%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP397_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 01:49:33 PM UTC 2026
% Result : Theorem 46.91s 7.24s
% Output : CNFRefutation 46.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP397_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 18:35:09 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 46.91/7.24 % SZS status Started for theBenchmark.p
% 46.91/7.24 % SZS status Theorem for theBenchmark.p
% 46.91/7.24
% 46.91/7.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 46.91/7.24
% 46.91/7.24 % ------ iProver source info
% 46.91/7.24
% 46.91/7.24 % git: date: 2026-07-19 20:42:38 +0200
% 46.91/7.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 46.91/7.24 % git: non_committed_changes: false
% 46.91/7.24
% 46.91/7.24 % ------ Parsing...
% 46.91/7.24 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 46.91/7.24 %
% 46.91/7.24
% 46.91/7.24 % ------ Preprocessing... sup_sim: 56 pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 pe_s pe_e %
% 46.91/7.24
% 46.91/7.24 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 46.91/7.24 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 46.91/7.24 %
% 46.91/7.24
% 46.91/7.24 % ------ Preprocessing...
% 46.91/7.24 % ------ Proving...
% 46.91/7.24 % ------ Problem Properties
% 46.91/7.24
% 46.91/7.24 %
% 46.91/7.24 % clauses 612
% 46.91/7.24 % conjectures 1
% 46.91/7.24 % EPR 44
% 46.91/7.24 % Horn 543
% 46.91/7.24 % unary 88
% 46.91/7.24 % binary 289
% 46.91/7.24 % lits 1447
% 46.91/7.24 % lits eq 732
% 46.91/7.24 % fd_pure 0
% 46.91/7.24 % fd_pseudo 0
% 46.91/7.24 % fd_cond 5
% 46.91/7.24 % fd_pseudo_cond 54
% 46.91/7.24 % AC symbols 0
% 46.91/7.24
% 46.91/7.24 % ------ Schedule dynamic 5 is on
% 46.91/7.24
% 46.91/7.24 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 46.91/7.24
% 46.91/7.24
% 46.91/7.24 % ------
% 46.91/7.24 % Current options:
% 46.91/7.24 % ------
% 46.91/7.24
% 46.91/7.24
% 46.91/7.24 %
% 46.91/7.24
% 46.91/7.24 % ------ Proving...
% 46.91/7.24 %
% 46.91/7.24
% 46.91/7.24 % SZS status Theorem for theBenchmark.p
% 46.91/7.24
% 46.91/7.24 % SZS output start CNFRefutation for theBenchmark.p
% 46.91/7.24
% 46.91/7.24 tff(func_def_0, type, 'top$i': 'C_ell2_c_ell2_cblinfun_bool_fun$').
% 46.91/7.24 tff(pred_def_1, type, 'register$k': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_2, type, 'register$j': 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_3, type, 'clinear$g': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_4, type, 'fun_app$q': ('A_ell2_a_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun$') > $o).
% 46.91/7.25 tff(pred_def_5, type, 'inj_on$': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_6, type, 'register$n': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_7, type, 'inj_on$d': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_8, type, 'member$a': ('A_ell2_a_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_9, type, 'iso_register$h': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_10, type, 'clinear$b': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_11, type, 'iso_register$d': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_12, type, 'iso_register$': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_13, type, 'inj_on$a': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_14, type, 'inj_on$m': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_15, type, 'inj_on$j': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$') > $o).
% 46.91/7.25 tff(pred_def_16, type, 'member$b': ('B_ell2_b_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_17, type, 'register$q': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_18, type, 'inj_on$e': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_19, type, 'iso_register$f': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_20, type, 'clinear$d': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_21, type, 'iso_register$c': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_22, type, 'member$c': ('Nat$' * 'Nat_set$') > $o).
% 46.91/7.25 tff(pred_def_23, type, 'iso_register$e': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_24, type, 'register$b': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_25, type, 'clinear$a': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_26, type, 'bijection$b': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_27, type, 'register$p': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_28, type, 'register$f': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_29, type, 'inj_on$b': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_30, type, 'iso_register$b': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_31, type, 'register$r': 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_32, type, 'register$h': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_33, type, 'iso_register$a': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_34, type, 'register$c': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_35, type, 'bijection$': 'Nat_nat_fun$' > $o).
% 46.91/7.25 tff(pred_def_36, type, 'inj_on$k': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$') > $o).
% 46.91/7.25 tff(pred_def_37, type, 'register$': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_38, type, 'register$l': 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_39, type, 'clinear$c': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_40, type, 'register$m': 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_41, type, 'inj_on$h': ('Nat_nat_fun_nat_nat_fun_fun$' * 'Nat_nat_fun_set$') > $o).
% 46.91/7.25 tff(pred_def_42, type, 'iso_register$g': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_43, type, 'register$d': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_44, type, 'clinear$': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_45, type, 'bijection$a': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_46, type, 'member$': ('C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_47, type, 'clinear$f': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_48, type, 'inj_on$c': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_49, type, 'inj_on$f': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_50, type, 'register$o': 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_51, type, 'fun_app$r': ('B_ell2_b_ell2_cblinfun_bool_fun$' * 'B_ell2_b_ell2_cblinfun$') > $o).
% 46.91/7.25 tff(pred_def_52, type, 'register$g': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_53, type, 'inj_on$g': ('Nat_nat_fun$' * 'Nat_set$') > $o).
% 46.91/7.25 tff(pred_def_54, type, 'inj_on$i': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$') > $o).
% 46.91/7.25 tff(pred_def_55, type, 'register$i': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_56, type, 'clinear$h': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_57, type, 'register$a': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_58, type, 'inj_on$l': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > $o).
% 46.91/7.25 tff(pred_def_59, type, 'clinear$e': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(pred_def_60, type, 'fun_app$': ('C_ell2_c_ell2_cblinfun_bool_fun$' * 'C_ell2_c_ell2_cblinfun$') > $o).
% 46.91/7.25 tff(pred_def_61, type, 'register$e': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o).
% 46.91/7.25 tff(func_def_62, type, 'top$g': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_set$').
% 46.91/7.25 tff(func_def_63, type, 'id$e': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_64, type, 'fun_app$e': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_65, type, 'comp$r': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_66, type, 'image$c': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_set_fun$').
% 46.91/7.25 tff(func_def_67, type, 'i$': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_68, type, 'top$m': 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_69, type, 'fun_app$i': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_70, type, 'inv_into$k': ('A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_71, type, 'top$l': 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_72, type, 'comp$a': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$').
% 46.91/7.25 tff(func_def_73, type, 'fun_app$s': ('B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_74, type, 'fun_app$c': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_75, type, 'comp$aa': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_76, type, 'comp$w': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_77, type, 'register_tensor$w': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_78, type, 'fun_app$j': ('Nat_nat_fun$' * 'Nat$') > 'Nat$').
% 46.91/7.25 tff(func_def_79, type, 'id$i': 'Nat_nat_fun_nat_nat_fun_fun$').
% 46.91/7.25 tff(func_def_80, type, 'id_cblinfun$': 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_81, type, 'inv_into$l': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$' * 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_82, type, 'register_tensor$': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_83, type, 'top$b': 'C_ell2_c_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_84, type, 'inv_into$j': ('A_a_prod_ell2_a_a_prod_ell2_cblinfun_set$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_85, type, 'g$': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_86, type, 'register_tensor$t': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_87, type, 'image$i': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_88, type, 'collect$b': 'B_ell2_b_ell2_cblinfun_bool_fun$' > 'B_ell2_b_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_89, type, 'comp$o': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_90, type, 'register_tensor$q': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_91, type, 'comp$aj': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_92, type, 'inv_into$i': ('C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_93, type, 'commutant$b': 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_94, type, 'inv_into$q': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$') > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_95, type, 'comp$i': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_96, type, 'image$f': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_97, type, 'fun_app$p': ('B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_98, type, 'comp$v': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_99, type, 'inv_into$o': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_set$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$') > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_100, type, 'fun_app$m': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_101, type, 'register_tensor$z': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_102, type, 'id$b': 'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$').
% 46.91/7.25 tff(func_def_103, type, 'comp$ac': ('B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$' * 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_104, type, 'register_tensor$k': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_105, type, 'inv_into$c': ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_106, type, 'comp$ab': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$' * 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_107, type, 'register_tensor$ab': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_108, type, 'comp$l': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_109, type, 'top$f': 'Nat_nat_fun_set$').
% 46.91/7.25 tff(func_def_110, type, 'comp$m': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_111, type, 'uu$': 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun_bool_fun$').
% 46.91/7.25 tff(func_def_112, type, 'register_tensor$j': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_113, type, 'fun_app$d': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_114, type, 'j$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_115, type, 'register_tensor$o': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_116, type, 'fun_app$g': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_117, type, 'register_tensor$c': ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_118, type, 'register_tensor$y': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_119, type, 'id_cblinfun$a': 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_120, type, 'register_tensor$ad': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_121, type, 'register_tensor$ac': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_122, type, 'id$d': 'Nat_nat_fun$').
% 46.91/7.25 tff(func_def_123, type, 'register_tensor$r': ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_124, type, 'fun_app$u': ('Nat_set_nat_fun$' * 'Nat_set$') > 'Nat$').
% 46.91/7.25 tff(func_def_125, type, 'comp$b': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_fun$').
% 46.91/7.25 tff(func_def_126, type, 'register_tensor$ae': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_127, type, 'image$e': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_128, type, 'top$e': 'Nat_set$').
% 46.91/7.25 tff(func_def_129, type, 'fun_app$v': ('C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_130, type, 'comp$y': ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_131, type, 'top$k': 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_132, type, 'comp$d': ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_133, type, 'comp$x': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_134, type, 'comp$u': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_135, type, 'inv_into$h': ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_136, type, 'fun_app$a': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun_b_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_137, type, 'register_tensor$p': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_138, type, 'comp$t': ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_139, type, 'suc$': 'Nat_nat_fun$').
% 46.91/7.25 tff(func_def_140, type, 'comp$k': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_141, type, 'inv_into$p': ('B_a_prod_ell2_b_a_prod_ell2_cblinfun_set$' * 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$') > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_142, type, 'top$h': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_set$').
% 46.91/7.25 tff(func_def_143, type, 'register_tensor$n': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_144, type, 'register_tensor$g': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_145, type, 'comp$z': ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_146, type, 'comp$ah': ('A_a_prod_ell2_a_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$' * 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$') > 'B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_147, type, 'id$': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_148, type, 'register_tensor$x': ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_b_prod_ell2_a_b_prod_ell2_cblinfun_b_a_prod_ell2_b_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_149, type, 'fun_app$n': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_150, type, 'top$': 'A_ell2_a_ell2_cblinfun_set$').
% 46.91/7.25 tff(func_def_151, type, 'comp$c': 'Nat_nat_fun$' > 'Nat_nat_fun_nat_nat_fun_fun$').
% 46.91/7.25 tff(func_def_152, type, 'register_tensor$aa': ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_a_prod_ell2_b_a_prod_ell2_cblinfun_a_b_prod_ell2_a_b_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_153, type, 'id$h': 'A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_154, type, 'comp$f': ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_155, type, 'inv_into$a': ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_156, type, 'image$d': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_set_fun$').
