%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP388_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 : n014.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 01:49:32 PM UTC 2026
% Result : Theorem 3.99s 1.68s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP388_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Wed Sep 23 18:31:18 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running TFA theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 3.99/1.68 % SZS status Started for theBenchmark.p
% 3.99/1.68 ERROR - "ProverProcess:heur/schedule_none:304.9999792575836" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.99/1.68 Fatal error: exception Failure("undefined enum value")
% 3.99/1.68 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_yp1yhrbx/1uqvdw6m 2>> /export/starexec/sandbox/tmp/iprover_out_yp1yhrbx/1uqvdw6m_error
% 3.99/1.68 ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.99/1.68 Fatal error: exception Failure("undefined enum value")
% 3.99/1.68 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_yp1yhrbx/c9yuki37 2>> /export/starexec/sandbox/tmp/iprover_out_yp1yhrbx/c9yuki37_error
% 3.99/1.68 ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.99/1.68 Fatal error: exception Failure("undefined enum value")
% 3.99/1.68 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_yp1yhrbx/1_iei9pu 2>> /export/starexec/sandbox/tmp/iprover_out_yp1yhrbx/1_iei9pu_error
% 3.99/1.68 ERROR - "ProverProcess:heur/vip_65511:44.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.99/1.68 Fatal error: exception Failure("undefined enum value")
% 3.99/1.68 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_yp1yhrbx/ue626wvz 2>> /export/starexec/sandbox/tmp/iprover_out_yp1yhrbx/ue626wvz_error
% 3.99/1.68 ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 3.99/1.68 Fatal error: exception Failure("undefined enum value")
% 3.99/1.68 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_yp1yhrbx/8wwtdurp 2>> /export/starexec/sandbox/tmp/iprover_out_yp1yhrbx/8wwtdurp_error
% 3.99/1.68 % SZS status Theorem for theBenchmark.p
% 3.99/1.68
% 3.99/1.68 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.99/1.68
% 3.99/1.68 % ------ iProver source info
% 3.99/1.68
% 3.99/1.68 % git: date: 2026-07-19 20:42:38 +0200
% 3.99/1.68 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.99/1.68 % git: non_committed_changes: false
% 3.99/1.68
% 3.99/1.68 % ------ Parsing...
% 3.99/1.68 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.99/1.68 % ------ Proving...
% 3.99/1.68 % ------ Problem Properties
% 3.99/1.68
% 3.99/1.68 %
% 3.99/1.68 % clauses 1078
% 3.99/1.68 % conjectures 1
% 3.99/1.68 % EPR 81
% 3.99/1.68 % Horn 794
% 3.99/1.68 % unary 291
% 3.99/1.68 % binary 327
% 3.99/1.68 % lits 2611
% 3.99/1.68 % lits eq 598
% 3.99/1.68 % fd_pure 0
% 3.99/1.68 % fd_pseudo 0
% 3.99/1.68 % fd_cond 41
% 3.99/1.68 % fd_pseudo_cond 57
% 3.99/1.68 % AC symbols 1
% 3.99/1.68
% 3.99/1.68 % ------ Input Options Time Limit: Unbounded
% 3.99/1.68
% 3.99/1.68
% 3.99/1.68 % ------
% 3.99/1.68 % Current options:
% 3.99/1.68 % ------
% 3.99/1.68
% 3.99/1.68
% 3.99/1.68 %
% 3.99/1.68
% 3.99/1.68 % ------ Proving...
% 3.99/1.68 %
% 3.99/1.68
% 3.99/1.68 % SZS status Theorem for theBenchmark.p
% 3.99/1.68
% 3.99/1.68 % SZS output start CNFRefutation for theBenchmark.p
% 3.99/1.68
% 3.99/1.68 tff(func_def_0, type, 'uum$': ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$') > 'Nat_bool_fun$').
% 3.99/1.68 tff(pred_def_1, type, 'inj_on$c': ('B_ell2_nat_fun$' * 'B_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_2, type, 'fun_app$u': ('Num_bool_fun$' * 'Num$') > $o).
% 3.99/1.68 tff(pred_def_3, type, 'fun_app$a': ('Nat_set_bool_fun$' * 'Nat_set$') > $o).
% 3.99/1.68 tff(pred_def_4, type, 'less_eq$': ('B_ell2_set$' * 'B_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_5, type, 'member$d': ('Enat$' * 'Enat_set$') > $o).
% 3.99/1.68 tff(pred_def_6, type, 'member$b': ('B_ell2$' * 'B_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_7, type, 'inj_on$o': ('Nat_set_nat_set_fun$' * 'Nat_set_set$') > $o).
% 3.99/1.68 tff(pred_def_8, type, 'inj_on$h': ('A_ell2_a_b_prod_ell2_fun$' * 'A_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_9, type, 'folding_insort_key_axioms$a': ('Nat_set$' * 'Nat_nat_fun$') > $o).
% 3.99/1.68 tff(pred_def_10, type, 'inj_on$a': ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_11, type, 'inj_on$n': ('B_ell2_set_a_b_prod_ell2_set_fun$' * 'B_ell2_set_set$') > $o).
% 3.99/1.68 tff(pred_def_12, type, 'folding_insort_key_axioms$': ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$') > $o).
