%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW478+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 : Fri Sep  1 00:21:20 EDT 2023

% Result   : Theorem 0.53s 1.13s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.22  % Problem    : SWW478+2 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.23  % Command    : do_cvc5 %s %d
% 0.23/0.45  % Computer : n023.cluster.edu
% 0.23/0.45  % Model    : x86_64 x86_64
% 0.23/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.45  % Memory   : 8042.1875MB
% 0.23/0.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.23/0.45  % CPULimit   : 300
% 0.23/0.45  % WCLimit    : 300
% 0.23/0.45  % DateTime   : Sun Aug 27 22:22:56 EDT 2023
% 0.23/0.45  % CPUTime    : 
% 0.53/0.70  %----Proving TF0_NAR, FOF, or CNF
% 0.53/1.13  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EL4qac5OQ2/cvc5---1.0.5_6795.p...
% 0.53/1.13  ------- get file name : TPTP file name is SWW478+2
% 0.53/1.13  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6795.smt2...
% 0.53/1.13  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/1.13  % SZS status Theorem for SWW478+2
% 0.53/1.13  % SZS output start Proof for SWW478+2
% 0.53/1.13  (
% 0.53/1.13  (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.ha))) (let ((_let_2 (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val tptp.ea) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val tptp.la tptp.v_1 (tptp.hAPP_val_option_val tptp.some_val tptp.v))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val tptp.e_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.h_a) tptp.l_a))) (tptp.red tptp.p))))) (let ((_let_3 (not _let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_3)) (ASSUME :args (_let_2)) :args (false false _let_2)) :args ((forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.final_list_char B_1_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted) (B_4_1 $$unsorted)) (tptp.is_bool (tptp.conf_P373316194t_char B_1_1 B_2_1 B_3_1 B_4_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.d_list_char B_1_1 B_2_1))) (tptp.is_bop tptp.add) (tptp.is_bop tptp.c_Expr_Obop_OEq) (tptp.is_bop (tptp.undefined_bop tptp.bop)) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hext B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.assigned B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.widen_2090681816t_char B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.is_refT B_1_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.wf_pro755087577t_char B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted) (B_4_1 $$unsorted) (B_5 $$unsorted)) (tptp.is_bool (tptp.wTrt B_1_1 B_2_1 B_3_1 B_4_1 B_5))) (tptp.is_bool tptp.fFalse) (tptp.is_bool tptp.fTrue) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_list_char_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_nat_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_val_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1001225811y_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1033709212l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f61040418l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1715346603l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P943837928l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1708370145l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P449474095r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1235399154l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1384137393r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P929938951l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P159683425l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P282169671l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member_list_char B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member_nat B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member1417904245al_val B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member840932460on_val B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member1251428284t_char B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member1542417277on_val B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member649088532al_val B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member763590124on_val B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member773094996on_val B_1_1 B_2_1))) (= (tptp.hAPP_l207779698on_val tptp.l_a tptp.v_1) (tptp.hAPP_val_option_val tptp.some_val tptp.v_2)) _let_2 (forall ((F_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.fun_up1149430426on_val F_1 X_1 (tptp.hAPP_l207779698on_val F_1 X_1)) F_1)) (forall ((F_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.fun_up424764369ion_ty F_1 X_1 (tptp.hAPP_l512744617ion_ty F_1 X_1)) F_1)) (forall ((F_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.fun_up2041264236on_val F_1 X_1 (tptp.hAPP_n546249108on_val F_1 X_1)) F_1)) (forall ((F_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.fun_up204312361on_val F_1 X_1 (tptp.hAPP_P2094403585on_val F_1 X_1)) F_1)) (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl tptp.p)) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (let ((_let_2 (= X_1 A_1))) (= (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val M A_1 (tptp.hAPP_val_option_val tptp.some_val B)) X_1) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_l207779698on_val M X_1) _let_1))))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty Y_2))) (let ((_let_2 (= X_1 A_1))) (= (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty M A_1 (tptp.hAPP_ty_option_ty tptp.some_ty B)) X_1) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_l512744617ion_ty M X_1) _let_1))))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_2))) (let ((_let_2 (= X_1 A_1))) (= (= (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val M A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) X_1) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_n546249108on_val M X_1) _let_1))))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (let ((_let_2 (= X_1 A_1))) (= (= (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val M A_1 (tptp.hAPP_val_option_val tptp.some_val B)) X_1) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_P2094403585on_val M X_1) _let_1))))))) (forall ((T_6 $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val X_1))) (=> (= (tptp.hAPP_l207779698on_val T_6 K) _let_1) (= (tptp.fun_up1149430426on_val T_6 K _let_1) T_6)))) (forall ((T_6 $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty X_1))) (=> (= (tptp.hAPP_l512744617ion_ty T_6 K) _let_1) (= (tptp.fun_up424764369ion_ty T_6 K _let_1) T_6)))) (forall ((T_6 $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_1))) (=> (= (tptp.hAPP_n546249108on_val T_6 K) _let_1) (= (tptp.fun_up2041264236on_val T_6 K _let_1) T_6)))) (forall ((T_6 $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val X_1))) (=> (= (tptp.hAPP_P2094403585on_val T_6 K) _let_1) (= (tptp.fun_up204312361on_val T_6 K _let_1) T_6)))) (forall ((M $$unsorted) (A_1 $$unsorted) (X_1 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up1149430426on_val M A_1 (tptp.hAPP_val_option_val tptp.some_val X_1)) (tptp.fun_up1149430426on_val N A_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= X_1 Y_2))) (forall ((M $$unsorted) (A_1 $$unsorted) (X_1 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up424764369ion_ty M A_1 (tptp.hAPP_ty_option_ty tptp.some_ty X_1)) (tptp.fun_up424764369ion_ty N A_1 (tptp.hAPP_ty_option_ty tptp.some_ty Y_2))) (= X_1 Y_2))) (forall ((M $$unsorted) (A_1 $$unsorted) (X_1 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up2041264236on_val M A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_1)) (tptp.fun_up2041264236on_val N A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_2))) (= X_1 Y_2))) (forall ((M $$unsorted) (A_1 $$unsorted) (X_1 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up204312361on_val M A_1 (tptp.hAPP_val_option_val tptp.some_val X_1)) (tptp.fun_up204312361on_val N A_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= X_1 Y_2))) (forall ((Ta $$unsorted) (Ea $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa807100911_sconf tptp.p Ea) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.ha) (tptp.fun_up1149430426on_val tptp.la tptp.v_1 (tptp.hAPP_val_option_val tptp.some_val tptp.v))))) (=> (tptp.hBOOL (tptp.wTrt tptp.p tptp.ha Ea tptp.ea Ta)) (exists ((T_3 $$unsorted)) (and (tptp.hBOOL (tptp.wTrt tptp.p tptp.h_a Ea tptp.e_a T_3)) (tptp.hBOOL (tptp.widen_2090681816t_char tptp.p T_3 Ta))))))) (forall ((X_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X_1)))) (forall ((Y_2 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_4) D_2)))))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa807100911_sconf tptp.p tptp.e) (tptp.hAPP_f1727192346on_val _let_1 tptp.la))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_13) B_2)) (not (=> (= A_1 A_13) (not (= B B_2)))))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_13) B_2)) (not (=> (= A_1 A_13) (not (= B B_2)))))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_13) B_2)) (not (=> (= A_1 A_13) (not (= B B_2)))))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_13) B_2)) (not (=> (= A_1 A_13) (not (= B B_2)))))) (forall ((A_17 $$unsorted) (B_4 $$unsorted) (A_16 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_17) B_4) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_16) B_3)) (not (=> (= A_17 A_16) (not (= B_4 B_3)))))) (forall ((A_17 $$unsorted) (B_4 $$unsorted) (A_16 $$unsorted) (B_3 $$unsorted)) (=> (and (tptp.is_bop A_17) (tptp.is_bop A_16)) (=> (= (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_17) B_4) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_16) B_3)) (not (=> (= A_17 A_16) (not (= B_4 B_3))))))) (forall ((A_17 $$unsorted) (B_4 $$unsorted) (A_16 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_17) B_4) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_16) B_3)) (not (=> (= A_17 A_16) (not (= B_4 B_3)))))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_13) B_2)) (and (= A_1 A_13) (= B B_2)))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_13) B_2)) (and (= A_1 A_13) (= B B_2)))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_13) B_2)) (and (= A_1 A_13) (= B B_2)))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_13) B_2)) (and (= A_1 A_13) (= B B_2)))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_13) B_2)) (and (= A_1 A_13) (= B B_2)))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (=> (and (tptp.is_bop A_1) (tptp.is_bop A_13)) (= (= (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_13) B_2)) (and (= A_1 A_13) (= B B_2))))) (forall ((A_1 $$unsorted) (B $$unsorted) (A_13 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_13) B_2)) (and (= A_1 A_13) (= B B_2)))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X1))) (forall ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X1))) (forall ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa X1))) (forall ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa X1))) (forall ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa X1))) (forall ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B_1)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa X1))) (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (tptp.is_bop A) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B_1))))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool Pa X1))) (forall ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool Pa (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F_1 A_1 B) X_2))) (let ((_let_2 (= X_2 A_1))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l207779698on_val F_1 X_2))))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F_1 A_1 B) X_2))) (let ((_let_2 (= X_2 A_1))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l512744617ion_ty F_1 X_2))))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val F_1 A_1 B) X_2))) (let ((_let_2 (= X_2 A_1))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_n546249108on_val F_1 X_2))))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val F_1 A_1 B) X_2))) (let ((_let_2 (= X_2 A_1))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_P2094403585on_val F_1 X_2))))))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_l207779698on_val F_1 X_1) Y_2) (= (tptp.fun_up1149430426on_val F_1 X_1 Y_2) F_1))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty F_1 X_1) Y_2) (= (tptp.fun_up424764369ion_ty F_1 X_1 Y_2) F_1))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val F_1 X_1) Y_2) (= (tptp.fun_up2041264236on_val F_1 X_1 Y_2) F_1))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_P2094403585on_val F_1 X_1) Y_2) (= (tptp.fun_up204312361on_val F_1 X_1 Y_2) F_1))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (=> (not (= Z X_1)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F_1 X_1 Y_2) Z) (tptp.hAPP_l207779698on_val F_1 Z)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (=> (not (= Z X_1)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F_1 X_1 Y_2) Z) (tptp.hAPP_l512744617ion_ty F_1 Z)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (=> (not (= Z X_1)) (= (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val F_1 X_1 Y_2) Z) (tptp.hAPP_n546249108on_val F_1 Z)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (=> (not (= Z X_1)) (= (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val F_1 X_1 Y_2) Z) (tptp.hAPP_P2094403585on_val F_1 Z)))) (forall ((M $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (not (= A_1 C)) (= (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val M A_1 B) C D_1) (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val M C D_1) A_1 B)))) (forall ((M $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (not (= A_1 C)) (= (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty M A_1 B) C D_1) (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty M C D_1) A_1 B)))) (forall ((M $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (not (= A_1 C)) (= (tptp.fun_up2041264236on_val (tptp.fun_up2041264236on_val M A_1 B) C D_1) (tptp.fun_up2041264236on_val (tptp.fun_up2041264236on_val M C D_1) A_1 B)))) (forall ((M $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (not (= A_1 C)) (= (tptp.fun_up204312361on_val (tptp.fun_up204312361on_val M A_1 B) C D_1) (tptp.fun_up204312361on_val (tptp.fun_up204312361on_val M C D_1) A_1 B)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F_1 X_1 Y_2) Z))) (let ((_let_2 (= Z X_1))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l207779698on_val F_1 Z))))))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F_1 X_1 Y_2) Z))) (let ((_let_2 (= Z X_1))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l512744617ion_ty F_1 Z))))))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val F_1 X_1 Y_2) Z))) (let ((_let_2 (= Z X_1))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_n546249108on_val F_1 Z))))))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val F_1 X_1 Y_2) Z))) (let ((_let_2 (= Z X_1))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_P2094403585on_val F_1 Z))))))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F_1 X_1 Y_2) X_1) Y_2)) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F_1 X_1 Y_2) X_1) Y_2)) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val F_1 X_1 Y_2) X_1) Y_2)) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val F_1 X_1 Y_2) X_1) Y_2)) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted)) (= (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val F_1 X_1 Y_2) X_1 