%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP301_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 01:49:23 PM UTC 2026
% Result : Theorem 14.69s 2.80s
% Output : CNFRefutation 14.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP301_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 18:21:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 Running TFA theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 14.69/2.80 % SZS status Started for theBenchmark.p
% 14.69/2.80 ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 14.69/2.80 Fatal error: exception Failure("undefined enum value")
% 14.69/2.80 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/bqer4bd4 2>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/bqer4bd4_error
% 14.69/2.80 ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 14.69/2.80 Fatal error: exception Failure("undefined enum value")
% 14.69/2.80 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/zo02qbbn 2>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/zo02qbbn_error
% 14.69/2.80 ERROR - "ProverProcess:heur/vip_66020:200.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 14.69/2.80 Fatal error: exception Failure("undefined enum value")
% 14.69/2.80 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/miwahuhx 2>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/miwahuhx_error
% 14.69/2.80 ERROR - "ProverProcess:heur/schedule_none:304.99997901916504" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 14.69/2.80 Fatal error: exception Failure("undefined enum value")
% 14.69/2.80 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/480jq20u 2>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/480jq20u_error
% 14.69/2.80 ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 14.69/2.80 Fatal error: exception Failure("undefined enum value")
% 14.69/2.80 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/7hnq921s 2>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/7hnq921s_error
% 14.69/2.80 ERROR - "ProverProcess:heur/vip_65511:44.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 14.69/2.80 Fatal error: exception Failure("undefined enum value")
% 14.69/2.80 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/9dlortwo 2>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/9dlortwo_error
% 14.69/2.80 ERROR - "ProverProcess:heur/vip_64741:92.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 14.69/2.80 Fatal error: exception Failure("undefined enum value")
% 14.69/2.80 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/ql6c4v87 2>> /export/starexec/sandbox2/tmp/iprover_out_c_o9nct1/ql6c4v87_error
% 14.69/2.80 % SZS status Theorem for theBenchmark.p
% 14.69/2.80
% 14.69/2.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.69/2.80
% 14.69/2.80 % ------ iProver source info
% 14.69/2.80
% 14.69/2.80 % git: date: 2026-07-19 20:42:38 +0200
% 14.69/2.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.69/2.80 % git: non_committed_changes: false
% 14.69/2.80
% 14.69/2.80 % ------ Parsing...
% 14.69/2.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.69/2.80
% 14.69/2.80 % ------ Preprocessing...%
% 14.69/2.80
% 14.69/2.80 % SZS status Theorem for theBenchmark.p
% 14.69/2.80
% 14.69/2.80 % SZS output start CNFRefutation for theBenchmark.p
% 14.69/2.80
% 14.69/2.80 tff(func_def_0, type, 'uu$': 'A_set$' > 'A_bool_fun$').
% 14.69/2.80 tff(pred_def_1, type, 'member$a': ('B_b_prod$' * 'B_b_prod_set$') > $o).
% 14.69/2.80 tff(pred_def_2, type, 'functor_abbrev$a': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > $o).
% 14.69/2.80 tff(pred_def_3, type, 'fun_app$d': ('ZF_set_bool_fun$' * 'ZF_set$') > $o).
% 14.69/2.80 tff(pred_def_4, type, 'fun_app$b': ('ZF_bool_fun$' * 'ZF$') > $o).
% 14.69/2.80 tff(pred_def_5, type, 'member$f': ('B_a_fun$' * 'B_a_fun_set$') > $o).
% 14.69/2.80 tff(pred_def_6, type, 'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_7, type, 'member$d': ('ZF_ZF_fun$' * 'ZF_ZF_fun_set$') > $o).
% 14.69/2.80 tff(pred_def_8, type, 'member$j': ('B_b_prod_b_fun$' * 'B_b_prod_b_fun_set$') > $o).
% 14.69/2.80 tff(pred_def_9, type, 'functor_comp_def$f': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_10, type, 'functorM$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_11, type, 'functorM$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_12, type, 'functor_comp_def$e': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_13, type, 'functor$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_14, type, 'member$g': ('A_b_fun$' * 'A_b_fun_set$') > $o).
% 14.69/2.80 tff(pred_def_15, type, 'set_like$': 'ZF_ZF_prod_set$' > $o).
% 14.69/2.80 tff(pred_def_16, type, 'lSCategory_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_17, type, 'functorM$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_18, type, 'equivalence$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_19, type, 'extCategory$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_20, type, 'fun_app$c': ('B_b_prod_bool_fun$' * 'B_b_prod$') > $o).
% 14.69/2.80 tff(pred_def_21, type, 'functorM_axioms$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_22, type, 'member$c': ('ZF_set$' * 'ZF_set_set$') > $o).
% 14.69/2.80 tff(pred_def_23, type, 'extCategory$': 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_24, type, 'functor_abbrev$b': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > $o).
% 14.69/2.80 tff(pred_def_25, type, 'category_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_26, type, 'functorM$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_27, type, 'equivalence_axioms$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_28, type, 'category$': 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_29, type, 'fun_app$e': ('ZF_ZF_fun_bool_fun$' * 'ZF_ZF_fun$') > $o).
% 14.69/2.80 tff(pred_def_30, type, 'functor_abbrev$': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > $o).
% 14.69/2.80 tff(pred_def_31, type, 'fun_app$j': ('A_bool_fun$' * 'A$') > $o).
% 14.69/2.80 tff(pred_def_32, type, 'fun_app$g': ('B_a_fun_bool_fun$' * 'B_a_fun$') > $o).
% 14.69/2.80 tff(pred_def_33, type, 'functor_comp_def$g': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_34, type, 'member$h': ('B$' * 'B_set$') > $o).
