TSTP Solution File: SWW475+2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW475+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% 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 : 600s
% DateTime : Thu Jul 21 01:17:12 EDT 2022
% Result : Timeout 300.04s 300.37s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SWW475+2 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.16 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.37 % Computer : n023.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sat Jun 4 11:26:55 EDT 2022
% 0.14/0.37 % CPUTime :
% 1.59/1.94 ============================== Prover9 ===============================
% 1.59/1.94 Prover9 (32) version 2009-11A, November 2009.
% 1.59/1.94 Process 11382 was started by sandbox on n023.cluster.edu,
% 1.59/1.94 Sat Jun 4 11:26:56 2022
% 1.59/1.94 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11228_n023.cluster.edu".
% 1.59/1.94 ============================== end of head ===========================
% 1.59/1.94
% 1.59/1.94 ============================== INPUT =================================
% 1.59/1.94
% 1.59/1.94 % Reading from file /tmp/Prover9_11228_n023.cluster.edu
% 1.59/1.94
% 1.59/1.94 set(prolog_style_variables).
% 1.59/1.94 set(auto2).
% 1.59/1.94 % set(auto2) -> set(auto).
% 1.59/1.94 % set(auto) -> set(auto_inference).
% 1.59/1.94 % set(auto) -> set(auto_setup).
% 1.59/1.94 % set(auto_setup) -> set(predicate_elim).
% 1.59/1.94 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.59/1.94 % set(auto) -> set(auto_limits).
% 1.59/1.94 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.59/1.94 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.59/1.94 % set(auto) -> set(auto_denials).
% 1.59/1.94 % set(auto) -> set(auto_process).
% 1.59/1.94 % set(auto2) -> assign(new_constants, 1).
% 1.59/1.94 % set(auto2) -> assign(fold_denial_max, 3).
% 1.59/1.94 % set(auto2) -> assign(max_weight, "200.000").
% 1.59/1.94 % set(auto2) -> assign(max_hours, 1).
% 1.59/1.94 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.59/1.94 % set(auto2) -> assign(max_seconds, 0).
% 1.59/1.94 % set(auto2) -> assign(max_minutes, 5).
% 1.59/1.94 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.59/1.94 % set(auto2) -> set(sort_initial_sos).
% 1.59/1.94 % set(auto2) -> assign(sos_limit, -1).
% 1.59/1.94 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.59/1.94 % set(auto2) -> assign(max_megs, 400).
% 1.59/1.94 % set(auto2) -> assign(stats, some).
% 1.59/1.94 % set(auto2) -> clear(echo_input).
% 1.59/1.94 % set(auto2) -> set(quiet).
% 1.59/1.94 % set(auto2) -> clear(print_initial_clauses).
% 1.59/1.94 % set(auto2) -> clear(print_given).
% 1.59/1.94 assign(lrs_ticks,-1).
% 1.59/1.94 assign(sos_limit,10000).
% 1.59/1.94 assign(order,kbo).
% 1.59/1.94 set(lex_order_vars).
% 1.59/1.94 clear(print_given).
% 1.59/1.94
% 1.59/1.94 % formulas(sos). % not echoed (754 formulas)
% 1.59/1.94
% 1.59/1.94 ============================== end of input ==========================
% 1.59/1.94
% 1.59/1.94 % From the command line: assign(max_seconds, 300).
% 1.59/1.94
% 1.59/1.94 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.59/1.94
% 1.59/1.94 % Formulas that are not ordinary clauses:
% 1.59/1.94 1 (all B_1_1 is_bool(final_list_char(B_1_1))) # label(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 2 (all B_1_1 is_bool(finals_list_char(B_1_1))) # label(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 3 (all B_1_1 all B_2_1 is_bool(hconf_97414254t_char(B_1_1,B_2_1))) # label(gsy_c_Conform_Ohconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(hypothesis) # label(non_clause). [assumption].
% 1.59/1.94 4 (all B_1_1 all B_2_1 is_bool(hext(B_1_1,B_2_1))) # label(gsy_c_Objects_Ohext) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 5 (all B_1_1 all B_2_1 is_bool(assigned(B_1_1,B_2_1))) # label(gsy_c_SmallStep_Oassigned) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 6 (all B_1_1 is_bool(is_refT(B_1_1))) # label(gsy_c_Type_Ois__refT) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 7 (all B_1_1 all B_2_1 all B_3_1 all B_4_1 all B_5 is_bool(wTrt(B_1_1,B_2_1,B_3_1,B_4_1,B_5))) # label(gsy_c_WellTypeRT_OWTrt) # label(hypothesis) # label(non_clause). [assumption].
% 1.59/1.94 8 (all B_1_1 all B_2_1 all B_3_1 all B_4_1 all B_5 is_bool(wTrts(B_1_1,B_2_1,B_3_1,B_4_1,B_5))) # label(gsy_c_WellTypeRT_OWTrts) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 9 (all B_1_1 all B_2_1 is_bool(hAPP_e544220455r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 10 (all B_1_1 all B_2_1 is_bool(hAPP_list_char_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 11 (all B_1_1 all B_2_1 is_bool(hAPP_val_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 12 (all B_1_1 all B_2_1 is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 13 (all B_1_1 all B_2_1 is_bool(hAPP_f1715346603l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 14 (all B_1_1 all B_2_1 is_bool(hAPP_P943837928l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 15 (all B_1_1 all B_2_1 is_bool(hAPP_P1708370145l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 16 (all B_1_1 all B_2_1 is_bool(hAPP_P71593144l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 17 (all B_1_1 all B_2_1 is_bool(hAPP_P92196306r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 18 (all B_1_1 all B_2_1 is_bool(hAPP_P449474095r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 19 (all B_1_1 all B_2_1 is_bool(hAPP_P1235399154l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 20 (all B_1_1 all B_2_1 is_bool(hAPP_P1907982426r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 21 (all B_1_1 all B_2_1 is_bool(hAPP_P2118621157r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 22 (all B_1_1 all B_2_1 is_bool(hAPP_P929938951l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 23 (all B_1_1 all B_2_1 is_bool(hAPP_P159683425l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 24 (all B_1_1 all B_2_1 is_bool(hAPP_P282169671l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 25 (all B_1_1 all B_2_1 is_bool(hAPP_P1333315679l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 26 (all B_1_1 all B_2_1 is_bool(member1251428284t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 27 (all B_1_1 all B_2_1 is_bool(member649088532al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 28 (all B_1_1 all B_2_1 is_bool(member1732271180al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 29 (all B_1_1 all B_2_1 is_bool(member773094996on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) # label(hypothesis) # label(non_clause). [assumption].
% 1.59/1.94 30 (all B_1_1 all B_2_1 is_bool(member875476972on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 31 (all B_1_1 all B_2_1 is_bool(member1420286996t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 32 (all B_1_1 all B_2_1 is_bool(member794220506t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 33 (all B_1_1 all B_2_1 is_bool(member1322055188on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fu) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 34 (all B_1_1 all B_2_1 is_bool(member125098544t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 35 (all B_1_1 all B_2_1 is_bool(member1161907014t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 36 (all B_1_1 all B_2_1 is_bool(member837208074al_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 37 (all B_1_1 all B_2_1 is_bool(member563141460on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 38 (all B_1_1 all B_2_1 is_bool(member808015754on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 39 (all B_1_1 all B_2_1 is_bool(member88670778on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 40 (all X_1 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,produc1259058957on_val(B_1,produc899768717on_val(C_3,D_1)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_1)))) # label(fact_0_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 41 (all X_1 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,produc379668296on_val(B_1,produc899768717on_val(C_3,D_1)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_1)))) # label(fact_1_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 42 (all X_1 all Pa ((all A_1 all B_1 all C_3 all D_1 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1)))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_1)))) # label(fact_2_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 43 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 Y_1 != produc1441475159on_val(A_1,produc1259058957on_val(B_1,produc899768717on_val(C_3,D_1))))) # label(fact_3_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 44 (all Y_1 -(all A_1 all B_1 all C_3 all D_1 Y_1 != produc1611380469on_val(A_1,produc379668296on_val(B_1,produc899768717on_val(C_3,D_1))))) # label(fact_4_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 45 (all Y_5 -(all A_1 all B_1 all C_3 all D_1 Y_5 != produc921874948t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1))))) # label(fact_5_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 46 (all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> hBOOL(hext(Ha,H_a)))) # label(fact_6_red__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 47 (all X_1 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,produc1259058957on_val(B_1,C_3))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X_1)))) # label(fact_7_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 48 (all X_1 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,produc899768717on_val(B_1,C_3))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,X_1)))) # label(fact_8_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 49 (all X_1 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,produc379668296on_val(B_1,C_3))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X_1)))) # label(fact_9_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 50 (all X_1 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,produc899768717on_val(B_1,C_3))))) -> hBOOL(hAPP_P71593144l_bool(Pa,X_1)))) # label(fact_10_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 51 (all X_1 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,produc1909267824t_char(B_1,C_3))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X_1)))) # label(fact_11_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 52 (all X_1 all Pa ((all A_1 all B_1 all C_3 hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,produc1916172923t_char(B_1,C_3))))) -> hBOOL(hAPP_P1907982426r_bool(Pa,X_1)))) # label(fact_12_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 53 (all X_1 all Pa ((all A_1 all B_1 all C_3 (is_bop(A_1) -> hBOOL(hAPP_P943837928l_bool(Pa,produc621191550al_val(A_1,product_Pair_val_val(B_1,C_3)))))) -> hBOOL(hAPP_P943837928l_bool(Pa,X_1)))) # label(fact_13_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 54 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1441475159on_val(A_1,produc1259058957on_val(B_1,C_3)))) # label(fact_14_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 55 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1259058957on_val(A_1,produc899768717on_val(B_1,C_3)))) # label(fact_15_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 56 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc1611380469on_val(A_1,produc379668296on_val(B_1,C_3)))) # label(fact_16_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 57 (all Y_1 -(all A_1 all B_1 all C_3 Y_1 != produc379668296on_val(A_1,produc899768717on_val(B_1,C_3)))) # label(fact_17_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 58 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc921874948t_char(A_1,produc1909267824t_char(B_1,C_3)))) # label(fact_18_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 59 (all Y_4 -(all A_1 all B_1 all C_3 Y_4 != produc1909267824t_char(A_1,produc1916172923t_char(B_1,C_3)))) # label(fact_19_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 60 (all Y_4 -(all A_1 all B_1 all C_3 (is_bop(A_1) -> Y_4 != produc621191550al_val(A_1,product_Pair_val_val(B_1,C_3))))) # label(fact_20_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 61 (all Pa ((all X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,B_1)))))) # label(fact_21_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 62 (all Pa ((all X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,B_1)))))) # label(fact_22_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 63 (all Pa ((all X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_1,B_1)))))) # label(fact_23_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 64 (all Pa ((all X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,B_1)))))) # label(fact_24_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 65 (all Pa ((all X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,B_1)))))) # label(fact_25_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 66 (all Pa ((all X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,B_1)))))) # label(fact_26_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 67 (all Pa ((all X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,B_1)))))) # label(fact_27_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 68 (all Pa ((all X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P2118621157r_bool(Pa,produc1916172923t_char(A_1,B_1)))))) # label(fact_28_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 69 (all Pa ((all X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P1235399154l_bool(Pa,produc823076510on_val(A_1,B_1)))))) # label(fact_29_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 70 (all Pa ((all X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P449474095r_bool(Pa,produc5062597t_char(A_1,B_1)))))) # label(fact_30_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 71 (all Pa ((all X1 hBOOL(hAPP_P943837928l_bool(Pa,X1))) <-> (all A_1 all B_1 (is_bop(A_1) -> hBOOL(hAPP_P943837928l_bool(Pa,produc621191550al_val(A_1,B_1))))))) # label(fact_31_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 72 (all Pa ((all X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (all A_1 all B_1 hBOOL(hAPP_P929938951l_bool(Pa,product_Pair_val_val(A_1,B_1)))))) # label(fact_32_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 73 (all A all B all A_19 all B_4 (produc1441475159on_val(A,B) = produc1441475159on_val(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_33_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 74 (all A all B all A_19 all B_4 (produc1259058957on_val(A,B) = produc1259058957on_val(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_34_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 75 (all A all B all A_19 all B_4 (produc899768717on_val(A,B) = produc899768717on_val(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_35_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 76 (all A all B all A_19 all B_4 (produc1611380469on_val(A,B) = produc1611380469on_val(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_36_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 77 (all A all B all A_19 all B_4 (produc379668296on_val(A,B) = produc379668296on_val(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_37_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 78 (all A all B all A_19 all B_4 (produc921874948t_char(A,B) = produc921874948t_char(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_38_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 79 (all A all B all A_19 all B_4 (produc1909267824t_char(A,B) = produc1909267824t_char(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_39_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 80 (all A all B all A_19 all B_4 (produc1916172923t_char(A,B) = produc1916172923t_char(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_40_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 81 (all A all B all A_19 all B_4 (produc823076510on_val(A,B) = produc823076510on_val(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_41_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 82 (all A all B all A_19 all B_4 (produc5062597t_char(A,B) = produc5062597t_char(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_42_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 83 (all A all B all A_19 all B_4 (is_bop(A) & is_bop(A_19) -> (produc621191550al_val(A,B) = produc621191550al_val(A_19,B_4) <-> A = A_19 & B = B_4))) # label(fact_43_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 84 (all A all B all A_19 all B_4 (product_Pair_val_val(A,B) = product_Pair_val_val(A_19,B_4) <-> A = A_19 & B = B_4)) # label(fact_44_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 85 (all A all B all A_19 all B_4 (produc1441475159on_val(A,B) = produc1441475159on_val(A_19,B_4) -> -(A = A_19 -> B != B_4))) # label(fact_45_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 86 (all A all B all A_19 all B_4 (produc1259058957on_val(A,B) = produc1259058957on_val(A_19,B_4) -> -(A = A_19 -> B != B_4))) # label(fact_46_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 87 (all A all B all A_19 all B_4 (produc899768717on_val(A,B) = produc899768717on_val(A_19,B_4) -> -(A = A_19 -> B != B_4))) # label(fact_47_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 88 (all A all B all A_19 all B_4 (produc1611380469on_val(A,B) = produc1611380469on_val(A_19,B_4) -> -(A = A_19 -> B != B_4))) # label(fact_48_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 89 (all A all B all A_19 all B_4 (produc379668296on_val(A,B) = produc379668296on_val(A_19,B_4) -> -(A = A_19 -> B != B_4))) # label(fact_49_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 90 (all A_78 all B_3 all A_77 all B_2 (produc921874948t_char(A_78,B_3) = produc921874948t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_50_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 91 (all A_78 all B_3 all A_77 all B_2 (produc1909267824t_char(A_78,B_3) = produc1909267824t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_51_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 92 (all A_78 all B_3 all A_77 all B_2 (produc1916172923t_char(A_78,B_3) = produc1916172923t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_52_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 93 (all A all B all A_19 all B_4 (produc823076510on_val(A,B) = produc823076510on_val(A_19,B_4) -> -(A = A_19 -> B != B_4))) # label(fact_53_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 94 (all A_78 all B_3 all A_77 all B_2 (produc5062597t_char(A_78,B_3) = produc5062597t_char(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_54_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 95 (all A_78 all B_3 all A_77 all B_2 (is_bop(A_78) & is_bop(A_77) -> (produc621191550al_val(A_78,B_3) = produc621191550al_val(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2)))) # label(fact_55_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 96 (all A_78 all B_3 all A_77 all B_2 (product_Pair_val_val(A_78,B_3) = product_Pair_val_val(A_77,B_2) -> -(A_78 = A_77 -> B_3 != B_2))) # label(fact_56_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 97 (all Ha hBOOL(hext(Ha,Ha))) # label(fact_57_hext__refl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 98 (all H_a all Pa all Ha all E all Ea all T (hBOOL(wTrt(Pa,Ha,E,Ea,T)) -> (hBOOL(hext(Ha,H_a)) -> hBOOL(wTrt(Pa,H_a,E,Ea,T))))) # label(fact_58_WTrt__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 99 (all L_0_1 all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0_1,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0_1,L_a)))),red(Pa))))) # label(fact_59_red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 100 (all Y_1 -(all A_1 all B_1 Y_1 != produc1441475159on_val(A_1,B_1))) # label(fact_60_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 101 (all Y_1 -(all A_1 all B_1 Y_1 != produc1259058957on_val(A_1,B_1))) # label(fact_61_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 102 (all Y_1 -(all A_1 all B_1 Y_1 != produc899768717on_val(A_1,B_1))) # label(fact_62_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 103 (all Y_1 -(all A_1 all B_1 Y_1 != produc1611380469on_val(A_1,B_1))) # label(fact_63_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 104 (all Y_1 -(all A_1 all B_1 Y_1 != produc379668296on_val(A_1,B_1))) # label(fact_64_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 105 (all Y_3 -(all A_1 all B_1 Y_3 != produc921874948t_char(A_1,B_1))) # label(fact_65_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 106 (all Y_3 -(all A_1 all B_1 Y_3 != produc1909267824t_char(A_1,B_1))) # label(fact_66_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 107 (all Y_3 -(all A_1 all B_1 Y_3 != produc1916172923t_char(A_1,B_1))) # label(fact_67_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 108 (all Y_1 -(all A_1 all B_1 Y_1 != produc823076510on_val(A_1,B_1))) # label(fact_68_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 109 (all Y_3 -(all A_1 all B_1 Y_3 != produc5062597t_char(A_1,B_1))) # label(fact_69_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 110 (all Y_3 -(all A_1 all B_1 (is_bop(A_1) -> Y_3 != produc621191550al_val(A_1,B_1)))) # label(fact_70_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 111 (all Y_3 -(all A_1 all B_1 Y_3 != product_Pair_val_val(A_1,B_1))) # label(fact_71_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 112 (all P_1 -(all X_2 all Y_2 P_1 != produc1441475159on_val(X_2,Y_2))) # label(fact_72_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 113 (all P_1 -(all X_2 all Y_2 P_1 != produc1259058957on_val(X_2,Y_2))) # label(fact_73_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 114 (all P_1 -(all X_2 all Y_2 P_1 != produc899768717on_val(X_2,Y_2))) # label(fact_74_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 115 (all P_1 -(all X_2 all Y_2 P_1 != produc1611380469on_val(X_2,Y_2))) # label(fact_75_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 116 (all P_1 -(all X_2 all Y_2 P_1 != produc379668296on_val(X_2,Y_2))) # label(fact_76_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 117 (all P_2 -(all X_2 all Y_2 P_2 != produc921874948t_char(X_2,Y_2))) # label(fact_77_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 118 (all P_2 -(all X_2 all Y_2 P_2 != produc1909267824t_char(X_2,Y_2))) # label(fact_78_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 119 (all P_2 -(all X_2 all Y_2 P_2 != produc1916172923t_char(X_2,Y_2))) # label(fact_79_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 120 (all P_1 -(all X_2 all Y_2 P_1 != produc823076510on_val(X_2,Y_2))) # label(fact_80_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 121 (all P_2 -(all X_2 all Y_2 P_2 != produc5062597t_char(X_2,Y_2))) # label(fact_81_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 122 (all P_2 -(all X_2 all Y_2 (is_bop(X_2) -> P_2 != produc621191550al_val(X_2,Y_2)))) # label(fact_82_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 123 (all P_2 -(all X_2 all Y_2 P_2 != product_Pair_val_val(X_2,Y_2))) # label(fact_83_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 124 (all Pa ((exists X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,B_1)))))) # label(fact_84_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 125 (all Pa ((exists X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,B_1)))))) # label(fact_85_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 126 (all Pa ((exists X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_1,B_1)))))) # label(fact_86_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 127 (all Pa ((exists X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,B_1)))))) # label(fact_87_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 128 (all Pa ((exists X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,B_1)))))) # label(fact_88_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 129 (all Pa ((exists X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,B_1)))))) # label(fact_89_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 130 (all Pa ((exists X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,B_1)))))) # label(fact_90_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 131 (all Pa ((exists X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P2118621157r_bool(Pa,produc1916172923t_char(A_1,B_1)))))) # label(fact_91_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 132 (all Pa ((exists X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P1235399154l_bool(Pa,produc823076510on_val(A_1,B_1)))))) # label(fact_92_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 133 (all Pa ((exists X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P449474095r_bool(Pa,produc5062597t_char(A_1,B_1)))))) # label(fact_93_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 134 (all Pa ((exists X1 hBOOL(hAPP_P943837928l_bool(Pa,X1))) <-> (exists A_1 exists B_1 (is_bop(A_1) & hBOOL(hAPP_P943837928l_bool(Pa,produc621191550al_val(A_1,B_1))))))) # label(fact_94_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 135 (all Pa ((exists X1 hBOOL(hAPP_P929938951l_bool(Pa,X1))) <-> (exists A_1 exists B_1 hBOOL(hAPP_P929938951l_bool(Pa,product_Pair_val_val(A_1,B_1)))))) # label(fact_95_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 136 (all H_3 all Ha all H_a (hBOOL(hext(Ha,H_a)) -> (hBOOL(hext(H_a,H_3)) -> hBOOL(hext(Ha,H_3))))) # label(fact_96_hext__trans) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 137 (all F_1 all A all B (hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)))) # label(fact_97_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 138 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)))) # label(fact_98_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 139 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)))) # label(fact_99_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 140 (all