% 3.99/1.68 tff(pred_def_13, type, 'fun_app$b': ('Nat_bool_fun$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_14, type, 'fun_app$m': ('A_b_prod_ell2_set_bool_fun$' * 'A_b_prod_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_15, type, 'inj_on$m': ('Int_int_fun$' * 'Int_set$') > $o).
% 3.99/1.68 tff(pred_def_16, type, 'less_eq$f': ('A_b_prod_ell2_set_set$' * 'A_b_prod_ell2_set_set$') > $o).
% 3.99/1.68 tff(pred_def_17, type, 'inj_on$f': ('B_ell2_b_a_prod_ell2_fun$' * 'B_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_18, type, 'fun_app$p': ('B_ell2_bool_fun$' * 'B_ell2$') > $o).
% 3.99/1.68 tff(pred_def_19, type, 'member$c': ('A_ell2$' * 'A_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_20, type, 'fun_app$ah': ('Int_bool_fun$' * $int) > $o).
% 3.99/1.68 tff(pred_def_21, type, 'fun_app$l': ('A_b_prod_ell2_bool_fun$' * 'A_b_prod_ell2$') > $o).
% 3.99/1.68 tff(pred_def_22, type, 'member$e': ($int * 'Int_set$') > $o).
% 3.99/1.68 tff(pred_def_23, type, 'less_eq$e': ('Nat_bool_fun$' * 'Nat_bool_fun$') > $o).
% 3.99/1.68 tff(pred_def_24, type, 'inj_on$b': ('B_ell2_b_ell2_fun$' * 'B_ell2_set$') > $o).
% 3.99/1.68 tff(pred_def_25, type, 'fun_app$w': ('Enat_bool_fun$' * 'Enat$') > $o).
% 3.99/1.68 tff(pred_def_26, type, 'fun_app$': ('Nat_nat_fun_bool_fun$' * 'Nat_nat_fun$') > $o).
% 3.99/1.68 tff(func_def_27, type, 'sub$a': ('Num$' * 'Num$') > 'A_ell2$').
% 3.99/1.68 tff(func_def_28, type, 'fun_app$ac': ('Enat_num_fun$' * 'Enat$') > 'Num$').
% 3.99/1.68 tff(pred_def_29, type, sP0: ('Num$' * 'Num$' * 'Num$') > $o).
% 3.99/1.68 tff(pred_def_30, type, sP1: ('Num$' * 'Num$' * 'Num$') > $o).
% 3.99/1.68 tff(pred_def_31, type, sP2: ('Num$' * 'Num$' * 'Num$') > $o).
% 3.99/1.68 tff(pred_def_32, type, sP3: ('Enat$' * 'Enat$' * 'Enat$') > $o).
% 3.99/1.68 tff(pred_def_33, type, sP4: ('Enat$' * 'Enat$' * 'Enat$') > $o).
% 3.99/1.68 tff(pred_def_34, type, sP5: ('Enat$' * 'Enat$' * 'Enat$') > $o).
% 3.99/1.68 tff(pred_def_35, type, sP6: ($int * $int * $int) > $o).
% 3.99/1.68 tff(pred_def_36, type, sP7: ($int * $int * $int) > $o).
% 3.99/1.68 tff(pred_def_37, type, sP8: ($int * $int * $int) > $o).
% 3.99/1.68 tff(pred_def_38, type, sP9: ('Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_39, type, sP10: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_40, type, sP11: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_41, type, sP12: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_42, type, sP13: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_43, type, sP14: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_44, type, sP15: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_45, type, sP16: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_46, type, sP17: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(pred_def_47, type, sP18: ('Nat$' * 'Nat$' * 'Nat$') > $o).
% 3.99/1.68 tff(func_def_48, type, 'minus$g': ('Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat_bool_fun$').
% 3.99/1.68 tff(func_def_49, type, 'minus$b': ('Nat_set$' * 'Nat_set$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_50, type, 'uuc$': 'Nat_nat_fun$').
% 3.99/1.68 tff(func_def_51, type, 'tensor_ell2$b': ('B_ell2$' * 'A_ell2$') > 'B_a_prod_ell2$').
% 3.99/1.68 tff(func_def_52, type, 'uminus$d': 'Int_set$' > 'Int_set$').
% 3.99/1.68 tff(func_def_53, type, 'uur$': $int > 'Int_int_fun$').
% 3.99/1.68 tff(func_def_54, type, 'image$b': ('B_ell2_nat_fun$' * 'B_ell2_set$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_55, type, 'uminus$c': 'A_ell2$' > 'A_ell2$').
% 3.99/1.68 tff(func_def_56, type, 'fun_app$s': ('A_b_prod_ell2_set_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_set$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_57, type, 'comp$a': ('A_b_prod_ell2_b_ell2_fun$' * 'Nat_a_b_prod_ell2_fun$') > 'Nat_b_ell2_fun$').
% 3.99/1.68 tff(func_def_58, type, 'uuj$': ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_bool_fun$') > 'A_b_prod_ell2_bool_fun$').
% 3.99/1.68 tff(func_def_59, type, 'top$e': 'A_ell2_set$').
% 3.99/1.68 tff(func_def_60, type, 'sub$': 'Num$' > 'Num_int_fun$').
% 3.99/1.68 tff(func_def_61, type, 'fun_app$v': ('Num_num_bool_fun_fun$' * 'Num$') > 'Num_bool_fun$').