% 14.69/2.80 tff(pred_def_35, type, 'member$i': ('A$' * 'A_set$') > $o).
% 14.69/2.80 tff(pred_def_36, type, 'functor_abbrev$c': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$') > $o).
% 14.69/2.80 tff(pred_def_37, type, 'functor_comp_def$b': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_38, type, 'category_axioms$a': 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_39, type, 'fun_app$a': ('ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$') > $o).
% 14.69/2.80 tff(pred_def_40, type, 'functor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_41, type, 'preFunctor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_42, type, 'preFunctor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_43, type, 'functor_comp_def$d': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_44, type, 'fun_app$i': ('B_bool_fun$' * 'B$') > $o).
% 14.69/2.80 tff(pred_def_45, type, 'member$': ('ZF_ZF_prod$' * 'ZF_ZF_prod_set$') > $o).
% 14.69/2.80 tff(pred_def_46, type, 'functor_comp_def$a': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_47, type, 'functor$c': 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_48, type, 'fun_app$h': ('A_b_fun_bool_fun$' * 'A_b_fun$') > $o).
% 14.69/2.80 tff(pred_def_49, type, 'preFunctor$c': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_50, type, 'preFunctor$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_51, type, 'functor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_52, type, 'regular$': 'ZF_ZF_prod_set$' > $o).
% 14.69/2.80 tff(pred_def_53, type, 'functor_comp_def$': ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_54, type, 'functorExt$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_55, type, 'functor_comp_def$c': ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > $o).
% 14.69/2.80 tff(pred_def_56, type, 'fun_app$f': ('B_ZF_fun_bool_fun$' * 'B_ZF_fun$') > $o).
% 14.69/2.80 tff(pred_def_57, type, 'member$k': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$') > $o).
% 14.69/2.80 tff(pred_def_58, type, 'member$e': ('B_ZF_fun$' * 'B_ZF_fun_set$') > $o).
% 14.69/2.80 tff(pred_def_59, type, 'category$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(func_def_60, type, 'app$': 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_61, type, 'set$': 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(pred_def_62, type, sP0: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_63, type, sP1: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_64, type, sP2: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_65, type, sP3: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_66, type, sP4: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_67, type, sP5: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_68, type, sP6: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_69, type, sP7: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_70, type, sP8: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_71, type, sP9: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_72, type, sP10: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_73, type, sP11: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_74, type, sP12: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_75, type, sP13: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_76, type, sP14: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_77, type, sP15: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_78, type, sP16: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_79, type, sP17: 'ZF_ZF_unit_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_80, type, sP18: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_81, type, sP19: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_82, type, sP20: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_83, type, sP21: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_84, type, sP22: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o).
% 14.69/2.80 tff(pred_def_85, type, sP23: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_86, type, sP24: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o).
% 14.69/2.80 tff(pred_def_87, type, sP25: 'ZF$' > $o).
% 14.69/2.80 tff(pred_def_88, type, sP26: 'ZF$' > $o).
% 14.69/2.80 tff(pred_def_89, type, sP27: 'ZF$' > $o).
% 14.69/2.80 tff(func_def_90, type, 'homFtor$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_91, type, 'category_ext$': ('A_set$' * 'B_set$' * 'B_a_fun$' * 'B_a_fun$' * 'A_b_fun$' * 'B_b_b_fun_fun$' * 'B_c_LSCategory_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$').
% 14.69/2.80 tff(func_def_92, type, 'constFunctor$f': ('ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_93, type, 'snd$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_94, type, 'cod$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$').
% 14.69/2.80 tff(func_def_95, type, 'uuk$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_96, type, 'restrict$c': ('B_a_fun$' * 'B_set$') > 'B_a_fun$').
% 14.69/2.80 tff(func_def_97, type, 'set$a': 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(func_def_98, type, 'compDefined$': ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_99, type, 'extensional$b': 'ZF_set$' > 'ZF_ZF_fun_set$').
% 14.69/2.80 tff(func_def_100, type, 'collect$d': 'ZF_bool_fun$' > 'ZF_set$').
% 14.69/2.80 tff(func_def_101, type, 'mapM$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B_ZF_fun$').
% 14.69/2.80 tff(func_def_102, type, 'objIso$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_bool_fun$').
% 14.69/2.80 tff(func_def_103, type, 'inverse$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_fun$').
% 14.69/2.80 tff(func_def_104, type, 'functorComp$b': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_105, type, 'mapM_update$a': ('B_b_fun_b_b_fun_fun$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$') > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_106, type, 'mapM_update$': ('ZF_b_fun_ZF_b_fun_fun$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_107, type, 'ext_ZF$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_108, type, 'is_Elem_of$': 'ZF_ZF_prod_set$').
% 14.69/2.80 tff(func_def_109, type, 'restrict$e': ('ZF_ZF_fun$' * 'ZF_set$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_110, type, 'constFunctor$e': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_111, type, 'fun_app$m': ('B_b_b_fun_fun$' * 'B$') > 'B_b_fun$').
% 14.69/2.80 tff(func_def_112, type, 'catCod$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$').
% 14.69/2.80 tff(func_def_113, type, 'functor_ext$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'B_ZF_fun$' * 'Unit$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_114, type, 'zFfunComp$': 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_115, type, 'compDefined$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'B_bool_fun$').
% 14.69/2.80 tff(func_def_116, type, 'oppositeCategory$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(func_def_117, type, 'the$': 'ZF_bool_fun$' > 'ZF$').
% 14.69/2.80 tff(func_def_118, type, 'ext_ZF_hull$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_119, type, 'restrict$d': ('A_b_fun$' * 'A_set$') > 'A_b_fun$').