Z) (tptp.fun_up1149430426on_val F_1 X_1 Z))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted)) (= (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty F_1 X_1 Y_2) X_1 Z) (tptp.fun_up424764369ion_ty F_1 X_1 Z))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted)) (= (tptp.fun_up2041264236on_val (tptp.fun_up2041264236on_val F_1 X_1 Y_2) X_1 Z) (tptp.fun_up2041264236on_val F_1 X_1 Z))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (Z $$unsorted)) (= (tptp.fun_up204312361on_val (tptp.fun_up204312361on_val F_1 X_1 Y_2) X_1 Z) (tptp.fun_up204312361on_val F_1 X_1 Z))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (= (tptp.fun_up1149430426on_val F_1 X_1 Y_2) F_1) (= (tptp.hAPP_l207779698on_val F_1 X_1) Y_2))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (= (tptp.fun_up424764369ion_ty F_1 X_1 Y_2) F_1) (= (tptp.hAPP_l512744617ion_ty F_1 X_1) Y_2))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (= (tptp.fun_up2041264236on_val F_1 X_1 Y_2) F_1) (= (tptp.hAPP_n546249108on_val F_1 X_1) Y_2))) (forall ((F_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (= (tptp.fun_up204312361on_val F_1 X_1 Y_2) F_1) (= (tptp.hAPP_P2094403585on_val F_1 X_1) Y_2))) (forall ((P_4 $$unsorted) (T_5 $$unsorted)) (tptp.hBOOL (tptp.widen_2090681816t_char P_4 T_5 T_5))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hconf_97414254t_char Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 Hb)) (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 H_b))))))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.lconf_496643946t_char Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 Hb) Lb) Ea)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 H_b) L_b) Ea))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_1) C_4))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B_1) C_4))))))) (forall ((Y_4 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted)) (=> (tptp.is_bop A) (not (= Y_4 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B_1) C_4)))))))) (forall ((X_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_1) C_4))))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X_1)))) (forall ((X_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B_1) C_4))))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X_1)))) (forall ((X_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted) (C_4 $$unsorted)) (=> (tptp.is_bop A) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B_1) C_4)))))) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa X_1)))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.typeSa807100911_sconf Pa Ea))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt Pa (tptp.hp S_2) Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S))))))) (forall ((S_6 $$unsorted) (R_1 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_2) Xa))) (= (tptp.hBOOL (tptp.member840932460on_val _let_1 R_1)) (tptp.hBOOL (tptp.member840932460on_val _let_1 S_6))))) (= R_1 S_6))) (forall ((S_6 $$unsorted) (R_1 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_2) Xa))) (= (tptp.hBOOL (tptp.member763590124on_val _let_1 R_1)) (tptp.hBOOL (tptp.member763590124on_val _let_1 S_6))))) (= R_1 S_6))) (forall ((S_6 $$unsorted) (R_1 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_2) Xa))) (= (tptp.hBOOL (tptp.member1542417277on_val _let_1 R_1)) (tptp.hBOOL (tptp.member1542417277on_val _let_1 S_6))))) (= R_1 S_6))) (forall ((S_6 $$unsorted) (R_1 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val X_2) Xa))) (=> (tptp.is_bop X_2) (= (tptp.hBOOL (tptp.member1417904245al_val _let_1 R_1)) (tptp.hBOOL (tptp.member1417904245al_val _let_1 S_6)))))) (= R_1 S_6))) (forall ((S_6 $$unsorted) (R_1 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_2) Xa))) (= (tptp.hBOOL (tptp.member649088532al_val _let_1 R_1)) (tptp.hBOOL (tptp.member649088532al_val _let_1 S_6))))) (= R_1 S_6))) (forall ((S_6 $$unsorted) (R_1 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_2) Xa))) (= (tptp.hBOOL (tptp.member773094996on_val _let_1 R_1)) (tptp.hBOOL (tptp.member773094996on_val _let_1 S_6))))) (= R_1 S_6))) (forall ((S_6 $$unsorted) (R_1 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_2) Xa))) (= (tptp.hBOOL (tptp.member1251428284t_char _let_1 R_1)) (tptp.hBOOL (tptp.member1251428284t_char _let_1 S_6))))) (= R_1 S_6))) (forall ((Y_2 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B_1)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted)) (not (= Y_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B_1)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted)) (not (= Y_2 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B_1)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted)) (not (= Y_2 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B_1)))))) (forall ((Y_3 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted)) (not (= Y_3 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B_1)))))) (forall ((Y_3 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (tptp.is_bop A) (not (= Y_3 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B_1))))))) (forall ((Y_3 $$unsorted)) (not (forall ((A $$unsorted) (B_1 $$unsorted)) (not (= Y_3 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_2) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_2) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_2) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_2) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_2) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_bop X_2) (not (= P_3 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val X_2) Y_1))))))) (forall ((P_3 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_2) Y_1)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X1))) (exists ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X1))) (exists ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa X1))) (exists ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa X1))) (exists ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B_1)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa X1))) (exists ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B_1)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa X1))) (exists ((A $$unsorted) (B_1 $$unsorted)) (and (tptp.is_bop A) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B_1))))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool Pa X1))) (exists ((A $$unsorted) (B_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool Pa (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)))))) (forall ((T_4 $$unsorted) (P_2 $$unsorted) (S_5 $$unsorted) (U_1 $$unsorted)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char P_2 S_5 U_1)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char P_2 U_1 T_4)) (tptp.hBOOL (tptp.widen_2090681816t_char P_2 S_5 T_4))))) (tptp.hBOOL (tptp.wTrt tptp.p tptp.ha tptp.e (tptp.block_list_char tptp.v_1 tptp.t_1 (tptp.seq_list_char (tptp.lAss_list_char tptp.v_1 (tptp.val_list_char tptp.v)) tptp.ea)) tptp.t)) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc2128769400l_bool C) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C A_1) B)))) (forall ((Pa $$unsorted) (Ea $$unsorted) (S_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa807100911_sconf Pa Ea) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.cOMBS_570216337l_bool (tptp.hAPP_f1523875321l_bool (tptp.hAPP_f592397849l_bool tptp.cOMBB_1718333400on_val tptp.cOMBB_383678192on_val) (tptp.hAPP_f1452292669l_bool (tptp.hAPP_f1977633121l_bool tptp.cOMBB_1303934920on_val tptp.fconj) (tptp.hconf_97414254t_char Pa))) (tptp.hAPP_f550652027l_bool (tptp.hAPP_f838396643l_bool tptp.cOMBC_2027949654l_bool (tptp.hAPP_f857351829l_bool (tptp.hAPP_f348318673l_bool tptp.cOMBB_1518282696on_val tptp.cOMBC_832625297y_bool) (tptp.lconf_496643946t_char Pa))) Ea))) S_2)))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.red Pa))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool X_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Xa) Xb))))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool X_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Xa) Xb))))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool X_2 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Xa) Xb))))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool X_2 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Xa) Xb))))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool X_2 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Xa) Xb))))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool X_2 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Xa) Xb))))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool X_2 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Xa) Xb))))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.d_list_char Eb (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool (tptp.dom_list_char_val Lb)))) (tptp.hBOOL (tptp.d_list_char E_b (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool (tptp.dom_list_char_val L_b)))))))) (forall ((A_1 $$unsorted) (A_13 $$unsorted)) (= (= (tptp.hAPP_val_option_val tptp.some_val A_1) (tptp.hAPP_val_option_val tptp.some_val A_13)) (= A_1 A_13))) (forall ((A_1 $$unsorted) (A_13 $$unsorted)) (= (= (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool A_13)) (= A_1 A_13))) (forall ((A_1 $$unsorted) (A_13 $$unsorted)) (= (= (tptp.hAPP_ty_option_ty tptp.some_ty A_1) (tptp.hAPP_ty_option_ty tptp.some_ty A_13)) (= A_1 A_13))) (forall ((A_1 $$unsorted) (A_13 $$unsorted)) (= (= (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val A_13)) (= A_1 A_13))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool F_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool F_1) A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool F_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool F_1) A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool F_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool F_1) A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool F_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool F_1) A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P449474095r_bool F_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool F_1) A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P943837928l_bool F_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool F_1) A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool F_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool F_1) A_1) B)))) (forall ((L_0_1 $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (let ((_let_5 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 Lb))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 (tptp.map_ad325961431ar_val L_0_1 Lb)))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.map_ad325961431ar_val L_0_1 L_b)))) _let_1))))))))) (forall ((Va_1 $$unsorted) (Va $$unsorted) (Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (let ((_let_1 (tptp.hAPP_f1213370163y_bool (tptp.lconf_496643946t_char Pa) Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 Lb) Ea)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (=> (= (tptp.hAPP_l512744617ion_ty Ea Va_1) (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))) Ea))))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F_1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F_1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F_1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F_1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F_1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F_1 A_1) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))))) (forall ((Pa $$unsorted) (Va $$unsorted) (Ta $$unsorted) (Hb $$unsorted) (H_b $$unsorted)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (tptp.hBOOL (tptp.conf_P373316194t_char Pa H_b Va Ta))))) (forall ((Pa $$unsorted) (Fs_1 $$unsorted) (X_1 $$unsorted) (Ta $$unsorted) (Hb $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1))) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (= (tptp.hBOOL (tptp.conf_P373316194t_char Pa (tptp.fun_up2041264236on_val Hb A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs_1))) X_1 Ta)) (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb X_1 Ta)))))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (tptp.hBOOL (tptp.member_nat M (tptp.dom_na996029170on_val L2))) (= (tptp.hAPP_n546249108on_val (tptp.map_ad61982421on_val L1 L2) M) (tptp.hAPP_n546249108on_val L2 M)))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_ty L2))) (= (tptp.hAPP_l512744617ion_ty (tptp.map_add_list_char_ty L1 L2) M) (tptp.hAPP_l512744617ion_ty L2 M)))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (tptp.hBOOL (tptp.member1251428284t_char M (tptp.dom_Pr695701035ar_val L2))) (= (tptp.hAPP_P2094403585on_val (tptp.map_ad1185064968ar_val L1 L2) M) (tptp.hAPP_P2094403585on_val L2 M)))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_val L2))) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val L1 L2) M) (tptp.hAPP_l207779698on_val L2 M)))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P943837928l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P449474095r_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P1235399154l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 Q_2)))))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member_nat M (tptp.dom_na996029170on_val L2)))) (= (tptp.hAPP_n546249108on_val (tptp.map_ad61982421on_val L1 L2) M) (tptp.hAPP_n546249108on_val L1 M)))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_ty L2)))) (= (tptp.hAPP_l512744617ion_ty (tptp.map_add_list_char_ty L1 L2) M) (tptp.hAPP_l512744617ion_ty L1 M)))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member1251428284t_char M (tptp.dom_Pr695701035ar_val L2)))) (= (tptp.hAPP_P2094403585on_val (tptp.map_ad1185064968ar_val L1 L2) M) (tptp.hAPP_P2094403585on_val L1 M)))) (forall ((L1 $$unsorted) (M $$unsorted) (L2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_val L2)))) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val L1 L2) M) (tptp.hAPP_l207779698on_val L1 M)))) (forall ((L2 $$unsorted) (M $$unsorted) (L1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member_nat M (tptp.dom_na996029170on_val L1)))) (= (tptp.hAPP_n546249108on_val (tptp.map_ad61982421on_val L1 L2) M) (tptp.hAPP_n546249108on_val L2 M)))) (forall ((L2 $$unsorted) (M $$unsorted) (L1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_ty L1)))) (= (tptp.hAPP_l512744617ion_ty (tptp.map_add_list_char_ty L1 L2) M) (tptp.hAPP_l512744617ion_ty L2 M)))) (forall ((L2 $$unsorted) (M $$unsorted) (L1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member1251428284t_char M (tptp.dom_Pr695701035ar_val L1)))) (= (tptp.hAPP_P2094403585on_val (tptp.map_ad1185064968ar_val L1 L2) M) (tptp.hAPP_P2094403585on_val L2 M)))) (forall ((L2 $$unsorted) (M $$unsorted) (L1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_val L1)))) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val L1 L2) M) (tptp.hAPP_l207779698on_val L2 M)))) (= tptp.produc1401528596l_bool tptp.produc769963999l_bool) (= tptp.produc85367547l_bool tptp.produc1326056646l_bool) (= tptp.produc1779501634r_bool tptp.produc1704639885r_bool) (= tptp.produc1741654153l_bool tptp.produc392960766l_bool) (= tptp.produc399384568l_bool tptp.produc1815960045l_bool) (= tptp.produc1988544340l_bool tptp.produc1911463199l_bool) (= tptp.produc2128769400l_bool tptp.produc1958875245l_bool) (forall ((M1 $$unsorted) (M2 $$unsorted) (M3 $$unsorted)) (= (tptp.map_ad1185064968ar_val M1 (tptp.map_ad1185064968ar_val M2 M3)) (tptp.map_ad1185064968ar_val (tptp.map_ad1185064968ar_val