F_1 all A all B (hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)))) # label(fact_100_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 141 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)))) # label(fact_101_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 142 (all F_1 all A all B (hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)))) # label(fact_102_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 143 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)))) # label(fact_103_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 144 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)))) # label(fact_104_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 145 (all F_1 all A all B (hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)))) # label(fact_105_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 146 (all F_1 all A all B (hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)))) # label(fact_106_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 147 (all F_1 all A all B (hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)))) # label(fact_107_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 148 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)))) # label(fact_108_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 149 (all Esa all Ha all La all Es_a all H_a all L_a all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,produc899768717on_val(Ha,La)),produc379668296on_val(Es_a,produc899768717on_val(H_a,L_a))),reds(Pa))) -> hBOOL(hext(Ha,H_a)))) # label(fact_109_reds__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 150 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))))) # label(fact_110_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 151 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))))) # label(fact_111_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 152 (all F_1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))))) # label(fact_112_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 153 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))))) # label(fact_113_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 154 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))))) # label(fact_114_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 155 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) -> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))))) # label(fact_115_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 156 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) -> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))))) # label(fact_116_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 157 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) -> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))))) # label(fact_117_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 158 (all F_1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) -> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))))) # label(fact_118_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 159 (all F_1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) -> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))))) # label(fact_119_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 160 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) -> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))))) # label(fact_120_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 161 (all F_1 all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) -> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))))) # label(fact_121_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 162 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))))) # label(fact_122_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 163 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))))) # label(fact_123_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 164 (all F_1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))))) # label(fact_124_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 165 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))))) # label(fact_125_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 166 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))))) # label(fact_126_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 167 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) -> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))))) # label(fact_127_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 168 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) -> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))))) # label(fact_128_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 169 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) -> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))))) # label(fact_129_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 170 (all F_1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) -> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))))) # label(fact_130_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 171 (all F_1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) -> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))))) # label(fact_131_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 172 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) -> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))))) # label(fact_132_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 173 (all F_1 all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) -> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))))) # label(fact_133_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 174 (all F_1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) <-> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))))) # label(fact_134_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 175 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) <-> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))))) # label(fact_135_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 176 (all F_1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) <-> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))))) # label(fact_136_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 177 (all F_1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) <-> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))))) # label(fact_137_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 178 (all F_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) <-> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))))) # label(fact_138_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 179 (all F_1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) <-> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))))) # label(fact_139_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 180 (all F_1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) <-> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))))) # label(fact_140_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 181 (all F_1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) <-> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))))) # label(fact_141_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 182 (all F_1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) <-> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))))) # label(fact_142_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 183 (all F_1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) <-> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))))) # label(fact_143_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 184 (all F_1 all A all B (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) <-> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))))) # label(fact_144_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 185 (all F_1 all A all B (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) <-> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))))) # label(fact_145_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 186 (all Esa all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S),produc379668296on_val(cons_exp_list_char(E_a,Esa),S_1)),reds(Pa))))) # label(fact_146_red__reds_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 187 (all L_0_1 all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0_1,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0_1,L_a)))),transi2024712006on_val(red(Pa)))))) # label(fact_147_Red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 188 (all M1 all M2 all M3 map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3)) # label(fact_148_map__add__assoc) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 189 (all C all V all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S),produc1259058957on_val(tryCatch_list_char(E_a,C,V,E_2),S_1)),red(Pa))))) # label(fact_149_red__reds_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 190 (all F all D all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S),produc1259058957on_val(fAcc_list_char(E_a,F,D),S_1)),red(Pa))))) # label(fact_150_red__reds_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 191 (all C all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S),produc1259058957on_val(cast_list_char(C,E_a),S_1)),red(Pa))))) # label(fact_151_red__reds_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 192 (all E_1 all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1,E_2),S),produc1259058957on_val(cond_list_char(E_a,E_1,E_2),S_1)),red(Pa))))) # label(fact_152_red__reds_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 193 (all V_1 all M_1 all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S),produc379668296on_val(Es_a,S_1)),reds(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Esa),S),produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Es_a),S_1)),red(Pa))))) # label(fact_153_red__reds_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 194 (all Bop all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S),produc1259058957on_val(binOp_list_char(E_a,Bop,E_2),S_1)),red(Pa))))) # label(fact_154_red__reds_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 195 (all M_1 all Esa all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M_1,Esa),S),produc1259058957on_val(call_list_char(E_a,M_1,Esa),S_1)),red(Pa))))) # label(fact_155_red__reds_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 196 (all F all D all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S),produc1259058957on_val(fAss_list_char(E_a,F,D,E_2),S_1)),red(Pa))))) # label(fact_156_red__reds_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 197 (all V_1 all F all D all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S),produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a),S_1)),red(Pa))))) # label(fact_157_red__reds_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 198 (all V_1_1 all Bop all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea),S),produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_a),S_1)),red(Pa))))) # label(fact_158_red__reds_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.94 199 (all V_1 all C all V all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_1),C,V,E_2),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),red(Pa)))) # label(fact_159_red__reds_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 200 (all V_1 all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S),produc379668296on_val(Es_a,S_1)),reds(Pa))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S),produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a),S_1)),reds(Pa))))) # label(fact_160_red__reds_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 201 (all C all V all E_2 all Ea all S all V_1 all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_161_TryRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 202 (all V_1 all Bop all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,Ea),S),produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_162_BinOp2Reds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 203 (all V_1 all F all D all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S),produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_163_FAssReds2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 204 (all C all V all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S),produc1259058957on_val(tryCatch_list_char(E_a,C,V,E_2),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_164_TryReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 205 (all F all D all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S),produc1259058957on_val(fAcc_list_char(E_a,F,D),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_165_FAccReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 206 (all E_1 all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1,E_2),S),produc1259058957on_val(cond_list_char(E_a,E_1,E_2),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_166_CondReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 207 (all C all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S),produc1259058957on_val(cast_list_char(C,E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_167_CastReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 208 (all Bop all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S),produc1259058957on_val(binOp_list_char(E_a,Bop,E_2),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_168_BinOp1Reds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 209 (all F all D all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S),produc1259058957on_val(fAss_list_char(E_a,F,D,E_2),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_169_FAssReds1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 210 (all M_1 all Esa all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M_1,Esa),S),produc1259058957on_val(call_list_char(E_a,M_1,Esa),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_170_CallRedsObj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 211 (all A all R hBOOL(member649088532al_val(product_Pair_val_val(A,A),transi935034983cl_val(R)))) # label(fact_171_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 212 (all A all R hBOOL(member773094996on_val(produc1441475159on_val(A,A),transi2024712006on_val(R)))) # label(fact_172_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 213 (all A all R hBOOL(member875476972on_val(produc1611380469on_val(A,A),transi374442731on_val(R)))) # label(fact_173_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 214 (all A all R hBOOL(member1251428284t_char(produc5062597t_char(A,A),transi1395422419t_char(R)))) # label(fact_174_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 215 (all P_1 all R (hBOOL(member649088532al_val(P_1,R)) -> hBOOL(member649088532al_val(P_1,transi935034983cl_val(R))))) # label(fact_175_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 216 (all P_1 all R (hBOOL(member773094996on_val(P_1,R)) -> hBOOL(member773094996on_val(P_1,transi2024712006on_val(R))))) # label(fact_176_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 217 (all P_1 all R (hBOOL(member875476972on_val(P_1,R)) -> hBOOL(member875476972on_val(P_1,transi374442731on_val(R))))) # label(fact_177_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 218 (all P_1 all R (hBOOL(member1251428284t_char(P_1,R)) -> hBOOL(member1251428284t_char(P_1,transi1395422419t_char(R))))) # label(fact_178_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 219 (all V_1 all M_1 all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S),produc379668296on_val(Es_a,S_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Esa),S),produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Es_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_179_CallRedsParams) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 220 (all Esa all Es_a all S_2 all Ea all S_0 all V_1 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_2),produc379668296on_val(Es_a,S_2)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_0),produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a),S_2)),transi374442731on_val(reds(Pa))))))) # label(fact_180_ListRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 221 (all Esa all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S),produc379668296on_val(cons_exp_list_char(E_a,Esa),S_1)),transi374442731on_val(reds(Pa)))))) # label(fact_181_ListReds1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 222 (all Exp1_145 all List_49 all A_76 all Exp2_145 all Exp_145 all List1_73 all List2_73 tryCatch_list_char(Exp1_145,List_49,A_76,Exp2_145) != fAcc_list_char(Exp_145,List1_73,List2_73)) # label(fact_182_exp_Osimps_I169_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 223 (all Exp_144 all List1_72 all List2_72 all Exp1_144 all List_48 all A_75 all Exp2_144 fAcc_list_char(Exp_144,List1_72,List2_72) != tryCatch_list_char(Exp1_144,List_48,A_75,Exp2_144)) # label(fact_183_exp_Osimps_I168_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 224 (all Exp1_143 all List_47 all A_74 all Exp2_143 all Exp1_142 all Exp2_142 all Exp3_25 tryCatch_list_char(Exp1_143,List_47,A_74,Exp2_143) != cond_list_char(Exp1_142,Exp2_142,Exp3_25)) # label(fact_184_exp_Osimps_I219_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 225 (all Exp1_141 all List_46 all A_73 all Exp2_141 all List_45 all Exp_143 tryCatch_list_char(Exp1_141,List_46,A_73,Exp2_141) != cast_list_char(List_45,Exp_143)) # label(fact_185_exp_Osimps_I69_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 226 (all Val_25 all Val_24 (hAPP_v834067052t_char(val_list_char,Val_25) = hAPP_v834067052t_char(val_list_char,Val_24) <-> Val_25 = Val_24)) # label(fact_186_exp_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 227 (all R transi935034983cl_val(transi935034983cl_val(R)) = transi935034983cl_val(R)) # label(fact_187_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 228 (all R transi2024712006on_val(transi2024712006on_val(R)) = transi2024712006on_val(R)) # label(fact_188_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 229 (all R transi374442731on_val(transi374442731on_val(R)) = transi374442731on_val(R)) # label(fact_189_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 230 (all R transi1395422419t_char(transi1395422419t_char(R)) = transi1395422419t_char(R)) # label(fact_190_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 231 (all Exp_21 all List1_71 all List2_71 all Exp_20 all List1_70 all List2_70 (call_list_char(Exp_21,List1_71,List2_71) = call_list_char(Exp_20,List1_70,List2_70) <-> Exp_21 = Exp_20 & List1_71 = List1_70 & List2_71 = List2_70)) # label(fact_191_exp_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 232 (all Exp1_55 all List1_71 all List2_71 all Exp2_55 all Exp1_54 all List1_70 all List2_70 all Exp2_54 (fAss_list_char(Exp1_55,List1_71,List2_71,Exp2_55) = fAss_list_char(Exp1_54,List1_70,List2_70,Exp2_54) <-> Exp1_55 = Exp1_54 & List1_71 = List1_70 & List2_71 = List2_70 & Exp2_55 = Exp2_54)) # label(fact_192_exp_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 233 (all Exp1_55 all Bop all Exp2_55 all Exp1_54 all Bop_25 all Exp2_54 (is_bop(Bop) & is_bop(Bop_25) -> (binOp_list_char(Exp1_55,Bop,Exp2_55) = binOp_list_char(Exp1_54,Bop_25,Exp2_54) <-> Exp1_55 = Exp1_54 & Bop = Bop_25 & Exp2_55 = Exp2_54))) # label(fact_193_exp_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 234 (all List_9 all Exp_21 all List_8 all Exp_20 (cast_list_char(List_9,Exp_21) = cast_list_char(List_8,Exp_20) <-> List_9 = List_8 & Exp_21 = Exp_20)) # label(fact_194_exp_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 235 (all Exp1_55 all Exp2_55 all Exp3_24 all Exp1_54 all Exp2_54 all Exp3_23 (cond_list_char(Exp1_55,Exp2_55,Exp3_24) = cond_list_char(Exp1_54,Exp2_54,Exp3_23) <-> Exp1_55 = Exp1_54 & Exp2_55 = Exp2_54 & Exp3_24 = Exp3_23)) # label(fact_195_exp_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 236 (all Exp_21 all List1_71 all List2_71 all Exp_20 all List1_70 all List2_70 (fAcc_list_char(Exp_21,List1_71,List2_71) = fAcc_list_char(Exp_20,List1_70,List2_70) <-> Exp_21 = Exp_20 & List1_71 = List1_70 & List2_71 = List2_70)) # label(fact_196_exp_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 237 (all Exp1_55 all List_9 all A all Exp2_55 all Exp1_54 all List_8 all A_19 all Exp2_54 (tryCatch_list_char(Exp1_55,List_9,A,Exp2_55) = tryCatch_list_char(Exp1_54,List_8,A_19,Exp2_54) <-> Exp1_55 = Exp1_54 & List_9 = List_8 & A = A_19 & Exp2_55 = Exp2_54)) # label(fact_197_exp_Osimps_I15_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 238 (all V_1 all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S),produc379668296on_val(Es_a,S_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S),produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a),S_1)),transi374442731on_val(reds(Pa)))))) # label(fact_198_ListReds2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 239 (all C_2 all A all B all R (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R))) -> (hBOOL(member649088532al_val(product_Pair_val_val(B,C_2),transi935034983cl_val(R))) -> hBOOL(member649088532al_val(product_Pair_val_val(A,C_2),transi935034983cl_val(R)))))) # label(fact_199_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 240 (all C_2 all A all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_2),transi2024712006on_val(R))) -> hBOOL(member773094996on_val(produc1441475159on_val(A,C_2),transi2024712006on_val(R)))))) # label(fact_200_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 241 (all C_2 all A all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_2),transi374442731on_val(R))) -> hBOOL(member875476972on_val(produc1611380469on_val(A,C_2),transi374442731on_val(R)))))) # label(fact_201_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 242 (all C_2 all A all B all R (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R))) -> (hBOOL(member1251428284t_char(produc5062597t_char(B,C_2),transi1395422419t_char(R))) -> hBOOL(member1251428284t_char(produc5062597t_char(A,C_2),transi1395422419t_char(R)))))) # label(fact_202_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 243 (all C_2 all A all B all R (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R))) -> (hBOOL(member649088532al_val(product_Pair_val_val(B,C_2),R)) -> hBOOL(member649088532al_val(product_Pair_val_val(A,C_2),transi935034983cl_val(R)))))) # label(fact_203_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 244 (all C_2 all A all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_2),R)) -> hBOOL(member773094996on_val(produc1441475159on_val(A,C_2),transi2024712006on_val(R)))))) # label(fact_204_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 245 (all C_2 all A all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_2),R)) -> hBOOL(member875476972on_val(produc1611380469on_val(A,C_2),transi374442731on_val(R)))))) # label(fact_205_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 246 (all C_2 all A all B all R (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R))) -> (hBOOL(member1251428284t_char(produc5062597t_char(B,C_2),R)) -> hBOOL(member1251428284t_char(produc5062597t_char(A,C_2),transi1395422419t_char(R)))))) # label(fact_206_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 247 (all C_2 all A all B all R (hBOOL(member649088532al_val(product_Pair_val_val(A,B),R)) -> (hBOOL(member649088532al_val(product_Pair_val_val(B,C_2),transi935034983cl_val(R))) -> hBOOL(member649088532al_val(product_Pair_val_val(A,C_2),transi935034983cl_val(R)))))) # label(fact_207_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 248 (all C_2 all A all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A,B),R)) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_2),transi2024712006on_val(R))) -> hBOOL(member773094996on_val(produc1441475159on_val(A,C_2),transi2024712006on_val(R)))))) # label(fact_208_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 249 (all C_2 all A all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A,B),R)) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_2),transi374442731on_val(R))) -> hBOOL(member875476972on_val(produc1611380469on_val(A,C_2),transi374442731on_val(R)))))) # label(fact_209_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 250 (all C_2 all A all B all R (hBOOL(member1251428284t_char(produc5062597t_char(A,B),R)) -> (hBOOL(member1251428284t_char(produc5062597t_char(B,C_2),transi1395422419t_char(R))) -> hBOOL(member1251428284t_char(produc5062597t_char(A,C_2),transi1395422419t_char(R)))))) # label(fact_210_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 251 (all Val_23 all Exp_142 all List1_69 all List2_69 hAPP_v834067052t_char(val_list_char,Val_23) != call_list_char(Exp_142,List1_69,List2_69)) # label(fact_211_exp_Osimps_I80_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 252 (all Val_22 all Exp1_140 all List1_68 all List2_68 all Exp2_140 hAPP_v834067052t_char(val_list_char,Val_22) != fAss_list_char(Exp1_140,List1_68,List2_68,Exp2_140)) # label(fact_212_exp_Osimps_I78_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 253 (all X_1 all A_72 (hBOOL(member649088532al_val(X_1,A_72)) <-> hBOOL(hAPP_P929938951l_bool(A_72,X_1)))) # label(fact_213_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 254 (all X_1 all A_72 (hBOOL(member773094996on_val(X_1,A_72)) <-> hBOOL(hAPP_P282169671l_bool(A_72,X_1)))) # label(fact_214_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 255 (all X_1 all A_72 (hBOOL(member875476972on_val(X_1,A_72)) <-> hBOOL(hAPP_P1333315679l_bool(A_72,X_1)))) # label(fact_215_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 256 (all X_1 all A_72 (hBOOL(member1251428284t_char(X_1,A_72)) <-> hBOOL(hAPP_P449474095r_bool(A_72,X_1)))) # label(fact_216_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 