TSTP Solution File: SWW475+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW475+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:17:12 EDT 2022
% Result : Timeout 300.03s 300.28s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW475+1 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 4 17:34:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.04/1.32 ============================== Prover9 ===============================
% 1.04/1.32 Prover9 (32) version 2009-11A, November 2009.
% 1.04/1.32 Process 13700 was started by sandbox2 on n020.cluster.edu,
% 1.04/1.32 Sat Jun 4 17:34:08 2022
% 1.04/1.32 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13547_n020.cluster.edu".
% 1.04/1.32 ============================== end of head ===========================
% 1.04/1.32
% 1.04/1.32 ============================== INPUT =================================
% 1.04/1.32
% 1.04/1.32 % Reading from file /tmp/Prover9_13547_n020.cluster.edu
% 1.04/1.32
% 1.04/1.32 set(prolog_style_variables).
% 1.04/1.32 set(auto2).
% 1.04/1.32 % set(auto2) -> set(auto).
% 1.04/1.32 % set(auto) -> set(auto_inference).
% 1.04/1.32 % set(auto) -> set(auto_setup).
% 1.04/1.32 % set(auto_setup) -> set(predicate_elim).
% 1.04/1.32 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.04/1.32 % set(auto) -> set(auto_limits).
% 1.04/1.32 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.04/1.32 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.04/1.32 % set(auto) -> set(auto_denials).
% 1.04/1.32 % set(auto) -> set(auto_process).
% 1.04/1.32 % set(auto2) -> assign(new_constants, 1).
% 1.04/1.32 % set(auto2) -> assign(fold_denial_max, 3).
% 1.04/1.32 % set(auto2) -> assign(max_weight, "200.000").
% 1.04/1.32 % set(auto2) -> assign(max_hours, 1).
% 1.04/1.32 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.04/1.32 % set(auto2) -> assign(max_seconds, 0).
% 1.04/1.32 % set(auto2) -> assign(max_minutes, 5).
% 1.04/1.32 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.04/1.32 % set(auto2) -> set(sort_initial_sos).
% 1.04/1.32 % set(auto2) -> assign(sos_limit, -1).
% 1.04/1.32 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.04/1.32 % set(auto2) -> assign(max_megs, 400).
% 1.04/1.32 % set(auto2) -> assign(stats, some).
% 1.04/1.32 % set(auto2) -> clear(echo_input).
% 1.04/1.32 % set(auto2) -> set(quiet).
% 1.04/1.32 % set(auto2) -> clear(print_initial_clauses).
% 1.04/1.32 % set(auto2) -> clear(print_given).
% 1.04/1.32 assign(lrs_ticks,-1).
% 1.04/1.32 assign(sos_limit,10000).
% 1.04/1.32 assign(order,kbo).
% 1.04/1.32 set(lex_order_vars).
% 1.04/1.32 clear(print_given).
% 1.04/1.32
% 1.04/1.32 % formulas(sos). % not echoed (272 formulas)
% 1.04/1.32
% 1.04/1.32 ============================== end of input ==========================
% 1.04/1.32
% 1.04/1.32 % From the command line: assign(max_seconds, 300).
% 1.04/1.32
% 1.04/1.32 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.04/1.32
% 1.04/1.32 % Formulas that are not ordinary clauses:
% 1.04/1.32 1 (all B_1_1 all B_2_1 is_bool(hconf_97414254t_char(B_1_1,B_2_1))) # label(gsy_c_Conform_Ohconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) # label(hypothesis) # label(non_clause). [assumption].
% 1.04/1.32 2 (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].
% 1.04/1.32 3 (all B_1_1 all B_2_1 all B_3 all B_4 all B_5 is_bool(wTrt(B_1_1,B_2_1,B_3,B_4,B_5))) # label(gsy_c_WellTypeRT_OWTrt) # label(hypothesis) # label(non_clause). [assumption].
% 1.04/1.32 4 (all B_1_1 all B_2_1 is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 5 (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].
% 1.04/1.32 6 (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].
% 1.04/1.32 7 (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].
% 1.04/1.32 8 (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].
% 1.04/1.32 9 (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].
% 1.04/1.32 10 (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].