% 3.99/1.68 tff(func_def_62, type, 'comp$m': ('B_ell2_nat_fun$' * 'Nat_b_ell2_fun$') > 'Nat_nat_fun$').
% 3.99/1.68 tff(func_def_63, type, 'image$a': 'Nat_nat_fun$' > 'Nat_set_nat_set_fun$').
% 3.99/1.68 tff(func_def_64, type, 'comp$j': ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_65, type, 'comp$b': ('Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat_nat_fun$').
% 3.99/1.68 tff(func_def_66, type, 'uminus$': 'Nat_set$' > 'Nat_set$').
% 3.99/1.68 tff(func_def_67, type, 'minus$e': 'A_ell2$' > 'A_ell2_a_ell2_fun$').
% 3.99/1.68 tff(func_def_68, type, 'uu$': ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2_a_b_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_69, type, 'fun_app$j': ('B_ell2_b_ell2_fun$' * 'B_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_70, type, 'less_eq$b': 'A_b_prod_ell2_set$' > 'A_b_prod_ell2_set_bool_fun$').
% 3.99/1.68 tff(func_def_71, type, 'uuo$': $int > 'Int_int_fun$').
% 3.99/1.68 tff(func_def_72, type, 'top$a': 'B_ell2_set$').
% 3.99/1.68 tff(func_def_73, type, 'dbl$a': 'A_ell2$' > 'A_ell2$').
% 3.99/1.68 tff(func_def_74, type, 'to_nat$': 'Nat_nat_fun$').
% 3.99/1.68 tff(func_def_75, type, 'eps$': 'Nat_nat_fun_bool_fun$' > 'Nat_nat_fun$').
% 3.99/1.68 tff(func_def_76, type, 'uue$': 'A_ell2$' > 'A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_77, type, 'uminus$a': 'B_ell2_set$' > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_78, type, 'inj_on$k': 'A_b_prod_ell2_a_b_prod_ell2_fun$' > 'A_b_prod_ell2_set_bool_fun$').
% 3.99/1.68 tff(func_def_79, type, 'member$a': 'A_b_prod_ell2$' > 'A_b_prod_ell2_set_bool_fun$').
% 3.99/1.68 tff(func_def_80, type, 'fun_app$ae': ('Enat_int_fun$' * 'Enat$') > $int).
% 3.99/1.68 tff(func_def_81, type, 'one$a': 'Nat$').
% 3.99/1.68 tff(func_def_82, type, 'tensor_ell2$a': ('A_b_prod_ell2$' * 'A_ell2$') > 'A_b_prod_a_prod_ell2$').
% 3.99/1.68 tff(func_def_83, type, 'uminus$e': 'Nat_bool_fun$' > 'Nat_bool_fun$').
% 3.99/1.68 tff(func_def_84, type, 'numeral$b': 'Num$' > 'A_ell2$').
% 3.99/1.68 tff(func_def_85, type, 'fun_app$ag': ('Int_enat_fun$' * $int) > 'Enat$').
% 3.99/1.68 tff(func_def_86, type, 'tensor_ell2$d': 'A_ell2$' > 'A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_87, type, 'top$g': 'Int_set$').
% 3.99/1.68 tff(func_def_88, type, 'top$i': 'Enat$').
% 3.99/1.68 tff(func_def_89, type, 'uud$': 'A_ell2$' > 'B_ell2_b_a_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_90, type, 'numeral$': 'Num_int_fun$').
% 3.99/1.68 tff(func_def_91, type, 'member$': 'Nat$' > 'Nat_set_bool_fun$').
% 3.99/1.68 tff(func_def_92, type, 'comp$k': ('Nat_nat_fun$' * 'B_ell2_nat_fun$') > 'B_ell2_nat_fun$').
% 3.99/1.68 tff(func_def_93, type, 'fun_app$d': ('A_ell2_a_b_prod_ell2_fun$' * 'A_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_94, type, 'top$c': 'B_ell2_bool_fun$').
% 3.99/1.68 tff(func_def_95, type, 'comp$i': ('A_b_prod_ell2_b_ell2_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_fun$') > 'A_b_prod_ell2_b_ell2_fun$').
% 3.99/1.68 tff(func_def_96, type, 'fun_app$z': ('Num_num_fun$' * 'Num$') > 'Num$').
% 3.99/1.68 tff(func_def_97, type, 'fun_app$i': ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_98, type, 'less_eq$a': 'Nat_set$' > 'Nat_set_bool_fun$').
% 3.99/1.68 tff(func_def_99, type, 'fun_app$k': ('A_b_prod_ell2_b_ell2_fun$' * 'A_b_prod_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_100, type, 'comp$f': ('A_b_prod_ell2_b_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2_b_ell2_fun$').
% 3.99/1.68 tff(func_def_101, type, 'comp$d': ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_b_ell2_fun$') > 'B_ell2_a_b_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_102, type, 'fun_app$af': ('Int_num_fun$' * $int) > 'Num$').
% 3.99/1.68 tff(func_def_103, type, 'image$d': ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_set$') > 'A_b_prod_ell2_set$').
% 3.99/1.68 tff(func_def_104, type, 'numeral$a': 'Num_enat_fun$').
% 3.99/1.68 tff(func_def_105, type, 'uminus$b': 'A_b_prod_ell2_set$' > 'A_b_prod_ell2_set$').
