TSTP Solution File: SWW477+2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW477+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 01:17:15 EDT 2022
% Result : Unknown 139.48s 139.73s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW477+2 : TPTP v8.1.0. Released v5.3.0.
% 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sun Jun 5 08:57:48 EDT 2022
% 0.10/0.29 % CPUTime :
% 1.23/1.60 ============================== Prover9 ===============================
% 1.23/1.60 Prover9 (32) version 2009-11A, November 2009.
% 1.23/1.60 Process 11156 was started by sandbox2 on n032.cluster.edu,
% 1.23/1.60 Sun Jun 5 08:57:49 2022
% 1.23/1.60 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11002_n032.cluster.edu".
% 1.23/1.60 ============================== end of head ===========================
% 1.23/1.60
% 1.23/1.60 ============================== INPUT =================================
% 1.23/1.60
% 1.23/1.60 % Reading from file /tmp/Prover9_11002_n032.cluster.edu
% 1.23/1.60
% 1.23/1.60 set(prolog_style_variables).
% 1.23/1.60 set(auto2).
% 1.23/1.60 % set(auto2) -> set(auto).
% 1.23/1.60 % set(auto) -> set(auto_inference).
% 1.23/1.60 % set(auto) -> set(auto_setup).
% 1.23/1.60 % set(auto_setup) -> set(predicate_elim).
% 1.23/1.60 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.23/1.60 % set(auto) -> set(auto_limits).
% 1.23/1.60 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.23/1.60 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.23/1.60 % set(auto) -> set(auto_denials).
% 1.23/1.60 % set(auto) -> set(auto_process).
% 1.23/1.60 % set(auto2) -> assign(new_constants, 1).
% 1.23/1.60 % set(auto2) -> assign(fold_denial_max, 3).
% 1.23/1.60 % set(auto2) -> assign(max_weight, "200.000").
% 1.23/1.60 % set(auto2) -> assign(max_hours, 1).
% 1.23/1.60 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.23/1.60 % set(auto2) -> assign(max_seconds, 0).
% 1.23/1.60 % set(auto2) -> assign(max_minutes, 5).
% 1.23/1.60 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.23/1.60 % set(auto2) -> set(sort_initial_sos).
% 1.23/1.60 % set(auto2) -> assign(sos_limit, -1).
% 1.23/1.60 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.23/1.60 % set(auto2) -> assign(max_megs, 400).
% 1.23/1.60 % set(auto2) -> assign(stats, some).
% 1.23/1.60 % set(auto2) -> clear(echo_input).
% 1.23/1.60 % set(auto2) -> set(quiet).
% 1.23/1.60 % set(auto2) -> clear(print_initial_clauses).
% 1.23/1.60 % set(auto2) -> clear(print_given).
% 1.23/1.60 assign(lrs_ticks,-1).
% 1.23/1.60 assign(sos_limit,10000).
% 1.23/1.60 assign(order,kbo).
% 1.23/1.60 set(lex_order_vars).
% 1.23/1.60 clear(print_given).
% 1.23/1.60
% 1.23/1.60 % formulas(sos). % not echoed (842 formulas)
% 1.23/1.60
% 1.23/1.60 ============================== end of input ==========================
% 1.23/1.60
% 1.23/1.60 % From the command line: assign(max_seconds, 300).
% 1.23/1.60
% 1.23/1.60 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.23/1.60
% 1.23/1.60 % Formulas that are not ordinary clauses:
% 1.23/1.60 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].
% 1.23/1.60 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].
% 1.23/1.60 3 (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].
% 1.23/1.60 4 (all B_1_1 all B_2_1 all B_3_1 is_bool(widen_2090681816t_char(B_1_1,B_2_1,B_3_1))) # label(gsy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 5 (all B_1_1 is_bool(is_refT(B_1_1))) # label(gsy_c_Type_Ois__refT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 6 (all B_1_1 all B_2_1 is_bool(wf_pro755087577t_char(B_1_1,B_2_1))) # label(gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 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].
% 1.23/1.60 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].
% 1.23/1.60 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].
% 1.23/1.60 10 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_bool(hAPP_bool_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 11 (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].
% 1.23/1.60 12 (all B_1_1 all B_2_1 is_bool(hAPP_f1001225811y_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].
% 1.23/1.60 13 (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_001) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 14 (all B_1_1 all B_2_1 is_bool(hAPP_f61040418l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 15 (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].
% 1.23/1.60 16 (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].
% 1.23/1.60 17 (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].
% 1.23/1.60 18 (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].
% 1.23/1.60 19 (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].
% 1.23/1.60 20 (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].
% 1.23/1.60 21 (all B_1_1 all B_2_1 is_bool(hAPP_P1384137393r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 22 (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].
% 1.23/1.60 23 (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].
% 1.23/1.60 24 (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].
% 1.23/1.60 25 (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].
% 1.23/1.60 26 (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].
% 1.23/1.60 27 (all B_1_1 all B_2_1 is_bool(hAPP_P824029447r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 28 (all B_1_1 all B_2_1 is_bool(hAPP_P2010574925r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 29 (all B_1_1 all B_2_1 is_bool(hAPP_P124632071l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 30 (all B_1_1 all B_2_1 is_bool(hAPP_P1240100515r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 31 (all B_1_1 all B_2_1 is_bool(hAPP_P1183499705r_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 32 (all B_1_1 all B_2_1 is_bool(hAPP_P1221872711l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 33 (all B_1_1 all B_2_1 is_bool(hAPP_P378063101l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 34 (all B_1_1 all B_2_1 is_bool(hAPP_P2028072621l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 35 (all B_1_1 all B_2_1 is_bool(member840932460on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 36 (all B_1_1 all B_2_1 is_bool(member1972431429on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 37 (all B_1_1 all B_2_1 is_bool(member133545693t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 38 (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].
% 1.23/1.60 39 (all B_1_1 all B_2_1 is_bool(member1542417277on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__pro) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 40 (all B_1_1 all B_2_1 is_bool(member140606439t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 41 (all B_1_1 all B_2_1 is_bool(member699351154t_char(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 42 (all B_1_1 all B_2_1 is_bool(member763590124on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 43 (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(axiom) # label(non_clause). [assumption].
% 1.23/1.60 44 (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].
% 1.23/1.60 45 (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].
% 1.23/1.60 46 (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].
% 1.23/1.60 47 (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].
% 1.23/1.60 48 (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].
% 1.23/1.60 49 (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].
% 1.23/1.60 50 (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].
% 1.23/1.60 51 (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].
% 1.23/1.60 52 (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].
% 1.23/1.60 53 (all Ta (hBOOL(wTrt(p,ha,e,ea,Ta)) -> (exists U_2 (hBOOL(wTrt(p,h_a,e,e_a,U_2)) & hBOOL(widen_2090681816t_char(p,U_2,Ta)))))) # label(fact_1__096_B_BT_O_AP_ME_Mh_A_092_060turnstile_062_Ae_A_058_AT_A_061_061_062_AEX) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 54 (all Ta all Ea (hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))) -> (hBOOL(wTrt(p,ha,Ea,ea,Ta)) -> (exists U_2 (hBOOL(wTrt(p,h_a,Ea,e_a,U_2)) & hBOOL(widen_2090681816t_char(p,U_2,Ta))))))) # label(fact_3_IH) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 55 (all Fa all Da all Ta all Pa all Hb all Ea all Eb (hBOOL(wTrt(Pa,Hb,Ea,Eb,nt)) -> hBOOL(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da),Ta)))) # label(fact_6_WTrtFAccNT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 56 (all Ta all Ea (hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))) -> (hBOOL(wTrt(p,ha,Ea,ea,Ta)) -> (exists T_1 (hBOOL(wTrt(p,h_a,Ea,e_a,T_1)) & hBOOL(widen_2090681816t_char(p,T_1,Ta))))))) # label(fact_7_FAssRed1_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 57 (all Fa all Da all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,Fa,Da)),S_1)),red(Pa))))) # label(fact_13_red__reds_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 58 (all Fa all Da all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,Fa,Da,E_2)),S_1)),red(Pa))))) # label(fact_14_red__reds_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 59 (all P_4 all T_8 hBOOL(widen_2090681816t_char(P_4,T_8,T_8))) # label(fact_16_widen__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 60 (all Ea all Ta all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> (hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) -> (hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb)) -> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)))))) # label(fact_17_red__preserves__hconf) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 61 (all Ea all Ta all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> (hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) -> (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)))))) # label(fact_18_red__preserves__lconf) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 62 (all Exp_9 all List1_15 all List2_15 all Exp1_21 all List1_14 all List2_14 all Exp2_21 fAcc_list_char(Exp_9,List1_15,List2_15) != fAss_list_char(Exp1_21,List1_14,List2_14,Exp2_21)) # label(fact_19_exp_Osimps_I154_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 63 (all Exp1_20 all List1_13 all List2_13 all Exp2_20 all Exp_8 all List1_12 all List2_12 fAss_list_char(Exp1_20,List1_13,List2_13,Exp2_20) != fAcc_list_char(Exp_8,List1_12,List2_12)) # label(fact_20_exp_Osimps_I155_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 64 (all Ea all Ta all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> (hBOOL(wTrt(Pa,hp(S),Ea,Eb,Ta)) -> (hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,Ea),S)) -> hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,Ea),S_1)))))) # label(fact_21_red__preserves__sconf) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 65 (all A_6 all B_4 all A_5 all B_3 (hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_6),B_4) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_26_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 66 (all A all B all A_4 all B_2 (hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_27_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 67 (all A_6 all B_4 all A_5 all B_3 (hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_6),B_4) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_28_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 68 (all A_6 all B_4 all A_5 all B_3 (hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_6),B_4) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_29_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 69 (all A_6 all B_4 all A_5 all B_3 (hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_6),B_4) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_30_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 70 (all A all B all A_4 all B_2 (hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_31_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 71 (all A all B all A_4 all B_2 (hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_32_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 72 (all A all B all A_4 all B_2 (hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_33_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 73 (all A all B all A_4 all B_2 (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_34_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 74 (all A all B all A_4 all B_2 (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_35_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 75 (all A all B all A_4 all B_2 (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_36_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 76 (all A all B all A_4 all B_2 (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_37_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 77 (all A all B all A_4 all B_2 (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_38_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 78 (all A_6 all B_4 all A_5 all B_3 (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_6),B_4) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_39_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 79 (all A_6 all B_4 all A_5 all B_3 (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_6),B_4) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_40_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 80 (all A_6 all B_4 all A_5 all B_3 (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_6),B_4) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_41_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 81 (all A all B all A_4 all B_2 (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_4),B_2) -> -(A = A_4 -> B != B_2))) # label(fact_42_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 82 (all A_6 all B_4 all A_5 all B_3 (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_6),B_4) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_5),B_3) -> -(A_6 = A_5 -> B_4 != B_3))) # label(fact_43_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 83 (all A all B all A_4 all B_2 (hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_44_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 84 (all A all B all A_4 all B_2 (hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_45_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 85 (all A all B all A_4 all B_2 (hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_46_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 86 (all A all B all A_4 all B_2 (hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_47_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 87 (all A all B all A_4 all B_2 (hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_48_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 88 (all A all B all A_4 all B_2 (hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_49_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 89 (all A all B all A_4 all B_2 (hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_50_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 90 (all A all B all A_4 all B_2 (hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_51_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 91 (all A all B all A_4 all B_2 (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_52_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 92 (all A all B all A_4 all B_2 (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_53_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 93 (all A all B all A_4 all B_2 (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_54_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 94 (all A all B all A_4 all B_2 (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_55_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 95 (all A all B all A_4 all B_2 (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_56_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 96 (all A all B all A_4 all B_2 (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_57_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 97 (all A all B all A_4 all B_2 (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_58_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 98 (all A all B all A_4 all B_2 (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_59_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 99 (all A all B all A_4 all B_2 (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_60_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 100 (all A all B all A_4 all B_2 (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_4),B_2) <-> A = A_4 & B = B_2)) # label(fact_61_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 101 (all Pa ((all X1 hBOOL(hAPP_P2010574925r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),B_1)))))) # label(fact_62_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 102 (all Pa ((all X1 hBOOL(hAPP_P124632071l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),B_1)))))) # label(fact_63_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 103 (all Pa ((all X1 hBOOL(hAPP_P1183499705r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),B_1)))))) # label(fact_64_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 104 (all Pa ((all X1 hBOOL(hAPP_P1240100515r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),B_1)))))) # label(fact_65_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 105 (all Pa ((all X1 hBOOL(hAPP_P824029447r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),B_1)))))) # label(fact_66_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 106 (all Pa ((all X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),B_1)))))) # label(fact_67_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 107 (all Pa ((all X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),B_1)))))) # label(fact_68_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 108 (all Pa ((all X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),B_1)))))) # label(fact_69_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 109 (all Pa ((all X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)))))) # label(fact_70_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 110 (all Pa ((all X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)))))) # label(fact_71_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 111 (all Pa ((all X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)))))) # label(fact_72_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 112 (all Pa ((all X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)))))) # label(fact_73_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 113 (all Pa ((all X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)))))) # label(fact_74_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 114 (all Pa ((all X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)))))) # label(fact_75_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 115 (all Pa ((all X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)))))) # label(fact_76_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 116 (all Pa ((all X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)))))) # label(fact_77_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 117 (all Pa ((all X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)))))) # label(fact_78_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 118 (all Pa ((all X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (all A_2 all B_1 hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)))))) # label(fact_79_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 119 (all T_7 all P_3 all S_5 all U_1 (hBOOL(widen_2090681816t_char(P_3,S_5,U_1)) -> (hBOOL(widen_2090681816t_char(P_3,U_1,T_7)) -> hBOOL(widen_2090681816t_char(P_3,S_5,T_7))))) # label(fact_80_widen__trans) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 120 (all Exp1_15 all List1_11 all List2_11 all Exp2_15 all Exp1_14 all List1_10 all List2_10 all Exp2_14 (fAss_list_char(Exp1_15,List1_11,List2_11,Exp2_15) = fAss_list_char(Exp1_14,List1_10,List2_10,Exp2_14) <-> Exp1_15 = Exp1_14 & List1_11 = List1_10 & List2_11 = List2_10 & Exp2_15 = Exp2_14)) # label(fact_81_exp_Osimps_I8_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 121 (all Exp_3 all List1_11 all List2_11 all Exp_2 all List1_10 all List2_10 (fAcc_list_char(Exp_3,List1_11,List2_11) = fAcc_list_char(Exp_2,List1_10,List2_10) <-> Exp_3 = Exp_2 & List1_11 = List1_10 & List2_11 = List2_10)) # label(fact_82_exp_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 122 (all Fa all Da all E_2 all T_2_1 all Pa all Hb all Ea all E_1 (hBOOL(wTrt(Pa,Hb,Ea,E_1,nt)) -> (hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_1)) -> hBOOL(wTrt(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2),void))))) # label(fact_83_WTrtFAssNT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 123 (all Y_2 -(all A_2 all B_1 all C_3 all D all E_4 Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_3),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D),E_4)))))) # label(fact_84_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 124 (all Y_2 -(all A_2 all B_1 all C_3 all D all E_4 Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_3),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D),E_4)))))) # label(fact_85_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 125 (all Y_5 -(all A_2 all B_1 all C_3 all D all E_4 Y_5 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_3),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D),E_4)))))) # label(fact_86_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 126 (all X all Pa ((all A_2 all B_1 all C_3 all D all E_4 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_3),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D),E_4))))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X)))) # label(fact_87_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 127 (all X all Pa ((all A_2 all B_1 all C_3 all D all E_4 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_3),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D),E_4))))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X)))) # label(fact_88_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 128 (all X all Pa ((all A_2 all B_1 all C_3 all D all E_4 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_3),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D),E_4))))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X)))) # label(fact_89_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 129 (all Y_2 -(all A_2 all B_1 all C_3 all D Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_3),D))))) # label(fact_90_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 130 (all Y_2 -(all A_2 all B_1 all C_3 all D Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_3),D))))) # label(fact_91_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 131 (all Y_4 -(all A_2 all B_1 all C_3 all D Y_4 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_3),D))))) # label(fact_92_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 132 (all Y_2 -(all A_2 all B_1 all C_3 all D Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_3),D))))) # label(fact_93_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 133 (all Y_2 -(all A_2 all B_1 all C_3 all D Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_3),D))))) # label(fact_94_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 134 (all Y_4 -(all A_2 all B_1 all C_3 all D Y_4 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_3),D))))) # label(fact_95_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 135 (all Y_4 -(all A_2 all B_1 all C_3 all D Y_4 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_3),D))))) # label(fact_96_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 136 (all X all Pa ((all A_2 all B_1 all C_3 all D hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_3),D)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X)))) # label(fact_97_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 137 (all X all Pa ((all A_2 all B_1 all C_3 all D hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_3),D)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X)))) # label(fact_98_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 138 (all X all Pa ((all A_2 all B_1 all C_3 all D hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_3),D)))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X)))) # label(fact_99_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 139 (all X all Pa ((all A_2 all B_1 all C_3 all D hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_3),D)))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X)))) # label(fact_100_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 140 (all X all Pa ((all A_2 all B_1 all C_3 all D hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_3),D)))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X)))) # label(fact_101_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 141 (all X all Pa ((all A_2 all B_1 all C_3 all D hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_3),D)))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X)))) # label(fact_102_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 142 (all X all Pa ((all A_2 all B_1 all C_3 all D hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_3),D)))))) -> hBOOL(hAPP_P1240100515r_bool(Pa,X)))) # label(fact_103_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 143 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_3)))) # label(fact_104_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 144 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_3)))) # label(fact_105_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 145 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_3)))) # label(fact_106_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 146 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_3)))) # label(fact_107_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 147 (all Y_3 -(all A_2 all B_1 all C_3 Y_3 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_3)))) # label(fact_108_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 148 (all Y_3 -(all A_2 all B_1 all C_3 Y_3 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_3)))) # label(fact_109_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 149 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_3)))) # label(fact_110_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 150 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_3)))) # label(fact_111_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 151 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_3)))) # label(fact_112_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 152 (all Y_3 -(all A_2 all B_1 all C_3 Y_3 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_3)))) # label(fact_113_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 153 (all Y_3 -(all A_2 all B_1 all C_3 Y_3 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_3)))) # label(fact_114_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 154 (all Y_3 -(all A_2 all B_1 all C_3 Y_3 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_3)))) # label(fact_115_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 155 (all Y_2 -(all A_2 all B_1 all C_3 Y_2 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_3)))) # label(fact_116_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 156 (all Y_3 -(all A_2 all B_1 all C_3 Y_3 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_3)))) # label(fact_117_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 157 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_3))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X)))) # label(fact_118_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 158 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_3))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,X)))) # label(fact_119_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 159 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_3))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X)))) # label(fact_120_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 160 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_3))))) -> hBOOL(hAPP_P71593144l_bool(Pa,X)))) # label(fact_121_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 161 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_3))))) -> hBOOL(hAPP_P92196306r_bool(Pa,X)))) # label(fact_122_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 162 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_3))))) -> hBOOL(hAPP_P1907982426r_bool(Pa,X)))) # label(fact_123_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 163 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_3))))) -> hBOOL(hAPP_P1221872711l_bool(Pa,X)))) # label(fact_124_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 164 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_3))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X)))) # label(fact_125_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 165 