257 (all Exp_141 all List1_67 all List2_67 all Val_21 call_list_char(Exp_141,List1_67,List2_67) != hAPP_v834067052t_char(val_list_char,Val_21)) # label(fact_217_exp_Osimps_I81_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 258 (all Exp1_139 all List1_66 all List2_66 all Exp2_139 all Val_20 fAss_list_char(Exp1_139,List1_66,List2_66,Exp2_139) != hAPP_v834067052t_char(val_list_char,Val_20)) # label(fact_218_exp_Osimps_I79_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 259 (all Val_19 all Exp1_138 all Bop_24 all Exp2_138 hAPP_v834067052t_char(val_list_char,Val_19) != binOp_list_char(Exp1_138,Bop_24,Exp2_138)) # label(fact_219_exp_Osimps_I70_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 260 (all Exp1_137 all Bop_23 all Exp2_137 all Val_18 binOp_list_char(Exp1_137,Bop_23,Exp2_137) != hAPP_v834067052t_char(val_list_char,Val_18)) # label(fact_220_exp_Osimps_I71_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 261 (all Val_17 all List_44 all Exp_140 hAPP_v834067052t_char(val_list_char,Val_17) != cast_list_char(List_44,Exp_140)) # label(fact_221_exp_Osimps_I45_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 262 (all Val_16 all Exp1_136 all Exp2_136 all Exp3_22 hAPP_v834067052t_char(val_list_char,Val_16) != cond_list_char(Exp1_136,Exp2_136,Exp3_22)) # label(fact_222_exp_Osimps_I86_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 263 (all List_43 all Exp_139 all Val_15 cast_list_char(List_43,Exp_139) != hAPP_v834067052t_char(val_list_char,Val_15)) # label(fact_223_exp_Osimps_I44_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 264 (all Exp1_135 all Exp2_135 all Exp3_21 all Val_14 cond_list_char(Exp1_135,Exp2_135,Exp3_21) != hAPP_v834067052t_char(val_list_char,Val_14)) # label(fact_224_exp_Osimps_I87_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 265 (all Val_13 all Exp_138 all List1_65 all List2_65 hAPP_v834067052t_char(val_list_char,Val_13) != fAcc_list_char(Exp_138,List1_65,List2_65)) # label(fact_225_exp_Osimps_I76_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 266 (all Exp_137 all List1_64 all List2_64 all Val_12 fAcc_list_char(Exp_137,List1_64,List2_64) != hAPP_v834067052t_char(val_list_char,Val_12)) # label(fact_226_exp_Osimps_I77_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 267 (all Val_11 all Exp1_134 all List_42 all A_71 all Exp2_134 hAPP_v834067052t_char(val_list_char,Val_11) != tryCatch_list_char(Exp1_134,List_42,A_71,Exp2_134)) # label(fact_227_exp_Osimps_I92_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 268 (all Exp1_133 all List_41 all A_70 all Exp2_133 all Val_10 tryCatch_list_char(Exp1_133,List_41,A_70,Exp2_133) != hAPP_v834067052t_char(val_list_char,Val_10)) # label(fact_228_exp_Osimps_I93_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 269 (all Exp_136 all List1_63 all List2_63 all Exp1_132 all List1_62 all List2_62 all Exp2_132 call_list_char(Exp_136,List1_63,List2_63) != fAss_list_char(Exp1_132,List1_62,List2_62,Exp2_132)) # label(fact_229_exp_Osimps_I171_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 270 (all Exp1_131 all List1_61 all List2_61 all Exp2_131 all Exp_135 all List1_60 all List2_60 fAss_list_char(Exp1_131,List1_61,List2_61,Exp2_131) != call_list_char(Exp_135,List1_60,List2_60)) # label(fact_230_exp_Osimps_I170_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 271 (all Exp_134 all List1_59 all List2_59 all Exp1_130 all Bop_22 all Exp2_130 call_list_char(Exp_134,List1_59,List2_59) != binOp_list_char(Exp1_130,Bop_22,Exp2_130)) # label(fact_231_exp_Osimps_I103_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 272 (all Exp1_129 all Bop_21 all Exp2_129 all Exp_133 all List1_58 all List2_58 binOp_list_char(Exp1_129,Bop_21,Exp2_129) != call_list_char(Exp_133,List1_58,List2_58)) # label(fact_232_exp_Osimps_I102_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 273 (all Exp1_128 all Bop_20 all Exp2_128 all Exp1_127 all List1_57 all List2_57 all Exp2_127 binOp_list_char(Exp1_128,Bop_20,Exp2_128) != fAss_list_char(Exp1_127,List1_57,List2_57,Exp2_127)) # label(fact_233_exp_Osimps_I100_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 274 (all Exp1_126 all List1_56 all List2_56 all Exp2_126 all Exp1_125 all Bop_19 all Exp2_125 fAss_list_char(Exp1_126,List1_56,List2_56,Exp2_126) != binOp_list_char(Exp1_125,Bop_19,Exp2_125)) # label(fact_234_exp_Osimps_I101_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 275 (all List_40 all Exp_132 all Exp_131 all List1_55 all List2_55 cast_list_char(List_40,Exp_132) != call_list_char(Exp_131,List1_55,List2_55)) # label(fact_235_exp_Osimps_I56_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 276 (all List_39 all Exp_130 all Exp1_124 all List1_54 all List2_54 all Exp2_124 cast_list_char(List_39,Exp_130) != fAss_list_char(Exp1_124,List1_54,List2_54,Exp2_124)) # label(fact_236_exp_Osimps_I54_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 277 (all Exp_129 all List1_53 all List2_53 all List_38 all Exp_128 call_list_char(Exp_129,List1_53,List2_53) != cast_list_char(List_38,Exp_128)) # label(fact_237_exp_Osimps_I57_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 278 (all Exp_127 all List1_52 all List2_52 all Exp1_123 all Exp2_123 all Exp3_20 call_list_char(Exp_127,List1_52,List2_52) != cond_list_char(Exp1_123,Exp2_123,Exp3_20)) # label(fact_238_exp_Osimps_I188_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 279 (all Exp1_122 all Exp2_122 all Exp3_19 all Exp_126 all List1_51 all List2_51 cond_list_char(Exp1_122,Exp2_122,Exp3_19) != call_list_char(Exp_126,List1_51,List2_51)) # label(fact_239_exp_Osimps_I189_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 280 (all Exp1_121 all Exp2_121 all Exp3_18 all Exp1_120 all List1_50 all List2_50 all Exp2_120 cond_list_char(Exp1_121,Exp2_121,Exp3_18) != fAss_list_char(Exp1_120,List1_50,List2_50,Exp2_120)) # label(fact_240_exp_Osimps_I177_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 281 (all Exp1_119 all List1_49 all List2_49 all Exp2_119 all List_37 all Exp_125 fAss_list_char(Exp1_119,List1_49,List2_49,Exp2_119) != cast_list_char(List_37,Exp_125)) # label(fact_241_exp_Osimps_I55_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 282 (all Exp1_118 all List1_48 all List2_48 all Exp2_118 all Exp1_117 all Exp2_117 all Exp3_17 fAss_list_char(Exp1_118,List1_48,List2_48,Exp2_118) != cond_list_char(Exp1_117,Exp2_117,Exp3_17)) # label(fact_242_exp_Osimps_I176_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 283 (all List_36 all Exp_124 all Exp1_116 all Bop_18 all Exp2_116 cast_list_char(List_36,Exp_124) != binOp_list_char(Exp1_116,Bop_18,Exp2_116)) # label(fact_243_exp_Osimps_I46_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 284 (all Exp1_115 all Bop_17 all Exp2_115 all List_35 all Exp_123 binOp_list_char(Exp1_115,Bop_17,Exp2_115) != cast_list_char(List_35,Exp_123)) # label(fact_244_exp_Osimps_I47_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 285 (all Exp1_114 all Exp2_114 all Exp3_16 all Exp1_113 all Bop_16 all Exp2_113 cond_list_char(Exp1_114,Exp2_114,Exp3_16) != binOp_list_char(Exp1_113,Bop_16,Exp2_113)) # label(fact_245_exp_Osimps_I109_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 286 (all Exp1_112 all Bop_15 all Exp2_112 all Exp1_111 all Exp2_111 all Exp3_15 binOp_list_char(Exp1_112,Bop_15,Exp2_112) != cond_list_char(Exp1_111,Exp2_111,Exp3_15)) # label(fact_246_exp_Osimps_I108_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 287 (all Exp_122 all List1_47 all List2_47 all Exp_121 all List1_46 all List2_46 call_list_char(Exp_122,List1_47,List2_47) != fAcc_list_char(Exp_121,List1_46,List2_46)) # label(fact_247_exp_Osimps_I157_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 288 (all Exp_120 all List1_45 all List2_45 all Exp_119 all List1_44 all List2_44 fAcc_list_char(Exp_120,List1_45,List2_45) != call_list_char(Exp_119,List1_44,List2_44)) # label(fact_248_exp_Osimps_I156_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 289 (all Exp_118 all List1_43 all List2_43 all Exp1_110 all List1_42 all List2_42 all Exp2_110 fAcc_list_char(Exp_118,List1_43,List2_43) != fAss_list_char(Exp1_110,List1_42,List2_42,Exp2_110)) # label(fact_249_exp_Osimps_I154_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 290 (all Exp1_109 all List1_41 all List2_41 all Exp2_109 all Exp_117 all List1_40 all List2_40 fAss_list_char(Exp1_109,List1_41,List2_41,Exp2_109) != fAcc_list_char(Exp_117,List1_40,List2_40)) # label(fact_250_exp_Osimps_I155_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 291 (all Exp_116 all List1_39 all List2_39 all Exp1_108 all Bop_14 all Exp2_108 fAcc_list_char(Exp_116,List1_39,List2_39) != binOp_list_char(Exp1_108,Bop_14,Exp2_108)) # label(fact_251_exp_Osimps_I99_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 292 (all Exp1_107 all Bop_13 all Exp2_107 all Exp_115 all List1_38 all List2_38 binOp_list_char(Exp1_107,Bop_13,Exp2_107) != fAcc_list_char(Exp_115,List1_38,List2_38)) # label(fact_252_exp_Osimps_I98_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 293 (all Exp_114 all List1_37 all List2_37 all Exp1_106 all List_34 all A_69 all Exp2_106 call_list_char(Exp_114,List1_37,List2_37) != tryCatch_list_char(Exp1_106,List_34,A_69,Exp2_106)) # label(fact_253_exp_Osimps_I194_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 294 (all Exp1_105 all List_33 all A_68 all Exp2_105 all Exp_113 all List1_36 all List2_36 tryCatch_list_char(Exp1_105,List_33,A_68,Exp2_105) != call_list_char(Exp_113,List1_36,List2_36)) # label(fact_254_exp_Osimps_I195_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 295 (all Exp1_104 all List1_35 all List2_35 all Exp2_104 all Exp1_103 all List_32 all A_67 all Exp2_103 fAss_list_char(Exp1_104,List1_35,List2_35,Exp2_104) != tryCatch_list_char(Exp1_103,List_32,A_67,Exp2_103)) # label(fact_255_exp_Osimps_I182_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 296 (all Exp1_102 all List_31 all A_66 all Exp2_102 all Exp1_101 all List1_34 all List2_34 all Exp2_101 tryCatch_list_char(Exp1_102,List_31,A_66,Exp2_102) != fAss_list_char(Exp1_101,List1_34,List2_34,Exp2_101)) # label(fact_256_exp_Osimps_I183_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 297 (all Exp1_100 all Bop_12 all Exp2_100 all Exp1_99 all List_30 all A_65 all Exp2_99 binOp_list_char(Exp1_100,Bop_12,Exp2_100) != tryCatch_list_char(Exp1_99,List_30,A_65,Exp2_99)) # label(fact_257_exp_Osimps_I114_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 298 (all Exp1_98 all List_29 all A_64 all Exp2_98 all Exp1_97 all Bop_11 all Exp2_97 tryCatch_list_char(Exp1_98,List_29,A_64,Exp2_98) != binOp_list_char(Exp1_97,Bop_11,Exp2_97)) # label(fact_258_exp_Osimps_I115_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 299 (all List_28 all Exp_112 all Exp1_96 all Exp2_96 all Exp3_14 cast_list_char(List_28,Exp_112) != cond_list_char(Exp1_96,Exp2_96,Exp3_14)) # label(fact_259_exp_Osimps_I62_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 300 (all Exp1_95 all Exp2_95 all Exp3_13 all List_27 all Exp_111 cond_list_char(Exp1_95,Exp2_95,Exp3_13) != cast_list_char(List_27,Exp_111)) # label(fact_260_exp_Osimps_I63_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 301 (all List_26 all Exp_110 all Exp_109 all List1_33 all List2_33 cast_list_char(List_26,Exp_110) != fAcc_list_char(Exp_109,List1_33,List2_33)) # label(fact_261_exp_Osimps_I52_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 302 (all Exp_108 all List1_32 all List2_32 all List_25 all Exp_107 fAcc_list_char(Exp_108,List1_32,List2_32) != cast_list_char(List_25,Exp_107)) # label(fact_262_exp_Osimps_I53_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 303 (all Exp1_94 all Exp2_94 all Exp3_12 all Exp_106 all List1_31 all List2_31 cond_list_char(Exp1_94,Exp2_94,Exp3_12) != fAcc_list_char(Exp_106,List1_31,List2_31)) # label(fact_263_exp_Osimps_I163_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 304 (all Exp_105 all List1_30 all List2_30 all Exp1_93 all Exp2_93 all Exp3_11 fAcc_list_char(Exp_105,List1_30,List2_30) != cond_list_char(Exp1_93,Exp2_93,Exp3_11)) # label(fact_264_exp_Osimps_I162_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 305 (all List_24 all Exp_104 all Exp1_92 all List_23 all A_63 all Exp2_92 cast_list_char(List_24,Exp_104) != tryCatch_list_char(Exp1_92,List_23,A_63,Exp2_92)) # label(fact_265_exp_Osimps_I68_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 306 (all Exp1_91 all Exp2_91 all Exp3_10 all Exp1_90 all List_22 all A_62 all Exp2_90 cond_list_char(Exp1_91,Exp2_91,Exp3_10) != tryCatch_list_char(Exp1_90,List_22,A_62,Exp2_90)) # label(fact_266_exp_Osimps_I218_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 307 (all Xa all Xb all Za all Zb all R (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa,Xb),produc379668296on_val(Za,Zb)),transi374442731on_val(R))) -> (produc379668296on_val(Xa,Xb) != produc379668296on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa,Xb),produc379668296on_val(A_1,B_1)),R)) -> -hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_1,B_1),produc379668296on_val(Za,Zb)),transi374442731on_val(R)))))))) # label(fact_267_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 308 (all Xa all Xb all Za all Zb all R (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa,Xb),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R))) -> (produc1259058957on_val(Xa,Xb) != produc1259058957on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa,Xb),produc1259058957on_val(A_1,B_1)),R)) -> -hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_1,B_1),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R)))))))) # label(fact_268_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 309 (all Xa all Xb all Za all Zb all R (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Xa,Xb),product_Pair_val_val(Za,Zb)),transi1423755450al_val(R))) -> (product_Pair_val_val(Xa,Xb) != product_Pair_val_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Xa,Xb),product_Pair_val_val(A_1,B_1)),R)) -> -hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(A_1,B_1),product_Pair_val_val(Za,Zb)),transi1423755450al_val(R)))))))) # label(fact_269_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 310 (all Xa all Xb all Za all Zb all R (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Xa,Xb),produc621191550al_val(Za,Zb)),transi1906258203al_val(R))) -> (produc621191550al_val(Xa,Xb) != produc621191550al_val(Za,Zb) -> -(all A_1 all B_1 (is_bop(A_1) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Xa,Xb),produc621191550al_val(A_1,B_1)),R)) -> -hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(A_1,B_1),produc621191550al_val(Za,Zb)),transi1906258203al_val(R))))))))) # label(fact_270_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 311 (all Xa all Xb all Za all Zb all R (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Xa,Xb),produc5062597t_char(Za,Zb)),transi1095029602t_char(R))) -> (produc5062597t_char(Xa,Xb) != produc5062597t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Xa,Xb),produc5062597t_char(A_1,B_1)),R)) -> -hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(A_1,B_1),produc5062597t_char(Za,Zb)),transi1095029602t_char(R)))))))) # label(fact_271_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 312 (all Xa all Xb all Za all Zb all R (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Xa,Xb),produc823076510on_val(Za,Zb)),transi61620055on_val(R))) -> (produc823076510on_val(Xa,Xb) != produc823076510on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Xa,Xb),produc823076510on_val(A_1,B_1)),R)) -> -hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(A_1,B_1),produc823076510on_val(Za,Zb)),transi61620055on_val(R)))))))) # label(fact_272_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 313 (all Xa all Xb all Za all Zb all R (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Xa,Xb),produc1916172923t_char(Za,Zb)),transi1789604888t_char(R))) -> (produc1916172923t_char(Xa,Xb) != produc1916172923t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Xa,Xb),produc1916172923t_char(A_1,B_1)),R)) -> -hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(A_1,B_1),produc1916172923t_char(Za,Zb)),transi1789604888t_char(R)))))))) # label(fact_273_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 314 (all Xa all Xb all Za all Zb all R (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Xa,Xb),produc1909267824t_char(Za,Zb)),transi1257872013t_char(R))) -> (produc1909267824t_char(Xa,Xb) != produc1909267824t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Xa,Xb),produc1909267824t_char(A_1,B_1)),R)) -> -hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(A_1,B_1),produc1909267824t_char(Za,Zb)),transi1257872013t_char(R)))))))) # label(fact_274_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 315 (all Xa all Xb all Za all Zb all R (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Xa,Xb),produc921874948t_char(Za,Zb)),transi122195895t_char(R))) -> (produc921874948t_char(Xa,Xb) != produc921874948t_char(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Xa,Xb),produc921874948t_char(A_1,B_1)),R)) -> -hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(A_1,B_1),produc921874948t_char(Za,Zb)),transi122195895t_char(R)))))))) # label(fact_275_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 316 (all Xa all Xb all Za all Zb all R (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa,Xb),produc1611380469on_val(Za,Zb)),transi208336786on_val(R))) -> (produc1611380469on_val(Xa,Xb) != produc1611380469on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa,Xb),produc1611380469on_val(A_1,B_1)),R)) -> -hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_1,B_1),produc1611380469on_val(Za,Zb)),transi208336786on_val(R)))))))) # label(fact_276_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 317 (all Xa all Xb all Za all Zb all R (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa,Xb),produc899768717on_val(Za,Zb)),transi921647814on_val(R))) -> (produc899768717on_val(Xa,Xb) != produc899768717on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa,Xb),produc899768717on_val(A_1,B_1)),R)) -> -hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_1,B_1),produc899768717on_val(Za,Zb)),transi921647814on_val(R)))))))) # label(fact_277_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 318 (all Xa all Xb all Za all Zb all R (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa,Xb),produc1441475159on_val(Za,Zb)),transi910771962on_val(R))) -> (produc1441475159on_val(Xa,Xb) != produc1441475159on_val(Za,Zb) -> -(all A_1 all B_1 (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa,Xb),produc1441475159on_val(A_1,B_1)),R)) -> -hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_1,B_1),produc1441475159on_val(Za,Zb)),transi910771962on_val(R)))))))) # label(fact_278_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 319 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(Bx,By)),transi374442731on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_1,B_1),produc379668296on_val(Aa,Ba)),R)) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Aa,Ba),produc379668296on_val(Bx,By)),transi374442731on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)))))) # label(fact_279_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 320 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(Bx,By)),transi2024712006on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_1,B_1),produc1259058957on_val(Aa,Ba)),R)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Aa,Ba),produc1259058957on_val(Bx,By)),transi2024712006on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)))))) # label(fact_280_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 321 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Ax,Ay),product_Pair_val_val(Bx,By)),transi1423755450al_val(R))) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(A_1,B_1),product_Pair_val_val(Aa,Ba)),R)) -> (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Aa,Ba),product_Pair_val_val(Bx,By)),transi1423755450al_val(R))) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)))))) # label(fact_281_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 322 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Ax,Ay),produc621191550al_val(Bx,By)),transi1906258203al_val(R))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (is_bop(A_1) & is_bop(Aa) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(A_1,B_1),produc621191550al_val(Aa,Ba)),R)) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Aa,Ba),produc621191550al_val(Bx,By)),transi1906258203al_val(R))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_1))))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)))))) # label(fact_282_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 323 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Ax,Ay),produc5062597t_char(Bx,By)),transi1095029602t_char(R))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(A_1,B_1),produc5062597t_char(Aa,Ba)),R)) -> (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Aa,Ba),produc5062597t_char(Bx,By)),transi1095029602t_char(R))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)))))) # label(fact_283_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 324 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Ax,Ay),produc823076510on_val(Bx,By)),transi61620055on_val(R))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(A_1,B_1),produc823076510on_val(Aa,Ba)),R)) -> (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Aa,Ba),produc823076510on_val(Bx,By)),transi61620055on_val(R))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)))))) # label(fact_284_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 325 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Ax,Ay),produc1916172923t_char(Bx,By)),transi1789604888t_char(R))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(A_1,B_1),produc1916172923t_char(Aa,Ba)),R)) -> (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Aa,Ba),produc1916172923t_char(Bx,By)),transi1789604888t_char(R))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)))))) # label(fact_285_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 326 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Ax,Ay),produc1909267824t_char(Bx,By)),transi1257872013t_char(R))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(A_1,B_1),produc1909267824t_char(Aa,Ba)),R)) -> (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Aa,Ba),produc1909267824t_char(Bx,By)),transi1257872013t_char(R))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)))))) # label(fact_286_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 327 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Ax,Ay),produc921874948t_char(Bx,By)),transi122195895t_char(R))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(A_1,B_1),produc921874948t_char(Aa,Ba)),R)) -> (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Aa,Ba),produc921874948t_char(Bx,By)),transi122195895t_char(R))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)))))) # label(fact_287_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 328 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(Bx,By)),transi208336786on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_1,B_1),produc1611380469on_val(Aa,Ba)),R)) -> (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Aa,Ba),produc1611380469on_val(Bx,By)),transi208336786on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)))))) # label(fact_288_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 329 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(Bx,By)),transi921647814on_val(R))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_1,B_1),produc899768717on_val(Aa,Ba)),R)) -> (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Aa,Ba),produc899768717on_val(Bx,By)),transi921647814on_val(R))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)))))) # label(fact_289_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 330 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(Bx,By)),transi910771962on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_1,B_1),produc1441475159on_val(Aa,Ba)),R)) -> (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Aa,Ba),produc1441475159on_val(Bx,By)),transi910771962on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_1)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)))))) # label(fact_290_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 331 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(Bx,By)),transi374442731on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(A_1,B_1)),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_1,B_1),produc379668296on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)))))) # label(fact_291_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 332 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(Bx,By)),transi2024712006on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(A_1,B_1)),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_1,B_1),produc1259058957on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)))))) # label(fact_292_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 333 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Ax,Ay),product_Pair_val_val(Bx,By)),transi1423755450al_val(R))) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Ax,Ay),product_Pair_val_val(A_1,B_1)),transi1423755450al_val(R))) -> (hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(A_1,B_1),product_Pair_val_val(Aa,Ba)),R)) -> (hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)))))) # label(fact_293_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 334 