% 14.69/2.80 tff(func_def_120, type, 'implode$': 'ZF_set$' > 'ZF$').
% 14.69/2.80 tff(func_def_121, type, 'fst$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_122, type, 'objIso$': ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_123, type, 'fun_app$v': ('Unit_unit_fun$' * 'Unit$') > 'Unit$').
% 14.69/2.80 tff(func_def_124, type, 'mapO$b': ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$') > 'A$').
% 14.69/2.80 tff(func_def_125, type, 'identityFunctor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_126, type, 'lSCategory_ext$': ('B_ZF_fun$' * 'C$') > 'B_c_LSCategory_ext$').
% 14.69/2.80 tff(func_def_127, type, 'collect$b': 'A_bool_fun$' > 'A_set$').
% 14.69/2.80 tff(func_def_128, type, 'identityFunctor$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_129, type, 'nat2Nat$': 'Nat_ZF_fun$').
% 14.69/2.80 tff(func_def_130, type, 'functorComp$a': ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$') > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_131, type, 'homSet$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$') > 'ZF$').
% 14.69/2.80 tff(func_def_132, type, 'uvb$': ('ZF$' * 'ZF_bool_fun$') > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_133, type, 'y$': 'A$').
% 14.69/2.80 tff(func_def_134, type, 'union$': 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_135, type, 'uud$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_bool_fun$').
% 14.69/2.80 tff(func_def_136, type, 'extensional$': 'B_set$' > 'B_ZF_fun_set$').
% 14.69/2.80 tff(func_def_137, type, 'nat$a': $int > 'Nat$').
% 14.69/2.80 tff(func_def_138, type, 'uux$': 'ZF_ZF_prod_bool_fun$').
% 14.69/2.80 tff(func_def_139, type, 'nat2nat$': 'ZF$' > 'Nat$').
% 14.69/2.80 tff(func_def_140, type, 'fun_app$u': ('B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun$') > 'B_ZF_fun$').
% 14.69/2.80 tff(func_def_141, type, 'fun_app$q': ('B_a_fun$' * 'B$') > 'A$').
% 14.69/2.80 tff(func_def_142, type, 'fun_app$p': ('ZF_b_fun$' * 'ZF$') > 'B$').
% 14.69/2.80 tff(func_def_143, type, 'uum$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$').
% 14.69/2.80 tff(func_def_144, type, 'collect$h': 'B_a_fun_bool_fun$' > 'B_a_fun_set$').
% 14.69/2.80 tff(func_def_145, type, 'uvc$': ('ZF$' * 'ZF_bool_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_146, type, 'inverse$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_147, type, 'collect$f': 'ZF_ZF_fun_bool_fun$' > 'ZF_ZF_fun_set$').
% 14.69/2.80 tff(func_def_148, type, 'dom_update$': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(func_def_149, type, 'category_ext$a': ('ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' * 'Unit$') > 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(func_def_150, type, 'fun_app$o': ('A_b_fun$' * 'A$') > 'B$').
% 14.69/2.80 tff(func_def_151, type, 'isOpair$': 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_152, type, 'homFtorMap$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'B_ZF_fun$').
% 14.69/2.80 tff(func_def_153, type, 'sucNat$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_154, type, 'fun_app$s': ('B_b_fun_b_b_fun_fun$' * 'B_b_fun$') > 'B_b_fun$').
% 14.69/2.80 tff(func_def_155, type, 'fun_app$t': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_156, type, 'uuv$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_157, type, 'opair$': 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_158, type, 'restrict$': ('ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$') > 'ZF$').
% 14.69/2.80 tff(func_def_159, type, 'isFun$': 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_160, type, 'collect$e': 'ZF_set_bool_fun$' > 'ZF_set_set$').
% 14.69/2.80 tff(func_def_161, type, 'extensional$d': 'B_b_prod_set$' > 'B_b_prod_b_fun_set$').
% 14.69/2.80 tff(func_def_162, type, 'uuf$': 'B_ZF_fun_set$' > 'B_ZF_fun_bool_fun$').
% 14.69/2.80 tff(func_def_163, type, 'more_update$': ('Unit_unit_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(func_def_164, type, 'comp$b': 'ZF_ZF_fun$' > 'ZF_ZF_fun_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_165, type, 'makeFtor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_166, type, 'less_eq$': 'ZF_set$' > 'ZF_set_bool_fun$').
% 14.69/2.80 tff(func_def_167, type, 'fun_app$n': ('B_ZF_fun$' * 'B$') > 'ZF$').
% 14.69/2.80 tff(func_def_168, type, 'uut$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$').
% 14.69/2.80 tff(func_def_169, type, 'dom$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$').
% 14.69/2.80 tff(func_def_170, type, 'uur$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$') > 'B_bool_fun$').
% 14.69/2.80 tff(func_def_171, type, 'zFfunDom$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_172, type, 'uug$': 'B_a_fun_set$' > 'B_a_fun_bool_fun$').
% 14.69/2.80 tff(func_def_173, type, 'zFfunApp$': 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_174, type, 'dom_update$a': ('B_a_fun_b_a_fun_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$').
% 14.69/2.80 tff(func_def_175, type, 'range$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_176, type, 'isomorphism$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_177, type, 'lambda$': ('ZF$' * 'ZF_ZF_fun$') > 'ZF$').
% 14.69/2.80 tff(func_def_178, type, 'cod$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_179, type, 'hOMCollection$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$') > 'ZF_set$').
% 14.69/2.80 tff(func_def_180, type, 'comp$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_181, type, 'isomorphism$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_bool_fun$').