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_3))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X)))) # label(fact_126_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 166 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_3))))) -> hBOOL(hAPP_P824029447r_bool(Pa,X)))) # label(fact_127_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 167 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_3))))) -> hBOOL(hAPP_P1240100515r_bool(Pa,X)))) # label(fact_128_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 168 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_3))))) -> hBOOL(hAPP_P1183499705r_bool(Pa,X)))) # label(fact_129_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 169 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_3))))) -> hBOOL(hAPP_P124632071l_bool(Pa,X)))) # label(fact_130_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 170 (all X all Pa ((all A_2 all B_1 all C_3 hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_3))))) -> hBOOL(hAPP_P2010574925r_bool(Pa,X)))) # label(fact_131_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 171 (all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> hBOOL(hext(Hb,H_b)))) # label(fact_132_red__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 172 (all L_0 all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b)))),red(Pa))))) # label(fact_133_red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 173 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),B_1))) # label(fact_134_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 174 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),B_1))) # label(fact_135_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 175 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),B_1))) # label(fact_136_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 176 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),B_1))) # label(fact_137_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 177 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),B_1))) # label(fact_138_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 178 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),B_1))) # label(fact_139_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 179 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),B_1))) # label(fact_140_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 180 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),B_1))) # label(fact_141_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 181 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1))) # label(fact_142_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 182 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1))) # label(fact_143_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 183 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1))) # label(fact_144_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 184 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1))) # label(fact_145_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 185 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1))) # label(fact_146_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 186 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1))) # label(fact_147_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 187 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1))) # label(fact_148_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 188 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1))) # label(fact_149_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.60 189 (all Y_2 -(all A_2 all B_1 Y_2 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1))) # label(fact_150_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 190 (all Y_1 -(all A_2 all B_1 Y_1 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1))) # label(fact_151_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 191 (all P_2 -(all X_1 all Y P_2 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Y))) # label(fact_152_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 192 (all P_1 -(all X_1 all Y P_1 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Y))) # label(fact_153_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 193 (all P_2 -(all X_1 all Y P_2 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Y))) # label(fact_154_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 194 (all P_2 -(all X_1 all Y P_2 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Y))) # label(fact_155_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 195 (all P_2 -(all X_1 all Y P_2 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Y))) # label(fact_156_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 196 (all P_1 -(all X_1 all Y P_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Y))) # label(fact_157_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 197 (all P_1 -(all X_1 all Y P_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Y))) # label(fact_158_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 198 (all P_1 -(all X_1 all Y P_1 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Y))) # label(fact_159_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 199 (all P_1 -(all X_1 all Y P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y))) # label(fact_160_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 200 (all P_1 -(all X_1 all Y P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y))) # label(fact_161_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 201 (all P_1 -(all X_1 all Y P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y))) # label(fact_162_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 202 (all P_1 -(all X_1 all Y P_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y))) # label(fact_163_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 203 (all P_1 -(all X_1 all Y P_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y))) # label(fact_164_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 204 (all P_2 -(all X_1 all Y P_2 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y))) # label(fact_165_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 205 (all P_2 -(all X_1 all Y P_2 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y))) # label(fact_166_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 206 (all P_2 -(all X_1 all Y P_2 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y))) # label(fact_167_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 207 (all P_1 -(all X_1 all Y P_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y))) # label(fact_168_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 208 (all P_2 -(all X_1 all Y P_2 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y))) # label(fact_169_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 209 (all H_b all Pa all Hb all Ea all Eb all Ta (hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) -> (hBOOL(hext(Hb,H_b)) -> hBOOL(wTrt(Pa,H_b,Ea,Eb,Ta))))) # label(fact_170_WTrt__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 210 (all Hb hBOOL(hext(Hb,Hb))) # label(fact_171_hext__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 211 (all H_b all Pa all Hb all Lb all Ea (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) -> (hBOOL(hext(Hb,H_b)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),Lb),Ea))))) # label(fact_172_lconf__hext) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 212 (all L_0 all Eb all Hb all Lb all E_b all H_b all L_b all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b)))),transi2024712006on_val(red(Pa)))))) # label(fact_173_Red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 213 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Xa),R_2)) <-> hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_174_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 214 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Xa),R_2)) <-> hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_175_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 215 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Xa),R_2)) <-> hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_176_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 216 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Xa),R_2)) <-> hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_177_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 217 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Xa),R_2)) <-> hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_178_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 218 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Xa),R_2)) <-> hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_179_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 219 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Xa),R_2)) <-> hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_180_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 220 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Xa),R_2)) <-> hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_181_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 221 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa),R_2)) <-> hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_182_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 222 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa),R_2)) <-> hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_183_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 223 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1972431429on_val(hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa),R_2)) <-> hBOOL(member1972431429on_val(hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_184_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 224 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member133545693t_char(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa),R_2)) <-> hBOOL(member133545693t_char(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_185_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 225 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member140606439t_char(hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa),R_2)) <-> hBOOL(member140606439t_char(hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_186_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 226 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member699351154t_char(hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa),R_2)) <-> hBOOL(member699351154t_char(hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_187_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 227 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1542417277on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa),R_2)) <-> hBOOL(member1542417277on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_188_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 228 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa),R_2)) <-> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_189_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 229 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa),R_2)) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_190_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 230 (all S_4 all R_2 ((all X_1 all Xa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa),R_2)) <-> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa),S_4)))) <-> R_2 = S_4)) # label(fact_191_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 231 (all Pa ((exists X1 hBOOL(hAPP_P2010574925r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),B_1)))))) # label(fact_192_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 232 (all Pa ((exists X1 hBOOL(hAPP_P124632071l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),B_1)))))) # label(fact_193_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 233 (all Pa ((exists X1 hBOOL(hAPP_P1183499705r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),B_1)))))) # label(fact_194_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 234 (all Pa ((exists X1 hBOOL(hAPP_P1240100515r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),B_1)))))) # label(fact_195_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 235 (all Pa ((exists X1 hBOOL(hAPP_P824029447r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),B_1)))))) # label(fact_196_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 236 (all Pa ((exists X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),B_1)))))) # label(fact_197_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 237 (all Pa ((exists X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),B_1)))))) # label(fact_198_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 238 (all Pa ((exists X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),B_1)))))) # label(fact_199_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 239 (all Pa ((exists X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)))))) # label(fact_200_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 240 (all Pa ((exists X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)))))) # label(fact_201_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 241 (all Pa ((exists X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)))))) # label(fact_202_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 242 (all Pa ((exists X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)))))) # label(fact_203_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 243 (all Pa ((exists X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)))))) # label(fact_204_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 244 (all Pa ((exists X1 hBOOL(hAPP_P92196306r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)))))) # label(fact_205_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 245 (all Pa ((exists X1 hBOOL(hAPP_P1907982426r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)))))) # label(fact_206_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 246 (all Pa ((exists X1 hBOOL(hAPP_P2118621157r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)))))) # label(fact_207_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 247 (all Pa ((exists X1 hBOOL(hAPP_P1235399154l_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)))))) # label(fact_208_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 248 (all Pa ((exists X1 hBOOL(hAPP_P449474095r_bool(Pa,X1))) <-> (exists A_2 exists B_1 hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)))))) # label(fact_209_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 249 (all C_1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,C_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) <-> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,A),B)))) # label(fact_210_internal__split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 250 (all C_1 all Ta all Pa all Hb all Ea all Eb (hBOOL(wTrt(Pa,Hb,Ea,Eb,boolean)) -> (hBOOL(wTrt(Pa,Hb,Ea,C_1,Ta)) -> hBOOL(wTrt(Pa,Hb,Ea,while_list_char(Eb,C_1),void))))) # label(fact_211_WTrtWhile) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 251 (all Pa all Ea all S (hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,Ea),S)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S)))) # label(fact_212_sconf__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 252 (all Ta all E_2 all T_2_1 all E_1 all T_1_1 all Pa all Hb all Ea all Eb (hBOOL(wTrt(Pa,Hb,Ea,Eb,boolean)) -> (hBOOL(wTrt(Pa,Hb,Ea,E_1,T_1_1)) -> (hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_1)) -> (hBOOL(widen_2090681816t_char(Pa,T_1_1,T_2_1)) | hBOOL(widen_2090681816t_char(Pa,T_2_1,T_1_1)) -> ((hBOOL(widen_2090681816t_char(Pa,T_1_1,T_2_1)) -> Ta = T_2_1) -> ((hBOOL(widen_2090681816t_char(Pa,T_2_1,T_1_1)) -> Ta = T_1_1) -> hBOOL(wTrt(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2),Ta))))))))) # label(fact_213_WTrtCond) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 253 (all F1 all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(F1,A),B)) -> hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,F1),hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B))))) # label(fact_214_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 254 (all F1 all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(F1,A),B)) -> hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,F1),hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B))))) # label(fact_215_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 255 (all F1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(F1,A),B)) -> hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,F1),hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B))))) # label(fact_216_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 256 (all F1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(F1,A),B)) -> hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,F1),hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B))))) # label(fact_217_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 257 (all F1 all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(F1,A),B)) -> hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,F1),hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B))))) # label(fact_218_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 258 (all F1 all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(F1,A),B)) -> hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,F1),hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B))))) # label(fact_219_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 259 (all F1 all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(F1,A),B)) -> hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,F1),hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B))))) # label(fact_220_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 260 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(F1,A),B)) -> hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,F1),hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B))))) # label(fact_221_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 261 (all F1 all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)) -> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))))) # label(fact_222_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 262 (all F1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A),B)) -> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))))) # label(fact_223_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 263 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A),B)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))))) # label(fact_224_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 264 (all F1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F1,A),B)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))))) # label(fact_225_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 265 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F1,A),B)) -> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))))) # label(fact_226_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 266 (all F1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F1,A),B)) -> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))))) # label(fact_227_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 267 (all F1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F1,A),B)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))))) # label(fact_228_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 268 (all F1 all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F1,A),B)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))))) # label(fact_229_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 269 (all F1 all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F1,A),B)) -> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))))) # label(fact_230_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 270 (all F1 all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F1,A),B)) -> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))))) # label(fact_231_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 271 (all F all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(F,A),B)) -> hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,F),hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B))))) # label(fact_232_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 272 (all F all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(F,A),B)) -> hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,F),hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B))))) # label(fact_233_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 273 (all F all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(F,A),B)) -> hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,F),hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B))))) # label(fact_234_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 274 (all F all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(F,A),B)) -> hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,F),hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B))))) # label(fact_235_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 275 (all F all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(F,A),B)) -> hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,F),hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B))))) # label(fact_236_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 276 (all F all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(F,A),B)) -> hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,F),hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B))))) # label(fact_237_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 277 (all F all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(F,A),B)) -> hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,F),hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B))))) # label(fact_238_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 278 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(F,A),B)) -> hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,F),hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B))))) # label(fact_239_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 279 (all F all A all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)) -> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))))) # label(fact_240_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 280 (all F all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A),B)) -> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))))) # label(fact_241_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 281 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A),B)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))))) # label(fact_242_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 282 (all F all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F,A),B)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))))) # label(fact_243_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 283 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F,A),B)) -> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))))) # label(fact_244_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 284 (all F all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F,A),B)) -> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))))) # label(fact_245_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 285 (all F all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F,A),B)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))))) # label(fact_246_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 286 (all F all A all B (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F,A),B)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))))) # label(fact_247_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 287 (all F all A all B (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F,A),B)) -> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))))) # label(fact_248_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 288 (all F all A all B (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F,A),B)) -> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))))) # label(fact_249_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 289 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,hAPP_f1818217r_bool(hAPP_f336522659r_bool(cOMBB_1033454012t_char,hAPP_f1861125939r_bool(cOMBB_1091123364t_char,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,Q_1),X_1)))) # label(fact_250_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 290 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,hAPP_f624730965l_bool(hAPP_f1399435963l_bool(cOMBB_73690268t_char,hAPP_f10956301l_bool(cOMBB_1572981887on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,Q_1),X_1)))) # label(fact_251_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 291 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,hAPP_f777111705r_bool(hAPP_f1334304147r_bool(cOMBB_137522603st_val,hAPP_f1593659251r_bool(cOMBB_1373881771t_char,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,Q_1),X_1)))) # label(fact_252_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 292 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,hAPP_f113541543r_bool(hAPP_f897748257r_bool(cOMBB_972090594ist_ty,hAPP_f2067364339r_bool(cOMBB_455741289t_char,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,Q_1),X_1)))) # label(fact_253_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 293 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,hAPP_f177037909r_bool(hAPP_f146587157r_bool(cOMBB_1310111461t_char,hAPP_f1897969075r_bool(cOMBB_224920158t_char,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,Q_1),X_1)))) # label(fact_254_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 294 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,hAPP_f1212701859l_bool(hAPP_f95792151l_bool(cOMBB_1638169504t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,Q_1),X_1)))) # label(fact_255_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 295 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,hAPP_f855183977l_bool(hAPP_f1219198883l_bool(cOMBB_2073500116on_val,hAPP_f1359168307l_bool(cOMBB_506101180on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,Q_1),X_1)))) # label(fact_256_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 296 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,hAPP_f1308714617l_bool(cOMBB_338347573on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,Q_1),X_1)))) # label(fact_257_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 297 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,hAPP_f1560238713l_bool(cOMBB_672625589on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,Q_1),X_1)))) # label(fact_258_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 298 (all Pa all Q_1 all X_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) <-> hBOOL(Pa) & hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X_1)))) # label(fact_259_split__part) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 299 (all Exp1_19 all Exp2_19 all Exp1_18 all Exp2_18 all Exp3_7 while_list_char(Exp1_19,Exp2_19) != cond_list_char(Exp1_18,Exp2_18,Exp3_7)) # label(fact_260_exp_Osimps_I215_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 300 (all Exp1_17 all Exp2_17 all Exp3_6 all Exp1_16 all Exp2_16 cond_list_char(Exp1_17,Exp2_17,Exp3_6) != while_list_char(Exp1_16,Exp2_16)) # label(fact_261_exp_Osimps_I214_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 301 (all Exp1_15 all Exp2_15 all Exp1_14 all Exp2_14 (while_list_char(Exp1_15,Exp2_15) = while_list_char(Exp1_14,Exp2_14) <-> Exp1_15 = Exp1_14 & Exp2_15 = Exp2_14)) # label(fact_262_exp_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 302 (all Exp1_15 all Exp2_15 all Exp3_5 all Exp1_14 all Exp2_14 all Exp3_4 (cond_list_char(Exp1_15,Exp2_15,Exp3_5) = cond_list_char(Exp1_14,Exp2_14,Exp3_4) <-> Exp1_15 = Exp1_14 & Exp2_15 = Exp2_14 & Exp3_5 = Exp3_4)) # label(fact_263_exp_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 303 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1)) <-> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),Q_2))))) # label(fact_274_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 304 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1)) <-> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),Q_2))))) # label(fact_275_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 305 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1)) <-> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),Q_2))))) # label(fact_276_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 306 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1)) <-> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),Q_2))))) # label(fact_277_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 307 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1)) <-> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),Q_2))))) # label(fact_278_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 