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Ax,Ay),produc621191550al_val(Bx,By)),transi1906258203al_val(R))) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (is_bop(A_1) & is_bop(Aa) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Ax,Ay),produc621191550al_val(A_1,B_1)),transi1906258203al_val(R))) -> (hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(A_1,B_1),produc621191550al_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba))))))) -> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)))))) # label(fact_294_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 335 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Ax,Ay),produc5062597t_char(Bx,By)),transi1095029602t_char(R))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Ax,Ay),produc5062597t_char(A_1,B_1)),transi1095029602t_char(R))) -> (hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(A_1,B_1),produc5062597t_char(Aa,Ba)),R)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)))))) # label(fact_295_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 336 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Ax,Ay),produc823076510on_val(Bx,By)),transi61620055on_val(R))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Ax,Ay),produc823076510on_val(A_1,B_1)),transi61620055on_val(R))) -> (hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(A_1,B_1),produc823076510on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)))))) # label(fact_296_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 337 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Ax,Ay),produc1916172923t_char(Bx,By)),transi1789604888t_char(R))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Ax,Ay),produc1916172923t_char(A_1,B_1)),transi1789604888t_char(R))) -> (hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(A_1,B_1),produc1916172923t_char(Aa,Ba)),R)) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)))))) # label(fact_297_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 338 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Ax,Ay),produc1909267824t_char(Bx,By)),transi1257872013t_char(R))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Ax,Ay),produc1909267824t_char(A_1,B_1)),transi1257872013t_char(R))) -> (hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(A_1,B_1),produc1909267824t_char(Aa,Ba)),R)) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)))))) # label(fact_298_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 339 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Ax,Ay),produc921874948t_char(Bx,By)),transi122195895t_char(R))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Ax,Ay),produc921874948t_char(A_1,B_1)),transi122195895t_char(R))) -> (hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(A_1,B_1),produc921874948t_char(Aa,Ba)),R)) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)))))) # label(fact_299_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 340 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(Bx,By)),transi208336786on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(A_1,B_1)),transi208336786on_val(R))) -> (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_1,B_1),produc1611380469on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)))))) # label(fact_300_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 341 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(Bx,By)),transi921647814on_val(R))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(A_1,B_1)),transi921647814on_val(R))) -> (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_1,B_1),produc899768717on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)))))) # label(fact_301_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 342 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(Bx,By)),transi910771962on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) -> ((all A_1 all B_1 all Aa all Ba (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(A_1,B_1)),transi910771962on_val(R))) -> (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_1,B_1),produc1441475159on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_1)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)))))) # label(fact_302_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 343 (all A all B all R (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R))) -> (A != B -> -(all Y_2 (hBOOL(member649088532al_val(product_Pair_val_val(A,Y_2),transi935034983cl_val(R))) -> -hBOOL(member649088532al_val(product_Pair_val_val(Y_2,B),R))))))) # label(fact_303_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 344 (all A all B all R (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R))) -> (A != B -> -(all Y_2 (hBOOL(member1251428284t_char(produc5062597t_char(A,Y_2),transi1395422419t_char(R))) -> -hBOOL(member1251428284t_char(produc5062597t_char(Y_2,B),R))))))) # label(fact_304_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 345 (all A all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R))) -> (A != B -> -(all Y_2 (hBOOL(member875476972on_val(produc1611380469on_val(A,Y_2),transi374442731on_val(R))) -> -hBOOL(member875476972on_val(produc1611380469on_val(Y_2,B),R))))))) # label(fact_305_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 346 (all A all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R))) -> (A != B -> -(all Y_2 (hBOOL(member773094996on_val(produc1441475159on_val(A,Y_2),transi2024712006on_val(R))) -> -hBOOL(member773094996on_val(produc1441475159on_val(Y_2,B),R))))))) # label(fact_306_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 347 (all X_1 all Z_1 all R (hBOOL(member649088532al_val(product_Pair_val_val(X_1,Z_1),transi935034983cl_val(R))) -> (X_1 != Z_1 -> -(all Y_2 (hBOOL(member649088532al_val(product_Pair_val_val(X_1,Y_2),R)) -> -hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z_1),transi935034983cl_val(R)))))))) # label(fact_307_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 348 (all X_1 all Z_1 all R (hBOOL(member1251428284t_char(produc5062597t_char(X_1,Z_1),transi1395422419t_char(R))) -> (X_1 != Z_1 -> -(all Y_2 (hBOOL(member1251428284t_char(produc5062597t_char(X_1,Y_2),R)) -> -hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z_1),transi1395422419t_char(R)))))))) # label(fact_308_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 349 (all X_1 all Z_1 all R (hBOOL(member875476972on_val(produc1611380469on_val(X_1,Z_1),transi374442731on_val(R))) -> (X_1 != Z_1 -> -(all Y_2 (hBOOL(member875476972on_val(produc1611380469on_val(X_1,Y_2),R)) -> -hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z_1),transi374442731on_val(R)))))))) # label(fact_309_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 350 (all X_1 all Z_1 all R (hBOOL(member773094996on_val(produc1441475159on_val(X_1,Z_1),transi2024712006on_val(R))) -> (X_1 != Z_1 -> -(all Y_2 (hBOOL(member773094996on_val(produc1441475159on_val(X_1,Y_2),R)) -> -hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z_1),transi2024712006on_val(R)))))))) # label(fact_310_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 351 (all Pa all A all B all R (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R))) -> (hBOOL(hAPP_val_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z),R)) -> (hBOOL(member649088532al_val(product_Pair_val_val(Z,B),transi935034983cl_val(R))) -> (hBOOL(hAPP_val_bool(Pa,Z)) -> hBOOL(hAPP_val_bool(Pa,Y_2)))))) -> hBOOL(hAPP_val_bool(Pa,A)))))) # label(fact_311_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 352 (all Pa all A all B all R (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R))) -> (hBOOL(hAPP_list_char_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z),R)) -> (hBOOL(member1251428284t_char(produc5062597t_char(Z,B),transi1395422419t_char(R))) -> (hBOOL(hAPP_list_char_bool(Pa,Z)) -> hBOOL(hAPP_list_char_bool(Pa,Y_2)))))) -> hBOOL(hAPP_list_char_bool(Pa,A)))))) # label(fact_312_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 353 (all Pa all A all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z),R)) -> (hBOOL(member875476972on_val(produc1611380469on_val(Z,B),transi374442731on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(Pa,Z)) -> hBOOL(hAPP_P71593144l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,A)))))) # label(fact_313_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 354 (all Pa all A all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,B)) -> ((all Y_2 all Z (hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z),R)) -> (hBOOL(member773094996on_val(produc1441475159on_val(Z,B),transi2024712006on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Z)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Y_2)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,A)))))) # label(fact_314_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 355 (all Pa all A all B all R (hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R))) -> (hBOOL(hAPP_val_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member649088532al_val(product_Pair_val_val(A,Y_2),transi935034983cl_val(R))) -> (hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z),R)) -> (hBOOL(hAPP_val_bool(Pa,Y_2)) -> hBOOL(hAPP_val_bool(Pa,Z)))))) -> hBOOL(hAPP_val_bool(Pa,B)))))) # label(fact_315_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 356 (all Pa all A all B all R (hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R))) -> (hBOOL(hAPP_list_char_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member1251428284t_char(produc5062597t_char(A,Y_2),transi1395422419t_char(R))) -> (hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z),R)) -> (hBOOL(hAPP_list_char_bool(Pa,Y_2)) -> hBOOL(hAPP_list_char_bool(Pa,Z)))))) -> hBOOL(hAPP_list_char_bool(Pa,B)))))) # label(fact_316_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 357 (all Pa all A all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member875476972on_val(produc1611380469on_val(A,Y_2),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z),R)) -> (hBOOL(hAPP_P71593144l_bool(Pa,Y_2)) -> hBOOL(hAPP_P71593144l_bool(Pa,Z)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,B)))))) # label(fact_317_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 358 (all Pa all A all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,A)) -> ((all Y_2 all Z (hBOOL(member773094996on_val(produc1441475159on_val(A,Y_2),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z),R)) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Y_2)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,B)))))) # label(fact_318_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 359 (all E_1 all E_2 all E_a all S_2 all Ea all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fFalse)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_2),produc1259058957on_val(E_a,S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1,E_2),S_0),produc1259058957on_val(E_a,S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_319_CondReds2F) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 360 (all E_2 all E_1 all E_a all S_2 all Ea all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_1_2),produc1259058957on_val(E_a,S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1,E_2),S_0),produc1259058957on_val(E_a,S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_320_CondReds2T) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 361 (all E_1 all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1,E_2),S),produc1259058957on_val(E_1,S)),red(Pa)))) # label(fact_321_red__reds_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 362 (all E_1 all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1,E_2),S),produc1259058957on_val(E_2,S)),red(Pa)))) # label(fact_322_red__reds_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 363 (all C all Ea all S all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_323_CastRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 364 (all Ea all S_3 all C_2 all V_1_1 all S_2 all B all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(C_2,S_1_2),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_2),S_2),produc1259058957on_val(Ea,S_3)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_2),S_0),produc1259058957on_val(Ea,S_3)),transi2024712006on_val(red(Pa)))))))) # label(fact_324_WhileTReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 365 (all Bop all E_2 all Ea all S_2 all E_1 all S_0 all V_1_1 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_2),produc1259058957on_val(throw_list_char(Ea),S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(E_1,Bop,E_2),S_0),produc1259058957on_val(throw_list_char(Ea),S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_325_BinOpRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 366 (all F all D all E_2 all Ea all S_2 all E_1 all S_0 all V_1 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_2),produc1259058957on_val(throw_list_char(Ea),S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1,F,D,E_2),S_0),produc1259058957on_val(throw_list_char(Ea),S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_326_FAssRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 367 (all C all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),red(Pa)))) # label(fact_327_red__reds_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 368 (all F all D all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_328_FAccRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 369 (all Exp1_55 all Exp2_55 all Exp1_54 all Exp2_54 (while_list_char(Exp1_55,Exp2_55) = while_list_char(Exp1_54,Exp2_54) <-> Exp1_55 = Exp1_54 & Exp2_55 = Exp2_54)) # label(fact_329_exp_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 370 (all Exp_21 all Exp_20 (throw_list_char(Exp_21) = throw_list_char(Exp_20) <-> Exp_21 = Exp_20)) # label(fact_330_exp_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 371 (all Exp1_89 all Exp2_89 all Exp_103 while_list_char(Exp1_89,Exp2_89) != throw_list_char(Exp_103)) # label(fact_331_exp_Osimps_I220_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 372 (all Exp_102 all Exp1_88 all Exp2_88 throw_list_char(Exp_102) != while_list_char(Exp1_88,Exp2_88)) # label(fact_332_exp_Osimps_I221_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 373 (all Val_9 all Exp_101 hAPP_v834067052t_char(val_list_char,Val_9) != throw_list_char(Exp_101)) # label(fact_333_exp_Osimps_I90_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 374 (all Exp_100 all Val_8 throw_list_char(Exp_100) != hAPP_v834067052t_char(val_list_char,Val_8)) # label(fact_334_exp_Osimps_I91_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 375 (all Val_7 all Exp1_87 all Exp2_87 hAPP_v834067052t_char(val_list_char,Val_7) != while_list_char(Exp1_87,Exp2_87)) # label(fact_335_exp_Osimps_I88_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 376 (all Exp1_86 all Exp2_86 all Val_6 while_list_char(Exp1_86,Exp2_86) != hAPP_v834067052t_char(val_list_char,Val_6)) # label(fact_336_exp_Osimps_I89_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 377 (all Exp_99 all Exp_98 all List1_29 all List2_29 throw_list_char(Exp_99) != call_list_char(Exp_98,List1_29,List2_29)) # label(fact_337_exp_Osimps_I193_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 378 (all Exp_97 all Exp1_85 all List1_28 all List2_28 all Exp2_85 throw_list_char(Exp_97) != fAss_list_char(Exp1_85,List1_28,List2_28,Exp2_85)) # label(fact_338_exp_Osimps_I181_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 379 (all Exp_96 all List1_27 all List2_27 all Exp_95 call_list_char(Exp_96,List1_27,List2_27) != throw_list_char(Exp_95)) # label(fact_339_exp_Osimps_I192_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 380 (all Exp1_84 all List1_26 all List2_26 all Exp2_84 all Exp_94 fAss_list_char(Exp1_84,List1_26,List2_26,Exp2_84) != throw_list_char(Exp_94)) # label(fact_340_exp_Osimps_I180_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 381 (all Exp_93 all Exp1_83 all Bop_10 all Exp2_83 throw_list_char(Exp_93) != binOp_list_char(Exp1_83,Bop_10,Exp2_83)) # label(fact_341_exp_Osimps_I113_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 382 (all Exp1_82 all Bop_9 all Exp2_82 all Exp_92 binOp_list_char(Exp1_82,Bop_9,Exp2_82) != throw_list_char(Exp_92)) # label(fact_342_exp_Osimps_I112_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 383 (all Exp_91 all List_21 all Exp_90 throw_list_char(Exp_91) != cast_list_char(List_21,Exp_90)) # label(fact_343_exp_Osimps_I67_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 384 (all Exp_89 all Exp1_81 all Exp2_81 all Exp3_9 throw_list_char(Exp_89) != cond_list_char(Exp1_81,Exp2_81,Exp3_9)) # label(fact_344_exp_Osimps_I217_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 385 (all List_20 all Exp_88 all Exp_87 cast_list_char(List_20,Exp_88) != throw_list_char(Exp_87)) # label(fact_345_exp_Osimps_I66_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 386 (all Exp1_80 all Exp2_80 all Exp3_8 all Exp_86 cond_list_char(Exp1_80,Exp2_80,Exp3_8) != throw_list_char(Exp_86)) # label(fact_346_exp_Osimps_I216_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 387 (all Exp_85 all Exp_84 all List1_25 all List2_25 throw_list_char(Exp_85) != fAcc_list_char(Exp_84,List1_25,List2_25)) # label(fact_347_exp_Osimps_I167_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 388 (all Exp_83 all List1_24 all List2_24 all Exp_82 fAcc_list_char(Exp_83,List1_24,List2_24) != throw_list_char(Exp_82)) # label(fact_348_exp_Osimps_I166_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 389 (all Exp_81 all Exp1_79 all List_19 all A_61 all Exp2_79 throw_list_char(Exp_81) != tryCatch_list_char(Exp1_79,List_19,A_61,Exp2_79)) # label(fact_349_exp_Osimps_I224_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 390 (all Exp1_78 all List_18 all A_60 all Exp2_78 all Exp_80 tryCatch_list_char(Exp1_78,List_18,A_60,Exp2_78) != throw_list_char(Exp_80)) # label(fact_350_exp_Osimps_I225_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 391 (all Exp1_77 all Exp2_77 all Exp_79 all List1_23 all List2_23 while_list_char(Exp1_77,Exp2_77) != call_list_char(Exp_79,List1_23,List2_23)) # label(fact_351_exp_Osimps_I191_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 392 (all Exp1_76 all Exp2_76 all Exp1_75 all List1_22 all List2_22 all Exp2_75 while_list_char(Exp1_76,Exp2_76) != fAss_list_char(Exp1_75,List1_22,List2_22,Exp2_75)) # label(fact_352_exp_Osimps_I179_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.95 393 (all Exp_78 all List1_21 all List2_21 all Exp1_74 all Exp2_74 call_list_char(Exp_78,List1_21,List2_21) != while_list_char(Exp1_74,Exp2_74)) # label(fact_353_exp_Osimps_I190_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 394 (all Exp1_73 all List1_20 all List2_20 all Exp2_73 all Exp1_72 all Exp2_72 fAss_list_char(Exp1_73,List1_20,List2_20,Exp2_73) != while_list_char(Exp1_72,Exp2_72)) # label(fact_354_exp_Osimps_I178_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 395 (all Exp1_71 all Exp2_71 all Exp1_70 all Bop_8 all Exp2_70 while_list_char(Exp1_71,Exp2_71) != binOp_list_char(Exp1_70,Bop_8,Exp2_70)) # label(fact_355_exp_Osimps_I111_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 396 (all Exp1_69 all Bop_7 all Exp2_69 all Exp1_68 all Exp2_68 binOp_list_char(Exp1_69,Bop_7,Exp2_69) != while_list_char(Exp1_68,Exp2_68)) # label(fact_356_exp_Osimps_I110_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 397 (all List_17 all Exp_77 all Exp1_67 all Exp2_67 cast_list_char(List_17,Exp_77) != while_list_char(Exp1_67,Exp2_67)) # label(fact_357_exp_Osimps_I64_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 398 (all Exp1_66 all Exp2_66 all List_16 all Exp_76 while_list_char(Exp1_66,Exp2_66) != cast_list_char(List_16,Exp_76)) # label(fact_358_exp_Osimps_I65_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 399 (all Exp1_65 all Exp2_65 all Exp1_64 all Exp2_64 all Exp3_7 while_list_char(Exp1_65,Exp2_65) != cond_list_char(Exp1_64,Exp2_64,Exp3_7)) # label(fact_359_exp_Osimps_I215_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 400 (all Exp1_63 all Exp2_63 all Exp3_6 all Exp1_62 all Exp2_62 cond_list_char(Exp1_63,Exp2_63,Exp3_6) != while_list_char(Exp1_62,Exp2_62)) # label(fact_360_exp_Osimps_I214_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 401 (all Exp1_61 all Exp2_61 all Exp_75 all List1_19 all List2_19 while_list_char(Exp1_61,Exp2_61) != fAcc_list_char(Exp_75,List1_19,List2_19)) # label(fact_361_exp_Osimps_I165_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 402 (all Exp_74 all List1_18 all List2_18 all Exp1_60 all Exp2_60 fAcc_list_char(Exp_74,List1_18,List2_18) != while_list_char(Exp1_60,Exp2_60)) # label(fact_362_exp_Osimps_I164_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 403 (all Exp1_59 all Exp2_59 all Exp1_58 all List_15 all A_59 all Exp2_58 while_list_char(Exp1_59,Exp2_59) != tryCatch_list_char(Exp1_58,List_15,A_59,Exp2_58)) # label(fact_363_exp_Osimps_I222_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 404 (all Exp1_57 all List_14 all A_58 all Exp2_57 all Exp1_56 all Exp2_56 tryCatch_list_char(Exp1_57,List_14,A_58,Exp2_57) != while_list_char(Exp1_56,Exp2_56)) # label(fact_364_exp_Osimps_I223_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 405 (all C_2 all B all S all Ea all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S),produc1259058957on_val(throw_list_char(Ea),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_2),S),produc1259058957on_val(throw_list_char(Ea),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_365_WhileRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 406 (all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S),produc1259058957on_val(throw_list_char(E_a),S_1)),red(Pa))))) # label(fact_366_red__reds_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 407 (all Ea all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(throw_list_char(Ea)),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_367_red__reds_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 408 (all C_2 all Ea all S_2 all B all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(C_2,S_1_2),produc1259058957on_val(throw_list_char(Ea),S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_2),S_0),produc1259058957on_val(throw_list_char(Ea),S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_368_WhileTRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 409 (all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_369_ThrowRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 410 (all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S),produc1259058957on_val(throw_list_char(E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_370_ThrowReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 411 (all Ea all F all D all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(throw_list_char(Ea),F,D,E_2),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_371_red__reds_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 412 (all Ea all M_1 all Esa all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(throw_list_char(Ea),M_1,Esa),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_372_red__reds_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 413 (all Ea all Bop all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(throw_list_char(Ea),Bop,E_2),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_373_red__reds_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 414 (all Ea all E_1 all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(throw_list_char(Ea),E_1,E_2),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_374_red__reds_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 415 (all C all Ea all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,throw_list_char(Ea)),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_375_red__reds_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 416 (all Ea all F all D all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(throw_list_char(Ea),F,D),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_376_red__reds_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 417 (all V_1 all F all D all Ea all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,throw_list_char(Ea)),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_377_red__reds_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 418 (all V_1_1 all Bop all Ea all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,throw_list_char(Ea)),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_378_red__reds_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 419 (all F all D all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(E_a),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S),produc1259058957on_val(throw_list_char(E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_379_FAssRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 420 (all M_1 all Esa all Ea all S0 all A all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S0),produc1259058957on_val(throw_list_char(A),S_1_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M_1,Esa),S0),produc1259058957on_val(throw_list_char(A),S_1_2)),transi2024712006on_val(red(Pa)))))) # label(fact_380_CallRedsThrowObj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 421 (all Bop all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(E_a),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S),produc1259058957on_val(throw_list_char(E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_381_BinOpRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 422 (all E_1 all E_2 all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1,E_2),S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_382_CondRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 423 (all C all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_383_CastRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 424 (all C_2 all B all S all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fFalse)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_2),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_384_WhileFReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 