M1 M2) M3))) (forall ((M1 $$unsorted) (M2 $$unsorted) (M3 $$unsorted)) (= (tptp.map_ad61982421on_val M1 (tptp.map_ad61982421on_val M2 M3)) (tptp.map_ad61982421on_val (tptp.map_ad61982421on_val M1 M2) M3))) (forall ((M1 $$unsorted) (M2 $$unsorted) (M3 $$unsorted)) (= (tptp.map_add_list_char_ty M1 (tptp.map_add_list_char_ty M2 M3)) (tptp.map_add_list_char_ty (tptp.map_add_list_char_ty M1 M2) M3))) (forall ((M1 $$unsorted) (M2 $$unsorted) (M3 $$unsorted)) (= (tptp.map_ad325961431ar_val M1 (tptp.map_ad325961431ar_val M2 M3)) (tptp.map_ad325961431ar_val (tptp.map_ad325961431ar_val M1 M2) M3))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P147338735on_val (tptp.hAPP_f1939255213on_val tptp.produc226467351on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool (tptp.hAPP_f1024478733l_bool (tptp.hAPP_f1000689699l_bool tptp.cOMBB_263586492ol_val (tptp.hAPP_f40221303l_bool tptp.cOMBB_660939282ol_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P294971854on_val (tptp.hAPP_f1090181127on_val tptp.produc996400752on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool (tptp.hAPP_f1150574413l_bool (tptp.hAPP_f295212021l_bool tptp.cOMBB_1150072860ol_bop (tptp.hAPP_f1936466825l_bool tptp.cOMBB_840638159al_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P1883022279on_val (tptp.hAPP_f48091733on_val tptp.produc457808617on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool (tptp.hAPP_f1056413453r_bool (tptp.hAPP_f26812903r_bool tptp.cOMBB_1271765500t_char (tptp.hAPP_f1683814075r_bool tptp.cOMBB_315503848t_char _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P1066308164on_val (tptp.hAPP_f372404869on_val tptp.produc636580408on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool (tptp.hAPP_f1440866903l_bool (tptp.hAPP_f1138830003l_bool tptp.cOMBB_97313278t_char (tptp.hAPP_f1508793015l_bool tptp.cOMBB_486278459on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P789556885on_val (tptp.hAPP_f1520199827on_val tptp.produc1174947465on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool (tptp.hAPP_f653692369l_bool (tptp.hAPP_f516738477l_bool tptp.cOMBB_819439237t_char (tptp.hAPP_f1825030711l_bool tptp.cOMBB_877741809on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P1760219823on_val (tptp.hAPP_f394183983on_val tptp.produc1003071703on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool (tptp.hAPP_f1241216909l_bool (tptp.hAPP_f1438732387l_bool tptp.cOMBB_635947099on_val (tptp.hAPP_f881985847l_bool tptp.cOMBB_1083177073on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool _let_1 (tptp.hAPP_P2013623467al_val (tptp.hAPP_f902010623al_val tptp.produc1260869559al_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f1153851723l_bool (tptp.hAPP_f151189509l_bool tptp.cOMBB_223841226on_val (tptp.hAPP_f1589017327l_bool tptp.cOMBB_558176806on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P943837928l_bool _let_1 (tptp.hAPP_P1067836940al_val (tptp.hAPP_f928795841al_val tptp.produc234747160al_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f828778154l_bool (tptp.hAPP_f1572306499l_bool tptp.cOMBB_1210977579on_val (tptp.hAPP_f1777594159l_bool tptp.cOMBB_448128005on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P449474095r_bool _let_1 (tptp.hAPP_P193916115t_char (tptp.hAPP_f15579599t_char tptp.produc576623071t_char G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f1996106275l_bool (tptp.hAPP_f1550515381l_bool tptp.cOMBB_2040779506on_val (tptp.hAPP_f1804599279l_bool tptp.cOMBB_678146046on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P1235399154l_bool _let_1 (tptp.hAPP_P1936714534on_val (tptp.hAPP_f1271281289on_val tptp.produc928527642on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f1145600492l_bool (tptp.hAPP_f630712985l_bool tptp.cOMBB_1962662865on_val (tptp.hAPP_f2020099865l_bool tptp.cOMBB_1543649755on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool _let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_f1309113673on_val tptp.produc901351817on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f850751421l_bool (tptp.hAPP_f399538905l_bool tptp.cOMBB_1466889536on_val (tptp.hAPP_f1233687287l_bool tptp.cOMBB_171276332on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1))) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool _let_1 (tptp.hAPP_P2024243179on_val (tptp.hAPP_f204556415on_val tptp.produc1148763895on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f927043595l_bool (tptp.hAPP_f1043869573l_bool tptp.cOMBB_1259202826on_val (tptp.hAPP_f2052660463l_bool tptp.cOMBB_1292453606on_val _let_1)) G)) P_1))))) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool (tptp.produc886919678l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool (tptp.produc1555310053l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool (tptp.produc95371820r_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool (tptp.produc481748255l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool (tptp.produc1911975310l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool (tptp.produc1159035454l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.produc2062775566l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc886919678l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc1555310053l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc95371820r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc481748255l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc1911975310l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc1159035454l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc2062775566l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1)) F_1)) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool (tptp.hAPP_f902521097l_bool (tptp.hAPP_f1432609211l_bool tptp.cOMBB_1056322480ol_val (tptp.hAPP_f2051274555l_bool tptp.cOMBB_bool_bool_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_2)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool Q_1) X_2))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool (tptp.hAPP_f2092385043l_bool (tptp.hAPP_f1830813581l_bool tptp.cOMBB_292554190ol_bop (tptp.hAPP_f653851379l_bool tptp.cOMBB_2121771659al_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_2)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool Q_1) X_2))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool (tptp.hAPP_f1818217r_bool (tptp.hAPP_f336522659r_bool tptp.cOMBB_1033454012t_char (tptp.hAPP_f1861125939r_bool tptp.cOMBB_1091123364t_char (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_2)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool Q_1) X_2))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool (tptp.hAPP_f624730965l_bool (tptp.hAPP_f1399435963l_bool tptp.cOMBB_73690268t_char (tptp.hAPP_f10956301l_bool tptp.cOMBB_1572981887on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_2)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool Q_1) X_2))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool (tptp.hAPP_f546724245l_bool (tptp.hAPP_f917296015l_bool tptp.cOMBB_740252943t_char (tptp.hAPP_f1308714617l_bool tptp.cOMBB_338347573on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_2)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool Q_1) X_2))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool (tptp.hAPP_f641257349l_bool (tptp.hAPP_f2032347769l_bool tptp.cOMBB_466903633on_val (tptp.hAPP_f1560238713l_bool tptp.cOMBB_672625589on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_2)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool Q_1) X_2))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f555424277l_bool (tptp.hAPP_f1734879897l_bool tptp.cOMBB_1522540928on_val (tptp.hAPP_f1863694447l_bool tptp.cOMBB_383678192on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_2)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool Q_1) X_2))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (U $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) _let_1))) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((T_a $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Va $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char Pa Ta T_a)) (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va T_a))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F_1 A_1) B)))) (forall ((H_b $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (let ((_let_1 (tptp.lconf_496643946t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 Hb) Lb) Ea)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 H_b) Lb) Ea)))))) (forall ((Va $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char (tptp.val_list_char Va) E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_2)) (tptp.red Pa)))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member_nat M (tptp.dom_nat_val E2)))) (= (tptp.map_add_nat_val (tptp.fun_up846528380on_val E1 M _let_1) E2) (tptp.fun_up846528380on_val (tptp.map_add_nat_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member649088532al_val M (tptp.dom_Pr1854948307al_val E2)))) (= (tptp.map_ad1139121712al_val (tptp.fun_up2650881on_val E1 M _let_1) E2) (tptp.fun_up2650881on_val (tptp.map_ad1139121712al_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member1417904245al_val M (tptp.dom_Pr934474290al_val E2)))) (= (tptp.map_ad1808327055al_val (tptp.fun_up1370188258on_val E1 M _let_1) E2) (tptp.fun_up1370188258on_val (tptp.map_ad1808327055al_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member1542417277on_val M (tptp.dom_Pr881307234al_val E2)))) (= (tptp.map_ad1443463365al_val (tptp.fun_up958248092on_val E1 M _let_1) E2) (tptp.fun_up958248092on_val (tptp.map_ad1443463365al_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member763590124on_val M (tptp.dom_Pr1286015283al_val E2)))) (= (tptp.map_ad2099161878al_val (tptp.fun_up106272779on_val E1 M _let_1) E2) (tptp.fun_up106272779on_val (tptp.map_ad2099161878al_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member840932460on_val M (tptp.dom_Pr594962099al_val E2)))) (= (tptp.map_ad1263605142al_val (tptp.fun_up1250448779on_val E1 M _let_1) E2) (tptp.fun_up1250448779on_val (tptp.map_ad1263605142al_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool U1))) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_li347256130r_bool E2)))) (= (tptp.map_ad172895647r_bool (tptp.fun_up1686981986r_bool E1 M _let_1) E2) (tptp.fun_up1686981986r_bool (tptp.map_ad172895647r_bool E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool U1))) (=> (not (tptp.hBOOL (tptp.member_nat M (tptp.dom_na1091370954r_bool E2)))) (= (tptp.map_ad1655582893r_bool (tptp.fun_up1256311364r_bool E1 M _let_1) E2) (tptp.fun_up1256311364r_bool (tptp.map_ad1655582893r_bool E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool U1))) (=> (not (tptp.hBOOL (tptp.member649088532al_val M (tptp.dom_Pr482007707r_bool E2)))) (= (tptp.map_ad1572886776r_bool (tptp.fun_up387678665r_bool E1 M _let_1) E2) (tptp.fun_up387678665r_bool (tptp.map_ad1572886776r_bool E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool U1))) (=> (not (tptp.hBOOL (tptp.member1417904245al_val M (tptp.dom_Pr122328314r_bool E2)))) (= (tptp.map_ad2023008343r_bool (tptp.fun_up965897386r_bool E1 M _let_1) E2) (tptp.fun_up965897386r_bool (tptp.map_ad2023008343r_bool E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool U1))) (=> (not (tptp.hBOOL (tptp.member1542417277on_val M (tptp.dom_Pr1770328362r_bool E2)))) (= (tptp.map_ad1209909133r_bool (tptp.fun_up1281163108r_bool E1 M _let_1) E2) (tptp.fun_up1281163108r_bool (tptp.map_ad1209909133r_bool E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool U1))) (=> (not (tptp.hBOOL (tptp.member763590124on_val M (tptp.dom_Pr713105403r_bool E2)))) (= (tptp.map_ad1863687646r_bool (tptp.fun_up1114451667r_bool E1 M _let_1) E2) (tptp.fun_up1114451667r_bool (tptp.map_ad1863687646r_bool E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool U1))) (=> (not (tptp.hBOOL (tptp.member840932460on_val M (tptp.dom_Pr548306299r_bool E2)))) (= (tptp.map_ad478808158r_bool (tptp.fun_up1836969043r_bool E1 M _let_1) E2) (tptp.fun_up1836969043r_bool (tptp.map_ad478808158r_bool E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.member_nat M (tptp.dom_nat_ty E2)))) (= (tptp.map_add_nat_ty (tptp.fun_up421284275ion_ty E1 M _let_1) E2) (tptp.fun_up421284275ion_ty (tptp.map_add_nat_ty E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.member649088532al_val M (tptp.dom_Pr1536367242val_ty E2)))) (= (tptp.map_ad1402016615val_ty (tptp.fun_up638349240ion_ty E1 M _let_1) E2) (tptp.fun_up638349240ion_ty (tptp.map_ad1402016615val_ty E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.member1417904245al_val M (tptp.dom_Pr585943145val_ty E2)))) (= (tptp.map_ad1877333574val_ty (tptp.fun_up430376729ion_ty E1 M _let_1) E2) (tptp.fun_up430376729ion_ty (tptp.map_ad1877333574val_ty E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.member1542417277on_val M (tptp.dom_Pr1623760025val_ty E2)))) (= (tptp.map_ad689713276val_ty (tptp.fun_up576032467ion_ty E1 M _let_1) E2) (tptp.fun_up576032467ion_ty (tptp.map_ad689713276val_ty E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.member763590124on_val M (tptp.dom_Pr1523486698val_ty E2)))) (= (tptp.map_ad451392333val_ty (tptp.fun_up359791042ion_ty E1 M _let_1) E2) (tptp.fun_up359791042ion_ty (tptp.map_ad451392333val_ty E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.member840932460on_val M (tptp.dom_Pr1305783658val_ty E2)))) (= (tptp.map_ad860315085val_ty (tptp.fun_up160134978ion_ty E1 M _let_1) E2) (tptp.fun_up160134978ion_ty (tptp.map_ad860315085val_ty E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_li2046124138on_val E2)))) (= (tptp.map_ad1982313927on_val (tptp.fun_up252238218on_val E1 M _let_1) E2) (tptp.fun_up252238218on_val (tptp.map_ad1982313927on_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.member649088532al_val M (tptp.dom_Pr1291804355on_val E2)))) (= (tptp.map_ad564247072on_val (tptp.fun_up768537841on_val E1 M _let_1) E2) (tptp.fun_up768537841on_val (tptp.map_ad564247072on_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.member1417904245al_val M (tptp.dom_Pr717813794on_val E2)))) (= (tptp.map_ad784656511on_val (tptp.fun_up307314898on_val E1 M _let_1) E2) (tptp.fun_up307314898on_val (tptp.map_ad784656511on_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.member1542417277on_val M (tptp.dom_Pr1989649490on_val E2)))) (= (tptp.map_ad2048931253on_val (tptp.fun_up1995148684on_val E1 M _let_1) E2) (tptp.fun_up1995148684on_val (tptp.map_ad2048931253on_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.member763590124on_val M (tptp.dom_Pr364577827on_val E2)))) (= (tptp.map_ad181331206on_val (tptp.fun_up1177725947on_val E1 M _let_1) E2) (tptp.fun_up1177725947on_val (tptp.map_ad181331206on_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.member840932460on_val M (tptp.dom_Pr805691811on_val E2)))) (= (tptp.map_ad435015558on_val (tptp.fun_up683731323on_val E1 M _let_1) E2) (tptp.fun_up683731323on_val (tptp.map_ad435015558on_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_ty E2)))) (= (tptp.map_add_list_char_ty (tptp.fun_up424764369ion_ty E1 M _let_1) E2) (tptp.fun_up424764369ion_ty (tptp.map_add_list_char_ty E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.member_nat M (tptp.dom_na996029170on_val E2)))) (= (tptp.map_ad61982421on_val (tptp.fun_up2041264236on_val E1 M _let_1) E2) (tptp.fun_up2041264236on_val (tptp.map_ad61982421on_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member1251428284t_char M (tptp.dom_Pr695701035ar_val E2)))) (= (tptp.map_ad1185064968ar_val (tptp.fun_up204312361on_val E1 M _let_1) E2) (tptp.fun_up204312361on_val (tptp.map_ad1185064968ar_val E1 E2) M _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.member_list_char M (tptp.dom_list_char_val E2)))) (= (tptp.map_ad325961431ar_val (tptp.fun_up1149430426on_val E1 M _let_1) E2) (tptp.fun_up1149430426on_val (tptp.map_ad325961431ar_val E1 E2) M _let_1))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (U $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_nat_option_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member_nat A_1 (tptp.dom_nat_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P2074628057on_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member649088532al_val A_1 (tptp.dom_Pr1854948307al_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P930111162on_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member1417904245al_val A_1 (tptp.dom_Pr934474290al_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P2111013316on_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member1542417277on_val A_1 (tptp.dom_Pr881307234al_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P509577523on_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member763590124on_val A_1 (tptp.dom_Pr1286015283al_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1594728115on_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member840932460on_val A_1 (tptp.dom_Pr594962099al_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_l1288616506r_bool M A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool B)) (tptp.hBOOL (tptp.member_list_char A_1 (tptp.dom_li347256130r_bool M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_n2063106924r_bool M A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool B)) (tptp.hBOOL (tptp.member_nat A_1 (tptp.dom_na1091370954r_bool M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P926760609r_bool M A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool B)) (tptp.hBOOL (tptp.member649088532al_val A_1 (tptp.dom_Pr482007707r_bool M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P584663426r_bool M A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool B)) (tptp.hBOOL (tptp.member1417904245al_val A_1 (tptp.dom_Pr122328314r_bool M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1501097100r_bool M A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool B)) (tptp.hBOOL (tptp.member1542417277on_val A_1 (tptp.dom_Pr1770328362r_bool M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1529692155r_bool M A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool B)) (tptp.hBOOL (tptp.member763590124on_val A_1 (tptp.dom_Pr713105403r_bool M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1989760379r_bool M A_1) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool B)) (tptp.hBOOL (tptp.member840932460on_val A_1 (tptp.dom_Pr548306299r_bool M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty M A_1) (tptp.hAPP_ty_option_ty tptp.some_ty B)) (tptp.hBOOL (tptp.member_list_char A_1 (tptp.dom_list_char_ty M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_nat_option_ty M A_1) (tptp.hAPP_ty_option_ty tptp.some_ty B)) (tptp.hBOOL (tptp.member_nat A_1 (tptp.dom_nat_ty M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1578317968ion_ty M A_1) (tptp.hAPP_ty_option_ty tptp.some_ty B)) (tptp.hBOOL (tptp.member649088532al_val A_1 (tptp.dom_Pr1536367242val_ty M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P50259953ion_ty M A_1) (tptp.hAPP_ty_option_ty tptp.some_ty B)) (tptp.hBOOL (tptp.member1417904245al_val A_1 (tptp.dom_Pr585943145val_ty M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1228500987ion_ty M A_1) (tptp.hAPP_ty_option_ty tptp.some_ty B)) (tptp.hBOOL (tptp.member1542417277on_val A_1 (tptp.dom_Pr1623760025val_ty M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P142343914ion_ty M A_1) (tptp.hAPP_ty_option_ty tptp.some_ty B)) (tptp.hBOOL (tptp.member763590124on_val A_1 (tptp.dom_Pr1523486698val_ty M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P121427050ion_ty M A_1) (tptp.hAPP_ty_option_ty tptp.some_ty B)) (tptp.hBOOL (tptp.member840932460on_val A_1 (tptp.dom_Pr1305783658val_ty M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val M A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.member_nat A_1 (tptp.dom_na996029170on_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_l195239522on_val M A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.member_list_char A_1 (tptp.dom_li2046124138on_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1788447177on_val M A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.member649088532al_val A_1 (tptp.dom_Pr1291804355on_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1230564778on_val M A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.member1417904245al_val A_1 (tptp.dom_Pr717813794on_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P1510515380on_val M A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.member1542417277on_val A_1 (tptp.dom_Pr1989649490on_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P722986275on_val M A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.member763590124on_val A_1 (tptp.dom_Pr364577827on_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P89750179on_val M A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.member840932460on_val A_1 (tptp.dom_Pr805691811on_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_P2094403585on_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member1251428284t_char A_1 (tptp.dom_Pr695701035ar_val M))))) (forall ((M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_l207779698on_val M A_1) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.member_list_char A_1 (tptp.dom_list_char_val M))))) (forall ((Ta $$unsorted) (V_a $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val V_a)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) Eb))) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char V_a)) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))) _let_1)))))))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F1 A_1) B)))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F1 A_1) B)))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F1 A_1) B)))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F1 A_1) B)))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F1 A_1) B)))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F1 A_1) B)))) (forall ((F1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F_1 A_1) B)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F_1 A_1) B)))) (forall ((M $$unsorted) (N $$unsorted) (K $$unsorted) (Xx $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Xx))) (=> (= (tptp.hAPP_P2094403585on_val N K) _let_1) (= (tptp.hAPP_P2094403585on_val (tptp.map_ad1185064968ar_val M N) K) _let_1)))) (forall ((M $$unsorted) (N $$unsorted) (K $$unsorted) (Xx $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty Xx))) (=> (= (tptp.hAPP_l512744617ion_ty N K) _let_1) (= (tptp.hAPP_l512744617ion_ty (tptp.map_add_list_char_ty M N) K) _let_1)))) (forall ((M $$unsorted) (N $$unsorted) (K $$unsorted) (Xx $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Xx))) (=> (= (tptp.hAPP_n546249108on_val N K) _let_1) (= (tptp.hAPP_n546249108on_val (tptp.map_ad61982421on_val M N) K) _let_1)))) (forall ((M $$unsorted) (N $$unsorted) (K $$unsorted) (Xx $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Xx))) (=> (= (tptp.hAPP_l207779698on_val N K) _let_1) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val M N) K) _let_1)))) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f1363667773l_bool (tptp.hAPP_f1050935001l_bool tptp.cOMBB_1153617344on_val (tptp.hAPP_f2057883639l_bool tptp.cOMBB_1750801836on_val F_1)) tptp.produc899768717on_val)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool (tptp.hAPP_f1342895119l_bool (tptp.hAPP_f639265145l_bool tptp.cOMBB_364363975on_val (tptp.hAPP_f365540729l_bool tptp.cOMBB_1466662571on_val F_1)) tptp.produc1441475159on_val)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool (tptp.hAPP_f439412817l_bool (tptp.hAPP_f1725502637l_bool tptp.cOMBB_1027621637t_char (tptp.hAPP_f10074679l_bool tptp.cOMBB_1759207793on_val F_1)) tptp.produc1259058957on_val)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool (tptp.hAPP_f21084934l_bool (tptp.hAPP_f1136596083l_bool tptp.cOMBB_1895512847t_char (tptp.hAPP_f1046102489l_bool tptp.cOMBB_572737002on_val F_1)) tptp.produc823076510on_val)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool (tptp.hAPP_f1633332187r_bool (tptp.hAPP_f737710471r_bool tptp.cOMBB_507649738t_char (tptp.hAPP_f775361359r_bool tptp.cOMBB_1749175574t_char F_1)) tptp.produc5062597t_char)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool (tptp.hAPP_f42352062l_bool (tptp.hAPP_f1561329507l_bool tptp.cOMBB_1718324963ol_bop (tptp.hAPP_f967695645l_bool tptp.cOMBB_1353907126al_val F_1)) tptp.produc621191550al_val)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool (tptp.hAPP_f2044570451l_bool (tptp.hAPP_f1631509563l_bool tptp.cOMBB_1730140646ol_val (tptp.hAPP_f664873147l_bool tptp.cOMBB_1583755916ol_val F_1)) tptp.product_Pair_val_val)) F_1)) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member_list_char X_1 A_8)) (tptp.hBOOL (tptp.hAPP_list_char_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member_nat X_1 A_8)) (tptp.hBOOL (tptp.hAPP_nat_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member649088532al_val X_1 A_8)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member1417904245al_val X_1 A_8)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member1542417277on_val X_1 A_8)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member763590124on_val X_1 A_8)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member840932460on_val X_1 A_8)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member773094996on_val X_1 A_8)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool A_8 X_1)))) (forall ((X_1 $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.member1251428284t_char X_1 A_8)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool A_8 X_1)))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 E_b)) S)) _let_1))))) (forall ((E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char Eb E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char E_b E_2)) S)) _let_1))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool F_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool F_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool F_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool F_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool F_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool F_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool F_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool F_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool F_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool F_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool F_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool F_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool F_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool F_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= (tptp.map_ad325961431ar_val F_1 (tptp.fun_up1149430426on_val G X_1 _let_1)) (tptp.fun_up1149430426on_val (tptp.map_ad325961431ar_val F_1 G) X_1 _let_1)))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty Y_2))) (= (tptp.map_add_list_char_ty F_1 (tptp.fun_up424764369ion_ty G X_1 _let_1)) (tptp.fun_up424764369ion_ty (tptp.map_add_list_char_ty F_1 G) X_1 _let_1)))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_2))) (= (tptp.map_ad61982421on_val F_1 (tptp.fun_up2041264236on_val G X_1 _let_1)) (tptp.fun_up2041264236on_val (tptp.map_ad61982421on_val F_1 G) X_1 _let_1)))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= (tptp.map_ad1185064968ar_val F_1 (tptp.fun_up204312361on_val G X_1 _let_1)) (tptp.fun_up204312361on_val (tptp.map_ad1185064968ar_val F_1 G) X_1 _let_1)))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool F_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool F_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool F_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool F_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool F_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool F_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B))))) (forall ((F_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool F_1) A_1) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool F_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B))))) (forall ((Va_1 $$unsorted) (Va $$unsorted) (Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (let ((_let_1 (tptp.hAPP_f1213370163y_bool (tptp.lconf_496643946t_char Pa) Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 Lb) Ea)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))) (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta)))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) Eb T_a)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.block_list_char Va_1 Ta Eb) T_a)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool C X_2) Y_1)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool C X_2) Y_1)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C X_2) Y_1)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool C) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool C X_2) Y_1)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool C) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool C X_2) Y_1)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool C) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_bop X_2) (=> (= P_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool C X_2) Y_1))))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool C) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool C X_2) Y_1)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B_1)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool C A) B_1)))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool C A) B_1)))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B_1)) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C A) B_1)))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B_1)) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool C A) B_1)))) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B_1)) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool C A) B_1)))) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (tptp.is_bop A) (=> (= P_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B_1)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool C A) B_1))))) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool C A) B_1)))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool C) P_1)))) (forall ((E_2 $$unsorted) (T_2_1 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1 $$unsorted) (T_1_2 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1 T_1_2)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_2 T_2_1)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.seq_list_char E_1 E_2) T_2_1))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool (tptp.lconf_496643946t_char Pa) Hb) Lb) Ea)) (forall ((V_4 $$unsorted) (V_3 $$unsorted)) (=> (= (tptp.hAPP_l207779698on_val Lb V_4) (tptp.hAPP_val_option_val tptp.some_val V_3)) (exists ((T $$unsorted)) (and (= (tptp.hAPP_l512744617ion_ty Ea V_4) (tptp.hAPP_ty_option_ty tptp.some_ty T)) (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb V_3 T)))))))) (forall ((Va_1 $$unsorted) (Va $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 (tptp.val_list_char