308 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1)) <-> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),Q_2))))) # label(fact_279_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 309 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1)) <-> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),Q_2))))) # label(fact_280_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 310 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1)) <-> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),Q_2))))) # label(fact_281_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 311 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1)) <-> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),Q_2))))) # label(fact_282_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 312 (all C_1 all P_1 all Q_2 (P_1 = Q_2 -> (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),Q_2))))) # label(fact_283_split__weak__cong) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 313 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1883022279on_val(hAPP_f48091733on_val(produc457808617on_val,G),P_1))) <-> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,hAPP_f1056413453r_bool(hAPP_f26812903r_bool(cOMBB_1271765500t_char,hAPP_f1683814075r_bool(cOMBB_315503848t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_284_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 314 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1066308164on_val(hAPP_f372404869on_val(produc636580408on_val,G),P_1))) <-> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,hAPP_f1440866903l_bool(hAPP_f1138830003l_bool(cOMBB_97313278t_char,hAPP_f1508793015l_bool(cOMBB_486278459on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_285_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 315 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P214139537on_val(hAPP_f1679543815on_val(produc2083294131on_val,G),P_1))) <-> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,hAPP_f1339377933r_bool(hAPP_f1165187701r_bool(cOMBB_1124198201st_val,hAPP_f106757449r_bool(cOMBB_1539035119t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_286_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 316 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P216502748on_val(hAPP_f505735499on_val(produc534648062on_val,G),P_1))) <-> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,hAPP_f1944156365r_bool(hAPP_f918235057r_bool(cOMBB_1843549548ist_ty,hAPP_f1346522053r_bool(cOMBB_1115744685t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_287_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 317 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P94592612on_val(hAPP_f2030092415on_val(produc726497362on_val,G),P_1))) <-> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,hAPP_f829041291r_bool(hAPP_f1691034591r_bool(cOMBB_889837233t_char,hAPP_f1096084527r_bool(cOMBB_1980206754t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_288_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 318 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1892658174on_val(hAPP_f797861231on_val(produc1450794278on_val,G),P_1))) <-> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,hAPP_f896993613l_bool(hAPP_f219814819l_bool(cOMBB_143000234t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_289_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 319 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P931655063on_val(hAPP_f599509029on_val(produc653117369on_val,G),P_1))) <-> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,hAPP_f1909521165l_bool(hAPP_f1779944471l_bool(cOMBB_607314500on_val,hAPP_f2131288811l_bool(cOMBB_1173566976on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_290_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 320 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,G),P_1))) <-> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_291_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 321 (all F all G all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,G),P_1))) <-> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)))) # label(fact_292_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 322 (all F all G all P_1 (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_P193916115t_char(hAPP_f15579599t_char(produc576623071t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1996106275l_bool(hAPP_f1550515381l_bool(cOMBB_2040779506on_val,hAPP_f1804599279l_bool(cOMBB_678146046on_val,hAPP_f2132060507r_bool(produc1704639885r_bool,F))),G)),P_1)))) # label(fact_293_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 323 (all F all G all P_1 (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_P1936714534on_val(hAPP_f1271281289on_val(produc928527642on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1145600492l_bool(hAPP_f630712985l_bool(cOMBB_1962662865on_val,hAPP_f2020099865l_bool(cOMBB_1543649755on_val,hAPP_f1443410953l_bool(produc392960766l_bool,F))),G)),P_1)))) # label(fact_294_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 324 (all F all G all P_1 (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_P1871645065t_char(hAPP_f2116844091t_char(produc1139048085t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1576637933l_bool(hAPP_f154583625l_bool(cOMBB_335252392on_val,hAPP_f737797743l_bool(cOMBB_1733006024on_val,hAPP_f1697332217r_bool(produc21910851r_bool,F))),G)),P_1)))) # label(fact_295_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 325 (all F all G all P_1 (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P616991870t_char(hAPP_f1401070501t_char(produc493500298t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1121261496l_bool(hAPP_f1331093087l_bool(cOMBB_1472123293on_val,hAPP_f962366127l_bool(cOMBB_95569939on_val,hAPP_f102021095r_bool(produc154616760r_bool,F))),G)),P_1)))) # label(fact_296_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 326 (all F all G all P_1 (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P1849522950t_char(hAPP_f314126729t_char(produc1597824762t_char,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1089411340l_bool(hAPP_f2012169497l_bool(cOMBB_1443356337on_val,hAPP_f764883801l_bool(cOMBB_1837440507on_val,hAPP_f1613448899r_bool(produc2027921764r_bool,F))),G)),P_1)))) # label(fact_297_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 327 (all F all G all P_1 (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_f1027788897on_val(produc1202869992on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f556306650l_bool(hAPP_f1538372259l_bool(cOMBB_157777659on_val,hAPP_f1000925999l_bool(cOMBB_1466435125on_val,hAPP_f1634841927l_bool(produc1491230096l_bool,F))),G)),P_1)))) # label(fact_298_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 328 (all F all G all P_1 (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P963849987on_val(hAPP_f1239545903on_val(produc1476705295on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1505175539l_bool(hAPP_f924423253l_bool(cOMBB_1330725154on_val,hAPP_f28987375l_bool(cOMBB_132741582on_val,hAPP_f1525114763l_bool(produc70644925l_bool,F))),G)),P_1)))) # label(fact_299_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 329 (all F all G all P_1 (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,F))),G)),P_1)))) # label(fact_300_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 330 (all F all G all P_1 (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,G),P_1))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,F))),G)),P_1)))) # label(fact_301_split__twice) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 331 (all F all A all B (hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,F),hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B))) -> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(F,A),B)))) # label(fact_302_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 332 (all F all A all B (hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,F),hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B))) -> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(F,A),B)))) # label(fact_303_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 333 (all F all A all B (hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,F),hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(F,A),B)))) # label(fact_304_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 334 (all F all A all B (hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,F),hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(F,A),B)))) # label(fact_305_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 335 (all F all A all B (hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,F),hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B))) -> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(F,A),B)))) # label(fact_306_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 336 (all F all A all B (hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,F),hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(F,A),B)))) # label(fact_307_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 337 (all F all A all B (hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,F),hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B))) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(F,A),B)))) # label(fact_308_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 338 (all F all A all B (hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,F),hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(F,A),B)))) # label(fact_309_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 339 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)))) # label(fact_310_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 340 (all F all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A),B)))) # label(fact_311_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 341 (all F all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A),B)))) # label(fact_312_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 342 (all F all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F,A),B)))) # label(fact_313_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 343 (all F all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F,A),B)))) # label(fact_314_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 344 (all F all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F,A),B)))) # label(fact_315_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 345 (all F all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F,A),B)))) # label(fact_316_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 346 (all F all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F,A),B)))) # label(fact_317_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 347 (all F all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F,A),B)))) # label(fact_318_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 348 (all F all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F,A),B)))) # label(fact_319_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 349 (all F1 all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) <-> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)))) # label(fact_320_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 350 (all F1 all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) <-> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A),B)))) # label(fact_321_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 351 (all F1 all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A),B)))) # label(fact_322_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 352 (all F1 all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) <-> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F1,A),B)))) # label(fact_323_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 353 (all F1 all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F1,A),B)))) # label(fact_324_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 354 (all F1 all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) <-> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F1,A),B)))) # label(fact_325_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 355 (all F1 all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) <-> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F1,A),B)))) # label(fact_326_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 356 (all F1 all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) <-> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F1,A),B)))) # label(fact_327_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 357 (all F1 all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) <-> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F1,A),B)))) # label(fact_328_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 358 (all F1 all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) <-> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F1,A),B)))) # label(fact_329_prod_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 359 (all F all A all B (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) <-> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)))) # label(fact_330_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 360 (all F all A all B (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) <-> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A),B)))) # label(fact_331_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 361 (all F all A all B (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A),B)))) # label(fact_332_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 362 (all F all A all B (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) <-> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F,A),B)))) # label(fact_333_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 363 (all F all A all B (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) <-> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F,A),B)))) # label(fact_334_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 364 (all F all A all B (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) <-> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F,A),B)))) # label(fact_335_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 365 (all F all A all B (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) <-> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F,A),B)))) # label(fact_336_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 366 (all F all A all B (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) <-> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F,A),B)))) # label(fact_337_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 367 (all F all A all B (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) <-> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F,A),B)))) # label(fact_338_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 368 (all F all A all B (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) <-> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F,A),B)))) # label(fact_339_split__conv) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 369 (all X all A_3 (hBOOL(member1251428284t_char(X,A_3)) <-> hBOOL(hAPP_P449474095r_bool(A_3,X)))) # label(fact_340_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 370 (all X all A_3 (hBOOL(member794220506t_char(X,A_3)) <-> hBOOL(hAPP_P2010574925r_bool(A_3,X)))) # label(fact_341_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 371 (all X all A_3 (hBOOL(member1322055188on_val(X,A_3)) <-> hBOOL(hAPP_P124632071l_bool(A_3,X)))) # label(fact_342_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 372 (all X all A_3 (hBOOL(member1161907014t_char(X,A_3)) <-> hBOOL(hAPP_P1183499705r_bool(A_3,X)))) # label(fact_343_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 373 (all X all A_3 (hBOOL(member125098544t_char(X,A_3)) <-> hBOOL(hAPP_P1240100515r_bool(A_3,X)))) # label(fact_344_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 374 (all X all A_3 (hBOOL(member1420286996t_char(X,A_3)) <-> hBOOL(hAPP_P824029447r_bool(A_3,X)))) # label(fact_345_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 375 (all X all A_3 (hBOOL(member88670778on_val(X,A_3)) <-> hBOOL(hAPP_P2028072621l_bool(A_3,X)))) # label(fact_346_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 376 (all X all A_3 (hBOOL(member808015754on_val(X,A_3)) <-> hBOOL(hAPP_P378063101l_bool(A_3,X)))) # label(fact_347_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 377 (all X all A_3 (hBOOL(member563141460on_val(X,A_3)) <-> hBOOL(hAPP_P1221872711l_bool(A_3,X)))) # label(fact_348_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 378 (all X all A_3 (hBOOL(member1542417277on_val(X,A_3)) <-> hBOOL(hAPP_P1235399154l_bool(A_3,X)))) # label(fact_349_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 379 (all X all A_3 (hBOOL(member699351154t_char(X,A_3)) <-> hBOOL(hAPP_P2118621157r_bool(A_3,X)))) # label(fact_350_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 380 (all X all A_3 (hBOOL(member140606439t_char(X,A_3)) <-> hBOOL(hAPP_P1907982426r_bool(A_3,X)))) # label(fact_351_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 381 (all X all A_3 (hBOOL(member133545693t_char(X,A_3)) <-> hBOOL(hAPP_P92196306r_bool(A_3,X)))) # label(fact_352_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 382 (all X all A_3 (hBOOL(member1972431429on_val(X,A_3)) <-> hBOOL(hAPP_P71593144l_bool(A_3,X)))) # label(fact_353_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 383 (all X all A_3 (hBOOL(member840932460on_val(X,A_3)) <-> hBOOL(hAPP_P1708370145l_bool(A_3,X)))) # label(fact_354_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 384 (all X all A_3 (hBOOL(member763590124on_val(X,A_3)) <-> hBOOL(hAPP_P159683425l_bool(A_3,X)))) # label(fact_355_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 385 (all X all A_3 (hBOOL(member773094996on_val(X,A_3)) <-> hBOOL(hAPP_P282169671l_bool(A_3,X)))) # label(fact_356_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 386 (all X all A_3 (hBOOL(member875476972on_val(X,A_3)) <-> hBOOL(hAPP_P1333315679l_bool(A_3,X)))) # label(fact_357_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 387 (all Exp1_13 all List1_9 all List2_9 all Exp2_13 all Exp1_12 all Exp2_12 all Exp3_3 fAss_list_char(Exp1_13,List1_9,List2_9,Exp2_13) != cond_list_char(Exp1_12,Exp2_12,Exp3_3)) # label(fact_358_exp_Osimps_I176_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 388 (all Exp1_11 all List1_8 all List2_8 all Exp2_11 all Exp1_10 all Exp2_10 fAss_list_char(Exp1_11,List1_8,List2_8,Exp2_11) != while_list_char(Exp1_10,Exp2_10)) # label(fact_359_exp_Osimps_I178_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 389 (all Exp1_9 all Exp2_9 all Exp3_2 all Exp1_8 all List1_7 all List2_7 all Exp2_8 cond_list_char(Exp1_9,Exp2_9,Exp3_2) != fAss_list_char(Exp1_8,List1_7,List2_7,Exp2_8)) # label(fact_360_exp_Osimps_I177_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 390 (all Exp1_7 all Exp2_7 all Exp1_6 all List1_6 all List2_6 all Exp2_6 while_list_char(Exp1_7,Exp2_7) != fAss_list_char(Exp1_6,List1_6,List2_6,Exp2_6)) # label(fact_361_exp_Osimps_I179_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 391 (all Exp_7 all List1_5 all List2_5 all Exp1_5 all Exp2_5 all Exp3_1 fAcc_list_char(Exp_7,List1_5,List2_5) != cond_list_char(Exp1_5,Exp2_5,Exp3_1)) # label(fact_362_exp_Osimps_I162_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 392 (all Exp1_4 all Exp2_4 all Exp3 all Exp_6 all List1_4 all List2_4 cond_list_char(Exp1_4,Exp2_4,Exp3) != fAcc_list_char(Exp_6,List1_4,List2_4)) # label(fact_363_exp_Osimps_I163_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.61 393 (all Exp_5 all List1_3 all List2_3 all Exp1_3 all Exp2_3 fAcc_list_char(Exp_5,List1_3,List2_3) != while_list_char(Exp1_3,Exp2_3)) # label(fact_364_exp_Osimps_I164_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 394 (all Exp1_2 all Exp2_2 all Exp_4 all List1_2 all List2_2 while_list_char(Exp1_2,Exp2_2) != fAcc_list_char(Exp_4,List1_2,List2_2)) # label(fact_365_exp_Osimps_I165_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 395 (all F hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F)),produc899768717on_val)) = F) # label(fact_366_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 396 (all F hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,hAPP_f365540729l_bool(cOMBB_1466662571on_val,F)),produc1441475159on_val)) = F) # label(fact_367_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 397 (all F hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,hAPP_f10074679l_bool(cOMBB_1759207793on_val,F)),produc1259058957on_val)) = F) # label(fact_368_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 398 (all F hAPP_f1525114763l_bool(produc70644925l_bool,hAPP_f1255886347l_bool(hAPP_f2063458791l_bool(cOMBB_1068689586on_val,hAPP_f757259503l_bool(cOMBB_256117342on_val,F)),produc1611380469on_val)) = F) # label(fact_369_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 399 (all F hAPP_f1634841927l_bool(produc1491230096l_bool,hAPP_f1455553822l_bool(hAPP_f1060117847l_bool(cOMBB_298947045t_char,hAPP_f1121083449l_bool(cOMBB_1085967610on_val,F)),produc379668296on_val)) = F) # label(fact_370_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 400 (all F hAPP_f1613448899r_bool(produc2027921764r_bool,hAPP_f459877466r_bool(hAPP_f2039744637r_bool(cOMBB_580983202t_char,hAPP_f1090377327r_bool(cOMBB_2081530643t_char,F)),produc921874948t_char)) = F) # label(fact_371_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 401 (all F hAPP_f102021095r_bool(produc154616760r_bool,hAPP_f1371969732r_bool(hAPP_f770993243r_bool(cOMBB_847301125ist_ty,hAPP_f968085945r_bool(cOMBB_865194374t_char,F)),produc1909267824t_char)) = F) # label(fact_372_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 402 (all F hAPP_f1697332217r_bool(produc21910851r_bool,hAPP_f1345728193r_bool(hAPP_f166702051r_bool(cOMBB_698101635st_val,hAPP_f1672439075r_bool(cOMBB_215184339t_char,F)),produc1916172923t_char)) = F) # label(fact_373_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 403 (all F hAPP_f1443410953l_bool(produc392960766l_bool,hAPP_f21084934l_bool(hAPP_f1136596083l_bool(cOMBB_1895512847t_char,hAPP_f1046102489l_bool(cOMBB_572737002on_val,F)),produc823076510on_val)) = F) # label(fact_374_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 404 (all F hAPP_f2132060507r_bool(produc1704639885r_bool,hAPP_f1633332187r_bool(hAPP_f737710471r_bool(cOMBB_507649738t_char,hAPP_f775361359r_bool(cOMBB_1749175574t_char,F)),produc5062597t_char)) = F) # label(fact_375_split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 405 (all E_1 all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1,E_2)),S_1)),red(Pa))))) # label(fact_376_red__reds_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 406 (all H all Hb all H_b (hBOOL(hext(Hb,H_b)) -> (hBOOL(hext(H_b,H)) -> hBOOL(hext(Hb,H))))) # label(fact_377_hext__trans) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 407 (all Pa all Hb all Ea all Eb all C_1 all Ta (hBOOL(wTrt(Pa,Hb,Ea,while_list_char(Eb,C_1),Ta)) -> -(Ta = void -> (hBOOL(wTrt(Pa,Hb,Ea,Eb,boolean)) -> (all T -hBOOL(wTrt(Pa,Hb,Ea,C_1,T))))))) # label(fact_378_WTrt__elim__cases_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 408 (all Pa all Hb all Ea all Eb all E_1 all E_2 all Ta (hBOOL(wTrt(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2),Ta)) -> -(hBOOL(wTrt(Pa,Hb,Ea,Eb,boolean)) -> (all T_1_2 (hBOOL(wTrt(Pa,Hb,Ea,E_1,T_1_2)) -> (all T_2_2 (hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2)) -> (hBOOL(widen_2090681816t_char(Pa,T_1_2,T_2_2)) | hBOOL(widen_2090681816t_char(Pa,T_2_2,T_1_2)) -> ((hBOOL(widen_2090681816t_char(Pa,T_1_2,T_2_2)) -> Ta = T_2_2) -> -(hBOOL(widen_2090681816t_char(Pa,T_2_2,T_1_2)) -> Ta = T_1_2)))))))))) # label(fact_379_WTrt__elim__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 409 (all C_1 all P_1 (hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Y) -> -hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(C_1,X_1),Y)))))) # label(fact_380_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 410 (all C_1 all P_1 (hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Y) -> -hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(C_1,X_1),Y)))))) # label(fact_381_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 411 (all C_1 all P_1 (hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Y) -> -hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(C_1,X_1),Y)))))) # label(fact_382_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 412 (all C_1 all P_1 (hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Y) -> -hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(C_1,X_1),Y)))))) # label(fact_383_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 413 (all C_1 all P_1 (hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Y) -> -hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(C_1,X_1),Y)))))) # label(fact_384_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 414 (all C_1 all P_1 (hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Y) -> -hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(C_1,X_1),Y)))))) # label(fact_385_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 415 (all C_1 all P_1 (hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Y) -> -hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(C_1,X_1),Y)))))) # label(fact_386_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 416 (all C_1 all P_1 (hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Y) -> -hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(C_1,X_1),Y)))))) # label(fact_387_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 417 (all C_1 all P_1 (hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y) -> -hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,X_1),Y)))))) # label(fact_388_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 418 (all C_1 all P_1 (hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y) -> -hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_1,X_1),Y)))))) # label(fact_389_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 419 (all C_1 all P_1 (hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_1,X_1),Y)))))) # label(fact_390_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 420 (all C_1 all P_1 (hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y) -> -hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_1,X_1),Y)))))) # label(fact_391_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 421 (all C_1 all P_1 (hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y) -> -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_1,X_1),Y)))))) # label(fact_392_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 422 (all C_1 all P_1 (hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y) -> -hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_1,X_1),Y)))))) # label(fact_393_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 423 (all C_1 all P_1 (hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y) -> -hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_1,X_1),Y)))))) # label(fact_394_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 424 (all C_1 all P_1 (hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y) -> -hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_1,X_1),Y)))))) # label(fact_395_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 425 (all C_1 all P_1 (hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y) -> -hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_1,X_1),Y)))))) # label(fact_396_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 426 (all C_1 all P_1 (hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1)) -> -(all X_1 all Y (P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y) -> -hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_1,X_1),Y)))))) # label(fact_397_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 427 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),B_1) -> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,C_1),P_1)))) # label(fact_398_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 428 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),B_1) -> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,C_1),P_1)))) # label(fact_399_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 429 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),B_1) -> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,C_1),P_1)))) # label(fact_400_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 430 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),B_1) -> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,C_1),P_1)))) # label(fact_401_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 431 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),B_1) -> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,C_1),P_1)))) # label(fact_402_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 432 