425 (all Bool_1 bool(Bool_1) != null) # label(fact_385_val_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 426 (all Bool_1 null != bool(Bool_1)) # label(fact_386_val_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 427 (all T all Pa all Ha all E all Ea all T_r_1 (hBOOL(wTrt(Pa,Ha,E,Ea,T_r_1)) -> (hBOOL(is_refT(T_r_1)) -> hBOOL(wTrt(Pa,Ha,E,throw_list_char(Ea),T))))) # label(fact_387_WTrtThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 428 (all M_1 all Esa all Vs_1_1 all A all Es_2 all S_2 all Ea all S0 all V_1 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_2),produc379668296on_val(append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2)),S_2)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M_1,Esa),S0),produc1259058957on_val(throw_list_char(A),S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_388_CallRedsThrowParams) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 429 (all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(E_a),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S),produc1259058957on_val(throw_list_char(E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_389_SeqRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 430 (all E_2 all T_2_1 all Pa all Ha all E all E_1 all T_1_1 (hBOOL(wTrt(Pa,Ha,E,E_1,T_1_1)) -> (hBOOL(wTrt(Pa,Ha,E,E_2,T_2_1)) -> hBOOL(wTrt(Pa,Ha,E,seq_list_char(E_1,E_2),T_2_1))))) # label(fact_390_WTrtSeq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 431 (all Bool_1 unit != bool(Bool_1)) # label(fact_393_val_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 432 (all Bool_1 bool(Bool_1) != unit) # label(fact_394_val_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 433 (all Exp1_55 all Exp2_55 all Exp1_54 all Exp2_54 (seq_list_char(Exp1_55,Exp2_55) = seq_list_char(Exp1_54,Exp2_54) <-> Exp1_55 = Exp1_54 & Exp2_55 = Exp2_54)) # label(fact_395_exp_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 434 (all Exp1_53 all Exp2_53 all Val_5 seq_list_char(Exp1_53,Exp2_53) != hAPP_v834067052t_char(val_list_char,Val_5)) # label(fact_396_exp_Osimps_I85_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 435 (all Val_4 all Exp1_52 all Exp2_52 hAPP_v834067052t_char(val_list_char,Val_4) != seq_list_char(Exp1_52,Exp2_52)) # label(fact_397_exp_Osimps_I84_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 436 (all Exp_73 all Exp1_51 all Exp2_51 throw_list_char(Exp_73) != seq_list_char(Exp1_51,Exp2_51)) # label(fact_398_exp_Osimps_I211_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 437 (all Exp1_50 all Exp2_50 all Exp_72 seq_list_char(Exp1_50,Exp2_50) != throw_list_char(Exp_72)) # label(fact_399_exp_Osimps_I210_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 438 (all Exp1_49 all List1_17 all List2_17 all Exp2_49 all Exp1_48 all Exp2_48 fAss_list_char(Exp1_49,List1_17,List2_17,Exp2_49) != seq_list_char(Exp1_48,Exp2_48)) # label(fact_400_exp_Osimps_I174_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 439 (all Exp_71 all List1_16 all List2_16 all Exp1_47 all Exp2_47 call_list_char(Exp_71,List1_16,List2_16) != seq_list_char(Exp1_47,Exp2_47)) # label(fact_401_exp_Osimps_I186_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 440 (all Exp1_46 all Exp2_46 all Exp1_45 all List1_15 all List2_15 all Exp2_45 seq_list_char(Exp1_46,Exp2_46) != fAss_list_char(Exp1_45,List1_15,List2_15,Exp2_45)) # label(fact_402_exp_Osimps_I175_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 441 (all Exp1_44 all Exp2_44 all Exp_70 all List1_14 all List2_14 seq_list_char(Exp1_44,Exp2_44) != call_list_char(Exp_70,List1_14,List2_14)) # label(fact_403_exp_Osimps_I187_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 442 (all Exp1_43 all Bop_6 all Exp2_43 all Exp1_42 all Exp2_42 binOp_list_char(Exp1_43,Bop_6,Exp2_43) != seq_list_char(Exp1_42,Exp2_42)) # label(fact_404_exp_Osimps_I106_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 443 (all Exp1_41 all Exp2_41 all Exp1_40 all Bop_5 all Exp2_40 seq_list_char(Exp1_41,Exp2_41) != binOp_list_char(Exp1_40,Bop_5,Exp2_40)) # label(fact_405_exp_Osimps_I107_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 444 (all Exp1_39 all Exp2_39 all Exp3_5 all Exp1_38 all Exp2_38 cond_list_char(Exp1_39,Exp2_39,Exp3_5) != seq_list_char(Exp1_38,Exp2_38)) # label(fact_406_exp_Osimps_I207_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 445 (all Exp1_37 all Exp2_37 all Exp1_36 all Exp2_36 all Exp3_4 seq_list_char(Exp1_37,Exp2_37) != cond_list_char(Exp1_36,Exp2_36,Exp3_4)) # label(fact_407_exp_Osimps_I206_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 446 (all List_13 all Exp_69 all Exp1_35 all Exp2_35 cast_list_char(List_13,Exp_69) != seq_list_char(Exp1_35,Exp2_35)) # label(fact_408_exp_Osimps_I60_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 447 (all Exp1_34 all Exp2_34 all List_12 all Exp_68 seq_list_char(Exp1_34,Exp2_34) != cast_list_char(List_12,Exp_68)) # label(fact_409_exp_Osimps_I61_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 448 (all Exp_67 all List1_13 all List2_13 all Exp1_33 all Exp2_33 fAcc_list_char(Exp_67,List1_13,List2_13) != seq_list_char(Exp1_33,Exp2_33)) # label(fact_410_exp_Osimps_I160_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 449 (all Exp1_32 all Exp2_32 all Exp_66 all List1_12 all List2_12 seq_list_char(Exp1_32,Exp2_32) != fAcc_list_char(Exp_66,List1_12,List2_12)) # label(fact_411_exp_Osimps_I161_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 450 (all Exp1_31 all List_11 all A_57 all Exp2_31 all Exp1_30 all Exp2_30 tryCatch_list_char(Exp1_31,List_11,A_57,Exp2_31) != seq_list_char(Exp1_30,Exp2_30)) # label(fact_412_exp_Osimps_I213_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 451 (all Exp1_29 all Exp2_29 all Exp1_28 all List_10 all A_56 all Exp2_28 seq_list_char(Exp1_29,Exp2_29) != tryCatch_list_char(Exp1_28,List_10,A_56,Exp2_28)) # label(fact_413_exp_Osimps_I212_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 452 (all Exp1_27 all Exp2_27 all Exp1_26 all Exp2_26 seq_list_char(Exp1_27,Exp2_27) != while_list_char(Exp1_26,Exp2_26)) # label(fact_414_exp_Osimps_I208_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 453 (all Exp1_25 all Exp2_25 all Exp1_24 all Exp2_24 while_list_char(Exp1_25,Exp2_25) != seq_list_char(Exp1_24,Exp2_24)) # label(fact_415_exp_Osimps_I209_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 454 (all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S),produc1259058957on_val(seq_list_char(E_a,E_2),S_1)),red(Pa))))) # label(fact_416_red__reds_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 455 (all V_1 all M_1 all S all Pa all Esa all Vs_2 all Ea all Es_a (Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(Ea),Es_a)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Esa),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa))))) # label(fact_417_red__reds_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 456 (all B all C_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_2),S),produc1259058957on_val(cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit)),S)),red(Pa)))) # label(fact_418_red__reds_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 457 (all Bool all Bool_1 (bool(Bool) = bool(Bool_1) <-> (hBOOL(Bool) <-> hBOOL(Bool_1)))) # label(fact_419_val_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 458 (all V_1 all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S),produc1259058957on_val(E_2,S)),red(Pa)))) # label(fact_420_red__reds_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 459 (all Ea all E_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(throw_list_char(Ea),E_2),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_421_red__reds_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 460 (all E_2 all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S),produc1259058957on_val(seq_list_char(E_a,E_2),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_422_SeqReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 461 (all E_2 all E_2_1 all S_2 all E_1 all S_0 all V_1_1 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_2),produc1259058957on_val(E_2_1,S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(E_1,E_2),S_0),produc1259058957on_val(E_2_1,S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_423_SeqReds2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 462 (all Pa all Ha all E all Ea all T (hBOOL(wTrt(Pa,Ha,E,throw_list_char(Ea),T)) -> -(all T_r (hBOOL(wTrt(Pa,Ha,E,Ea,T_r)) -> -hBOOL(is_refT(T_r)))))) # label(fact_424_WTrt__elim__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 463 (all F_1 all Xs all Ys map_va1934808527t_char(F_1,append_val(Xs,Ys)) = append_exp_list_char(map_va1934808527t_char(F_1,Xs),map_va1934808527t_char(F_1,Ys))) # label(fact_425_map__append) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 464 (all X_6 all Xs_6 all Ys_4 append_exp_list_char(cons_exp_list_char(X_6,Xs_6),Ys_4) = cons_exp_list_char(X_6,append_exp_list_char(Xs_6,Ys_4))) # label(fact_426_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 465 (all X_6 all Xs_6 all Ys_4 append_val(cons_val(X_6,Xs_6),Ys_4) = cons_val(X_6,append_val(Xs_6,Ys_4))) # label(fact_427_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 466 (all X_6 all Xs_6 all Ys_4 append_ty(cons_ty(X_6,Xs_6),Ys_4) = cons_ty(X_6,append_ty(Xs_6,Ys_4))) # label(fact_428_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 467 (all X_6 all Xs_6 all Ys_4 append_list_char(cons_list_char(X_6,Xs_6),Ys_4) = cons_list_char(X_6,append_list_char(Xs_6,Ys_4))) # label(fact_429_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 468 (all Xs_5 all Zs_4 all X_5 all Xs1_1 all Ys_3 (cons_exp_list_char(X_5,Xs1_1) = Ys_3 -> (Xs_5 = append_exp_list_char(Xs1_1,Zs_4) -> cons_exp_list_char(X_5,Xs_5) = append_exp_list_char(Ys_3,Zs_4)))) # label(fact_430_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 469 (all Xs_5 all Zs_4 all X_5 all Xs1_1 all Ys_3 (cons_val(X_5,Xs1_1) = Ys_3 -> (Xs_5 = append_val(Xs1_1,Zs_4) -> cons_val(X_5,Xs_5) = append_val(Ys_3,Zs_4)))) # label(fact_431_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 470 (all Xs_5 all Zs_4 all X_5 all Xs1_1 all Ys_3 (cons_ty(X_5,Xs1_1) = Ys_3 -> (Xs_5 = append_ty(Xs1_1,Zs_4) -> cons_ty(X_5,Xs_5) = append_ty(Ys_3,Zs_4)))) # label(fact_432_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 471 (all Xs_5 all Zs_4 all X_5 all Xs1_1 all Ys_3 (cons_list_char(X_5,Xs1_1) = Ys_3 -> (Xs_5 = append_list_char(Xs1_1,Zs_4) -> cons_list_char(X_5,Xs_5) = append_list_char(Ys_3,Zs_4)))) # label(fact_433_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 472 (all F_1 all X_1 all Xs map_va1934808527t_char(F_1,cons_val(X_1,Xs)) = cons_exp_list_char(hAPP_v834067052t_char(F_1,X_1),map_va1934808527t_char(F_1,Xs))) # label(fact_434_map_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 473 (all Xs_4 all X_4 Xs_4 != cons_val(X_4,Xs_4)) # label(fact_435_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 474 (all Xs_4 all X_4 Xs_4 != cons_ty(X_4,Xs_4)) # label(fact_436_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 475 (all Xs_4 all X_4 Xs_4 != cons_list_char(X_4,Xs_4)) # label(fact_437_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 476 (all Xs_4 all X_4 Xs_4 != cons_exp_list_char(X_4,Xs_4)) # label(fact_438_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 477 (all X_3 all Xs_3 cons_val(X_3,Xs_3) != Xs_3) # label(fact_439_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 478 (all X_3 all Xs_3 cons_ty(X_3,Xs_3) != Xs_3) # label(fact_440_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 479 (all X_3 all Xs_3 cons_list_char(X_3,Xs_3) != Xs_3) # label(fact_441_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 480 (all X_3 all Xs_3 cons_exp_list_char(X_3,Xs_3) != Xs_3) # label(fact_442_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 481 (all A all List_9 all A_19 all List_8 (cons_val(A,List_9) = cons_val(A_19,List_8) <-> A = A_19 & List_9 = List_8)) # label(fact_443_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 482 (all A all List_9 all A_19 all List_8 (cons_ty(A,List_9) = cons_ty(A_19,List_8) <-> A = A_19 & List_9 = List_8)) # label(fact_444_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 483 (all A all List_9 all A_19 all List_8 (cons_list_char(A,List_9) = cons_list_char(A_19,List_8) <-> A = A_19 & List_9 = List_8)) # label(fact_445_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 484 (all A all List_9 all A_19 all List_8 (cons_exp_list_char(A,List_9) = cons_exp_list_char(A_19,List_8) <-> A = A_19 & List_9 = List_8)) # label(fact_446_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 485 (all Xs_2 all Ys_2 all Zs_3 append_exp_list_char(append_exp_list_char(Xs_2,Ys_2),Zs_3) = append_exp_list_char(Xs_2,append_exp_list_char(Ys_2,Zs_3))) # label(fact_447_append__assoc) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 486 (all Xs all Ys all Zs_2 all Ts_2 (append_exp_list_char(Xs,Ys) = append_exp_list_char(Zs_2,Ts_2) <-> (exists Us_1 (Xs = append_exp_list_char(Zs_2,Us_1) & append_exp_list_char(Us_1,Ys) = Ts_2 | append_exp_list_char(Xs,Us_1) = Zs_2 & Ys = append_exp_list_char(Us_1,Ts_2))))) # label(fact_448_append__eq__append__conv2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 487 (all Xs all Ys all Zs_2 (append_exp_list_char(Xs,Ys) = append_exp_list_char(Xs,Zs_2) <-> Ys = Zs_2)) # label(fact_449_same__append__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 488 (all Ys all Xs all Zs_2 (append_exp_list_char(Ys,Xs) = append_exp_list_char(Zs_2,Xs) <-> Ys = Zs_2)) # label(fact_450_append__same__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 489 (all Ys_1 all Us all Xs_1 all Xs1 all Zs_1 (append_exp_list_char(Xs_1,Xs1) = Zs_1 -> (Ys_1 = append_exp_list_char(Xs1,Us) -> append_exp_list_char(Xs_1,Ys_1) = append_exp_list_char(Zs_1,Us)))) # label(fact_451_append__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 490 (all F_1 all Xs all Y_1 all Ys (map_va1934808527t_char(F_1,Xs) = cons_exp_list_char(Y_1,Ys) <-> (exists Z exists Zs (Xs = cons_val(Z,Zs) & hAPP_v834067052t_char(F_1,Z) = Y_1 & map_va1934808527t_char(F_1,Zs) = Ys)))) # label(fact_452_map__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 491 (all X_1 all Xs all F_1 all Ys (cons_exp_list_char(X_1,Xs) = map_va1934808527t_char(F_1,Ys) <-> (exists Z exists Zs (Ys = cons_val(Z,Zs) & X_1 = hAPP_v834067052t_char(F_1,Z) & Xs = map_va1934808527t_char(F_1,Zs))))) # label(fact_453_Cons__eq__map__conv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 492 (all Pa all V_1 all M_1 all S all Esa all Vs_2 all Ea all Es_a (Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(Ea),Es_a)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Esa),S),throw_list_char(Ea)),S)))) # label(fact_454_redp__redsp_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 493 (all Vs_2 all Esa (hBOOL(finals_list_char(append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),Esa))) <-> hBOOL(finals_list_char(Esa)))) # label(fact_455_finals__app__map) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 494 (all E_2 all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Ea,E_2),S),seq_list_char(E_a,E_2)),S_1)))) # label(fact_456_redp__redsp_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 495 (all F all D all E_2 all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Ea,F,D,E_2),S),fAss_list_char(E_a,F,D,E_2)),S_1)))) # label(fact_457_redp__redsp_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 496 (all M_1 all Esa all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Ea,M_1,Esa),S),call_list_char(E_a,M_1,Esa)),S_1)))) # label(fact_458_redp__redsp_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 497 (all Bop all E_2 all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Ea,Bop,E_2),S),binOp_list_char(E_a,Bop,E_2)),S_1)))) # label(fact_459_redp__redsp_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 498 (all E_1 all E_2 all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Ea,E_1,E_2),S),cond_list_char(E_a,E_1,E_2)),S_1)))) # label(fact_460_redp__redsp_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 499 (all C all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Ea),S),cast_list_char(C,E_a)),S_1)))) # label(fact_461_redp__redsp_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 500 (all F all D all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Ea,F,D),S),fAcc_list_char(E_a,F,D)),S_1)))) # label(fact_462_redp__redsp_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 501 (all C all V all E_2 all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Ea,C,V,E_2),S),tryCatch_list_char(E_a,C,V,E_2)),S_1)))) # label(fact_463_redp__redsp_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 502 (all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Ea),S),throw_list_char(E_a)),S_1)))) # label(fact_464_redp__redsp_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 503 (all Pa all Ea all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Ea)),S),throw_list_char(Ea)),S))) # label(fact_465_redp__redsp_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 504 (all Pa all V_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S),E_2),S))) # label(fact_466_redp__redsp_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 505 (all V_1 all F all D all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a)),S_1)))) # label(fact_467_redp__redsp_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 506 (all V_1_1 all Bop all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_a)),S_1)))) # label(fact_468_redp__redsp_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 507 (all Pa all Ea all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Ea),E_2),S),throw_list_char(Ea)),S))) # label(fact_469_redp__redsp_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 508 (all Pa all Ea all M_1 all Esa all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Ea),M_1,Esa),S),throw_list_char(Ea)),S))) # label(fact_470_redp__redsp_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 509 (all Pa all Ea all F all D all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Ea),F,D,E_2),S),throw_list_char(Ea)),S))) # label(fact_471_redp__redsp_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 510 (all Pa all Ea all Bop all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Ea),Bop,E_2),S),throw_list_char(Ea)),S))) # label(fact_472_redp__redsp_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 511 (all Pa all Ea all E_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Ea),E_1,E_2),S),throw_list_char(Ea)),S))) # label(fact_473_redp__redsp_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 512 (all Pa all C all Ea all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Ea)),S),throw_list_char(Ea)),S))) # label(fact_474_redp__redsp_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 513 (all Pa all V_1 all C all V all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_1),C,V,E_2),S),hAPP_v834067052t_char(val_list_char,V_1)),S))) # label(fact_475_redp__redsp_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 514 (all Pa all Ea all F all D all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Ea),F,D),S),throw_list_char(Ea)),S))) # label(fact_476_redp__redsp_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 515 (all Pa all V_1 all F all D all Ea all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,throw_list_char(Ea)),S),throw_list_char(Ea)),S))) # label(fact_477_redp__redsp_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 516 (all Pa all V_1_1 all Bop all Ea all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,throw_list_char(Ea)),S),throw_list_char(Ea)),S))) # label(fact_478_redp__redsp_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 517 (all Pa all C all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S),hAPP_v834067052t_char(val_list_char,null)),S))) # label(fact_479_redp__redsp_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 518 (all Pa all E_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1,E_2),S),E_1),S))) # label(fact_480_redp__redsp_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 519 (all Pa all E_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1,E_2),S),E_2),S))) # label(fact_481_redp__redsp_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 520 (all Pa all B all C_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_2),S),cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S))) # label(fact_482_redp__redsp_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 521 (all Es_1 all E_7 (-hBOOL(final_list_char(E_7)) -> -hBOOL(finals_list_char(cons_exp_list_char(E_7,Es_1))))) # label(fact_483_not__finals__ConsI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 522 (all V_1 all M_1 all Pa all Esa all S all Es_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Esa),S),call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M_1,Es_a)),S_1)))) # label(fact_484_redp__redsp_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 523 (all M_1 all Esa all Vs_2 all S_2 all Ea all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_2),produc379668296on_val(map_va1934808527t_char(val_list_char,Vs_2),S_2)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M_1,Esa),S_0),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_485_CallRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 524 (all Pa all B all C_2 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_a),S_1)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit)),S),E_a),S_1)))) # label(fact_486_unfold__while) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 525 (all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),E_a),S_1)) -> hBOOL(final_list_char(E_a)))) # label(fact_487_eval__final) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 526 (all Pa all S all Ea (hBOOL(final_list_char(Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),Ea),S)))) # label(fact_488_eval__finalId) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 527 (all Pa all V_1 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S),E_a),S_1)) -> -(E_a = hAPP_v834067052t_char(val_list_char,V_1) -> S_1 != S))) # label(fact_489_eval__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 528 (all Pa all V_1 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S),hAPP_v834067052t_char(val_list_char,V_1)),S))) # label(fact_490_Val) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 529 (all Ea (hBOOL(final_list_char(Ea)) <-> (exists V_4 Ea = hAPP_v834067052t_char(val_list_char,V_4)) | (exists A_1 Ea = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))) # label(fact_491_final__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 530 (all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_492_eval__evals_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 531 (all Pa all Ea all S_0 all A all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1_2)))) # label(fact_493_Throw) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 532 (all F all D all E_2 all V_1 all S_2 all Pa all E_1 all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_1)),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))))) # label(fact_494_FAssNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 533 (all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_2)))) # label(fact_495_ThrowNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 534 (all F all D all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_2)))) # label(fact_496_FAccNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 535 (all Nat null != addr(Nat)) # label(fact_497_val_Osimps_I16_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 536 (all Nat addr(Nat) != null) # label(fact_498_val_Osimps_I17_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 537 (all Nat_2 all Nat_1 (addr(Nat_2) = addr(Nat_1) <-> Nat_2 = Nat_1)) # label(fact_499_val_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 538 (all Nat_1 all Bool addr(Nat_1) != bool(Bool)) # label(fact_500_val_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 539 (all Bool all Nat_1 bool(Bool) != addr(Nat_1)) # label(fact_501_val_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 540 (all Nat addr(Nat) != unit) # label(fact_502_val_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 541 (all Nat unit != addr(Nat)) # label(fact_503_val_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 542 (all Pa all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_504_redp__redsp_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 543 (all Pa all F all D all V_1 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_505_redp__redsp_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 544 (all Pa all F all D all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_506_redp__redsp_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 545 (all E_1 all E_2 all S_2 all Pa all E_0 all S_0 all V_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_2),E_2),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),E_2),S_2))))) # label(fact_507_Seq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 546 (all E_1 all Pa all E_0 all S_0 all Ea all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Ea)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),throw_list_char(Ea)),S_1_2)))) # label(fact_508_eval__evals_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 547 (all F all D all E_2 all Pa all E_1 all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_509_eval__evals_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 548 (all M_1 all Ps all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M_1,Ps),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_510_CallObjThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 549 (all Bop all E_2 all Pa all E_1 all S_0 all Ea