% 46.91/7.25 tff(func_def_157, type, sK0: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_158, type, sK1: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_159, type, sK2: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_160, type, sK3: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_161, type, sK4: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_162, type, sK5: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_163, type, sK6: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_164, type, sK7: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_165, type, sK8: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_166, type, sK9: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_167, type, sK10: ('A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_168, type, sK11: ('B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_169, type, sK12: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_170, type, sK13: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_171, type, sK14: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_172, type, sK15: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_173, type, sK16: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_174, type, sK17: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_175, type, sK18: ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_176, type, sK19: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_177, type, sK20: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_178, type, sK21: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_179, type, sK22: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_180, type, sK23: ('C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_181, type, sK24: ('C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_182, type, sK25: ('C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_183, type, sK26: ('C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_184, type, sK27: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_185, type, sK28: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_186, type, sK29: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_187, type, sK30: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_188, type, sK31: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_189, type, sK32: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_190, type, sK33: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_191, type, sK34: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_192, type, sK35: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_193, type, sK36: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_194, type, sK37: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_195, type, sK38: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_196, type, sK39: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_197, type, sK40: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_198, type, sK41: 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_199, type, sK42: ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_200, type, sK43: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_201, type, sK44: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_202, type, sK45: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_203, type, sK46: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_204, type, sK47: 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_205, type, sK48: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_206, type, sK49: 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_207, type, sK50: ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_208, type, sK51: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_209, type, sK52: ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_210, type, sK53: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_211, type, sK54: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_212, type, sK55: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_213, type, sK56: ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_214, type, sK57: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_215, type, sK58: ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_216, type, sK59: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_217, type, sK60: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_218, type, sK61: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_219, type, sK62: ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_220, type, sK63: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_221, type, sK64: ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_222, type, sK65: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_223, type, sK66: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_224, type, sK67: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_225, type, sK68: ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_226, type, sK69: ('Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 46.91/7.25 tff(func_def_227, type, sK70: ('Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 46.91/7.25 tff(func_def_228, type, sK71: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_229, type, sK72: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_230, type, sK73: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_231, type, sK74: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_232, type, sK75: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_233, type, sK76: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_234, type, sK77: ('Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 46.91/7.25 tff(func_def_235, type, sK78: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_236, type, sK79: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_237, type, sK80: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_238, type, sK81: ('Nat_nat_fun$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 46.91/7.25 tff(func_def_239, type, sK82: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_240, type, sK83: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_241, type, sK84: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_242, type, sK85: 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_243, type, sK86: 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_244, type, sK87: 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_245, type, sK88: 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_246, type, sK89: 'A_ell2_a_ell2_cblinfun_set$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_247, type, sK90: 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_248, type, sK91: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_bool_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_249, type, sK92: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_bool_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_250, type, sK93: ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_251, type, sK94: ('C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_252, type, sK95: ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_253, type, sK96: ('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_254, type, sK97: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_255, type, sK98: 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_256, type, sK99: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_257, type, sK100: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_258, type, sK101: 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_259, type, sK102: 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_260, type, sK103: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_261, type, sK104: ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_262, type, sK105: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_263, type, sK106: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_264, type, sK107: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_265, type, sK108: ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_266, type, sK109: ('A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_267, type, sK110: ('B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_268, type, sK111: ('Nat_nat_fun$' * 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 46.91/7.25 tff(func_def_269, type, sK112: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_270, type, sK113: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_271, type, sK114: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_272, type, sK115: 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_273, type, sK116: 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_274, type, sK117: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_275, type, sK118: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_276, type, sK119: ('A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_277, type, sK120: ('B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_278, type, sK121: 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_279, type, sK122: 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_280, type, sK123: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_281, type, sK124: 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_282, type, sK125: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_283, type, sK126: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_284, type, sK127: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_285, type, sK128: 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_286, type, sK129: 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_287, type, sK130: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_288, type, sK131: 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_289, type, sK132: 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_290, type, sK133: 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_291, type, sK134: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_292, type, sK135: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_293, type, sK136: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_294, type, sK137: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_295, type, sK138: 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_296, type, sK139: 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_297, type, sK140: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_298, type, sK141: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_299, type, sK142: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$').
% 46.91/7.25 tff(func_def_300, type, sK143: ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_301, type, sK144: ('B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_302, type, sK145: ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_303, type, sK146: ('A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_304, type, sK147: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_305, type, sK148: ('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_306, type, sK149: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_307, type, sK150: ('B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_308, type, sK151: ('Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 46.91/7.25 tff(func_def_309, type, sK152: ('Nat_nat_fun$' * 'Nat_nat_fun$') > 'Nat$').
% 46.91/7.25 tff(func_def_310, type, sK153: ('C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun$') > 'C_ell2_c_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_311, type, sK154: ('A_ell2_a_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun$') > 'A_ell2_a_ell2_cblinfun$').
% 46.91/7.25 tff(func_def_312, type, sK155: ('B_ell2_b_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun$') > 'B_ell2_b_ell2_cblinfun$').
% 46.91/7.25 tff(f2,conjecture,(
% 46.91/7.25 'fun_app$a'('comp$'('f$'),'i$') = 'g$'),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture1)).
% 46.91/7.25
% 46.91/7.25 tff(f3,negated_conjecture,(
% 46.91/7.25 ~ 'fun_app$a'('comp$'('f$'),'i$') = 'g$'),
% 46.91/7.25 inference(negated_conjecture,[status(cth)],[f2])).
% 46.91/7.25
% 46.91/7.25 tff(f5,axiom,(
% 46.91/7.25 'register$a'('f$')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3)).
% 46.91/7.25
% 46.91/7.25 tff(f6,axiom,(
% 46.91/7.25 'iso_register$'('i$')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4)).
% 46.91/7.25
% 46.91/7.25 tff(f7,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$b'('fun_app$a'('comp$'(X0),X1),X2) = 'fun_app$c'(X0,'fun_app$d'(X1,X2))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5)).
% 46.91/7.25
% 46.91/7.25 tff(f12,axiom,(
% 46.91/7.25 'register$b'('i$')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom10)).
% 46.91/7.25
% 46.91/7.25 tff(f15,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$d'('i$',X0) = 'fun_app$l'('inv_into$'('top$','f$'),'fun_app$b'('g$',X0))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom13)).
% 46.91/7.25
% 46.91/7.25 tff(f23,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : 'comp$o'(X0,'fun_app$i'('comp$b'(X1),X2)) = 'comp$m'('fun_app$f'('comp$a'(X0),X1),X2)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom21)).
% 46.91/7.25
% 46.91/7.25 tff(f33,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : 'comp$m'('fun_app$f'('comp$a'(X0),X1),X2) = 'comp$o'(X0,'fun_app$i'('comp$b'(X1),X2))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom31)).
% 46.91/7.25
% 46.91/7.25 tff(f48,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$a'('comp$'(X0),X1) = X2 => 'fun_app$c'(X0,'fun_app$d'(X1,X3)) = 'fun_app$b'(X2,X3))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom46)).
% 46.91/7.25
% 46.91/7.25 tff(f49,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$f'('comp$a'(X0),X1) = X2 => 'fun_app$g'(X0,'fun_app$d'(X1,X3)) = 'fun_app$e'(X2,X3))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom47)).
% 46.91/7.25
% 46.91/7.25 tff(f50,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun$'] : ('fun_app$i'('comp$b'(X0),X1) = X2 => 'fun_app$d'(X0,'fun_app$g'(X1,X3)) = 'fun_app$h'(X2,X3))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom48)).
% 46.91/7.25
% 46.91/7.25 tff(f52,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun$'] : 'member$'('fun_app$b'('g$',X0),'image$'('f$','top$'))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom50)).
% 46.91/7.25
% 46.91/7.25 tff(f71,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun$'] : ('member$a'(X0,'top$') <=> $true)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom69)).
% 46.91/7.25
% 46.91/7.25 tff(f86,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : (('register$b'(X0) & 'register$a'(X1)) => 'register$'('fun_app$a'('comp$'(X1),X0)))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom84)).
% 46.91/7.25
% 46.91/7.25 tff(f113,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_set$',X1 : 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : (! [X3 : 'B_ell2_b_ell2_cblinfun$'] : ('member$b'(X3,X0) => 'fun_app$n'(X1,'fun_app$b'(X2,X3)) = X3) => 'inj_on$a'(X2,X0))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom111)).
% 46.91/7.25
% 46.91/7.25 tff(f130,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun$',X1 : 'A_ell2_a_ell2_cblinfun_set$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('member$a'(X0,X1) => 'member$'('fun_app$c'(X2,X0),'image$'(X2,X1)))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom128)).
% 46.91/7.25
% 46.91/7.25 tff(f141,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'C_ell2_c_ell2_cblinfun$'] : ('inj_on$a'(X0,'top$a') => ('member$'(X1,'image$a'(X0,'top$a')) <=> ? [X2 : 'B_ell2_b_ell2_cblinfun$'] : (X1 = 'fun_app$b'(X0,X2) & ! [X3 : 'B_ell2_b_ell2_cblinfun$'] : (X1 = 'fun_app$b'(X0,X3) => X3 = X2))))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom139)).
% 46.91/7.25
% 46.91/7.25 tff(f174,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun$'] : 'member$'('fun_app$b'(X0,X1),'image$a'(X0,'top$a'))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom172)).
% 46.91/7.25
% 46.91/7.25 tff(f187,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_set$'] : ('inj_on$c'('fun_app$f'('comp$a'(X0),X1),X2) => 'inj_on$e'(X1,X2))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom185)).
% 46.91/7.25
% 46.91/7.25 tff(f188,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_set$'] : ('inj_on$b'('fun_app$i'('comp$b'(X0),X1),X2) => 'inj_on$f'(X1,X2))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom186)).
% 46.91/7.25
% 46.91/7.25 tff(f223,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_set$'] : 'image$'(X0,'image$e'(X1,X2)) = 'image$a'('fun_app$a'('comp$'(X0),X1),X2)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom221)).
% 46.91/7.25
% 46.91/7.25 tff(f278,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('register$'(X0) => 'inj_on$a'(X0,'top$a'))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom276)).
% 46.91/7.25
% 46.91/7.25 tff(f287,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$f'(X0,'top$') => 'comp$k'('fun_app$a'('comp$'(X1),'inv_into$b'('top$',X0)),X0) = X1)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom285)).
% 46.91/7.25
% 46.91/7.25 tff(f288,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('inj_on$f'(X0,'top$') => 'comp$m'('fun_app$f'('comp$a'(X1),'inv_into$b'('top$',X0)),X0) = X1)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom286)).
% 46.91/7.25
% 46.91/7.25 tff(f290,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('inj_on$e'(X0,'top$a') => 'comp$i'('fun_app$i'('comp$b'(X1),'inv_into$c'('top$a',X0)),X0) = X1)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom288)).
% 46.91/7.25
% 46.91/7.25 tff(f291,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$e'(X0,'top$a') => 'fun_app$a'('comp$'('comp$k'(X1,'inv_into$c'('top$a',X0))),X0) = X1)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom289)).
% 46.91/7.25
% 46.91/7.25 tff(f340,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$g'('j$',X0) = 'fun_app$n'('inv_into$a'('top$a','g$'),'fun_app$c'('f$',X0))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom338)).