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),B_1) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,C_1),P_1)))) # label(fact_403_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 433 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),B_1) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,C_1),P_1)))) # label(fact_404_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 434 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),B_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,C_1),P_1)))) # label(fact_405_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 435 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1)))) # label(fact_406_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 436 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1)))) # label(fact_407_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 437 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1)))) # label(fact_408_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 438 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1)))) # label(fact_409_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 439 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1)))) # label(fact_410_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 440 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1)))) # label(fact_411_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 441 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1)))) # label(fact_412_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 442 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1)))) # label(fact_413_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 443 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1)))) # label(fact_414_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 444 (all C_1 all P_1 ((all A_2 all B_1 (P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_1,A_2),B_1)))) -> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1)))) # label(fact_415_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 445 (all Fa all Da all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,Fa,Da)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_416_FAccReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 446 (all E_1 all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1,E_2)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_417_CondReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 447 (all Fa all Da all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,Fa,Da,E_2)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_418_FAssReds1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 448 (all A all R_1 hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),A),transi1095029602t_char(R_1)))) # label(fact_419_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 449 (all A all R_1 hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),A),transi61620055on_val(R_1)))) # label(fact_420_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 450 (all A all R_1 hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),A),transi1789604888t_char(R_1)))) # label(fact_421_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 451 (all A all R_1 hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),A),transi1257872013t_char(R_1)))) # label(fact_422_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 452 (all A all R_1 hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),A),transi122195895t_char(R_1)))) # label(fact_423_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 453 (all A all R_1 hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),A),transi208336786on_val(R_1)))) # label(fact_424_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 454 (all A all R_1 hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),A),transi910771962on_val(R_1)))) # label(fact_425_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 455 (all A all R_1 hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),A),transi921647814on_val(R_1)))) # label(fact_426_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 456 (all A all R_1 hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A),transi1395422419t_char(R_1)))) # label(fact_427_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 457 (all A all R_1 hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A),transi2024712006on_val(R_1)))) # label(fact_428_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 458 (all A all R_1 hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A),transi374442731on_val(R_1)))) # label(fact_429_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 459 (all G all F ((all X_1 all Y (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,X_1),Y)) <-> hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y))))) -> hAPP_f2121594859l_bool(produc1958875245l_bool,F) = G)) # label(fact_430_cond__split__eta) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 460 (all P_1 all R_1 (hBOOL(member875476972on_val(P_1,R_1)) -> hBOOL(member875476972on_val(P_1,transi374442731on_val(R_1))))) # label(fact_431_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 461 (all P_1 all R_1 (hBOOL(member773094996on_val(P_1,R_1)) -> hBOOL(member773094996on_val(P_1,transi2024712006on_val(R_1))))) # label(fact_432_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 462 (all R_1 transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1)) # label(fact_433_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 463 (all R_1 transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1)) # label(fact_434_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 464 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1)))))) # label(fact_435_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 465 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1)))))) # label(fact_436_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 466 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1)))))) # label(fact_437_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 467 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),R_1)) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1)))))) # label(fact_438_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 468 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),R_1)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1)))))) # label(fact_439_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 469 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),R_1)) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1)))))) # label(fact_440_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 470 (all C_1 all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),R_1)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),transi374442731on_val(R_1))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1)))))) # label(fact_441_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 471 (all C_1 all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),R_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),transi2024712006on_val(R_1))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1)))))) # label(fact_442_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 472 (all C_1 all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),R_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),transi1395422419t_char(R_1))) -> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1)))))) # label(fact_443_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 473 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By)),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)))))) # label(fact_444_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 474 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By)),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)))))) # label(fact_445_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 475 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By)),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),transi1095029602t_char(R_1))) -> (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_2),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_446_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 476 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By)),transi61620055on_val(R_1))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),transi61620055on_val(R_1))) -> (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)))))) # label(fact_447_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 477 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By)),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),transi1789604888t_char(R_1))) -> (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)))))) # label(fact_448_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 478 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By)),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),transi1257872013t_char(R_1))) -> (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)))))) # label(fact_449_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 479 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By)),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),transi122195895t_char(R_1))) -> (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)))))) # label(fact_450_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 480 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By)),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),transi208336786on_val(R_1))) -> (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)))))) # label(fact_451_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 481 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By)),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),transi910771962on_val(R_1))) -> (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)))))) # label(fact_452_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 482 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By)),transi921647814on_val(R_1))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),transi921647814on_val(R_1))) -> (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1)) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_2),B_1)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)))))) # label(fact_453_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 483 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By)),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By)),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)))))) # label(fact_454_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 484 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By)),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By)),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)))))) # label(fact_455_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 485 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By)),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1)) -> (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By)),transi1095029602t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)))))) # label(fact_456_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 486 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By)),transi61620055on_val(R_1))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1)) -> (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By)),transi61620055on_val(R_1))) -> (hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)))))) # label(fact_457_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 487 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By)),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1)) -> (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By)),transi1789604888t_char(R_1))) -> (hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)))))) # label(fact_458_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 488 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By)),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1)) -> (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By)),transi1257872013t_char(R_1))) -> (hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)))))) # label(fact_459_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 489 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By)),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1)) -> (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By)),transi122195895t_char(R_1))) -> (hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)))))) # label(fact_460_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 490 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By)),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1)) -> (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By)),transi208336786on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)))))) # label(fact_461_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 491 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By)),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1)) -> (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By)),transi910771962on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)))))) # label(fact_462_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 492 (all Pa all Ax all Ay all Bx all By all R_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By)),transi921647814on_val(R_1))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) -> ((all A_2 all B_1 all Aa all Ba (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1)) -> (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By)),transi921647814on_val(R_1))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_2),B_1)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)))))) # label(fact_463_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 493 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)),transi374442731on_val(R_1))) -> (hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),R_1)) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)),transi374442731on_val(R_1)))))))) # label(fact_464_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 494 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)),transi2024712006on_val(R_1))) -> (hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),R_1)) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)),transi2024712006on_val(R_1)))))))) # label(fact_465_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 495 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)),transi1095029602t_char(R_1))) -> (hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),R_1)) -> -hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)),transi1095029602t_char(R_1)))))))) # label(fact_466_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 496 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)),transi61620055on_val(R_1))) -> (hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),R_1)) -> -hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)),transi61620055on_val(R_1)))))))) # label(fact_467_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 497 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)),transi1789604888t_char(R_1))) -> (hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),R_1)) -> -hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)),transi1789604888t_char(R_1)))))))) # label(fact_468_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 498 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)),transi1257872013t_char(R_1))) -> (hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),R_1)) -> -hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)),transi1257872013t_char(R_1)))))))) # label(fact_469_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 499 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)),transi122195895t_char(R_1))) -> (hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),R_1)) -> -hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)),transi122195895t_char(R_1)))))))) # label(fact_470_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 500 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)),transi208336786on_val(R_1))) -> (hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),R_1)) -> -hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)),transi208336786on_val(R_1)))))))) # label(fact_471_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 501 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)),transi910771962on_val(R_1))) -> (hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),R_1)) -> -hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)),transi910771962on_val(R_1)))))))) # label(fact_472_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 502 (all Xa_1 all Xb_1 all Za all Zb all R_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)),transi921647814on_val(R_1))) -> (hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb) -> -(all A_2 all B_1 (hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),R_1)) -> -hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)),transi921647814on_val(R_1)))))))) # label(fact_473_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 503 (all Q_1 all Pa all Z_1 (hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z_1))) -> -(all X_1 all Y (Z_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y) -> -hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X_1),Y))))))) # label(fact_474_splitE2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 504 (all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (A != B -> -(all Y (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y),transi374442731on_val(R_1))) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y),B),R_1))))))) # label(fact_475_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 505 (all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (A != B -> -(all Y (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y),transi2024712006on_val(R_1))) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y),B),R_1))))))) # label(fact_476_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 506 (all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (A != B -> -(all Y (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y),transi1395422419t_char(R_1))) -> -hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y),B),R_1))))))) # label(fact_477_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 507 (all X all Z_1 all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X),Z_1),transi374442731on_val(R_1))) -> (X != Z_1 -> -(all Y (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X),Y),R_1)) -> -hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y),Z_1),transi374442731on_val(R_1)))))))) # label(fact_478_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 508 (all X all Z_1 all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Z_1),transi2024712006on_val(R_1))) -> (X != Z_1 -> -(all Y (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X),Y),R_1)) -> -hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y),Z_1),transi2024712006on_val(R_1)))))))) # label(fact_479_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 509 (all X all Z_1 all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X),Z_1),transi1395422419t_char(R_1))) -> (X != Z_1 -> -(all Y (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X),Y),R_1)) -> -hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y),Z_1),transi1395422419t_char(R_1)))))))) # label(fact_480_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 510 (all Pa all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,B)) -> ((all Y all Z (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y),Z),R_1)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Z),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,Z)) -> hBOOL(hAPP_P71593144l_bool(Pa,Y)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,A)))))) # label(fact_481_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 511 (all Pa all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,B)) -> ((all Y all Z (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y),Z),R_1)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Z),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Z)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Y)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,A)))))) # label(fact_482_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 512 (all Pa all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,B)) -> ((all Y all Z (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y),Z),R_1)) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Z),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,Z)) -> hBOOL(hAPP_list_char_bool(Pa,Y)))))) -> hBOOL(hAPP_list_char_bool(Pa,A)))))) # label(fact_483_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 513 (all Pa all A all B all R_1 (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1))) -> (hBOOL(hAPP_P71593144l_bool(Pa,A)) -> ((all Y all Z (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y),transi374442731on_val(R_1))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y),Z),R_1)) -> (hBOOL(hAPP_P71593144l_bool(Pa,Y)) -> hBOOL(hAPP_P71593144l_bool(Pa,Z)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,B)))))) # label(fact_484_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 514 (all Pa all A all B all R_1 (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,A)) -> ((all Y all Z (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y),transi2024712006on_val(R_1))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y),Z),R_1)) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Y)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,B)))))) # label(fact_485_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 515 (all Pa all A all B all R_1 (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1))) -> (hBOOL(hAPP_list_char_bool(Pa,A)) -> ((all Y all Z (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y),transi1395422419t_char(R_1))) -> (hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y),Z),R_1)) -> (hBOOL(hAPP_list_char_bool(Pa,Y)) -> hBOOL(hAPP_list_char_bool(Pa,Z)))))) -> hBOOL(hAPP_list_char_bool(Pa,B)))))) # label(fact_486_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 516 (all V all Fa all Da all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_487_FAssReds2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 517 (all C_1 all B all S all Eb all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_488_WhileRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 518 (all Fa all Da all Eb all S all A all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_489_FAccRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 519 (all Exp_3 all Exp_2 (throw_list_char(Exp_3) = throw_list_char(Exp_2) <-> Exp_3 = Exp_2)) # label(fact_490_exp_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 520 (all Val_5 all Val_4 (hAPP_v834067052t_char(val_list_char,Val_5) = hAPP_v834067052t_char(val_list_char,Val_4) <-> Val_5 = Val_4)) # label(fact_491_exp_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 521 (all Exp_1 all Val_3 throw_list_char(Exp_1) != hAPP_v834067052t_char(val_list_char,Val_3)) # label(fact_492_exp_Osimps_I91_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 522 (all Val_2 all Exp hAPP_v834067052t_char(val_list_char,Val_2) != throw_list_char(Exp)) # label(fact_493_exp_Osimps_I90_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 523 (all Val_1 all Exp1_1 all List1_1 all List2_1 all Exp2_1 hAPP_v834067052t_char(val_list_char,Val_1) != fAss_list_char(Exp1_1,List1_1,List2_1,Exp2_1)) # label(fact_494_exp_Osimps_I78_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 524 (all Exp1 all List1 all List2 all Exp2 all Val fAss_list_char(Exp1,List1,List2,Exp2) != hAPP_v834067052t_char(val_list_char,Val)) # label(fact_495_exp_Osimps_I79_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 525 (all V all Fa all Da all Eb all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_496_red__reds_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.62 526 (all Fa all Da all E_2 all Eb all S_2_1 all E_1 all S_0 all V all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,Fa,Da,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_497_FAssRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 527 (all Eb all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_498_red__reds_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 528 (all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),red(Pa))))) # label(fact_499_red__reds_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 529 (all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_500_ThrowReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 530 (all Eb all S all A all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_501_ThrowRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 531 (all Eb all Fa all Da all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(Eb),Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_502_red__reds_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 532 (all Eb all E_1 all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(Eb),E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_503_red__reds_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 533 (all Eb all Fa all Da all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(Eb),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_504_red__reds_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 534 (all V all Fa all Da all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,E_b)),S_1)),red(Pa))))) # label(fact_505_red__reds_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 535 (all Fa all Da all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_506_FAssRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 536 (all E_1 all E_2 all Eb all S all A all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_507_CondRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 537 (all C_1 all Eb all S_2_1 all B all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_1),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_508_WhileTRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 538 (all Eb all S_3_1 all C_1 all V_1_2 all S_2_1 all B all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_1),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S_2_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1)),transi2024712006on_val(red(Pa)))))))) # label(fact_509_WhileTReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 539 (all E_1 all E_2 all E_b all S_2_1 all Eb all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_510_CondReds2F) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 540 (all E_2 all E_1 all E_b all S_2_1 all Eb all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_511_CondReds2T) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 541 (all Ta all Pa all Hb all Ea all Eb all T_r_1 (hBOOL(wTrt(Pa,Hb,Ea,Eb,T_r_1)) -> (hBOOL(is_refT(T_r_1)) -> hBOOL(wTrt(Pa,Hb,Ea,throw_list_char(Eb),Ta))))) # label(fact_512_WTrtThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 542 (all Bop all E_2 all Eb all S_2_1 all E_1 all S_0 all V_1_2 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_513_BinOpRedsThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 543 (all E_1 all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S)),red(Pa)))) # label(fact_514_red__reds_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 544 (all Bop all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_1)),red(Pa))))) # label(fact_515_red__reds_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 545 (all V_1_2 all Bop all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_1)),red(Pa))))) # label(fact_516_red__reds_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 546 (all Eb all Bop all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(Eb),Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_517_red__reds_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 547 (all Bop all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_518_BinOp1Reds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 548 (all V_1_2 all Bop all Eb all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_519_red__reds_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 549 (all V all Bop all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V),Bop,E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_520_BinOp2Reds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 550 (all Bop all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_521_BinOpRedsThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 551 (all E_1 all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa)))) # label(fact_522_red__reds_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 552 (all Pa all Hb all Ea all Eb all Ta (hBOOL(wTrt(Pa,Hb,Ea,throw_list_char(Eb),Ta)) -> -(all T_r (hBOOL(wTrt(Pa,Hb,Ea,Eb,T_r)) -> -hBOOL(is_refT(T_r)))))) # label(fact_523_WTrt__elim__cases_I4_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 553 (all C_1 all B all S all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_524_WhileFReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 