% 14.69/2.80 tff(func_def_182, type, 'eps$': 'ZF_bool_fun$' > 'ZF$').
% 14.69/2.80 tff(func_def_183, type, 'zF2mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'ZF_b_fun$').
% 14.69/2.80 tff(func_def_184, type, 'obj_update$a': ('A_set_a_set_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$').
% 14.69/2.80 tff(func_def_185, type, 'fun$': 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_186, type, 'uuh$': 'A_b_fun_set$' > 'A_b_fun_bool_fun$').
% 14.69/2.80 tff(func_def_187, type, 'mapM$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_188, type, 'constFunctor$d': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_189, type, 'obj$': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$').
% 14.69/2.80 tff(func_def_190, type, 'elem$': 'ZF$' > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_191, type, 'makeFtor$c': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_192, type, 'comp$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$').
% 14.69/2.80 tff(func_def_193, type, 'extensional$a': 'A_set$' > 'A_b_fun_set$').
% 14.69/2.80 tff(func_def_194, type, 'inf$': 'ZF$').
% 14.69/2.80 tff(func_def_195, type, 'uuy$': 'ZF$' > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_196, type, 'collect$c': 'B_bool_fun$' > 'B_set$').
% 14.69/2.80 tff(func_def_197, type, 'fun_app$': ('ZF_ZF_fun$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_198, type, 'makeCat$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(func_def_199, type, 'mapM_update$b': ('ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_200, type, 'constFunctor$b': ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_201, type, 'cod_update$a': ('B_a_fun_b_a_fun_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$') > 'A_b_b_c_LSCategory_ext_Category_ext$').
% 14.69/2.80 tff(func_def_202, type, 'extensional$e': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_ZF_fun_set$').
% 14.69/2.80 tff(func_def_203, type, 'mapsTo$a': ('ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$') > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_204, type, 'power$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_205, type, 'sep$': ('ZF$' * 'ZF_bool_fun$') > 'ZF$').
% 14.69/2.80 tff(func_def_206, type, 'fun_app$ab': ('ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$') > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_207, type, 'uup$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_208, type, 'uua$': 'B_set$' > 'B_bool_fun$').
% 14.69/2.80 tff(func_def_209, type, 'id$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_210, type, 'domain$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_211, type, 'image$': ('ZF_ZF_set_fun$' * 'ZF_set$') > 'ZF_set_set$').
% 14.69/2.80 tff(func_def_212, type, 'restrict$b': ('B_ZF_fun$' * 'B_set$') > 'B_ZF_fun$').
% 14.69/2.80 tff(func_def_213, type, 'fun_app$y': ('A_set_a_set_fun$' * 'A_set$') > 'A_set$').
% 14.69/2.80 tff(func_def_214, type, 'homFtor$a': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$') > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$').
% 14.69/2.80 tff(func_def_215, type, 'nat$': 'ZF$').
% 14.69/2.80 tff(func_def_216, type, 'pair$': ('ZF$' * 'ZF$') > 'ZF_ZF_prod$').
% 14.69/2.80 tff(func_def_217, type, 'more$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'C$').
% 14.69/2.80 tff(func_def_218, type, 'member$b': 'ZF$' > 'ZF_set_bool_fun$').
% 14.69/2.80 tff(func_def_219, type, 'uuz$': ('ZF$' * 'ZF$') > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_220, type, 'inverse_rel$a': ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_221, type, 'mor_update$': ('ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$') > 'ZF_ZF_unit_Category_ext$').
% 14.69/2.80 tff(func_def_222, type, 'catCod$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$').
% 14.69/2.80 tff(func_def_223, type, 'uuj$': ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_224, type, 'explode$': 'ZF_ZF_set_fun$').
% 14.69/2.80 tff(func_def_225, type, 'isZFfun$': 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_226, type, 'product$': 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_227, type, 'cartProd$': 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_228, type, 'uub$': 'ZF_set$' > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_229, type, 'dom$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_230, type, 'subset$': 'ZF$' > 'ZF_bool_fun$').
% 14.69/2.80 tff(func_def_231, type, 'mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_set$').
% 14.69/2.80 tff(func_def_236, type, sK28: 'ZF_ZF_prod$' > 'ZF$').
% 14.69/2.80 tff(func_def_237, type, sK29: 'ZF_ZF_prod$' > 'ZF$').
% 14.69/2.80 tff(func_def_238, type, sK30: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_239, type, sK31: ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$') > 'ZF$').
% 14.69/2.80 tff(func_def_240, type, sK32: ('ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$') > 'ZF$').
% 14.69/2.80 tff(func_def_241, type, sK33: ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$') > 'B$').
% 14.69/2.80 tff(func_def_242, type, sK34: ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$') > 'B$').
% 14.69/2.80 tff(func_def_243, type, sK35: ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' * 'ZF$') > 'B$').
% 14.69/2.80 tff(func_def_244, type, sK36: ('ZF_b_fun$' * 'ZF_b_fun_ZF_b_fun_fun$' * 'ZF_b_fun_ZF_b_fun_fun$') > 'ZF_b_fun$').
% 14.69/2.80 tff(func_def_245, type, sK37: ('B_b_fun$' * 'B_b_fun_b_b_fun_fun$' * 'B_b_fun_b_b_fun_fun$') > 'B_b_fun$').
% 14.69/2.80 tff(func_def_246, type, sK38: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_247, type, sK39: ('B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$') > 'B_ZF_fun$').
% 14.69/2.80 tff(func_def_248, type, sK40: ('ZF_b_fun$' * 'ZF_b_fun_ZF_b_fun_fun$' * 'ZF_b_fun_ZF_b_fun_fun$') > 'ZF_b_fun$').