Va))) (tptp.hAPP_f1727192346on_val _let_1 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) (tptp.red Pa))))) (forall ((Hb $$unsorted)) (tptp.hBOOL (tptp.hext Hb Hb))) (forall ((G $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool G (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_2) Y_1))))) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) G))) (forall ((G $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F_1 X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool G (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_2) Y_1))))) (= (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1) G))) (forall ((G $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F_1 X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool G (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_2) Y_1))))) (= (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1) G))) (forall ((G $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F_1 X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool G (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_2) Y_1))))) (= (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1) G))) (forall ((G $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F_1 X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool G (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_2) Y_1))))) (= (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1) G))) (forall ((G $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_bop X_2) (= (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F_1 X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool G 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(tptp.hAPP_b108134598l_bool C A_1) B))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P33140378l_bool (tptp.hAPP_f1590577855l_bool tptp.produc530227576l_bool C) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.member_list_char Z (tptp.hAPP_v1940296605r_bool (tptp.hAPP_v1814257440r_bool C A_1) B))) (tptp.hBOOL (tptp.member_list_char Z (tptp.hAPP_P343853784r_bool (tptp.hAPP_f1623341439r_bool tptp.produc726689536r_bool C) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.member_nat Z (tptp.hAPP_v618097829t_bool (tptp.hAPP_v897668472t_bool C A_1) B))) (tptp.hBOOL (tptp.member_nat Z (tptp.hAPP_P292217386t_bool (tptp.hAPP_f1203122723t_bool tptp.produc445472770t_bool C) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.member649088532al_val Z (tptp.hAPP_v1285778436l_bool (tptp.hAPP_v2145502215l_bool C A_1) B))) (tptp.hBOOL (tptp.member649088532al_val Z (tptp.hAPP_P1815899455l_bool (tptp.hAPP_f1336948941l_bool tptp.produc1289468263l_bool C) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.member1417904245al_val Z (tptp.hAPP_v1775873509l_bool (tptp.hAPP_v620871016l_bool C A_1) B))) (tptp.hBOOL (tptp.member1417904245al_val Z (tptp.hAPP_P553120288l_bool (tptp.hAPP_f820838927l_bool tptp.produc970139208l_bool C) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.member1542417277on_val Z (tptp.hAPP_v572032837l_bool (tptp.hAPP_v1499173912l_bool C A_1) B))) (tptp.hBOOL (tptp.member1542417277on_val Z (tptp.hAPP_P1971671882l_bool (tptp.hAPP_f1724962851l_bool tptp.produc10100002l_bool C) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_v958864436l_bool (tptp.hAPP_v1921713543l_bool C A_1) B))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1389845689l_bool (tptp.hAPP_f727795555l_bool tptp.produc1267303057l_bool C) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_v1688016564l_bool (tptp.hAPP_v1739888647l_bool C A_1) B))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P693658169l_bool (tptp.hAPP_f647637603l_bool tptp.produc1722298385l_bool C) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B)))))) (forall ((Fs_1 $$unsorted) (Hb $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1))) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.hext Hb (tptp.fun_up2041264236on_val Hb A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs_1)))))))) (forall ((H_3 $$unsorted) (Hb $$unsorted) (H_b $$unsorted)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (=> (tptp.hBOOL (tptp.hext H_b H_3)) (tptp.hBOOL (tptp.hext Hb H_3))))) (forall ((H_b $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (tptp.hBOOL (tptp.wTrt Pa H_b Ea Eb Ta))))) (forall ((A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted) (Hb $$unsorted) (H_b $$unsorted)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs))) (exists ((Fs_3 $$unsorted)) (= (tptp.hAPP_n546249108on_val H_b A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs_3))))))) (forall ((Hb $$unsorted) (H_b $$unsorted)) (= (tptp.hBOOL (tptp.hext Hb H_b)) (forall ((A $$unsorted) (C_2 $$unsorted) (Fs_2 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_2) Fs_2))) (exists ((Fs_3 $$unsorted)) (= (tptp.hAPP_n546249108on_val H_b A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_2) Fs_3)))))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)) (tptp.hBOOL (tptp.member649088532al_val Z (tptp.hAPP_v1285778436l_bool (tptp.hAPP_v2145502215l_bool C A) B_1))))) (tptp.hBOOL (tptp.member649088532al_val Z (tptp.hAPP_P1815899455l_bool (tptp.hAPP_f1336948941l_bool tptp.produc1289468263l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)) (tptp.hBOOL (tptp.member1417904245al_val Z (tptp.hAPP_v1775873509l_bool (tptp.hAPP_v620871016l_bool C A) B_1))))) (tptp.hBOOL (tptp.member1417904245al_val Z (tptp.hAPP_P553120288l_bool (tptp.hAPP_f820838927l_bool tptp.produc970139208l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)) (tptp.hBOOL (tptp.member1542417277on_val Z (tptp.hAPP_v572032837l_bool (tptp.hAPP_v1499173912l_bool C A) B_1))))) (tptp.hBOOL (tptp.member1542417277on_val Z (tptp.hAPP_P1971671882l_bool (tptp.hAPP_f1724962851l_bool tptp.produc10100002l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_v958864436l_bool (tptp.hAPP_v1921713543l_bool C A) B_1))))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1389845689l_bool (tptp.hAPP_f727795555l_bool tptp.produc1267303057l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B_1)) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_v1688016564l_bool (tptp.hAPP_v1739888647l_bool C A) B_1))))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P693658169l_bool (tptp.hAPP_f647637603l_bool tptp.produc1722298385l_bool C) P_1))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (A_8 $$unsorted)) (= (tptp.hBOOL (tptp.d_list_char (tptp.lAss_list_char Va_1 Eb) A_8)) (tptp.hBOOL (tptp.d_list_char Eb A_8)))) (forall ((A_15 $$unsorted) (Ty_7 $$unsorted) (Exp_13 $$unsorted) (A_14 $$unsorted) (Exp_12 $$unsorted)) (not (= (tptp.block_list_char A_15 Ty_7 Exp_13) (tptp.lAss_list_char A_14 Exp_12)))) (forall ((Val_7 $$unsorted) (Val_6 $$unsorted)) (= (= (tptp.val_list_char Val_7) (tptp.val_list_char Val_6)) (= Val_7 Val_6))) (forall ((Exp1_7 $$unsorted) (Exp2_7 $$unsorted) (Exp1_6 $$unsorted) (Exp2_6 $$unsorted)) (= (= (tptp.seq_list_char Exp1_7 Exp2_7) (tptp.seq_list_char Exp1_6 Exp2_6)) (and (= Exp1_7 Exp1_6) (= Exp2_7 Exp2_6)))) (forall ((A_1 $$unsorted) (Exp_11 $$unsorted) (A_13 $$unsorted) (Exp_10 $$unsorted)) (= (= (tptp.lAss_list_char A_1 Exp_11) (tptp.lAss_list_char A_13 Exp_10)) (and (= A_1 A_13) (= Exp_11 Exp_10)))) (forall ((A_1 $$unsorted) (Ty_6 $$unsorted) (Exp_11 $$unsorted) (A_13 $$unsorted) (Ty_5 $$unsorted) (Exp_10 $$unsorted)) (= (= (tptp.block_list_char A_1 Ty_6 Exp_11) (tptp.block_list_char A_13 Ty_5 Exp_10)) (and (= A_1 A_13) (= Ty_6 Ty_5) (= Exp_11 Exp_10)))) (forall ((Val_5 $$unsorted) (Exp1_5 $$unsorted) (Exp2_5 $$unsorted)) (not (= (tptp.val_list_char Val_5) (tptp.seq_list_char Exp1_5 Exp2_5)))) (forall ((Val_4 $$unsorted) (A_12 $$unsorted) (Exp_9 $$unsorted)) (not (= (tptp.val_list_char Val_4) (tptp.lAss_list_char A_12 Exp_9)))) (forall ((Exp1_4 $$unsorted) (Exp2_4 $$unsorted) (Val_3 $$unsorted)) (not (= (tptp.seq_list_char Exp1_4 Exp2_4) (tptp.val_list_char Val_3)))) (forall ((A_11 $$unsorted) (Exp_8 $$unsorted) (Val_2 $$unsorted)) (not (= (tptp.lAss_list_char A_11 Exp_8) (tptp.val_list_char Val_2)))) (forall ((Val_1 $$unsorted) (A_10 $$unsorted) (Ty_4 $$unsorted) (Exp_7 $$unsorted)) (not (= (tptp.val_list_char Val_1) (tptp.block_list_char A_10 Ty_4 Exp_7)))) (forall ((A_9 $$unsorted) (Ty_3 $$unsorted) (Exp_6 $$unsorted) (Val $$unsorted)) (not (= (tptp.block_list_char A_9 Ty_3 Exp_6) (tptp.val_list_char Val)))) (forall ((Va $$unsorted) (A_8 $$unsorted)) (tptp.hBOOL (tptp.d_list_char (tptp.val_list_char Va) A_8))) (forall ((Exp1_3 $$unsorted) (Exp2_3 $$unsorted) (A_7 $$unsorted) (Exp_5 $$unsorted)) (not (= (tptp.seq_list_char Exp1_3 Exp2_3) (tptp.lAss_list_char A_7 Exp_5)))) (forall ((A_6 $$unsorted) (Exp_4 $$unsorted) (Exp1_2 $$unsorted) (Exp2_2 $$unsorted)) (not (= (tptp.lAss_list_char A_6 Exp_4) (tptp.seq_list_char Exp1_2 Exp2_2)))) (forall ((Exp1_1 $$unsorted) (Exp2_1 $$unsorted) (A_5 $$unsorted) (Ty_2 $$unsorted) (Exp_3 $$unsorted)) (not (= (tptp.seq_list_char Exp1_1 Exp2_1) (tptp.block_list_char A_5 Ty_2 Exp_3)))) (forall ((A_4 $$unsorted) (Exp_2 $$unsorted) (A_3 $$unsorted) (Ty_1 $$unsorted) (Exp_1 $$unsorted)) (not (= (tptp.lAss_list_char A_4 Exp_2) (tptp.block_list_char A_3 Ty_1 Exp_1)))) (forall ((A_2 $$unsorted) (Ty $$unsorted) (Exp $$unsorted) (Exp1 $$unsorted) (Exp2 $$unsorted)) (not (= (tptp.block_list_char A_2 Ty Exp) (tptp.seq_list_char Exp1 Exp2)))) (forall ((Fs_1 $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Hb $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1))) (let ((_let_2 (tptp.hAPP_f900686428on_val _let_1 Fs_1))) (let ((_let_3 (tptp.hconf_97414254t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_3 Hb)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.oconf_1869808039t_char Pa Hb) _let_2)) (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_3 (tptp.fun_up2041264236on_val Hb A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val _let_2))))))))))) (forall ((Ta $$unsorted) (V_a $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va)))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val V_a)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) Eb)) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char V_a)) E_b))) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))))))) (forall ((Ta $$unsorted) (Va $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val)))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val Va)) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta Eb)) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))) _let_1))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Eb $$unsorted) (T_a $$unsorted) (Ea $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty Ea Va_1) (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb T_a)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char Pa T_a Ta)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.lAss_list_char Va_1 Eb) tptp.void)))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (Va $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) _let_1)))))) (forall ((H_b $$unsorted) (Hb $$unsorted)) (=> (forall ((A $$unsorted) (C_2 $$unsorted) (Fs_2 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_2) Fs_2))) (exists ((Fs_3 $$unsorted)) (= (tptp.hAPP_n546249108on_val H_b A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_2) Fs_3)))))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val _let_1 Lb)) (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))))) (forall ((Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.lAss_list_char Va_1 Eb) S_2) (tptp.lAss_list_char Va_1 E_b)) S)))) (forall ((E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char Eb E_2) S_2) (tptp.seq_list_char E_b E_2)) S)))) (forall ((Ta $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) tptp.none_val) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta Eb) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta E_b)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))))))))) (forall ((Pa $$unsorted) (Va $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char (tptp.val_list_char Va) E_2) S_2) E_2) S_2))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (U $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta _let_1) S_2) _let_1) S_2)))) (forall ((E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char Eb E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char E_b E_2)) S)) _let_1))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 E_b)) S)) _let_1))))) (forall ((Ta $$unsorted) (Va $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val Va)) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta Eb) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) E_b))) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))))))))) (forall ((E_2 $$unsorted) (E_2_1 $$unsorted) (S_2_1 $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (V_1 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2_1) S_2_1))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char V_1)) S_1)) _let_1)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char E_1 E_2)) S_0)) _let_2) _let_1))))))) (forall ((Pa $$unsorted) (X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa X_2 Xa) Xb) Xc)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_2) Xa)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Xb) Xc)) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (U $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) _let_1)) S_2) _let_1) S_2)))) (forall ((Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val)))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) tptp.none_val) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta Eb)) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta E_b)) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))) _let_1))))))))) (forall ((L_0_1 $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (let ((_let_5 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 Lb))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 (tptp.map_ad325961431ar_val L_0_1 Lb)))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.map_ad325961431ar_val L_0_1 L_b)))) _let_1))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Va $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.lAss_list_char Va Eb) Ta)) (not (=> (= Ta tptp.void) (forall ((T $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty Ea Va) (tptp.hAPP_ty_option_ty tptp.some_ty T)) (forall ((T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb T_3)) (not (tptp.hBOOL (tptp.widen_2090681816t_char Pa T_3 T))))))))))) (forall ((Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) Eb))) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char (tptp.the_val (tptp.hAPP_l207779698on_val L_b Va_1)))) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))) _let_1))))))) (forall ((Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_4 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char E_b)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) Eb))) (tptp.hAPP_f1727192346on_val _let_4 Lb))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))) _let_1))))))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted)) (= (tptp.hBOOL (tptp.assigned Va_1 Eb)) (exists ((V_3 $$unsorted) (E_3 $$unsorted)) (= Eb (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char V_3)) E_3))))) (forall ((Ta $$unsorted) (H_0_1 $$unsorted) (L_0_1 $$unsorted) (Va_1 $$unsorted) (E_0 $$unsorted) (S_0 $$unsorted) (E_2 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0_1))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_0) S_0)) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_2))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char