% 1.04/1.32 11 (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].
% 1.04/1.32 12 (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].
% 1.04/1.32 13 (all B_1_1 all B_2_1 is_bool(member773094996on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) # label(hypothesis) # label(non_clause). [assumption].
% 1.04/1.32 14 (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].
% 1.04/1.32 15 (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].
% 1.04/1.32 16 (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].
% 1.04/1.32 17 (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].
% 1.04/1.32 18 (all B_1_1 all B_2_1 is_bool(member2032527242on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 19 (all B_1_1 all B_2_1 is_bool(member712690550on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 20 (all B_1_1 all B_2_1 is_bool(member1837727190on_val(B_1_1,B_2_1))) # label(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Exp) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 21 (all X all Pa ((all A_8 all B_1 all C_2 all D_1 all E_1 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_8,produc1611380469on_val(B_1,produc379668296on_val(C_2,produc899768717on_val(D_1,E_1))))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X)))) # label(fact_0_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 22 (all X all Pa ((all A_8 all B_1 all C_2 all D_1 all E_1 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_8,produc1441475159on_val(B_1,produc1259058957on_val(C_2,produc899768717on_val(D_1,E_1))))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X)))) # label(fact_1_prod__induct5) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 23 (all Y_1 -(all A_8 all B_1 all C_2 all D_1 all E_1 Y_1 != produc1951691075on_val(A_8,produc1611380469on_val(B_1,produc379668296on_val(C_2,produc899768717on_val(D_1,E_1)))))) # label(fact_2_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 24 (all Y_1 -(all A_8 all B_1 all C_2 all D_1 all E_1 Y_1 != produc1564932627on_val(A_8,produc1441475159on_val(B_1,produc1259058957on_val(C_2,produc899768717on_val(D_1,E_1)))))) # label(fact_3_prod__cases5) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 25 (all X all Pa ((all A_8 all B_1 all C_2 all D_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_8,produc379668296on_val(B_1,produc899768717on_val(C_2,D_1)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X)))) # label(fact_4_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 26 (all X all Pa ((all A_8 all B_1 all C_2 all D_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_8,produc1259058957on_val(B_1,produc899768717on_val(C_2,D_1)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X)))) # label(fact_5_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 27 (all X all Pa ((all A_8 all B_1 all C_2 all D_1 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_8,produc1611380469on_val(B_1,produc379668296on_val(C_2,D_1)))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X)))) # label(fact_6_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 28 (all X all Pa ((all A_8 all B_1 all C_2 all D_1 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_8,produc1441475159on_val(B_1,produc1259058957on_val(C_2,D_1)))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X)))) # label(fact_7_prod__induct4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 29 (all Y_1 -(all A_8 all B_1 all C_2 all D_1 Y_1 != produc1611380469on_val(A_8,produc379668296on_val(B_1,produc899768717on_val(C_2,D_1))))) # label(fact_8_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 30 (all Y_1 -(all A_8 all B_1 all C_2 all D_1 Y_1 != produc1441475159on_val(A_8,produc1259058957on_val(B_1,produc899768717on_val(C_2,D_1))))) # label(fact_9_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 31 (all Y_1 -(all A_8 all B_1 all C_2 all D_1 Y_1 != produc1951691075on_val(A_8,produc1611380469on_val(B_1,produc379668296on_val(C_2,D_1))))) # label(fact_10_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 32 (all Y_1 -(all A_8 all B_1 all C_2 all D_1 Y_1 != produc1564932627on_val(A_8,produc1441475159on_val(B_1,produc1259058957on_val(C_2,D_1))))) # label(fact_11_prod__cases4) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 33 (all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> hBOOL(hext(Ha,H_a)))) # label(fact_12_red__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 34 (all X all Pa ((all A_8 all B_1 all C_2 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_8,produc899768717on_val(B_1,C_2))))) -> hBOOL(hAPP_P71593144l_bool(Pa,X)))) # label(fact_13_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 35 (all X all Pa ((all A_8 all B_1 all C_2 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_8,produc379668296on_val(B_1,C_2))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,X)))) # label(fact_14_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 36 (all X all Pa ((all A_8 all B_1 all C_2 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_8,produc899768717on_val(B_1,C_2))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,X)))) # label(fact_15_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 37 (all X all Pa ((all A_8 all B_1 all C_2 