all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(Ea)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Ea)),S_1_2)))) # label(fact_511_eval__evals_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 550 (all E_1 all E_2 all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_512_eval__evals_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 551 (all C all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_513_eval__evals_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 552 (all C all V all E_2 all Pa all E_1 all S_0 all V_1_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_2)))) # label(fact_514_Try) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 553 (all F all D all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_515_eval__evals_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 554 (all C_2 all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_516_WhileCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 555 (all Pa all Ea all Ha all La all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a))) -> hBOOL(hext(Ha,H_a)))) # label(fact_517_eval__hext) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 556 (all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),red(Pa)))) # label(fact_518_red__reds_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 557 (all Pa all M_1 all Vs_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M_1,map_va1934808527t_char(val_list_char,Vs_2)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_519_redp__redsp_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 558 (all Ea all S all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_520_ThrowRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 559 (all F all D all V_1 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_1)),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),red(Pa)))) # label(fact_521_red__reds_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 560 (all F all D all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),red(Pa)))) # label(fact_522_red__reds_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 561 (all F all D all E_2 all E_a all S_2 all Pa all E_1 all S_0 all V_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(E_a)),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(E_a)),S_2))))) # label(fact_523_eval__evals_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 562 (all Bop all E_2 all Ea all S_2 all Pa all E_1 all S_0 all V_1_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(Ea)),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Ea)),S_2))))) # label(fact_524_eval__evals_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 563 (all F all D all E_2 all V_1 all S_2 all E_1 all S_0 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_2),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_2)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1,F,D,E_2),S_0),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_2)),transi2024712006on_val(red(Pa))))))) # label(fact_525_FAssRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 564 (all F all D all Ea all S all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_526_FAccRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 565 (all C all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)))) # label(fact_527_CastNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 566 (all E_2 all E_1 all E_a all S_2 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_2),E_a),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),E_a),S_2))))) # label(fact_528_CondT) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 567 (all E_1 all E_2 all E_a all S_2 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E_a),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),E_a),S_2))))) # label(fact_529_CondF) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 568 (all E_3_1 all S_3 all C_2 all V_1_1 all S_2 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_2),E_3_1),S_3)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),E_3_1),S_3)))))) # label(fact_530_WhileT) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 569 (all M_1 all Vs_2 all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,null),M_1,map_va1934808527t_char(val_list_char,Vs_2)),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),red(Pa)))) # label(fact_531_red__reds_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 570 (all C_2 all E_a all S_2 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_2),throw_list_char(E_a)),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),throw_list_char(E_a)),S_2))))) # label(fact_532_WhileBodyThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 571 (all C_2 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1_2)))) # label(fact_533_WhileF) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 572 (all V_1 all Pa all Esa all S all Es_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_1)))) # label(fact_534_redp__redsp_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 573 (all Esa all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Ea,Esa),S),cons_exp_list_char(E_a,Esa)),S_1)))) # label(fact_535_redp__redsp_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 574 (all Esa (hBOOL(finals_list_char(Esa)) <-> (exists Vs_3 Esa = map_va1934808527t_char(val_list_char,Vs_3)) | (exists Vs_3 exists A_1 exists Es Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_3),cons_exp_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))),Es))))) # label(fact_536_finals__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 575 (all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S),E_a),S_1)) -> ((all A_1 (E_a = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1)))) -> ((E_a = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,null)),S_1))) -> -(all E_4 (E_a = throw_list_char(E_4) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),throw_list_char(E_4)),S_1)))))))) # label(fact_537_eval__cases_I12_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 576 (all M_1 all Ps all Vs_2 all S_2 all Pa all Ea all S_0 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_2),map_va1934808527t_char(val_list_char,Vs_2)),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M_1,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))))) # label(fact_538_CallNull) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 577 (all Pa all S all Esa (hBOOL(finals_list_char(Esa)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Esa),S)))) # label(fact_539_eval__finalsId) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 578 (all Pa all Esa all S all Es_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_1)) -> hBOOL(finals_list_char(Es_a)))) # label(fact_540_evals__final) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 579 (all Pa all Esa all Ha all La all Es_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,produc899768717on_val(Ha,La)),Es_a),produc899768717on_val(H_a,L_a))) -> hBOOL(hext(Ha,H_a)))) # label(fact_541_evals__hext) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 580 (all Esa all Es_a all S_2 all Pa all Ea all S_0 all V_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_2),Es_a),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2))))) # label(fact_542_eval__evals_OCons) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 581 (all Esa all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_0),cons_exp_list_char(throw_list_char(E_a),Esa)),S_1_2)))) # label(fact_543_ConsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 582 (all Vs_2 all Es_a all Pa all X_1 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_1),S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(X_1),Es_a)),S),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(E_a,Es_a))),S_1)))) # label(fact_544_list__eval__Throw) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 583 (all M_1 all Esa all Vs_2 all Ex all Es_a all S_2 all Pa all Ea all S_0 all V_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_2),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M_1,Esa),S_0),throw_list_char(Ex)),S_2))))) # label(fact_545_CallParamsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 584 (all Pa all Ea all Esa all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S),E_a),S_1)) -> ((all V_4 all S_1_1 all Es (E_a = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_4),Es) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,V_4)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es),S_1))))) -> -(all E_4 (E_a = cons_exp_list_char(throw_list_char(E_4),Esa) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),throw_list_char(E_4)),S_1))))))) # label(fact_546_evals__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 585 (all E_6 (hBOOL(final_list_char(E_6)) -> ((all V_4 E_6 != hAPP_v834067052t_char(val_list_char,V_4)) -> -(all A_1 E_6 != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))))))) # label(fact_547_finalE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 586 (all Pa all B all C_2 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_a),S_1)) -> ((E_a = hAPP_v834067052t_char(val_list_char,unit) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> (all V_1_3 all S_2_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_3)),S_2_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_2_1),E_a),S_1)))))) -> ((all E_4 (E_a = throw_list_char(E_4) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),throw_list_char(E_4)),S_1)))) -> -(all S_1_1 all E_4 (E_a = throw_list_char(E_4) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),throw_list_char(E_4)),S_1)))))))))) # label(fact_548_eval__cases_I11_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 587 (all Pa all E_1 all E_2 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1,E_2),S),E_a),S_1)) -> ((all V_4 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_4)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_a),S_1)))) -> -(all E_3 (E_a = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),throw_list_char(E_3)),S_1))))))) # label(fact_549_eval__cases_I9_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 588 (all Pa all Ea all E_1 all E_2 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S),E_a),S_1)) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_1),E_a),S_1)))) -> ((all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_a),S_1)))) -> -(all E_4 (E_a = throw_list_char(E_4) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),throw_list_char(E_4)),S_1)))))))) # label(fact_550_eval__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 589 (all V all T all A all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S)),red(Pa)))) # label(fact_551_red__reds_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 590 (all List_7 all Exp_65 all A_55 all Ty_25 all Exp_64 cast_list_char(List_7,Exp_65) != block_list_char(A_55,Ty_25,Exp_64)) # label(fact_552_exp_Osimps_I58_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 591 (all A_54 all Ty_24 all Exp_63 all List_6 all Exp_62 block_list_char(A_54,Ty_24,Exp_63) != cast_list_char(List_6,Exp_62)) # label(fact_553_exp_Osimps_I59_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 592 (all Exp1_23 all Exp2_23 all Exp3_3 all A_53 all Ty_23 all Exp_61 cond_list_char(Exp1_23,Exp2_23,Exp3_3) != block_list_char(A_53,Ty_23,Exp_61)) # label(fact_554_exp_Osimps_I199_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 593 (all A_52 all Ty_22 all Exp_60 all Exp1_22 all Exp2_22 all Exp3_2 block_list_char(A_52,Ty_22,Exp_60) != cond_list_char(Exp1_22,Exp2_22,Exp3_2)) # label(fact_555_exp_Osimps_I198_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 594 (all Exp_59 all List1_11 all List2_11 all A_51 all Ty_21 all Exp_58 fAcc_list_char(Exp_59,List1_11,List2_11) != block_list_char(A_51,Ty_21,Exp_58)) # label(fact_556_exp_Osimps_I158_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 595 (all A_50 all Ty_20 all Exp_57 all Exp_56 all List1_10 all List2_10 block_list_char(A_50,Ty_20,Exp_57) != fAcc_list_char(Exp_56,List1_10,List2_10)) # label(fact_557_exp_Osimps_I159_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 596 (all A_49 all Ty_19 all Exp_55 all Exp1_21 all Exp2_21 block_list_char(A_49,Ty_19,Exp_55) != while_list_char(Exp1_21,Exp2_21)) # label(fact_558_exp_Osimps_I200_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 597 (all Exp1_20 all Exp2_20 all A_48 all Ty_18 all Exp_54 while_list_char(Exp1_20,Exp2_20) != block_list_char(A_48,Ty_18,Exp_54)) # label(fact_559_exp_Osimps_I201_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 598 (all A_47 all Ty_17 all Exp_53 all Exp1_19 all List_5 all A_46 all Exp2_19 block_list_char(A_47,Ty_17,Exp_53) != tryCatch_list_char(Exp1_19,List_5,A_46,Exp2_19)) # label(fact_560_exp_Osimps_I204_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 599 (all Exp1_18 all List_4 all A_45 all Exp2_18 all A_44 all Ty_16 all Exp_52 tryCatch_list_char(Exp1_18,List_4,A_45,Exp2_18) != block_list_char(A_44,Ty_16,Exp_52)) # label(fact_561_exp_Osimps_I205_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 600 (all Val_3 all A_43 all Ty_15 all Exp_51 hAPP_v834067052t_char(val_list_char,Val_3) != block_list_char(A_43,Ty_15,Exp_51)) # label(fact_562_exp_Osimps_I82_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 601 (all A_42 all Ty_14 all Exp_50 all Val_2 block_list_char(A_42,Ty_14,Exp_50) != hAPP_v834067052t_char(val_list_char,Val_2)) # label(fact_563_exp_Osimps_I83_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 602 (all A_41 all Ty_13 all Exp_49 all Exp_48 block_list_char(A_41,Ty_13,Exp_49) != throw_list_char(Exp_48)) # label(fact_564_exp_Osimps_I202_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 603 (all Exp_47 all A_40 all Ty_12 all Exp_46 throw_list_char(Exp_47) != block_list_char(A_40,Ty_12,Exp_46)) # label(fact_565_exp_Osimps_I203_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 604 (all A all Ty_11 all Exp_21 all A_19 all Ty_10 all Exp_20 (block_list_char(A,Ty_11,Exp_21) = block_list_char(A_19,Ty_10,Exp_20) <-> A = A_19 & Ty_11 = Ty_10 & Exp_21 = Exp_20)) # label(fact_566_exp_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 605 (all Exp1_17 all Bop_4 all Exp2_17 all A_39 all Ty_9 all Exp_45 binOp_list_char(Exp1_17,Bop_4,Exp2_17) != block_list_char(A_39,Ty_9,Exp_45)) # label(fact_567_exp_Osimps_I104_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 606 (all A_38 all Ty_8 all Exp_44 all Exp1_16 all Bop_3 all Exp2_16 block_list_char(A_38,Ty_8,Exp_44) != binOp_list_char(Exp1_16,Bop_3,Exp2_16)) # label(fact_568_exp_Osimps_I105_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 607 (all Exp_43 all List1_9 all List2_9 all A_37 all Ty_7 all Exp_42 call_list_char(Exp_43,List1_9,List2_9) != block_list_char(A_37,Ty_7,Exp_42)) # label(fact_569_exp_Osimps_I184_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 608 (all A_36 all Ty_6 all Exp_41 all Exp_40 all List1_8 all List2_8 block_list_char(A_36,Ty_6,Exp_41) != call_list_char(Exp_40,List1_8,List2_8)) # label(fact_570_exp_Osimps_I185_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 609 (all A_35 all Ty_5 all Exp_39 all Exp1_15 all List1_7 all List2_7 all Exp2_15 block_list_char(A_35,Ty_5,Exp_39) != fAss_list_char(Exp1_15,List1_7,List2_7,Exp2_15)) # label(fact_571_exp_Osimps_I173_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 610 (all Exp1_14 all List1_6 all List2_6 all Exp2_14 all A_34 all Ty_4 all Exp_38 fAss_list_char(Exp1_14,List1_6,List2_6,Exp2_14) != block_list_char(A_34,Ty_4,Exp_38)) # label(fact_572_exp_Osimps_I172_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 611 (all A_33 all Ty_3 all Exp_37 all Exp1_13 all Exp2_13 block_list_char(A_33,Ty_3,Exp_37) != seq_list_char(Exp1_13,Exp2_13)) # label(fact_573_exp_Osimps_I196_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 612 (all Exp1_12 all Exp2_12 all A_32 all Ty_2 all Exp_36 seq_list_char(Exp1_12,Exp2_12) != block_list_char(A_32,Ty_2,Exp_36)) # label(fact_574_exp_Osimps_I197_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 613 (all Pa all V all T all U all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S))) # label(fact_575_redp__redsp_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 614 (all V all T all U all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,hAPP_v834067052t_char(val_list_char,U)),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,U),S)),red(Pa)))) # label(fact_576_red__reds_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 615 (all Pa all V all T all A all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))) # label(fact_577_redp__redsp_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 616 (all V all T all V_1 all A all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S)),red(Pa)))) # label(fact_578_red__reds_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 617 (all Pa all V all T all V_1 all A all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))) # label(fact_579_redp__redsp_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 618 (all V all T all V_1 all U all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,U),S)),red(Pa)))) # label(fact_580_red__reds_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 619 (all A_31 all Exp_35 all A_30 all Ty_1 all Exp_34 lAss_list_char(A_31,Exp_35) != block_list_char(A_30,Ty_1,Exp_34)) # label(fact_581_exp_Osimps_I142_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 620 (all A_29 all Ty all Exp_33 all A_28 all Exp_32 block_list_char(A_29,Ty,Exp_33) != lAss_list_char(A_28,Exp_32)) # label(fact_582_exp_Osimps_I143_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 621 (all V all Pa all Ea all S_0 all E_a all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_2)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),throw_list_char(E_a)),S_1_2)))) # label(fact_583_eval__evals_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.96 622 (all V all Pa all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,Ea),S),lAss_list_char(V,E_a)),S_1)))) # label(fact_584_redp__redsp_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 623 (all Exp1_11 all Exp2_11 all A_27 all Exp_31 seq_list_char(Exp1_11,Exp2_11) != lAss_list_char(A_27,Exp_31)) # label(fact_585_exp_Osimps_I145_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 624 (all A_26 all Exp_30 all Exp1_10 all Exp2_10 lAss_list_char(A_26,Exp_30) != seq_list_char(Exp1_10,Exp2_10)) # label(fact_586_exp_Osimps_I144_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 625 (all Exp1_9 all List1_5 all List2_5 all Exp2_9 all A_25 all Exp_29 fAss_list_char(Exp1_9,List1_5,List2_5,Exp2_9) != lAss_list_char(A_25,Exp_29)) # label(fact_587_exp_Osimps_I139_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 626 (all Exp_28 all List1_4 all List2_4 all A_24 all Exp_27 call_list_char(Exp_28,List1_4,List2_4) != lAss_list_char(A_24,Exp_27)) # label(fact_588_exp_Osimps_I141_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 627 (all A_23 all Exp_26 all Exp1_8 all List1_3 all List2_3 all Exp2_8 lAss_list_char(A_23,Exp_26) != fAss_list_char(Exp1_8,List1_3,List2_3,Exp2_8)) # label(fact_589_exp_Osimps_I138_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 628 (all A_22 all Exp_25 all Exp_24 all List1_2 all List2_2 lAss_list_char(A_22,Exp_25) != call_list_char(Exp_24,List1_2,List2_2)) # label(fact_590_exp_Osimps_I140_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 629 (all Exp1_7 all Bop_2 all Exp2_7 all A_21 all Exp_23 binOp_list_char(Exp1_7,Bop_2,Exp2_7) != lAss_list_char(A_21,Exp_23)) # label(fact_591_exp_Osimps_I96_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 630 (all A_20 all Exp_22 all Exp1_6 all Bop_1 all Exp2_6 lAss_list_char(A_20,Exp_22) != binOp_list_char(Exp1_6,Bop_1,Exp2_6)) # label(fact_592_exp_Osimps_I97_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 631 (all A all Exp_21 all A_19 all Exp_20 (lAss_list_char(A,Exp_21) = lAss_list_char(A_19,Exp_20) <-> A = A_19 & Exp_21 = Exp_20)) # label(fact_593_exp_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 632 (all Exp_19 all A_18 all Exp_18 throw_list_char(Exp_19) != lAss_list_char(A_18,Exp_18)) # label(fact_594_exp_Osimps_I151_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 633 (all A_17 all Exp_17 all Exp_16 lAss_list_char(A_17,Exp_17) != throw_list_char(Exp_16)) # label(fact_595_exp_Osimps_I150_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 634 (all A_16 all Exp_15 all Val_1 lAss_list_char(A_16,Exp_15) != hAPP_v834067052t_char(val_list_char,Val_1)) # label(fact_596_exp_Osimps_I75_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 635 (all Val all A_15 all Exp_14 hAPP_v834067052t_char(val_list_char,Val) != lAss_list_char(A_15,Exp_14)) # label(fact_597_exp_Osimps_I74_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 636 (all Exp1_5 all List_3 all A_14 all Exp2_5 all A_13 all Exp_13 tryCatch_list_char(Exp1_5,List_3,A_14,Exp2_5) != lAss_list_char(A_13,Exp_13)) # label(fact_598_exp_Osimps_I153_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 637 (all A_12 all Exp_12 all Exp1_4 all List_2 all A_11 all Exp2_4 lAss_list_char(A_12,Exp_12) != tryCatch_list_char(Exp1_4,List_2,A_11,Exp2_4)) # label(fact_599_exp_Osimps_I152_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 638 (all A_10 all Exp_11 all Exp1_3 all Exp2_3 lAss_list_char(A_10,Exp_11) != while_list_char(Exp1_3,Exp2_3)) # label(fact_600_exp_Osimps_I148_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 639 (all Exp1_2 all Exp2_2 all A_9 all Exp_10 while_list_char(Exp1_2,Exp2_2) != lAss_list_char(A_9,Exp_10)) # label(fact_601_exp_Osimps_I149_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 640 (all Exp_9 all List1_1 all List2_1 all A_8 all Exp_8 fAcc_list_char(Exp_9,List1_1,List2_1) != lAss_list_char(A_8,Exp_8)) # label(fact_602_exp_Osimps_I137_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 641 (all A_7 all Exp_7 all Exp_6 all List1 all List2 lAss_list_char(A_7,Exp_7) != fAcc_list_char(Exp_6,List1,List2)) # label(fact_603_exp_Osimps_I136_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 642 (all Exp1_1 all Exp2_1 all Exp3_1 all A_6 all Exp_5 cond_list_char(Exp1_1,Exp2_1,Exp3_1) != lAss_list_char(A_6,Exp_5)) # label(fact_604_exp_Osimps_I147_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 643 (all A_5 all Exp_4 all Exp1 all Exp2 all Exp3 lAss_list_char(A_5,Exp_4) != cond_list_char(Exp1,Exp2,Exp3)) # label(fact_605_exp_Osimps_I146_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 644 (all A_4 all Exp_3 all List_1 all Exp_2 lAss_list_char(A_4,Exp_3) != cast_list_char(List_1,Exp_2)) # label(fact_606_exp_Osimps_I51_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 645 (all List all Exp_1 all A_3 all Exp cast_list_char(List,Exp_1) != lAss_list_char(A_3,Exp)) # label(fact_607_exp_Osimps_I50_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 646 (all Pa all V all Ea all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,throw_list_char(Ea)),S),throw_list_char(Ea)),S))) # label(fact_608_redp__redsp_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 647 (all V all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S),produc1259058957on_val(lAss_list_char(V,E_a),S_1)),red(Pa))))) # label(fact_609_red__reds_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 648 (all V all Ea all S all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,throw_list_char(Ea)),S),produc1259058957on_val(throw_list_char(Ea),S)),red(Pa)))) # label(fact_610_red__reds_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 649 (all V all Ea all S all E_a all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(E_a,S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S),produc1259058957on_val(lAss_list_char(V,E_a),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_611_LAssReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 650 (all Pa all V all T all V_1 all U all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S),hAPP_v834067052t_char(val_list_char,U)),S))) # label(fact_612_redp__redsp_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 651 (all V all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S),produc1259058957on_val(throw_list_char(A),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_613_LAssRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 652 (all V_6 all Vs_1 all T_3 all Ts_1 all V_3 all Vs all E_5 blocks(produc921874948t_char(cons_list_char(V_6,Vs_1),produc1909267824t_char(cons_ty(T_3,Ts_1),produc1916172923t_char(cons_val(V_3,Vs),E_5)))) = block_list_char(V_6,T_3,seq_list_char(lAss_list_char(V_6,hAPP_v834067052t_char(val_list_char,V_3)),blocks(produc921874948t_char(Vs_1,produc1909267824t_char(Ts_1,produc1916172923t_char(Vs,E_5))))))) # label(fact_614_blocks_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 653 (all A_2 the_Addr(addr(A_2)) = A_2) # label(fact_615_the__Addr_Osimps) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 654 (all Esa all Ts all Pa all Ha all E all Ea all T (hBOOL(wTrt(Pa,Ha,E,Ea,T)) -> (hBOOL(wTrts(Pa,Ha,E,Esa,Ts)) -> hBOOL(wTrts(Pa,Ha,E,cons_exp_list_char(Ea,Esa),cons_ty(T,Ts)))))) # label(fact_616_WTrtCons) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 655 (all H_a all Pa all Ha all E all Esa all Ts (hBOOL(wTrts(Pa,Ha,E,Esa,Ts)) -> (hBOOL(hext(Ha,H_a)) -> hBOOL(wTrts(Pa,H_a,E,Esa,Ts))))) # label(fact_617_WTrts__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 656 (all T all Ea all Ha all La all V all V_1 all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,some_val(V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_a)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),transi2024712006on_val(red(Pa))))))) # label(fact_618_InitBlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 657 (all V all Ea (hBOOL(assigned(V,Ea)) <-> (exists V_4 exists E_4 Ea = seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_4)),E_4)))) # label(fact_619_assigned__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 658 (all M