%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP409_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 01:49:34 PM UTC 2026
% Result : Theorem 15.67s 3.88s
% Output : CNFRefutation 15.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP409_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 18:38:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running TFA theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 15.67/3.88 % SZS status Started for theBenchmark.p
% 15.67/3.88 ERROR - "ProverProcess:heur/schedule_none:304.9999797344208" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --schedule none --sub_typing false --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.67 --show_fool true" --time_out_real 305.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/meol_6us 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/meol_6us_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 0 --comb_sup_mult 6 --conj_cone_tolerance 1.8969679945890683 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 3.67 --show_fool true" --time_out_real 11.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/49b_ye8n 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/49b_ye8n_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 0 --comb_sup_mult 0 --conj_cone_tolerance 4.0357851670394345 --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 2048 --inst_lit_activity_flag true --inst_lit_sel "[+split;-sign;-depth]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[+age;+num_lits;-age];[-age;-min_def_symb;+bc_imp_inh]]" --inst_passive_queues_freq "[2;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 1.0 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+split;-ground;-depth]" --inst_start_prop_sim_after_learn 3 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 256 --proof_out true --prop_solver_per_cl 16384 --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 8 --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 1.00 --show_fool true" --time_out_real 3.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/tnlpr_nr 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/tnlpr_nr_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 4 --comb_sup_mult 6 --conj_cone_tolerance 1.895766803319499 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_pos_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 128 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 13.33 --show_fool true" --time_out_real 40.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/0j8fq5t9 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/0j8fq5t9_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_66020:200.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 16 --comb_mode time_based --comb_res_mult 3 --comb_sup_deep_mult 1 --comb_sup_mult 0 --conj_cone_tolerance 2.250068292082666 --demod_completeness_check fastold --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 32 --inst_lit_activity_flag false --inst_lit_sel "[+ground;+num_var]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-num_lits;-has_eq]]" --inst_passive_queues_freq "[512]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.13028534399813618 --inst_solver_per_active 4096 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+non_prol_conj_symb;-depth;-non_prol_conj_symb;+non_prol_conj_symb;+eq]" --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 128 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver true --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 10000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;SubsumptionRes;FullSubsAndRes;ACJoinability;Connectedness]" --sup_fun_splitting false --sup_immed_bw_immed "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;UnitSubsAndRes;Demod;ACDemod;GroundJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint true --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[-min_def_symb;+reachable_state;-age];[-epr];[+horn;-reachable_state;-num_var]]" --sup_passive_queues_freq "[2;5;15]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 12 --sup_score sim --sup_share_max_num_cl 80 --sup_share_score_frac 0.1 --sup_smt_interval 16384 --sup_symb_ordering random --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 1000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 66.67 --show_fool true" --time_out_real 200.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/kpn6xd_y 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/kpn6xd_y_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65511:44.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 2 --comb_mode clause_based --comb_sup_deep_mult 3 --comb_sup_mult 0 --conj_cone_tolerance 3.378762210374529 --demod_completeness_check full --demod_use_ground false --extra_neg_conj all_pos --inst_activity_threshold 4 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 8192 --inst_lit_activity_flag true --inst_lit_sel "[-conj_symb;-conj_symb;+conj_symb;+num_var;-non_prol_conj_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-has_eq;-conj_dist];[+ground;-min_def_symb]]" --inst_passive_queues_freq "[5;3]" --inst_prop_sim_given true --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.60162165485836 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-conj_symb;-num_symb;+num_var;-eq;+num_var]" --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 16384 --proof_out true --prop_solver_per_cl 128 --resolution_flag false --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 4 --sup_bw_gjoin_interval 1000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm;FwACDemod;BwACDemod;SMTIncr;SMTSet;BwGjoin]" --sup_input_fixpoint true --sup_iter_deepening 8 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[+next_state;-horn;-epr];[+max_atom_input_occur];[-num_lits;-num_lits]]" --sup_passive_queues_freq "[2;1;5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 16 --sup_smt_interval 8192 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 10000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 14.67 --show_fool true" --time_out_real 44.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/cyhj3_ge 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/cyhj3_ge_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_64741:92.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 2 --comb_sup_mult 8 --conj_cone_tolerance 3 --demod_completeness_check fast --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 2048 --inst_lit_activity_flag true --inst_lit_sel "[+split;-sign;-depth]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[+age;+num_lits;-age];[-age;-min_def_symb;+bc_imp_inh]]" --inst_passive_queues_freq "[2;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 1 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+split;-ground;-depth]" --inst_start_prop_sim_after_learn 3 --inst_subs_given true --inst_subs_new false --inst_to_smt_solver false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 256 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver false --resolution_flag false --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 0 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod]" --sup_full_fixpoint true --sup_full_fw "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;LightNorm;ACNormalisation;GroundJoinability]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[UnitSubsAndRes;ACNormalisation]" --sup_immed_fw_main "[UnitSubsAndRes;LightNorm;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[FwDemod;LightNorm]" --sup_input_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACDemod]" --sup_input_fixpoint true --sup_input_fw "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;ACDemod;GroundJoinability]" --sup_input_triv "[Unflattening;SMTSimplify]" --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 12 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 512 --sup_symb_ordering invfreq --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 0 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 30.67 --show_fool true" --time_out_real 92.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/ucrx2jjy 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/ucrx2jjy_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65089:37.