% 14.69/2.80 tff(func_def_249, type, sK41: ('B_b_fun$' * 'B_b_fun_b_b_fun_fun$' * 'B_b_fun_b_b_fun_fun$') > 'B_b_fun$').
% 14.69/2.80 tff(func_def_250, type, sK42: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_251, type, sK43: ('B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$') > 'B_ZF_fun$').
% 14.69/2.80 tff(func_def_252, type, sK44: ('ZF_set_bool_fun$' * 'ZF_set_bool_fun$') > 'ZF_set$').
% 14.69/2.80 tff(func_def_253, type, sK45: ('B_bool_fun$' * 'B_bool_fun$') > 'B$').
% 14.69/2.80 tff(func_def_254, type, sK46: ('A_bool_fun$' * 'A_bool_fun$') > 'A$').
% 14.69/2.80 tff(func_def_255, type, sK47: ('B_b_prod_bool_fun$' * 'B_b_prod_bool_fun$') > 'B_b_prod$').
% 14.69/2.80 tff(func_def_256, type, sK48: ('ZF_bool_fun$' * 'ZF_bool_fun$') > 'ZF$').
% 14.69/2.80 tff(func_def_257, type, sK49: ('ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$') > 'ZF_ZF_prod$').
% 14.69/2.80 tff(func_def_258, type, sK50: ('A_b_b_c_LSCategory_ext_Category_ext$' * 'B$') > 'B$').
% 14.69/2.80 tff(func_def_259, type, sK51: ('ZF_ZF_unit_Category_ext$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_260, type, sK52: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_261, type, sK53: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_262, type, sK54: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_263, type, sK55: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_264, type, sK56: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_265, type, sK57: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_266, type, sK58: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_267, type, sK59: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_268, type, sK60: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_269, type, sK61: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_270, type, sK62: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_271, type, sK63: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_272, type, sK64: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_273, type, sK65: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_274, type, sK66: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_275, type, sK67: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_276, type, sK68: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_277, type, sK69: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_278, type, sK70: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_279, type, sK71: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_280, type, sK72: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_281, type, sK73: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_282, type, sK74: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_283, type, sK75: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_284, type, sK76: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_285, type, sK77: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_286, type, sK78: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_287, type, sK79: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_288, type, sK80: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_289, type, sK81: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_290, type, sK82: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_291, type, sK83: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_292, type, sK84: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_293, type, sK85: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_294, type, sK86: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_295, type, sK87: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_296, type, sK88: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_297, type, sK89: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_298, type, sK90: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_299, type, sK91: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_300, type, sK92: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_301, type, sK93: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_302, type, sK94: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_303, type, sK95: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_304, type, sK96: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_305, type, sK97: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_306, type, sK98: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_307, type, sK99: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_308, type, sK100: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_309, type, sK101: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_310, type, sK102: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_311, type, sK103: 'ZF_ZF_unit_Category_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_312, type, sK104: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_313, type, sK105: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_314, type, sK106: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_315, type, sK107: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_316, type, sK108: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_317, type, sK109: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_318, type, sK110: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_319, type, sK111: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_320, type, sK112: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_321, type, sK113: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_322, type, sK114: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_323, type, sK115: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_324, type, sK116: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_325, type, sK117: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_326, type, sK118: 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_327, type, sK119: ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_328, type, sK120: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_329, type, sK121: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_330, type, sK122: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_331, type, sK123: ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$') > 'A$').
% 14.69/2.80 tff(func_def_332, type, sK124: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_333, type, sK125: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_334, type, sK126: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_335, type, sK127: ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$') > 'A$').
% 14.69/2.80 tff(func_def_336, type, sK128: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_337, type, sK129: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_338, type, sK130: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_339, type, sK131: ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$') > 'ZF$').
% 14.69/2.80 tff(func_def_340, type, sK132: ('ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_341, type, sK133: ('A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$') > 'A$').
% 14.69/2.80 tff(func_def_342, type, sK134: ('ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$') > 'A$').
% 14.69/2.80 tff(func_def_343, type, sK135: ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$') > 'ZF$').
% 14.69/2.80 tff(func_def_344, type, sK136: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_345, type, sK137: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_346, type, sK138: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_347, type, sK139: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_348, type, sK140: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_349, type, sK141: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_350, type, sK142: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$').
% 14.69/2.80 tff(func_def_351, type, sK143: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$').
% 14.69/2.80 tff(func_def_352, type, sK144: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_353, type, sK145: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_354, type, sK146: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_355, type, sK147: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_356, type, sK148: 'ZF_ZF_unit_Category_ext$' > 'Unit$').
% 14.69/2.80 tff(func_def_357, type, sK149: ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'ZF$') > 'B$').
% 14.69/2.80 tff(func_def_358, type, sK150: ('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$') > 'A$').
% 14.69/2.80 tff(func_def_359, type, sK151: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_360, type, sK152: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_361, type, sK153: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_362, type, sK154: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$').
% 14.69/2.80 tff(func_def_363, type, sK155: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_364, type, sK156: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$').
% 14.69/2.80 tff(func_def_365, type, sK157: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_366, type, sK158: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$').
% 14.69/2.80 tff(func_def_367, type, sK159: ('ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_368, type, sK160: ('A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$') > 'B$').
% 14.69/2.80 tff(func_def_369, type, sK161: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_370, type, sK162: ('ZF_bool_fun$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_371, type, sK163: 'ZF_bool_fun$' > 'ZF$').
% 14.69/2.80 tff(func_def_372, type, sK164: ('ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$') > 'ZF$').