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_8,produc1259058957on_val(B_1,C_2))))) -> hBOOL(hAPP_P282169671l_bool(Pa,X)))) # label(fact_16_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 38 (all X all Pa ((all A_8 all B_1 all C_2 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_8,produc1611380469on_val(B_1,C_2))))) -> hBOOL(hAPP_P2028072621l_bool(Pa,X)))) # label(fact_17_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 39 (all X all Pa ((all A_8 all B_1 all C_2 hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_8,produc899768717on_val(B_1,C_2))))) -> hBOOL(hAPP_P1221872711l_bool(Pa,X)))) # label(fact_18_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 40 (all X all Pa ((all A_8 all B_1 all C_2 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_8,produc1441475159on_val(B_1,C_2))))) -> hBOOL(hAPP_P378063101l_bool(Pa,X)))) # label(fact_19_prod__induct3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 41 (all Y_1 -(all A_8 all B_1 all C_2 Y_1 != produc379668296on_val(A_8,produc899768717on_val(B_1,C_2)))) # label(fact_20_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 42 (all Y_1 -(all A_8 all B_1 all C_2 Y_1 != produc1611380469on_val(A_8,produc379668296on_val(B_1,C_2)))) # label(fact_21_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 43 (all Y_1 -(all A_8 all B_1 all C_2 Y_1 != produc1259058957on_val(A_8,produc899768717on_val(B_1,C_2)))) # label(fact_22_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 44 (all Y_1 -(all A_8 all B_1 all C_2 Y_1 != produc1441475159on_val(A_8,produc1259058957on_val(B_1,C_2)))) # label(fact_23_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 45 (all Y_1 -(all A_8 all B_1 all C_2 Y_1 != produc1951691075on_val(A_8,produc1611380469on_val(B_1,C_2)))) # label(fact_24_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 46 (all Y_1 -(all A_8 all B_1 all C_2 Y_1 != produc870913623on_val(A_8,produc899768717on_val(B_1,C_2)))) # label(fact_25_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 47 (all Y_1 -(all A_8 all B_1 all C_2 Y_1 != produc1564932627on_val(A_8,produc1441475159on_val(B_1,C_2)))) # label(fact_26_prod__cases3) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 48 (all Pa ((all X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_8,B_1)))))) # label(fact_27_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 49 (all Pa ((all X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_8,B_1)))))) # label(fact_28_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 50 (all Pa ((all X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_8,B_1)))))) # label(fact_29_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 51 (all Pa ((all X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_8,B_1)))))) # label(fact_30_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 52 (all Pa ((all X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_8,B_1)))))) # label(fact_31_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 53 (all Pa ((all X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_8,B_1)))))) # label(fact_32_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 54 (all Pa ((all X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_8,B_1)))))) # label(fact_33_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 55 (all Pa ((all X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (all A_8 all B_1 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_8,B_1)))))) # label(fact_34_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 56 (all A_2 all B all A_12 all B_2 (produc379668296on_val(A_2,B) = produc379668296on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_35_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 57 (all A_2 all B all A_12 all B_2 (produc1611380469on_val(A_2,B) = produc1611380469on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_36_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 58 (all A_2 all B all A_12 all B_2 (produc899768717on_val(A_2,B) = produc899768717on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_37_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 59 (all A_2 all B all A_12 all B_2 (produc1259058957on_val(A_2,B) = produc1259058957on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_38_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 60 (all A_2 all B all A_12 all B_2 (produc1441475159on_val(A_2,B) = produc1441475159on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_39_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 61 (all A_2 all B all A_12 all B_2 (produc1951691075on_val(A_2,B) = produc1951691075on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_40_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 62 (all A_2 all B all A_12 all B_2 (produc870913623on_val(A_2,B) = produc870913623on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_41_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 63 (all A_2 all B all A_12 all B_2 (produc1564932627on_val(A_2,B) = produc1564932627on_val(A_12,B_2) <-> A_2 = A_12 & B = B_2)) # label(fact_42_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 64 (all A_2 all B all A_12 all B_2 (produc379668296on_val(A_2,B) = produc379668296on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_43_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 65 (all A_2 all B all A_12 all B_2 (produc1611380469on_val(A_2,B) = produc1611380469on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_44_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 66 (all A_2 all B all A_12 all B_2 (produc899768717on_val(A_2,B) = produc899768717on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_45_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 67 (all A_2 all B all A_12 all B_2 (produc1259058957on_val(A_2,B) = produc1259058957on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_46_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 68 (all A_2 all B all A_12 all B_2 (produc1441475159on_val(A_2,B) = produc1441475159on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_47_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 69 (all A_2 all B all A_12 all B_2 (produc1951691075on_val(A_2,B) = produc1951691075on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_48_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 70 (all A_2 all B all A_12 all B_2 (produc870913623on_val(A_2,B) = produc870913623on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_49_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 71 (all A_2 all B all A_12 all B_2 (produc1564932627on_val(A_2,B) = produc1564932627on_val(A_12,B_2) -> -(A_2 = A_12 -> B != B_2))) # label(fact_50_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 72 (all Ha hBOOL(hext(Ha,Ha))) # label(fact_51_hext__refl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 73 (all H_a all Pa all Ha all E all Ea all T (hBOOL(wTrt(Pa,Ha,E,Ea,T)) -> (hBOOL(hext(Ha,H_a)) -> hBOOL(wTrt(Pa,H_a,E,Ea,T))))) # label(fact_52_WTrt__hext__mono) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 74 (all L_0 all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0,L_a)))),red(Pa))))) # label(fact_53_red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 75 (all Y_1 -(all A_8 all B_1 Y_1 != produc379668296on_val(A_8,B_1))) # label(fact_54_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 76 (all Y_1 -(all A_8 all B_1 Y_1 != produc1611380469on_val(A_8,B_1))) # label(fact_55_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 77 (all Y_1 -(all A_8 all B_1 Y_1 != produc899768717on_val(A_8,B_1))) # label(fact_56_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 78 (all Y_1 -(all A_8 all B_1 Y_1 != produc1259058957on_val(A_8,B_1))) # label(fact_57_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 79 (all Y_1 -(all A_8 all B_1 Y_1 != produc1441475159on_val(A_8,B_1))) # label(fact_58_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 80 (all Y_1 -(all A_8 all B_1 Y_1 != produc1951691075on_val(A_8,B_1))) # label(fact_59_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 81 (all Y_1 -(all A_8 all B_1 Y_1 != produc870913623on_val(A_8,B_1))) # label(fact_60_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 82 (all Y_1 -(all A_8 all B_1 Y_1 != produc1564932627on_val(A_8,B_1))) # label(fact_61_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 83 (all P -(all X_1 all Y P != produc379668296on_val(X_1,Y))) # label(fact_62_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.32 84 (all P -(all X_1 all Y P != produc1611380469on_val(X_1,Y))) # label(fact_63_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 85 (all P -(all X_1 all Y P != produc899768717on_val(X_1,Y))) # label(fact_64_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 86 (all P -(all X_1 all Y P != produc1259058957on_val(X_1,Y))) # label(fact_65_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 87 (all P -(all X_1 all Y P != produc1441475159on_val(X_1,Y))) # label(fact_66_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 88 (all P -(all X_1 all Y P != produc1951691075on_val(X_1,Y))) # label(fact_67_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 89 (all P -(all X_1 all Y P != produc870913623on_val(X_1,Y))) # label(fact_68_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 90 (all P -(all X_1 all Y P != produc1564932627on_val(X_1,Y))) # label(fact_69_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 91 (all Pa ((exists X1 hBOOL(hAPP_P71593144l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_8,B_1)))))) # label(fact_70_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 92 (all Pa ((exists X1 hBOOL(hAPP_P1333315679l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_8,B_1)))))) # label(fact_71_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 93 (all Pa ((exists X1 hBOOL(hAPP_P159683425l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_8,B_1)))))) # label(fact_72_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 94 (all Pa ((exists X1 hBOOL(hAPP_P1708370145l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_8,B_1)))))) # label(fact_73_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 95 (all Pa ((exists X1 hBOOL(hAPP_P282169671l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_8,B_1)))))) # label(fact_74_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 96 (all Pa ((exists X1 hBOOL(hAPP_P2028072621l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_8,B_1)))))) # label(fact_75_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 97 (all Pa ((exists X1 hBOOL(hAPP_P1221872711l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_8,B_1)))))) # label(fact_76_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 98 (all