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 16 --comb_mode time_based --comb_res_mult 3 --comb_sup_deep_mult 0 --comb_sup_mult 1 --conj_cone_tolerance 2.250068292082666 --demod_completeness_check fastold --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 32 --inst_lit_activity_flag false --inst_lit_sel "[+ground;+num_var]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[-num_lits;-has_eq]]" --inst_passive_queues_freq "[512]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.13028534399813618 --inst_solver_per_active 4096 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+non_prol_conj_symb;-depth;-non_prol_conj_symb;+non_prol_conj_symb;+eq]" --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new true --inst_to_smt_solver false --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 128 --proof_out true --prop_solver_per_cl 32768 --res_to_smt_solver true --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 10000 --sup_cache_sim none --sup_full_bw "[]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;SubsumptionRes;FullSubsAndRes;ACJoinability;Connectedness]" --sup_fun_splitting false --sup_immed_bw_immed "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;UnitSubsAndRes;Demod;ACDemod;GroundJoinability;Connectedness]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint true --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[-min_def_symb;+reachable_state;-age];[-epr];[+horn;-reachable_state;-num_var]]" --sup_passive_queues_freq "[2;5;15]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_score sim --sup_share_max_num_cl 80 --sup_share_score_frac 0.1 --sup_smt_interval 16384 --sup_symb_ordering random --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 1000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 12.33 --show_fool true" --time_out_real 37.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/jf8t4wue 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/jf8t4wue_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65082:303.90500926971436" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 16 --comb_mode time_based --comb_sup_deep_mult 4 --comb_sup_mult 2 --conj_cone_tolerance 3.353232616222183 --demod_completeness_check fastold --demod_use_ground true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp false --inst_learning_loop_flag false --inst_lit_activity_flag false --inst_lit_sel "[+split;-eq;+conj_symb]" --inst_lit_sel_side num_lit --inst_orphan_elimination false --inst_passive_queue_type list --inst_passive_queues "[[-num_lits;+has_eq]]" --inst_passive_queues_freq "[2]" --inst_prop_sim_given false --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.7872231457117155 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+prop;-depth;+sign]" --inst_start_prop_sim_after_learn 7 --inst_subs_given true --inst_subs_new false --inst_to_smt_solver true --instantiation_flag true --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 2048 --proof_out true --prop_solver_per_cl 32768 --resolution_flag false --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 8 --sup_bw_gjoin_interval 0 --sup_cache_sim once --sup_full_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Connectedness]" --sup_fun_splitting true --sup_immed_bw_immed "[Subsumption;UnitSubsAndRes;FullSubsAndRes;ACDemod]" --sup_immed_bw_main "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[]" --sup_immed_fw_main "[]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[]" --sup_input_fixpoint true --sup_iter_deepening 1 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_bound_constant;-has_eq];[+bc_imp_inh];[-min_def_symb;+bc_imp_inh]]" --sup_passive_queues_freq "[10;3;5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 0 --sup_smt_interval 32768 --sup_symb_ordering invfreq --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 500 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.30 --show_fool true" --time_out_real 303.91 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/siv5nu_8 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/siv5nu_8_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65521:304.4196045398712" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 2 --comb_mode time_based --comb_res_mult 64 --comb_sup_deep_mult 6 --comb_sup_mult 3 --conj_cone_tolerance 1.9360817307523468 --demod_completeness_check fastold --demod_use_ground false --extra_neg_conj all_pos_neg --inst_activity_threshold 512 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 64 --inst_lit_activity_flag true --inst_lit_sel "[+sign;-num_var;-eq;-split]" --inst_lit_sel_side none --inst_orphan_elimination false --inst_passive_queue_type list --inst_passive_queues "[[-conj_symb;-conj_symb;-has_eq]]" --inst_passive_queues_freq "[512]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.9997085569109354 --inst_solver_per_active 8 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[-num_symb;-depth]" --inst_start_prop_sim_after_learn 2 --inst_subs_given true --inst_subs_new false --inst_to_smt_solver false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 32 --proof_out true --prop_solver_per_cl 16384 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 128 --sup_bw_gjoin_interval 10000 --sup_cache_sim once --sup_full_bw "[]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[]" --sup_immed_fw_main "[Subsumption;SubsumptionRes;FullSubsAndRes;ACJoinability;ACNormalisation;ACDemod;GroundJoinability;Connectedness]" --sup_immed_triv "[PropSubs;Unflattening]" --sup_indices_passive "[UnitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm;SMTSet]" --sup_input_bw "[]" --sup_input_fixpoint false --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 1 --sup_main_fixpoint false --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[-bc_imp_inh];[-num_var;-next_state];[+conj_non_prolific_symb;+ar_concr;+horn]]" --sup_passive_queues_freq "[6;3;6]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 0 --sup_smt_interval 128 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.47 --show_fool true" --time_out_real 304.42 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/du_6gb5d 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/du_6gb5d_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65512:303.3967263698578" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode clause_based --comb_res_mult 16 --comb_sup_deep_mult 32 --comb_sup_mult 0 --conj_cone_tolerance 1.5624031508375285 --demod_completeness_check full --demod_use_ground false --extra_neg_conj none --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 16384 --proof_out true --prop_solver_per_cl 64 --res_to_smt_solver true --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 10000 --sup_cache_sim once --sup_full_bw "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod]" --sup_full_fixpoint true --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_fun_splitting false --sup_immed_bw_immed "[SubsumptionRes;UnitSubsAndRes;ACDemod]" --sup_immed_bw_main "[Subsumption;SubsumptionRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;UnitSubsAndRes;LightNorm;ACJoinability;ACDemod;GroundJoinability;Connectedness]" --sup_immed_fw_main "[UnitSubsAndRes;Demod;ACJoinability;ACNormalisation;GroundJoinability]" --sup_immed_triv "[]" --sup_indices_passive "[UnitSubsumption;Subsumption;BwDemod;FwACDemod;SMTSet]" --sup_input_fixpoint true --sup_iter_deepening 8 --sup_main_fixpoint false --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[-conj_symb;+ar_concr]]" --sup_passive_queues_freq "[2]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_smt_interval 1024 --sup_symb_ordering arity_random --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 1000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.13 --show_fool true" --time_out_real 303.40 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/y47pcvv3 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/y47pcvv3_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65522:16.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode clause_based --comb_sup_deep_mult 64 --comb_sup_mult 0 --conj_cone_tolerance 4.858427083539148 --demod_completeness_check fastold --demod_use_ground false --extra_neg_conj all_pos --instantiation_flag false --out_options none --prep_sup_sim_all false --prep_sup_sim_sup true --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 512 --proof_out true --prop_solver_per_cl 32 --resolution_flag false --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 10000 --sup_cache_sim once --sup_full_bw "[]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[SubsumptionRes;Demod;LightNorm;ACJoinability;ACNormalisation;ACDemod]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;ACDemod]" --sup_input_fixpoint false --sup_input_fw "[]" --sup_input_triv "[]" --sup_iter_deepening 2 --sup_main_fixpoint false --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[-num_var];[-max_atom_input_occur;-conj_non_prolific_symb];[+conj_symb;+has_bound_constant]]" --sup_passive_queues_freq "[6;6;6]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 0 --sup_smt_interval 512 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 500 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 5.33 --show_fool true" --time_out_real 16.