% 14.69/2.80 tff(func_def_373, type, sK165: ('ZF$' * 'ZF_ZF_fun$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_374, type, sK166: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_375, type, sK167: ('ZF$' * 'ZF_bool_fun$') > 'ZF$').
% 14.69/2.80 tff(func_def_376, type, sK168: ('ZF$' * 'Nat_ZF_fun$') > 'Nat$').
% 14.69/2.80 tff(func_def_377, type, sK169: ('ZF$' * 'ZF_ZF_fun$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_378, type, sK170: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$').
% 14.69/2.80 tff(func_def_379, type, sK171: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$').
% 14.69/2.80 tff(func_def_380, type, sK172: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_381, type, sK173: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_382, type, sK174: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_383, type, sK175: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_384, type, sK176: ('A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$') > 'A_set$').
% 14.69/2.80 tff(func_def_385, type, sK177: ('ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$') > 'ZF_set$').
% 14.69/2.80 tff(func_def_386, type, sK178: ('A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$') > 'A_set$').
% 14.69/2.80 tff(func_def_387, type, sK179: ('ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$') > 'ZF_set$').
% 14.69/2.80 tff(func_def_388, type, sK180: ('B_set$' * 'B_set_b_set_fun$' * 'B_set_b_set_fun$') > 'B_set$').
% 14.69/2.80 tff(func_def_389, type, sK181: ('ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$') > 'ZF_set$').
% 14.69/2.80 tff(func_def_390, type, sK182: ('B_set$' * 'B_set_b_set_fun$' * 'B_set_b_set_fun$') > 'B_set$').
% 14.69/2.80 tff(func_def_391, type, sK183: ('ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$') > 'ZF_set$').
% 14.69/2.80 tff(func_def_392, type, sK184: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_393, type, sK185: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_394, type, sK186: ('B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$') > 'B_a_fun$').
% 14.69/2.80 tff(func_def_395, type, sK187: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_396, type, sK188: ('B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$') > 'B_a_fun$').
% 14.69/2.80 tff(func_def_397, type, sK189: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_398, type, sK190: ('B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$') > 'B_a_fun$').
% 14.69/2.80 tff(func_def_399, type, sK191: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_400, type, sK192: ('B_a_fun$' * 'B_a_fun_b_a_fun_fun$' * 'B_a_fun_b_a_fun_fun$') > 'B_a_fun$').
% 14.69/2.80 tff(func_def_401, type, sK193: ('ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_402, type, sK194: ('ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$') > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_403, type, sK195: ('ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$') > 'ZF_ZF_ZF_fun_fun$').
% 14.69/2.80 tff(func_def_404, type, sK196: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_405, type, sK197: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_406, type, sK198: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_407, type, sK199: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_408, type, sK200: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_409, type, sK201: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$').
% 14.69/2.80 tff(func_def_410, type, sK202: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_411, type, sK203: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$').
% 14.69/2.80 tff(func_def_412, type, sK204: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_413, type, sK205: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_414, type, sK206: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_415, type, sK207: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_416, type, sK208: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_417, type, sK209: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_418, type, sK210: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_419, type, sK211: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_420, type, sK212: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_421, type, sK213: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_422, type, sK214: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_423, type, sK215: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_424, type, sK216: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_425, type, sK217: ('ZF$' * 'ZF_ZF_fun$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_426, type, sK218: ('ZF$' * 'ZF$') > 'ZF_ZF_fun$').
% 14.69/2.80 tff(func_def_427, type, sK219: ('ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$') > 'ZF$').
% 14.69/2.80 tff(func_def_428, type, sK220: ('ZF$' * 'ZF_ZF_fun$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_429, type, sK221: ('ZF$' * 'ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_430, type, sK222: ('ZF$' * 'ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_431, type, sK223: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_432, type, sK224: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_433, type, sK225: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_434, type, sK226: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_435, type, sK227: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_436, type, sK228: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_437, type, sK229: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_438, type, sK230: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_439, type, sK231: ('ZF$' * 'ZF$') > 'ZF$').
% 14.69/2.80 tff(func_def_440, type, sK232: 'ZF$' > 'ZF$').
% 14.69/2.80 tff(func_def_441, type, sK233: ('ZF$' * 'ZF_bool_fun$') > 'ZF$').
% 14.69/2.80 tff(func_def_442, type, sK234: ('ZF$' * 'ZF$' * 'ZF_ZF_fun$') > 'ZF$').
% 14.69/2.80 tff(f31,conjecture,(
% 14.69/2.80 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$'))),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture30)).
% 14.69/2.80
% 14.69/2.80 tff(f32,negated_conjecture,(
% 14.69/2.80 ~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$'))),
% 14.69/2.80 inference(negated_conjecture,[status(cth)],[f31])).
% 14.69/2.80
% 14.69/2.80 tff(f33,axiom,(
% 14.69/2.80 'fun_app$q'('dom$'('c$'),'f$') = 'z$'),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom31)).
% 14.69/2.80
% 14.69/2.80 tff(f34,axiom,(
% 14.69/2.80 'fun_app$q'('cod$'('c$'),'f$') = 'y$'),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom32)).
% 14.69/2.80
% 14.69/2.80 tff(f36,axiom,(
% 14.69/2.80 'mapO$'('homFtor$'('c$','x$'),'y$') = 'homSet$'('c$','x$','y$')),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34)).
% 14.69/2.80
% 14.69/2.80 tff(f37,axiom,(
% 14.69/2.80 'mapO$'('homFtor$'('c$','x$'),'z$') = 'homSet$'('c$','x$','z$')),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35)).