% 3.99/1.68 tff(func_def_106, type, 'fun_app$o': ('Nat_set_nat_set_fun$' * 'Nat_set$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_107, type, 'the_inv_into$a': ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$') > 'A_b_prod_ell2_b_ell2_fun$').
% 3.99/1.68 tff(func_def_108, type, 'inj_on$j': 'Nat_b_ell2_fun$' > 'Nat_set_bool_fun$').
% 3.99/1.68 tff(func_def_109, type, 'fun_app$f': ('A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'A_b_prod_a_prod_ell2$').
% 3.99/1.68 tff(func_def_110, type, 'fun_app$c': ('Nat_nat_fun$' * 'Nat$') > 'Nat$').
% 3.99/1.68 tff(func_def_111, type, 'top$b': 'A_b_prod_ell2_set$').
% 3.99/1.68 tff(func_def_112, type, 'image$h': ('B_ell2_set_a_b_prod_ell2_set_fun$' * 'B_ell2_set_set$') > 'A_b_prod_ell2_set_set$').
% 3.99/1.68 tff(func_def_113, type, 'fpow$': 'B_ell2_set$' > 'B_ell2_set_set$').
% 3.99/1.68 tff(func_def_114, type, 'fun_app$n': ('B_ell2_set_a_b_prod_ell2_set_fun$' * 'B_ell2_set$') > 'A_b_prod_ell2_set$').
% 3.99/1.68 tff(func_def_115, type, 'minus$': 'A_b_prod_ell2$' > 'A_b_prod_ell2_a_b_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_116, type, 'the_inv_into$b': ('Nat_set$' * 'Nat_nat_fun$') > 'Nat_nat_fun$').
% 3.99/1.68 tff(func_def_117, type, 'zero$': 'A_ell2$').
% 3.99/1.68 tff(func_def_118, type, 'uui$': 'A_b_prod_ell2_bool_fun$').
% 3.99/1.68 tff(func_def_119, type, 'uub$': ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_b_ell2_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_120, type, 'inj_on$d': 'A_b_prod_ell2_nat_fun$' > 'A_b_prod_ell2_set_bool_fun$').
% 3.99/1.68 tff(func_def_121, type, 'top$f': 'Enat_set$').
% 3.99/1.68 tff(func_def_122, type, 'fpow$b': 'A_b_prod_ell2_set$' > 'A_b_prod_ell2_set_set$').
% 3.99/1.68 tff(func_def_123, type, 'minus$f': ('Int_set$' * 'Int_set$') > 'Int_set$').
% 3.99/1.68 tff(func_def_124, type, 'minus$c': ('B_ell2_set$' * 'B_ell2_set$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_125, type, 'nat$': $int > 'Nat$').
% 3.99/1.68 tff(func_def_126, type, 'image$c': ('A_b_prod_ell2_nat_fun$' * 'A_b_prod_ell2_set$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_127, type, 'uua$': ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_b_ell2_fun$') > 'B_ell2_a_b_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_128, type, 'comp$': ('A_b_prod_ell2_nat_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2_nat_fun$').
% 3.99/1.68 tff(func_def_129, type, 'fun_app$ai': ('Int_int_bool_fun_fun$' * $int) > 'Int_bool_fun$').
% 3.99/1.68 tff(func_def_130, type, 'image$f': ('A_b_prod_ell2_b_ell2_fun$' * 'A_b_prod_ell2_set$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_131, type, 'fun_app$ab': ('Num_int_fun$' * 'Num$') > $int).
% 3.99/1.68 tff(func_def_132, type, 'uul$': ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$') > 'Nat_bool_fun$').
% 3.99/1.68 tff(func_def_133, type, 'fun_app$t': ('Nat_b_ell2_fun$' * 'Nat$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_134, type, 'tensor_ell2$c': ('A_ell2$' * 'A_ell2$') > 'A_a_prod_ell2$').
% 3.99/1.68 tff(func_def_135, type, 'top$h': 'Nat_bool_fun$').
% 3.99/1.68 tff(func_def_136, type, 'one$c': 'Num$').
% 3.99/1.68 tff(func_def_137, type, 'minus$a': 'B_ell2$' > 'B_ell2_b_ell2_fun$').
% 3.99/1.68 tff(func_def_138, type, 'one$': 'A_ell2$').
% 3.99/1.68 tff(func_def_139, type, 'uuu$': 'Nat_set$' > 'Nat_bool_fun$').
% 3.99/1.68 tff(func_def_140, type, 'plus$': ('A_ell2$' * 'A_ell2$') > 'A_ell2$').
% 3.99/1.68 tff(func_def_141, type, 'inj_on$e': 'A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$' > 'A_b_prod_ell2_set_bool_fun$').
% 3.99/1.68 tff(func_def_142, type, 'fun_app$ad': ('Enat_enat_fun$' * 'Enat$') > 'Enat$').
% 3.99/1.68 tff(func_def_143, type, 'dbl_dec$': 'A_ell2$' > 'A_ell2$').
% 3.99/1.68 tff(func_def_144, type, 'image$e': ('B_ell2_b_ell2_fun$' * 'B_ell2_set$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_145, type, 'inj_on$': 'Nat_nat_fun$' > 'Nat_set_bool_fun$').
% 3.99/1.68 tff(func_def_146, type, 'less_eq$c': 'Num_num_bool_fun_fun$').