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/og2bcmoo 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/og2bcmoo_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_66004:17.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode clause_based --comb_sup_deep_mult 64 --comb_sup_mult 1 --conj_cone_tolerance 4.9771355199772405 --demod_completeness_check off --demod_use_ground true --extra_neg_conj all_pos --instantiation_flag false --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 16384 --proof_out true --prop_solver_per_cl 1024 --resolution_flag false --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult -1 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[SubsumptionRes;Demod]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting true --sup_immed_bw_immed "[Subsumption;UnitSubsAndRes;Demod]" --sup_immed_bw_main "[]" --sup_immed_fixpoint true --sup_immed_fw_immed "[]" --sup_immed_fw_main "[SubsumptionRes;UnitSubsAndRes;Demod;LightNorm;ACJoinability;ACNormalisation;Connectedness]" --sup_immed_triv "[PropSubs;Unflattening]" --sup_indices_passive "[]" --sup_input_bw "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;ACDemod]" --sup_input_fixpoint true --sup_input_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;LightNorm;ACJoinability;ACDemod;Connectedness]" --sup_input_triv "[]" --sup_iter_deepening 2 --sup_main_fixpoint false --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[-conj_symb;-horn];[-score;+conj_non_prolific_symb;+conj_symb];[+next_state;+score]]" --sup_passive_queues_freq "[15;2;15]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 8 --sup_score sim --sup_share_max_num_cl 10000 --sup_share_score_frac 0.1 --sup_smt_interval 65536 --sup_symb_ordering invfreq_invarity --sup_term_weight default --sup_to_prop_solver active --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 5.67 --show_fool true" --time_out_real 17.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/76qr6uys 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/76qr6uys_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_65518:302.87384057044983" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode clause_based --comb_sup_deep_mult 8 --comb_sup_mult 4 --conj_cone_tolerance 1.186441404966287 --demod_completeness_check full --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 4096 --proof_out true --prop_solver_per_cl 512 --resolution_flag false --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 2 --sup_bw_gjoin_interval 10 --sup_cache_sim none --sup_full_bw "[SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;LightNorm;ACJoinability;ACNormalisation;GroundJoinability]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint false --sup_immed_fw_immed "[]" --sup_immed_fw_main "[ACJoinability;ACDemod]" --sup_immed_triv "[PropSubs;Unflattening]" --sup_indices_passive "[SMTIncr]" --sup_input_fixpoint false --sup_iter_deepening 0 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type queue --sup_passive_queues "[[-conj_dist;-ground];[+conj_dist]]" --sup_passive_queues_freq "[8;5]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 8 --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.9 --sup_smt_interval 32 --sup_symb_ordering arity --sup_term_weight default --sup_to_prop_solver active --sup_unprocessed_bound 500 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 100.96 --show_fool true" --time_out_real 302.87 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/tqs6lfze 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/tqs6lfze_error
% 15.67/3.88 ERROR - "ProverProcess:heur/vip_66019:303.3912618160248" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 15.67/3.88 Fatal error: exception Failure("undefined enum value")
% 15.67/3.88 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 4 --comb_sup_mult 0 --conj_cone_tolerance 1.9530837400095074 --demod_completeness_check fast --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --prep_sup_sim_all true --prep_sup_sim_sup true --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 32768 --proof_out true --prop_solver_per_cl 1024 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 2 --sup_bw_gjoin_interval 1000 --sup_cache_sim all --sup_full_bw "[]" --sup_full_fixpoint true --sup_full_fw "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fixpoint true --sup_immed_fw_immed "[SubsumptionRes;FullSubsAndRes;Demod;ACNormalisation;ACDemod]" --sup_immed_fw_main "[Subsumption;Demod;ACJoinability;GroundJoinability]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fixpoint false --sup_input_fw "[UnitSubsAndRes;Demod;ACJoinability;ACNormalisation;ACDemod;GroundJoinability;Connectedness]" --sup_input_triv "[]" --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering kbo --sup_passive_queue_type queue --sup_passive_queues "[[+ground;-reachable_state];[-num_var;-conj_symb]]" --sup_passive_queues_freq "[8;8]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_score sim_gen --sup_share_max_num_cl 160 --sup_share_score_frac 0.8 --sup_smt_interval 65536 --sup_symb_ordering invfreq_invarity --sup_term_weight default --sup_to_prop_solver none --sup_unprocessed_bound 10000 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.13 --show_fool true" --time_out_real 303.39 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/558o1nez 2>> /export/starexec/sandbox/tmp/iprover_out_a6yyebwo/558o1nez_error
% 15.67/3.88 % SZS status Theorem for theBenchmark.p
% 15.67/3.88
% 15.67/3.88 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.67/3.88
% 15.67/3.88 % ------ iProver source info
% 15.67/3.88
% 15.67/3.88 % git: date: 2026-07-19 20:42:38 +0200
% 15.67/3.88 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.67/3.88 % git: non_committed_changes: false
% 15.67/3.88
% 15.67/3.88 % ------ Parsing...
% 15.67/3.88 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 15.67/3.88 % ------ Proving...
% 15.67/3.88 % ------ Problem Properties
% 15.67/3.88
% 15.67/3.88 %
% 15.67/3.88 % clauses 1055
% 15.67/3.88 % conjectures 6
% 15.67/3.88 % EPR 117
% 15.67/3.88 % Horn 658
% 15.67/3.88 % unary 184
% 15.67/3.88 % binary 299
% 15.67/3.88 % lits 2684
% 15.67/3.88 % lits eq 435
% 15.67/3.88 % fd_pure 1
% 15.67/3.88 % fd_pseudo 0
% 15.67/3.88 % fd_cond 20
% 15.67/3.88 % fd_pseudo_cond 71
% 15.67/3.88 % AC symbols 2
% 15.67/3.88
% 15.67/3.88 % ------ Input Options Time Limit: Unbounded
% 15.67/3.88
% 15.67/3.88
% 15.67/3.88 % ------
% 15.67/3.88 % Current options:
% 15.67/3.88 % ------
% 15.67/3.88
% 15.67/3.88
% 15.67/3.88 %
% 15.67/3.88
% 15.67/3.88 % ------ Proving...
% 15.67/3.88 %
% 15.67/3.88
% 15.67/3.88 % SZS status Theorem for theBenchmark.p
% 15.67/3.88
% 15.67/3.88 % SZS output start CNFRefutation for theBenchmark.p
% 15.67/3.88
% 15.67/3.88 tff(func_def_0, type, 'n_0$': 'Nat$').
% 15.67/3.88 tff(pred_def_1, type, 'fun_app$c': ('Nat_bool_fun$' * 'Nat$') > $o).
% 15.67/3.88 tff(pred_def_2, type, 'fun_app$': ('Int_bool_fun$' * $int) > $o).
% 15.67/3.88 tff(pred_def_3, type, 'antimono$': 'Nat_int_fun$' > $o).
% 15.67/3.88 tff(pred_def_4, type, 'antimono$a': 'Int_int_fun$' > $o).
% 15.67/3.88 tff(func_def_5, type, 'nat$': 'Int_nat_fun$').
% 15.67/3.88 tff(func_def_6, type, 'times$a': 'Nat$' > 'Nat_nat_fun$').
% 15.67/3.88 tff(pred_def_7, type, sP0: ($int * $int * $int) > $o).
% 15.67/3.88 tff(pred_def_8, type, sP1: ($int * $int * $int) > $o).
% 15.67/3.88 tff(pred_def_9, type, sP2: ($int * $int * $int) > $o).
% 15.67/3.88 tff(func_def_10, type, 'of_int$': 'Int_int_fun$').
% 15.67/3.88 tff(func_def_11, type, 'times$': $int > 'Int_int_fun$').
% 15.67/3.88 tff(func_def_12, type, 'less$': 'Nat_nat_bool_fun_fun$').
% 15.67/3.88 tff(func_def_13, type, tltrue: tlbool).
% 15.67/3.88 tff(func_def_14, type, 'greatest$': 'Int_bool_fun$' > $int).
% 15.67/3.88 tff(func_def_15, type, 'one$': 'Nat$').
% 15.67/3.88 tff(func_def_16, type, 'fun_app$e': ('Nat_nat_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_17, type, 'fun_app$g': ('Int_int_fun$' * $int) > $int).
% 15.67/3.88 tff(func_def_18, type, 'less_eq$': 'Nat_nat_bool_fun_fun$').
% 15.67/3.88 tff(func_def_19, type, 'p$': 'Nat_bool_fun$').
% 15.67/3.88 tff(func_def_20, type, tlfalse: tlbool).
% 15.67/3.88 tff(func_def_21, type, 'greatest$a': 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_22, type, 'fun_app$b': ('Nat_int_fun$' * 'Nat$') > $int).
% 15.67/3.88 tff(func_def_28, type, sK3: 'Nat$').
% 15.67/3.88 tff(func_def_29, type, sK4: 'Nat$').
% 15.67/3.88 tff(func_def_30, type, sK5: 'Nat$').