% 46.91/7.25
% 46.91/7.25 tff(f343,axiom,(
% 46.91/7.25 ! [X0 : 'C_ell2_c_ell2_cblinfun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_set$'] : ('member$'(X0,'image$'(X1,X2)) => 'fun_app$c'(X1,'fun_app$l'('inv_into$'(X2,X1),X0)) = X0)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom341)).
% 46.91/7.25
% 46.91/7.25 tff(f387,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_set$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : (('image$e'(X0,X1) = 'top$' & ! [X4 : 'B_ell2_b_ell2_cblinfun$'] : ('member$b'(X4,X1) => 'fun_app$b'('fun_app$a'('comp$'(X2),X0),X4) = 'fun_app$b'('fun_app$a'('comp$'(X3),X0),X4))) => X2 = X3)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom385)).
% 46.91/7.25
% 46.91/7.25 tff(f390,axiom,(
% 46.91/7.25 'fun_app$f'('comp$a'('j$'),'i$') = 'id$'),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom388)).
% 46.91/7.25
% 46.91/7.25 tff(f391,axiom,(
% 46.91/7.25 'fun_app$i'('comp$b'('i$'),'j$') = 'id$a'),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom389)).
% 46.91/7.25
% 46.91/7.25 tff(f449,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : (! [X1 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$e'(X0,X1) = X1 <=> X0 = 'id$')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom447)).
% 46.91/7.25
% 46.91/7.25 tff(f450,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : (! [X1 : 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$h'(X0,X1) = X1 <=> X0 = 'id$a')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom448)).
% 46.91/7.25
% 46.91/7.25 tff(f456,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_set$'] : 'inj_on$c'('id$',X0)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom454)).
% 46.91/7.25
% 46.91/7.25 tff(f457,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_set$'] : 'inj_on$b'('id$a',X0)),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom455)).
% 46.91/7.25
% 46.91/7.25 tff(f519,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('image$e'(X0,'top$a') = 'top$' <=> 'fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0)) = 'id$a')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom517)).
% 46.91/7.25
% 46.91/7.25 tff(f530,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('inj_on$f'(X0,'top$') <=> 'fun_app$i'('comp$b'('inv_into$b'('top$',X0)),X0) = 'id$a')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom528)).
% 46.91/7.25
% 46.91/7.25 tff(f532,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('inj_on$e'(X0,'top$a') <=> 'fun_app$f'('comp$a'('inv_into$c'('top$a',X0)),X0) = 'id$')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom530)).
% 46.91/7.25
% 46.91/7.25 tff(f533,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$a'(X0,'top$a') <=> 'comp$f'('inv_into$a'('top$a',X0),X0) = 'id$')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom531)).
% 46.91/7.25
% 46.91/7.25 tff(f545,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('iso_register$'(X0) => 'fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0)) = 'id$a')),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom543)).
% 46.91/7.25
% 46.91/7.25 tff(f609,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('comp$h'(X0,X1) = X2 => 'comp$j'('fun_app$a'('comp$'(X3),X0),X1) = 'fun_app$a'('comp$'(X3),X2))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom607)).
% 46.91/7.25
% 46.91/7.25 tff(f617,axiom,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('fun_app$f'('comp$a'(X0),X1) = X2 => 'comp$i'('fun_app$i'('comp$b'(X3),X0),X1) = 'comp$h'(X3,X2))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom615)).
% 46.91/7.25
% 46.91/7.25 tff(f621,axiom,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$k'(X0,X1) = X2 => 'comp$j'(X0,'fun_app$f'('comp$a'(X1),X3)) = 'fun_app$a'('comp$'(X2),X3))),
% 46.91/7.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom619)).
% 46.91/7.25
% 46.91/7.25 tff(f642,plain,(
% 46.91/7.25 'fun_app$a'('comp$'('f$'),'i$') != 'g$'),
% 46.91/7.25 inference(flattening,[],[f3])).
% 46.91/7.25
% 46.91/7.25 tff(f648,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun$'] : 'member$a'(X0,'top$')),
% 46.91/7.25 inference(true_and_false_elimination,[],[f71])).
% 46.91/7.25
% 46.91/7.25 tff(f730,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$c'(X0,'fun_app$d'(X1,X3)) = 'fun_app$b'(X2,X3) | 'fun_app$a'('comp$'(X0),X1) != X2)),
% 46.91/7.25 inference(ennf_transformation,[],[f48])).
% 46.91/7.25
% 46.91/7.25 tff(f731,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$g'(X0,'fun_app$d'(X1,X3)) = 'fun_app$e'(X2,X3) | 'fun_app$f'('comp$a'(X0),X1) != X2)),
% 46.91/7.25 inference(ennf_transformation,[],[f49])).
% 46.91/7.25
% 46.91/7.25 tff(f732,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun$'] : ('fun_app$d'(X0,'fun_app$g'(X1,X3)) = 'fun_app$h'(X2,X3) | 'fun_app$i'('comp$b'(X0),X1) != X2)),
% 46.91/7.25 inference(ennf_transformation,[],[f50])).
% 46.91/7.25
% 46.91/7.25 tff(f770,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('register$'('fun_app$a'('comp$'(X1),X0)) | (~'register$b'(X0) | ~'register$a'(X1)))),
% 46.91/7.25 inference(ennf_transformation,[],[f86])).
% 46.91/7.25
% 46.91/7.25 tff(f771,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('register$'('fun_app$a'('comp$'(X1),X0)) | ~'register$b'(X0) | ~'register$a'(X1))),
% 46.91/7.25 inference(flattening,[],[f770])).
% 46.91/7.25
% 46.91/7.25 tff(f813,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_set$',X1 : 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$a'(X2,X0) | ? [X3 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$n'(X1,'fun_app$b'(X2,X3)) != X3 & 'member$b'(X3,X0)))),
% 46.91/7.25 inference(ennf_transformation,[],[f113])).
% 46.91/7.25
% 46.91/7.25 tff(f834,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun$',X1 : 'A_ell2_a_ell2_cblinfun_set$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('member$'('fun_app$c'(X2,X0),'image$'(X2,X1)) | ~'member$a'(X0,X1))),
% 46.91/7.25 inference(ennf_transformation,[],[f130])).
% 46.91/7.25
% 46.91/7.25 tff(f843,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'C_ell2_c_ell2_cblinfun$'] : (('member$'(X1,'image$a'(X0,'top$a')) <=> ? [X2 : 'B_ell2_b_ell2_cblinfun$'] : (X1 = 'fun_app$b'(X0,X2) & ! [X3 : 'B_ell2_b_ell2_cblinfun$'] : (X3 = X2 | 'fun_app$b'(X0,X3) != X1))) | ~'inj_on$a'(X0,'top$a'))),
% 46.91/7.25 inference(ennf_transformation,[],[f141])).
% 46.91/7.25
% 46.91/7.25 tff(f892,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_set$'] : ('inj_on$e'(X1,X2) | ~'inj_on$c'('fun_app$f'('comp$a'(X0),X1),X2))),
% 46.91/7.25 inference(ennf_transformation,[],[f187])).
% 46.91/7.25
% 46.91/7.25 tff(f893,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_set$'] : ('inj_on$f'(X1,X2) | ~'inj_on$b'('fun_app$i'('comp$b'(X0),X1),X2))),
% 46.91/7.25 inference(ennf_transformation,[],[f188])).
% 46.91/7.25
% 46.91/7.25 tff(f986,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$a'(X0,'top$a') | ~'register$'(X0))),
% 46.91/7.25 inference(ennf_transformation,[],[f278])).
% 46.91/7.25
% 46.91/7.25 tff(f992,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('comp$k'('fun_app$a'('comp$'(X1),'inv_into$b'('top$',X0)),X0) = X1 | ~'inj_on$f'(X0,'top$'))),
% 46.91/7.25 inference(ennf_transformation,[],[f287])).
% 46.91/7.25
% 46.91/7.25 tff(f993,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('comp$m'('fun_app$f'('comp$a'(X1),'inv_into$b'('top$',X0)),X0) = X1 | ~'inj_on$f'(X0,'top$'))),
% 46.91/7.25 inference(ennf_transformation,[],[f288])).
% 46.91/7.25
% 46.91/7.25 tff(f995,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$i'('fun_app$i'('comp$b'(X1),'inv_into$c'('top$a',X0)),X0) = X1 | ~'inj_on$e'(X0,'top$a'))),
% 46.91/7.25 inference(ennf_transformation,[],[f290])).
% 46.91/7.25
% 46.91/7.25 tff(f996,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('fun_app$a'('comp$'('comp$k'(X1,'inv_into$c'('top$a',X0))),X0) = X1 | ~'inj_on$e'(X0,'top$a'))),
% 46.91/7.25 inference(ennf_transformation,[],[f291])).
% 46.91/7.25
% 46.91/7.25 tff(f1070,plain,(
% 46.91/7.25 ! [X0 : 'C_ell2_c_ell2_cblinfun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_set$'] : ('fun_app$c'(X1,'fun_app$l'('inv_into$'(X2,X1),X0)) = X0 | ~'member$'(X0,'image$'(X1,X2)))),
% 46.91/7.25 inference(ennf_transformation,[],[f343])).
% 46.91/7.25
% 46.91/7.25 tff(f1125,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_set$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : (X2 = X3 | ('top$' != 'image$e'(X0,X1) | ? [X4 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$b'('fun_app$a'('comp$'(X2),X0),X4) != 'fun_app$b'('fun_app$a'('comp$'(X3),X0),X4) & 'member$b'(X4,X1))))),
% 46.91/7.25 inference(ennf_transformation,[],[f387])).
% 46.91/7.25
% 46.91/7.25 tff(f1126,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_set$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : (X2 = X3 | 'top$' != 'image$e'(X0,X1) | ? [X4 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$b'('fun_app$a'('comp$'(X2),X0),X4) != 'fun_app$b'('fun_app$a'('comp$'(X3),X0),X4) & 'member$b'(X4,X1)))),
% 46.91/7.25 inference(flattening,[],[f1125])).
% 46.91/7.25
% 46.91/7.25 tff(f1254,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0)) = 'id$a' | ~'iso_register$'(X0))),
% 46.91/7.25 inference(ennf_transformation,[],[f545])).
% 46.91/7.25
% 46.91/7.25 tff(f1313,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('comp$j'('fun_app$a'('comp$'(X3),X0),X1) = 'fun_app$a'('comp$'(X3),X2) | 'comp$h'(X0,X1) != X2)),
% 46.91/7.25 inference(ennf_transformation,[],[f609])).
% 46.91/7.25
% 46.91/7.25 tff(f1321,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$i'('fun_app$i'('comp$b'(X3),X0),X1) = 'comp$h'(X3,X2) | 'fun_app$f'('comp$a'(X0),X1) != X2)),
% 46.91/7.25 inference(ennf_transformation,[],[f617])).
% 46.91/7.25
% 46.91/7.25 tff(f1325,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$j'(X0,'fun_app$f'('comp$a'(X1),X3)) = 'fun_app$a'('comp$'(X2),X3) | 'comp$k'(X0,X1) != X2)),
% 46.91/7.25 inference(ennf_transformation,[],[f621])).