% 14.69/2.80
% 14.69/2.80 tff(f39,axiom,(
% 14.69/2.80 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'homSet$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))),'homSet$'('c$','x$','fun_app$q'('cod$'('c$'),'f$')))),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom37)).
% 14.69/2.80
% 14.69/2.80 tff(f357,axiom,(
% 14.69/2.80 ! [X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'ZF_ZF_unit_Category_ext$',X2 : 'B_ZF_fun$',X3 : 'Unit$'] : 'mapM$'('functor_ext$'(X0,X1,X2,X3)) = X2),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom355)).
% 14.69/2.80
% 14.69/2.80 tff(f431,axiom,(
% 14.69/2.80 ! [X0 : 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1 : 'A$'] : 'mapO$'(X0,X1) = 'the$'('uuq$'(X0,X1))),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom429)).
% 14.69/2.80
% 14.69/2.80 tff(f439,axiom,(
% 14.69/2.80 ! [X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'A$'] : 'homFtor$'(X0,X1) = 'functor_ext$'(X0,'set$','homFtorMap$'(X0,X1),'unity$')),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom437)).
% 14.69/2.80
% 14.69/2.80 tff(f448,axiom,(
% 14.69/2.80 ! [X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'A$',X2 : 'A$'] : 'hOMCollection$'(X0,X1,X2) = 'collect$d'('uuw$'(X0,X1,X2))),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom446)).
% 14.69/2.80
% 14.69/2.80 tff(f450,axiom,(
% 14.69/2.80 ! [X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'A$',X2 : 'A$'] : 'homSet$'(X0,X1,X2) = 'implode$'('hOMCollection$'(X0,X1,X2))),
% 14.69/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom448)).
% 14.69/2.80
% 14.69/2.80 tff(f574,plain,(
% 14.69/2.80 ~'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$'))),
% 14.69/2.80 inference(flattening,[],[f32])).
% 14.69/2.80
% 14.69/2.80 tff(f1626,plain,(
% 14.69/2.80 ~'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$'))),
% 14.69/2.80 inference(cnf_transformation,[],[f574])).
% 14.69/2.80
% 14.69/2.80 tff(f1627,plain,(
% 14.69/2.80 'z$' = 'fun_app$q'('dom$'('c$'),'f$')),
% 14.69/2.80 inference(cnf_transformation,[],[f33])).
% 14.69/2.80
% 14.69/2.80 tff(f1628,plain,(
% 14.69/2.80 'y$' = 'fun_app$q'('cod$'('c$'),'f$')),
% 14.69/2.80 inference(cnf_transformation,[],[f34])).
% 14.69/2.80
% 14.69/2.80 tff(f1630,plain,(
% 14.69/2.80 'mapO$'('homFtor$'('c$','x$'),'y$') = 'homSet$'('c$','x$','y$')),
% 14.69/2.80 inference(cnf_transformation,[],[f36])).
% 14.69/2.80
% 14.69/2.80 tff(f1631,plain,(
% 14.69/2.80 'mapO$'('homFtor$'('c$','x$'),'z$') = 'homSet$'('c$','x$','z$')),
% 14.69/2.80 inference(cnf_transformation,[],[f37])).
% 14.69/2.80
% 14.69/2.80 tff(f1633,plain,(
% 14.69/2.80 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'homSet$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))),'homSet$'('c$','x$','fun_app$q'('cod$'('c$'),'f$')))),
% 14.69/2.80 inference(cnf_transformation,[],[f39])).
% 14.69/2.80
% 14.69/2.80 tff(f2142,plain,(
% 14.69/2.80 ( ! [X2 : 'B_ZF_fun$',X3 : 'Unit$',X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'ZF_ZF_unit_Category_ext$'] : ('mapM$'('functor_ext$'(X0,X1,X2,X3)) = X2) )),
% 14.69/2.80 inference(cnf_transformation,[],[f357])).
% 14.69/2.80
% 14.69/2.80 tff(f2242,plain,(
% 14.69/2.80 ( ! [X0 : 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1 : 'A$'] : ('mapO$'(X0,X1) = 'the$'('uuq$'(X0,X1))) )),
% 14.69/2.80 inference(cnf_transformation,[],[f431])).
% 14.69/2.80
% 14.69/2.80 tff(f2250,plain,(
% 14.69/2.80 ( ! [X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'A$'] : ('homFtor$'(X0,X1) = 'functor_ext$'(X0,'set$','homFtorMap$'(X0,X1),'unity$')) )),
% 14.69/2.80 inference(cnf_transformation,[],[f439])).
% 14.69/2.80
% 14.69/2.80 tff(f2267,plain,(
% 14.69/2.80 ( ! [X2 : 'A$',X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'A$'] : ('hOMCollection$'(X0,X1,X2) = 'collect$d'('uuw$'(X0,X1,X2))) )),
% 14.69/2.80 inference(cnf_transformation,[],[f448])).
% 14.69/2.80
% 14.69/2.80 tff(f2269,plain,(
% 14.69/2.80 ( ! [X2 : 'A$',X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'A$'] : ('homSet$'(X0,X1,X2) = 'implode$'('hOMCollection$'(X0,X1,X2))) )),
% 14.69/2.80 inference(cnf_transformation,[],[f450])).
% 14.69/2.80
% 14.69/2.80 tff(f2496,plain,(
% 14.69/2.80 ( ! [X2 : 'A$',X0 : 'A_b_b_c_LSCategory_ext_Category_ext$',X1 : 'A$'] : ('homSet$'(X0,X1,X2) = 'implode$'('collect$d'('uuw$'(X0,X1,X2)))) )),
% 14.69/2.80 inference(definition_unfolding,[],[f2269,f2267])).