% 15.67/3.88 tff(func_def_31, type, sK6: 'Nat$').
% 15.67/3.88 tff(func_def_32, type, sK7: 'Nat$').
% 15.67/3.88 tff(func_def_33, type, sK8: 'Nat$').
% 15.67/3.88 tff(func_def_34, type, sK9: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_35, type, sK10: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_36, type, sK11: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_37, type, sK12: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_38, type, sK13: 'Nat$' > 'Nat$').
% 15.67/3.88 tff(func_def_39, type, sK14: $int > $int).
% 15.67/3.88 tff(func_def_40, type, sK15: 'Nat$' > 'Nat$').
% 15.67/3.88 tff(func_def_41, type, sK16: $int > $int).
% 15.67/3.88 tff(func_def_42, type, sK17: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_43, type, sK18: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_44, type, sK19: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_45, type, sK20: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_46, type, sK21: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_47, type, sK22: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_48, type, sK23: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_49, type, sK24: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_50, type, sK25: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_51, type, sK26: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_52, type, sK27: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_53, type, sK28: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_54, type, sK29: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_55, type, sK30: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_56, type, sK31: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_57, type, sK32: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_58, type, sK33: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_59, type, sK34: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_60, type, sK35: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_61, type, sK36: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_62, type, sK37: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_63, type, sK38: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_64, type, sK39: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_65, type, sK40: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_66, type, sK41: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_67, type, sK42: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_68, type, sK43: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_69, type, sK44: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_70, type, sK45: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_71, type, sK46: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_72, type, sK47: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_73, type, sK48: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_74, type, sK49: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_75, type, sK50: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_76, type, sK51: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_77, type, sK52: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_78, type, sK53: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_79, type, sK54: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_80, type, sK55: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_81, type, sK56: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_82, type, sK57: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_83, type, sK58: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_84, type, sK59: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_85, type, sK60: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_86, type, sK61: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_87, type, sK62: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_88, type, sK63: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_89, type, sK64: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_90, type, sK65: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_91, type, sK66: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_92, type, sK67: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_93, type, sK68: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_94, type, sK69: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_95, type, sK70: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_96, type, sK71: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_97, type, sK72: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_98, type, sK73: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_99, type, sK74: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_100, type, sK75: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_101, type, sK76: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_102, type, sK77: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_103, type, sK78: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_104, type, sK79: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_105, type, sK80: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_106, type, sK81: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_107, type, sK82: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_108, type, sK83: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_109, type, sK84: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_110, type, sK85: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_111, type, sK86: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_112, type, sK87: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_113, type, sK88: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_114, type, sK89: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_115, type, sK90: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_116, type, sK91: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_117, type, sK92: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_118, type, sK93: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_119, type, sK94: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_120, type, sK95: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_121, type, sK96: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_122, type, sK97: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_123, type, sK98: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_124, type, sK99: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_125, type, sK100: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_126, type, sK101: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_127, type, sK102: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_128, type, sK103: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_129, type, sK104: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_130, type, sK105: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_131, type, sK106: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_132, type, sK107: ('Nat$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_133, type, sK108: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_134, type, sK109: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_135, type, sK110: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_136, type, sK111: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_137, type, sK112: ('Nat$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_138, type, sK113: ('Nat$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_139, type, sK114: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_140, type, sK115: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_141, type, sK116: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_142, type, sK117: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_143, type, sK118: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_144, type, sK119: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_145, type, sK120: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_146, type, sK121: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_147, type, sK122: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_148, type, sK123: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_149, type, sK124: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_150, type, sK125: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_151, type, sK126: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_152, type, sK127: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_153, type, sK128: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_154, type, sK129: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_155, type, sK130: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_156, type, sK131: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_157, type, sK132: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_158, type, sK133: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_159, type, sK134: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_160, type, sK135: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_161, type, sK136: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_162, type, sK137: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_163, type, sK138: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_164, type, sK139: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_165, type, sK140: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_166, type, sK141: 'Nat_int_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_167, type, sK142: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_168, type, sK143: 'Int_nat_fun$' > $int).
% 15.67/3.88 tff(func_def_169, type, sK144: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_170, type, sK145: 'Nat_nat_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_171, type, sK146: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_172, type, sK147: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_173, type, sK148: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_174, type, sK149: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_175, type, sK150: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_176, type, sK151: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_177, type, sK152: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_178, type, sK153: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_179, type, sK154: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_180, type, sK155: 'Int_int_bool_fun_fun$' > $int).
% 15.67/3.88 tff(func_def_181, type, sK156: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_182, type, sK157: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_183, type, sK158: ('Nat$' * 'Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_184, type, sK159: ('Nat$' * 'Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_185, type, sK160: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_186, type, sK161: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_187, type, sK162: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_188, type, sK163: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_189, type, sK164: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_190, type, sK165: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_191, type, sK166: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_192, type, sK167: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_193, type, sK168: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_194, type, sK169: ('Int_bool_fun$' * $int) > $int).
% 15.67/3.88 tff(func_def_195, type, sK170: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_196, type, sK171: ('Int_bool_fun$' * $int) > $int).
% 15.67/3.88 tff(func_def_197, type, sK172: ('Int_bool_fun$' * 'Int_bool_fun$') > $int).
% 15.67/3.88 tff(func_def_198, type, sK173: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_199, type, sK174: ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_200, type, sK175: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_201, type, sK176: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_202, type, sK177: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_203, type, sK178: 'Int_int_fun$' > $int).
% 15.67/3.88 tff(func_def_204, type, sK179: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_205, type, sK180: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_206, type, sK181: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_207, type, sK182: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_208, type, sK183: 'Nat$' > 'Nat$').
% 15.67/3.88 tff(func_def_209, type, sK184: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_210, type, sK185: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_211, type, sK186: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_212, type, sK187: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_213, type, sK188: 'Nat_nat_bool_fun_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_214, type, sK189: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_215, type, sK190: 'Nat$' > 'Nat$').
% 15.67/3.88 tff(func_def_216, type, sK191: 'Nat_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_217, type, sK192: ('Nat$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_218, type, sK193: 'Nat$' > 'Nat$').
% 15.67/3.88 tff(func_def_219, type, sK194: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_220, type, sK195: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_221, type, sK196: 'Nat$' > 'Nat$').
% 15.67/3.88 tff(func_def_222, type, sK197: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_223, type, sK198: ('Nat$' * 'Nat_bool_fun$') > 'Nat$').
% 15.67/3.88 tff(func_def_224, type, sK199: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 15.67/3.88 tff(func_def_225, type, sK200: $int > 'Nat$').
% 15.67/3.88 tff(func_def_226, type, sK201: $int > 'Nat$').
% 15.67/3.88 tff(func_def_227, type, sK202: $int > 'Nat$').
% 15.67/3.88 tff(func_def_228, type, sK203: $int > 'Nat$').
% 15.67/3.88 tff(func_def_229, type, sK204: $int > 'Nat$').
% 15.67/3.88 tff(func_def_230, type, sK205: 'Int_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_231, type, sK206: 'Int_bool_fun$' > 'Nat$').
% 15.67/3.88 tff(func_def_232, type, sK207: $int > 'Nat$').
% 15.67/3.88 tff(func_def_233, type, sK208: $int > 'Nat$').