% 46.91/7.25
% 46.91/7.25 tff(f1355,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_set$',X1 : 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X2 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$a'(X2,X0) | (sK11(X0,X1,X2) != 'fun_app$n'(X1,'fun_app$b'(X2,sK11(X0,X1,X2))) & 'member$b'(sK11(X0,X1,X2),X0)))),
% 46.91/7.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f813])).
% 46.91/7.25
% 46.91/7.25 tff(f1394,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'C_ell2_c_ell2_cblinfun$'] : ((('member$'(X1,'image$a'(X0,'top$a')) | ! [X2 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$b'(X0,X2) != X1 | ? [X3 : 'B_ell2_b_ell2_cblinfun$'] : (X2 != X3 & 'fun_app$b'(X0,X3) = X1))) & (? [X2 : 'B_ell2_b_ell2_cblinfun$'] : (X1 = 'fun_app$b'(X0,X2) & ! [X3 : 'B_ell2_b_ell2_cblinfun$'] : (X3 = X2 | 'fun_app$b'(X0,X3) != X1)) | ~'member$'(X1,'image$a'(X0,'top$a')))) | ~'inj_on$a'(X0,'top$a'))),
% 46.91/7.25 inference(nnf_transformation,[],[f843])).
% 46.91/7.25
% 46.91/7.25 tff(f1395,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'C_ell2_c_ell2_cblinfun$'] : ((('member$'(X1,'image$a'(X0,'top$a')) | ! [X2 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$b'(X0,X2) != X1 | ? [X3 : 'B_ell2_b_ell2_cblinfun$'] : (X2 != X3 & 'fun_app$b'(X0,X3) = X1))) & (? [X4 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$b'(X0,X4) = X1 & ! [X5 : 'B_ell2_b_ell2_cblinfun$'] : (X4 = X5 | 'fun_app$b'(X0,X5) != X1)) | ~'member$'(X1,'image$a'(X0,'top$a')))) | ~'inj_on$a'(X0,'top$a'))),
% 46.91/7.25 inference(rectify,[],[f1394])).
% 46.91/7.25
% 46.91/7.25 tff(f1396,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'C_ell2_c_ell2_cblinfun$'] : ((('member$'(X1,'image$a'(X0,'top$a')) | ! [X2 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$b'(X0,X2) != X1 | (sK29(X0,X1,X2) != X2 & 'fun_app$b'(X0,sK29(X0,X1,X2)) = X1))) & (('fun_app$b'(X0,sK30(X0,X1)) = X1 & ! [X5 : 'B_ell2_b_ell2_cblinfun$'] : (sK30(X0,X1) = X5 | 'fun_app$b'(X0,X5) != X1)) | ~'member$'(X1,'image$a'(X0,'top$a')))) | ~'inj_on$a'(X0,'top$a'))),
% 46.91/7.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X3,sK29(X0,X1,X2)),skolemize(X4,sK30(X0,X1))],[f1395])).
% 46.91/7.25
% 46.91/7.25 tff(f1501,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_set$',X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : (X2 = X3 | 'top$' != 'image$e'(X0,X1) | ('fun_app$b'('fun_app$a'('comp$'(X2),X0),sK112(X0,X1,X2,X3)) != 'fun_app$b'('fun_app$a'('comp$'(X3),X0),sK112(X0,X1,X2,X3)) & 'member$b'(sK112(X0,X1,X2,X3),X1)))),
% 46.91/7.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK112]),skolemize(X4,sK112(X0,X1,X2,X3))],[f1126])).
% 46.91/7.25
% 46.91/7.25 tff(f1507,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ((! [X1 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$e'(X0,X1) = X1 | 'id$' != X0) & (X0 = 'id$' | ? [X1 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$e'(X0,X1) != X1))),
% 46.91/7.25 inference(nnf_transformation,[],[f449])).
% 46.91/7.25
% 46.91/7.25 tff(f1508,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ((! [X1 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$e'(X0,X1) = X1 | 'id$' != X0) & (X0 = 'id$' | ? [X2 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$e'(X0,X2) != X2))),
% 46.91/7.25 inference(rectify,[],[f1507])).
% 46.91/7.25
% 46.91/7.25 tff(f1509,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ((! [X1 : 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$e'(X0,X1) = X1 | 'id$' != X0) & (X0 = 'id$' | sK115(X0) != 'fun_app$e'(X0,sK115(X0))))),
% 46.91/7.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(X2,sK115(X0))],[f1508])).
% 46.91/7.25
% 46.91/7.25 tff(f1510,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ((! [X1 : 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$h'(X0,X1) = X1 | 'id$a' != X0) & (X0 = 'id$a' | ? [X1 : 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$h'(X0,X1) != X1))),
% 46.91/7.25 inference(nnf_transformation,[],[f450])).
% 46.91/7.25
% 46.91/7.25 tff(f1511,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ((! [X1 : 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$h'(X0,X1) = X1 | 'id$a' != X0) & (X0 = 'id$a' | ? [X2 : 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$h'(X0,X2) != X2))),
% 46.91/7.25 inference(rectify,[],[f1510])).
% 46.91/7.25
% 46.91/7.25 tff(f1512,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ((! [X1 : 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$h'(X0,X1) = X1 | 'id$a' != X0) & (X0 = 'id$a' | sK116(X0) != 'fun_app$h'(X0,sK116(X0))))),
% 46.91/7.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(X2,sK116(X0))],[f1511])).
% 46.91/7.25
% 46.91/7.25 tff(f1548,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : (('image$e'(X0,'top$a') = 'top$' | 'id$a' != 'fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0))) & ('fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0)) = 'id$a' | 'top$' != 'image$e'(X0,'top$a')))),
% 46.91/7.25 inference(nnf_transformation,[],[f519])).
% 46.91/7.25
% 46.91/7.25 tff(f1559,plain,(
% 46.91/7.25 ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : (('inj_on$f'(X0,'top$') | 'id$a' != 'fun_app$i'('comp$b'('inv_into$b'('top$',X0)),X0)) & ('fun_app$i'('comp$b'('inv_into$b'('top$',X0)),X0) = 'id$a' | ~'inj_on$f'(X0,'top$')))),
% 46.91/7.25 inference(nnf_transformation,[],[f530])).
% 46.91/7.25
% 46.91/7.25 tff(f1561,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : (('inj_on$e'(X0,'top$a') | 'id$' != 'fun_app$f'('comp$a'('inv_into$c'('top$a',X0)),X0)) & ('fun_app$f'('comp$a'('inv_into$c'('top$a',X0)),X0) = 'id$' | ~'inj_on$e'(X0,'top$a')))),
% 46.91/7.25 inference(nnf_transformation,[],[f532])).
% 46.91/7.25
% 46.91/7.25 tff(f1562,plain,(
% 46.91/7.25 ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : (('inj_on$a'(X0,'top$a') | 'id$' != 'comp$f'('inv_into$a'('top$a',X0),X0)) & ('comp$f'('inv_into$a'('top$a',X0),X0) = 'id$' | ~'inj_on$a'(X0,'top$a')))),
% 46.91/7.25 inference(nnf_transformation,[],[f533])).
% 46.91/7.25
% 46.91/7.25 tff(f1600,plain,(
% 46.91/7.25 'fun_app$a'('comp$'('f$'),'i$') != 'g$'),
% 46.91/7.25 inference(cnf_transformation,[],[f642])).
% 46.91/7.25
% 46.91/7.25 tff(f1602,plain,(
% 46.91/7.25 'register$a'('f$')),
% 46.91/7.25 inference(cnf_transformation,[],[f5])).
% 46.91/7.25
% 46.91/7.25 tff(f1603,plain,(
% 46.91/7.25 'iso_register$'('i$')),
% 46.91/7.25 inference(cnf_transformation,[],[f6])).
% 46.91/7.25
% 46.91/7.25 tff(f1604,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun$',X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('fun_app$b'('fun_app$a'('comp$'(X0),X1),X2) = 'fun_app$c'(X0,'fun_app$d'(X1,X2))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f7])).
% 46.91/7.25
% 46.91/7.25 tff(f1609,plain,(
% 46.91/7.25 'register$b'('i$')),
% 46.91/7.25 inference(cnf_transformation,[],[f12])).
% 46.91/7.25
% 46.91/7.25 tff(f1612,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$d'('i$',X0) = 'fun_app$l'('inv_into$'('top$','f$'),'fun_app$b'('g$',X0))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f15])).
% 46.91/7.25
% 46.91/7.25 tff(f1620,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$o'(X0,'fun_app$i'('comp$b'(X1),X2)) = 'comp$m'('fun_app$f'('comp$a'(X0),X1),X2)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f23])).
% 46.91/7.25
% 46.91/7.25 tff(f1630,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$o'(X0,'fun_app$i'('comp$b'(X1),X2)) = 'comp$m'('fun_app$f'('comp$a'(X0),X1),X2)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f33])).
% 46.91/7.25
% 46.91/7.25 tff(f1645,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun$',X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('fun_app$c'(X0,'fun_app$d'(X1,X3)) = 'fun_app$b'(X2,X3) | 'fun_app$a'('comp$'(X0),X1) != X2) )),
% 46.91/7.25 inference(cnf_transformation,[],[f730])).
% 46.91/7.25
% 46.91/7.25 tff(f1646,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun$',X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('fun_app$g'(X0,'fun_app$d'(X1,X3)) = 'fun_app$e'(X2,X3) | 'fun_app$f'('comp$a'(X0),X1) != X2) )),
% 46.91/7.25 inference(cnf_transformation,[],[f731])).
% 46.91/7.25
% 46.91/7.25 tff(f1647,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun$',X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('fun_app$d'(X0,'fun_app$g'(X1,X3)) = 'fun_app$h'(X2,X3) | 'fun_app$i'('comp$b'(X0),X1) != X2) )),
% 46.91/7.25 inference(cnf_transformation,[],[f732])).
% 46.91/7.25
% 46.91/7.25 tff(f1649,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun$'] : ('member$'('fun_app$b'('g$',X0),'image$'('f$','top$'))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f52])).
% 46.91/7.25
% 46.91/7.25 tff(f1668,plain,(
% 46.91/7.25 ( ! [X0 : 'A_ell2_a_ell2_cblinfun$'] : ('member$a'(X0,'top$')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f648])).
% 46.91/7.25
% 46.91/7.25 tff(f1681,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('register$'('fun_app$a'('comp$'(X1),X0)) | ~'register$b'(X0) | ~'register$a'(X1)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f771])).
% 46.91/7.25
% 46.91/7.25 tff(f1730,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0 : 'B_ell2_b_ell2_cblinfun_set$',X1 : 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('inj_on$a'(X2,X0) | sK11(X0,X1,X2) != 'fun_app$n'(X1,'fun_app$b'(X2,sK11(X0,X1,X2)))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1355])).
% 46.91/7.25
% 46.91/7.25 tff(f1775,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0 : 'A_ell2_a_ell2_cblinfun$',X1 : 'A_ell2_a_ell2_cblinfun_set$'] : ('member$'('fun_app$c'(X2,X0),'image$'(X2,X1)) | ~'member$a'(X0,X1)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f834])).