Pa ((exists X1 hBOOL(hAPP_P378063101l_bool(Pa,X1))) <-> (exists A_8 exists B_1 hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_8,B_1)))))) # label(fact_77_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 99 (all H all Ha all H_a (hBOOL(hext(Ha,H_a)) -> (hBOOL(hext(H_a,H)) -> hBOOL(hext(Ha,H))))) # label(fact_78_hext__trans) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 100 (all L_0 all Ea all Ha all La all E_a all H_a all L_a all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0,L_a)))),transi2024712006on_val(red(Pa)))))) # label(fact_79_Red__lcl__add) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 101 (all M1 all M2 all M3 map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3)) # label(fact_80_map__add__assoc) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 102 (all F_1 all A_2 all B (hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A_2,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_2),B)))) # label(fact_81_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 103 (all F_1 all A_2 all B (hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A_2,B))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_2),B)))) # label(fact_82_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 104 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A_2,B))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_2),B)))) # label(fact_83_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 105 (all F_1 all A_2 all B (hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A_2,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_2),B)))) # label(fact_84_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 106 (all F_1 all A_2 all B (hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A_2,B))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_2),B)))) # label(fact_85_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 107 (all F_1 all A_2 all B (hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A_2,B))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A_2),B)))) # label(fact_86_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 108 (all F_1 all A_2 all B (hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A_2,B))) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A_2),B)))) # label(fact_87_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 109 (all F_1 all A_2 all B (hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A_2,B))) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A_2),B)))) # label(fact_88_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 110 (all Esa all Ha all La all Es_a all H_a all L_a all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,produc899768717on_val(Ha,La)),produc379668296on_val(Es_a,produc899768717on_val(H_a,L_a))),reds(Pa))) -> hBOOL(hext(Ha,H_a)))) # label(fact_89_reds__hext__incr) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 111 (all C all V_1 all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V_1,E_2),S_1),produc1259058957on_val(tryCatch_list_char(E_a,C,V_1,E_2),S)),red(Pa))))) # label(fact_90_red__reds_OTryRed) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 112 (all F all D all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(fAcc_list_char(E_a,F,D),S)),red(Pa))))) # label(fact_91_red__reds_OFAccRed) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 113 (all C all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(cast_list_char(C,E_a),S)),red(Pa))))) # label(fact_92_red__reds_OCastRed) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 114 (all F_1 all A_2 all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A_2,B))))) # label(fact_93_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 115 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A_2,B))))) # label(fact_94_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 116 (all F_1 all A_2 all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A_2,B))))) # label(fact_95_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 117 (all F_1 all A_2 all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A_2,B))))) # label(fact_96_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 118 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A_2,B))))) # label(fact_97_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 119 (all F_1 all A_2 all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A_2,B))))) # label(fact_98_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 120 (all F_1 all A_2 all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A_2,B))))) # label(fact_99_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 121 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A_2,B))))) # label(fact_100_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 122 (all F_1 all A_2 all B (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A_2,B))))) # label(fact_101_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 123 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A_2,B))))) # label(fact_102_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 124 (all F_1 all A_2 all B (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A_2,B))))) # label(fact_103_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 125 (all F_1 all A_2 