all A all B all X_1 all Y_1 (hAPP_P2094403585on_val(fun_up204312361on_val(M,A,some_val(B)),X_1) = some_val(Y_1) <-> X_1 = A & B = Y_1 | X_1 != A & hAPP_P2094403585on_val(M,X_1) = some_val(Y_1))) # label(fact_620_map__upd__Some__unfold) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 659 (all M all A all B all X_1 all Y_1 (hAPP_n546249108on_val(fun_up2041264236on_val(M,A,some_P948696889on_val(B)),X_1) = some_P948696889on_val(Y_1) <-> X_1 = A & B = Y_1 | X_1 != A & hAPP_n546249108on_val(M,X_1) = some_P948696889on_val(Y_1))) # label(fact_621_map__upd__Some__unfold) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 660 (all M all A all B all X_1 all Y_1 (hAPP_l512744617ion_ty(fun_up424764369ion_ty(M,A,some_ty(B)),X_1) = some_ty(Y_1) <-> X_1 = A & B = Y_1 | X_1 != A & hAPP_l512744617ion_ty(M,X_1) = some_ty(Y_1))) # label(fact_622_map__upd__Some__unfold) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 661 (all M all A all B all X_1 all Y_1 (hAPP_l207779698on_val(fun_up1149430426on_val(M,A,some_val(B)),X_1) = some_val(Y_1) <-> X_1 = A & B = Y_1 | X_1 != A & hAPP_l207779698on_val(M,X_1) = some_val(Y_1))) # label(fact_623_map__upd__Some__unfold) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 662 (all T_1 all K all X_1 (hAPP_P2094403585on_val(T_1,K) = some_val(X_1) -> fun_up204312361on_val(T_1,K,some_val(X_1)) = T_1)) # label(fact_624_map__upd__triv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 663 (all T_1 all K all X_1 (hAPP_n546249108on_val(T_1,K) = some_P948696889on_val(X_1) -> fun_up2041264236on_val(T_1,K,some_P948696889on_val(X_1)) = T_1)) # label(fact_625_map__upd__triv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 664 (all T_1 all K all X_1 (hAPP_l512744617ion_ty(T_1,K) = some_ty(X_1) -> fun_up424764369ion_ty(T_1,K,some_ty(X_1)) = T_1)) # label(fact_626_map__upd__triv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 665 (all T_1 all K all X_1 (hAPP_l207779698on_val(T_1,K) = some_val(X_1) -> fun_up1149430426on_val(T_1,K,some_val(X_1)) = T_1)) # label(fact_627_map__upd__triv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 666 (all M all A all X_1 all N all Y_1 (fun_up204312361on_val(M,A,some_val(X_1)) = fun_up204312361on_val(N,A,some_val(Y_1)) -> X_1 = Y_1)) # label(fact_628_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 667 (all M all A all X_1 all N all Y_1 (fun_up2041264236on_val(M,A,some_P948696889on_val(X_1)) = fun_up2041264236on_val(N,A,some_P948696889on_val(Y_1)) -> X_1 = Y_1)) # label(fact_629_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 668 (all M all A all X_1 all N all Y_1 (fun_up424764369ion_ty(M,A,some_ty(X_1)) = fun_up424764369ion_ty(N,A,some_ty(Y_1)) -> X_1 = Y_1)) # label(fact_630_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 669 (all M all A all X_1 all N all Y_1 (fun_up1149430426on_val(M,A,some_val(X_1)) = fun_up1149430426on_val(N,A,some_val(Y_1)) -> X_1 = Y_1)) # label(fact_631_map__upd__eqD1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 670 (all F_1 all G all X_1 all Y_1 map_ad1185064968ar_val(F_1,fun_up204312361on_val(G,X_1,some_val(Y_1))) = fun_up204312361on_val(map_ad1185064968ar_val(F_1,G),X_1,some_val(Y_1))) # label(fact_632_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 671 (all F_1 all G all X_1 all Y_1 map_ad61982421on_val(F_1,fun_up2041264236on_val(G,X_1,some_P948696889on_val(Y_1))) = fun_up2041264236on_val(map_ad61982421on_val(F_1,G),X_1,some_P948696889on_val(Y_1))) # label(fact_633_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 672 (all F_1 all G all X_1 all Y_1 map_add_list_char_ty(F_1,fun_up424764369ion_ty(G,X_1,some_ty(Y_1))) = fun_up424764369ion_ty(map_add_list_char_ty(F_1,G),X_1,some_ty(Y_1))) # label(fact_634_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 673 (all F_1 all G all X_1 all Y_1 map_ad325961431ar_val(F_1,fun_up1149430426on_val(G,X_1,some_val(Y_1))) = fun_up1149430426on_val(map_ad325961431ar_val(F_1,G),X_1,some_val(Y_1))) # label(fact_635_map__add__upd) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 674 (all M all N all K all Xx (hAPP_l207779698on_val(N,K) = some_val(Xx) -> hAPP_l207779698on_val(map_ad325961431ar_val(M,N),K) = some_val(Xx))) # label(fact_636_map__add__find__right) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 675 (all Pa all V all V_1 all Ha all La hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(Ha,fun_up1149430426on_val(La,V,some_val(V_1)))))) # label(fact_637_redp__redsp_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 676 (all L_a all V all Pa all Ea all S_0 all V_1 all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La))) -> (L_a = fun_up1149430426on_val(La,V,some_val(V_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(Ha,L_a)))))) # label(fact_638_LAss) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 677 (all T all V_5 all Pa all Ea all Ha all La all V all V_1 all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,some_val(V_1)))),E_a),produc899768717on_val(H_a,L_a))) -> (hAPP_l207779698on_val(L_a,V) = some_val(V_5) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_5)),E_a))),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V)))))))) # label(fact_639_redp__redsp_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 678 (all V all V_1 all Ha all La all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(Ha,fun_up1149430426on_val(La,V,some_val(V_1))))),red(Pa)))) # label(fact_640_red__reds_ORedLAss) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 679 (all V all Ea all S all V_1 all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,some_val(V_1))))),transi2024712006on_val(red(Pa)))))) # label(fact_641_LAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 680 (all T all V_5 all Ea all Ha all La all V all V_1 all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,some_val(V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> (hAPP_l207779698on_val(L_a,V) = some_val(V_5) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_5)),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa)))))) # label(fact_642_red__reds_OInitBlockRed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 681 (all T all Ea all Ha all La all V all V_1 all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,some_val(V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,the_val(hAPP_l207779698on_val(L_a,V)))),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),transi2024712006on_val(red(Pa)))))) # label(fact_643_InitBlockReds) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 682 (all Pa all V all Ea all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S),E_a),S_1)) -> ((E_a = hAPP_v834067052t_char(val_list_char,unit) -> (all V_4 all H all L (S_1 = produc899768717on_val(H,fun_up1149430426on_val(L,V,some_val(V_4))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,V_4)),produc899768717on_val(H,L)))))) -> -(all E_4 (E_a = throw_list_char(E_4) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),throw_list_char(E_4)),S_1))))))) # label(fact_644_eval__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 683 (all Pa all Ha all E all V all T all Ea all T_2 (hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E,V,some_ty(T)),Ea,T_2)) -> hBOOL(wTrt(Pa,Ha,E,block_list_char(V,T,Ea),T_2)))) # label(fact_645_WTrtBlock) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 684 (all Fs_3 all Ha all A all C all Fs (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A,some_P948696889on_val(produc823076510on_val(C,Fs_3))))))) # label(fact_646_hext__upd__obj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 685 (all H_2_1 all Fs_3 all F all D all C all Fs all E_2 all V_1 all H_2 all L_2 all Pa all E_1 all S_0 all A all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(H_2,L_2))) -> (hAPP_n546249108on_val(H_2,A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> (Fs_3 = fun_up204312361on_val(Fs,produc5062597t_char(F,D),some_val(V_1)) -> (H_2_1 = fun_up2041264236on_val(H_2,A,some_P948696889on_val(produc823076510on_val(C,Fs_3))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(H_2_1,L_2))))))))) # label(fact_647_FAss) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 686 (all Pa all F all D all V_1 all La all Ha all A all C all Fs (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(fun_up2041264236on_val(Ha,A,some_P948696889on_val(produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),some_val(V_1))))),La))))) # label(fact_648_redp__redsp_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 687 (all F all D all V_1 all La all Pa all Ha all A all C all Fs (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(fun_up2041264236on_val(Ha,A,some_P948696889on_val(produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),some_val(V_1))))),La))),red(Pa))))) # label(fact_649_red__reds_ORedFAss) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 688 (all F all D all C all Fs all E_2 all V_1 all H_2 all L_2 all E_1 all S_0 all A all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_2),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa)))) -> (some_P948696889on_val(produc823076510on_val(C,Fs)) = hAPP_n546249108on_val(H_2,A) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1,F,D,E_2),S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(fun_up2041264236on_val(H_2,A,some_P948696889on_val(produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),some_val(V_1))))),L_2))),transi2024712006on_val(red(Pa)))))))) # label(fact_650_FAssRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 689 (all F all D all V_1 all C all Fs all Pa all Ea all S_0 all A all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))) -> (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = some_val(V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La))))))) # label(fact_651_FAcc) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 690 (all E_2 all V all E_2_1 all H_2 all L_2 all C all D all Fs all E_1 all S_0 all A all H_1_1 all L_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_0),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(H_1_1,L_1_1))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(H_1_1,A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,produc899768717on_val(H_1_1,fun_up1149430426on_val(L_1_1,V,some_val(addr(A))))),produc1259058957on_val(E_2_1,produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_2_1)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(E_1,C,V,E_2),S_0),produc1259058957on_val(E_2_1,produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1_1,V))))),transi2024712006on_val(red(Pa)))))))))) # label(fact_652_TryCatchRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 691 (all F all D all V_1 all C all Fs all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hp(S_1),A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = some_val(V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_653_FAccRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 692 (all C all Pa all S all A all D all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),red(Pa)))))) # label(fact_654_red__reds_ORedCast) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 693 (all V all E_2 all C all Pa all S all A all D all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S)),red(Pa)))))) # label(fact_655_red__reds_ORedTryFail) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 694 (all C all D all Fs all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hp(S_1),A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_656_CastRedsAddr) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 695 (all C all D all Fs all Pa all Ea all S_0 all A all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))) -> (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))))))) # label(fact_657_Cast) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 696 (all V all E_2 all C all D all Fs all Pa all E_1 all S_0 all A all H_1_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1_1,L_1_1))) -> (hAPP_n546249108on_val(H_1_1,A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1_1,L_1_1))))))) # label(fact_658_TryThrow) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 697 (all Pa all F all D all V_1 all S all A all C all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = some_val(V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S),hAPP_v834067052t_char(val_list_char,V_1)),S))))) # label(fact_659_redp__redsp_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 698 (all E_2 all V all E_2_1 all H_2 all L_2 all C all D all Fs all Pa all E_1 all S_0 all A all H_1_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1_1,L_1_1))) -> (hAPP_n546249108on_val(H_1_1,A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,produc899768717on_val(H_1_1,fun_up1149430426on_val(L_1_1,V,some_val(addr(A))))),E_2_1),produc899768717on_val(H_2,L_2))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V,E_2),S_0),E_2_1),produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1_1,V)))))))))) # label(fact_660_TryCatch) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 699 (all V all E_2 all C all D all Fs all E_1 all S all A all Ha all La all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(E_1,C,V,E_2),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa)))))))) # label(fact_661_TryRedsFail) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 700 (all Pa all F all D all V_1 all S all A all C all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> (hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = some_val(V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),red(Pa)))))) # label(fact_662_red__reds_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 701 (all C all D all Fs all Ea all S all A all S_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1)),transi2024712006on_val(red(Pa)))) -> (hAPP_n546249108on_val(hp(S_1),A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast)))),S_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_663_CastRedsFail) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 702 (all C all Pa all S all A all D all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast)))),S)),red(Pa)))))) # label(fact_664_red__reds_ORedCastFail) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 703 (all C all D all Fs all Pa all Ea all S_0 all A all Ha all La (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))) -> (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (-hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),produc899768717on_val(Ha,La))))))) # label(fact_665_CastFail) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 704 (all V all E_2 all C all Pa all S all A all D all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S),produc1259058957on_val(block_list_char(V,class(C),seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,addr(A))),E_2)),S)),red(Pa)))))) # label(fact_666_red__reds_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 705 (all Ha all H_a (hBOOL(hext(Ha,H_a)) <-> (all A_1 all C_1 all Fs_2 (hAPP_n546249108on_val(Ha,A_1) = some_P948696889on_val(produc823076510on_val(C_1,Fs_2)) -> (exists Fs_1 hAPP_n546249108on_val(H_a,A_1) = some_P948696889on_val(produc823076510on_val(C_1,Fs_1))))))) # label(fact_667_hext__def) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 706 (all A all C all Fs all Ha all H_a (hBOOL(hext(Ha,H_a)) -> (hAPP_n546249108on_val(Ha,A) = some_P948696889on_val(produc823076510on_val(C,Fs)) -> (exists Fs_1 hAPP_n546249108on_val(H_a,A) = some_P948696889on_val(produc823076510on_val(C,Fs_1)))))) # label(fact_668_hext__objD) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 707 (all T all V_1 all Ea all Ha all La all V all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> (hAPP_l207779698on_val(L_a,V) = some_val(V_1) -> (-hBOOL(assigned(V,Ea)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,Ea),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa))))))) # label(fact_669_red__reds_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 708 (all T_1 all K all X_1 -(all X_2 hAPP_l512744617ion_ty(fun_up424764369ion_ty(T_1,K,some_ty(X_1)),X_2) = none_ty)) # label(fact_670_map__upd__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 709 (all T_1 all K all X_1 -(all X_2 hAPP_l207779698on_val(fun_up1149430426on_val(T_1,K,some_val(X_1)),X_2) = none_val)) # label(fact_671_map__upd__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 710 (all T all Pa all E_0 all H_0_1 all L_0_1 all V all E_1 all H_1_1 all L_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,produc899768717on_val(H_0_1,fun_up1149430426on_val(L_0_1,V,none_val))),E_1),produc899768717on_val(H_1_1,L_1_1))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,T,E_0),produc899768717on_val(H_0_1,L_0_1)),E_1),produc899768717on_val(H_1_1,fun_up1149430426on_val(L_1_1,V,hAPP_l207779698on_val(L_0_1,V))))))) # label(fact_672_Block) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 711 (all T all Pa all Ea all Ha all La all V all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),E_a),produc899768717on_val(H_a,L_a))) -> (hAPP_l207779698on_val(L_a,V) = none_val -> (-hBOOL(assigned(V,Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T,Ea),produc899768717on_val(Ha,La)),block_list_char(V,T,E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))))))) # label(fact_673_redp__redsp_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 712 (all T all Ea all Ha all La all V all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> (hAPP_l207779698on_val(L_a,V) = none_val -> (-hBOOL(assigned(V,Ea)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,Ea),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T,E_a),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa))))))) # label(fact_674_red__reds_OBlockRedNone) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 713 (all T all H_0_1 all L_0_1 all V all E_0 all S_0 all E_2 all H_2 all L_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_0,S_0),produc1259058957on_val(E_2,produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_2)) -> (S_0 = produc899768717on_val(H_0_1,fun_up1149430426on_val(L_0_1,V,none_val)) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T,E_0),produc899768717on_val(H_0_1,L_0_1)),produc1259058957on_val(E_2,produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_0_1,V))))),transi2024712006on_val(red(Pa)))))))) # label(fact_675_BlockRedsFinal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 714 (all T all V_1 all Pa all Ea all Ha all La all V all E_a all H_a all L_a (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),E_a),produc899768717on_val(H_a,L_a))) -> (hAPP_l207779698on_val(L_a,V) = some_val(V_1) -> (-hBOOL(assigned(V,Ea)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T,Ea),produc899768717on_val(Ha,La)),block_list_char(V,T,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_a))),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))))))) # label(fact_676_redp__redsp_OBlockRedSome) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 715 (all Pa all V all T all E_1 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,T,E_1),S),E_a),S_1)) -> -(all H_0 all L_0 (S = produc899768717on_val(H_0,L_0) -> (all H_1 all L_1 (S_1 = produc899768717on_val(H_1,fun_up1149430426on_val(L_1,V,hAPP_l207779698on_val(L_0,V))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,produc899768717on_val(H_0,fun_up1149430426on_val(L_0,V,none_val))),E_a),produc899768717on_val(H_1,L_1))))))))) # label(fact_677_eval__cases_I8_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 716 (all Bop all V_1 all E_2 all V_2_1 all S_2 all E_1 all S_0 all V_1_1 all S_1_2 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_2)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_2),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2_1),S_2)),transi2024712006on_val(red(Pa)))) -> (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = some_val(V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(E_1,Bop,E_2),S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_2)),transi2024712006on_val(red(Pa)))))))) # label(fact_678_BinOpRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 717 (all X_1 all Ha all A (hAPP_n546249108on_val(Ha,A) = none_P179726773on_val -> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A,some_P948696889on_val(X_1)))))) # label(fact_679_hext__new) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 718 (all Bop all V_1 all E_2 all V_2_1 all S_2 all Pa all E_1 all S_0 all V_1_1 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_2)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_2_1)),S_2)) -> (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = some_val(V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_2)))))) # label(fact_680_BinOp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 719 (all Pa all S all Bop all V_1_1 all V_2_1 all V_1 (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = some_val(V_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S),hAPP_v834067052t_char(val_list_char,V_1)),S)))) # label(fact_681_redp__redsp_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 720 (all S all Pa all Bop all V_1_1 all V_2_1 all V_1 (binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = some_val(V_1) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),red(Pa))))) # label(fact_682_red__reds_ORedBinOp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 721 (all Pa all E_1 all Bop all E_2 all S all E_a all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S),E_a),S_1)) -> ((all V_1_3 all S_1_1 all V_2_2 all V_4 (E_a = hAPP_v834067052t_char(val_list_char,V_4) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_2)),S_1)) -> binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_3,V_2_2))) != some_val(V_4))))) -> ((all E_3 (E_a = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),throw_list_char(E_3)),S_1)))) -> -(all V_1_3 all S_1_1 all E_3 (E_a = throw_list_char(E_3) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_1)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_3)),S_1))))))))) # label(fact_683_eval__cases_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 722 (all Pa all Ha all E all Ea all T (hBOOL(wTrt(Pa,Ha,E,Ea,T)) -> (hBOOL(is_refT(T)) -> (hBOOL(final_list_char(Ea)) -> (Ea != hAPP_v834067052t_char(val_list_char,null) -> (((exists A_1 Ea = hAPP_v834067052t_char(val_list_char,addr(A_1))) -> (all C_1 T != class(C_1))) -> -(all A_1 Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))))))) # label(fact_684_finalRefE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 723 (all Pa all Ha all E all Ea all C (hBOOL(wTrt(Pa,Ha,E,Ea,class(C))) -> (hBOOL(final_list_char(Ea)) -> ((all A_1 Ea != hAPP_v834067052t_char(val_list_char,addr(A_1))) -> -(all A_1 Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))))) # label(fact_685_final__addrE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 724 (all V_1_1 all V_2_1 binop(produc621191550al_val(c_Expr_Obop_OEq,product_Pair_val_val(V_1_1,V_2_1))) = some_val(bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_1),V_2_1)))) # label(fact_686_binop_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 725 (all V_1_2 binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,unit))) = none_val) # label(fact_687_binop_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.97 726 (all Y (is_bop(Y) -> (Y != c_Expr_Obop_OEq -> Y = add))) # label(fact_690_bop_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 727 (all V_1_2 all V_3 binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,addr(V_3)))) = none_val) # label(fact_691_binop_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 728 (all V_3 all V_2 binop(produc621191550al_val(add,product_Pair_val_val(addr(V_3),V_2))) = none_val) # label(fact_692_binop_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 729 (all V_2 binop(produc621191550al_val(add,product_Pair_val_val(null,V_2))) = none_val) # label(fact_693_binop_Osimps_I4_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 730 (all V_1_2 binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,null))) = none_val) # label(fact_694_binop_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 731 (all V_1 all V_2_1 binop(produc621191550al_val(add,product_Pair_val_val(bool(V_1),V_2_1))) = none_val) # label(fact_695_binop_Osimps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 732 (all V_1_1 all V_1 binop(produc621191550al_val(add,product_Pair_val_val(V_1_1,bool(V_1)))) = none_val) # label(fact_696_binop_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 733 (all V_2 binop(produc621191550al_val(add,product_Pair_val_val(unit,V_2))) = none_val) # label(fact_697_binop_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 734 (all V all E_2 all Pa all C all S all A all D all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(produc823076510on_val(D,Fs)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S),block_list_char(V,class(C),seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S))))) # label(fact_698_redp__redsp_ORedTryCatch) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 735 (all C all Pa all Ha all E all Ea all T (hBOOL(wTrt(Pa,Ha,E,Ea,T)) -> (hBOOL(is_refT(T)) -> (hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) -> hBOOL(wTrt(Pa,Ha,E,cast_list_char(C,Ea),class(C))))))) # label(fact_699_WTrtCast) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 736 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fTrue_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 737 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 738 (all X all Y (-hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__Value__Oval_T) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01 739 (all X all Y (X != Y | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)))) # label(help_fequal_2_1_fequal_000tc__Value__Oval_T) # label(axiom) # label(non_clause). [assumption].