% 46.91/7.25
% 46.91/7.25 tff(f1795,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'C_ell2_c_ell2_cblinfun$',X5 : 'B_ell2_b_ell2_cblinfun$'] : (sK30(X0,X1) = X5 | 'fun_app$b'(X0,X5) != X1 | ~'member$'(X1,'image$a'(X0,'top$a')) | ~'inj_on$a'(X0,'top$a')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1396])).
% 46.91/7.25
% 46.91/7.25 tff(f1796,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'C_ell2_c_ell2_cblinfun$'] : ('fun_app$b'(X0,sK30(X0,X1)) = X1 | ~'member$'(X1,'image$a'(X0,'top$a')) | ~'inj_on$a'(X0,'top$a')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1396])).
% 46.91/7.25
% 46.91/7.25 tff(f1840,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun$'] : ('member$'('fun_app$b'(X0,X1),'image$a'(X0,'top$a'))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f174])).
% 46.91/7.25
% 46.91/7.25 tff(f1857,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun_set$',X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('inj_on$e'(X1,X2) | ~'inj_on$c'('fun_app$f'('comp$a'(X0),X1),X2)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f892])).
% 46.91/7.25
% 46.91/7.25 tff(f1858,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_set$',X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('inj_on$f'(X1,X2) | ~'inj_on$b'('fun_app$i'('comp$b'(X0),X1),X2)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f893])).
% 46.91/7.25
% 46.91/7.25 tff(f1899,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun_set$',X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('image$'(X0,'image$e'(X1,X2)) = 'image$a'('fun_app$a'('comp$'(X0),X1),X2)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f223])).
% 46.91/7.25
% 46.91/7.25 tff(f1974,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$a'(X0,'top$a') | ~'register$'(X0)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f986])).
% 46.91/7.25
% 46.91/7.25 tff(f1983,plain,(
% 46.91/7.25 ( ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('comp$k'('fun_app$a'('comp$'(X1),'inv_into$b'('top$',X0)),X0) = X1 | ~'inj_on$f'(X0,'top$')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f992])).
% 46.91/7.25
% 46.91/7.25 tff(f1984,plain,(
% 46.91/7.25 ( ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('comp$m'('fun_app$f'('comp$a'(X1),'inv_into$b'('top$',X0)),X0) = X1 | ~'inj_on$f'(X0,'top$')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f993])).
% 46.91/7.25
% 46.91/7.25 tff(f1986,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$i'('fun_app$i'('comp$b'(X1),'inv_into$c'('top$a',X0)),X0) = X1 | ~'inj_on$e'(X0,'top$a')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f995])).
% 46.91/7.25
% 46.91/7.25 tff(f1987,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('fun_app$a'('comp$'('comp$k'(X1,'inv_into$c'('top$a',X0))),X0) = X1 | ~'inj_on$e'(X0,'top$a')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f996])).
% 46.91/7.25
% 46.91/7.25 tff(f2038,plain,(
% 46.91/7.25 ( ! [X0 : 'A_ell2_a_ell2_cblinfun$'] : ('fun_app$g'('j$',X0) = 'fun_app$n'('inv_into$a'('top$a','g$'),'fun_app$c'('f$',X0))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f340])).
% 46.91/7.25
% 46.91/7.25 tff(f2041,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_set$',X0 : 'C_ell2_c_ell2_cblinfun$',X1 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('fun_app$c'(X1,'fun_app$l'('inv_into$'(X2,X1),X0)) = X0 | ~'member$'(X0,'image$'(X1,X2))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1070])).
% 46.91/7.25
% 46.91/7.25 tff(f2093,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_set$'] : (X2 = X3 | 'top$' != 'image$e'(X0,X1) | 'fun_app$b'('fun_app$a'('comp$'(X2),X0),sK112(X0,X1,X2,X3)) != 'fun_app$b'('fun_app$a'('comp$'(X3),X0),sK112(X0,X1,X2,X3))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1501])).
% 46.91/7.25
% 46.91/7.25 tff(f2098,plain,(
% 46.91/7.25 'fun_app$f'('comp$a'('j$'),'i$') = 'id$'),
% 46.91/7.25 inference(cnf_transformation,[],[f390])).
% 46.91/7.25
% 46.91/7.25 tff(f2099,plain,(
% 46.91/7.25 'fun_app$i'('comp$b'('i$'),'j$') = 'id$a'),
% 46.91/7.25 inference(cnf_transformation,[],[f391])).
% 46.91/7.25
% 46.91/7.25 tff(f2161,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$e'(X0,X1) = X1 | 'id$' != X0) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1509])).
% 46.91/7.25
% 46.91/7.25 tff(f2163,plain,(
% 46.91/7.25 ( ! [X0 : 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun$'] : ('fun_app$h'(X0,X1) = X1 | 'id$a' != X0) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1512])).
% 46.91/7.25
% 46.91/7.25 tff(f2169,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_set$'] : ('inj_on$c'('id$',X0)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f456])).
% 46.91/7.25
% 46.91/7.25 tff(f2170,plain,(
% 46.91/7.25 ( ! [X0 : 'A_ell2_a_ell2_cblinfun_set$'] : ('inj_on$b'('id$a',X0)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f457])).
% 46.91/7.25
% 46.91/7.25 tff(f2260,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('id$a' = 'fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0)) | 'top$' != 'image$e'(X0,'top$a')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1548])).
% 46.91/7.25
% 46.91/7.25 tff(f2261,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('top$' = 'image$e'(X0,'top$a') | 'id$a' != 'fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0))) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1548])).
% 46.91/7.25
% 46.91/7.25 tff(f2282,plain,(
% 46.91/7.25 ( ! [X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('id$a' = 'fun_app$i'('comp$b'('inv_into$b'('top$',X0)),X0) | ~'inj_on$f'(X0,'top$')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1559])).
% 46.91/7.25
% 46.91/7.25 tff(f2286,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('id$' = 'fun_app$f'('comp$a'('inv_into$c'('top$a',X0)),X0) | ~'inj_on$e'(X0,'top$a')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1561])).
% 46.91/7.25
% 46.91/7.25 tff(f2288,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('id$' = 'comp$f'('inv_into$a'('top$a',X0),X0) | ~'inj_on$a'(X0,'top$a')) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1562])).
% 46.91/7.25
% 46.91/7.25 tff(f2289,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] : ('inj_on$a'(X0,'top$a') | 'id$' != 'comp$f'('inv_into$a'('top$a',X0),X0)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1562])).
% 46.91/7.25
% 46.91/7.25 tff(f2307,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('id$a' = 'fun_app$i'('comp$b'(X0),'inv_into$c'('top$a',X0)) | ~'iso_register$'(X0)) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1254])).
% 46.91/7.25
% 46.91/7.25 tff(f2373,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('comp$j'('fun_app$a'('comp$'(X3),X0),X1) = 'fun_app$a'('comp$'(X3),X2) | 'comp$h'(X0,X1) != X2) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1313])).
% 46.91/7.25
% 46.91/7.25 tff(f2381,plain,(
% 46.91/7.25 ( ! [X2 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$i'('fun_app$i'('comp$b'(X3),X0),X1) = 'comp$h'(X3,X2) | 'fun_app$f'('comp$a'(X0),X1) != X2) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1321])).
% 46.91/7.25
% 46.91/7.25 tff(f2385,plain,(
% 46.91/7.25 ( ! [X2 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('fun_app$a'('comp$'(X2),X3) = 'comp$j'(X0,'fun_app$f'('comp$a'(X1),X3)) | 'comp$k'(X0,X1) != X2) )),
% 46.91/7.25 inference(cnf_transformation,[],[f1325])).
% 46.91/7.25
% 46.91/7.25 tff(f2402,plain,(
% 46.91/7.25 ( ! [X3 : 'B_ell2_b_ell2_cblinfun$',X0 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('fun_app$c'(X0,'fun_app$d'(X1,X3)) = 'fun_app$b'('fun_app$a'('comp$'(X0),X1),X3)) )),
% 46.91/7.25 inference(equality_resolution,[],[f1645])).
% 46.91/7.25
% 46.91/7.25 tff(f2403,plain,(
% 46.91/7.25 ( ! [X3 : 'B_ell2_b_ell2_cblinfun$',X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('fun_app$g'(X0,'fun_app$d'(X1,X3)) = 'fun_app$e'('fun_app$f'('comp$a'(X0),X1),X3)) )),
% 46.91/7.25 inference(equality_resolution,[],[f1646])).
% 46.91/7.25
% 46.91/7.25 tff(f2404,plain,(
% 46.91/7.25 ( ! [X3 : 'A_ell2_a_ell2_cblinfun$',X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('fun_app$d'(X0,'fun_app$g'(X1,X3)) = 'fun_app$h'('fun_app$i'('comp$b'(X0),X1),X3)) )),
% 46.91/7.25 inference(equality_resolution,[],[f1647])).
% 46.91/7.25
% 46.91/7.25 tff(f2428,plain,(
% 46.91/7.25 ( ! [X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X5 : 'B_ell2_b_ell2_cblinfun$'] : (sK30(X0,'fun_app$b'(X0,X5)) = X5 | ~'member$'('fun_app$b'(X0,X5),'image$a'(X0,'top$a')) | ~'inj_on$a'(X0,'top$a')) )),
% 46.91/7.25 inference(equality_resolution,[],[f1795])).
% 46.91/7.25
% 46.91/7.25 tff(f2447,plain,(
% 46.91/7.25 ( ! [X1 : 'B_ell2_b_ell2_cblinfun$'] : ('fun_app$e'('id$',X1) = X1) )),
% 46.91/7.25 inference(equality_resolution,[],[f2161])).
% 46.91/7.25
% 46.91/7.25 tff(f2448,plain,(
% 46.91/7.25 ( ! [X1 : 'A_ell2_a_ell2_cblinfun$'] : ('fun_app$h'('id$a',X1) = X1) )),
% 46.91/7.25 inference(equality_resolution,[],[f2163])).
% 46.91/7.25
% 46.91/7.25 tff(f2493,plain,(
% 46.91/7.25 ( ! [X3 : 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('comp$j'('fun_app$a'('comp$'(X3),X0),X1) = 'fun_app$a'('comp$'(X3),'comp$h'(X0,X1))) )),
% 46.91/7.25 inference(equality_resolution,[],[f2373])).
% 46.91/7.25
% 46.91/7.25 tff(f2501,plain,(
% 46.91/7.25 ( ! [X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X0 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'] : ('comp$i'('fun_app$i'('comp$b'(X3),X0),X1) = 'comp$h'(X3,'fun_app$f'('comp$a'(X0),X1))) )),
% 46.91/7.25 inference(equality_resolution,[],[f2381])).
% 46.91/7.25
% 46.91/7.25 tff(f2505,plain,(
% 46.91/7.25 ( ! [X3 : 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X0 : 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1 : 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] : ('comp$j'(X0,'fun_app$f'('comp$a'(X1),X3)) = 'fun_app$a'('comp$'('comp$k'(X0,X1)),X3)) )),
% 46.91/7.25 inference(equality_resolution,[],[f2385])).