% 3.99/1.68 tff(func_def_147, type, 'fun_app$r': ('A_b_prod_ell2_nat_fun$' * 'A_b_prod_ell2$') > 'Nat$').
% 3.99/1.68 tff(func_def_148, type, 'zero$d': 'Nat$').
% 3.99/1.68 tff(func_def_149, type, 'top$': 'Nat_set$').
% 3.99/1.68 tff(func_def_150, type, 'comp$l': ('Nat_nat_fun$' * 'A_b_prod_ell2_nat_fun$') > 'A_b_prod_ell2_nat_fun$').
% 3.99/1.68 tff(func_def_151, type, 'inj_on$g': 'A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$' > 'A_b_prod_ell2_set_bool_fun$').
% 3.99/1.68 tff(func_def_152, type, 'collect$': 'B_ell2_bool_fun$' > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_153, type, 'zero$c': 'A_a_prod_ell2$').
% 3.99/1.68 tff(func_def_154, type, 'uup$': 'B_ell2$' > 'B_ell2_b_ell2_fun$').
% 3.99/1.68 tff(func_def_155, type, 'comp$h': ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_b_ell2_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_fun$').
% 3.99/1.68 tff(func_def_156, type, 'bit1$': 'Num_num_fun$').
% 3.99/1.68 tff(func_def_157, type, 'less_eq$d': 'Enat_enat_bool_fun_fun$').
% 3.99/1.68 tff(func_def_158, type, 'bit0$': 'Num_num_fun$').
% 3.99/1.68 tff(func_def_159, type, 'uuk$': ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_bool_fun$') > 'B_ell2_bool_fun$').
% 3.99/1.68 tff(func_def_160, type, 'inj_on$l': 'Nat_a_b_prod_ell2_fun$' > 'Nat_set_bool_fun$').
% 3.99/1.68 tff(func_def_161, type, 'fpow$a': 'Nat_set$' > 'Nat_set_set$').
% 3.99/1.68 tff(func_def_162, type, 'top$d': 'A_b_prod_ell2_bool_fun$').
% 3.99/1.68 tff(func_def_170, type, sK19: 'A_b_prod_ell2$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_171, type, sK20: ('A_b_prod_ell2$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_172, type, sK21: ('Nat$' * 'B_ell2_nat_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_173, type, sK22: ('Nat$' * 'A_b_prod_ell2_nat_fun$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_174, type, sK23: ('B_ell2_b_ell2_fun$' * 'B_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_175, type, sK24: ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_176, type, sK25: ('A_b_prod_ell2_b_ell2_fun$' * 'B_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_177, type, sK26: ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_178, type, sK27: ('B_ell2_b_ell2_fun$' * 'B_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_179, type, sK28: ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_180, type, sK29: ('A_b_prod_ell2_b_ell2_fun$' * 'B_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_181, type, sK30: ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_182, type, sK31: ('B_ell2_b_ell2_fun$' * 'B_ell2_b_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_183, type, sK32: ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_b_ell2_fun$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_184, type, sK33: ('A_b_prod_ell2_b_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_185, type, sK34: ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_fun$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_186, type, sK35: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_187, type, sK36: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_188, type, sK37: ('Nat_set$' * 'Nat_nat_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_189, type, sK38: ('Nat_set$' * 'Nat_nat_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_190, type, sK39: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_191, type, sK40: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_192, type, sK41: ('Nat_nat_fun$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_193, type, sK42: ('Nat_nat_fun$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_194, type, sK43: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_195, type, sK44: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_196, type, sK45: ('B_ell2_set$' * 'A_b_prod_ell2_b_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_197, type, sK46: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_198, type, sK47: 'Nat_nat_fun$' > 'Nat$').
% 3.99/1.68 tff(func_def_199, type, sK48: 'Nat_nat_fun$' > 'Nat$').
% 3.99/1.68 tff(func_def_200, type, sK49: 'B_ell2_a_b_prod_ell2_fun$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_201, type, sK50: 'B_ell2_a_b_prod_ell2_fun$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_202, type, sK51: 'Nat_nat_fun$' > 'Nat$').
% 3.99/1.68 tff(func_def_203, type, sK52: 'Nat_nat_fun$' > 'Nat$').
% 3.99/1.68 tff(func_def_204, type, sK53: 'B_ell2_a_b_prod_ell2_fun$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_205, type, sK54: 'B_ell2_a_b_prod_ell2_fun$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_206, type, sK55: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_b_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_207, type, sK56: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_b_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_208, type, sK57: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_209, type, sK58: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_210, type, sK59: ('Nat_nat_fun$' * 'Nat$' * 'Nat$') > 'Nat$').
% 3.99/1.68 tff(func_def_211, type, sK60: ('Nat_nat_fun$' * 'Nat$') > 'Nat$').
% 3.99/1.68 tff(func_def_212, type, sK61: ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$' * 'B_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_213, type, sK62: ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_214, type, sK63: ('B_ell2_nat_fun$' * 'Nat$' * 'B_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_215, type, sK64: ('B_ell2_nat_fun$' * 'Nat$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_216, type, sK65: ('A_b_prod_ell2_nat_fun$' * 'Nat$' * 'A_b_prod_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_217, type, sK66: ('A_b_prod_ell2_nat_fun$' * 'Nat$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_218, type, sK67: 'Nat$').