% 15.67/3.88 tff(func_def_234, type, sK209: $int > 'Nat$').
% 15.67/3.88 tff(func_def_235, type, sK210: $int > 'Nat$').
% 15.67/3.88 tff(func_def_236, type, sK211: $int > 'Nat$').
% 15.67/3.88 tff(func_def_237, type, sK212: $int > 'Nat$').
% 15.67/3.88 tff(func_def_238, type, sK213: $int > 'Nat$').
% 15.67/3.88 tff(func_def_239, type, sK214: ('Nat_bool_fun$' * $int) > 'Nat$').
% 15.67/3.88 tff(func_def_240, type, sK215: $int > 'Nat$').
% 15.67/3.88 tff(func_def_241, type, sK216: $int > 'Nat$').
% 15.67/3.88 tff(func_def_242, type, sK217: $int > 'Nat$').
% 15.67/3.88 tff(f5,axiom,(
% 15.67/3.88 ! [X0 : 'Nat$'] : (('fun_app$b'('of_nat$',X0) = 'fun_app$b'('of_nat$','n_0$') | $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0))) => 'fun_app$c'('p$',X0)) <=> ('fun_app$c'('p$','n_0$') & ! [X0 : 'Nat$'] : ($less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)) => 'fun_app$c'('p$',X0)))),
% 15.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3)).
% 15.67/3.88
% 15.67/3.88 tff(f248,axiom,(
% 15.67/3.88 ! [X0 : $int,X1 : $int,X2 : $int] : (($lesseq(X0,X1) & $lesseq(X1,X2)) => $lesseq(X0,X2))),
% 15.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom246)).
% 15.67/3.88
% 15.67/3.88 tff(f255,axiom,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : (~$lesseq(X0,X1) <=> ($lesseq(X1,X0) & X1 != X0))),
% 15.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom253)).
% 15.67/3.88
% 15.67/3.88 tff(f294,axiom,(
% 15.67/3.88 ! [X0 : $int] : ($less(X0,X0) <=> $false)),
% 15.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom292)).
% 15.67/3.88
% 15.67/3.88 tff(f404,axiom,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : ((X0 != X1 & ($less(X0,X1) => $false) & ($less(X1,X0) => $false)) => $false)),
% 15.67/3.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom402)).
% 15.67/3.88
% 15.67/3.88 tff(f702,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X1,X0) & ~$less(X2,X1)) => ~$less(X2,X0))),
% 15.67/3.88 inference(theory_normalization,[],[f248])).
% 15.67/3.88
% 15.67/3.88 tff(f708,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : ($less(X1,X0) <=> (~$less(X0,X1) & X1 != X0))),
% 15.67/3.88 inference(theory_normalization,[],[f255])).
% 15.67/3.88
% 15.67/3.88 tff(f859,plain,(
% 15.67/3.88 ! [X0 : 'Nat$'] : (('fun_app$b'('of_nat$',X0) = 'fun_app$b'('of_nat$','n_0$') | $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0))) => 'fun_app$c'('p$',X0)) <=> ('fun_app$c'('p$','n_0$') & ! [X1 : 'Nat$'] : ($less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X1)) => 'fun_app$c'('p$',X1)))),
% 15.67/3.88 inference(rectify,[],[f5])).
% 15.67/3.88
% 15.67/3.88 tff(f922,plain,(
% 15.67/3.88 ! [X0 : $int] : ~ $less(X0,X0)),
% 15.67/3.88 inference(true_and_false_elimination,[],[f294])).
% 15.67/3.88
% 15.67/3.88 tff(f923,plain,(
% 15.67/3.88 ! [X0 : $int] : ~$less(X0,X0)),
% 15.67/3.88 inference(flattening,[],[f922])).
% 15.67/3.88
% 15.67/3.88 tff(f942,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : ~(X0 != X1 & ~ $less(X0,X1) & ~ $less(X1,X0))),
% 15.67/3.88 inference(true_and_false_elimination,[],[f404])).
% 15.67/3.88
% 15.67/3.88 tff(f943,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : ~(X0 != X1 & ~$less(X0,X1) & ~$less(X1,X0))),
% 15.67/3.88 inference(flattening,[],[f942])).
% 15.67/3.88
% 15.67/3.88 tff(f963,plain,(
% 15.67/3.88 ! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$','n_0$'))) <~> ('fun_app$c'('p$','n_0$') & ! [X1 : 'Nat$'] : ('fun_app$c'('p$',X1) | $less('fun_app$b'('of_nat$',X1),$sum('fun_app$b'('of_nat$','n_0$'),1))))),
% 15.67/3.88 inference(ennf_transformation,[],[f858])).
% 15.67/3.88
% 15.67/3.88 tff(f964,plain,(
% 15.67/3.88 ! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | ('fun_app$b'('of_nat$','n_0$') != 'fun_app$b'('of_nat$',X0) & ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)))) <=> ('fun_app$c'('p$','n_0$') & ! [X1 : 'Nat$'] : ('fun_app$c'('p$',X1) | ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X1))))),
% 15.67/3.88 inference(ennf_transformation,[],[f859])).
% 15.67/3.88
% 15.67/3.88 tff(f1248,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X2,X0) | ($less(X1,X0) | $less(X2,X1)))),
% 15.67/3.88 inference(ennf_transformation,[],[f702])).
% 15.67/3.88
% 15.67/3.88 tff(f1249,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X2,X0) | $less(X1,X0) | $less(X2,X1))),
% 15.67/3.88 inference(flattening,[],[f1248])).
% 15.67/3.88
% 15.67/3.88 tff(f1342,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : (X0 = X1 | $less(X0,X1) | $less(X1,X0))),
% 15.67/3.88 inference(ennf_transformation,[],[f943])).
% 15.67/3.88
% 15.67/3.88 tff(f1532,plain,(
% 15.67/3.88 ((~'fun_app$c'('p$','n_0$') | ? [X1 : 'Nat$'] : (~'fun_app$c'('p$',X1) & ~$less('fun_app$b'('of_nat$',X1),$sum('fun_app$b'('of_nat$','n_0$'),1)))) | ? [X0 : 'Nat$'] : (~'fun_app$c'('p$',X0) & ~$less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$','n_0$')))) & (('fun_app$c'('p$','n_0$') & ! [X1 : 'Nat$'] : ('fun_app$c'('p$',X1) | $less('fun_app$b'('of_nat$',X1),$sum('fun_app$b'('of_nat$','n_0$'),1)))) | ! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$','n_0$'))))),
% 15.67/3.88 inference(nnf_transformation,[],[f963])).
% 15.67/3.88
% 15.67/3.88 tff(f1533,plain,(
% 15.67/3.88 (~'fun_app$c'('p$','n_0$') | ? [X1 : 'Nat$'] : (~'fun_app$c'('p$',X1) & ~$less('fun_app$b'('of_nat$',X1),$sum('fun_app$b'('of_nat$','n_0$'),1))) | ? [X0 : 'Nat$'] : (~'fun_app$c'('p$',X0) & ~$less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$','n_0$')))) & (('fun_app$c'('p$','n_0$') & ! [X1 : 'Nat$'] : ('fun_app$c'('p$',X1) | $less('fun_app$b'('of_nat$',X1),$sum('fun_app$b'('of_nat$','n_0$'),1)))) | ! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$','n_0$'))))),
% 15.67/3.88 inference(flattening,[],[f1532])).