554 (all E_2 all T_2_1 all Pa all Hb all Ea all E_1 all T_1_1 (hBOOL(wTrt(Pa,Hb,Ea,E_1,T_1_1)) -> (hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_1)) -> hBOOL(wTrt(Pa,Hb,Ea,binOp_list_char(E_1,c_Expr_Obop_OEq,E_2),boolean))))) # label(fact_525_WTrtBinOpEq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 555 (all C all V_1 all E_2 all Eb all S all V all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,V_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_526_TryRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 556 (all C all Eb all S all A all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_527_CastRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 557 (all M all Esa all Eb all S0 all A all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1_1)),transi2024712006on_val(red(Pa)))))) # label(fact_528_CallRedsThrowObj) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 558 (all M all Esa all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_1)),red(Pa))))) # label(fact_529_red__reds_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 559 (all C all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_1)),red(Pa))))) # label(fact_530_red__reds_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 560 (all C all V_1 all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,V_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,V_1,E_2)),S_1)),red(Pa))))) # label(fact_531_red__reds_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 561 (all Eb all M all Esa all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(Eb),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_532_red__reds_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 562 (all M all Esa all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_533_CallRedsObj) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 563 (all C all Eb all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_534_red__reds_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 564 (all C all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_535_CastReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 565 (all V all C all V_1 all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V),C,V_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),red(Pa)))) # label(fact_536_red__reds_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 566 (all C all V_1 all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,V_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,V_1,E_2)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_537_TryReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 567 (all V all M all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_a)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_538_CallRedsParams) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 568 (all Bool_1 bool(Bool_1) != unit) # label(fact_539_val_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 569 (all Bool_1 unit != bool(Bool_1)) # label(fact_540_val_Osimps_I6_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 570 (all B all C_1 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S)),red(Pa)))) # label(fact_541_red__reds_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 571 (all C all Eb all S all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_542_CastRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 572 (all E_2 all T_2_1 all Pa all Hb all Ea all E_1 all T_1_1 (hBOOL(wTrt(Pa,Hb,Ea,E_1,T_1_1)) -> (hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_1)) -> hBOOL(wTrt(Pa,Hb,Ea,seq_list_char(E_1,E_2),T_2_1))))) # label(fact_543_WTrtSeq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 573 (all Bool_1 null != bool(Bool_1)) # label(fact_546_val_Osimps_I12_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 574 (all Bool_1 bool(Bool_1) != null) # label(fact_547_val_Osimps_I13_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 575 (all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_1)),red(Pa))))) # label(fact_548_red__reds_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 576 (all Esa all Hb all Lb all Es_a all H_b all L_b all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa))) -> hBOOL(hext(Hb,H_b)))) # label(fact_549_reds__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 577 (all Bool all Bool_1 (bool(Bool) = bool(Bool_1) <-> (hBOOL(Bool) <-> hBOOL(Bool_1)))) # label(fact_550_val_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 578 (all V all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(hAPP_v834067052t_char(val_list_char,V),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa)))) # label(fact_551_red__reds_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 579 (all Eb all E_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(Eb),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_552_red__reds_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 580 (all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_553_SeqReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 581 (all E_2 all E_2_a all S_2_1 all E_1 all S_0 all V_1_2 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_554_SeqReds2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 582 (all E_2 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_555_SeqRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 583 (all C all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),red(Pa)))) # label(fact_556_red__reds_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 584 (all V all M all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_1)),reds(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_a)),S_1)),red(Pa))))) # label(fact_557_red__reds_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 585 (all Esa all Es_a all S_2_1 all Eb all S_0 all V all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V),Es_a)),S_2_1)),transi374442731on_val(reds(Pa))))))) # label(fact_558_ListRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 586 (all Esa all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_1)),transi374442731on_val(reds(Pa)))))) # label(fact_559_ListReds1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 587 (all Ea all Ts_1 all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_1)),reds(Pa))) -> (hBOOL(wTrts(Pa,hp(S),Ea,Esa,Ts_1)) -> (hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,Ea),S)) -> hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,Ea),S_1)))))) # label(fact_560_reds__preserves__sconf) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 588 (all Pa all X_1 all Xa all Xb all Xc (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,X_1,Xa),Xb),Xc)) <-> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xb),Xc)),reds(Pa))))) # label(fact_561_redsp__reds__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 589 (all V 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),Esa),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V),Es_a)),S_1)))) # label(fact_562_redp__redsp_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 590 (all H_b all Pa all Hb all Ea all Esa all Ts_1 (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1)) -> (hBOOL(hext(Hb,H_b)) -> hBOOL(wTrts(Pa,H_b,Ea,Esa,Ts_1))))) # label(fact_563_WTrts__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 591 (all V all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_1)),reds(Pa))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V),Es_a)),S_1)),reds(Pa))))) # label(fact_564_red__reds_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 592 (all M all Ta all Esa all Ts_1 all Pa all Hb all Ea all Eb (hBOOL(wTrt(Pa,Hb,Ea,Eb,nt)) -> (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1)) -> hBOOL(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta))))) # label(fact_565_WTrtCallNT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 593 (all V all Esa all S all Es_a all S_1 all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V),Es_a)),S_1)),transi374442731on_val(reds(Pa)))))) # label(fact_566_ListReds2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 594 (all Esa all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_1)),reds(Pa))))) # label(fact_567_red__reds_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 595 (all Ea all Ts_1 all Esa all Hb all Lb all Es_a all H_b all L_b all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa))) -> (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1)) -> (hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb)) -> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)))))) # label(fact_568_reds__preserves__hconf) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 596 (all Ea all Ts_1 all Esa all Hb all Lb all Es_a all H_b all L_b all Pa (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa))) -> (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1)) -> (hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) -> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)))))) # label(fact_569_reds__preserves__lconf) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 597 (all M all Esa all Vs_1_1 all A all Es_2 all S_2_1 all Eb all S0 all V all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(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_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_570_CallRedsThrowParams) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 598 (all V all M all S all Pa all Esa all Vs_2 all Eb all Es_a (Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(Eb),Es_a)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))))) # label(fact_571_red__reds_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 599 (all Esa all Ts_1 all Pa all Hb all Ea all Eb all Ta (hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) -> (hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1)) -> hBOOL(wTrts(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts_1)))))) # label(fact_572_WTrtCons) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 600 (all Pa all V all M all S all Esa all Vs_2 all Eb all Es_a (Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(Eb),Es_a)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Esa),S),throw_list_char(Eb)),S)))) # label(fact_573_redp__redsp_OCallThrowParams) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 601 (all E_2 all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_1)))) # label(fact_574_redp__redsp_OSeqRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 602 (all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Eb),S),throw_list_char(E_b)),S_1)))) # label(fact_575_redp__redsp_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 603 (all Pa all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_576_redp__redsp_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 604 (all C all V_1 all E_2 all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Eb,C,V_1,E_2),S),tryCatch_list_char(E_b,C,V_1,E_2)),S_1)))) # label(fact_577_redp__redsp_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 605 (all Fa all Da all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Eb,Fa,Da),S),fAcc_list_char(E_b,Fa,Da)),S_1)))) # label(fact_578_redp__redsp_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 606 (all C all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Eb),S),cast_list_char(C,E_b)),S_1)))) # label(fact_579_redp__redsp_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 607 (all E_1 all E_2 all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Eb,E_1,E_2),S),cond_list_char(E_b,E_1,E_2)),S_1)))) # label(fact_580_redp__redsp_OCondRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 608 (all Bop all E_2 all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Eb,Bop,E_2),S),binOp_list_char(E_b,Bop,E_2)),S_1)))) # label(fact_581_redp__redsp_OBinOpRed1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 609 (all M all Esa all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Eb,M,Esa),S),call_list_char(E_b,M,Esa)),S_1)))) # label(fact_582_redp__redsp_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 610 (all Fa all Da all E_2 all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Eb,Fa,Da,E_2),S),fAss_list_char(E_b,Fa,Da,E_2)),S_1)))) # label(fact_583_redp__redsp_OFAssRed1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 611 (all Pa all V all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V),E_2),S),E_2),S))) # label(fact_584_redp__redsp_ORedSeq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 612 (all V all Fa all Da all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,Eb),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,E_b)),S_1)))) # label(fact_585_redp__redsp_OFAssRed2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 613 (all V_1_2 all Bop all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_1)))) # label(fact_586_redp__redsp_OBinOpRed2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 614 (all Pa all Eb all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Eb),E_2),S),throw_list_char(Eb)),S))) # label(fact_587_redp__redsp_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 615 (all Pa all Eb all Fa all Da all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Eb),Fa,Da,E_2),S),throw_list_char(Eb)),S))) # label(fact_588_redp__redsp_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 616 (all Pa all Eb all M all Esa all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Eb),M,Esa),S),throw_list_char(Eb)),S))) # label(fact_589_redp__redsp_OCallThrowObj) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 617 (all Pa all Eb all Bop all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Eb),Bop,E_2),S),throw_list_char(Eb)),S))) # label(fact_590_redp__redsp_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 618 (all Pa all Eb all E_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Eb),E_1,E_2),S),throw_list_char(Eb)),S))) # label(fact_591_redp__redsp_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 619 (all Pa all C all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_592_redp__redsp_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 620 (all Pa all V all C all V_1 all E_2 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V),C,V_1,E_2),S),hAPP_v834067052t_char(val_list_char,V)),S))) # label(fact_593_redp__redsp_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 621 (all Pa all Eb all Fa all Da all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Eb),Fa,Da),S),throw_list_char(Eb)),S))) # label(fact_594_redp__redsp_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 622 (all Esa all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Eb,Esa),S),cons_exp_list_char(E_b,Esa)),S_1)))) # label(fact_595_redp__redsp_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 623 (all Pa all V all Fa all Da all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),Fa,Da,throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_596_redp__redsp_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 624 (all Pa all V_1_2 all Bop all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_597_redp__redsp_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 625 (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_598_redp__redsp_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 626 (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_599_redp__redsp_ORedCondT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 627 (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_600_redp__redsp_ORedCondF) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 628 (all V all M 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),M,Esa),S),call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_a)),S_1)))) # label(fact_601_redp__redsp_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 629 (all Pa all X_1 all Xa all Xb all Xc (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X_1,Xa),Xb),Xc)) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc)),red(Pa))))) # label(fact_602_redp__red__eq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 630 (all Pa all B all C_1 all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_1),S),cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S))) # label(fact_603_redp__redsp_ORedWhile) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 631 (all M all Esa all Vs_2 all S_2_1 all Eb all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,Vs_2)),S_2_1)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_604_CallRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 632 (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_606_redp__redsp_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 633 (all Nat_1 unit != addr(Nat_1)) # label(fact_607_val_Osimps_I10_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 634 (all Nat_1 addr(Nat_1) != unit) # label(fact_608_val_Osimps_I11_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 635 (all Nat_2 all Nat (addr(Nat_2) = addr(Nat) <-> Nat_2 = Nat)) # label(fact_609_val_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 636 (all Nat_1 addr(Nat_1) != null) # label(fact_610_val_Osimps_I17_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 637 (all Nat_1 null != addr(Nat_1)) # label(fact_611_val_Osimps_I16_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 638 (all Nat all Bool addr(Nat) != bool(Bool)) # label(fact_612_val_Osimps_I21_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 639 (all Bool all Nat bool(Bool) != addr(Nat)) # label(fact_613_val_Osimps_I20_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 640 (all Pa all Fa all Da all V all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da,hAPP_v834067052t_char(val_list_char,V)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_614_redp__redsp_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 641 (all Pa all Fa all Da all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))) # label(fact_615_redp__redsp_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 642 (all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_616_red__reds_ORedThrowNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 643 (all Pa all M 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,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_617_redp__redsp_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 644 (all Eb all S all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(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_618_ThrowRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 645 (all Fa all Da all V all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da,hAPP_v834067052t_char(val_list_char,V))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_619_red__reds_ORedFAssNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 646 (all Fa all Da all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_620_red__reds_ORedFAccNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 647 (all Fa all Da all E_2 all V all S_2_1 all E_1 all S_0 all S_1_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_2_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,Fa,Da,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa))))))) # label(fact_621_FAssRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 648 (all Fa all Da all Eb all S all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(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_622_FAccRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 649 (all M all Vs_2 all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_2))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa)))) # label(fact_623_red__reds_ORedCallNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 650 (all Fa all Da all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_1)))) # label(fact_626_FAccNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 651 (all Pa all S all Eb (hBOOL(final_list_char(Eb)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),Eb),S)))) # label(fact_627_eval__finalId) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 652 (all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_1)) -> hBOOL(final_list_char(E_b)))) # label(fact_628_eval__final) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 653 (all E_1 all E_2 all S_2_1 all Pa all E_0 all S_0 all V all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_1),E_2),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),E_2),S_2_1))))) # label(fact_629_Seq) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 654 (all E_1 all Pa all E_0 all S_0 all Eb all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Eb)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),throw_list_char(Eb)),S_1_1)))) # label(fact_630_eval__evals_OSeqThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 655 (all Pa all V all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V),S),E_b),S_1)) -> -(E_b = hAPP_v834067052t_char(val_list_char,V) -> S_1 != S))) # label(fact_631_eval__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 656 (all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_632_eval__evals_OThrowThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 657 (all Pa all V all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V),S),hAPP_v834067052t_char(val_list_char,V)),S))) # label(fact_633_Val) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 658 (all Pa all Eb all Hb all Lb all E_b all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> hBOOL(hext(Hb,H_b)))) # label(fact_634_eval__hext) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 659 (all C_1 all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_635_WhileCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 660 (all Fa all Da all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_636_eval__evals_OFAccThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 661 (all C all V_1 all E_2 all Pa all E_1 all S_0 all V_1_2 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V_1,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_1)))) # label(fact_637_Try) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 662 (all C all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_638_eval__evals_OCastThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 663 (all E_1 all E_2 all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_639_eval__evals_OCondThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 664 (all Bop all E_2 all Pa all E_1 all S_0 all Eb all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(Eb)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Eb)),S_1_1)))) # label(fact_640_eval__evals_OBinOpThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 665 (all M all Ps all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_641_CallObjThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 666 (all Fa all Da all E_2 all Pa all E_1 all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_642_eval__evals_OFAssThrow1) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 667 (all Pa all Eb all S_0 all A all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1_1)))) # label(fact_643_Throw) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 668 (all Fa all Da all E_2 all E_b all S_2_1 all Pa all E_1 all S_0 all V all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_b)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(E_b)),S_2_1))))) # label(fact_644_eval__evals_OFAssThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 669 (all Bop all E_2 all Eb all S_2_1 all Pa all E_1 all S_0 all V_1_2 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(Eb)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Eb)),S_2_1))))) # label(fact_645_eval__evals_OBinOpThrow2) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 670 (all C all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)))) # label(fact_646_CastNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 671 (all E_1 all E_2 all E_b all S_2_1 all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),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_b),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),E_b),S_2_1))))) # label(fact_647_CondF) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 672 (all E_2 all E_1 all E_b all S_2_1 all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),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_b),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),E_b),S_2_1))))) # label(fact_648_CondT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 673 (all E_3_1 all S_3_1 all C_1 all V_1_2 all S_2_1 all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_2_1),E_3_1),S_3_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),E_3_1),S_3_1)))))) # label(fact_649_WhileT) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 674 (all C_1 all E_b all S_2_1 all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_1),throw_list_char(E_b)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),throw_list_char(E_b)),S_2_1))))) # label(fact_650_WhileBodyThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 675 (all C_1 all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1_1)))) # label(fact_651_WhileF) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 676 (all Pa all B all C_1 all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S),E_b),S_1)) <-> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit)),S),E_b),S_1)))) # label(fact_652_unfold__while) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.63 677 (all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_1)))) # label(fact_653_ThrowNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 678 (all Fa all Da all E_2 all V all S_2_1 all Pa all E_1 all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))))) # label(fact_654_FAssNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 679 (all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S),E_b),S_1)) -> ((all A_2 (E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_2))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,addr(A_2))),S_1)))) -> ((E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,null)),S_1))) -> -(all E_3 (E_b = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_3)),S_1)))))))) # label(fact_655_eval__cases_I12_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 680 (all M all Ps all Vs_2 all S_2_1 all Pa all Eb all S_0 all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_1),map_va1934808527t_char(val_list_char,Vs_2)),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))))) # label(fact_656_CallNull) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 681 (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_657_eval__finalsId) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 682 (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_658_evals__final) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 683 (all Pa all Esa all Hb all Lb all Es_a all H_b all L_b (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) -> hBOOL(hext(Hb,H_b)))) # label(fact_659_evals__hext) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 684 (all Esa all Es_a all S_2_1 all Pa all Eb all S_0 all V all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es_a),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V),Es_a)),S_2_1))))) # label(fact_660_eval__evals_OCons) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 685 (all Esa all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(throw_list_char(E_b),Esa)),S_1_1)))) # label(fact_661_ConsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 686 (all Vs_2 all Es_a all Pa all X all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X),S),E_b),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),Es_a)),S),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(E_b,Es_a))),S_1)))) # label(fact_662_list__eval__Throw) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 687 (all M all Esa all Vs_2 all Ex all Es_a all S_2_1 all Pa all Eb all S_0 all V all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_1)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Esa),S_0),throw_list_char(Ex)),S_2_1))))) # label(fact_663_CallParamsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 688 (all Eb all S all E_b all S_1 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_1)) <-> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) & hBOOL(final_list_char(E_b))))) # label(fact_664_big__iff__small) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 689 (all Eb all S all E_b all S_1 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(final_list_char(E_b)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_1)))))) # label(fact_665_small__by__big) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 690 (all E_b all S_1 all Eb all S all E_5 all S_3 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3)),red(Pa))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_1)))))) # label(fact_666_extend__1__eval) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 691 (all Es_a all T_6 all Esa all T_5 all Es_1 all T_4 