% 46.91/7.25
% 46.91/7.25 tcf(c_51,negated_conjecture,
% 46.91/7.25 ('fun_app$a'('comp$'('f$'),'i$') != 'g$'),
% 46.91/7.25 inference(cnf_transformation,[],[f1600])).
% 46.91/7.25
% 46.91/7.25 tcf(c_53,plain,
% 46.91/7.25 ('register$a'('f$')),
% 46.91/7.25 inference(cnf_transformation,[],[f1602])).
% 46.91/7.25
% 46.91/7.25 tcf(c_54,plain,
% 46.91/7.25 ('iso_register$'('i$')),
% 46.91/7.25 inference(cnf_transformation,[],[f1603])).
% 46.91/7.25
% 46.91/7.25 tcf(c_55,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$b'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun') = 'fun_app$c'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'))),
% 46.91/7.25 inference(cnf_transformation,[],[f1604])).
% 46.91/7.25
% 46.91/7.25 tcf(c_60,plain,
% 46.91/7.25 ('register$b'('i$')),
% 46.91/7.25 inference(cnf_transformation,[],[f1609])).
% 46.91/7.25
% 46.91/7.25 tcf(c_63,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$l'('inv_into$'('top$','f$'),'fun_app$b'('g$',X0_'B_ell2_b_ell2_cblinfun')) = 'fun_app$d'('i$',X0_'B_ell2_b_ell2_cblinfun')),
% 46.91/7.25 inference(cnf_transformation,[],[f1612])).
% 46.91/7.25
% 46.91/7.25 tcf(c_71,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$o'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')) = 'comp$m'('fun_app$f'('comp$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),
% 46.91/7.25 inference(cnf_transformation,[],[f1620])).
% 46.91/7.25
% 46.91/7.25 tcf(c_81,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$o'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')) = 'comp$m'('fun_app$f'('comp$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),
% 46.91/7.25 inference(cnf_transformation,[],[f1630])).
% 46.91/7.25
% 46.91/7.25 tcf(c_96,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$b'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun') = 'fun_app$c'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'))),
% 46.91/7.25 inference(cnf_transformation,[],[f2402])).
% 46.91/7.25
% 46.91/7.25 tcf(c_97,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$e'('fun_app$f'('comp$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun') = 'fun_app$g'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'))),
% 46.91/7.25 inference(cnf_transformation,[],[f2403])).
% 46.91/7.25
% 46.91/7.25 tcf(c_98,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$h'('fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X0_'A_ell2_a_ell2_cblinfun') = 'fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','fun_app$g'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'))),
% 46.91/7.25 inference(cnf_transformation,[],[f2404])).
% 46.91/7.25
% 46.91/7.25 tcf(c_100,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('member$'('fun_app$b'('g$',X0_'B_ell2_b_ell2_cblinfun'),'image$'('f$','top$'))),
% 46.91/7.25 inference(cnf_transformation,[],[f1649])).
% 46.91/7.25
% 46.91/7.25 tcf(c_119,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('member$a'(X0_'A_ell2_a_ell2_cblinfun','top$')),
% 46.91/7.25 inference(cnf_transformation,[],[f1668])).
% 46.91/7.25
% 46.91/7.25 tcf(c_132,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'register$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')|
% 46.91/7.25 ~'register$a'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun')|
% 46.91/7.25 'register$'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'))),
% 46.91/7.25 inference(cnf_transformation,[],[f1681])).
% 46.91/7.25
% 46.91/7.25 tcf(c_180,plain,![X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('fun_app$n'(X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',sK11(X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'))) != sK11(X0_'B_ell2_b_ell2_cblinfun_set',X0_'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun')|
% 46.91/7.25 'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(cnf_transformation,[],[f1730])).
% 46.91/7.25
% 46.91/7.25 tcf(c_226,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$',X0_'A_ell2_a_ell2_cblinfun_set':'A_ell2_a_ell2_cblinfun_set$']:
% 46.91/7.25 (~'member$a'(X0_'A_ell2_a_ell2_cblinfun',X0_'A_ell2_a_ell2_cblinfun_set')|
% 46.91/7.25 'member$'('fun_app$c'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun'),'image$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'))),
% 46.91/7.25 inference(cnf_transformation,[],[f1775])).
% 46.91/7.25
% 46.91/7.25 tcf(c_246,plain,![X0_'C_ell2_c_ell2_cblinfun':'C_ell2_c_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'member$'(X0_'C_ell2_c_ell2_cblinfun','image$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a'))|
% 46.91/7.25 ~'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a')|
% 46.91/7.25 'fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',sK30(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'C_ell2_c_ell2_cblinfun')) = X0_'C_ell2_c_ell2_cblinfun'),
% 46.91/7.25 inference(cnf_transformation,[],[f1796])).
% 46.91/7.25
% 46.91/7.25 tcf(c_247,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'member$'('fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'),'image$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a'))|
% 46.91/7.25 ~'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a')|
% 46.91/7.25 sK30(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun')) = X0_'B_ell2_b_ell2_cblinfun'),
% 46.91/7.25 inference(cnf_transformation,[],[f2428])).
% 46.91/7.25
% 46.91/7.25 tcf(c_289,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('member$'('fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'),'image$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a'))),
% 46.91/7.25 inference(cnf_transformation,[],[f1840])).
% 46.91/7.25
% 46.91/7.25 tcf(c_304,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$c'('fun_app$f'('comp$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_set')|
% 46.91/7.25 'inj_on$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(cnf_transformation,[],[f1857])).
% 46.91/7.25
% 46.91/7.25 tcf(c_305,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'A_ell2_a_ell2_cblinfun_set':'A_ell2_a_ell2_cblinfun_set$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$b'('fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X0_'A_ell2_a_ell2_cblinfun_set')|
% 46.91/7.25 'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set')),
% 46.91/7.25 inference(cnf_transformation,[],[f1858])).
% 46.91/7.25
% 46.91/7.25 tcf(c_346,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('image$a'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_set') = 'image$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set'))),
% 46.91/7.25 inference(cnf_transformation,[],[f1899])).
% 46.91/7.25
% 46.91/7.25 tcf(c_421,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'register$'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun')|
% 46.91/7.25 'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a')),
% 46.91/7.25 inference(cnf_transformation,[],[f1974])).
% 46.91/7.25
% 46.91/7.25 tcf(c_430,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','top$')|
% 46.91/7.25 'comp$k'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),'inv_into$b'('top$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') = X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(cnf_transformation,[],[f1983])).
% 46.91/7.25
% 46.91/7.25 tcf(c_431,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','top$')|
% 46.91/7.25 'comp$m'('fun_app$f'('comp$a'(X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),'inv_into$b'('top$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') = X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),
% 46.91/7.25 inference(cnf_transformation,[],[f1984])).
% 46.91/7.25
% 46.91/7.25 tcf(c_433,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','top$a')|
% 46.91/7.25 'comp$i'('fun_app$i'('comp$b'(X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),'inv_into$c'('top$a',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') = X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),
% 46.91/7.25 inference(cnf_transformation,[],[f1986])).
% 46.91/7.25
% 46.91/7.25 tcf(c_434,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','top$a')|
% 46.91/7.25 'fun_app$a'('comp$'('comp$k'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','inv_into$c'('top$a',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'))),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') = X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(cnf_transformation,[],[f1987])).
% 46.91/7.25
% 46.91/7.25 tcf(c_485,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$n'('inv_into$a'('top$a','g$'),'fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun')) = 'fun_app$g'('j$',X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(cnf_transformation,[],[f2038])).
% 46.91/7.25
% 46.91/7.25 tcf(c_488,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'C_ell2_c_ell2_cblinfun':'C_ell2_c_ell2_cblinfun$',X0_'A_ell2_a_ell2_cblinfun_set':'A_ell2_a_ell2_cblinfun_set$']:
% 46.91/7.25 (~'member$'(X0_'C_ell2_c_ell2_cblinfun','image$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_set'))|
% 46.91/7.25 'fun_app$c'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$l'('inv_into$'(X0_'A_ell2_a_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'C_ell2_c_ell2_cblinfun')) = X0_'C_ell2_c_ell2_cblinfun'),
% 46.91/7.25 inference(cnf_transformation,[],[f2041])).
% 46.91/7.25
% 46.91/7.25 tcf(c_539,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$b'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),sK112(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun')) != 'fun_app$b'('fun_app$a'('comp$'(X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),sK112(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'))|
% 46.91/7.25 'image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') != 'top$'|
% 46.91/7.25 X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun' = X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(cnf_transformation,[],[f2093])).
% 46.91/7.25
% 46.91/7.25 tcf(c_545,plain,
% 46.91/7.25 ('fun_app$f'('comp$a'('j$'),'i$') = 'id$'),
% 46.91/7.25 inference(cnf_transformation,[],[f2098])).
% 46.91/7.25
% 46.91/7.25 tcf(c_546,plain,
% 46.91/7.25 ('fun_app$i'('comp$b'('i$'),'j$') = 'id$a'),
% 46.91/7.25 inference(cnf_transformation,[],[f2099])).
% 46.91/7.25
% 46.91/7.25 tcf(c_607,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$e'('id$',X0_'B_ell2_b_ell2_cblinfun') = X0_'B_ell2_b_ell2_cblinfun'),
% 46.91/7.25 inference(cnf_transformation,[],[f2447])).
% 46.91/7.25
% 46.91/7.25 tcf(c_609,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$h'('id$a',X0_'A_ell2_a_ell2_cblinfun') = X0_'A_ell2_a_ell2_cblinfun'),
% 46.91/7.25 inference(cnf_transformation,[],[f2448])).
% 46.91/7.25
% 46.91/7.25 tcf(c_616,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('inj_on$c'('id$',X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(cnf_transformation,[],[f2169])).
% 46.91/7.25
% 46.91/7.25 tcf(c_617,plain,![X0_'A_ell2_a_ell2_cblinfun_set':'A_ell2_a_ell2_cblinfun_set$']:
% 46.91/7.25 ('inj_on$b'('id$a',X0_'A_ell2_a_ell2_cblinfun_set')),
% 46.91/7.25 inference(cnf_transformation,[],[f2170])).
% 46.91/7.25
% 46.91/7.25 tcf(c_707,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),'inv_into$c'('top$a',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')) != 'id$a'|
% 46.91/7.25 'image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','top$a') = 'top$'),
% 46.91/7.25 inference(cnf_transformation,[],[f2261])).
% 46.91/7.25
% 46.91/7.25 tcf(c_708,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','top$a') != 'top$'|
% 46.91/7.25 'fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),'inv_into$c'('top$a',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')) = 'id$a'),
% 46.91/7.25 inference(cnf_transformation,[],[f2260])).
% 46.91/7.25
% 46.91/7.25 tcf(c_730,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','top$')|
% 46.91/7.25 'fun_app$i'('comp$b'('inv_into$b'('top$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') = 'id$a'),
% 46.91/7.25 inference(cnf_transformation,[],[f2282])).
% 46.91/7.25
% 46.91/7.25 tcf(c_734,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','top$a')|
% 46.91/7.25 'fun_app$f'('comp$a'('inv_into$c'('top$a',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun') = 'id$'),
% 46.91/7.25 inference(cnf_transformation,[],[f2286])).