% 14.69/2.80
% 14.69/2.80 tff(f2499,plain,(
% 14.69/2.80 ~'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$')),'f$'),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'z$'))),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'y$')))),
% 14.69/2.80 inference(definition_unfolding,[],[f1626,f2250,f2242,f2250,f2242,f2250])).
% 14.69/2.80
% 14.69/2.80 tff(f2500,plain,(
% 14.69/2.80 'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'y$')) = 'implode$'('collect$d'('uuw$'('c$','x$','y$')))),
% 14.69/2.80 inference(definition_unfolding,[],[f1630,f2242,f2250,f2496])).
% 14.69/2.80
% 14.69/2.80 tff(f2501,plain,(
% 14.69/2.80 'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'z$')) = 'implode$'('collect$d'('uuw$'('c$','x$','z$')))),
% 14.69/2.80 inference(definition_unfolding,[],[f1631,f2242,f2250,f2496])).
% 14.69/2.80
% 14.69/2.80 tff(f2503,plain,(
% 14.69/2.80 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))))),'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('cod$'('c$'),'f$')))))),
% 14.69/2.80 inference(definition_unfolding,[],[f1633,f2496,f2496])).
% 14.69/2.80
% 14.69/2.80 tcf(c_120,negated_conjecture,
% 14.69/2.80 (~'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$')),'f$'),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'z$'))),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'y$')))),
% 14.69/2.80 inference(cnf_transformation,[],[f2499])).
% 14.69/2.80
% 14.69/2.80 tcf(c_121,negated_conjecture,
% 14.69/2.80 ('fun_app$q'('dom$'('c$'),'f$') = 'z$'),
% 14.69/2.80 inference(cnf_transformation,[],[f1627])).
% 14.69/2.80
% 14.69/2.80 tcf(c_122,negated_conjecture,
% 14.69/2.80 ('fun_app$q'('cod$'('c$'),'f$') = 'y$'),
% 14.69/2.80 inference(cnf_transformation,[],[f1628])).
% 14.69/2.80
% 14.69/2.80 tcf(c_124,negated_conjecture,
% 14.69/2.80 ('the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'y$')) = 'implode$'('collect$d'('uuw$'('c$','x$','y$')))),
% 14.69/2.80 inference(cnf_transformation,[],[f2500])).
% 14.69/2.80
% 14.69/2.80 tcf(c_125,negated_conjecture,
% 14.69/2.80 ('the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'z$')) = 'implode$'('collect$d'('uuw$'('c$','x$','z$')))),
% 14.69/2.80 inference(cnf_transformation,[],[f2501])).
% 14.69/2.80
% 14.69/2.80 tcf(c_127,negated_conjecture,
% 14.69/2.80 ('fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))))),'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('cod$'('c$'),'f$')))))),
% 14.69/2.80 inference(cnf_transformation,[],[f2503])).
% 14.69/2.80
% 14.69/2.80 tcf(c_629,negated_conjecture,![X0_'A_b_b_c_LSCategory_ext_Category_ext':'A_b_b_c_LSCategory_ext_Category_ext$',X0_'ZF_ZF_unit_Category_ext':'ZF_ZF_unit_Category_ext$',X0_'Unit':'Unit$',X0_'B_ZF_fun':'B_ZF_fun$']:
% 14.69/2.80 ('mapM$'('functor_ext$'(X0_'A_b_b_c_LSCategory_ext_Category_ext',X0_'ZF_ZF_unit_Category_ext',X0_'B_ZF_fun',X0_'Unit')) = X0_'B_ZF_fun'),
% 14.69/2.80 inference(cnf_transformation,[],[f2142])).
% 14.69/2.80
% 14.69/2.80 tcf(c_11318,plain,
% 14.69/2.80 ('the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'fun_app$q'('dom$'('c$'),'f$'))) = 'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))))),
% 14.69/2.80 inference(demodulation,[status(thm)],[c_125,c_121])).
% 14.69/2.80
% 14.69/2.80 tcf(c_11319,plain,
% 14.69/2.80 ('the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'fun_app$q'('cod$'('c$'),'f$'))) = 'implode$'('collect$d'('uuw$'('c$','x$','fun_app$q'('cod$'('c$'),'f$'))))),
% 14.69/2.80 inference(demodulation,[status(thm)],[c_124,c_122])).
% 14.69/2.80
% 14.69/2.80 tcf(c_12260,plain,
% 14.69/2.80 ('fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'fun_app$q'('dom$'('c$'),'f$')))),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'fun_app$q'('cod$'('c$'),'f$'))))),
% 14.69/2.80 inference(demodulation,[status(thm)],[c_127,c_11318,c_11319])).
% 14.69/2.80
% 14.69/2.80 tcf(c_13071,plain,
% 14.69/2.80 (~'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'fun_app$q'('dom$'('c$'),'f$')))),'the$'('uuq$'('functor_ext$'('c$','set$','homFtorMap$'('c$','x$'),'unity$'),'fun_app$q'('cod$'('c$'),'f$'))))),
% 14.69/2.80 inference(demodulation,[status(thm)],[c_120,c_121,c_122,c_629])).
% 14.69/2.80
% 14.69/2.80 tcf(c_13072,plain,
% 14.69/2.80 ($false),
% 14.69/2.80 inference(forward_subsumption_resolution,[status(thm)],[c_13071,c_12260])).
% 14.69/2.80
% 14.69/2.80
% 14.69/2.80 % SZS output end CNFRefutation for theBenchmark.p
% 14.69/2.80
% 14.69/2.80
%------------------------------------------------------------------------------