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),T_5)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_4)),reds(Pa))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_4),Es_a),T_6)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_5),Es_a),T_6)))))) # label(fact_667_extend__1__evals) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 692 (all E_b all S_1 all Eb all S all E_5 all S_3 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3)),transi2024712006on_val(red(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_1)))))) # label(fact_668_extend__eval) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 693 (all Eb all S all E_b all S_1 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_1)) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa))))))) # label(fact_669_big__by__small) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 694 (all Esa all S all Es_a all S_1 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_1)) -> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_1)),transi374442731on_val(reds(Pa))))))) # label(fact_670_bigs__by__smalls) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 695 (all Es_a all S_1 all Esa all S all Es_1 all S_3 all Pa (hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) -> (hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_3)),transi374442731on_val(reds(Pa)))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_3),Es_a),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_1)))))) # label(fact_671_extend__evals) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 696 (all Pa (hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa)) -> hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)))) # label(fact_672_wf__prog__wwf__prog) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 697 (all Pa all Eb all Esa all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S),E_b),S_1)) -> ((all V_4 all S_1_2 all Es (E_b = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_4),Es) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_4)),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_2),Es),S_1))))) -> -(all E_3 (E_b = cons_exp_list_char(throw_list_char(E_3),Esa) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_3)),S_1))))))) # label(fact_673_evals__cases_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 698 (all P all C_2 all Md (hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,P),C_2),Md)) -> hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,P),C_2),Md)))) # label(fact_674_wf__mdecl__wwf__mdecl) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 699 (all Pa all B all C_1 all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S),E_b),S_1)) -> ((E_b = 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_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> (all V_1_1 all S_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,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(B,C_1),S_2),E_b),S_1)))))) -> ((all E_3 (E_b = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),throw_list_char(E_3)),S_1)))) -> -(all S_1_2 all E_3 (E_b = throw_list_char(E_3) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_2),throw_list_char(E_3)),S_1)))))))))) # label(fact_675_eval__cases_I11_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 700 (all Pa all E_1 all E_2 all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1,E_2),S),E_b),S_1)) -> ((all V_4 all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_4)),S_1_2)) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E_b),S_1)))) -> -(all E_4 (E_b = throw_list_char(E_4) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),throw_list_char(E_4)),S_1))))))) # label(fact_676_eval__cases_I9_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 701 (all Pa all Eb all E_1 all E_2 all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S),E_b),S_1)) -> ((all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),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_b),S_1)))) -> ((all S_1_2 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),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_b),S_1)))) -> -(all E_3 (E_b = throw_list_char(E_3) -> -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_3)),S_1)))))))) # label(fact_677_eval__cases_I10_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 702 (all V_1 all Ta all A all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa)))) # label(fact_678_red__reds_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 703 (all Pa all V_1 all Ta all U all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S))) # label(fact_679_redp__redsp_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 704 (all V_1 all Ta all U all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,hAPP_v834067052t_char(val_list_char,U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S)),red(Pa)))) # label(fact_680_red__reds_ORedBlock) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 705 (all Pa all V_1 all Ta all A all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,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_681_redp__redsp_OBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 706 (all V_1 all Ta all V all A all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa)))) # label(fact_682_red__reds_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 707 (all Pa all V_1 all Ta all V all A all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),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_683_redp__redsp_OInitBlockThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 708 (all Pa all V_1 all Eb all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,throw_list_char(Eb)),S),throw_list_char(Eb)),S))) # label(fact_684_redp__redsp_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 709 (all V_1 all Pa all Eb all S all E_b all S_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,Eb),S),lAss_list_char(V_1,E_b)),S_1)))) # label(fact_685_redp__redsp_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 710 (all V_1 all Pa all Eb all S_0 all E_b all S_1_1 (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V_1,Eb),S_0),throw_list_char(E_b)),S_1_1)))) # label(fact_686_eval__evals_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 711 (all V_1 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),red(Pa))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,E_b)),S_1)),red(Pa))))) # label(fact_687_red__reds_OLAssRed) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 712 (all V_1 all Eb all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa)))) # label(fact_688_red__reds_OLAssThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 713 (all V_1 all Eb all S all E_b all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,E_b)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_689_LAssReds) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 714 (all Pa all V_1 all Ta all V all U all S hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_v834067052t_char(val_list_char,U))),S),hAPP_v834067052t_char(val_list_char,U)),S))) # label(fact_690_redp__redsp_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 715 (all V_1 all Eb all S all A all S_1 all Pa (hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))))) # label(fact_691_LAssRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 716 (all V_1 all Ta all V all U all S all Pa hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_v834067052t_char(val_list_char,U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S)),red(Pa)))) # label(fact_692_red__reds_ORedInitBlock) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 717 (all V_3 all Vs_1 all T_3 all Ts all V_2 all Vs all E blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(V_3,Vs_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(T_3,Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(V_2,Vs)),E)))) = block_list_char(V_3,T_3,seq_list_char(lAss_list_char(V_3,hAPP_v834067052t_char(val_list_char,V_2)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs),E))))))) # label(fact_693_blocks_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 718 (all A_1 the_Addr(addr(A_1)) = A_1) # label(fact_694_the__Addr_Osimps) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 719 (all Pa all Hb all Eb all T_2 all Ea all V_1 all Ta (hAPP_l512744617ion_ty(Ea,V_1) = some_ty(Ta) -> (hBOOL(wTrt(Pa,Hb,Ea,Eb,T_2)) -> (hBOOL(widen_2090681816t_char(Pa,T_2,Ta)) -> hBOOL(wTrt(Pa,Hb,Ea,lAss_list_char(V_1,Eb),void)))))) # label(fact_695_WTrtLAss) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 720 (all Pa all Hb all Ea all V all Eb all Ta (hBOOL(wTrt(Pa,Hb,Ea,lAss_list_char(V,Eb),Ta)) -> -(Ta = void -> (all T (hAPP_l512744617ion_ty(Ea,V) = some_ty(T) -> (all T_1 (hBOOL(wTrt(Pa,Hb,Ea,Eb,T_1)) -> -hBOOL(widen_2090681816t_char(Pa,T_1,T))))))))) # label(fact_696_WTrt__elim__cases_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 721 (all Pa all Fa all Da all V all S all A all C all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = some_val(V) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),Fa,Da),S),hAPP_v834067052t_char(val_list_char,V)),S))))) # label(fact_697_redp__redsp_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 722 (all Fa all Da all V all C all Fs all Pa all Eb all S_0 all A all Hb all Lb (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) -> (hAPP_n546249108on_val(Hb,A) = some_P948696889on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = some_val(V) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))))))) # label(fact_698_FAcc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 723 (all Pa all Fa all Da all V all S all A all C all Fs (hAPP_n546249108on_val(hp(S),A) = some_P948696889on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) -> (hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = some_val(V) -> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),red(Pa)))))) # label(fact_699_red__reds_ORedFAcc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 724 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fTrue_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 725 (all Q all P (-hBOOL(P) | -hBOOL(Q) | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)))) # label(help_fconj_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 726 (all P all Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) | hBOOL(P))) # label(help_fconj_2_1_U) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 727 (all P all Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) | hBOOL(Q))) # label(help_fconj_3_1_U) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 728 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 729 (all P all Q all R hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,P),Q),R) = hAPP_bool_bool(P,hAPP_list_char_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 730 (all P all Q all R hAPP_e544220455r_bool(hAPP_f2093707285r_bool(hAPP_f1593659251r_bool(cOMBB_1373881771t_char,P),Q),R) = hAPP_bool_bool(P,hAPP_e544220455r_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Expr__Oexp_Itc__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 731 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1033709212l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 732 (all P all Q all R hAPP_P2118621157r_bool(hAPP_f1104067989r_bool(hAPP_f2067364339r_bool(cOMBB_455741289t_char,P),Q),R) = hAPP_bool_bool(P,hAPP_P2118621157r_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__List__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 733 (all P all Q all R hAPP_list_char_bool(hAPP_f332734435r_bool(hAPP_f775361359r_bool(cOMBB_1749175574t_char,P),Q),R) = hAPP_P449474095r_bool(P,hAPP_l2100324114t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 734 (all P all Q all R hAPP_l1361600383r_bool(hAPP_f1818217r_bool(hAPP_f336522659r_bool(cOMBB_1033454012t_char,P),Q),R) = hAPP_f1371002581r_bool(P,hAPP_l1361600383r_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__HOL__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 735 (all P all Q all R hAPP_f1715346603l_bool(hAPP_f1803975093l_bool(hAPP_f10956301l_bool(cOMBB_1572981887on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1715346603l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 736 (all P all Q all R hAPP_e544220455r_bool(hAPP_f660690413r_bool(hAPP_f1672439075r_bool(cOMBB_215184339t_char,P),Q),R) = hAPP_P2118621157r_bool(P,hAPP_e1752110927t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 737 (all P all Q all R hAPP_P1907982426r_bool(hAPP_f1675531861r_bool(hAPP_f1897969075r_bool(cOMBB_224920158t_char,P),Q),R) = hAPP_bool_bool(P,hAPP_P1907982426r_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__List___002) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 738 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,P),Q),R) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 739 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1326058377l_bool(hAPP_f1804599279l_bool(cOMBB_678146046on_val,P),Q),R) = hAPP_P449474095r_bool(P,hAPP_f338074126t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_003) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 740 (all P all Q all R hAPP_l1062423959r_bool(hAPP_f777111705r_bool(hAPP_f1334304147r_bool(cOMBB_137522603st_val,P),Q),R) = hAPP_f2093707285r_bool(P,hAPP_l1062423959r_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 741 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1468279871l_bool(hAPP_f737797743l_bool(cOMBB_1733006024on_val,P),Q),R) = hAPP_P2118621157r_bool(P,hAPP_f1555843780t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr___004) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 742 (all P all Q all R hAPP_l1361600383r_bool(hAPP_f1633332187r_bool(hAPP_f737710471r_bool(cOMBB_507649738t_char,P),Q),R) = hAPP_f332734435r_bool(P,hAPP_l208357873t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 743 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1645102644l_bool(hAPP_f962366127l_bool(cOMBB_95569939on_val,P),Q),R) = hAPP_P1907982426r_bool(P,hAPP_f1911830329t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 744 (all P all Q all R hAPP_P2118621157r_bool(hAPP_f749256120r_bool(hAPP_f968085945r_bool(cOMBB_865194374t_char,P),Q),R) = hAPP_P1907982426r_bool(P,hAPP_P1392904962t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_005) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 745 (all P all Q all R hAPP_l1062423959r_bool(hAPP_f1345728193r_bool(hAPP_f166702051r_bool(cOMBB_698101635st_val,P),Q),R) = hAPP_f660690413r_bool(P,hAPP_l1859255743t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_006) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 746 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1937467848l_bool(hAPP_f2020099865l_bool(cOMBB_1543649755on_val,P),Q),R) = hAPP_P1235399154l_bool(P,hAPP_f2106552235on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 747 (all P all Q all R hAPP_l1987619678r_bool(hAPP_f113541543r_bool(hAPP_f897748257r_bool(cOMBB_972090594ist_ty,P),Q),R) = hAPP_f1104067989r_bool(P,hAPP_l1987619678r_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 748 (all P all Q all R hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f61040418l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 749 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1212990632l_bool(hAPP_f764883801l_bool(cOMBB_1837440507on_val,P),Q),R) = hAPP_P92196306r_bool(P,hAPP_f848628235t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 750 (all P all Q all R hAPP_f1715346603l_bool(hAPP_f781588360l_bool(hAPP_f1046102489l_bool(cOMBB_572737002on_val,P),Q),R) = hAPP_P1235399154l_bool(P,hAPP_f900686428on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun__007) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 751 (all P all Q all R hAPP_l465799708l_bool(hAPP_f624730965l_bool(hAPP_f1399435963l_bool(cOMBB_73690268t_char,P),Q),R) = hAPP_f1803975093l_bool(P,hAPP_l465799708l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 752 (all P all Q all R hAPP_P159683425l_bool(hAPP_f2134824737l_bool(hAPP_f1308714617l_bool(cOMBB_338347573on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_P159683425l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__fun_It) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 753 (all P all Q all R hAPP_P1907982426r_bool(hAPP_f1866631480r_bool(hAPP_f1090377327r_bool(cOMBB_2081530643t_char,P),Q),R) = hAPP_P92196306r_bool(P,hAPP_P767818445t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___008) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 754 (all P all Q all R hAPP_list_char_bool(hAPP_f1742268533r_bool(hAPP_f1683814075r_bool(cOMBB_315503848t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_l80874262on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 755 (all P all Q all R hAPP_l217977712r_bool(hAPP_f177037909r_bool(hAPP_f146587157r_bool(cOMBB_1310111461t_char,P),Q),R) = hAPP_f1675531861r_bool(P,hAPP_l217977712r_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 756 (all P all Q all R hAPP_e544220455r_bool(hAPP_f716957699r_bool(hAPP_f106757449r_bool(cOMBB_1539035119t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_e1410803407on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_009) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 757 (all P all Q all R hAPP_l1987619678r_bool(hAPP_f1371969732r_bool(hAPP_f770993243r_bool(cOMBB_847301125ist_ty,P),Q),R) = hAPP_f749256120r_bool(P,hAPP_l14371579t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt_010) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 758 (all P all Q all R hAPP_P1708370145l_bool(hAPP_f926562337l_bool(hAPP_f1560238713l_bool(cOMBB_672625589on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_P1708370145l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__Expr__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 759 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,P),Q),R) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 760 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_011) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 761 (all P all Q all R hAPP_P71593144l_bool(hAPP_f1279517141l_bool(hAPP_f1359168307l_bool(cOMBB_506101180on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_P71593144l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__List___012) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 762 (all P all Q all R hAPP_P2118621157r_bool(hAPP_f1915623807r_bool(hAPP_f1346522053r_bool(cOMBB_1115744685t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P214139537on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_013) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 763 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 764 (all P all Q all R hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R))) # label(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 765 (all P all Q all R hAPP_l1361600383r_bool(hAPP_f1056413453r_bool(hAPP_f26812903r_bool(cOMBB_1271765500t_char,P),Q),R) = hAPP_f1742268533r_bool(P,hAPP_l867549837on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__014) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 766 (all P all Q all R hAPP_f1715346603l_bool(hAPP_f1261046903l_bool(hAPP_f1508793015l_bool(cOMBB_486278459on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f998724171on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_015) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 767 (all P all Q all R hAPP_P1907982426r_bool(hAPP_f1957179113r_bool(hAPP_f1096084527r_bool(cOMBB_1980206754t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P216502748on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_016) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 768 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f318082871l_bool(hAPP_f1233687287l_bool(cOMBB_171276332on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_f1926378906on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 769 (all P all Q all R hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,P),Q),R) = hAPP_f1863694447l_bool(P,hAPP_f1145256474l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 770 (all P all Q all R hAPP_l1062423959r_bool(hAPP_f1339377933r_bool(hAPP_f1165187701r_bool(cOMBB_1124198201st_val,P),Q),R) = hAPP_f716957699r_bool(P,hAPP_l1870161525on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_017) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 771 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f502623122l_bool(hAPP_f1000925999l_bool(cOMBB_1466435125on_val,P),Q),R) = hAPP_P71593144l_bool(P,hAPP_f637291415on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 772 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1996106275l_bool(hAPP_f1550515381l_bool(cOMBB_2040779506on_val,P),Q),R) = hAPP_f1326058377l_bool(P,hAPP_f1628326017t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_018) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 773 (all P all Q all R hAPP_l465799708l_bool(hAPP_f21084934l_bool(hAPP_f1136596083l_bool(cOMBB_1895512847t_char,P),Q),R) = hAPP_f781588360l_bool(P,hAPP_l1786340417on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__019) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 774 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1576637933l_bool(hAPP_f154583625l_bool(cOMBB_335252392on_val,P),Q),R) = hAPP_f1468279871l_bool(P,hAPP_f1297079863t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_020) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 775 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1121261496l_bool(hAPP_f1331093087l_bool(cOMBB_1472123293on_val,P),Q),R) = hAPP_f1645102644l_bool(P,hAPP_f157410348t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_021) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 776 (all P all Q all R hAPP_l217977712r_bool(hAPP_f459877466r_bool(hAPP_f2039744637r_bool(cOMBB_580983202t_char,P),Q),R) = hAPP_f1866631480r_bool(P,hAPP_l1873467853t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__022) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 777 (all P all Q all R hAPP_l1987619678r_bool(hAPP_f1944156365r_bool(hAPP_f918235057r_bool(cOMBB_1843549548ist_ty,P),Q),R) = hAPP_f1915623807r_bool(P,hAPP_l1004879342on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt_023) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 778 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1145600492l_bool(hAPP_f630712985l_bool(cOMBB_1962662865on_val,P),Q),R) = hAPP_f1937467848l_bool(P,hAPP_f1614126606on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_024) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 779 (all P all Q all R hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_025) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 780 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1089411340l_bool(hAPP_f2012169497l_bool(cOMBB_1443356337on_val,P),Q),R) = hAPP_f1212990632l_bool(P,hAPP_f78832750t_char(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_026) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 781 (all P all Q all R hAPP_l465799708l_bool(hAPP_f1440866903l_bool(hAPP_f1138830003l_bool(cOMBB_97313278t_char,P),Q),R) = hAPP_f1261046903l_bool(P,hAPP_l221195696on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__027) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 782 (all P all Q all R hAPP_P159683425l_bool(hAPP_f1301559543l_bool(hAPP_f1825030711l_bool(cOMBB_877741809on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1776198677on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_028) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 783 (all P all Q all R hAPP_l217977712r_bool(hAPP_f829041291r_bool(hAPP_f1691034591r_bool(cOMBB_889837233t_char,P),Q),R) = hAPP_f1957179113r_bool(P,hAPP_l451552092on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__029) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 784 (all P all Q all R hAPP_P159683425l_bool(hAPP_f489055607l_bool(hAPP_f10074679l_bool(cOMBB_1759207793on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_P604205461on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_030) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 785 (all P all Q all R hAPP_P1708370145l_bool(hAPP_f1712766199l_bool(hAPP_f881985847l_bool(cOMBB_1083177073on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P789556885on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_031) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 786 (all P all Q all R hAPP_P159683425l_bool(hAPP_f552081564l_bool(hAPP_f1121083449l_bool(cOMBB_1085967610on_val,P),Q),R) = hAPP_P71593144l_bool(P,hAPP_P1963616220on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli_032) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 787 (all P all Q all R hAPP_P71593144l_bool(hAPP_f1540354981l_bool(hAPP_f2131288811l_bool(cOMBB_1173566976on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1892658174on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_033) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 788 (all P all Q all R hAPP_e1833980889l_bool(hAPP_f546724245l_bool(hAPP_f917296015l_bool(cOMBB_740252943t_char,P),Q),R) = hAPP_f2134824737l_bool(P,hAPP_e1833980889l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 789 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_034) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 790 (all P all Q all R hAPP_l146377954l_bool(hAPP_f1212701859l_bool(hAPP_f95792151l_bool(cOMBB_1638169504t_char,P),Q),R) = hAPP_f2134824737l_bool(P,hAPP_l146377954l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_035) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 791 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,P),Q),R) = hAPP_f318082871l_bool(P,hAPP_f1840640125on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_036) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 792 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f556306650l_bool(hAPP_f1538372259l_bool(cOMBB_157777659on_val,P),Q),R) = hAPP_f502623122l_bool(P,hAPP_f336970122on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_037) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 793 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f524589473l_bool(hAPP_f2052660463l_bool(cOMBB_1292453606on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_f602593190on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 794 (all P all Q all R hAPP_f1033709212l_bool(hAPP_f1546656185l_bool(hAPP_f28987375l_bool(cOMBB_132741582on_val,P),Q),R) = hAPP_P1333315679l_bool(P,hAPP_f1416324670on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 795 (all P all Q all R hAPP_e1833980889l_bool(hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_e108155315on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_038) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 796 (all P all Q all R hAPP_l146377954l_bool(hAPP_f896993613l_bool(hAPP_f219814819l_bool(cOMBB_143000234t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_l1012006762on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_039) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 797 (all P all Q all R hAPP_e1833980889l_bool(hAPP_f439412817l_bool(hAPP_f1725502637l_bool(cOMBB_1027621637t_char,P),Q),R) = hAPP_f489055607l_bool(P,hAPP_e1659493427on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_040) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 798 (all P all Q all R hAPP_l146377954l_bool(hAPP_f1455553822l_bool(hAPP_f1060117847l_bool(cOMBB_298947045t_char,P),Q),R) = hAPP_f552081564l_bool(P,hAPP_l1275479261on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_041) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 799 (all P all Q all R hAPP_P1708370145l_bool(hAPP_f204771371l_bool(hAPP_f365540729l_bool(cOMBB_1466662571on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_P1886180715on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__042) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 800 (all P all Q all R hAPP_P1116729363l_bool(hAPP_f641257349l_bool(hAPP_f2032347769l_bool(cOMBB_466903633on_val,P),Q),R) = hAPP_f926562337l_bool(P,hAPP_P1116729363l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 801 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,P),Q),R) = hAPP_f524589473l_bool(P,hAPP_f600512025on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_043) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 802 (all P all Q all R hAPP_P71593144l_bool(hAPP_f1800436403l_bool(hAPP_f757259503l_bool(cOMBB_256117342on_val,P),Q),R) = hAPP_P1333315679l_bool(P,hAPP_P658340954on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__044) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 803 (all P all Q all R hAPP_f1175813647l_bool(hAPP_f1505175539l_bool(hAPP_f924423253l_bool(cOMBB_1330725154on_val,P),Q),R) = hAPP_f1546656185l_bool(P,hAPP_f865889457on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_045) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 804 (all P all Q all R hAPP_P1183008383l_bool(hAPP_f855183977l_bool(hAPP_f1219198883l_bool(cOMBB_2073500116on_val,P),Q),R) = hAPP_f1279517141l_bool(P,hAPP_P1183008383l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__) # label(axiom) # label(non_clause). [assumption].