% 46.91/7.25
% 46.91/7.25 tcf(c_735,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$f'('inv_into$a'('top$a',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') != 'id$'|
% 46.91/7.25 'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a')),
% 46.91/7.25 inference(cnf_transformation,[],[f2289])).
% 46.91/7.25
% 46.91/7.25 tcf(c_736,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a')|
% 46.91/7.25 'comp$f'('inv_into$a'('top$a',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') = 'id$'),
% 46.91/7.25 inference(cnf_transformation,[],[f2288])).
% 46.91/7.25
% 46.91/7.25 tcf(c_754,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'iso_register$'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')|
% 46.91/7.25 'fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),'inv_into$c'('top$a',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')) = 'id$a'),
% 46.91/7.25 inference(cnf_transformation,[],[f2307])).
% 46.91/7.25
% 46.91/7.25 tcf(c_817,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$j'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') = 'fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),'comp$h'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'))),
% 46.91/7.25 inference(cnf_transformation,[],[f2493])).
% 46.91/7.25
% 46.91/7.25 tcf(c_825,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$h'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','fun_app$f'('comp$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')) = 'comp$i'('fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X1_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')),
% 46.91/7.25 inference(cnf_transformation,[],[f2501])).
% 46.91/7.25
% 46.91/7.25 tcf(c_829,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$j'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$f'('comp$a'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')) = 'fun_app$a'('comp$'('comp$k'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')),
% 46.91/7.25 inference(cnf_transformation,[],[f2505])).
% 46.91/7.25
% 46.91/7.25 tcf(c_949,plain,
% 46.91/7.25 (~'iso_register$'('i$')|'fun_app$i'('comp$b'('i$'),'inv_into$c'('top$a','i$')) = 'id$a'),
% 46.91/7.25 inference(instantiation,[status(thm)],[c_754])).
% 46.91/7.25
% 46.91/7.25 tcf(c_1092,plain,
% 46.91/7.25 ('fun_app$i'('comp$b'('i$'),'inv_into$c'('top$a','i$')) != 'id$a'|
% 46.91/7.25 'image$e'('i$','top$a') = 'top$'),
% 46.91/7.25 inference(instantiation,[status(thm)],[c_707])).
% 46.91/7.25
% 46.91/7.25 tcf(c_1538,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'iso_register$'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')|
% 46.91/7.25 'image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','top$a') = 'top$'),
% 46.91/7.25 inference(prop_impl_just,[status(thm)],[c_754,c_707])).
% 46.91/7.25
% 46.91/7.25 tcf(c_1972,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','top$')|
% 46.91/7.25 'comp$m'('fun_app$f'('comp$a'(X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),'inv_into$b'('top$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') = X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),
% 46.91/7.25 inference(prop_impl_just,[status(thm)],[c_431])).
% 46.91/7.25
% 46.91/7.25 tcf(c_7276,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','top$')|
% 46.91/7.25 'comp$o'(X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','fun_app$i'('comp$b'('inv_into$b'('top$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')) = X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_1972,c_71])).
% 46.91/7.25
% 46.91/7.25 tcf(c_8978,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$c'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',sK112(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'))) != 'fun_app$c'(X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',sK112(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun')))|
% 46.91/7.25 'image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set') != 'top$'|
% 46.91/7.25 X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun' = X1_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_539,c_55])).
% 46.91/7.25
% 46.91/7.25 tcf(c_17633,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'iso_register$'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')|
% 46.91/7.25 'image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','top$a') = 'top$'),
% 46.91/7.25 inference(prop_impl_just,[status(thm)],[c_1538])).
% 46.91/7.25
% 46.91/7.25 tcf(c_17819,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$a'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','top$a')|
% 46.91/7.25 sK30(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun')) = X0_'B_ell2_b_ell2_cblinfun'),
% 46.91/7.25 inference(prop_impl_just,[status(thm)],[c_289,c_247])).
% 46.91/7.25
% 46.91/7.25 tcf(c_18081,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'inj_on$f'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','top$')|
% 46.91/7.25 'comp$o'(X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','fun_app$i'('comp$b'('inv_into$b'('top$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')) = X1_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),
% 46.91/7.25 inference(prop_impl_just,[status(thm)],[c_7276])).
% 46.91/7.25
% 46.91/7.25 tcf(c_32732,definition,
% 46.91/7.25 (iPr_def_10 = 'comp$'('f$')),
% 46.91/7.25 introduced(definition,[new_symbols(definition,[iPr_def_10])],[])).
% 46.91/7.25
% 46.91/7.25 tcf(c_32733,definition,
% 46.91/7.25 (iPr_def_11 = 'fun_app$a'(iPr_def_10,'i$')),
% 46.91/7.25 introduced(definition,[new_symbols(definition,[iPr_def_11])],[])).
% 46.91/7.25
% 46.91/7.25 tcf(c_32734,negated_conjecture,
% 46.91/7.25 (iPr_def_11 != 'g$'),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_51,c_32732,c_32733])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40101,plain,
% 46.91/7.25 ('image$e'('i$','top$a') = 'top$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_54,c_17633])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40259,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 (~'inj_on$c'('id$',X0_'B_ell2_b_ell2_cblinfun_set')|'inj_on$e'('i$',X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_545,c_304])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40260,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('inj_on$e'('i$',X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(forward_subsumption_resolution,[status(thm)],[c_40259,c_616])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40266,plain,![X0_'A_ell2_a_ell2_cblinfun_set':'A_ell2_a_ell2_cblinfun_set$']:
% 46.91/7.25 (~'inj_on$b'('id$a',X0_'A_ell2_a_ell2_cblinfun_set')|'inj_on$f'('j$',X0_'A_ell2_a_ell2_cblinfun_set')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_546,c_305])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40267,plain,![X0_'A_ell2_a_ell2_cblinfun_set':'A_ell2_a_ell2_cblinfun_set$']:
% 46.91/7.25 ('inj_on$f'('j$',X0_'A_ell2_a_ell2_cblinfun_set')),
% 46.91/7.25 inference(forward_subsumption_resolution,[status(thm)],[c_40266,c_617])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40694,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'register$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')|
% 46.91/7.25 ~'register$a'('f$')|'register$'('fun_app$a'(iPr_def_10,X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'))),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32732,c_132])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40700,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'register$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun')|
% 46.91/7.25 'register$'('fun_app$a'(iPr_def_10,X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'))),
% 46.91/7.25 inference(forward_subsumption_resolution,[status(thm)],[c_40694,c_53])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40726,plain,
% 46.91/7.25 (~'register$b'('i$')|'register$'(iPr_def_11)),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32733,c_40700])).
% 46.91/7.25
% 46.91/7.25 tcf(c_40729,plain,
% 46.91/7.25 ('register$'(iPr_def_11)),
% 46.91/7.25 inference(forward_subsumption_resolution,[status(thm)],[c_40726,c_60])).
% 46.91/7.25
% 46.91/7.25 tcf(c_41891,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 (~'register$'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun')|
% 46.91/7.25 'comp$f'('inv_into$a'('top$a',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun') = 'id$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_421,c_736])).
% 46.91/7.25
% 46.91/7.25 tcf(c_41992,plain,
% 46.91/7.25 ('comp$f'('inv_into$a'('top$a',iPr_def_11),iPr_def_11) = 'id$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40729,c_41891])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42010,plain,
% 46.91/7.25 ('inj_on$a'(iPr_def_11,'top$a')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_41992,c_735])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42023,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 (sK30(iPr_def_11,'fun_app$b'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun')) = X0_'B_ell2_b_ell2_cblinfun'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42010,c_17819])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42034,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$b'('fun_app$a'(iPr_def_10,X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun') = 'fun_app$c'('f$','fun_app$d'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun'))),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32732,c_96])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42043,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$g'('j$','fun_app$d'('i$',X0_'B_ell2_b_ell2_cblinfun')) = 'fun_app$e'('id$',X0_'B_ell2_b_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_545,c_97])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42045,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$g'('j$','fun_app$d'('i$',X0_'B_ell2_b_ell2_cblinfun')) = X0_'B_ell2_b_ell2_cblinfun'),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_42043,c_607])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42049,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$d'('i$','fun_app$g'('j$',X0_'A_ell2_a_ell2_cblinfun')) = 'fun_app$h'('id$a',X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_546,c_98])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42051,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$d'('i$','fun_app$g'('j$',X0_'A_ell2_a_ell2_cblinfun')) = X0_'A_ell2_a_ell2_cblinfun'),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_42049,c_609])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42454,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$c'('f$','fun_app$d'('i$',X0_'B_ell2_b_ell2_cblinfun')) = 'fun_app$b'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32733,c_42034])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42462,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$b'(iPr_def_11,'fun_app$g'('j$',X0_'A_ell2_a_ell2_cblinfun')) = 'fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42051,c_42454])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42466,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$n'('inv_into$a'('top$a','g$'),'fun_app$b'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun')) = 'fun_app$g'('j$','fun_app$d'('i$',X0_'B_ell2_b_ell2_cblinfun'))),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42454,c_485])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42468,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('fun_app$c'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$d'('i$',sK112('i$',X0_'B_ell2_b_ell2_cblinfun_set','f$',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'))) != 'fun_app$b'(iPr_def_11,sK112('i$',X0_'B_ell2_b_ell2_cblinfun_set','f$',X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'))|
% 46.91/7.25 'image$e'('i$',X0_'B_ell2_b_ell2_cblinfun_set') != 'top$'|X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun' = 'f$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42454,c_8978])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42471,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$n'('inv_into$a'('top$a','g$'),'fun_app$b'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun')) = X0_'B_ell2_b_ell2_cblinfun'),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_42466,c_42045])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42562,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('image$'('f$','image$e'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_set')) = 'image$a'('fun_app$a'(iPr_def_10,X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32732,c_346])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42591,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 (sK30(iPr_def_11,'fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun')) = 'fun_app$g'('j$',X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42462,c_42023])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42822,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('image$'('f$','image$e'('i$',X0_'B_ell2_b_ell2_cblinfun_set')) = 'image$a'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32733,c_42562])).
% 46.91/7.25
% 46.91/7.25 tcf(c_42848,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 (~'member$a'(X0_'A_ell2_a_ell2_cblinfun','image$e'('i$',X0_'B_ell2_b_ell2_cblinfun_set'))|
% 46.91/7.25 'member$'('fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun'),'image$a'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun_set'))),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42822,c_226])).
% 46.91/7.25
% 46.91/7.25 tcf(c_43380,plain,
% 46.91/7.25 ('fun_app$i'('comp$b'('inv_into$b'('top$','j$')),'j$') = 'id$a'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40267,c_730])).
% 46.91/7.25
% 46.91/7.25 tcf(c_43476,plain,
% 46.91/7.25 ('fun_app$f'('comp$a'('inv_into$c'('top$a','i$')),'i$') = 'id$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40260,c_734])).
% 46.91/7.25
% 46.91/7.25 tcf(c_43483,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$o'('j$','fun_app$i'('comp$b'('i$'),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')) = 'comp$m'('id$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_545,c_81])).
% 46.91/7.25
% 46.91/7.25 tcf(c_43495,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$o'('inv_into$c'('top$a','i$'),'fun_app$i'('comp$b'('i$'),X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')) = 'comp$m'('id$',X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_43476,c_81])).