E_2)) (=> (= S_0 (tptp.hAPP_f1727192346on_val _let_4 (tptp.fun_up1149430426on_val L_0_1 Va_1 tptp.none_val))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta E_0)) (tptp.hAPP_f1727192346on_val _let_4 L_0_1))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_2 Va_1 (tptp.hAPP_l207779698on_val L_0_1 Va_1))))) _let_1)))))))))) (forall ((X_1 $$unsorted) (Hb $$unsorted) (A_1 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) tptp.none_P179726773on_val) (tptp.hBOOL (tptp.hext Hb (tptp.fun_up2041264236on_val Hb A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_1)))))) (forall ((Lb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted) (Hb $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool (tptp.hconf_97414254t_char Pa) Hb)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.d_list_char Eb (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool (tptp.dom_list_char_val Lb)))) (=> (not (tptp.hBOOL (tptp.final_list_char Eb))) (exists ((E_3 $$unsorted) (S_4 $$unsorted)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_3) S_4)) (tptp.red Pa)))))))))) (forall ((Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl Pa)) (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)))) (forall ((P $$unsorted) (C_3 $$unsorted) (Md $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1384137393r_bool (tptp.hAPP_l2054741776r_bool (tptp.hAPP_l2138409430r_bool tptp.wf_J_mdecl P) C_3) Md)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool (tptp.hAPP_l2054741776r_bool (tptp.hAPP_l2138409430r_bool tptp.wwf_J_mdecl P) C_3) Md)))) (forall ((Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.final_list_char E_b)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) E_b) S)))))) (forall ((Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) E_b) S)) (and (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) (tptp.transi2024712006on_val (tptp.red Pa)))) (tptp.hBOOL (tptp.final_list_char E_b)))))) (forall ((F $$unsorted) (D $$unsorted) (C_1 $$unsorted) (Fs $$unsorted) (E_2 $$unsorted) (Va $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char (tptp.addr A_1))) S_1)) _let_1)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2) L_2))) _let_1)) (=> (= (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_2 Fs)) (tptp.hAPP_n546249108on_val H_2 A_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_1 F D E_2)) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val (tptp.fun_up2041264236on_val H_2 A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_2 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va)))))) L_2))) _let_1)))))))) (forall ((F $$unsorted) (D $$unsorted) (Va $$unsorted) (Lb $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1))) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char (tptp.val_list_char (tptp.addr A_1)) F D (tptp.val_list_char Va))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val (tptp.fun_up2041264236on_val Hb A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va)))))) Lb))) (tptp.red Pa)))))) (forall ((Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) (tptp.transi2024712006on_val (tptp.red Pa))))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char Eb F D E_2) S_2) (tptp.fAss_list_char E_b F D E_2)) S)))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char _let_1 F D Eb) S_2) (tptp.fAss_list_char _let_1 F D E_b)) S))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char Eb F D E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_b F D E_2)) S)) _let_1))))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D E_b)) S)) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char Eb F D E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_b F D E_2)) S)) _let_1))))) (forall ((E_b $$unsorted) (S $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_4 $$unsorted) (S_3 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_4) S_3)) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_4 S_3) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) E_b) S)))))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D E_b)) S)) _let_1)))))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (Lb $$unsorted) (Hb $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1))) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char (tptp.val_list_char (tptp.addr A_1)) F D (tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val (tptp.fun_up2041264236on_val Hb A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va)))))) Lb)))))) (forall ((E_b $$unsorted) (S $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_4 $$unsorted) (S_3 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_4) S_3)) (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_4 S_3) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) E_b) S)))))) (forall ((H_2_1 $$unsorted) (Fs_1 $$unsorted) (F $$unsorted) (D $$unsorted) (C_1 $$unsorted) (Fs $$unsorted) (E_2 $$unsorted) (Va $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) (tptp.val_list_char (tptp.addr A_1))) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) (tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2) L_2))) (=> (= (tptp.hAPP_n546249108on_val H_2 A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (=> (= Fs_1 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va))) (=> (= H_2_1 (tptp.fun_up2041264236on_val H_2 A_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs_1)))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAss_list_char E_1 F D E_2) S_0) (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2_1) L_2)))))))))) (forall ((L_b $$unsorted) (Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val _let_1 Lb))) (=> (= L_b (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.lAss_list_char Va_1 Eb) S_0) (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_1 L_b))))))) (forall ((Ta $$unsorted) (Pa $$unsorted) (E_0 $$unsorted) (H_0_1 $$unsorted) (L_0_1 $$unsorted) (Va_1 $$unsorted) (E_1 $$unsorted) (H_1 $$unsorted) (L_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_0 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_0_1 Va_1 tptp.none_val))) E_1) (tptp.hAPP_f1727192346on_val _let_1 L_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.block_list_char Va_1 Ta E_0) (tptp.hAPP_f1727192346on_val _let_2 L_0_1)) E_1) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_1 Va_1 (tptp.hAPP_l207779698on_val L_0_1 Va_1))))))))) (forall ((F $$unsorted) (D $$unsorted) (Va $$unsorted) (C_1 $$unsorted) (Fs $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char (tptp.addr A_1))) S)) _let_1)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) S)) _let_1))))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((F $$unsorted) (D $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAcc_list_char Eb F D) S_2) (tptp.fAcc_list_char E_b F D)) S)))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char E_b F D)) S)) _let_1))))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char E_b F D)) S)) _let_1))))) (forall ((F $$unsorted) (D $$unsorted) (Va $$unsorted) (C_1 $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.val_list_char (tptp.addr A_1))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAcc_list_char Eb F D) S_0) (tptp.val_list_char Va)) _let_1))))))) (forall ((Pa $$unsorted) (Va $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.val_list_char Va))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_1 S_2) _let_1) S_2)))) (forall ((Pa $$unsorted) (Va $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_1 S_2) E_b) S)) (not (=> (= E_b _let_1) (not (= S S_2))))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.final_list_char E_b)))) (forall ((Pa $$unsorted) (S_2 $$unsorted) (Eb $$unsorted)) (=> (tptp.hBOOL (tptp.final_list_char Eb)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) Eb) S_2)))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAcc_list_char (tptp.val_list_char (tptp.addr A_1)) F D) S_2) (tptp.val_list_char Va)) S_2))))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char (tptp.val_list_char (tptp.addr A_1)) F D)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) S_2)) (tptp.red Pa)))))) (forall ((E_1 $$unsorted) (E_2 $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_0 $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_0 S_0) (tptp.val_list_char Va)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_1) E_2) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.seq_list_char E_0 E_1) S_0) E_2) S_2_1))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (E_1 $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.block_list_char Va_1 Ta E_1) S_2) E_b) S)) (not (forall ((H_0 $$unsorted) (L_0 $$unsorted)) (=> (= S_2 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0) L_0)) (forall ((H_1_1 $$unsorted) (L_1_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1_1))) (=> (= S (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_1_1 Va_1 (tptp.hAPP_l207779698on_val L_0 Va_1)))) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0) (tptp.fun_up1149430426on_val L_0 Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_1_1)))))))))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (A_1 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1))))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) _let_1))) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Nat_1 $$unsorted)) (not (= (tptp.addr Nat_1) tptp.unit))) (forall ((Nat_1 $$unsorted)) (not (= tptp.unit (tptp.addr Nat_1)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (A_1 $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) _let_1)) S_2) _let_1) S_2)))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.throw_list_char Eb) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.throw_list_char Eb) S_2) (tptp.throw_list_char E_b)) S)))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.throw_list_char _let_1) S_2) _let_1) S_2)))) (forall ((Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.lAss_list_char Va_1 Eb) S_0) _let_1) S_1))))) (forall ((E_1 $$unsorted) (Pa $$unsorted) (E_0 $$unsorted) (S_0 $$unsorted) (Eb $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_0 S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.seq_list_char E_0 E_1) S_0) _let_1) S_1))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAss_list_char E_1 F D E_2) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.lAss_list_char Va_1 _let_1) S_2) _let_1) S_2)))) (forall ((Pa $$unsorted) (Eb $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char _let_1 E_2) S_2) _let_1) S_2)))) (forall ((F $$unsorted) (D $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAcc_list_char Eb F D) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char _let_1 F D E_2) S_2) _let_1) S_2)))) (forall ((Pa $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAcc_list_char _let_1 F D) S_2) _let_1) S_2)))) (forall ((Eb $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S)) _let_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.val_list_char (tptp.addr A_1)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.throw_list_char Eb) S_0) (tptp.throw_list_char _let_1)) S_1))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (E_b $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) (tptp.val_list_char Va)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) _let_1) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAss_list_char E_1 F D E_2) S_0) _let_1) S_2_1)))))) (forall ((Pa $$unsorted) (Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char (tptp.val_list_char Va) F D _let_1) S_2) _let_1) S_2)))) (forall ((Nat_2 $$unsorted) (Nat $$unsorted)) (= (= (tptp.addr Nat_2) (tptp.addr Nat)) (= Nat_2 Nat))) (forall ((Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S)) _let_1))))) (forall ((Eb $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A_1)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2)) _let_2) _let_1)))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Eb $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char _let_1 E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Eb $$unsorted) (F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_1 F D E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Eb $$unsorted) (F $$unsorted) (D $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char _let_1 F D)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (A_1 $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta _let_1) S_2) _let_1) S_2)))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char (tptp.val_list_char Va) F D _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A_1)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S_2)) _let_2) _let_1)))))) (forall ((E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char Eb E_2)) S_2)) _let_2) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char Eb F D E_2)) S_2)) _let_2) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A_1)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S_2)) _let_2) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2_1 $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2_1))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) S_1)) _let_1)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_1 F D E_2)) S_0)) _let_2) _let_1))))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (A_1 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1))))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.lAss_list_char Va_1 Eb) S_2) E_b) S)) (=> (=> (= E_b (tptp.val_list_char tptp.unit)) (forall ((V_3 $$unsorted) (H $$unsorted) (L $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H))) (=> (= S (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L Va_1 (tptp.hAPP_val_option_val tptp.some_val V_3)))) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) (tptp.val_list_char V_3)) (tptp.hAPP_f1727192346on_val _let_1 L)))))))) (not (forall ((E_3 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_3))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) _let_1) S)))))))))) (forall ((Pa $$unsorted) (E_1 $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.seq_list_char E_1 E_2) S_2) E_b) S)) (=> (forall ((V_3 $$unsorted) (S_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_2) (tptp.val_list_char V_3)) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1_1) E_b) S))))) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.throw_list_char E))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_2) _let_1) S)))))))))) (forall ((E_2 $$unsorted) (Va_1 $$unsorted) (E_2_1 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (H_1 $$unsorted) (L_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2_1))) (let ((_let_4 (tptp.addr A_1))) (let ((_let_5 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.val_list_char _let_4))) (tptp.hAPP_f1727192346on_val _let_5 L_1))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val H_1 A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) (tptp.hAPP_f1727192346on_val _let_5 (tptp.fun_up1149430426on_val L_1 Va_1 (tptp.hAPP_val_option_val tptp.some_val _let_4))))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_2))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char E_2_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_1 C_1 Va_1 E_2)) S_0)) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_2 Va_1 (tptp.hAPP_l207779698on_val L_1 Va_1))))) _let_1))))))))))))) (forall ((C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char Eb C_1 Va_1 E_2) S_2) (tptp.tryCatch_list_char E_b C_1 Va_1 E_2)) S)))) (forall ((C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (V_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.val_list_char