% 15.67/3.88
% 15.67/3.88 tff(f1534,plain,(
% 15.67/3.88 (~'fun_app$c'('p$','n_0$') | ? [X0 : 'Nat$'] : (~'fun_app$c'('p$',X0) & ~$less('fun_app$b'('of_nat$',X0),$sum('fun_app$b'('of_nat$','n_0$'),1))) | ? [X1 : 'Nat$'] : (~'fun_app$c'('p$',X1) & ~$less('fun_app$b'('of_nat$',X1),'fun_app$b'('of_nat$','n_0$')))) & (('fun_app$c'('p$','n_0$') & ! [X2 : 'Nat$'] : ('fun_app$c'('p$',X2) | $less('fun_app$b'('of_nat$',X2),$sum('fun_app$b'('of_nat$','n_0$'),1)))) | ! [X3 : 'Nat$'] : ('fun_app$c'('p$',X3) | $less('fun_app$b'('of_nat$',X3),'fun_app$b'('of_nat$','n_0$'))))),
% 15.67/3.88 inference(rectify,[],[f1533])).
% 15.67/3.88
% 15.67/3.88 tff(f1535,plain,(
% 15.67/3.88 (~'fun_app$c'('p$','n_0$') | (~'fun_app$c'('p$',sK3) & ~$less('fun_app$b'('of_nat$',sK3),$sum('fun_app$b'('of_nat$','n_0$'),1))) | (~'fun_app$c'('p$',sK4) & ~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$')))) & (('fun_app$c'('p$','n_0$') & ! [X2 : 'Nat$'] : ('fun_app$c'('p$',X2) | $less('fun_app$b'('of_nat$',X2),$sum('fun_app$b'('of_nat$','n_0$'),1)))) | ! [X3 : 'Nat$'] : ('fun_app$c'('p$',X3) | $less('fun_app$b'('of_nat$',X3),'fun_app$b'('of_nat$','n_0$'))))),
% 15.67/3.88 inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f1534])).
% 15.67/3.88
% 15.67/3.88 tff(f1537,plain,(
% 15.67/3.88 (! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | ('fun_app$b'('of_nat$','n_0$') != 'fun_app$b'('of_nat$',X0) & ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)))) | (~'fun_app$c'('p$','n_0$') | ? [X1 : 'Nat$'] : (~'fun_app$c'('p$',X1) & $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X1))))) & (('fun_app$c'('p$','n_0$') & ! [X1 : 'Nat$'] : ('fun_app$c'('p$',X1) | ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X1)))) | ? [X0 : 'Nat$'] : (~'fun_app$c'('p$',X0) & ('fun_app$b'('of_nat$','n_0$') = 'fun_app$b'('of_nat$',X0) | $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)))))),
% 15.67/3.88 inference(nnf_transformation,[],[f964])).
% 15.67/3.88
% 15.67/3.88 tff(f1538,plain,(
% 15.67/3.88 (! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | ('fun_app$b'('of_nat$','n_0$') != 'fun_app$b'('of_nat$',X0) & ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)))) | ~'fun_app$c'('p$','n_0$') | ? [X1 : 'Nat$'] : (~'fun_app$c'('p$',X1) & $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X1)))) & (('fun_app$c'('p$','n_0$') & ! [X1 : 'Nat$'] : ('fun_app$c'('p$',X1) | ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X1)))) | ? [X0 : 'Nat$'] : (~'fun_app$c'('p$',X0) & ('fun_app$b'('of_nat$','n_0$') = 'fun_app$b'('of_nat$',X0) | $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)))))),
% 15.67/3.88 inference(flattening,[],[f1537])).
% 15.67/3.88
% 15.67/3.88 tff(f1539,plain,(
% 15.67/3.88 (! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | ('fun_app$b'('of_nat$','n_0$') != 'fun_app$b'('of_nat$',X0) & ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)))) | ~'fun_app$c'('p$','n_0$') | ? [X1 : 'Nat$'] : (~'fun_app$c'('p$',X1) & $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X1)))) & (('fun_app$c'('p$','n_0$') & ! [X2 : 'Nat$'] : ('fun_app$c'('p$',X2) | ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X2)))) | ? [X3 : 'Nat$'] : (~'fun_app$c'('p$',X3) & ('fun_app$b'('of_nat$','n_0$') = 'fun_app$b'('of_nat$',X3) | $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X3)))))),
% 15.67/3.88 inference(rectify,[],[f1538])).
% 15.67/3.88
% 15.67/3.88 tff(f1540,plain,(
% 15.67/3.88 (! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | ('fun_app$b'('of_nat$','n_0$') != 'fun_app$b'('of_nat$',X0) & ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0)))) | ~'fun_app$c'('p$','n_0$') | (~'fun_app$c'('p$',sK5) & $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK5)))) & (('fun_app$c'('p$','n_0$') & ! [X2 : 'Nat$'] : ('fun_app$c'('p$',X2) | ~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X2)))) | (~'fun_app$c'('p$',sK6) & ('fun_app$b'('of_nat$','n_0$') = 'fun_app$b'('of_nat$',sK6) | $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK6)))))),
% 15.67/3.88 inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5),skolemize(X3,sK6)],[f1539])).
% 15.67/3.88
% 15.67/3.88 tff(f1722,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : (($less(X1,X0) | ($less(X0,X1) | X0 = X1)) & ((~$less(X0,X1) & X1 != X0) | ~$less(X1,X0)))),
% 15.67/3.88 inference(nnf_transformation,[],[f708])).
% 15.67/3.88
% 15.67/3.88 tff(f1723,plain,(
% 15.67/3.88 ! [X0 : $int,X1 : $int] : (($less(X1,X0) | $less(X0,X1) | X0 = X1) & ((~$less(X0,X1) & X1 != X0) | ~$less(X1,X0)))),
% 15.67/3.88 inference(flattening,[],[f1722])).
% 15.67/3.88
% 15.67/3.88 tff(f1951,plain,(
% 15.67/3.88 ( ! [X2 : 'Nat$',X3 : 'Nat$'] : ('fun_app$c'('p$',X2) | $less('fun_app$b'('of_nat$',X2),$sum('fun_app$b'('of_nat$','n_0$'),1)) | 'fun_app$c'('p$',X3) | $less('fun_app$b'('of_nat$',X3),'fun_app$b'('of_nat$','n_0$'))) )),
% 15.67/3.88 inference(cnf_transformation,[],[f1535])).
% 15.67/3.88
% 15.67/3.88 tff(f1952,plain,(
% 15.67/3.88 ( ! [X3 : 'Nat$'] : ('fun_app$c'('p$','n_0$') | 'fun_app$c'('p$',X3) | $less('fun_app$b'('of_nat$',X3),'fun_app$b'('of_nat$','n_0$'))) )),
% 15.67/3.88 inference(cnf_transformation,[],[f1535])).