% 3.99/1.68 tff(func_def_219, type, sK68: 'B_ell2$').
% 3.99/1.68 tff(func_def_220, type, sK69: 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_221, type, sK70: 'Nat_set$' > 'Nat$').
% 3.99/1.68 tff(func_def_222, type, sK71: 'B_ell2_set$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_223, type, sK72: 'A_b_prod_ell2_set$' > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_224, type, sK73: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_bool_fun$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_225, type, sK74: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_226, type, sK75: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_227, type, sK76: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_bool_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_228, type, sK77: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_229, type, sK78: ('A_b_prod_ell2$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_230, type, sK79: ('Nat$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_231, type, sK80: ('A_b_prod_ell2$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_232, type, sK81: ('Nat$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_233, type, sK82: 'B_ell2_b_ell2_fun$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_234, type, sK83: ('B_ell2_b_ell2_fun$' * 'B_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_235, type, sK84: 'B_ell2_a_b_prod_ell2_fun$' > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_236, type, sK85: ('B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_237, type, sK86: 'A_b_prod_ell2_b_ell2_fun$' > 'B_ell2$').
% 3.99/1.68 tff(func_def_238, type, sK87: ('A_b_prod_ell2_b_ell2_fun$' * 'B_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_239, type, sK88: 'A_b_prod_ell2_a_b_prod_ell2_fun$' > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_240, type, sK89: ('A_b_prod_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2$') > 'A_b_prod_ell2$').
% 3.99/1.68 tff(func_def_241, type, sK90: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_242, type, sK91: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_a_b_prod_ell2_fun$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_243, type, sK92: 'Nat_nat_fun$').
% 3.99/1.68 tff(func_def_244, type, sK93: ('Nat_set$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_245, type, sK94: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_246, type, sK95: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_247, type, sK96: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_248, type, sK97: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_249, type, sK98: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_250, type, sK99: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_251, type, sK100: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_252, type, sK101: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_253, type, sK102: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_254, type, sK103: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_255, type, sK104: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_256, type, sK105: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_257, type, sK106: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_258, type, sK107: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_259, type, sK108: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_260, type, sK109: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_261, type, sK110: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_262, type, sK111: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_263, type, sK112: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_264, type, sK113: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_265, type, sK114: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_266, type, sK115: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_267, type, sK116: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_268, type, sK117: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_269, type, sK118: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_270, type, sK119: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_271, type, sK120: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_272, type, sK121: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_273, type, sK122: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_274, type, sK123: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_275, type, sK124: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_276, type, sK125: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_277, type, sK126: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_278, type, sK127: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_279, type, sK128: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_280, type, sK129: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_281, type, sK130: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_282, type, sK131: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_283, type, sK132: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_284, type, sK133: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_285, type, sK134: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_286, type, sK135: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_287, type, sK136: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_288, type, sK137: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_289, type, sK138: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_290, type, sK139: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_291, type, sK140: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_292, type, sK141: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_293, type, sK142: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_294, type, sK143: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_295, type, sK144: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_296, type, sK145: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_297, type, sK146: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_298, type, sK147: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_299, type, sK148: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_300, type, sK149: 'Num_num_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_301, type, sK150: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_302, type, sK151: 'Enat_num_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_303, type, sK152: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_304, type, sK153: 'Int_num_fun$' > $int).
% 3.99/1.68 tff(func_def_305, type, sK154: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_306, type, sK155: 'Num_enat_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_307, type, sK156: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_308, type, sK157: 'Enat_enat_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_309, type, sK158: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_310, type, sK159: 'Int_enat_fun$' > $int).
% 3.99/1.68 tff(func_def_311, type, sK160: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_312, type, sK161: 'Num_int_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_313, type, sK162: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_314, type, sK163: 'Enat_int_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_315, type, sK164: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_316, type, sK165: 'Int_int_fun$' > $int).
% 3.99/1.68 tff(func_def_317, type, sK166: ('Nat_set$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_318, type, sK167: ('Nat_set$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_319, type, sK168: 'Num_num_bool_fun_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_320, type, sK169: 'Num_num_bool_fun_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_321, type, sK170: 'Num_num_bool_fun_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_322, type, sK171: 'Num_num_bool_fun_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_323, type, sK172: 'Enat_enat_bool_fun_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_324, type, sK173: 'Enat_enat_bool_fun_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_325, type, sK174: 'Enat_enat_bool_fun_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_326, type, sK175: 'Enat_enat_bool_fun_fun$' > 'Enat$').
% 3.99/1.68 tff(func_def_327, type, sK176: 'Int_int_bool_fun_fun$' > $int).
% 3.99/1.68 tff(func_def_328, type, sK177: 'Int_int_bool_fun_fun$' > $int).
% 3.99/1.68 tff(func_def_329, type, sK178: 'Int_int_bool_fun_fun$' > $int).
% 3.99/1.68 tff(func_def_330, type, sK179: 'Int_int_bool_fun_fun$' > $int).
% 3.99/1.68 tff(func_def_331, type, sK180: ('A_b_prod_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_332, type, sK181: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_set$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_333, type, sK182: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_334, type, sK183: ('A_b_prod_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_335, type, sK184: ('B_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_set$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_336, type, sK185: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat$').