all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A_2,B))))) # label(fact_104_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 126 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A_2,B))))) # label(fact_105_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 127 (all F_1 all A_2 all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A_2,B))))) # label(fact_106_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 128 (all F_1 all A_2 all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A_2,B))))) # label(fact_107_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 129 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_2),B)) -> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A_2,B))))) # label(fact_108_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 130 (all F_1 all A_2 all B (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_2),B)) <-> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A_2,B))))) # label(fact_109_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 131 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_2),B)) <-> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A_2,B))))) # label(fact_110_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 132 (all F_1 all A_2 all B (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_2),B)) <-> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A_2,B))))) # label(fact_111_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 133 (all F_1 all A_2 all B (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_2),B)) <-> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A_2,B))))) # label(fact_112_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 134 (all F_1 all A_2 all B (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_2),B)) <-> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A_2,B))))) # label(fact_113_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 135 (all C all V_1 all E_2 all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V_1,E_2),S_1),produc1259058957on_val(tryCatch_list_char(E_a,C,V_1,E_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_114_TryReds) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 136 (all F all D all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(fAcc_list_char(E_a,F,D),S)),transi2024712006on_val(red(Pa)))))) # label(fact_115_FAccReds) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 137 (all C all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(cast_list_char(C,E_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_116_CastReds) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 138 (all A_2 all R hBOOL(member88670778on_val(produc1951691075on_val(A_2,A_2),transi208336786on_val(R)))) # label(fact_117_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 139 (all A_2 all R hBOOL(member563141460on_val(produc870913623on_val(A_2,A_2),transi921647814on_val(R)))) # label(fact_118_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 140 (all A_2 all R hBOOL(member808015754on_val(produc1564932627on_val(A_2,A_2),transi910771962on_val(R)))) # label(fact_119_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 141 (all A_2 all R hBOOL(member773094996on_val(produc1441475159on_val(A_2,A_2),transi2024712006on_val(R)))) # label(fact_120_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 142 (all A_2 all R hBOOL(member875476972on_val(produc1611380469on_val(A_2,A_2),transi374442731on_val(R)))) # label(fact_121_rtrancl_Ortrancl__refl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 143 (all P all R (hBOOL(member88670778on_val(P,R)) -> hBOOL(member88670778on_val(P,transi208336786on_val(R))))) # label(fact_122_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 144 (all P all R (hBOOL(member563141460on_val(P,R)) -> hBOOL(member563141460on_val(P,transi921647814on_val(R))))) # label(fact_123_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 145 (all P all R (hBOOL(member808015754on_val(P,R)) -> hBOOL(member808015754on_val(P,transi910771962on_val(R))))) # label(fact_124_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 146 (all P all R (hBOOL(member773094996on_val(P,R)) -> hBOOL(member773094996on_val(P,transi2024712006on_val(R))))) # label(fact_125_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 147 (all P all R (hBOOL(member875476972on_val(P,R)) -> hBOOL(member875476972on_val(P,transi374442731on_val(R))))) # label(fact_126_r__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 148 (all Exp_41 all List1_21 all List2_21 all Exp1_11 all List_21 all A_13 all Exp2_11 fAcc_list_char(Exp_41,List1_21,List2_21) != tryCatch_list_char(Exp1_11,List_21,A_13,Exp2_11)) # label(fact_127_exp_Osimps_I168_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 149 (all R transi208336786on_val(transi208336786on_val(R)) = transi208336786on_val(R)) # label(fact_128_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 150 (all R transi921647814on_val(transi921647814on_val(R)) = transi921647814on_val(R)) # label(fact_129_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 151 (all R transi910771962on_val(transi910771962on_val(R)) = transi910771962on_val(R)) # label(fact_130_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 152 (all R transi2024712006on_val(transi2024712006on_val(R)) = transi2024712006on_val(R)) # label(fact_131_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 