% 1.59/2.01
% 1.59/2.01 ============================== end of process non-clausal formulas ===
% 1.59/2.01
% 1.59/2.01 ============================== PROCESS INITIAL CLAUSES ===============
% 1.59/2.01
% 1.59/2.01 ============================== PREDICATE ELIMINATION =================
% 1.59/2.01 740 -is_bool(A) | A = fTrue | A = fFalse # label(help_fTrue_1_1_T) # label(axiom). [clausify(736)].
% 1.59/2.01 741 is_bool(final_list_char(A)) # label(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom). [clausify(1)].
% 1.59/2.01 742 is_bool(finals_list_char(A)) # label(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J) # label(axiom). [clausify(2)].
% 1.59/2.01 743 is_bool(hconf_97414254t_char(A,B)) # label(gsy_c_Conform_Ohconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(hypothesis). [clausify(3)].
% 1.59/2.01 744 is_bool(hext(A,B)) # label(gsy_c_Objects_Ohext) # label(axiom). [clausify(4)].
% 1.59/2.01 745 is_bool(assigned(A,B)) # label(gsy_c_SmallStep_Oassigned) # label(axiom). [clausify(5)].
% 1.59/2.01 746 is_bool(is_refT(A)) # label(gsy_c_Type_Ois__refT) # label(axiom). [clausify(6)].
% 1.59/2.01 747 is_bool(wTrt(A,B,C,D,E)) # label(gsy_c_WellTypeRT_OWTrt) # label(hypothesis). [clausify(7)].
% 1.59/2.01 748 is_bool(wTrts(A,B,C,D,E)) # label(gsy_c_WellTypeRT_OWTrts) # label(axiom). [clausify(8)].
% 1.59/2.01 749 is_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 1.59/2.01 750 is_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 1.59/2.01 751 is_bool(hAPP_e544220455r_bool(A,B)) # label(gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_) # label(axiom). [clausify(9)].
% 1.59/2.01 752 is_bool(hAPP_list_char_bool(A,B)) # label(gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool) # label(axiom). [clausify(10)].
% 1.59/2.01 753 is_bool(hAPP_val_bool(A,B)) # label(gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool) # label(axiom). [clausify(11)].
% 1.59/2.01 754 is_bool(hAPP_f1033709212l_bool(A,B)) # label(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) # label(axiom). [clausify(12)].
% 1.59/2.01 755 is_bool(hAPP_f1715346603l_bool(A,B)) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_) # label(axiom). [clausify(13)].
% 1.59/2.01 756 is_bool(hAPP_P943837928l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov) # label(axiom). [clausify(14)].
% 1.59/2.01 757 is_bool(hAPP_P1708370145l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) # label(axiom). [clausify(15)].
% 1.59/2.01 758 is_bool(hAPP_P71593144l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) # label(axiom). [clausify(16)].
% 1.59/2.01 759 is_bool(hAPP_P92196306r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) # label(axiom). [clausify(17)].
% 1.59/2.01 760 is_bool(hAPP_P449474095r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It) # label(axiom). [clausify(18)].
% 1.59/2.01 761 is_bool(hAPP_P1235399154l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_) # label(axiom). [clausify(19)].
% 1.59/2.01 762 is_bool(hAPP_P1907982426r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol) # label(axiom). [clausify(20)].
% 1.59/2.01 763 is_bool(hAPP_P2118621157r_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__) # label(axiom). [clausify(21)].
% 1.59/2.01 764 is_bool(hAPP_P929938951l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool) # label(axiom). [clausify(22)].
% 1.59/2.01 765 is_bool(hAPP_P159683425l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom). [clausify(23)].
% 1.59/2.01 766 is_bool(hAPP_P282169671l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) # label(axiom). [clausify(24)].
% 1.59/2.01 767 is_bool(hAPP_P1333315679l_bool(A,B)) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom). [clausify(25)].
% 1.59/2.01 768 is_bool(member1251428284t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_) # label(axiom). [clausify(26)].
% 1.59/2.01 769 is_bool(member649088532al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) # label(axiom). [clausify(27)].
% 1.59/2.01 770 is_bool(member1732271180al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt) # label(axiom). [clausify(28)].
% 1.59/2.01 771 is_bool(member773094996on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) # label(hypothesis). [clausify(29)].
% 1.59/2.01 772 is_bool(member875476972on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O) # label(axiom). [clausify(30)].
% 1.59/2.01 773 is_bool(member1420286996t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String) # label(axiom). [clausify(31)].
% 1.59/2.01 774 is_bool(member794220506t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li) # label(axiom). [clausify(32)].
% 1.59/2.01 775 is_bool(member1322055188on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fu) # label(axiom). [clausify(33)].
% 1.59/2.01 776 is_bool(member125098544t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I) # label(axiom). [clausify(34)].
% 1.59/2.01 777 is_bool(member1161907014t_char(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr) # label(axiom). [clausify(35)].
% 1.59/2.01 778 is_bool(member837208074al_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod) # label(axiom). [clausify(36)].
% 1.59/2.01 779 is_bool(member563141460on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_) # label(axiom). [clausify(37)].
% 1.59/2.01 780 is_bool(member808015754on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It) # label(axiom). [clausify(38)].
% 1.59/2.01 781 is_bool(member88670778on_val(A,B)) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It) # label(axiom). [clausify(39)].
% 1.59/2.01 Derived: final_list_char(A) = fTrue | final_list_char(A) = fFalse. [resolve(740,a,741,a)].
% 1.59/2.01 Derived: finals_list_char(A) = fTrue | finals_list_char(A) = fFalse. [resolve(740,a,742,a)].
% 1.59/2.01 Derived: hconf_97414254t_char(A,B) = fTrue | hconf_97414254t_char(A,B) = fFalse. [resolve(740,a,743,a)].
% 1.59/2.01 Derived: hext(A,B) = fTrue | hext(A,B) = fFalse. [resolve(740,a,744,a)].
% 1.59/2.01 Derived: assigned(A,B) = fTrue | assigned(A,B) = fFalse. [resolve(740,a,745,a)].
% 1.59/2.01 Derived: is_refT(A) = fTrue | is_refT(A) = fFalse. [resolve(740,a,746,a)].
% 1.59/2.01 Derived: wTrt(A,B,C,D,E) = fTrue | wTrt(A,B,C,D,E) = fFalse. [resolve(740,a,747,a)].
% 1.59/2.01 Derived: wTrts(A,B,C,D,E) = fTrue | wTrts(A,B,C,D,E) = fFalse. [resolve(740,a,748,a)].
% 1.59/2.01 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(740,a,749,a)].
% 1.59/2.01 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(740,a,750,a)].
% 1.59/2.01 Derived: hAPP_e544220455r_bool(A,B) = fTrue | hAPP_e544220455r_bool(A,B) = fFalse. [resolve(740,a,751,a)].
% 1.59/2.01 Derived: hAPP_list_char_bool(A,B) = fTrue | hAPP_list_char_bool(A,B) = fFalse. [resolve(740,a,752,a)].
% 1.59/2.01 Derived: hAPP_val_bool(A,B) = fTrue | hAPP_val_bool(A,B) = fFalse. [resolve(740,a,753,a)].
% 1.59/2.01 Derived: hAPP_f1033709212l_bool(A,B) = fTrue | hAPP_f1033709212l_bool(A,B) = fFalse. [resolve(740,a,754,a)].
% 1.59/2.01 Derived: hAPP_f1715346603l_bool(A,B) = fTrue | hAPP_f1715346603l_bool(A,B) = fFalse. [resolve(740,a,755,a)].
% 1.59/2.01 Derived: hAPP_P943837928l_bool(A,B) = fTrue | hAPP_P943837928l_bool(A,B) = fFalse. [resolve(740,a,756,a)].
% 1.59/2.01 Derived: hAPP_P1708370145l_bool(A,B) = fTrue | hAPP_P1708370145l_bool(A,B) = fFalse. [resolve(740,a,757,a)].
% 1.59/2.01 Derived: hAPP_P71593144l_bool(A,B) = fTrue | hAPP_P71593144l_bool(A,B) = fFalse. [resolve(740,a,758,a)].
% 1.59/2.01 Derived: hAPP_P92196306r_bool(A,B) = fTrue | hAPP_P92196306r_bool(A,B) = fFalse. [resolve(740,a,759,a)].
% 1.59/2.01 Derived: hAPP_P449474095r_bool(A,B) = fTrue | hAPP_P449474095r_bool(A,B) = fFalse. [resolve(740,a,760,a)].
% 1.59/2.01 Derived: hAPP_P1235399154l_bool(A,B) = fTrue | hAPP_P1235399154l_bool(A,B) = fFalse. [resolve(740,a,761,a)].
% 1.59/2.01 Derived: hAPP_P1907982426r_bool(A,B) = fTrue | hAPP_P1907982426r_bool(A,B) = fFalse. [resolve(740,a,762,a)].
% 1.59/2.01 Derived: hAPP_P2118621157r_bool(A,B) = fTrue | hAPP_P2118621157r_bool(A,B) = fFalse. [resolve(740,a,763,a)].
% 1.59/2.01 Derived: hAPP_P929938951l_bool(A,B) = fTrue | hAPP_P929938951l_bool(A,B) = fFalse. [resolve(740,a,764,a)].
% 1.59/2.01 Derived: hAPP_P159683425l_bool(A,B) = fTrue | hAPP_P159683425l_bool(A,B) = fFalse. [resolve(740,a,765,a)].
% 1.59/2.01 Derived: hAPP_P282169671l_bool(A,B) = fTrue | hAPP_P282169671l_bool(A,B) = fFalse. [resolve(740,a,766,a)].
% 1.59/2.01 Derived: hAPP_P1333315679l_bool(A,B) = fTrue | hAPP_P1333315679l_bool(A,B) = fFalse. [resolve(740,a,767,a)].
% 1.59/2.01 Derived: member1251428284t_char(A,B) = fTrue | member1251428284t_char(A,B) = fFalse. [resolve(740,a,768,a)].
% 1.59/2.01 Derived: member649088532al_val(A,B) = fTrue | member649088532al_val(A,B) = fFalse. [resolve(740,a,769,a)].
% 1.59/2.01 Derived: member1732271180al_val(A,B) = fTrue | member1732271180al_val(A,B) = fFalse. [resolve(740,a,770,a)].
% 1.59/2.01 Derived: member773094996on_val(A,B) = fTrue | member773094996on_val(A,B) = fFalse. [resolve(740,a,771,a)].
% 2.45/2.74 Derived: member875476972on_val(A,B) = fTrue | member875476972on_val(A,B) = fFalse. [resolve(740,a,772,a)].
% 2.45/2.74 Derived: member1420286996t_char(A,B) = fTrue | member1420286996t_char(A,B) = fFalse. [resolve(740,a,773,a)].
% 2.45/2.74 Derived: member794220506t_char(A,B) = fTrue | member794220506t_char(A,B) = fFalse. [resolve(740,a,774,a)].
% 2.45/2.74 Derived: member1322055188on_val(A,B) = fTrue | member1322055188on_val(A,B) = fFalse. [resolve(740,a,775,a)].
% 2.45/2.74 Derived: member125098544t_char(A,B) = fTrue | member125098544t_char(A,B) = fFalse. [resolve(740,a,776,a)].
% 2.45/2.74 Derived: member1161907014t_char(A,B) = fTrue | member1161907014t_char(A,B) = fFalse. [resolve(740,a,777,a)].
% 2.45/2.74 Derived: member837208074al_val(A,B) = fTrue | member837208074al_val(A,B) = fFalse. [resolve(740,a,778,a)].
% 2.45/2.74 Derived: member563141460on_val(A,B) = fTrue | member563141460on_val(A,B) = fFalse. [resolve(740,a,779,a)].
% 2.45/2.74 Derived: member808015754on_val(A,B) = fTrue | member808015754on_val(A,B) = fFalse. [resolve(740,a,780,a)].
% 2.45/2.74 Derived: member88670778on_val(A,B) = fTrue | member88670778on_val(A,B) = fFalse. [resolve(740,a,781,a)].
% 2.45/2.74 782 -is_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(737)].
% 2.45/2.74
% 2.45/2.74 ============================== end predicate elimination =============
% 2.45/2.74
% 2.45/2.74 Auto_denials: (non-Horn, no changes).
% 2.45/2.74
% 2.45/2.74 Term ordering decisions:
% 2.45/2.74 Function symbol KB weights: val_list_char=1. fTrue=1. fFalse=1. unit=1. null=1. nullPointer=1. none_val=1. add=1. c_Expr_Obop_OEq=1. classCast=1. fequal_val=1. h_1=1. p=1. e=1. bop=1. e_1=1. e_2=1. h=1. l=1. l_1=1. none_P179726773on_val=1. t=1. none_ty=1. hAPP_P159683425l_bool=1. hAPP_e1833980889l_bool=1. produc1259058957on_val=1. hAPP_v834067052t_char=1. produc1441475159on_val=1. member773094996on_val=1. produc899768717on_val=1. produc1611380469on_val=1. product_Pair_val_val=1. produc5062597t_char=1. produc621191550al_val=1. produc823076510on_val=1. produc379668296on_val=1. while_list_char=1. member875476972on_val=1. produc1909267824t_char=1. produc1916172923t_char=1. produc921874948t_char=1. hAPP_P1708370145l_bool=1. hAPP_P71593144l_bool=1. cons_exp_list_char=1. append_exp_list_char=1. hAPP_P929938951l_bool=1. hAPP_val_bool=1. hAPP_list_char_bool=1. member1251428284t_char=1. seq_list_char=1. hAPP_l146377954l_bool=1. lAss_list_char=1. hAPP_P1907982426r_bool=1. hAPP_P2118621157r_bool=1. hAPP_n546249108on_val=1. member649088532al_val=1. hAPP_b97269396l_bool=1. map_va1934808527t_char=1. hAPP_l207779698on_val=1. hAPP_v1392248405l_bool=1. cast_list_char=1. hAPP_e544220455r_bool=1. hAPP_f1033709212l_bool=1. hAPP_f1715346603l_bool=1. hAPP_l1361600383r_bool=1. hAPP_P1116729363l_bool=1. hAPP_P1183008383l_bool=1. hAPP_f1175813647l_bool=1. hAPP_l1062423959r_bool=1. hAPP_l1987619678r_bool=1. hAPP_l217977712r_bool=1. hAPP_l465799708l_bool=1. member1732271180al_val=1. hAPP_P1333315679l_bool=1. hAPP_P282169671l_bool=1. produc1924279125al_val=1. hAPP_P943837928l_bool=1. hAPP_P92196306r_bool=1. hext=1. member1161907014t_char=1. member125098544t_char=1. member1322055188on_val=1. member1420286996t_char=1. member563141460on_val=1. member794220506t_char=1. member808015754on_val=1. member837208074al_val=1. member88670778on_val=1. hAPP_P449474095r_bool=1. cons_val=1. produc1244920211al_val=1. produc1299387215t_char=1. produc1564932627on_val=1. produc1951691075on_val=1. produc2080520419t_char=1. produc24551831t_char=1. produc499151895on_val=1. produc57279289t_char=1. produc870913623on_val=1. hAPP_P1235399154l_bool=1. hAPP_P2094403585on_val=1. cons_ty=1. cons_list_char=1. map_ad325961431ar_val=1. hAPP_l512744617ion_ty=1. assigned=1. append_val=1. append_list_char=1. append_ty=1. hconf_97414254t_char=1. map_ad1185064968ar_val=1. map_ad61982421on_val=1. map_add_list_char_ty=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f25=1. f26=1. f27=1. f28=1. f29=1. f30=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. f41=1. f42=1. f43=1. f44=1. f45=1. f363=1. f364=1. f370=1. f371=1. f372=1. throw_list_char=1. red=1. transi2024712006on_val=1. addr=1. bool=1. some_val=1. some_P948696889on_val=1. transi374442731on_val=1. transi1395422419t_char=1. transi935034983cl_val=1. addr_of_sys_xcpt=1. some_ty=1. binop=1. transi1906258203al_val=1. final_list_char=1. reds=1. transi1095029602t_char=1. transi122195895t_char=1. transi1257872013t_char=1. transi1423755450al_val=1. transi1789604888t_char=1. transi208336786on_val=1. transi61620055on_val=1. transi910771962on_val=1. transi921647814on_val=1. finals_list_char=1. subcls851966956t_char=1. hp=1. is_refT=1. class=1. produc1159035454l_bool=1. produc1555310053l_bool=1. produc156891095r_bool=1. produc1574020101r_bool=1. produc1838470831l_bool=1. produc1911975310l_bool=1. produc2053127004l_bool=1. produc2062775566l_bool=1. produc481748255l_bool=1. produc550034914r_bool=1. produc886919678l_bool=1. produc95371820r_bool=1. blocks=1. is_cla570604648t_char=1. subcls744239332t_char=1. the_Addr=1. the_val=1. transi1065307915t_char=1. undefined_bop=1. f13=1. f14=1. f15=1. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1. f46=1. f47=1. f48=1. f49=1. f50=1. f51=1. f52=1. f53=1. f54=1. f55=1. f56=1. f57=1. f58=1. f59=1. f60=1. f61=1. f62=1. f63=1. f64=1. f65=1. f66=1. f67=1. f68=1. f69=1. f70=1. f71=1. f72=1. f73=1. f74=1. f75=1. f76=1. f77=1. f78=1. f79=1. f80=1. f81=1. f82=1. f83=1. f84=1. f85=1. f86=1. f87=1. f88=1. f89=1. f90=1. f91=1. f92=1. f93=1. f94=1. f95=1. f96=1. f97=1. f98=1. f99=1. f100=1. f101=1. f102=1. f103=1. f104=1. f105=1. f106=1. f107=1. f108=1. f109=1. f110=1. f111=1. f112=1. f113=1. f114=1. f115=1. f116=1. f117=1. f118=1. f119=1. f120=1. f121=1. f122=1. f123=1. f124=1. f125=1. f126=1. f127=1. f128=1. f129=1. f130=1. f131=1. f132=1. f133=1. f134=1. f135=1. f136=1. f137=1. f138=1. f139=1. f140=1. f141=1. f142=1. f143=1. f144=1. f145=1. f146=1. f147=1. f148=1. f149=1. f150=1. f151=1. f152=1. f153=1. f154=1. f155=1. f156=1. f157=1. f158=1. f159=1. f160=1. f161=1. f162=1. f163=1. f164=1. f165=1. f166=1. f167=1. f168=1. f169=1. f170=1. f171=1. f172=1. f173=1. f174=1. f175=1. f176=1. f177=1. f178=1. f179=1. f180=1. f181=1. f182=1. f183=1. f184=1. f185=1. f186=1. f337=1. f338=1. f339=1. f340=1. f341=1. f342=1. f349=1. f350=1. eval=1. redp=1. binOp_list_char=1. fun_up1149430426on_val=1. block_list_char=1. cond_list_char=1. call_list_char=1. fAcc_list_char=1. evals=1. fun_up2041264236on_val=1. fun_up204312361on_val=1. fun_up424764369ion_ty=1. redsp=1. f307=1. f308=1. f309=1. f310=1. f311=1. f312=1. f313=1. f314=1. f374=1. f375=1. fAss_list_char=1. tryCatch_list_char=1. f315=1. f316=1. f317=1. f318=1. f319=1. f320=1. f321=1. f322=1. f323=1. f324=1. f325=1. f326=1. f327=1. f328=1. f329=1. f330=1. f332=1. f333=1. f334=1. f335=1. f336=1. wTrt=1. wTrts=1. f187=1. f188=1. f189=1. f190=1. f191=1. f192=1. f193=1. f194=1. f195=1. f196=1. f197=1. f198=1. f199=1. f200=1. f201=1. f202=1. f203=1. f204=1. f205=1. f206=1. f207=1. f208=1. f209=1. f210=1. f331=1. f343=1. f344=1. f369=1. f373=1. f388=1. f389=1. f390=1. f391=1. f392=1. f211=1. f212=1. f213=1. f214=1. f215=1. f216=1. f217=1. f218=1. f219=1. f220=1. f221=1. f222=1. f223=1. f224=1. f225=1. f226=1. f227=1. f228=1. f229=1. f230=1. f231=1. f232=1. f233=1. f234=1. f235=1. f236=1. f237=1. f238=1. f239=1. f240=1. f241=1. f242=1. f243=1. f244=1. f245=1. f246=1. f247=1. f248=1. f249=1. f250=1. f251=1. f252=1. f253=1. f254=1. f255=1. f256=1. f257=1. f258=1. f259=1. f260=1. f261=1. f262=1. f263=1. f264=1. f265=1. f266=1. f267=1. f268=1. f269=1. f270=1. f271=1. f272=1. f273=1. f274=1. f275=1. f276=1. f277=1. f278=1. f279=1. f280=1. f281=1. f282=1. f283=1. f284=1. f285=1. f286=1. f287=1. f288=1. f289=1. f290=1. f291=1. f292=1. f293=1. f294=1. f295=1. f296=1. f297=1. f298=1. f299=1. f300=1. f301=1. f302=1. f303=1. f304=1. f305=1. f306=1. f345=1. f346=1. f347=1. f348=1. f351=1. f352=1. f353=1. f354=1. f355=1. f356=1. f357=1. f358=1. f359=1. f365=1. f366=1. f367=1. f368=1. f360=1. f361=1. f362=1. f376=1. f377=1. f378=1. f379=1. f380=1. f381=1. f382=1. f383=1. f384=1. f385=1. f386=1. f387=1.
% 2.45/2.74
% 2.45/2.74 ============================== end of process iniCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------