% 3.99/1.68 tff(func_def_337, type, sK186: ('A_b_prod_ell2_set$' * 'B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_338, type, sK187: ('Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_339, type, sK188: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_set_bool_fun$') > 'A_b_prod_ell2_set$').
% 3.99/1.68 tff(func_def_340, type, sK189: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_set_bool_fun$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_341, type, sK190: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_set_bool_fun$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_342, type, sK191: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_set_bool_fun$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_343, type, sK192: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_set_bool_fun$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_344, type, sK193: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_set_bool_fun$') > 'A_b_prod_ell2_set$').
% 3.99/1.68 tff(func_def_345, type, sK194: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_set_bool_fun$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_346, type, sK195: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_set_bool_fun$') > 'Nat_set$').
% 3.99/1.68 tff(func_def_347, type, sK196: ('B_ell2_bool_fun$' * 'B_ell2_a_b_prod_ell2_fun$' * 'A_b_prod_ell2_set$') > 'B_ell2$').
% 3.99/1.68 tff(func_def_348, type, sK197: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_set_bool_fun$') > 'B_ell2_set$').
% 3.99/1.68 tff(func_def_349, type, sK198: ('B_ell2_a_b_prod_ell2_fun$' * 'B_ell2_set$' * 'A_b_prod_ell2_set_bool_fun$') > 'A_b_prod_ell2_set$').
% 3.99/1.68 tff(func_def_350, type, sK199: ('Nat_set$' * 'Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_351, type, sK200: ('Nat_set$' * 'Nat_bool_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_352, type, sK201: ('Nat_set$' * 'Nat_bool_fun$' * 'Nat_bool_fun$') > 'Nat$').
% 3.99/1.68 tff(func_def_353, type, sK202: 'Num_bool_fun$' > 'Num$').
% 3.99/1.68 tff(func_def_354, type, sK203: 'Nat_bool_fun$' > 'Nat$').
% 3.99/1.68 tff(func_def_355, type, sK204: ('Nat_bool_fun$' * 'Nat$') > 'Nat$').
% 3.99/1.68 tff(func_def_356, type, sK205: ('Nat_set$' * 'Nat$') > 'Nat$').
% 3.99/1.68 tff(func_def_357, type, sK206: 'Num$' > 'Num$').
% 3.99/1.68 tff(func_def_358, type, sK207: 'Num$' > 'Num$').
% 3.99/1.68 tff(f25,conjecture,(
% 3.99/1.68 'fun_app$n'('image$'('tensor_ell2$'('psi$')),'top$a') = 'top$b'),
% 3.99/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture24)).
% 3.99/1.68
% 3.99/1.68 tff(f26,negated_conjecture,(
% 3.99/1.68 ~ 'fun_app$n'('image$'('tensor_ell2$'('psi$')),'top$a') = 'top$b'),
% 3.99/1.68 inference(negated_conjecture,[status(cth)],[f25])).
% 3.99/1.68
% 3.99/1.68 tff(f27,axiom,(
% 3.99/1.68 ! [X0 : 'A_b_prod_ell2$'] : ? [X1 : 'B_ell2$'] : 'fun_app$e'('tensor_ell2$'('psi$'),X1) = X0),
% 3.99/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom25)).
% 3.99/1.68
% 3.99/1.68 tff(f136,axiom,(
% 3.99/1.68 ! [X0 : 'B_ell2_a_b_prod_ell2_fun$'] : ('fun_app$n'('image$'(X0),'top$a') = 'top$b' <=> ! [X1 : 'A_b_prod_ell2$'] : ? [X2 : 'B_ell2$'] : X1 = 'fun_app$e'(X0,X2))),
% 3.99/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom134)).
% 3.99/1.68
% 3.99/1.68 tff(f830,plain,(
% 3.99/1.68 'fun_app$n'('image$'('tensor_ell2$'('psi$')),'top$a') != 'top$b'),
% 3.99/1.68 inference(flattening,[],[f26])).
% 3.99/1.68
% 3.99/1.68 tff(f1407,plain,(
% 3.99/1.68 ! [X0 : 'A_b_prod_ell2$'] : 'fun_app$e'('tensor_ell2$'('psi$'),sK19(X0)) = X0),
% 3.99/1.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X1,sK19(X0))],[f27])).
% 3.99/1.68
% 3.99/1.68 tff(f1500,plain,(
% 3.99/1.68 ! [X0 : 'B_ell2_a_b_prod_ell2_fun$'] : (('fun_app$n'('image$'(X0),'top$a') = 'top$b' | ? [X1 : 'A_b_prod_ell2$'] : ! [X2 : 'B_ell2$'] : 'fun_app$e'(X0,X2) != X1) & (! [X1 : 'A_b_prod_ell2$'] : ? [X2 : 'B_ell2$'] : X1 = 'fun_app$e'(X0,X2) | 'top$b' != 'fun_app$n'('image$'(X0),'top$a')))),
% 3.99/1.68 inference(nnf_transformation,[],[f136])).
% 3.99/1.68
% 3.99/1.68 tff(f1501,plain,(
% 3.99/1.68 ! [X0 : 'B_ell2_a_b_prod_ell2_fun$'] : (('fun_app$n'('image$'(X0),'top$a') = 'top$b' | ? [X1 : 'A_b_prod_ell2$'] : ! [X2 : 'B_ell2$'] : 'fun_app$e'(X0,X2) != X1) & (! [X3 : 'A_b_prod_ell2$'] : ? [X4 : 'B_ell2$'] : 'fun_app$e'(X0,X4) = X3 | 'top$b' != 'fun_app$n'('image$'(X0),'top$a')))),
% 3.99/1.68 inference(rectify,[],[f1500])).