% 46.91/7.25
% 46.91/7.25 tcf(c_43557,plain,
% 46.91/7.25 ('comp$o'('j$','id$a') = 'comp$m'('id$','j$')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_546,c_43483])).
% 46.91/7.25
% 46.91/7.25 tcf(c_44692,plain,![X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$j'('fun_app$a'(iPr_def_10,X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun') = 'fun_app$a'(iPr_def_10,'comp$h'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'))),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32732,c_817])).
% 46.91/7.25
% 46.91/7.25 tcf(c_44782,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$i'('fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),'j$'),'i$') = 'comp$h'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun','id$')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_545,c_825])).
% 46.91/7.25
% 46.91/7.25 tcf(c_45100,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$a'('comp$'('comp$k'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','j$')),'i$') = 'comp$j'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','id$')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_545,c_829])).
% 46.91/7.25
% 46.91/7.25 tcf(c_45305,plain,
% 46.91/7.25 ('comp$h'('inv_into$b'('top$','j$'),'id$') = 'comp$i'('id$a','i$')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_43380,c_44782])).
% 46.91/7.25
% 46.91/7.25 tcf(c_48962,plain,![X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$k'('fun_app$a'('comp$'(X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),'inv_into$b'('top$','j$')),'j$') = X0_'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40267,c_430])).
% 46.91/7.25
% 46.91/7.25 tcf(c_49030,plain,![X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$i'('fun_app$i'('comp$b'(X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),'inv_into$c'('top$a','i$')),'i$') = X0_'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40260,c_433])).
% 46.91/7.25
% 46.91/7.25 tcf(c_49058,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$a'('comp$'('comp$k'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','inv_into$c'('top$a','i$'))),'i$') = X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40260,c_434])).
% 46.91/7.25
% 46.91/7.25 tcf(c_49816,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$o'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','fun_app$i'('comp$b'('inv_into$b'('top$','j$')),'j$')) = X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40267,c_18081])).
% 46.91/7.25
% 46.91/7.25 tcf(c_49828,plain,![X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun':'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$o'(X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun','id$a') = X0_'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun'),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_49816,c_43380])).
% 46.91/7.25
% 46.91/7.25 tcf(c_49850,plain,
% 46.91/7.25 ('comp$m'('id$','j$') = 'j$'),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_43557,c_49828])).
% 46.91/7.25
% 46.91/7.25 tcf(c_52434,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$c'('f$','fun_app$l'('inv_into$'('top$','f$'),'fun_app$b'('g$',X0_'B_ell2_b_ell2_cblinfun'))) = 'fun_app$b'('g$',X0_'B_ell2_b_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_100,c_488])).
% 46.91/7.25
% 46.91/7.25 tcf(c_52468,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$b'('g$',X0_'B_ell2_b_ell2_cblinfun') = 'fun_app$b'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun')),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_52434,c_63,c_42454])).
% 46.91/7.25
% 46.91/7.25 tcf(c_53650,plain,
% 46.91/7.25 ('fun_app$i'('comp$b'('i$'),'inv_into$c'('top$a','i$')) = 'id$a'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_40101,c_708])).
% 46.91/7.25
% 46.91/7.25 tcf(c_56975,plain,
% 46.91/7.25 ('comp$k'('fun_app$a'(iPr_def_10,'inv_into$b'('top$','j$')),'j$') = 'f$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_32732,c_48962])).
% 46.91/7.25
% 46.91/7.25 tcf(c_57104,plain,
% 46.91/7.25 ('comp$j'('fun_app$a'(iPr_def_10,'inv_into$b'('top$','j$')),'id$') = 'fun_app$a'('comp$'('f$'),'i$')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_56975,c_45100])).
% 46.91/7.25
% 46.91/7.25 tcf(c_57116,plain,
% 46.91/7.25 ('comp$j'('fun_app$a'(iPr_def_10,'inv_into$b'('top$','j$')),'id$') = iPr_def_11),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_57104,c_32732,c_32733])).
% 46.91/7.25
% 46.91/7.25 tcf(c_57942,plain,
% 46.91/7.25 ('fun_app$a'(iPr_def_10,'comp$i'('id$a','i$')) = iPr_def_11),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_57116,c_44692,c_45305])).
% 46.91/7.25
% 46.91/7.25 tcf(c_59431,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('inj_on$a'(iPr_def_11,X0_'B_ell2_b_ell2_cblinfun_set')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42471,c_180])).
% 46.91/7.25
% 46.91/7.25 tcf(c_60334,plain,
% 46.91/7.25 ('comp$i'('id$a','i$') = 'i$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_53650,c_49030])).
% 46.91/7.25
% 46.91/7.25 tcf(c_60371,plain,
% 46.91/7.25 ('fun_app$a'(iPr_def_10,'i$') = iPr_def_11),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_57942,c_60334])).
% 46.91/7.25
% 46.91/7.25 tcf(c_65350,plain,
% 46.91/7.25 ('comp$o'('inv_into$c'('top$a','i$'),'id$a') = 'comp$m'('id$','j$')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_546,c_43495])).
% 46.91/7.25
% 46.91/7.25 tcf(c_65355,plain,
% 46.91/7.25 ('comp$o'('inv_into$c'('top$a','i$'),'id$a') = 'j$'),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_65350,c_49850])).
% 46.91/7.25
% 46.91/7.25 tcf(c_65499,plain,
% 46.91/7.25 ('inv_into$c'('top$a','i$') = 'j$'),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_65355,c_49828])).
% 46.91/7.25
% 46.91/7.25 tcf(c_66673,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('comp$j'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','id$') = X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_49058,c_45100,c_65499])).
% 46.91/7.25
% 46.91/7.25 tcf(c_66694,plain,![X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$a'('comp$'('comp$k'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','j$')),'i$') = X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun'),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_45100,c_66673])).
% 46.91/7.25
% 46.91/7.25 tcf(c_66988,plain,![X0_'B_ell2_b_ell2_cblinfun':'B_ell2_b_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$c'('comp$k'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','j$'),'fun_app$d'('i$',X0_'B_ell2_b_ell2_cblinfun')) = 'fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun',X0_'B_ell2_b_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_66694,c_96])).
% 46.91/7.25
% 46.91/7.25 tcf(c_86119,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$',X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun':'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$']:
% 46.91/7.25 ('fun_app$b'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','fun_app$g'('j$',X0_'A_ell2_a_ell2_cblinfun')) = 'fun_app$c'('comp$k'(X0_'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun','j$'),X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42051,c_66988])).
% 46.91/7.25
% 46.91/7.25 tcf(c_90493,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$b'(iPr_def_11,'fun_app$g'('j$',X0_'A_ell2_a_ell2_cblinfun')) = 'fun_app$c'('comp$k'('g$','j$'),X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_86119,c_52468])).
% 46.91/7.25
% 46.91/7.25 tcf(c_90944,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 (~'member$a'(X0_'A_ell2_a_ell2_cblinfun','image$e'('i$','top$a'))|
% 46.91/7.25 ~'inj_on$a'(iPr_def_11,'top$a')|'fun_app$b'(iPr_def_11,sK30(iPr_def_11,'fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun'))) = 'fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(superposition,[status(thm)],[c_42848,c_246])).
% 46.91/7.25
% 46.91/7.25 tcf(c_90973,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 (~'member$a'(X0_'A_ell2_a_ell2_cblinfun','top$')|~'inj_on$a'(iPr_def_11,'top$a')|
% 46.91/7.25 'fun_app$c'('comp$k'('g$','j$'),X0_'A_ell2_a_ell2_cblinfun') = 'fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(light_normalisation,
% 46.91/7.25 [status(thm)],
% 46.91/7.25 [c_90944,c_40101,c_42591,c_90493])).
% 46.91/7.25
% 46.91/7.25 tcf(c_90974,plain,![X0_'A_ell2_a_ell2_cblinfun':'A_ell2_a_ell2_cblinfun$']:
% 46.91/7.25 ('fun_app$c'('comp$k'('g$','j$'),X0_'A_ell2_a_ell2_cblinfun') = 'fun_app$c'('f$',X0_'A_ell2_a_ell2_cblinfun')),
% 46.91/7.25 inference(forward_subsumption_resolution,
% 46.91/7.25 [status(thm)],
% 46.91/7.25 [c_90973,c_59431,c_119])).
% 46.91/7.25
% 46.91/7.25 tcf(c_91313,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('fun_app$c'('f$','fun_app$d'('i$',sK112('i$',X0_'B_ell2_b_ell2_cblinfun_set','f$','comp$k'('g$','j$')))) != 'fun_app$b'(iPr_def_11,sK112('i$',X0_'B_ell2_b_ell2_cblinfun_set','f$','comp$k'('g$','j$')))|
% 46.91/7.25 'image$e'('i$',X0_'B_ell2_b_ell2_cblinfun_set') != 'top$'|'comp$k'('g$','j$') = 'f$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_90974,c_42468])).
% 46.91/7.25
% 46.91/7.25 tcf(c_91382,plain,![X0_'B_ell2_b_ell2_cblinfun_set':'B_ell2_b_ell2_cblinfun_set$']:
% 46.91/7.25 ('image$e'('i$',X0_'B_ell2_b_ell2_cblinfun_set') != 'top$'|'comp$k'('g$','j$') = 'f$'),
% 46.91/7.25 inference(ground_joinability,[status(thm)],[c_91313,c_42454])).
% 46.91/7.25
% 46.91/7.25 tcf(c_91405,plain,
% 46.91/7.25 ('image$e'('i$','top$a') != 'top$'|'comp$k'('g$','j$') = 'f$'),
% 46.91/7.25 inference(instantiation,[status(thm)],[c_91382])).
% 46.91/7.25
% 46.91/7.25 tcf(c_148754,plain,
% 46.91/7.25 ('comp$k'('g$','j$') = 'f$'),
% 46.91/7.25 inference(global_subsumption_just,
% 46.91/7.25 [status(thm)],
% 46.91/7.25 [c_91382,c_54,c_949,c_1092,c_91405])).
% 46.91/7.25
% 46.91/7.25 tcf(c_148798,plain,
% 46.91/7.25 ('fun_app$a'('comp$'('f$'),'i$') = 'g$'),
% 46.91/7.25 inference(superposition,[status(thm)],[c_148754,c_66694])).
% 46.91/7.25
% 46.91/7.25 tcf(c_148818,plain,
% 46.91/7.25 ('g$' = iPr_def_11),
% 46.91/7.25 inference(light_normalisation,[status(thm)],[c_148798,c_32732,c_60371])).
% 46.91/7.25
% 46.91/7.25 tcf(c_148914,plain,
% 46.91/7.25 (iPr_def_11 != iPr_def_11),
% 46.91/7.25 inference(demodulation,[status(thm)],[c_32734,c_148818])).
% 46.91/7.25
% 46.91/7.25 tcf(c_148915,plain,
% 46.91/7.25 ($false),
% 46.91/7.25 inference(equality_resolution_simp,[status(thm)],[c_148914])).
% 46.91/7.25
% 46.91/7.25
% 46.91/7.25 % SZS output end CNFRefutation for theBenchmark.p
% 46.91/7.25
% 46.91/7.25
%------------------------------------------------------------------------------