TSTP Solution File: ITP397_1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP397_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 03:33:41 EDT 2023

% Result   : Theorem 74.40s 64.76s
% Output   : Proof 74.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24  % Problem    : ITP397_1 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.25  % Command    : do_cvc5 %s %d
% 0.25/0.47  % Computer : n021.cluster.edu
% 0.25/0.47  % Model    : x86_64 x86_64
% 0.25/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.47  % Memory   : 8042.1875MB
% 0.25/0.47  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.25/0.47  % CPULimit   : 300
% 0.25/0.47  % WCLimit    : 300
% 0.25/0.47  % DateTime   : Sun Aug 27 13:20:58 EDT 2023
% 0.25/0.47  % CPUTime    : 
% 0.33/0.72  %----Proving TF0_NAR, FOF, or CNF
% 74.40/64.76  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.qz7f2poUoi/cvc5---1.0.5_10434.p...
% 74.40/64.76  ------- get file name : TPTP file name is ITP397_1
% 74.40/64.76  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10434.smt2...
% 74.40/64.76  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 74.40/64.76  --- Run --no-e-matching --full-saturate-quant at 5...
% 74.40/64.76  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 74.40/64.76  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 74.40/64.76  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 74.40/64.76  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 74.40/64.76  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 74.40/64.76  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 74.40/64.76  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 74.40/64.76  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 74.40/64.76  --- Run --relevant-triggers --full-saturate-quant at 5...
% 74.40/64.76  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 74.40/64.76  % SZS status Theorem for ITP397_1
% 74.40/64.76  % SZS output start Proof for ITP397_1
% 74.40/64.76  (
% 74.40/64.76  (let ((_let_1 (|tptp.'fun_app$k'| (|tptp.'comp$c'| |tptp.'suc$'|) |tptp.'suc$'|))) (let ((_let_2 (= (|tptp.'fun_app$d'| |tptp.'i$'| |tptp.'id_cblinfun$'|) |tptp.'id_cblinfun$a'|))) (let ((_let_3 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$'|)) (= (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))))) (let ((_let_4 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$a'|)) (= (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))))) (let ((_let_5 (|tptp.'image$d'| |tptp.'id$'|))) (let ((_let_6 (|tptp.'fun_app$p'| _let_5 |tptp.'top$a'|))) (let ((_let_7 (= _let_6 |tptp.'top$a'|))) (let ((_let_8 (|tptp.'image$c'| |tptp.'id$a'|))) (let ((_let_9 (|tptp.'fun_app$o'| _let_8 |tptp.'top$'|))) (let ((_let_10 (= _let_9 |tptp.'top$'|))) (let ((_let_11 (= (|tptp.'comp$c'| |tptp.'id$d'|) |tptp.'id$i'|))) (let ((_let_12 (|tptp.'register_tensor$u'| |tptp.'id$a'| |tptp.'id$a'|))) (let ((_let_13 (= _let_12 |tptp.'id$h'|))) (let ((_let_14 (|tptp.'register_tensor$t'| |tptp.'id$a'| |tptp.'id$'|))) (let ((_let_15 (= _let_14 |tptp.'id$g'|))) (let ((_let_16 (|tptp.'register_tensor$s'| |tptp.'id$'| |tptp.'id$a'|))) (let ((_let_17 (= _let_16 |tptp.'id$f'|))) (let ((_let_18 (|tptp.'register_tensor$r'| |tptp.'id$'| |tptp.'id$'|))) (let ((_let_19 (= _let_18 |tptp.'id$e'|))) (let ((_let_20 (= _let_8 |tptp.'id$c'|))) (let ((_let_21 (= _let_5 |tptp.'id$b'|))) (let ((_let_22 (|tptp.'fun_app$i'| (|tptp.'comp$b'| |tptp.'i$'|) |tptp.'j$'|))) (let ((_let_23 (= _let_22 |tptp.'id$a'|))) (let ((_let_24 (|tptp.'fun_app$f'| (|tptp.'comp$a'| |tptp.'j$'|) |tptp.'i$'|))) (let ((_let_25 (= _let_24 |tptp.'id$'|))) (let ((_let_26 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fun_app$b'| A__questionmark_v1 (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v0))))) (let ((_let_27 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v0))))) (let ((_let_28 (|tptp.'inj_on$a'| |tptp.'g$'| |tptp.'top$a'|))) (let ((_let_29 (|tptp.'register$c'| |tptp.'j$'|))) (let ((_let_30 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)) |tptp.'top$'|) |tptp.'top$'|) (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|)) (= (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$a'|))))) (let ((_let_31 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$k'| A__questionmark_v1 (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0))) A__questionmark_v0) A__questionmark_v1))))) (let ((_let_32 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'comp$k'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v0) A__questionmark_v1))))) (let ((_let_33 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$b'| A__questionmark_v0) (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|))))) (let ((_let_34 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$c'| A__questionmark_v0) (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|))))) (let ((_let_35 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v3 (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|)) (= (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3)))) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0)))))) (let ((_let_36 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'image$a'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'image$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))) (let ((_let_37 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|)))))) (let ((_let_38 (|tptp.'collect$b'| |tptp.'top$d'|))) (let ((_let_39 (= |tptp.'top$a'| _let_38))) (let ((_let_40 (|tptp.'collect$a'| |tptp.'top$c'|))) (let ((_let_41 (= |tptp.'top$'| _let_40))) (let ((_let_42 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$a'| A__questionmark_v2 (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$'| (|tptp.'comp$k'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))))) (let ((_let_43 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'member$'| A__questionmark_v1 (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|)) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))))))))) (let ((_let_44 (= (|tptp.'image$'| |tptp.'f$'| |tptp.'top$'|) (|tptp.'image$a'| |tptp.'g$'| |tptp.'top$a'|)))) (let ((_let_45 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$n'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'comp$k'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))) (let ((_let_46 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$j'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2))))) (let ((_let_47 (|tptp.'register$b'| |tptp.'i$'|))) (let ((_let_48 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| |tptp.'i$'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| |tptp.'f$'|) (|tptp.'fun_app$b'| |tptp.'g$'| A__questionmark_v0)))))) (let ((_let_49 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)))))) (let ((_let_50 (|tptp.'comp$'| |tptp.'f$'|))) (let ((_let_51 (|tptp.'fun_app$a'| _let_50 |tptp.'i$'|))) (let ((_let_52 (not (= _let_51 |tptp.'g$'|)))) (let ((_let_53 (|tptp.'comp$k'| |tptp.'g$'| |tptp.'j$'|))) (let ((_let_54 (|tptp.'fun_app$c'| _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706))) (let ((_let_55 (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| _let_38 |tptp.'g$'|) _let_54))) (let ((_let_56 (|tptp.'fun_app$d'| |tptp.'i$'| _let_55))) (let ((_let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_737 _let_56))) (let ((_let_58 (|tptp.'fun_app$c'| _let_53 _let_56))) (let ((_let_59 (= _let_54 _let_58))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_57))) (let ((_let_62 (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'comp$k'| |tptp.'g$'| |tptp.'j$'|))) (or (not (= (|tptp.'fun_app$c'| _let_1 A__questionmark_v3) (|tptp.'fun_app$c'| _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706))) (= A__questionmark_v3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_737)))))) (let ((_let_63 (not _let_62))) (let ((_let_64 (|tptp.'fun_app$c'| _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_737))) (let ((_let_65 (or (not (= _let_54 _let_64)) _let_63))) (let ((_let_66 (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'comp$k'| |tptp.'g$'| |tptp.'j$'|))) (or (not (= (|tptp.'fun_app$c'| _let_1 A__questionmark_v2) (|tptp.'fun_app$c'| _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706))) (not (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'comp$k'| |tptp.'g$'| |tptp.'j$'|))) (or (not (= (|tptp.'fun_app$c'| _let_1 A__questionmark_v3) (|tptp.'fun_app$c'| _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706))) (= A__questionmark_v2 A__questionmark_v3)))))))))) (let ((_let_67 (not _let_65))) (let ((_let_68 (not _let_66))) (let ((_let_69 (|tptp.'image$'| _let_53 _let_40))) (let ((_let_70 (|tptp.'member$'| _let_54 _let_69))) (let ((_let_71 (= _let_70 _let_68))) (let ((_let_72 (|tptp.'inj_on$'| _let_53 _let_40))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'collect$a'| |tptp.'top$c'|))) (or (not (|tptp.'inj_on$'| A__questionmark_v0 _let_1)) (= (not (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (or (not (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2))) (not (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (or (not (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3))) (= A__questionmark_v2 A__questionmark_v3))))))) (|tptp.'member$'| A__questionmark_v1 (|tptp.'image$'| A__questionmark_v0 _let_1)))))))) (let ((_let_76 (ASSUME :args (_let_41)))) (let ((_let_77 (ASSUME :args (_let_39)))) (let ((_let_78 (SYMM (ASSUME :args (_let_25))))) (let ((_let_79 (SYMM (ASSUME :args (_let_23))))) (let ((_let_80 (EQ_RESOLVE (SYMM (ASSUME :args (_let_21))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_79 _let_78 _let_77 _let_76) :args ((= |tptp.'id$b'| _let_5) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (EQ_RESOLVE (SYMM (ASSUME :args (_let_20))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_80 _let_79 _let_78 _let_77 _let_76) :args ((= |tptp.'id$c'| _let_8) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (EQ_RESOLVE (SYMM (ASSUME :args (_let_19))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_81 _let_80 _let_79 _let_78 _let_77 _let_76) :args ((= |tptp.'id$e'| _let_18) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (EQ_RESOLVE (SYMM (ASSUME :args (_let_17))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76) :args ((= |tptp.'id$f'| _let_16) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (EQ_RESOLVE (SYMM (ASSUME :args (_let_15))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76) :args ((= |tptp.'id$g'| _let_14) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (EQ_RESOLVE (SYMM (ASSUME :args (_let_13))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76) :args ((= |tptp.'id$h'| _let_12) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (SYMM (ASSUME :args (_let_11))))) (let ((_let_87 (AND_INTRO (SYMM (ASSUME :args (_let_2))) _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_43)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_87 :args ((forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (or (not (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|)) (= (|tptp.'member$'| A__questionmark_v1 (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|)) (not (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (or (not (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2))) (not (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (or (not (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3))) (= A__questionmark_v2 A__questionmark_v3)))))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_89 (|tptp.'image$f'| |tptp.'j$'| _let_40))) (let ((_let_90 (|tptp.'inj_on$a'| |tptp.'g$'| _let_89))) (let ((_let_91 (not _let_90))) (let ((_let_92 (|tptp.'inj_on$f'| |tptp.'j$'| _let_40))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91 _let_72))) (let ((_let_95 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (or (not (|tptp.'inj_on$f'| A__questionmark_v0 A__questionmark_v1)) (not (|tptp.'inj_on$a'| A__questionmark_v2 (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$'| (|tptp.'comp$k'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (|tptp.'inj_on$a'| |tptp.'g$'| _let_38))) (let ((_let_98 (= _let_38 (|tptp.'fun_app$p'| (|tptp.'image$d'| _let_24) _let_38)))) (let ((_let_99 (= _let_38 _let_89))) (let ((_let_100 (AND_INTRO _let_77 _let_76))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO _let_100 :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (AND_INTRO _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_102 :args ((= |tptp.'top$a'| _let_6) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_104 (|tptp.'inj_on$e'| |tptp.'i$'| _let_38))) (let ((_let_105 (not _let_104))) (let ((_let_106 (= _let_40 (|tptp.'fun_app$o'| (|tptp.'image$c'| _let_22) _let_40)))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105 _let_99))) (let ((_let_109 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'collect$a'| |tptp.'top$c'|))) (let ((_let_2 (|tptp.'collect$b'| |tptp.'top$d'|))) (or (not (= _let_1 (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)) _let_1))) (not (|tptp.'inj_on$e'| A__questionmark_v0 _let_2)) (= _let_2 (|tptp.'image$f'| A__questionmark_v1 _let_1)))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_30)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_100 :args ((forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (= |tptp.'top$'| (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)) |tptp.'top$'|))) (not (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|)) (= |tptp.'top$a'| (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_111 (not _let_47))) (let ((_let_112 (or _let_111 _let_104))) (let ((_let_113 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (or (not (|tptp.'register$b'| A__questionmark_v0)) (|tptp.'inj_on$e'| A__questionmark_v0 (|tptp.'collect$b'| |tptp.'top$d'|)))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_33)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_100 :args ((forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (or (not (|tptp.'register$b'| A__questionmark_v0)) (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_104 (not _let_112)))) (ASSUME :args (_let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (|tptp.'i$'| QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'register$b'| A__questionmark_v0) false))))) :args (_let_113))) _let_114 :args (_let_112 false _let_113)) :args (_let_104 false _let_47 false _let_112)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_105 _let_99 (not _let_108)))) (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_102 :args ((= |tptp.'top$'| _let_9) SB_DEFAULT SBA_FIXPOINT)))) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (|tptp.'i$'| |tptp.'j$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_99 false _let_106 false _let_104 false _let_108)))) (let ((_let_117 (and _let_97 _let_98 _let_99))) (let ((_let_118 (_let_97 _let_98 _let_99))) (let ((_let_119 (APPLY_UF |tptp.'inj_on$a'|))) (let ((_let_120 (SYMM _let_103))) (let ((_let_121 (REFL :args (|tptp.'g$'|)))) (let ((_let_122 (ASSUME :args (_let_99)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (not _let_29))) (let ((_let_125 (or _let_124 _let_92))) (let ((_let_126 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'register$c'| A__questionmark_v0)) (|tptp.'inj_on$f'| A__questionmark_v0 (|tptp.'collect$a'| |tptp.'top$c'|)))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_34)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_100 :args ((forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'register$c'| A__questionmark_v0)) (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_124 _let_92 (not _let_125)))) (ASSUME :args (_let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (|tptp.'j$'| QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'register$c'| A__questionmark_v0) false))))) :args (_let_126))) _let_127 :args (_let_125 false _let_126)) :args (_let_92 false _let_29 false _let_125)))) (let ((_let_129 (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (|tptp.'member$'| (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2) (|tptp.'image$'| A__questionmark_v1 (|tptp.'collect$a'| |tptp.'top$c'|)))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_37)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_100 :args ((forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (|tptp.'member$'| (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2) (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2)))) :args (_let_129))) _let_130 :args (_let_70 false _let_129)))) (let ((_let_132 (not _let_70))) (let ((_let_133 (or))) (let ((_let_134 (_let_68))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 1)) (CONG (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_133)) :args ((or _let_62 _let_65))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_134)) :args _let_134) (REWRITE :args ((=> _let_68 (not (or (not (= _let_64 _let_54)) (not (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'comp$k'| |tptp.'g$'| |tptp.'j$'|))) (or (not (= (|tptp.'fun_app$c'| _let_1 A__questionmark_v3) (|tptp.'fun_app$c'| _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_737 A__questionmark_v3)))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_66))) (REFL :args (_let_67)) :args _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or _let_132 _let_68 (not _let_71)))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_71 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_72 _let_91 (not _let_94)))) _let_128 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_103 _let_122) (SCOPE (TRUE_ELIM (TRANS (CONG _let_121 (TRANS _let_123 _let_103) :args _let_119) (CONG _let_121 _let_120 :args _let_119) (TRUE_INTRO _let_101))) :args _let_118)) :args _let_118)) :args (true _let_117)) _let_116 _let_103 _let_101 :args (_let_90 false _let_99 false _let_98 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (|tptp.'j$'| _let_40 |tptp.'g$'| QUANTIFIERS_INST_E_MATCHING ((not (= (|tptp.'inj_on$a'| A__questionmark_v2 (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1)) false))))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_72 false _let_92 false _let_90 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_53 _let_54 QUANTIFIERS_INST_E_MATCHING ((|tptp.'member$'| A__questionmark_v1 (|tptp.'image$'| A__questionmark_v0 _let_40))))) :args (_let_75)))) _let_88 :args (_let_74 false _let_75)) :args (_let_71 false _let_72 false _let_74)) :args (_let_68 false _let_70 false _let_71)) :args (_let_67 true _let_66)) :args (_let_62 true _let_65)))) (let ((_let_136 (_let_62))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 (|tptp.'fun_app$b'| |tptp.'g$'| _let_55))) (let ((_let_139 (|tptp.'inv_into$'| _let_40 |tptp.'f$'|))) (let ((_let_140 (= _let_56 (|tptp.'fun_app$l'| _let_139 _let_138)))) (let ((_let_141 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_737))) (let ((_let_142 (= _let_54 _let_138))) (let ((_let_143 (|tptp.'fun_app$l'| _let_139 _let_54))) (let ((_let_144 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706 _let_143))) (let ((_let_145 (not _let_57))) (let ((_let_146 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| |tptp.'i$'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'inv_into$'| (|tptp.'collect$a'| |tptp.'top$c'|) |tptp.'f$'|) (|tptp.'fun_app$b'| |tptp.'g$'| A__questionmark_v0)))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO _let_87 :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (|tptp.'image$a'| |tptp.'g$'| _let_38))) (let ((_let_149 (|tptp.'member$'| _let_54 _let_148))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_142))) (let ((_let_152 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (or (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2))) (= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0))))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (|tptp.'image$'| |tptp.'f$'| _let_40))) (let ((_let_155 (= _let_148 _let_154))) (let ((_let_156 (= (|tptp.'image$a'| |tptp.'g$'| _let_89) _let_69))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO _let_87 :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (_let_36))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (|tptp.'g$'| |tptp.'j$'| _let_40 QUANTIFIERS_INST_E_MATCHING ((|tptp.'image$a'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 A__questionmark_v2))))) :args _let_158)) _let_159 :args (_let_156 false _let_36)))) (let ((_let_161 (not _let_156))) (let ((_let_162 (not _let_99))) (let ((_let_163 (not _let_98))) (let ((_let_164 (not _let_155))) (let ((_let_165 (and _let_98 _let_155 _let_99 _let_156 _let_70))) (let ((_let_166 (true _let_165))) (let ((_let_167 (_let_98 _let_155 _let_99 _let_156 _let_70))) (let ((_let_168 (_let_70 _let_156 _let_99 _let_98 _let_155))) (let ((_let_169 (ASSUME :args (_let_70)))) (let ((_let_170 (TRUE_INTRO _let_169))) (let ((_let_171 (APPLY_UF |tptp.'member$'|))) (let ((_let_172 (ASSUME :args (_let_156)))) (let ((_let_173 (APPLY_UF |tptp.'image$a'|))) (let ((_let_174 (REFL :args (_let_54)))) (let ((_let_175 (CONG _let_174 (TRANS (SYMM _let_157) (CONG _let_121 _let_103 :args _let_173) (CONG _let_121 (TRANS _let_120 (SYMM _let_123)) :args _let_173) (SYMM (SYMM _let_172))) :args _let_171))) (let ((_let_176 (AND_INTRO _let_169 _let_172 _let_122 _let_103 _let_157))) (let ((_let_177 (CNF_AND_NEG :args (_let_165)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_150 _let_142 (not _let_151)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_177 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_176 (SCOPE (TRUE_ELIM (TRANS (CONG _let_174 _let_157 :args _let_171) _let_175 _let_170)) :args _let_168)) :args _let_167)) :args _let_166) :args ((or _let_164 _let_163 _let_162 _let_161 _let_132 _let_149))) _let_131 _let_160 _let_116 _let_103 _let_157 :args (_let_149 false _let_70 false _let_156 false _let_99 false _let_98 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_54 |tptp.'g$'| _let_38 QUANTIFIERS_INST_E_MATCHING ((not (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2)) false))))) :args (_let_152))) _let_153 :args (_let_151 false _let_152)) :args (_let_142 false _let_149 false _let_151)))) (let ((_let_179 (= (|tptp.'fun_app$c'| |tptp.'f$'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706) _let_54))) (let ((_let_180 (= _let_54 (|tptp.'fun_app$c'| |tptp.'f$'| _let_143)))) (let ((_let_181 (not _let_144))) (let ((_let_182 (or (not (|tptp.'member$a'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706 (|tptp.'image$e'| |tptp.'i$'| _let_38))) _let_179))) (let ((_let_183 (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (or (not (|tptp.'member$a'| A__questionmark_v3 (|tptp.'image$e'| |tptp.'i$'| (|tptp.'collect$b'| |tptp.'top$d'|)))) (= (|tptp.'fun_app$c'| |tptp.'f$'| A__questionmark_v3) (|tptp.'fun_app$c'| (|tptp.'comp$k'| |tptp.'g$'| |tptp.'j$'|) A__questionmark_v3)))))) (let ((_let_184 (not _let_182))) (let ((_let_185 (|tptp.'fun_app$a'| (|tptp.'comp$'| _let_53) |tptp.'i$'|))) (let ((_let_186 (= _let_51 _let_185))) (let ((_let_187 (not _let_183))) (let ((_let_188 (or _let_187 _let_186))) (let ((_let_189 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (or (not (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (or (not (|tptp.'member$a'| A__questionmark_v3 (|tptp.'image$e'| A__questionmark_v0 (|tptp.'collect$b'| |tptp.'top$d'|)))) (= (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))))) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0)))))) (let ((_let_190 (EQ_RESOLVE (ASSUME :args (_let_35)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_100 :args ((forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (or (not (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (or (not (|tptp.'member$a'| A__questionmark_v3 (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|))) (= (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))))) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_191 (= |tptp.'g$'| _let_51))) (let ((_let_192 (|tptp.'inv_into$b'| _let_40 |tptp.'j$'|))) (let ((_let_193 (= |tptp.'i$'| _let_192))) (let ((_let_194 (|tptp.'inv_into$c'| _let_38 |tptp.'i$'|))) (let ((_let_195 (= |tptp.'j$'| _let_194))) (let ((_let_196 (= (|tptp.'comp$j'| |tptp.'g$'| _let_24) _let_185))) (let ((_let_197 (|tptp.'comp$k'| _let_51 |tptp.'j$'|))) (let ((_let_198 (= (|tptp.'comp$n'| |tptp.'f$'| _let_22) _let_197))) (let ((_let_199 (= |tptp.'f$'| (|tptp.'comp$k'| (|tptp.'fun_app$a'| _let_50 _let_192) |tptp.'j$'|)))) (let ((_let_200 (= (|tptp.'comp$j'| _let_51 _let_24) (|tptp.'fun_app$a'| (|tptp.'comp$'| _let_197) |tptp.'i$'|)))) (let ((_let_201 (= |tptp.'g$'| (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$k'| |tptp.'g$'| _let_194)) |tptp.'i$'|)))) (let ((_let_202 (not _let_186))) (let ((_let_203 (SYMM (ASSUME :args (_let_52))))) (let ((_let_204 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (or (not (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| |tptp.'j$'|) |tptp.'i$'|) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1))) (not (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| |tptp.'i$'|) |tptp.'j$'|) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0))) (= A__questionmark_v1 (|tptp.'inv_into$b'| (|tptp.'collect$a'| |tptp.'top$c'|) A__questionmark_v0)))))) (let ((_let_205 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_102 :args ((forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (or (not (= |tptp.'id$'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1))) (not (= |tptp.'id$a'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0))) (= A__questionmark_v1 (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_206 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| |tptp.'i$'|) |tptp.'j$'|) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1))) (not (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| |tptp.'j$'|) |tptp.'i$'|) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0))) (= A__questionmark_v1 (|tptp.'inv_into$c'| (|tptp.'collect$b'| |tptp.'top$d'|) A__questionmark_v0)))))) (let ((_let_207 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_102 :args ((forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (= |tptp.'id$a'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1))) (not (= |tptp.'id$'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0))) (= A__questionmark_v1 (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_207 :args (|tptp.'i$'| |tptp.'j$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)))) :args (_let_206)))) _let_207 :args (_let_195 false _let_206)))) (let ((_let_209 (_let_46))) (let ((_let_210 (ASSUME :args _let_209))) (let ((_let_211 (_let_45))) (let ((_let_212 (ASSUME :args _let_211))) (let ((_let_213 (or _let_93 _let_199))) (let ((_let_214 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'collect$a'| |tptp.'top$c'|))) (or (not (|tptp.'inj_on$f'| A__questionmark_v0 _let_1)) (= A__questionmark_v1 (|tptp.'comp$k'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) (|tptp.'inv_into$b'| _let_1 A__questionmark_v0)) A__questionmark_v0))))))) (let ((_let_215 (EQ_RESOLVE (ASSUME :args (_let_32)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_100 :args ((forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (or (not (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|)) (= A__questionmark_v1 (|tptp.'comp$k'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v0)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_216 (or _let_105 _let_201))) (let ((_let_217 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'collect$b'| |tptp.'top$d'|))) (or (not (|tptp.'inj_on$e'| A__questionmark_v0 _let_1)) (= A__questionmark_v1 (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$k'| A__questionmark_v1 (|tptp.'inv_into$c'| _let_1 A__questionmark_v0))) A__questionmark_v0))))))) (let ((_let_218 (EQ_RESOLVE (ASSUME :args (_let_31)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_100 :args ((forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (or (not (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|)) (= A__questionmark_v1 (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$k'| A__questionmark_v1 (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0))) A__questionmark_v0)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_105 _let_201 (not _let_216)))) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (|tptp.'i$'| |tptp.'g$'| QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_217))) _let_218 :args (_let_216 false _let_217)) :args (_let_201 false _let_104 false _let_216)))) (let ((_let_220 (not _let_191))) (let ((_let_221 (and _let_220 _let_193 _let_195 _let_196 _let_198 _let_199 _let_200 _let_201))) (let ((_let_222 (=))) (let ((_let_223 (APPLY_UF |tptp.'fun_app$a'|))) (let ((_let_224 (ASSUME :args (_let_193)))) (let ((_let_225 (CONG (REFL :args (_let_50)) (SYMM _let_224) :args _let_223))) (let ((_let_226 (APPLY_UF |tptp.'comp$'|))) (let ((_let_227 (ASSUME :args (_let_199)))) (let ((_let_228 (APPLY_UF |tptp.'comp$k'|))) (let ((_let_229 (ASSUME :args (_let_198)))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (ASSUME :args (_let_200)))) (let ((_let_232 (TRANS (SYMM (SYMM _let_231)) (CONG (TRANS (CONG _let_230 :args _let_226) (CONG (TRANS (SYMM _let_230) (CONG (SYMM _let_225) (REFL :args (|tptp.'j$'|)) :args _let_228) (SYMM _let_227)) :args _let_226)) _let_224 :args _let_223) _let_225))) (let ((_let_233 (ASSUME :args (_let_201)))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (REFL :args (|tptp.'i$'|)))) (let ((_let_236 (ASSUME :args (_let_195)))) (let ((_let_237 (SYMM _let_236))) (let ((_let_238 (ASSUME :args (_let_196)))) (let ((_let_239 (_let_187))) (let ((_let_240 (|tptp.'member$'| _let_54 _let_154))) (let ((_let_241 (not _let_240))) (let ((_let_242 (or _let_241 _let_180))) (let ((_let_243 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (or (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2))) (= A__questionmark_v0 (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0))))))) (let ((_let_244 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_245 (and _let_180 _let_144))) (let ((_let_246 (_let_180 _let_144))) (let ((_let_247 (ASSUME :args (_let_180)))) (let ((_let_248 (ASSUME :args (_let_144)))) (let ((_let_249 (and _let_181 _let_142 _let_141 _let_140))) (let ((_let_250 (ASSUME :args (_let_181)))) (let ((_let_251 (ASSUME :args (_let_142)))) (let ((_let_252 (SYMM (SYMM _let_251)))) (let ((_let_253 (ASSUME :args (_let_140)))) (let ((_let_254 (ASSUME :args (_let_141)))) (let ((_let_255 (= (|tptp.'fun_app$b'| _let_185 _let_55) _let_58))) (let ((_let_256 (_let_49))) (let ((_let_257 (ASSUME :args _let_256))) (let ((_let_258 (and _let_195 _let_201 _let_142 _let_255))) (let ((_let_259 (ASSUME :args (_let_255)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_57 (not _let_61)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_258)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_259 _let_236 _let_233 _let_251) (SCOPE (TRANS _let_252 (CONG (TRANS (SYMM _let_234) (CONG (CONG (CONG _let_121 _let_237 :args _let_228) :args _let_226) _let_235 :args _let_223)) (REFL :args (_let_55)) :args (APPLY_UF |tptp.'fun_app$b'|)) (SYMM (SYMM _let_259))) :args (_let_255 _let_195 _let_201 _let_142))) :args (_let_195 _let_201 _let_142 _let_255))) :args (true _let_258)) _let_208 _let_219 _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_257 :args (_let_53 |tptp.'i$'| _let_55 QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)))) :args _let_256)) _let_257 :args (_let_255 false _let_49)) :args (_let_59 false _let_195 false _let_201 false _let_142 false _let_255)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_249)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_254 _let_250 _let_251 _let_253) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_254) (TRANS (SYMM (SYMM _let_253)) (CONG (REFL :args (_let_139)) (SYMM _let_252) :args (APPLY_UF |tptp.'fun_app$l'|))) :args _let_222) (FALSE_INTRO _let_250))) :args (_let_141 _let_181 _let_142 _let_140))) :args (_let_181 _let_142 _let_141 _let_140))) :args (true _let_249)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_181) _let_144))) (REFL :args ((not _let_142))) (REFL :args ((not _let_141))) (REFL :args ((not _let_140))) (REFL :args (_let_145)) :args _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_245)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_247 _let_248) (SCOPE (TRANS (CONG (REFL :args (|tptp.'f$'|)) (SYMM (SYMM _let_248)) :args (APPLY_UF |tptp.'fun_app$c'|)) (SYMM _let_247)) :args _let_246)) :args _let_246)) :args (true _let_245)) :args ((or _let_179 (not _let_180) _let_181))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_180 _let_241 (not _let_242)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_177 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_176 (SCOPE (TRUE_ELIM (TRANS _let_175 _let_170)) :args _let_168)) :args _let_167)) :args _let_166) :args ((or _let_164 _let_163 _let_162 _let_161 _let_132 _let_240))) _let_131 _let_160 _let_116 _let_103 _let_157 :args (_let_240 false _let_70 false _let_156 false _let_99 false _let_98 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_244 :args (_let_54 |tptp.'f$'| _let_40 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_243))) _let_244 :args (_let_242 false _let_243)) :args (_let_180 false _let_240 false _let_242)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_182 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_239)) :args _let_239)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_187) _let_183))) (REFL :args (_let_184)) :args _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_188)) :args ((or _let_187 _let_186 (not _let_188)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_221)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_238 _let_203 _let_233 _let_236 _let_224 _let_227 _let_229 _let_231) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (SYMM _let_238) (SYMM _let_232) :args _let_222) (TRANS (CONG (TRANS _let_238 (CONG (CONG (CONG _let_121 (SYMM _let_237) :args _let_228) :args _let_226) _let_235 :args _let_223) _let_234) _let_232 :args _let_222) (FALSE_INTRO _let_203))) :args ((= _let_186 false)))) :args (_let_196 _let_220 _let_201 _let_195 _let_193 _let_199 _let_198 _let_200))) :args (_let_220 _let_193 _let_195 _let_196 _let_198 _let_199 _let_200 _let_201))) :args (true _let_221)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_220) _let_191))) (REFL :args ((not _let_193))) (REFL :args ((not _let_195))) (REFL :args ((not _let_196))) (REFL :args ((not _let_198))) (REFL :args ((not _let_199))) (REFL :args ((not _let_200))) (REFL :args ((not _let_201))) (REFL :args (_let_202)) :args _let_133)) _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args (_let_51 |tptp.'j$'| |tptp.'i$'| QUANTIFIERS_INST_CBQI_PROP)) :args _let_209)) _let_210 :args (_let_200 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_93 _let_199 (not _let_213)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (|tptp.'j$'| |tptp.'f$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) (|tptp.'inv_into$b'| _let_40 A__questionmark_v0))))) :args (_let_214))) _let_215 :args (_let_213 false _let_214)) :args (_let_199 false _let_92 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (|tptp.'f$'| |tptp.'i$'| |tptp.'j$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'comp$n'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2))))) :args _let_211)) _let_212 :args (_let_198 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args (|tptp.'g$'| |tptp.'j$'| |tptp.'i$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'comp$j'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2))))) :args _let_209)) _let_210 :args (_let_196 false _let_46)) _let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_205 :args (|tptp.'j$'| |tptp.'i$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1)))) :args (_let_204)))) _let_205 :args (_let_193 false _let_204)) _let_203 :args (_let_202 false _let_201 false _let_200 false _let_199 false _let_198 false _let_196 false _let_195 false _let_193 true _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (|tptp.'i$'| |tptp.'f$'| _let_53 QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'comp$'| A__questionmark_v2)))) :args (_let_189))) _let_190 :args (_let_188 false _let_189)) :args (_let_187 true _let_186 false _let_188)) :args (_let_184 true _let_183)) :args ((not _let_179) true _let_182)) :args (_let_181 false _let_180 true _let_179)) _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_706 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_136))) _let_135 :args (_let_141 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'fun_app$b'| |tptp.'g$'| A__questionmark_v0)))) :args (_let_146))) _let_147 :args (_let_140 false _let_146)) :args (_let_145 true _let_144 false _let_142 false _let_141 false _let_140)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_56 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_136))) _let_135 :args (_let_61 false _let_62)) :args (false false _let_59 true _let_57 false _let_61)) :args ((forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0))) _let_52 (|tptp.'register$'| |tptp.'g$'|) (|tptp.'register$a'| |tptp.'f$'|) (|tptp.'iso_register$'| |tptp.'i$'|) _let_49 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)))) _let_48 _let_47 (|tptp.'clinear$'| |tptp.'f$'|) (|tptp.'clinear$a'| |tptp.'g$'|) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| |tptp.'i$'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| |tptp.'f$'|) (|tptp.'fun_app$b'| |tptp.'g$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$d'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$f'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$h'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'comp$i'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) _let_46 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$l'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2))) _let_45 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$o'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'comp$m'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$p'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$'| A__questionmark_v0))) (= (|tptp.'fun_app$a'| _let_1 (|tptp.'comp$h'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'comp$j'| (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$k'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$n'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$'| A__questionmark_v0))) (= (|tptp.'comp$j'| (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$a'| _let_1 (|tptp.'comp$h'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$m'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$o'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$a'| A__questionmark_v0))) (= (|tptp.'comp$l'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$f'| _let_1 (|tptp.'comp$h'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$i'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$h'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$b'| A__questionmark_v0))) (= (|tptp.'comp$p'| (|tptp.'fun_app$i'| _let_1 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| _let_1 (|tptp.'comp$o'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'comp$d'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'comp$j'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$d'| A__questionmark_v3 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$g'| A__questionmark_v2 (|tptp.'fun_app$d'| A__questionmark_v3 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$d'| A__questionmark_v2 (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|) (A__questionmark_v4 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$j'| A__questionmark_v2 (|tptp.'fun_app$j'| A__questionmark_v3 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v3)) (=> (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$d'| A__questionmark_v3 A__questionmark_v4)))) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v3)) (=> (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$g'| A__questionmark_v2 (|tptp.'fun_app$d'| A__questionmark_v3 A__questionmark_v4)))) false)) false)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v3)) (=> (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$d'| A__questionmark_v2 (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v4)))) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|)) (=> (and (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v3)) (=> (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$j'| A__questionmark_v2 (|tptp.'fun_app$j'| A__questionmark_v3 A__questionmark_v4)))) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$e'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$'| (|tptp.'fun_app$b'| |tptp.'g$'| A__questionmark_v0) (|tptp.'image$'| |tptp.'f$'| |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$a'| A__questionmark_v0) (|tptp.'iso_register$b'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$c'| A__questionmark_v0) (|tptp.'iso_register$d'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$e'| A__questionmark_v0) (|tptp.'iso_register$'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$e'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)))) (|tptp.'inj_on$'| |tptp.'f$'| |tptp.'top$'|) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$b'| A__questionmark_v0) (|tptp.'clinear$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$c'| A__questionmark_v0) (|tptp.'clinear$c'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (|tptp.'clinear$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (|tptp.'clinear$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$a'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$c'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$e'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$f'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$g'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$'| (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$e'| A__questionmark_v1)) (|tptp.'iso_register$g'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$f'| A__questionmark_v1)) (|tptp.'iso_register$'| (|tptp.'comp$h'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$b'|)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$a'|)) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'member$'| A__questionmark_v0 |tptp.'top$b'|) true)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$'|) true)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$a'|) true)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$c'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$a'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$e'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$'| (|tptp.'comp$j'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$a'| (|tptp.'comp$n'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1)) (|tptp.'register$b'| (|tptp.'comp$h'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v1)) (|tptp.'register$c'| (|tptp.'comp$o'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$f'| A__questionmark_v1)) (|tptp.'register$'| (|tptp.'comp$d'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$g'| A__questionmark_v1)) (|tptp.'register$b'| (|tptp.'comp$q'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$f'| A__questionmark_v1)) (|tptp.'register$a'| (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$h'| A__questionmark_v1)) (|tptp.'register$c'| (|tptp.'comp$g'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'register$b'| (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$b'| A__questionmark_v0) (|tptp.'clinear$c'| A__questionmark_v1)) (|tptp.'clinear$d'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$c'| A__questionmark_v0) (|tptp.'clinear$b'| A__questionmark_v1)) (|tptp.'clinear$e'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$e'| A__questionmark_v0) (|tptp.'clinear$'| A__questionmark_v1)) (|tptp.'clinear$'| (|tptp.'comp$n'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$b'| A__questionmark_v0) (|tptp.'clinear$'| A__questionmark_v1)) (|tptp.'clinear$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$c'| A__questionmark_v0) (|tptp.'clinear$a'| A__questionmark_v1)) (|tptp.'clinear$'| (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$d'| A__questionmark_v0) (|tptp.'clinear$a'| A__questionmark_v1)) (|tptp.'clinear$a'| (|tptp.'comp$j'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$'| A__questionmark_v0) (|tptp.'clinear$f'| A__questionmark_v1)) (|tptp.'clinear$'| (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$a'| A__questionmark_v0) (|tptp.'clinear$f'| A__questionmark_v1)) (|tptp.'clinear$a'| (|tptp.'comp$d'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$b'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| |tptp.'j$'| A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| |tptp.'g$'|) (|tptp.'fun_app$c'| |tptp.'f$'| A__questionmark_v0)))) _let_44 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3)) (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1)) (= A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1)) (= A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v0) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3))) (= A__questionmark_v2 A__questionmark_v3))) (|tptp.'inj_on$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v0) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3))) (= A__questionmark_v2 A__questionmark_v3))) (|tptp.'inj_on$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3))) (= A__questionmark_v2 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3))) (= A__questionmark_v2 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3)))) (= (|tptp.'inj_on$'| A__questionmark_v1 A__questionmark_v0) (|tptp.'inj_on$'| A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)))) (= (|tptp.'inj_on$a'| A__questionmark_v1 A__questionmark_v0) (|tptp.'inj_on$a'| A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1)) (= (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1)) (= (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1)) (not (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1)) (not (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$l'| A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3)) A__questionmark_v3))) (|tptp.'inj_on$'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$n'| A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)) A__questionmark_v3))) (|tptp.'inj_on$a'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v0) (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v4 A__questionmark_v0) (= (= (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v4))) (= (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v4))))))) (|tptp.'inj_on$b'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'inj_on$'| A__questionmark_v1 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'inj_on$'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v0) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v0) (= (= (|tptp.'fun_app$b'| A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$b'| A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v2 A__questionmark_v4))) (= (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4))))))) (|tptp.'inj_on$c'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'inj_on$a'| A__questionmark_v1 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'inj_on$a'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'member$'| A__questionmark_v2 (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$b'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'member$'| A__questionmark_v2 (|tptp.'image$a'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$m'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'member$'| A__questionmark_v2 (|tptp.'image$b'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v4 A__questionmark_v1) (= (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'image$'| A__questionmark_v2 A__questionmark_v0) (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$b'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v0) (|tptp.'image$a'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (and (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (and (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (and (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (and (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (and (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (and (|tptp.'member$'| A__questionmark_v3 A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (and (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (and (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$b'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (and (|tptp.'member$'| A__questionmark_v3 A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v0) (|tptp.'image$'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0) (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v0) (|tptp.'image$b'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$d'| A__questionmark_v0 |tptp.'top$b'|) (= (|tptp.'member$'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$b'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'member$'| (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'member$'| (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (= (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (= (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_bool_fun$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (= (|tptp.'collect$'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)) _let_43 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'member$'| A__questionmark_v1 (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$f'| A__questionmark_v2 (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'inj_on$c'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$e'| A__questionmark_v2 (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'inj_on$b'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'inj_on$g'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$g'| A__questionmark_v2 (|tptp.'image$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'inj_on$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$b'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$'| A__questionmark_v2 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'inj_on$'| (|tptp.'comp$n'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$'| A__questionmark_v2 (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'inj_on$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$a'| A__questionmark_v2 (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'inj_on$'| (|tptp.'comp$k'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$c'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$a'| A__questionmark_v2 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'inj_on$a'| (|tptp.'comp$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$d'| A__questionmark_v2 (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'inj_on$'| (|tptp.'comp$e'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'inj_on$d'| A__questionmark_v2 (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'inj_on$a'| (|tptp.'comp$d'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$c'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$f'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$b'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$e'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (|tptp.'inj_on$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$g'| A__questionmark_v0 (|tptp.'image$g'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$d'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$'| (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$a'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$d'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$f'| A__questionmark_v2 (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$c'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$e'| A__questionmark_v2 (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$b'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|)) (=> (and (|tptp.'inj_on$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$g'| A__questionmark_v2 (|tptp.'image$g'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$'| A__questionmark_v2 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) A__questionmark_v1))) (|tptp.'inj_on$'| (|tptp.'comp$n'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$'| A__questionmark_v2 (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) _let_42 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$a'| A__questionmark_v2 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) A__questionmark_v1))) (|tptp.'inj_on$a'| (|tptp.'comp$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$d'| A__questionmark_v2 (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$'| (|tptp.'comp$e'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'inj_on$d'| A__questionmark_v2 (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'inj_on$a'| (|tptp.'comp$d'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) _let_41 _let_39 _let_37 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 |tptp.'top$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (|tptp.'member$'| (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$'| (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'inj_on$g'| A__questionmark_v0 |tptp.'top$e'|) (|tptp.'inj_on$h'| (|tptp.'comp$c'| A__questionmark_v0) |tptp.'top$f'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (|tptp.'inj_on$i'| (|tptp.'comp$a'| A__questionmark_v0) |tptp.'top$g'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (|tptp.'inj_on$j'| (|tptp.'comp$'| A__questionmark_v0) |tptp.'top$g'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (|tptp.'inj_on$k'| (|tptp.'comp$b'| A__questionmark_v0) |tptp.'top$h'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$c'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$e'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$b'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$f'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (|tptp.'inj_on$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$g'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$e'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'inj_on$a'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (forall ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (forall ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'image$f'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'image$e'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (= (|tptp.'image$g'| A__questionmark_v0 (|tptp.'image$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'image$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'image$b'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'image$b'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'image$'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'image$'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'image$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) _let_36 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'image$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'image$a'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$a'| A__questionmark_v4))) (=> (= (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v2)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$b'| A__questionmark_v4))) (=> (= (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$f'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| _let_1 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| _let_1 A__questionmark_v2)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_set$'|) (A__questionmark_v4 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v4))) (=> (= (|tptp.'image$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$g'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'image$g'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v0) A__questionmark_v1) (|tptp.'image$g'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v4 A__questionmark_v0) A__questionmark_v1) (|tptp.'image$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v4) A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'image$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v4) A__questionmark_v0) A__questionmark_v1) (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$'| A__questionmark_v4))) (=> (= (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'image$a'| (|tptp.'fun_app$a'| _let_1 A__questionmark_v0) A__questionmark_v1) (|tptp.'image$a'| (|tptp.'fun_app$a'| _let_1 A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v4 A__questionmark_v0) A__questionmark_v1) (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v4 A__questionmark_v0) A__questionmark_v1) (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v4 A__questionmark_v0) A__questionmark_v1) (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v4 A__questionmark_v0) A__questionmark_v1) (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (and (|tptp.'inj_on$g'| A__questionmark_v0 |tptp.'top$e'|) (|tptp.'inj_on$g'| A__questionmark_v1 |tptp.'top$e'|)) (|tptp.'inj_on$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'top$e'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$d'| A__questionmark_v0 |tptp.'top$b'|) (|tptp.'inj_on$'| A__questionmark_v1 |tptp.'top$'|)) (|tptp.'inj_on$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$d'| A__questionmark_v0 |tptp.'top$b'|) (|tptp.'inj_on$a'| A__questionmark_v1 |tptp.'top$a'|)) (|tptp.'inj_on$a'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (|tptp.'inj_on$b'| A__questionmark_v1 |tptp.'top$'|)) (|tptp.'inj_on$'| (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (|tptp.'inj_on$e'| A__questionmark_v1 |tptp.'top$a'|)) (|tptp.'inj_on$c'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (|tptp.'inj_on$e'| A__questionmark_v1 |tptp.'top$a'|)) (|tptp.'inj_on$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (|tptp.'inj_on$f'| A__questionmark_v1 |tptp.'top$'|)) (|tptp.'inj_on$b'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (|tptp.'inj_on$f'| A__questionmark_v1 |tptp.'top$'|)) (|tptp.'inj_on$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (|tptp.'inj_on$c'| A__questionmark_v1 |tptp.'top$a'|)) (|tptp.'inj_on$a'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (and (= (|tptp.'image$g'| A__questionmark_v0 |tptp.'top$e'|) |tptp.'top$e'|) (= (|tptp.'image$g'| A__questionmark_v1 |tptp.'top$e'|) |tptp.'top$e'|)) (= (|tptp.'image$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v0) |tptp.'top$e'|) |tptp.'top$e'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (= (|tptp.'image$b'| A__questionmark_v1 |tptp.'top$b'|) |tptp.'top$b'|)) (= (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (= (|tptp.'image$h'| A__questionmark_v1 |tptp.'top$b'|) |tptp.'top$'|)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'comp$r'| A__questionmark_v1 A__questionmark_v0)) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (= (|tptp.'image$i'| A__questionmark_v1 |tptp.'top$b'|) |tptp.'top$a'|)) (= (|tptp.'image$f'| (|tptp.'comp$g'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$b'|)) (= (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) |tptp.'top$'|) |tptp.'top$'|)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'comp$p'| A__questionmark_v1 A__questionmark_v0)) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$a'|)) (= (|tptp.'image$f'| (|tptp.'comp$o'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'image$a'| A__questionmark_v1 |tptp.'top$a'|) |tptp.'top$b'|)) (= (|tptp.'image$'| (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'image$e'| A__questionmark_v1 |tptp.'top$a'|) |tptp.'top$'|)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0)) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v1) |tptp.'top$a'|) |tptp.'top$a'|)) (= (|tptp.'image$f'| (|tptp.'comp$m'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v4 (|tptp.'image$g'| A__questionmark_v0 |tptp.'top$e'|)) (|tptp.'member$c'| A__questionmark_v5 (|tptp.'image$g'| A__questionmark_v1 |tptp.'top$e'|)) (= (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v3 A__questionmark_v5))) (= A__questionmark_v4 A__questionmark_v5))) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v3) A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v4 (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|)) (|tptp.'member$b'| A__questionmark_v5 (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$d'| A__questionmark_v3 A__questionmark_v5))) (= A__questionmark_v4 A__questionmark_v5))) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v3) A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v4 (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|)) (|tptp.'member$a'| A__questionmark_v5 (|tptp.'image$e'| A__questionmark_v1 |tptp.'top$a'|)) (= (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v5))) (= A__questionmark_v4 A__questionmark_v5))) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v3) A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v4 (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|)) (|tptp.'member$a'| A__questionmark_v5 (|tptp.'image$e'| A__questionmark_v1 |tptp.'top$a'|)) (= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v5))) (= A__questionmark_v4 A__questionmark_v5))) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v3) A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v3 (|tptp.'image$g'| A__questionmark_v0 |tptp.'top$e'|)) (= (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3)))) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$d'| A__questionmark_v2 A__questionmark_v3)))) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v0)))) _let_35 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v3 (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|)) (= (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v3)))) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v4 (|tptp.'image$g'| A__questionmark_v1 |tptp.'top$e'|)) (= (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v4 (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$d'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v4 (|tptp.'image$e'| A__questionmark_v1 |tptp.'top$a'|)) (= (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v4 (|tptp.'image$e'| A__questionmark_v1 |tptp.'top$a'|)) (= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (= (|tptp.'image$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'top$e'|) (|tptp.'image$g'| A__questionmark_v0 (|tptp.'image$g'| A__questionmark_v1 |tptp.'top$e'|)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)) |tptp.'top$'|) (|tptp.'image$e'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) (|tptp.'image$b'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) (|tptp.'image$'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) |tptp.'top$'|)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'image$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) (|tptp.'image$a'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1)) |tptp.'top$a'|) (|tptp.'image$f'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 |tptp.'top$a'|)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$a'|) (|tptp.'image$b'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 |tptp.'top$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'image$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) |tptp.'top$a'|) (|tptp.'image$'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 |tptp.'top$a'|)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'image$a'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$a'|) (|tptp.'image$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v1) |tptp.'top$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|))) _let_34 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|))) _let_33 (exists ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$b'|)) (exists ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$'|)) (exists ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$a'|)) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$b'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'inj_on$g'| A__questionmark_v0 |tptp.'top$e'|) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) (|tptp.'inv_into$d'| |tptp.'top$e'| A__questionmark_v0))) A__questionmark_v0) A__questionmark_v1))) _let_32 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'comp$m'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'comp$i'| A__questionmark_v1 (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0))) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'comp$i'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v0) A__questionmark_v1))) _let_31 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$m'| A__questionmark_v1 (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0))) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v1)) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v1)) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$h'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$f'| A__questionmark_v0 _let_1) (|tptp.'inj_on$l'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$b'| A__questionmark_v3 (|tptp.'image$f'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$b'| (|tptp.'inv_into$e'| A__questionmark_v2 (|tptp.'comp$s'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'inv_into$f'| A__questionmark_v2 A__questionmark_v1)) (|tptp.'inv_into$b'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$f'| A__questionmark_v0 _let_1) (|tptp.'inj_on$e'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$b'| A__questionmark_v3 (|tptp.'image$f'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$e'| (|tptp.'inv_into$g'| A__questionmark_v2 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'inv_into$c'| A__questionmark_v2 A__questionmark_v1)) (|tptp.'inv_into$b'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$f'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$e'| A__questionmark_v0 _let_1) (|tptp.'inj_on$f'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$a'| A__questionmark_v3 (|tptp.'image$e'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$h'| (|tptp.'inv_into$h'| A__questionmark_v2 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$h'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'inv_into$b'| A__questionmark_v2 A__questionmark_v1)) (|tptp.'inv_into$c'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'image$g'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$g'| A__questionmark_v0 _let_1) (|tptp.'inj_on$g'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$c'| A__questionmark_v3 (|tptp.'image$g'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$j'| (|tptp.'inv_into$d'| A__questionmark_v2 (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'inv_into$d'| A__questionmark_v2 A__questionmark_v1)) (|tptp.'inv_into$d'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) A__questionmark_v2))) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 _let_1) (|tptp.'inj_on$b'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v2 (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$l'| (|tptp.'comp$t'| (|tptp.'inv_into$h'| A__questionmark_v2 A__questionmark_v1) (|tptp.'inv_into$'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$f'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 _let_1) (|tptp.'inj_on$f'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$a'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v2 (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$l'| (|tptp.'comp$u'| (|tptp.'inv_into$b'| A__questionmark_v2 A__questionmark_v1) (|tptp.'inv_into$a'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$d'| A__questionmark_v0 _let_1) (|tptp.'inj_on$'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$b'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v2 (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$l'| (|tptp.'comp$v'| (|tptp.'inv_into$'| A__questionmark_v2 A__questionmark_v1) (|tptp.'inv_into$i'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 _let_1) (|tptp.'inj_on$e'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v2 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$n'| (|tptp.'comp$s'| (|tptp.'inv_into$c'| A__questionmark_v2 A__questionmark_v1) (|tptp.'inv_into$'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v1) A__questionmark_v2))) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 _let_1) (|tptp.'inj_on$c'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$a'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v2 (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$n'| (|tptp.'comp$w'| (|tptp.'inv_into$g'| A__questionmark_v2 A__questionmark_v1) (|tptp.'inv_into$a'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'inj_on$d'| A__questionmark_v0 _let_1) (|tptp.'inj_on$a'| A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$b'| A__questionmark_v0 _let_1))) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v2 (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3) (|tptp.'fun_app$n'| (|tptp.'comp$x'| (|tptp.'inv_into$a'| A__questionmark_v2 A__questionmark_v1) (|tptp.'inv_into$i'| _let_1 A__questionmark_v0)) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$h'| A__questionmark_v0 |tptp.'top$b'|) |tptp.'top$'|) (|tptp.'inj_on$'| (|tptp.'inv_into$f'| |tptp.'top$b'| A__questionmark_v0) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$b'|) |tptp.'top$a'|) (|tptp.'inj_on$a'| (|tptp.'inv_into$e'| |tptp.'top$b'| A__questionmark_v0) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (|tptp.'inj_on$l'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (|tptp.'inj_on$b'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (|tptp.'inj_on$e'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (|tptp.'inj_on$m'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (|tptp.'inj_on$f'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (|tptp.'inj_on$c'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$l'| A__questionmark_v0 |tptp.'top$b'|) (= (|tptp.'image$'| (|tptp.'inv_into$f'| |tptp.'top$b'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$m'| A__questionmark_v0 |tptp.'top$b'|) (= (|tptp.'image$a'| (|tptp.'inv_into$e'| |tptp.'top$b'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'image$h'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) |tptp.'top$b'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$b'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0)) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'image$e'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'image$i'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$b'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'image$f'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$c'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'top$a'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$l'| A__questionmark_v0 |tptp.'top$b'|) (= (|tptp.'image$'| (|tptp.'inv_into$f'| |tptp.'top$b'| A__questionmark_v0) (|tptp.'image$h'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$m'| A__questionmark_v0 |tptp.'top$b'|) (= (|tptp.'image$a'| (|tptp.'inv_into$e'| |tptp.'top$b'| A__questionmark_v0) (|tptp.'image$i'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'image$h'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'image$i'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_bool_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (forall ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|)) (|tptp.'fun_app$q'| A__questionmark_v1 (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v3))))) (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_bool_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (forall ((A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v3 (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|)) (|tptp.'fun_app$r'| A__questionmark_v1 (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v3))))) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (and (= (|tptp.'image$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'top$e'|) |tptp.'top$e'|) (|tptp.'inj_on$g'| A__questionmark_v0 |tptp.'top$e'|)) (= (|tptp.'image$g'| A__questionmark_v1 |tptp.'top$e'|) |tptp.'top$e'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) |tptp.'top$b'|) (|tptp.'inj_on$d'| A__questionmark_v0 |tptp.'top$b'|)) (= (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) |tptp.'top$b'|) (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) |tptp.'top$b'|) (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|)) (= (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'comp$r'| A__questionmark_v0 A__questionmark_v1)) |tptp.'top$'|) |tptp.'top$'|) (|tptp.'inj_on$l'| A__questionmark_v0 |tptp.'top$b'|)) (= (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'comp$p'| A__questionmark_v0 A__questionmark_v1)) |tptp.'top$'|) |tptp.'top$'|) (|tptp.'inj_on$b'| A__questionmark_v0 |tptp.'top$'|)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) |tptp.'top$'|) |tptp.'top$'|))) _let_30 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) |tptp.'top$a'|) (|tptp.'inj_on$m'| A__questionmark_v0 |tptp.'top$b'|)) (= (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) |tptp.'top$a'|) (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|)) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v1) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) |tptp.'top$a'|) (|tptp.'inj_on$c'| A__questionmark_v0 |tptp.'top$a'|)) (= (|tptp.'image$f'| A__questionmark_v1 |tptp.'top$'|) |tptp.'top$a'|))) _let_29 _let_28 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (|tptp.'member$'| (|tptp.'fun_app$c'| |tptp.'f$'| A__questionmark_v0) (|tptp.'image$a'| |tptp.'g$'| |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| |tptp.'j$'| A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| |tptp.'g$'|) (|tptp.'fun_app$c'| |tptp.'f$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$l'| A__questionmark_v0 (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$n'| A__questionmark_v0 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| A__questionmark_v1 (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v1) A__questionmark_v0))) _let_27 _let_26 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$'| (|tptp.'fun_app$m'| (|tptp.'inv_into$i'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$a'| (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$b'| (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v0))) (let ((_let_2 (|tptp.'inv_into$'| A__questionmark_v0 A__questionmark_v1))) (=> (and (= (|tptp.'fun_app$l'| _let_2 A__questionmark_v2) (|tptp.'fun_app$l'| _let_2 A__questionmark_v3)) (|tptp.'member$'| A__questionmark_v2 _let_1) (|tptp.'member$'| A__questionmark_v3 _let_1)) (= A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'image$a'| A__questionmark_v1 A__questionmark_v0))) (let ((_let_2 (|tptp.'inv_into$a'| A__questionmark_v0 A__questionmark_v1))) (=> (and (= (|tptp.'fun_app$n'| _let_2 A__questionmark_v2) (|tptp.'fun_app$n'| _let_2 A__questionmark_v3)) (|tptp.'member$'| A__questionmark_v2 _let_1) (|tptp.'member$'| A__questionmark_v3 _let_1)) (= A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v2 A__questionmark_v1) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$h'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (= (|tptp.'fun_app$b'| A__questionmark_v0 (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (forall ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$h'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (forall ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| A__questionmark_v0 (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (= (|tptp.'image$h'| A__questionmark_v0 |tptp.'top$b'|) |tptp.'top$'|) (= (|tptp.'image$h'| A__questionmark_v0 (|tptp.'image$'| (|tptp.'inv_into$f'| |tptp.'top$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$b'|) |tptp.'top$a'|) (= (|tptp.'image$i'| A__questionmark_v0 (|tptp.'image$a'| (|tptp.'inv_into$e'| |tptp.'top$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (= (|tptp.'image$'| A__questionmark_v0 (|tptp.'image$h'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'image$c'| A__questionmark_v0))) (=> (= (|tptp.'fun_app$o'| _let_1 |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'image$f'| A__questionmark_v0 (|tptp.'image$e'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_set$'|)) (=> (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (= (|tptp.'image$a'| A__questionmark_v0 (|tptp.'image$i'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (= (|tptp.'image$e'| A__questionmark_v0 (|tptp.'image$f'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'image$d'| A__questionmark_v0))) (=> (= (|tptp.'fun_app$p'| _let_1 |tptp.'top$a'|) |tptp.'top$a'|) (= (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$l'| A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$n'| A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2))) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2))) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$l'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$n'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|)) (=> (and (= (|tptp.'image$g'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$e'|) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v4 A__questionmark_v1) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v4) (|tptp.'fun_app$j'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v3) A__questionmark_v0) A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v1) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v3) A__questionmark_v0) A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$'|) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v1) (= (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v4) (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v3) A__questionmark_v0) A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'image$f'| A__questionmark_v0 A__questionmark_v1) |tptp.'top$a'|) (forall ((A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v4 A__questionmark_v1) (= (|tptp.'fun_app$h'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v4) (|tptp.'fun_app$h'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v3) A__questionmark_v0) A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v3))) _let_25 _let_23 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$'| |tptp.'top$i'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$q'| |tptp.'top$c'| A__questionmark_v0) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| |tptp.'top$d'| A__questionmark_v0) (|tptp.'member$b'| A__questionmark_v0 |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (=> (|tptp.'iso_register$a'| A__questionmark_v0) (= (|tptp.'commutant$'| (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$'| A__questionmark_v0 (|tptp.'commutant$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'iso_register$c'| A__questionmark_v0) (= (|tptp.'commutant$'| (|tptp.'image$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$a'| A__questionmark_v0 (|tptp.'commutant$b'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (= (|tptp.'commutant$a'| (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$e'| A__questionmark_v0 (|tptp.'commutant$b'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$a'| A__questionmark_v0) (|tptp.'iso_register$a'| A__questionmark_v1)) (= (|tptp.'inv_into$j'| |tptp.'top$j'| (|tptp.'register_tensor$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$a'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$a'| A__questionmark_v0) (|tptp.'iso_register$c'| A__questionmark_v1)) (= (|tptp.'inv_into$k'| |tptp.'top$k'| (|tptp.'register_tensor$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$c'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$c'| A__questionmark_v0) (|tptp.'iso_register$a'| A__questionmark_v1)) (= (|tptp.'inv_into$l'| |tptp.'top$l'| (|tptp.'register_tensor$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$e'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$c'| A__questionmark_v0) (|tptp.'iso_register$c'| A__questionmark_v1)) (= (|tptp.'inv_into$m'| |tptp.'top$m'| (|tptp.'register_tensor$f'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$g'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$a'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (= (|tptp.'inv_into$n'| |tptp.'top$k'| (|tptp.'register_tensor$h'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$i'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$c'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (= (|tptp.'inv_into$o'| |tptp.'top$m'| (|tptp.'register_tensor$j'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$k'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$a'| A__questionmark_v1)) (= (|tptp.'inv_into$p'| |tptp.'top$l'| (|tptp.'register_tensor$l'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$m'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$c'| A__questionmark_v1)) (= (|tptp.'inv_into$q'| |tptp.'top$m'| (|tptp.'register_tensor$n'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$o'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (= (|tptp.'inv_into$r'| |tptp.'top$m'| (|tptp.'register_tensor$p'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$q'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 (|tptp.'image$f'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_set_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_set$'|)) (= (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'image$g'| A__questionmark_v1 (|tptp.'image$g'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'image$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$b'| A__questionmark_v1 (|tptp.'image$'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$b'| A__questionmark_v1 (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 (|tptp.'image$f'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| (|tptp.'comp$j'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'image$f'| A__questionmark_v1 (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'image$e'| A__questionmark_v1 (|tptp.'image$f'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_set_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_set$'|)) (= (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'image$g'| A__questionmark_v1 (|tptp.'image$g'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'image$g'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$b'| A__questionmark_v1 (|tptp.'image$'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$b'| A__questionmark_v1 (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| (|tptp.'comp$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| (|tptp.'comp$n'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 (|tptp.'image$f'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$'| (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| A__questionmark_v1 (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'image$a'| (|tptp.'comp$j'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| |tptp.'id$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| |tptp.'id$a'| A__questionmark_v0) A__questionmark_v0)) _let_21 _let_20 (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| |tptp.'id$d'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) |tptp.'id$d'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| |tptp.'id$d'|) A__questionmark_v0) A__questionmark_v0)) _let_19 _let_17 _let_15 _let_13 (= (|tptp.'inv_into$h'| |tptp.'top$'| |tptp.'id$a'|) |tptp.'id$a'|) (= (|tptp.'inv_into$g'| |tptp.'top$a'| |tptp.'id$'|) |tptp.'id$'|) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'inj_on$g'| A__questionmark_v0 |tptp.'top$e'|) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'inv_into$d'| |tptp.'top$e'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'comp$r'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'comp$f'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'image$d'| |tptp.'id$'|) A__questionmark_v1)) (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$c'| |tptp.'id$a'|) A__questionmark_v1)) (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'image$d'| |tptp.'id$'|) A__questionmark_v1)) (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$c'| |tptp.'id$a'|) A__questionmark_v1)) (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| |tptp.'id$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| |tptp.'id$a'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1)) (= A__questionmark_v0 |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1)) (= A__questionmark_v0 |tptp.'id$a'|))) _let_11 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'comp$d'| |tptp.'id$j'| A__questionmark_v2)) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'comp$l'| |tptp.'id$'| A__questionmark_v2)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$e'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'comp$p'| |tptp.'id$a'| A__questionmark_v2)) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'comp$c'| |tptp.'id$d'|) A__questionmark_v2)) (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (|tptp.'inj_on$c'| |tptp.'id$'| A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (|tptp.'inj_on$b'| |tptp.'id$a'| A__questionmark_v0)) (|tptp.'clinear$d'| |tptp.'id$'|) (|tptp.'clinear$e'| |tptp.'id$a'|) (|tptp.'register$d'| |tptp.'id$'|) (|tptp.'register$e'| |tptp.'id$a'|) (|tptp.'iso_register$f'| |tptp.'id$'|) (|tptp.'iso_register$g'| |tptp.'id$a'|) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$i'| (|tptp.'register_tensor$f'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$j'| (|tptp.'register_tensor$d'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1)) (|tptp.'register$k'| (|tptp.'register_tensor$j'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v1)) (|tptp.'register$l'| (|tptp.'register_tensor$v'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$m'| (|tptp.'register_tensor$b'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$n'| (|tptp.'register_tensor$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1)) (|tptp.'register$o'| (|tptp.'register_tensor$h'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v1)) (|tptp.'register$p'| (|tptp.'register_tensor$w'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$q'| (|tptp.'register_tensor$n'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$r'| (|tptp.'register_tensor$l'| A__questionmark_v0 A__questionmark_v1)))) _let_10 _let_7 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$h'| (|tptp.'register_tensor$p'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (and (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$d'|) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$d'|)) (= (|tptp.'inv_into$d'| |tptp.'top$e'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$p'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'comp$p'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|)) (= (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) _let_4 