V_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.tryCatch_list_char E_1 C_1 Va_1 E_2) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Va $$unsorted) (C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.val_list_char Va))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char _let_1 C_1 Va_1 E_2) S_2) _let_1) S_2)))) (forall ((C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char Eb C_1 Va_1 E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_b C_1 Va_1 E_2)) S)) _let_1))))) (forall ((Va $$unsorted) (C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.val_list_char Va))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char _let_1 C_1 Va_1 E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char Eb C_1 Va_1 E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_b C_1 Va_1 E_2)) S)) _let_1))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (H_1 $$unsorted) (L_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1) L_1))) (let ((_let_2 (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1))))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) _let_2) _let_1)) (=> (= (tptp.hAPP_n546249108on_val H_1 A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.tryCatch_list_char E_1 C_1 Va_1 E_2) S_0) _let_2) _let_1)))))))) (forall ((C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (Va $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char Eb C_1 Va_1 E_2)) S_2)) _let_2) _let_1)))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (Pa $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1))))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char _let_1 C_1 Va_1 E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))))) (forall ((E_2 $$unsorted) (Va_1 $$unsorted) (E_2_1 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (H_1 $$unsorted) (L_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_2 (tptp.addr A_1))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) (tptp.throw_list_char (tptp.val_list_char _let_2))) (tptp.hAPP_f1727192346on_val _let_3 L_1))) (=> (= (tptp.hAPP_n546249108on_val H_1 A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val L_1 Va_1 (tptp.hAPP_val_option_val tptp.some_val _let_2)))) E_2_1) (tptp.hAPP_f1727192346on_val _let_1 L_2))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.tryCatch_list_char E_1 C_1 Va_1 E_2) S_0) E_2_1) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_2 Va_1 (tptp.hAPP_l207779698on_val L_1 Va_1))))))))))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (E_1 $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1)))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1) S_2)) _let_2) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_1 C_1 Va_1 E_2)) S_2)) _let_2) _let_1)))))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (Pa $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.val_list_char (tptp.addr A_1)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char (tptp.throw_list_char _let_1) C_1 Va_1 E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 (tptp.class C_1) (tptp.seq_list_char (tptp.lAss_list_char Va_1 _let_1) E_2))) S_2)) (tptp.red Pa))))))) (forall ((C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char (tptp.addr A_1))) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 Eb)) S_2)) _let_2) _let_1)))))))) (forall ((C_1 $$unsorted) (Pa $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.val_list_char (tptp.addr A_1)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))))) (forall ((Va_1 $$unsorted) (C_1 $$unsorted) (E_2 $$unsorted) (T_2_1 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1 $$unsorted) (T_1_2 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1 T_1_2)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.class C_1))) E_2 T_2_1)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char Pa T_1_2 T_2_1)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.tryCatch_list_char E_1 C_1 Va_1 E_2) T_2_1)))))) (forall ((C_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S_2) E_b) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C_1 Eb) S_2) (tptp.cast_list_char C_1 E_b)) S)))) (forall ((C_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C_1 Eb) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (C_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C_1 _let_1) S_2) _let_1) S_2)))) (forall ((F $$unsorted) (Ta $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb (tptp.class C_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C_1 F Ta) D)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta))))) (forall ((C_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 E_b)) S)) _let_1))))) (forall ((C_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((C_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 E_b)) S)) _let_1))))) (forall ((E_2 $$unsorted) (T_2_1 $$unsorted) (F $$unsorted) (Ta $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1 (tptp.class C_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C_1 F Ta) D)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_2 T_2_1)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char Pa T_2_1 Ta)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAss_list_char E_1 F D E_2) tptp.void))))))) (forall ((C_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A_1)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 Eb)) S_2)) _let_2) _let_1)))))) (forall ((C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (let ((_let_2 (tptp.val_list_char (tptp.addr A_1)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_2) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C_1 Eb) S_0) _let_2) _let_1)))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1 $$unsorted) (C_1 $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.tryCatch_list_char E_1 C_1 Va_1 E_2) Ta)) (not (forall ((T_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1 T_1_1)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.class C_1))) E_2 Ta)) (not (tptp.hBOOL (tptp.widen_2090681816t_char Pa T_1_1 Ta))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb (tptp.class C_1))) (=> (tptp.hBOOL (tptp.final_list_char Eb)) (=> (forall ((A $$unsorted)) (not (= Eb (tptp.val_list_char (tptp.addr A))))) (not (forall ((A $$unsorted)) (not (= Eb (tptp.throw_list_char (tptp.val_list_char (tptp.addr A))))))))))) (forall ((C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char (tptp.addr A_1))) S)) _let_1)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) S)) _let_1))))))) (forall ((C_1 $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A_1 $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.val_list_char (tptp.addr A_1))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C_1 Eb) S_0) (tptp.throw_list_char (tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) _let_1))))))) (forall ((C_1 $$unsorted) (Pa $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C_1) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 (tptp.val_list_char (tptp.addr A_1)))) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) S_2)) (tptp.red Pa)))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (C_1 $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.val_list_char (tptp.addr A_1)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char (tptp.throw_list_char _let_1) C_1 Va_1 E_2) S_2) (tptp.block_list_char Va_1 (tptp.class C_1) (tptp.seq_list_char (tptp.lAss_list_char Va_1 _let_1) E_2))) S_2)))))) (forall ((Pa $$unsorted) (C_1 $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.val_list_char (tptp.addr A_1)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C_1 _let_1) S_2) _let_1) S_2)))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (C_1 $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.val_list_char (tptp.addr A_1))))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char _let_1 C_1 Va_1 E_2) S_2) _let_1) S_2)))))) (forall ((Pa $$unsorted) (C_1 $$unsorted) (S_2 $$unsorted) (A_1 $$unsorted) (D $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C_1 (tptp.val_list_char (tptp.addr A_1))) S_2) (tptp.throw_list_char (tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) S_2))))) (forall ((List $$unsorted)) (not (= tptp.void (tptp.class List)))) (forall ((List $$unsorted)) (not (= (tptp.class List) tptp.void))) (forall ((List_2 $$unsorted) (List_1 $$unsorted)) (= (= (tptp.class List_2) (tptp.class List_1)) (= List_2 List_1))) (forall ((C_1 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.null)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 Eb)) S_2)) _let_2) _let_1)))))) (forall ((List $$unsorted)) (not (= (tptp.class List) tptp.nt))) (forall ((List $$unsorted)) (not (= tptp.nt (tptp.class List)))) (not (= tptp.void tptp.nt)) (not (= tptp.nt tptp.void)) (not (= tptp.unit tptp.null)) (not (= tptp.null tptp.unit)) (forall ((Nat_1 $$unsorted)) (not (= (tptp.addr Nat_1) tptp.null))) (forall ((Nat_1 $$unsorted)) (not (= tptp.null (tptp.addr Nat_1)))) (forall ((F $$unsorted) (D $$unsorted) (Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb tptp.nt)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta)))) (forall ((C_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.val_list_char tptp.null))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C_1 Eb) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (C_1 $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.val_list_char tptp.null))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C_1 _let_1) S_2) _let_1) S_2)))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (T_2_1 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1 tptp.nt)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_2 T_2_1)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAss_list_char E_1 F D E_2) tptp.void))))) (forall ((C_1 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.val_list_char tptp.null))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C_1 _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta)) (=> (forall ((C_2 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb (tptp.class C_2))) (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C_2 F Ta) D))))) (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb tptp.nt))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (Ta $$unsorted)) (let ((_let_1 (= Ta tptp.void))) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAss_list_char Eb F D Va) Ta)) (=> (=> _let_1 (forall ((C_2 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb (tptp.class C_2))) (forall ((T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C_2 F T) D)) (forall ((T_2 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Va T_2)) (not (tptp.hBOOL (tptp.widen_2090681816t_char Pa T_2 T)))))))))) (not (=> _let_1 (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb tptp.nt)) (forall ((T_2 $$unsorted)) (not (tptp.hBOOL (tptp.wTrt Pa Hb Ea Va T_2))))))))))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.null)) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S)) _let_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.val_list_char tptp.null)) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool 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(not (forall ((E_3 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_3))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_2) _let_1) S))))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.is_refT Ta)) (=> (tptp.hBOOL (tptp.final_list_char Eb)) (=> (not (= Eb (tptp.val_list_char tptp.null))) (=> (=> (exists ((A $$unsorted)) (= Eb (tptp.val_list_char (tptp.addr A)))) (forall ((C_2 $$unsorted)) (not (= Ta (tptp.class C_2))))) (not (forall ((A $$unsorted)) (not (= Eb (tptp.throw_list_char (tptp.val_list_char (tptp.addr A))))))))))))) (forall ((Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (T_r_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb T_r_1)) (=> (tptp.hBOOL (tptp.is_refT T_r_1)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.throw_list_char Eb) Ta))))) (forall ((Ta $$unsorted)) 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(tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char Eb Bop E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char E_b Bop E_2)) S)) _let_1))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (V_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) (tptp.val_list_char V_1)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) _let_1) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.binOp_list_char E_1 Bop E_2) S_0) _let_1) S_2_1)))))) (forall ((Pa $$unsorted) (V_1 $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.binOp_list_char (tptp.val_list_char V_1) Bop _let_1) S_2) _let_1) S_2)))) (forall ((V_1 $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.val_list_char V_1))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop E_b)) S)) _let_1)))))) (forall ((Eb $$unsorted) (Bop $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_1 Bop E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char Eb Bop E_2)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char E_b Bop E_2)) S)) _let_1))))) (forall ((V_1 $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char (tptp.val_list_char V_1) Bop _let_1)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S_2)) (tptp.red Pa))))) (forall ((Va $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop Eb)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop E_b)) S)) _let_1)))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_2)) _let_2) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char Eb Bop E_2)) S_2)) _let_2) _let_1)))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (D $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.cast_list_char D Eb) Ta)) (not (=> (= Ta (tptp.class D)) (forall ((T $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb T)) (=> (tptp.hBOOL (tptp.is_refT T)) (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.is_cla570604648t_char Pa) D)))))))))) (forall ((Bop $$unsorted) (Va $$unsorted) (E_2 $$unsorted) (V_2 $$unsorted) (S_2_1 $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (V_1 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char V_1)) S_1)) _let_1)) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char V_2)) S_2_1)) _let_1)) (=> (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1) V_2))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char E_1 Bop E_2)) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) S_2_1)) _let_1))))))) (forall ((Bop $$unsorted) (Va $$unsorted) (E_2 $$unsorted) (V_2 $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_1 $$unsorted) (S_0 $$unsorted) (V_1 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_0) (tptp.val_list_char V_1)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) (tptp.val_list_char V_2)) S_2_1)) (=> (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1) V_2))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.binOp_list_char E_1 Bop E_2) S_0) (tptp.val_list_char Va)) S_2_1)))))) (forall ((Pa $$unsorted) (S_2 $$unsorted) (Bop $$unsorted) (V_1 $$unsorted) (V_2 $$unsorted) (Va $$unsorted)) (=> (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1) V_2))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.binOp_list_char (tptp.val_list_char V_1) Bop (tptp.val_list_char V_2)) S_2) (tptp.val_list_char Va)) S_2)))) (forall ((S_2 $$unsorted) (Pa $$unsorted) (Bop $$unsorted) (V_1 $$unsorted) (V_2 $$unsorted) (Va $$unsorted)) (=> (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1) V_2))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char (tptp.val_list_char V_1) Bop (tptp.val_list_char V_2))) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char Va)) S_2)) (tptp.red Pa))))) (forall ((Pa $$unsorted) (E_1 $$unsorted) (Bop $$unsorted) (E_2 $$unsorted) (S_2 $$unsorted) (E_b $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.binOp_list_char E_1 Bop E_2) S_2) E_b) S)) (=> (forall ((V_1_2 $$unsorted) (S_1_1 $$unsorted) (V_2_2 $$unsorted) (V_3 $$unsorted)) (=> (= E_b (tptp.val_list_char V_3)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_2) (tptp.val_list_char V_1_2)) S_1_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1_1) (tptp.val_list_char V_2_2)) S)) (not (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_2) V_2_2))) (tptp.hAPP_val_option_val tptp.some_val V_3))))))) (=> (forall ((E $$unsorted)) (let ((_let_1 (tptp.throw_list_char E))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_2) _let_1) S)))))) (not (forall ((V_1_2 $$unsorted) (S_1_1 $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.throw_list_char E))) (=> (= E_b _let_1) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1 S_2) (tptp.val_list_char V_1_2)) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1_1) _let_1) S)))))))))))) (forall ((V_2_1 $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val tptp.unit) V_2_1))) tptp.none_val)) (forall ((V_1_1 $$unsorted) (V $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_1) (tptp.addr V)))) tptp.none_val)) (forall ((V $$unsorted) (V_2_1 $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val (tptp.addr V)) V_2_1))) tptp.none_val)) (forall ((V_2_1 $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val tptp.null) V_2_1))) tptp.none_val)) (forall ((V_1_1 $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_1) tptp.null))) tptp.none_val)) (forall ((V_1_1 $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_1) tptp.unit))) tptp.none_val)) (forall ((Va $$unsorted) (V_2 $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val (tptp.bool Va)) V_2))) tptp.none_val)) (forall ((V_1 $$unsorted) (Va $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1) (tptp.bool Va)))) tptp.none_val)) (forall ((Bool_1 $$unsorted)) (not (= tptp.null (tptp.bool Bool_1)))) (forall ((Bool_1 $$unsorted)) (not (= (tptp.bool Bool_1) tptp.null))) (forall ((Bool $$unsorted) (Bool_1 $$unsorted)) (= (= (tptp.bool Bool) (tptp.bool Bool_1)) (= (tptp.hBOOL Bool) (tptp.hBOOL Bool_1)))) (forall ((Bool_1 $$unsorted)) (not (= tptp.unit (tptp.bool Bool_1)))) (forall ((Bool_1 $$unsorted)) (not (= (tptp.bool Bool_1) tptp.unit))) (forall ((Nat $$unsorted) (Bool $$unsorted)) (not (= (tptp.addr Nat) (tptp.bool Bool)))) (forall ((Bool $$unsorted) (Nat $$unsorted)) (not (= (tptp.bool Bool) (tptp.addr Nat)))) (forall ((V_1 $$unsorted) (V_2 $$unsorted)) (= (tptp.hAPP_P930111162on_val tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.c_Expr_Obop_OEq) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1) V_2))) (tptp.hAPP_val_option_val tptp.some_val (tptp.bool (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool tptp.fequal_val V_1) V_2))))) (forall ((C $$unsorted) (B $$unsorted) (S_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char (tptp.bool tptp.fFalse))) S)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.while_list_char B C)) S_2)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.unit)) S)) _let_1))))) (forall ((C $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.while_list_char Eb C) S_0) _let_1) S_1))))) (forall ((Y $$unsorted)) (=> (tptp.is_bop Y) (=> (not (= Y tptp.c_Expr_Obop_OEq)) (= Y tptp.add)))) (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))) (not (tptp.hBOOL tptp.fFalse)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool tptp.fequal_val X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool tptp.fequal_val X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_val_bool (tptp.hAPP_f176769507l_bool (tptp.hAPP_f2051274555l_bool tptp.cOMBB_bool_bool_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_val_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.hAPP_f1371002581r_bool (tptp.hAPP_f1861125939r_bool tptp.cOMBB_1091123364t_char P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_list_char_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1859015701l_bool (tptp.hAPP_f653851379l_bool tptp.cOMBB_2121771659al_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P929938951l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_val_bool (tptp.hAPP_f414190381l_bool (tptp.hAPP_f664873147l_bool tptp.cOMBB_1583755916ol_val P) Q) R) (tptp.hAPP_P929938951l_bool P (tptp.hAPP_v852496844al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_v1392248405l_bool (tptp.hAPP_f902521097l_bool (tptp.hAPP_f1432609211l_bool tptp.cOMBB_1056322480ol_val P) Q) R) (tptp.hAPP_f176769507l_bool P (tptp.hAPP_v1392248405l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1074020887l_bool (tptp.hAPP_f1863694447l_bool tptp.cOMBB_383678192on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1033709212l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_v1392248405l_bool (tptp.hAPP_f2044570451l_bool (tptp.hAPP_f1631509563l_bool tptp.cOMBB_1730140646ol_val P) Q) R) (tptp.hAPP_f414190381l_bool P (tptp.hAPP_v1519391al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P929938951l_bool (tptp.hAPP_f451093418l_bool (tptp.hAPP_f967695645l_bool tptp.cOMBB_1353907126al_val P) Q) R) (tptp.hAPP_P943837928l_bool P (tptp.hAPP_P929466802al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.hAPP_f332734435r_bool (tptp.hAPP_f775361359r_bool tptp.cOMBB_1749175574t_char P) Q) R) (tptp.hAPP_P449474095r_bool P (tptp.hAPP_l2100324114t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1935223905l_bool (tptp.hAPP_f1589017327l_bool tptp.cOMBB_558176806on_val P) Q) R) (tptp.hAPP_P929938951l_bool P (tptp.hAPP_f1181212006al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_b97269396l_bool (tptp.hAPP_f2092385043l_bool (tptp.hAPP_f1830813581l_bool tptp.cOMBB_292554190ol_bop P) Q) R) (tptp.hAPP_f1859015701l_bool P (tptp.hAPP_b97269396l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1361600383r_bool (tptp.hAPP_f1818217r_bool (tptp.hAPP_f336522659r_bool tptp.cOMBB_1033454012t_char P) Q) R) (tptp.hAPP_f1371002581r_bool P (tptp.hAPP_l1361600383r_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1715346603l_bool (tptp.hAPP_f1803975093l_bool (tptp.hAPP_f10956301l_bool tptp.cOMBB_1572981887on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1715346603l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f2061154754l_bool (tptp.hAPP_f1777594159l_bool tptp.cOMBB_448128005on_val P) Q) R) (tptp.hAPP_P943837928l_bool P (tptp.hAPP_f384373191al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f603925568l_bool (tptp.hAPP_f181262431l_bool tptp.cOMBC_832625297y_bool P) Q) R) (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1326058377l_bool (tptp.hAPP_f1804599279l_bool tptp.cOMBB_678146046on_val P) Q) R) (tptp.hAPP_P449474095r_bool P (tptp.hAPP_f338074126t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_b97269396l_bool (tptp.hAPP_f42352062l_bool (tptp.hAPP_f1561329507l_bool tptp.cOMBB_1718324963ol_bop P) Q) R) (tptp.hAPP_f451093418l_bool P (tptp.hAPP_b1229254591al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1361600383r_bool (tptp.hAPP_f1633332187r_bool (tptp.hAPP_f737710471r_bool tptp.cOMBB_507649738t_char P) Q) R) (tptp.hAPP_f332734435r_bool P (tptp.hAPP_l208357873t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1937467848l_bool (tptp.hAPP_f2020099865l_bool tptp.cOMBB_1543649755on_val P) Q) R) (tptp.hAPP_P1235399154l_bool P (tptp.hAPP_f2106552235on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1145256474l_bool (tptp.hAPP_f1452292669l_bool (tptp.hAPP_f1977633121l_bool tptp.cOMBB_1303934920on_val P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f61040418l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1715346603l_bool (tptp.hAPP_f781588360l_bool (tptp.hAPP_f1046102489l_bool tptp.cOMBB_572737002on_val P) Q) R) (tptp.hAPP_P1235399154l_bool P (tptp.hAPP_f900686428on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l465799708l_bool (tptp.hAPP_f624730965l_bool (tptp.hAPP_f1399435963l_bool tptp.cOMBB_73690268t_char P) Q) R) (tptp.hAPP_f1803975093l_bool P (tptp.hAPP_l465799708l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2134824737l_bool (tptp.hAPP_f1308714617l_bool tptp.cOMBB_338347573on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P159683425l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_val_bool (tptp.hAPP_f496905015l_bool (tptp.hAPP_f40221303l_bool tptp.cOMBB_660939282ol_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_v1173428276on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.hAPP_f1742268533r_bool (tptp.hAPP_f1683814075r_bool tptp.cOMBB_315503848t_char P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_l80874262on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P929938951l_bool (tptp.hAPP_f497008323l_bool (tptp.hAPP_f1936466825l_bool tptp.cOMBB_840638159al_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_P147338735on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_v1392248405l_bool (tptp.hAPP_f1024478733l_bool (tptp.hAPP_f1000689699l_bool tptp.cOMBB_263586492ol_val P) Q) R) (tptp.hAPP_f496905015l_bool P (tptp.hAPP_v906492983on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f926562337l_bool (tptp.hAPP_f1560238713l_bool tptp.cOMBB_672625589on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P1708370145l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f550652027l_bool (tptp.hAPP_f838396643l_bool tptp.cOMBC_2027949654l_bool P) Q) R) (tptp.hAPP_f603925568l_bool (tptp.hAPP_f1617787571l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1008932791l_bool (tptp.hAPP_f2057883639l_bool tptp.cOMBB_1750801836on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_f1727192346on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f555424277l_bool (tptp.hAPP_f1734879897l_bool tptp.cOMBB_1522540928on_val P) Q) R) (tptp.hAPP_f1074020887l_bool P (tptp.hAPP_f1175813647l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.cOMBS_570216337l_bool P Q) R) (tptp.hAPP_f1074020887l_bool (tptp.hAPP_f1492320500l_bool P R) (tptp.hAPP_f1175813647l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_b97269396l_bool (tptp.hAPP_f1150574413l_bool (tptp.hAPP_f295212021l_bool tptp.cOMBB_1150072860ol_bop P) Q) R) (tptp.hAPP_f497008323l_bool P (tptp.hAPP_b420404024on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1361600383r_bool (tptp.hAPP_f1056413453r_bool (tptp.hAPP_f26812903r_bool tptp.cOMBB_1271765500t_char P) Q) R) (tptp.hAPP_f1742268533r_bool P (tptp.hAPP_l867549837on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1715346603l_bool (tptp.hAPP_f1261046903l_bool (tptp.hAPP_f1508793015l_bool tptp.cOMBB_486278459on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_f998724171on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f1153851723l_bool (tptp.hAPP_f151189509l_bool tptp.cOMBB_223841226on_val P) Q) R) (tptp.hAPP_f1935223905l_bool P (tptp.hAPP_f1695781849al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f318082871l_bool (tptp.hAPP_f1233687287l_bool tptp.cOMBB_171276332on_val P) Q) R) (tptp.hAPP_P1708370145l_bool P (tptp.hAPP_f1926378906on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1492320500l_bool (tptp.hAPP_f1523875321l_bool (tptp.hAPP_f592397849l_bool tptp.cOMBB_1718333400on_val P) Q) R) (tptp.hAPP_f1863694447l_bool P (tptp.hAPP_f1145256474l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f828778154l_bool (tptp.hAPP_f1572306499l_bool tptp.cOMBB_1210977579on_val P) Q) R) (tptp.hAPP_f2061154754l_bool P (tptp.hAPP_f1779904442al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f1996106275l_bool (tptp.hAPP_f1550515381l_bool tptp.cOMBB_2040779506on_val P) Q) R) (tptp.hAPP_f1326058377l_bool P (tptp.hAPP_f1628326017t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l465799708l_bool (tptp.hAPP_f21084934l_bool (tptp.hAPP_f1136596083l_bool tptp.cOMBB_1895512847t_char P) Q) R) (tptp.hAPP_f781588360l_bool P (tptp.hAPP_l1786340417on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f1145600492l_bool (tptp.hAPP_f630712985l_bool tptp.cOMBB_1962662865on_val P) Q) R) (tptp.hAPP_f1937467848l_bool P (tptp.hAPP_f1614126606on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1617787571l_bool (tptp.hAPP_f857351829l_bool (tptp.hAPP_f348318673l_bool tptp.cOMBB_1518282696on_val P) Q) R) (tptp.hAPP_f181262431l_bool P (tptp.hAPP_f1213370163y_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l465799708l_bool (tptp.hAPP_f1440866903l_bool (tptp.hAPP_f1138830003l_bool tptp.cOMBB_97313278t_char P) Q) R) (tptp.hAPP_f1261046903l_bool P (tptp.hAPP_l221195696on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f1301559543l_bool (tptp.hAPP_f1825030711l_bool tptp.cOMBB_877741809on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_P1776198677on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f489055607l_bool (tptp.hAPP_f10074679l_bool tptp.cOMBB_1759207793on_val P) Q) R) (tptp.hAPP_P1708370145l_bool P (tptp.hAPP_P604205461on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1712766199l_bool (tptp.hAPP_f881985847l_bool tptp.cOMBB_1083177073on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_P789556885on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1833980889l_bool (tptp.hAPP_f546724245l_bool (tptp.hAPP_f917296015l_bool tptp.cOMBB_740252943t_char P) Q) R) (tptp.hAPP_f2134824737l_bool P (tptp.hAPP_e1833980889l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f1363667773l_bool (tptp.hAPP_f1050935001l_bool tptp.cOMBB_1153617344on_val P) Q) R) (tptp.hAPP_f1008932791l_bool P (tptp.hAPP_f1849790461on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f850751421l_bool (tptp.hAPP_f399538905l_bool tptp.cOMBB_1466889536on_val P) Q) R) (tptp.hAPP_f318082871l_bool P (tptp.hAPP_f1840640125on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f524589473l_bool (tptp.hAPP_f2052660463l_bool tptp.cOMBB_1292453606on_val P) Q) R) (tptp.hAPP_P282169671l_bool P (tptp.hAPP_f602593190on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1833980889l_bool (tptp.hAPP_f653692369l_bool (tptp.hAPP_f516738477l_bool tptp.cOMBB_819439237t_char P) Q) R) (tptp.hAPP_f1301559543l_bool P (tptp.hAPP_e108155315on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1833980889l_bool (tptp.hAPP_f439412817l_bool (tptp.hAPP_f1725502637l_bool tptp.cOMBB_1027621637t_char P) Q) R) (tptp.hAPP_f489055607l_bool P (tptp.hAPP_e1659493427on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f204771371l_bool (tptp.hAPP_f365540729l_bool tptp.cOMBB_1466662571on_val P) Q) R) (tptp.hAPP_P282169671l_bool P (tptp.hAPP_P1886180715on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f641257349l_bool (tptp.hAPP_f2032347769l_bool tptp.cOMBB_466903633on_val P) Q) R) (tptp.hAPP_f926562337l_bool P (tptp.hAPP_P1116729363l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f927043595l_bool (tptp.hAPP_f1043869573l_bool tptp.cOMBB_1259202826on_val P) Q) R) (tptp.hAPP_f524589473l_bool P (tptp.hAPP_f600512025on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1241216909l_bool (tptp.hAPP_f1438732387l_bool tptp.cOMBB_635947099on_val P) Q) R) (tptp.hAPP_f1712766199l_bool P (tptp.hAPP_P2083594489on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1342895119l_bool (tptp.hAPP_f639265145l_bool tptp.cOMBB_364363975on_val P) Q) R) (tptp.hAPP_f204771371l_bool P (tptp.hAPP_P1870962205on_val Q R)))) _let_3 true))))))
% 0.53/1.14  )
% 0.53/1.14  % SZS output end Proof for SWW478+2
% 0.53/1.14  % cvc5---1.0.5 exiting
% 0.53/1.14  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------