.09/6.20 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|p(X0_'ki_world')),
% 1.09/6.20 inference(cnf_transformation,[],[f10])).
% 1.09/6.20
% 1.09/6.20 tcf(c_51,negated_conjecture,
% 1.09/6.20 ('$ki_accessible'('$ki_local_world',sK0)),
% 1.09/6.20 inference(cnf_transformation,[],[f9])).
% 1.09/6.20
% 1.09/6.20 tcf(c_52,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.09/6.20 (~'$ki_accessible'(sK0,X0_'ki_world')|~p(X0_'ki_world')|q(X0_'ki_world')),
% 1.09/6.20 inference(cnf_transformation,[],[f8])).
% 1.09/6.20
% 1.09/6.20 tcf(c_56,plain, (p(sK0)),inference(resolution,[status(thm)],[c_50,c_51])).
% 1.09/6.20
% 1.09/6.20 tcf(c_57,plain,
% 1.09/6.20 (~'$ki_accessible'(sK0,sK0)|q(sK0)),
% 1.09/6.20 inference(resolution,[status(thm)],[c_56,c_52])).
% 1.09/6.20
% 1.09/6.20
% 1.09/6.20 % SZS output end Saturation for theBenchmark.p
% 1.09/6.20
% 1.09/6.20
%------------------------------------------------------------------------------