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$y'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|) (= (|tptp.'comp$r'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|)) (= (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$l'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$l'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (= (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))) _let_3 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$z'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|) (= (|tptp.'comp$f'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (= (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 A__questionmark_v1) (= (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$b'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$a'| A__questionmark_v3 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 A__questionmark_v1) (= (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_set_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 A__questionmark_v1) (= (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$b'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$a'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$v'| A__questionmark_v4 (|tptp.'image$a'| A__questionmark_v3 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$c'| A__questionmark_v3)) (= (|tptp.'comp$aa'| (|tptp.'register_tensor$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$q'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$b'| A__questionmark_v3)) (= (|tptp.'comp$ab'| (|tptp.'register_tensor$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$x'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$b'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$c'| A__questionmark_v3)) (= (|tptp.'comp$ac'| (|tptp.'register_tensor$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$q'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$y'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$b'| A__questionmark_v3)) (= (|tptp.'comp$ad'| (|tptp.'register_tensor$v'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$x'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$z'| (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1) (|tptp.'register$b'| A__questionmark_v2) (|tptp.'register$c'| A__questionmark_v3)) (= (|tptp.'comp$ae'| (|tptp.'register_tensor$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$aa'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$d'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1) (|tptp.'register$b'| A__questionmark_v2) (|tptp.'register$b'| A__questionmark_v3)) (= (|tptp.'comp$af'| (|tptp.'register_tensor$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$p'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$f'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1) (|tptp.'register$b'| A__questionmark_v2) (|tptp.'register$c'| A__questionmark_v3)) (= (|tptp.'comp$ag'| (|tptp.'register_tensor$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$aa'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$ab'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v1) (|tptp.'register$b'| A__questionmark_v2) (|tptp.'register$b'| A__questionmark_v3)) (= (|tptp.'comp$ah'| (|tptp.'register_tensor$w'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$p'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$ac'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$c'| A__questionmark_v3)) (= (|tptp.'comp$ai'| (|tptp.'register_tensor$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$q'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$ad'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$b'| A__questionmark_v3)) (= (|tptp.'comp$aj'| (|tptp.'register_tensor$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$x'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$ae'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$f'| A__questionmark_v0) (and (|tptp.'register$d'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'register$d'| A__questionmark_v1) (= (|tptp.'comp$l'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$l'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$g'| A__questionmark_v0) (and (|tptp.'register$e'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'register$e'| A__questionmark_v1) (= (|tptp.'comp$p'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'comp$p'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$d'| A__questionmark_v0) (and (|tptp.'register$h'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (and (|tptp.'register$'| A__questionmark_v1) (= (|tptp.'comp$f'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$z'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$j'|)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$b'| A__questionmark_v0) (and (|tptp.'register$g'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (and (|tptp.'register$a'| A__questionmark_v1) (= (|tptp.'comp$r'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'comp$y'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$j'|)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$c'| A__questionmark_v0) (and (|tptp.'register$'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'register$h'| A__questionmark_v1) (= (|tptp.'comp$z'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|) (= (|tptp.'comp$f'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$a'| A__questionmark_v0) (and (|tptp.'register$a'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'register$g'| A__questionmark_v1) (= (|tptp.'comp$y'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|) (= (|tptp.'comp$r'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$e'| A__questionmark_v0) (and (|tptp.'register$c'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'register$b'| A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$a'|)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$'| A__questionmark_v0) (and (|tptp.'register$b'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'register$c'| A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$'|)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'register$d'| A__questionmark_v1) (= (|tptp.'comp$l'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$l'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'iso_register$f'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1) (= (|tptp.'comp$p'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'comp$p'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|)) (|tptp.'iso_register$g'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$h'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1) (= (|tptp.'comp$f'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$z'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$j'|)) (|tptp.'iso_register$d'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$g'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1) (= (|tptp.'comp$r'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'comp$y'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$j'|)) (|tptp.'iso_register$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$h'| A__questionmark_v1) (= (|tptp.'comp$z'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|) (= (|tptp.'comp$f'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'iso_register$c'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$g'| A__questionmark_v1) (= (|tptp.'comp$y'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|) (= (|tptp.'comp$r'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|)) (|tptp.'iso_register$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$c'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$a'|)) (|tptp.'iso_register$e'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$'|)) (|tptp.'iso_register$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (= (= (|tptp.'image$g'| A__questionmark_v0 |tptp.'top$e'|) |tptp.'top$e'|) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) (|tptp.'inv_into$d'| |tptp.'top$e'| A__questionmark_v0)) |tptp.'id$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|) (= (|tptp.'comp$y'| A__questionmark_v0 (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0)) |tptp.'id$j'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'comp$p'| A__questionmark_v0 (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0)) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|) (= (|tptp.'comp$z'| A__questionmark_v0 (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$j'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|) (= (|tptp.'comp$l'| A__questionmark_v0 (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$e'| A__questionmark_v0) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$e'| A__questionmark_v1) (= (|tptp.'comp$p'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$c'| A__questionmark_v0) (= (|tptp.'image$f'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|)) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$b'| A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$'|))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$b'| A__questionmark_v0) (= (|tptp.'image$e'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$'|)) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$c'| A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$a'|))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$d'| A__questionmark_v0) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|)) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$d'| A__questionmark_v1) (= (|tptp.'comp$l'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$g'| A__questionmark_v0) (= (|tptp.'image$h'| A__questionmark_v0 |tptp.'top$b'|) |tptp.'top$'|)) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$'| A__questionmark_v1) (= (|tptp.'comp$r'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$h'| A__questionmark_v0) (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$b'|) |tptp.'top$a'|)) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$a'| A__questionmark_v1) (= (|tptp.'comp$f'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$'| A__questionmark_v0) (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$b'|)) (exists ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$g'| A__questionmark_v1) (= (|tptp.'comp$y'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$a'| A__questionmark_v0) (= (|tptp.'image$a'| A__questionmark_v0 |tptp.'top$a'|) |tptp.'top$b'|)) (exists ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$h'| A__questionmark_v1) (= (|tptp.'comp$z'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$j'|))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (= (|tptp.'inj_on$g'| A__questionmark_v0 |tptp.'top$e'|) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'inv_into$d'| |tptp.'top$e'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|) (= (|tptp.'comp$r'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|) (= (|tptp.'comp$f'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$c'| A__questionmark_v0) (|tptp.'inj_on$f'| A__questionmark_v0 |tptp.'top$'|)) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$b'| A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$a'|))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$b'| A__questionmark_v0) (|tptp.'inj_on$e'| A__questionmark_v0 |tptp.'top$a'|)) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$c'| A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$'|))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$g'| A__questionmark_v0) (|tptp.'inj_on$l'| A__questionmark_v0 |tptp.'top$b'|)) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$'| A__questionmark_v1) (= (|tptp.'comp$y'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$j'|))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$h'| A__questionmark_v0) (|tptp.'inj_on$m'| A__questionmark_v0 |tptp.'top$b'|)) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$a'| A__questionmark_v1) (= (|tptp.'comp$z'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$j'|))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$'| A__questionmark_v0) (|tptp.'inj_on$'| A__questionmark_v0 |tptp.'top$'|)) (exists ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$g'| A__questionmark_v1) (= (|tptp.'comp$r'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'clinear$a'| A__questionmark_v0) (|tptp.'inj_on$a'| A__questionmark_v0 |tptp.'top$a'|)) (exists ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'clinear$h'| A__questionmark_v1) (= (|tptp.'comp$f'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$g'| A__questionmark_v0) (= (|tptp.'comp$p'| A__questionmark_v0 (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0)) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$e'| A__questionmark_v0) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$a'| A__questionmark_v0) (= (|tptp.'comp$y'| A__questionmark_v0 (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0)) |tptp.'id$j'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$f'| A__questionmark_v0) (= (|tptp.'comp$l'| A__questionmark_v0 (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$c'| A__questionmark_v0) (= (|tptp.'comp$z'| A__questionmark_v0 (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$j'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$e'| A__questionmark_v0) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$a'| A__questionmark_v0) (= (|tptp.'comp$r'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$c'| A__questionmark_v0) (= (|tptp.'comp$f'| (|tptp.'inv_into$a'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$l'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$l'| A__questionmark_v1 A__questionmark_v2) |tptp.'id$'|)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$p'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'comp$p'| A__questionmark_v1 A__questionmark_v2) |tptp.'id$a'|)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v2) |tptp.'id$a'|)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v2) |tptp.'id$'|)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|)) (=> (and (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$d'|) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v2) |tptp.'id$d'|)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (and (= (|tptp.'comp$l'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$l'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (and (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (and (= (|tptp.'comp$p'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'comp$p'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$a'|)) (and (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (and (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$a'|)) (and (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (and (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$'|)) (and (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (= (and (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$d'|) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v0) |tptp.'id$d'|)) (and (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$j'| A__questionmark_v1 (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$a'|) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'id$d'|) (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$m'| |tptp.'id$j'| A__questionmark_v2))) (and (|tptp.'member$'| A__questionmark_v2 |tptp.'top$b'|) (= _let_1 A__questionmark_v0) (= _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'id$a'| A__questionmark_v2))) (and (|tptp.'member$a'| A__questionmark_v2 |tptp.'top$'|) (= _let_1 A__questionmark_v0) (= _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$e'| |tptp.'id$'| A__questionmark_v2))) (and (|tptp.'member$b'| A__questionmark_v2 |tptp.'top$a'|) (= _let_1 A__questionmark_v0) (= _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) (|tptp.'inv_into$d'| |tptp.'top$e'| A__questionmark_v0)) |tptp.'id$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'comp$p'| A__questionmark_v0 (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0)) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (|tptp.'comp$l'| A__questionmark_v0 (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'inv_into$d'| |tptp.'top$e'| A__questionmark_v0)) A__questionmark_v0) |tptp.'id$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'comp$p'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$a'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (|tptp.'comp$l'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (|tptp.'inj_on$b'| A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (|tptp.'inj_on$c'| A__questionmark_v0 |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0))) (=> (and (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$h'| _let_1 A__questionmark_v1) (|tptp.'fun_app$h'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0))) (=> (and (|tptp.'bijection$b'| A__questionmark_v0) (= (|tptp.'fun_app$e'| _let_1 A__questionmark_v1) (|tptp.'fun_app$e'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$h'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (|tptp.'fun_app$e'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$h'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0))) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (= (|tptp.'fun_app$h'| _let_1 A__questionmark_v1) (|tptp.'fun_app$h'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0))) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (= (|tptp.'fun_app$e'| _let_1 A__questionmark_v1) (|tptp.'fun_app$e'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (= (|tptp.'fun_app$h'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (= (|tptp.'fun_app$e'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (= A__questionmark_v1 (|tptp.'fun_app$h'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|) (A__questionmark_v4 |tptp.'Nat_nat_fun$'|) (A__questionmark_v5 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v4))) (=> (and (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$k'| _let_1 A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v5) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$i'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$n'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'comp$j'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v4) A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v5) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$i'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$o'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'comp$l'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v4) A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v5) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$m'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$h'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'comp$p'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v4) A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v5) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$h'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$n'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1) (|tptp.'comp$j'| A__questionmark_v5 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$h'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$o'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1) (|tptp.'comp$l'| A__questionmark_v5 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$o'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'comp$h'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1) (|tptp.'comp$p'| A__questionmark_v5 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'comp$e'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$e'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v5) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'comp$g'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$g'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v5) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'comp$k'| A__questionmark_v4 A__questionmark_v2) A__questionmark_v5)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$k'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v5) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|) (A__questionmark_v4 |tptp.'Nat_nat_fun$'|) (A__questionmark_v5 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v2))) (let ((_let_2 (|tptp.'comp$c'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$k'| _let_2 A__questionmark_v1) (|tptp.'fun_app$k'| _let_1 A__questionmark_v3)) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v3) A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'fun_app$k'| _let_2 (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v4)) (|tptp.'fun_app$k'| _let_1 A__questionmark_v5)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$n'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$i'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'comp$d'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v4)) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$o'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$i'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'comp$f'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v4)) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$n'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$i'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'comp$j'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v4)) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$o'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$i'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'comp$l'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v4)) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$h'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'comp$m'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'comp$p'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v4)) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$e'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v3) A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'comp$d'| A__questionmark_v2 A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$g'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v3) A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'comp$f'| A__questionmark_v2 A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$k'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v3) A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'comp$j'| A__questionmark_v2 A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$m'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v3) A__questionmark_v4) A__questionmark_v5)) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'comp$l'| A__questionmark_v2 A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v3))) (=> (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$k'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$'| A__questionmark_v3))) (=> (= (|tptp.'comp$h'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$j'| (|tptp.'fun_app$a'| _let_1 A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$a'| A__questionmark_v3))) (=> (= (|tptp.'comp$h'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$l'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (let ((_let_1 (|tptp.'comp$b'| A__questionmark_v3))) (=> (= (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$p'| (|tptp.'fun_app$i'| _let_1 A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$i'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$n'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v3) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$o'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v3) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'comp$h'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v3) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$e'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1) (|tptp.'comp$d'| A__questionmark_v3 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$g'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1) (|tptp.'comp$f'| A__questionmark_v3 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$i'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v3) A__questionmark_v0) A__questionmark_v1) (|tptp.'comp$h'| A__questionmark_v3 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat_nat_fun$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v0))) (=> (= (|tptp.'fun_app$k'| _let_1 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$k'| (|tptp.'comp$c'| A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$d'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$f'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$j'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$l'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$p'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$n'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'comp$i'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'comp$h'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v0) (|tptp.'comp$m'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'comp$n'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'comp$k'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$h'| A__questionmark_v3 (|tptp.'fun_app$d'| A__questionmark_v4 A__questionmark_v2))) (= (|tptp.'fun_app$b'| (|tptp.'comp$j'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v5) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$n'| A__questionmark_v5 A__questionmark_v3)) A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$h'| A__questionmark_v3 (|tptp.'fun_app$d'| A__questionmark_v4 A__questionmark_v2))) (= (|tptp.'fun_app$e'| (|tptp.'comp$l'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v5) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$o'| A__questionmark_v5 A__questionmark_v3)) A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$e'| A__questionmark_v3 (|tptp.'fun_app$g'| A__questionmark_v4 A__questionmark_v2))) (= (|tptp.'fun_app$h'| (|tptp.'comp$p'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v5) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$h'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'comp$h'| A__questionmark_v5 A__questionmark_v3)) A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| A__questionmark_v3 (|tptp.'fun_app$e'| A__questionmark_v4 A__questionmark_v2))) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$a'| (|tptp.'comp$'| (|tptp.'comp$n'| A__questionmark_v5 A__questionmark_v0)) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'comp$j'| (|tptp.'fun_app$a'| (|tptp.'comp$'| A__questionmark_v5) A__questionmark_v3) A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| A__questionmark_v3 (|tptp.'fun_app$e'| A__questionmark_v4 A__questionmark_v2))) (= (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| (|tptp.'comp$o'| A__questionmark_v5 A__questionmark_v0)) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'comp$l'| (|tptp.'fun_app$f'| (|tptp.'comp$a'| A__questionmark_v5) A__questionmark_v3) A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v5 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$g'| A__questionmark_v3 (|tptp.'fun_app$h'| A__questionmark_v4 A__questionmark_v2))) (= (|tptp.'fun_app$h'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| (|tptp.'comp$h'| A__questionmark_v5 A__questionmark_v0)) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$h'| (|tptp.'comp$p'| (|tptp.'fun_app$i'| (|tptp.'comp$b'| A__questionmark_v5) A__questionmark_v3) A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_nat_fun$'|) (A__questionmark_v4 |tptp.'Nat_nat_fun$'|) (A__questionmark_v5 |tptp.'Nat_nat_fun$'|)) (let ((_let_1 (|tptp.'comp$c'| A__questionmark_v5))) (=> (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$j'| A__questionmark_v3 (|tptp.'fun_app$j'| A__questionmark_v4 A__questionmark_v2))) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v0)) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$j'| (|tptp.'fun_app$k'| (|tptp.'comp$c'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v3)) A__questionmark_v4) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$o'| (|tptp.'image$c'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0)) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (= (|tptp.'fun_app$p'| (|tptp.'image$d'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'top$a'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (|tptp.'inj_on$b'| (|tptp.'inv_into$h'| |tptp.'top$'| A__questionmark_v0) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bijection$b'| A__questionmark_v0) (|tptp.'inj_on$c'| (|tptp.'inv_into$g'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$a'|))) _let_2 (= (|tptp.'fun_app$g'| |tptp.'j$'| |tptp.'id_cblinfun$a'|) |tptp.'id_cblinfun$'|) (= _let_1 _let_1) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 74.40/64.77  )
% 74.40/64.77  % SZS output end Proof for ITP397_1
% 74.40/64.77  % cvc5---1.0.5 exiting
% 74.46/64.77  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------