% 15.67/3.88
% 15.67/3.88 tff(f1953,plain,(
% 15.67/3.88 ~'fun_app$c'('p$','n_0$') | ~$less('fun_app$b'('of_nat$',sK3),$sum('fun_app$b'('of_nat$','n_0$'),1)) | ~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))),
% 15.67/3.88 inference(cnf_transformation,[],[f1535])).
% 15.67/3.88
% 15.67/3.88 tff(f1954,plain,(
% 15.67/3.88 ~'fun_app$c'('p$','n_0$') | ~$less('fun_app$b'('of_nat$',sK3),$sum('fun_app$b'('of_nat$','n_0$'),1)) | ~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(cnf_transformation,[],[f1535])).
% 15.67/3.88
% 15.67/3.88 tff(f1955,plain,(
% 15.67/3.88 ~'fun_app$c'('p$','n_0$') | ~'fun_app$c'('p$',sK3) | ~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))),
% 15.67/3.88 inference(cnf_transformation,[],[f1535])).
% 15.67/3.88
% 15.67/3.88 tff(f1956,plain,(
% 15.67/3.88 ~'fun_app$c'('p$','n_0$') | ~'fun_app$c'('p$',sK3) | ~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(cnf_transformation,[],[f1535])).
% 15.67/3.88
% 15.67/3.88 tff(f1965,plain,(
% 15.67/3.88 ( ! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | 'fun_app$b'('of_nat$','n_0$') != 'fun_app$b'('of_nat$',X0) | ~'fun_app$c'('p$','n_0$') | $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK5))) )),
% 15.67/3.88 inference(cnf_transformation,[],[f1540])).
% 15.67/3.88
% 15.67/3.88 tff(f1966,plain,(
% 15.67/3.88 ( ! [X0 : 'Nat$'] : ('fun_app$c'('p$',X0) | 'fun_app$b'('of_nat$','n_0$') != 'fun_app$b'('of_nat$',X0) | ~'fun_app$c'('p$','n_0$') | ~'fun_app$c'('p$',sK5)) )),
% 15.67/3.88 inference(cnf_transformation,[],[f1540])).
% 15.67/3.88
% 15.67/3.88 tff(f2389,plain,(
% 15.67/3.88 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,X0) | $less(X1,X0) | $less(X2,X1)) )),
% 15.67/3.88 inference(cnf_transformation,[],[f1249])).
% 15.67/3.88
% 15.67/3.88 tff(f2412,plain,(
% 15.67/3.88 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X0)) )),
% 15.67/3.88 inference(cnf_transformation,[],[f1723])).
% 15.67/3.88
% 15.67/3.88 tff(f2495,plain,(
% 15.67/3.88 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 15.67/3.88 inference(cnf_transformation,[],[f923])).
% 15.67/3.88
% 15.67/3.88 tff(f2685,plain,(
% 15.67/3.88 ( ! [X0 : $int,X1 : $int] : (X0 = X1 | $less(X0,X1) | $less(X1,X0)) )),
% 15.67/3.88 inference(cnf_transformation,[],[f1342])).
% 15.67/3.88
% 15.67/3.88 tcf(c_49,plain,![X0_int:$int,X1_int:$int]:
% 15.67/3.88 (~$less(X0_int,$sum(X1_int,1))|~$less(X1_int,X0_int)),
% 15.67/3.88 inference(cnf_transformation,[],[f857])).
% 15.67/3.88
% 15.67/3.88 tcf(c_57,plain,![X0_int:$int,X1_int:$int]:
% 15.67/3.88 ($less(X0_int,$sum(X1_int,1))|$less(X1_int,X0_int)),
% 15.67/3.88 inference(cnf_transformation,[],[f849])).
% 15.67/3.88
% 15.67/3.88 tcf(c_69,negated_conjecture,
% 15.67/3.88 (~'fun_app$c'('p$','n_0$')|~'fun_app$c'('p$',sK3)|~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(cnf_transformation,[],[f1956])).
% 15.67/3.88
% 15.67/3.88 tcf(c_70,negated_conjecture,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 ~'fun_app$c'('p$','n_0$')|~'fun_app$c'('p$',sK3)),
% 15.67/3.88 inference(cnf_transformation,[],[f1955])).
% 15.67/3.88
% 15.67/3.88 tcf(c_71,negated_conjecture,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK3),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 ~'fun_app$c'('p$','n_0$')|~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(cnf_transformation,[],[f1954])).
% 15.67/3.88
% 15.67/3.88 tcf(c_72,negated_conjecture,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK3),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 ~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 ~'fun_app$c'('p$','n_0$')),
% 15.67/3.88 inference(cnf_transformation,[],[f1953])).
% 15.67/3.88
% 15.67/3.88 tcf(c_73,negated_conjecture,![X0_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')|'fun_app$c'('p$','n_0$')),
% 15.67/3.88 inference(cnf_transformation,[],[f1952])).
% 15.67/3.88
% 15.67/3.88 tcf(c_74,negated_conjecture,![X0_'Nat':'Nat$',X1_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 $less('fun_app$b'('of_nat$',X1_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')|'fun_app$c'('p$',X1_'Nat')),
% 15.67/3.88 inference(cnf_transformation,[],[f1951])).
% 15.67/3.88
% 15.67/3.88 tcf(c_77,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ('fun_app$b'('of_nat$',X0_'Nat') != 'fun_app$b'('of_nat$','n_0$')|
% 15.67/3.88 ~'fun_app$c'('p$','n_0$')|~'fun_app$c'('p$',sK5)|'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(cnf_transformation,[],[f1966])).
% 15.67/3.88
% 15.67/3.88 tcf(c_78,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ('fun_app$b'('of_nat$',X0_'Nat') != 'fun_app$b'('of_nat$','n_0$')|
% 15.67/3.88 ~'fun_app$c'('p$','n_0$')|$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK5))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(cnf_transformation,[],[f1965])).
% 15.67/3.88
% 15.67/3.88 tcf(c_483,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:
% 15.67/3.88 (~$less(X0_int,X1_int)|$less(X0_int,X2_int)|$less(X2_int,X1_int)),
% 15.67/3.88 inference(cnf_transformation,[],[f2389])).
% 15.67/3.88
% 15.67/3.88 tcf(c_504,plain,![X0_int:$int,X1_int:$int]:
% 15.67/3.88 (~$less(X0_int,X1_int)|~$less(X1_int,X0_int)),
% 15.67/3.88 inference(cnf_transformation,[],[f2412])).
% 15.67/3.88
% 15.67/3.88 tcf(c_585,plain,![X0_int:$int]:
% 15.67/3.88 (~$less(X0_int,X0_int)),
% 15.67/3.88 inference(cnf_transformation,[],[f2495])).