% 3.99/1.68
% 3.99/1.68 tff(f1502,plain,(
% 3.99/1.68 ! [X0 : 'B_ell2_a_b_prod_ell2_fun$'] : (('fun_app$n'('image$'(X0),'top$a') = 'top$b' | ! [X2 : 'B_ell2$'] : 'fun_app$e'(X0,X2) != sK84(X0)) & (! [X3 : 'A_b_prod_ell2$'] : 'fun_app$e'(X0,sK85(X0,X3)) = X3 | 'top$b' != 'fun_app$n'('image$'(X0),'top$a')))),
% 3.99/1.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK84,sK85]),skolemize(X1,sK84(X0)),skolemize(X4,sK85(X0,X3))],[f1501])).
% 3.99/1.68
% 3.99/1.68 tff(f1798,plain,(
% 3.99/1.68 'fun_app$n'('image$'('tensor_ell2$'('psi$')),'top$a') != 'top$b'),
% 3.99/1.68 inference(cnf_transformation,[],[f830])).
% 3.99/1.68
% 3.99/1.68 tff(f1799,plain,(
% 3.99/1.68 ( ! [X0 : 'A_b_prod_ell2$'] : ('fun_app$e'('tensor_ell2$'('psi$'),sK19(X0)) = X0) )),
% 3.99/1.68 inference(cnf_transformation,[],[f1407])).
% 3.99/1.68
% 3.99/1.68 tff(f1984,plain,(
% 3.99/1.68 ( ! [X2 : 'B_ell2$',X0 : 'B_ell2_a_b_prod_ell2_fun$'] : ('top$b' = 'fun_app$n'('image$'(X0),'top$a') | 'fun_app$e'(X0,X2) != sK84(X0)) )),
% 3.99/1.68 inference(cnf_transformation,[],[f1502])).
% 3.99/1.68
% 3.99/1.68 tcf(c_100,negated_conjecture,
% 3.99/1.68 ('fun_app$n'('image$'('tensor_ell2$'('psi$')),'top$a') != 'top$b'),
% 3.99/1.68 inference(cnf_transformation,[],[f1798])).
% 3.99/1.68
% 3.99/1.68 tcf(c_101,plain,![X0_'A_b_prod_ell2':'A_b_prod_ell2$']:
% 3.99/1.68 ('fun_app$e'('tensor_ell2$'('psi$'),sK19(X0_'A_b_prod_ell2')) = X0_'A_b_prod_ell2'),
% 3.99/1.68 inference(cnf_transformation,[],[f1799])).
% 3.99/1.68
% 3.99/1.68 tcf(c_281,plain,![X0_'B_ell2_a_b_prod_ell2_fun':'B_ell2_a_b_prod_ell2_fun$',X0_'B_ell2':'B_ell2$']:
% 3.99/1.68 ('fun_app$e'(X0_'B_ell2_a_b_prod_ell2_fun',X0_'B_ell2') != sK84(X0_'B_ell2_a_b_prod_ell2_fun')|
% 3.99/1.68 'fun_app$n'('image$'(X0_'B_ell2_a_b_prod_ell2_fun'),'top$a') = 'top$b'),
% 3.99/1.68 inference(cnf_transformation,[],[f1984])).
% 3.99/1.68
% 3.99/1.68 tcf(c_1873,plain,![X0_'B_ell2':'B_ell2$']:
% 3.99/1.68 ('fun_app$e'('tensor_ell2$'('psi$'),X0_'B_ell2') != sK84('tensor_ell2$'('psi$'))|
% 3.99/1.68 'fun_app$n'('image$'('tensor_ell2$'('psi$')),'top$a') = 'top$b'),
% 3.99/1.68 inference(instantiation,[status(thm)],[c_281])).
% 3.99/1.68
% 3.99/1.68 tcf(c_1886,plain,
% 3.99/1.68 ('fun_app$e'('tensor_ell2$'('psi$'),sK19(sK84('tensor_ell2$'('psi$')))) != sK84('tensor_ell2$'('psi$'))|
% 3.99/1.68 'fun_app$n'('image$'('tensor_ell2$'('psi$')),'top$a') = 'top$b'),
% 3.99/1.68 inference(instantiation,[status(thm)],[c_1873])).
% 3.99/1.68
% 3.99/1.68 tcf(c_1968,plain,
% 3.99/1.68 ('fun_app$e'('tensor_ell2$'('psi$'),sK19(sK84('tensor_ell2$'('psi$')))) = sK84('tensor_ell2$'('psi$'))),
% 3.99/1.68 inference(instantiation,[status(thm)],[c_101])).
% 3.99/1.68
% 3.99/1.68 tcf(c_1969,plain,
% 3.99/1.68 ($false),
% 3.99/1.68 inference(prop_impl_just,[status(thm)],[c_1968,c_1886,c_100])).
% 3.99/1.68
% 3.99/1.68
% 3.99/1.68 % SZS output end CNFRefutation for theBenchmark.p
% 3.99/1.68
% 3.99/1.68
%------------------------------------------------------------------------------