% 1.23/1.64 805 (all P all Q all R hAPP_P1116729363l_bool(hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,P),Q),R) = hAPP_f1712766199l_bool(P,hAPP_P2083594489on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___046) # label(axiom) # label(non_clause). [assumption].
% 2.69/2.92 806 (all P all Q all R hAPP_P1183008383l_bool(hAPP_f1909521165l_bool(hAPP_f1779944471l_bool(cOMBB_607314500on_val,P),Q),R) = hAPP_f1540354981l_bool(P,hAPP_P308812685on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc___047) # label(axiom) # label(non_clause). [assumption].
% 2.69/2.92 807 (all P all Q all R hAPP_P1116729363l_bool(hAPP_f1342895119l_bool(hAPP_f639265145l_bool(cOMBB_364363975on_val,P),Q),R) = hAPP_f204771371l_bool(P,hAPP_P1870962205on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___048) # label(axiom) # label(non_clause). [assumption].
% 2.69/2.92 808 (all P all Q all R hAPP_P1183008383l_bool(hAPP_f1255886347l_bool(hAPP_f2063458791l_bool(cOMBB_1068689586on_val,P),Q),R) = hAPP_f1800436403l_bool(P,hAPP_P1526035745on_val(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc___049) # label(axiom) # label(non_clause). [assumption].
% 2.69/2.92
% 2.69/2.92 ============================== end of process non-clausal formulas ===
% 2.69/2.92
% 2.69/2.92 ============================== PROCESS INITIAL CLAUSES ===============
% 2.69/2.92
% 2.69/2.92 ============================== PREDICATE ELIMINATION =================
% 2.69/2.92
% 2.69/2.92 ============================== end predicate elimination =============
% 2.69/2.92
% 2.69/2.92 Auto_denials: (non-Horn, no changes).
% 2.69/2.92
% 2.69/2.92 Term ordering decisions:
% 2.69/2.92 Function symbol KB weights: produc1259058957on_val=1. produc1441475159on_val=1. val_list_char=1. produc1611380469on_val=1. produc899768717on_val=1. produc379668296on_val=1. produc5062597t_char=1. produc1909267824t_char=1. produc1916172923t_char=1. produc1958875245l_bool=1. produc921874948t_char=1. produc823076510on_val=1. produc1564932627on_val=1. produc1951691075on_val=1. produc24551831t_char=1. produc57279289t_char=1. produc1299387215t_char=1. produc2080520419t_char=1. produc499151895on_val=1. produc870913623on_val=1. fTrue=1. fconj=1. fFalse=1. null=1. produc1491230096l_bool=1. produc154616760r_bool=1. produc1704639885r_bool=1. produc1815960045l_bool=1. produc1911463199l_bool=1. produc2027921764r_bool=1. produc21910851r_bool=1. produc392960766l_bool=1. produc70644925l_bool=1. unit=1. p=1. nullPointer=1. ha=1. wwf_J_mdecl=1. ea=1. boolean=1. e=1. cOMBB_338347573on_val=1. la=1. produc1131232171r_bool=1. produc1193275679l_bool=1. produc1229156571l_bool=1. produc1294339167r_bool=1. produc1470355201r_bool=1. produc22827031r_bool=1. produc376173579l_bool=1. produc870083295l_bool=1. void=1. cOMBB_383678192on_val=1. cOMBB_877741809on_val=1. nt=1. cOMBB_1033454012t_char=1. cOMBB_1091123364t_char=1. cOMBB_1310111461t_char=1. cOMBB_1373881771t_char=1. cOMBB_137522603st_val=1. cOMBB_1522540928on_val=1. cOMBB_1572981887on_val=1. cOMBB_1638169504t_char=1. cOMBB_2073500116on_val=1. cOMBB_224920158t_char=1. cOMBB_455741289t_char=1. cOMBB_466903633on_val=1. cOMBB_506101180on_val=1. cOMBB_672625589on_val=1. cOMBB_73690268t_char=1. cOMBB_740252943t_char=1. cOMBB_972090594ist_ty=1. e_a=1. h_a=1. cOMBB_1083177073on_val=1. cOMBB_1115744685t_char=1. cOMBB_1124198201st_val=1. cOMBB_1173566976on_val=1. cOMBB_1259202826on_val=1. cOMBB_1271765500t_char=1. cOMBB_1292453606on_val=1. cOMBB_1303934920on_val=1. cOMBB_132741582on_val=1. cOMBB_1330725154on_val=1. cOMBB_143000234t_char=1. cOMBB_1443356337on_val=1. cOMBB_1466435125on_val=1. cOMBB_1466889536on_val=1. cOMBB_1472123293on_val=1. cOMBB_1518282696on_val=1. cOMBB_1539035119t_char=1. cOMBB_1543649755on_val=1. cOMBB_157777659on_val=1. cOMBB_171276332on_val=1. cOMBB_1718333400on_val=1. cOMBB_1733006024on_val=1. cOMBB_1837440507on_val=1. cOMBB_1843549548ist_ty=1. cOMBB_1962662865on_val=1. cOMBB_1980206754t_char=1. cOMBB_2040779506on_val=1. cOMBB_315503848t_char=1. cOMBB_335252392on_val=1. cOMBB_486278459on_val=1. cOMBB_607314500on_val=1. cOMBB_635947099on_val=1. cOMBB_678146046on_val=1. cOMBB_819439237t_char=1. cOMBB_889837233t_char=1. cOMBB_95569939on_val=1. cOMBB_97313278t_char=1. cOMBC_2027949654l_bool=1. cOMBC_832625297y_bool=1. produc2128769400l_bool=1. t=1. wf_J_mdecl=1. cOMBB_1027621637t_char=1. cOMBB_1068689586on_val=1. cOMBB_1085967610on_val=1. cOMBB_1153617344on_val=1. cOMBB_1466662571on_val=1. cOMBB_1749175574t_char=1. cOMBB_1750801836on_val=1. cOMBB_1759207793on_val=1. cOMBB_1895512847t_char=1. cOMBB_2081530643t_char=1. cOMBB_215184339t_char=1. cOMBB_256117342on_val=1. cOMBB_298947045t_char=1. cOMBB_364363975on_val=1. cOMBB_507649738t_char=1. cOMBB_572737002on_val=1. cOMBB_580983202t_char=1. cOMBB_698101635st_val=1. cOMBB_847301125ist_ty=1. cOMBB_865194374t_char=1. d=1. e_2=1. f=1. produc1003071703on_val=1. produc1139048085t_char=1. produc1148763895on_val=1. produc1174947465on_val=1. produc1202869992on_val=1. produc1450794278on_val=1. produc1476705295on_val=1. produc1597824762t_char=1. produc2083294131on_val=1. produc457808617on_val=1. produc493500298t_char=1. produc534648062on_val=1. produc576623071t_char=1. produc636580408on_val=1. produc653117369on_val=1. produc726497362on_val=1. produc901351817on_val=1. produc928527642on_val=1. c_Expr_Obop_OEq=1. l_a=1. produc1631960005l_bool=1. produc1657965293r_bool=1. produc1741654153l_bool=1. produc1779501634r_bool=1. produc19303535r_bool=1. produc1988544340l_bool=1. produc2085082994l_bool=1. produc399384568l_bool=1. produc684674552r_bool=1. hAPP_P159683425l_bool=1. hAPP_P604205461on_val=1. hAPP_e1659493427on_val=1. hAPP_e1833980889l_bool=1. hAPP_P1870962205on_val=1. hAPP_P1886180715on_val=1. hAPP_v834067052t_char=1. member773094996on_val=1. hAPP_P1526035745on_val=1. hAPP_P658340954on_val=1. hAPP_P1963616220on_val=1. hAPP_f1727192346on_val=1. hAPP_f1849790461on_val=1. hAPP_l1275479261on_val=1. hAPP_l208357873t_char=1. hAPP_l2100324114t_char=1. hAPP_P1708370145l_bool=1. hAPP_P71593144l_bool=1. hAPP_P1392904962t_char=1. hAPP_l14371579t_char=1. hAPP_f2121594859l_bool=1. hAPP_P767818445t_char=1. hAPP_e1752110927t_char=1. hAPP_l1859255743t_char=1. hAPP_l1873467853t_char=1. member875476972on_val=1. hAPP_P1907982426r_bool=1. while_list_char=1. hAPP_P2118621157r_bool=1. hAPP_f900686428on_val=1. hAPP_l1786340417on_val=1. hAPP_l146377954l_bool=1. hAPP_list_char_bool=1. hAPP_P1486793863on_val=1. hAPP_P1539798428t_char=1. hAPP_P1758592847on_val=1. hAPP_P2015431471on_val=1. hAPP_P2077211775on_val=1. hAPP_P719127871t_char=1. hAPP_P1333668416t_char=1. hAPP_P1859316965t_char=1. hAPP_f1175813647l_bool=1. hAPP_P1071727823t_char=1. hAPP_P1220989409t_char=1. hAPP_P1657265855t_char=1. hAPP_P1668407995t_char=1. hAPP_P1875010047on_val=1. hAPP_P265246237on_val=1. hAPP_P291613419on_val=1. hAPP_P330218428on_val=1. hAPP_f1033709212l_bool=1. hAPP_P1333315679l_bool=1. hAPP_P282169671l_bool=1. hAPP_P92196306r_bool=1. hAPP_P1235399154l_bool=1. hAPP_P449474095r_bool=1. member1251428284t_char=1. cons_exp_list_char=1. hAPP_b589554111l_bool=1. hAPP_e544220455r_bool=1. hAPP_f1715346603l_bool=1. hAPP_P1116729363l_bool=1. hAPP_P1183008383l_bool=1. hAPP_l1062423959r_bool=1. hAPP_l1361600383r_bool=1. hAPP_l1987619678r_bool=1. hAPP_l217977712r_bool=1. hAPP_l465799708l_bool=1. member1161907014t_char=1. member125098544t_char=1. member1322055188on_val=1. member1420286996t_char=1. member563141460on_val=1. member794220506t_char=1. member808015754on_val=1. member88670778on_val=1. seq_list_char=1. hAPP_f102021095r_bool=1. hAPP_f1443410953l_bool=1. hAPP_f1525114763l_bool=1. hAPP_f1613448899r_bool=1. hAPP_f1634841927l_bool=1. hAPP_f1697332217r_bool=1. hAPP_f1930574389l_bool=1. hAPP_f2132060507r_bool=1. hAPP_f635218277l_bool=1. hAPP_P2028072621l_bool=1. hAPP_P378063101l_bool=1. hAPP_P824029447r_bool=1. hAPP_P1240100515r_bool=1. hAPP_P1183499705r_bool=1. hAPP_P1221872711l_bool=1. hAPP_P124632071l_bool=1. hAPP_P2010574925r_bool=1. lAss_list_char=1. hAPP_bool_bool=1. cast_list_char=1. wf_pro755087577t_char=1. hext=1. typeSa807100911_sconf=1. member133545693t_char=1. member140606439t_char=1. member1542417277on_val=1. member1972431429on_val=1. member699351154t_char=1. member763590124on_val=1. member840932460on_val=1. map_va1934808527t_char=1. hAPP_f1001225811y_bool=1. hAPP_f1213370163y_bool=1. hAPP_f1308714617l_bool=1. hAPP_f1363805417l_bool=1. hAPP_f1377529935r_bool=1. hAPP_f1600283417l_bool=1. hAPP_f2060496320y_bool=1. hAPP_f39862969r_bool=1. hAPP_f523402917r_bool=1. hAPP_f655949763r_bool=1. hAPP_f662143077l_bool=1. hAPP_f834198659l_bool=1. append_exp_list_char=1. hAPP_f61040418l_bool=1. hAPP_P1214880255r_bool=1. hAPP_P1928969845r_bool=1. hAPP_P1988153107l_bool=1. hAPP_P2062527807l_bool=1. hAPP_P220718911l_bool=1. hAPP_P357098431r_bool=1. hAPP_P416784693l_bool=1. hAPP_P663876415r_bool=1. hAPP_f1825030711l_bool=1. hAPP_f1863694447l_bool=1. hAPP_f10956301l_bool=1. hAPP_f113541543r_bool=1. hAPP_f1212701859l_bool=1. hAPP_f1219198883l_bool=1. hAPP_f1334304147r_bool=1. hAPP_f1359168307l_bool=1. hAPP_f1399435963l_bool=1. hAPP_f146587157r_bool=1. hAPP_f1560238713l_bool=1. hAPP_f1593659251r_bool=1. hAPP_f1734879897l_bool=1. hAPP_f177037909r_bool=1. hAPP_f1818217r_bool=1. hAPP_f1861125939r_bool=1. hAPP_f1897969075r_bool=1. hAPP_f2032347769l_bool=1. hAPP_f2067364339r_bool=1. hAPP_f336522659r_bool=1. hAPP_f546724245l_bool=1. hAPP_f555424277l_bool=1. hAPP_f624730965l_bool=1. hAPP_f641257349l_bool=1. hAPP_f777111705r_bool=1. hAPP_f855183977l_bool=1. hAPP_f897748257r_bool=1. hAPP_f917296015l_bool=1. hAPP_f95792151l_bool=1. map_ad325961431ar_val=1. cOMBS_570216337l_bool=1. hAPP_P1384137393r_bool=1. hAPP_P1892658174on_val=1. hAPP_P2094403585on_val=1. hAPP_P214139537on_val=1. hAPP_P216502748on_val=1. hAPP_P789556885on_val=1. hAPP_f1000925999l_bool=1. hAPP_f1043869573l_bool=1. hAPP_f1056413453r_bool=1. hAPP_f106757449r_bool=1. hAPP_f1074020887l_bool=1. hAPP_f1089411340l_bool=1. hAPP_f1096084527r_bool=1. hAPP_f1121261496l_bool=1. hAPP_f1138830003l_bool=1. hAPP_f1145600492l_bool=1. hAPP_f1165187701r_bool=1. hAPP_f1233687287l_bool=1. hAPP_f1241216909l_bool=1. hAPP_f1301559543l_bool=1. hAPP_f1331093087l_bool=1. hAPP_f1339377933r_bool=1. hAPP_f1346522053r_bool=1. hAPP_f1438732387l_bool=1. hAPP_f1440866903l_bool=1. hAPP_f1452292669l_bool=1. hAPP_f1505175539l_bool=1. hAPP_f1508793015l_bool=1. hAPP_f1523875321l_bool=1. hAPP_f1538372259l_bool=1. hAPP_f154583625l_bool=1. hAPP_f1550515381l_bool=1. hAPP_f1576637933l_bool=1. hAPP_f1683814075r_bool=1. hAPP_f1691034591r_bool=1. hAPP_f1779944471l_bool=1. hAPP_f1804599279l_bool=1. hAPP_f1909521165l_bool=1. hAPP_f1944156365r_bool=1. hAPP_f1977633121l_bool=1. hAPP_f1996106275l_bool=1. hAPP_f2012169497l_bool=1. hAPP_f2020099865l_bool=1. hAPP_f2052660463l_bool=1. hAPP_f2131288811l_bool=1. hAPP_f2134824737l_bool=1. hAPP_f219814819l_bool=1. hAPP_f26812903r_bool=1. hAPP_f28987375l_bool=1. hAPP_f348318673l_bool=1. hAPP_f399538905l_bool=1. hAPP_f516738477l_bool=1. hAPP_f550652027l_bool=1. hAPP_f556306650l_bool=1. hAPP_f592397849l_bool=1. hAPP_f630712985l_bool=1. hAPP_f653692369l_bool=1. hAPP_f737797743l_bool=1. hAPP_f764883801l_bool=1. hAPP_f829041291r_bool=1. hAPP_f838396643l_bool=1. hAPP_f850751421l_bool=1. hAPP_f857351829l_bool=1. hAPP_f881985847l_bool=1. hAPP_f896993613l_bool=1. hAPP_f918235057r_bool=1. hAPP_f924423253l_bool=1. hAPP_f927043595l_bool=1. hAPP_f962366127l_bool=1. hAPP_n546249108on_val=1. cons_ty=1. hAPP_P1066308164on_val=1. hAPP_P1760219823on_val=1. hAPP_P1849522950t_char=1. hAPP_P1871645065t_char=1. hAPP_P1883022279on_val=1. hAPP_P1936714534on_val=1. hAPP_P193916115t_char=1. hAPP_P2024243179on_val=1. hAPP_P616991870t_char=1. hAPP_P931655063on_val=1. hAPP_P94592612on_val=1. hAPP_P963849987on_val=1. hAPP_f10074679l_bool=1. hAPP_f1008932791l_bool=1. hAPP_f1027788897on_val=1. hAPP_f1046102489l_bool=1. hAPP_f1050935001l_bool=1. hAPP_f1060117847l_bool=1. hAPP_f1090377327r_bool=1. hAPP_f1104067989r_bool=1. hAPP_f1121083449l_bool=1. hAPP_f1136596083l_bool=1. hAPP_f1145256474l_bool=1. hAPP_f1212990632l_bool=1. hAPP_f1239545903on_val=1. hAPP_f1255886347l_bool=1. hAPP_f1261046903l_bool=1. hAPP_f1271281289on_val=1. hAPP_f1279517141l_bool=1. hAPP_f1309113673on_val=1. hAPP_f1326058377l_bool=1. hAPP_f1342895119l_bool=1. hAPP_f1345728193r_bool=1. hAPP_f1363667773l_bool=1. hAPP_f1371002581r_bool=1. hAPP_f1371969732r_bool=1. hAPP_f1401070501t_char=1. hAPP_f1455553822l_bool=1. hAPP_f1468279871l_bool=1. hAPP_f1492320500l_bool=1. hAPP_f1520199827on_val=1. hAPP_f1540354981l_bool=1. hAPP_f1546656185l_bool=1. hAPP_f15579599t_char=1. hAPP_f1617787571l_bool=1. hAPP_f1633332187r_bool=1. hAPP_f1645102644l_bool=1. hAPP_f166702051r_bool=1. hAPP_f1672439075r_bool=1. hAPP_f1675531861r_bool=1. hAPP_f1679543815on_val=1. hAPP_f1712766199l_bool=1. hAPP_f1725502637l_bool=1. hAPP_f1742268533r_bool=1. hAPP_f1800436403l_bool=1. hAPP_f1803975093l_bool=1. hAPP_f181262431l_bool=1. hAPP_f1866631480r_bool=1. hAPP_f1915623807r_bool=1. hAPP_f1937467848l_bool=1. hAPP_f1957179113r_bool=1. hAPP_f2030092415on_val=1. hAPP_f2039744637r_bool=1. hAPP_f204556415on_val=1. hAPP_f204771371l_bool=1. hAPP_f2057883639l_bool=1. hAPP_f2063458791l_bool=1. hAPP_f2093707285r_bool=1. hAPP_f21084934l_bool=1. hAPP_f2116844091t_char=1. hAPP_f314126729t_char=1. hAPP_f318082871l_bool=1. hAPP_f332734435r_bool=1. hAPP_f365540729l_bool=1. hAPP_f372404869on_val=1. hAPP_f394183983on_val=1. hAPP_f439412817l_bool=1. hAPP_f459877466r_bool=1. hAPP_f48091733on_val=1. hAPP_f489055607l_bool=1. hAPP_f502623122l_bool=1. hAPP_f505735499on_val=1. hAPP_f524589473l_bool=1. hAPP_f552081564l_bool=1. hAPP_f599509029on_val=1. hAPP_f603925568l_bool=1. hAPP_f639265145l_bool=1. hAPP_f660690413r_bool=1. hAPP_f716957699r_bool=1. hAPP_f737710471r_bool=1. hAPP_f749256120r_bool=1. hAPP_f757259503l_bool=1. hAPP_f770993243r_bool=1. hAPP_f775361359r_bool=1. hAPP_f781588360l_bool=1. hAPP_f797861231on_val=1. hAPP_f926562337l_bool=1. hAPP_f968085945r_bool=1. hAPP_l2054741776r_bool=1. hAPP_l2138409430r_bool=1. hAPP_l512744617ion_ty=1. cons_list_char=1. cons_val=1. hAPP_P1776198677on_val=1. hAPP_P2083594489on_val=1. hAPP_P308812685on_val=1. hAPP_e108155315on_val=1. hAPP_e1410803407on_val=1. hAPP_f1297079863t_char=1. hAPP_f1416324670on_val=1. hAPP_f1555843780t_char=1. hAPP_f157410348t_char=1. hAPP_f1614126606on_val=1. hAPP_f1628326017t_char=1. hAPP_f1840640125on_val=1. hAPP_f1911830329t_char=1. hAPP_f1926378906on_val=1. hAPP_f2106552235on_val=1. hAPP_f336970122on_val=1. hAPP_f338074126t_char=1. hAPP_f600512025on_val=1. hAPP_f602593190on_val=1. hAPP_f637291415on_val=1. hAPP_f78832750t_char=1. hAPP_f848628235t_char=1. hAPP_f865889457on_val=1. hAPP_f998724171on_val=1. hAPP_l1004879342on_val=1. hAPP_l1012006762on_val=1. hAPP_l1870161525on_val=1. hAPP_l221195696on_val=1. hAPP_l451552092on_val=1. hAPP_l80874262on_val=1. hAPP_l867549837on_val=1. f2=1. f3=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. 