% 15.67/3.88
% 15.67/3.88 tcf(c_744,plain,![X0_int:$int,X1_int:$int]:
% 15.67/3.88 (X0_int = X1_int|$less(X0_int,X1_int)|$less(X1_int,X0_int)),
% 15.67/3.88 inference(cnf_transformation,[],[f2685])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1473,plain,
% 15.67/3.88 ('fun_app$c'('p$','n_0$')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_585,c_73])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1477,plain,
% 15.67/3.88 (~'fun_app$c'('p$',sK3)|~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(backward_subsumption_resolution,[status(thm)],[c_69,c_1473])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1478,plain,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 ~'fun_app$c'('p$',sK3)),
% 15.67/3.88 inference(backward_subsumption_resolution,[status(thm)],[c_70,c_1473])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1479,plain,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK3),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 ~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(backward_subsumption_resolution,[status(thm)],[c_71,c_1473])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1480,plain,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK3),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 ~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))),
% 15.67/3.88 inference(backward_subsumption_resolution,[status(thm)],[c_72,c_1473])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1481,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ('fun_app$b'('of_nat$',X0_'Nat') != 'fun_app$b'('of_nat$','n_0$')|
% 15.67/3.88 ~'fun_app$c'('p$',sK5)|'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(backward_subsumption_resolution,[status(thm)],[c_77,c_1473])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1482,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ('fun_app$b'('of_nat$',X0_'Nat') != 'fun_app$b'('of_nat$','n_0$')|
% 15.67/3.88 $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK5))|'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(backward_subsumption_resolution,[status(thm)],[c_78,c_1473])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1599,plain,![X0_int:$int]:
% 15.67/3.88 ($less(X0_int,$sum(X0_int,1))),
% 15.67/3.88 inference(resolution,[status(thm)],[c_57,c_585])).
% 15.67/3.88
% 15.67/3.88 tcf(c_1675,plain,![X0_int:$int]:
% 15.67/3.88 (~$less($sum(X0_int,1),X0_int)),
% 15.67/3.88 inference(resolution,[status(thm)],[c_504,c_1599])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2195,plain,![X0_'Nat':'Nat$',X1_'Nat':'Nat$']:
% 15.67/3.88 (~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0_'Nat'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$',X1_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')|'fun_app$c'('p$',X1_'Nat')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_49,c_74])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2269,plain,![X0_int:$int,X0_'Nat':'Nat$',X1_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 $less('fun_app$b'('of_nat$',X1_'Nat'),X0_int)|$less(X0_int,'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')|'fun_app$c'('p$',X1_'Nat')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_483,c_74])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2449,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 $less($sum('fun_app$b'('of_nat$','n_0$'),1),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(factoring,[status(thm)],[c_2269])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2475,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),$sum('fun_app$b'('of_nat$','n_0$'),1))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(forward_subsumption_resolution,[status(thm)],[c_2449,c_1675])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2546,plain,
% 15.67/3.88 (~'fun_app$c'('p$',sK4)|$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK3))),
% 15.67/3.88 inference(resolution,[status(thm)],[c_1479,c_57])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2547,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 (~'fun_app$c'('p$',sK4)|$less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')|'fun_app$c'('p$',sK3)),
% 15.67/3.88 inference(resolution,[status(thm)],[c_1479,c_74])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2556,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ('fun_app$c'('p$',X0_'Nat')|$less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 ~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(global_subsumption_just,[status(thm)],[c_2547,c_1477,c_2547])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2557,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 (~'fun_app$c'('p$',sK4)|$less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(renaming,[status(thm)],[c_2556])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2578,plain,![X0_int:$int,X0_'Nat':'Nat$']:
% 15.67/3.88 (~'fun_app$c'('p$',sK4)|$less('fun_app$b'('of_nat$',X0_'Nat'),X0_int)|
% 15.67/3.88 $less(X0_int,'fun_app$b'('of_nat$','n_0$'))|'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_2557,c_483])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2580,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 (~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0_'Nat'))|
% 15.67/3.88 ~'fun_app$c'('p$',sK4)|'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_2557,c_504])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2648,plain,
% 15.67/3.88 (~'fun_app$c'('p$',sK4)|'fun_app$c'('p$',sK3)),
% 15.67/3.88 inference(resolution,[status(thm)],[c_2580,c_2546])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2659,plain,
% 15.67/3.88 (~'fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(global_subsumption_just,[status(thm)],[c_2578,c_1477,c_2648])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2767,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0_'Nat'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK5))|'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_744,c_1482])).
% 15.67/3.88
% 15.67/3.88 tcf(c_2768,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 (~'fun_app$c'('p$',sK5)|$less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0_'Nat'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_744,c_1481])).
% 15.67/3.88
% 15.67/3.88 tcf(c_4473,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 (~$less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',X0_'Nat'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(resolution,[status(thm)],[c_2475,c_49])).
% 15.67/3.88
% 15.67/3.88 tcf(c_4479,plain,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',sK3)),
% 15.67/3.88 inference(resolution,[status(thm)],[c_2475,c_1480])).
% 15.67/3.88
% 15.67/3.88 tcf(c_4481,plain,
% 15.67/3.88 (~$less('fun_app$b'('of_nat$',sK4),'fun_app$b'('of_nat$','n_0$'))),
% 15.67/3.88 inference(global_subsumption_just,[status(thm)],[c_4479,c_1478,c_4479])).
% 15.67/3.88
% 15.67/3.88 tcf(c_10111,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$','n_0$'),'fun_app$b'('of_nat$',sK5))|'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(global_subsumption_just,[status(thm)],[c_2767,c_2767,c_4473])).
% 15.67/3.88
% 15.67/3.88 tcf(c_10140,plain,![X0_'Nat':'Nat$',X1_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$',X1_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')|'fun_app$c'('p$',X1_'Nat')|'fun_app$c'('p$',sK5)),
% 15.67/3.88 inference(resolution,[status(thm)],[c_10111,c_2195])).
% 15.67/3.88
% 15.67/3.88 tcf(c_10185,plain,![X0_'Nat':'Nat$',X1_'Nat':'Nat$']:
% 15.67/3.88 ('fun_app$c'('p$',X1_'Nat')|'fun_app$c'('p$',X0_'Nat')|$less('fun_app$b'('of_nat$',X1_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))),
% 15.67/3.88 inference(global_subsumption_just,
% 15.67/3.88 [status(thm)],
% 15.67/3.88 [c_10140,c_2768,c_4473,c_10140])).
% 15.67/3.88
% 15.67/3.88 tcf(c_10186,plain,![X0_'Nat':'Nat$',X1_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 $less('fun_app$b'('of_nat$',X1_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')|'fun_app$c'('p$',X1_'Nat')),
% 15.67/3.88 inference(renaming,[status(thm)],[c_10185])).
% 15.67/3.88
% 15.67/3.88 tcf(c_10255,plain,![X0_'Nat':'Nat$']:
% 15.67/3.88 ($less('fun_app$b'('of_nat$',X0_'Nat'),'fun_app$b'('of_nat$','n_0$'))|
% 15.67/3.88 'fun_app$c'('p$',X0_'Nat')),
% 15.67/3.88 inference(factoring,[status(thm)],[c_10186])).
% 15.67/3.88
% 15.67/3.88 tcf(c_10415,plain,
% 15.67/3.88 ('fun_app$c'('p$',sK4)),
% 15.67/3.88 inference(resolution,[status(thm)],[c_10255,c_4481])).
% 15.67/3.88
% 15.67/3.88 tcf(c_10416,plain,
% 15.67/3.88 ($false),
% 15.67/3.88 inference(prop_impl_just,[status(thm)],[c_10415,c_2659])).
% 15.67/3.88
% 15.67/3.88
% 15.67/3.88 % SZS output end CNFRefutation for theBenchmark.p
% 15.67/3.88
% 15.67/3.88
%------------------------------------------------------------------------------