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. f186=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. 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. f300=1. f301=1. f302=1. f303=1. f304=1. f305=1. f306=1. f307=1. f308=1. f309=1. f310=1. f311=1. f312=1. f313=1. f314=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. f331=1. f332=1. f333=1. f334=1. f335=1. f393=1. f394=1. f395=1. f396=1. f397=1. f398=1. f399=1. f400=1. f401=1. f402=1. f403=1. f404=1. f405=1. f406=1. f407=1. f408=1. f409=1. f410=1. f411=1. f412=1. f413=1. f414=1. f415=1. f416=1. f417=1. f418=1. f419=1. f420=1. f421=1. f422=1. f423=1. f424=1. f425=1. f426=1. f427=1. f428=1. f429=1. f430=1. f431=1. f432=1. f433=1. f434=1. f435=1. f436=1. f437=1. f438=1. f439=1. f440=1. f441=1. f442=1. f443=1. f444=1. f445=1. f446=1. f447=1. f448=1. f449=1. f450=1. f451=1. f452=1. f453=1. f454=1. f455=1. f456=1. f457=1. f458=1. f459=1. f460=1. f461=1. f462=1. f463=1. f464=1. f465=1. f466=1. throw_list_char=1. red=1. transi2024712006on_val=1. bool=1. transi374442731on_val=1. addr=1. transi1395422419t_char=1. reds=1. addr_of_sys_xcpt=1. transi1095029602t_char=1. transi122195895t_char=1. transi1257872013t_char=1. transi1789604888t_char=1. transi208336786on_val=1. transi61620055on_val=1. transi910771962on_val=1. transi921647814on_val=1. lconf_496643946t_char=1. final_list_char=1. hconf_97414254t_char=1. hp=1. default_val=1. finals_list_char=1. is_refT=1. some_P948696889on_val=1. some_val=1. blocks=1. some_ty=1. the_Addr=1. f1=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=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. 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. 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. 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. 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. 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. f336=1. f337=1. f338=1. f339=1. f340=1. f341=1. f342=1. f343=1. f344=1. f345=1. f346=1. f347=1. f348=1. f349=1. f350=1. f351=1. f352=1. f353=1. f354=1. f355=1. f356=1. f357=1. f358=1. f359=1. f360=1. f361=1. f362=1. f363=1. f364=1. f365=1. f366=1. f367=1. f368=1. f369=1. f370=1. f371=1. f372=1. f373=1. f374=1. f375=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. f388=1. f389=1. eval=1. redp=1. cond_list_char=1. fAcc_list_char=1. call_list_char=1. evals=1. binOp_list_char=1. widen_2090681816t_char=1. block_list_char=1. redsp=1. f567=1. f568=1. f569=1. f570=1. f571=1. f572=1. f573=1. f574=1. fAss_list_char=1. tryCatch_list_char=1. f575=1. f576=1. f577=1. f578=1. f579=1. f580=1. f581=1. f582=1. f583=1. f584=1. f585=1. f586=1. wTrt=1. wTrts=1. f547=1. f548=1. f549=1. f550=1. f551=1. f552=1. f553=1. f554=1. f555=1. f556=1. f557=1. f558=1. f559=1. f560=1. f561=1. f562=1. f563=1. f564=1. f565=1. f566=1. f587=1. f588=1. f589=1. f390=1. f467=1. f468=1. f469=1. f470=1. f471=1. f472=1. f473=1. f474=1. f475=1. f476=1. f477=1. f478=1. f479=1. f480=1. f481=1. f482=1. f483=1. f484=1. f485=1. f486=1. f487=1. f488=1. f489=1. f490=1. f491=1. f492=1. f493=1. f494=1. f495=1. f496=1. f497=1. f498=1. f499=1. f500=1. f501=1. f502=1. f503=1. f504=1. f505=1. f506=1. f507=1. f508=1. f509=1. f510=1. f511=1. f512=1. f513=1. f514=1. f515=1. f516=1. f517=1. f518=1. f519=1. f520=1. f521=1. f522=1. f523=1. f524=1. f525=1. f526=1. f527=1. f528=1. f529=1. f530=1. f531=1. f532=1. f533=1. f534=1. f535=1. f536=1. f537=1. f538=1. f539=1. f540=1. f541=1. f542=1. f543=1. f544=1. f545=1. f546=1. f590=1. f591=1. f592=1. f593=1. f594=1. f595=1. f596=1. f597=1. f598=1. f599=1. f600=1. f601=1. f602=1. f606=1. f607=1. f391=1. f392=1. f603=1. f604=1. f605=1.
% 10.09/10.34
% 10.09/10.34 ============================== end of process initial clauses ========
% 10.09/10.34
% 10.09/10.34 ============================== CLAUSES FOR SEARCH ====================
% 10.09/10.34
% 10.09/10.34 ============================== end of clauses for search =============
% 10.09/10.34
% 10.09/10.34 ============================== SEARCH ================================
% 10.09/10.34
% 10.09/10.34 % Starting search at 1.46 seconds.
% 10.09/10.34
% 10.09/10.34 Low Water (keep): wt=108.000, iters=3372
% 10.09/10.34
% 10.09/10.34 Low Water (keep): wt=103.000, iters=3390
% 10.09/10.34
% 10.09/10.34 Low Water (keep): wt=98.000, iters=3422
% 10.09/10.34
% 10.09/10.34 Low Water (keep): wt=83.000, iters=3390
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=77.000, iters=3377
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=75.000, iters=3438
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=73.000, iters=3363
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=72.000, iters=3376
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=68.000, iters=3371
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=66.000, iters=3354
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=65.000, iters=3374
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=61.000, iters=3367
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=60.000, iters=3372
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=58.000, iters=3364
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=49.000, iters=3339
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=48.000, iters=3380
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=47.000, iters=3382
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=46.000, iters=3341
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=45.000, iters=3681
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=43.000, iters=3349
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=40.000, iters=3471
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=39.000, iters=3386
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=38.000, iters=3342
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=37.000, iters=3543
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=35.000, iters=3388
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=33.000, iters=3416
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=30.000, iters=3369
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=28.000, iters=3335
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=27.000, iters=3409
% 139.39/139.72
% 139.39/139.72 Low Water (displace): id=4368, wt=144.000
% 139.39/139.72
% 139.39/139.72 Low Water (displace): id=4041, wt=139.000
% 139.39/139.72
% 139.39/139.72 Low Water (displace): id=16508, wt=24.000
% 139.39/139.72
% 139.39/139.72 Low Water (displace): id=16512, wt=23.000
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=26.000, iters=3388
% 139.39/139.72
% 139.39/139.72 Low Water (displace): id=17186, wt=22.000
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=25.000, iters=3365
% 139.39/139.72
% 139.39/139.72 Low Water (displace): id=17328, wt=16.000
% 139.39/139.72
% 139.39/139.72 Low Water (displace): id=17365, wt=12.000
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=24.000, iters=3334
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=23.000, iters=3373
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=22.000, iters=3346
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=21.000, iters=3361
% 139.39/139.72
% 139.39/139.72 Low Water (keep): wt=20.000, iters=3336
% 139.39/139.72
% 139.39/139.72 ============================== STATISTICS ============================
% 139.39/139.72
% 139.39/139.72 Given=2759. Generated=593135. Kept=62858. proofs=0.
% 139.39/139.72 Usable=2429. Sos=9999. Demods=444. Limbo=280, Disabled=51453. Hints=0.
% 139.39/139.72 Kept_by_rule=0, Deleted_by_rule=30.
% 139.39/139.72 Forward_subsumed=289704. Back_subsumed=2555.
% 139.39/139.72 Sos_limit_deleted=240543. Sos_displaced=43984. Sos_removed=0.
% 139.39/139.72 New_demodulators=986 (0 lex), Back_demodulated=3609. Back_unit_deleted=1.
% 139.39/139.72 Demod_attempts=10596146. Demod_rewrites=578921.
% 139.39/139.72 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 139.39/139.72 Nonunit_fsub_feature_tests=1881623. Nonunit_bsub_feature_tests=340751.
% 139.39/139.72 Megabytes=419.43.
% 139.39/139.72 User_CPU=137.71, System_CPU=0.55, Wall_clock=139.
% 139.39/139.72
% 139.39/139.72 Megs malloced by palloc(): 400.
% 139.39/139.72 type (bytes each) gets frees in use bytes
% 139.39/139.72 chunk ( 104) 37783 37783 0 0.0 K
% 139.39/139.72 string_buf ( 8) 31856 31856 0 0.0 K
% 139.39/139.72 token ( 20) 88237 88237 0 0.0 K
% 139.39/139.72 pterm ( 16) 50950 50950 0 0.0 K
% 139.39/139.72 hashtab ( 8) 808 808 0 0.0 K
% 139.39/139.72 hashnode ( 8) 2785 2785 0 0.0 K
% 139.39/139.72 term ( 20) 19593433 18741246 852187 16644.3 K
% 139.39/139.72 term arg arrays: 4548.6 K
% 139.39/139.72 attribute ( 12) 7438 228 7210 84.5 K
% 139.39/139.72 ilist ( 8) 1856885987 1856632784 253203 1978.1 K
% 139.39/139.72 plist ( 8) 1206653 1117158 89495 699.2 K
% 139.39/139.72 i2list ( 12) 4182712 4182712 0 0.0 K
% 139.39/139.72 just ( 12) 1066072 975501 90571 1061.4 K
% 139.39/139.72 parajust ( 16) 11185 8278 2907 45.4 K
% 139.39/139.72 instancejust ( 8) 0 0 0 0.0 K
% 139.39/139.72 ivyjust ( 24) 0 0 0 0.0 K
% 139.39/139.72 formula ( 28) 34302 21418 12884 352.3 K
% 139.39/139.72 formula arg arrays: 44.0 K
% 139.39/139.72 topform ( 52) 595247 530277 64970 3299.3 K
% 139.39/139.72 clist_pos ( 20) 181936 117331 64605 1261.8 K
% 139.39/139.72 clist ( 16) 8 1 7 0.1 K
% 139.39/139.72 context ( 808) 4254631 4254629 2 1.6 K
% 139.39/139.72 trail ( 12) 7655671 7655669 2 0.0 K
% 139.39/139.72 ac_match_pos (70044) 0 0 0 0.0 K
% 139.39/139.72 ac_match_free_vars_pos (20020)
% 139.39/139.72 0 0 0 0.0 K
% 139.39/139.72 btm_state ( 60) 0 0 0 0.0 K
% 139.48/139.72 btu_state ( 60) 0 0 0 0.0 K
% 139.48/139.72 ac_position (285432) 0 0 0 0.0 K
% 139.48/139.72 fpa_trie ( 20) 715508 248353 467155 9124.1 K
% 139.48/139.72 fpa_state ( 28) 648779 647847 932 25.5 K
% 139.48/139.72 fpa_index ( 12) 10 0 10 0.1 K
% 139.48/139.72 fpa_chunk ( 20) 488486 404583 83903 1638.7 K
% 139.48/139.72 fpa_list ( 16) 310757 0 310757 4855.6 K
% 139.48/139.72 fpa_list chunks: 2695.6 K
% 139.48/139.72 discrim ( 12) 38316 19167 19149 224.4 K
% 139.48/139.72 discrim_pos ( 16) 582934 582934 0 0.0 K
% 139.48/139.72 flat2 ( 32) 8961357 8961357 0 0.0 K
% 139.48/139.72 flat ( 48) 0 0 0 0.0 K
% 139.48/139.72 flatterm ( 32) 16646909 16646909 0 0.0 K
% 139.48/139.72 mindex ( 28) 13 0 13 0.4 K
% 139.48/139.72 mindex_pos ( 56) 2974974 2974973 1 0.1 K
% 139.48/139.72 lindex ( 12) 5 0 5 0.1 K
% 139.48/139.72 clash ( 40) 0 0 0 0.0 K
% 139.48/139.72 di_tree ( 12) 153498921 122958837 30540084 357891.6 K
% 139.48/139.72 avl_node ( 20) 123866 103868 19998 390.6 K
% 139.48/139.72
% 139.48/139.72 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 139.48/139.72 List 1, length 4, 0.0 K
% 139.48/139.72 List 6, length 2, 0.0 K
% 139.48/139.72 List 7, length 156, 4.3 K
% 139.48/139.72 List 8, length 11, 0.3 K
% 139.48/139.72 List 9, length 6, 0.2 K
% 139.48/139.72 List 10, length 5, 0.2 K
% 139.48/139.72 List 11, length 8, 0.3 K
% 139.48/139.72 List 12, length 7, 0.3 K
% 139.48/139.72 List 14, length 1, 0.1 K
% 139.48/139.72 List 16, length 6760, 422.5 K
% 139.48/139.72 List 26, length 163, 16.6 K
% 139.48/139.72 List 32, length 1918, 239.8 K
% 139.48/139.72 List 36, length 2, 0.3 K
% 139.48/139.72 List 64, length 554, 138.5 K
% 139.48/139.72 List 202, length 2, 1.6 K
% 139.48/139.72
% 139.48/139.72 ============================== SELECTOR REPORT =======================
% 139.48/139.72 Sos_deleted=240543, Sos_displaced=43984, Sos_size=9999
% 139.48/139.72 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 139.48/139.72 I 2147483647 high age 0 1262
% 139.48/139.72 H 1 high weight 0 0
% 139.48/139.72 A 1 low age 9999 300
% 139.48/139.72 F 4 low weight 0 1
% 139.48/139.72 T 4 low weight 9999 1196
% 139.48/139.72 ============================== end of selector report ================
% 139.48/139.72
% 139.48/139.72 ============================== end of statistics =====================
% 139.48/139.72
% 139.48/139.72 Exiting with failure.
% 139.48/139.72
% 139.48/139.72 Process 11156 exit (max_megs) Sun Jun 5 09:00:08 2022
% 139.48/139.72 Prover9 interrupted
%------------------------------------------------------------------------------