153 (all R transi374442731on_val(transi374442731on_val(R)) = transi374442731on_val(R)) # label(fact_132_rtrancl__idemp) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 154 (all List_20 all Exp_11 all List_19 all Exp_10 (cast_list_char(List_20,Exp_11) = cast_list_char(List_19,Exp_10) <-> List_20 = List_19 & Exp_11 = Exp_10)) # label(fact_133_exp_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 155 (all Exp_11 all List1_5 all List2_5 all Exp_10 all List1_4 all List2_4 (fAcc_list_char(Exp_11,List1_5,List2_5) = fAcc_list_char(Exp_10,List1_4,List2_4) <-> Exp_11 = Exp_10 & List1_5 = List1_4 & List2_5 = List2_4)) # label(fact_134_exp_Osimps_I7_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 156 (all Exp1_10 all List_20 all A_2 all Exp2_10 all Exp1_9 all List_19 all A_12 all Exp2_9 (tryCatch_list_char(Exp1_10,List_20,A_2,Exp2_10) = tryCatch_list_char(Exp1_9,List_19,A_12,Exp2_9) <-> Exp1_10 = Exp1_9 & List_20 = List_19 & A_2 = A_12 & Exp2_10 = Exp2_9)) # label(fact_135_exp_Osimps_I15_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 157 (all C_1 all A_2 all B all R (hBOOL(member88670778on_val(produc1951691075on_val(A_2,B),transi208336786on_val(R))) -> (hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),transi208336786on_val(R))) -> hBOOL(member88670778on_val(produc1951691075on_val(A_2,C_1),transi208336786on_val(R)))))) # label(fact_136_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 158 (all C_1 all A_2 all B all R (hBOOL(member563141460on_val(produc870913623on_val(A_2,B),transi921647814on_val(R))) -> (hBOOL(member563141460on_val(produc870913623on_val(B,C_1),transi921647814on_val(R))) -> hBOOL(member563141460on_val(produc870913623on_val(A_2,C_1),transi921647814on_val(R)))))) # label(fact_137_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 159 (all C_1 all A_2 all B all R (hBOOL(member808015754on_val(produc1564932627on_val(A_2,B),transi910771962on_val(R))) -> (hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),transi910771962on_val(R))) -> hBOOL(member808015754on_val(produc1564932627on_val(A_2,C_1),transi910771962on_val(R)))))) # label(fact_138_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 160 (all C_1 all A_2 all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A_2,B),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),transi2024712006on_val(R))) -> hBOOL(member773094996on_val(produc1441475159on_val(A_2,C_1),transi2024712006on_val(R)))))) # label(fact_139_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 161 (all C_1 all A_2 all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A_2,B),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),transi374442731on_val(R))) -> hBOOL(member875476972on_val(produc1611380469on_val(A_2,C_1),transi374442731on_val(R)))))) # label(fact_140_rtrancl__trans) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 162 (all C_1 all A_2 all B all R (hBOOL(member88670778on_val(produc1951691075on_val(A_2,B),transi208336786on_val(R))) -> (hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),R)) -> hBOOL(member88670778on_val(produc1951691075on_val(A_2,C_1),transi208336786on_val(R)))))) # label(fact_141_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 163 (all C_1 all A_2 all B all R (hBOOL(member563141460on_val(produc870913623on_val(A_2,B),transi921647814on_val(R))) -> (hBOOL(member563141460on_val(produc870913623on_val(B,C_1),R)) -> hBOOL(member563141460on_val(produc870913623on_val(A_2,C_1),transi921647814on_val(R)))))) # label(fact_142_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 164 (all C_1 all A_2 all B all R (hBOOL(member808015754on_val(produc1564932627on_val(A_2,B),transi910771962on_val(R))) -> (hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),R)) -> hBOOL(member808015754on_val(produc1564932627on_val(A_2,C_1),transi910771962on_val(R)))))) # label(fact_143_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 165 (all C_1 all A_2 all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A_2,B),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),R)) -> hBOOL(member773094996on_val(produc1441475159on_val(A_2,C_1),transi2024712006on_val(R)))))) # label(fact_144_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 166 (all C_1 all A_2 all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A_2,B),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),R)) -> hBOOL(member875476972on_val(produc1611380469on_val(A_2,C_1),transi374442731on_val(R)))))) # label(fact_145_rtrancl_Ortrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 167 (all C_1 all A_2 all B all R (hBOOL(member88670778on_val(produc1951691075on_val(A_2,B),R)) -> (hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),transi208336786on_val(R))) -> hBOOL(member88670778on_val(produc1951691075on_val(A_2,C_1),transi208336786on_val(R)))))) # label(fact_146_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 168 (all C_1 all A_2 all B all R (hBOOL(member563141460on_val(produc870913623on_val(A_2,B),R)) -> (hBOOL(member563141460on_val(produc870913623on_val(B,C_1),transi921647814on_val(R))) -> hBOOL(member563141460on_val(produc870913623on_val(A_2,C_1),transi921647814on_val(R)))))) # label(fact_147_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 169 (all C_1 all A_2 all B all R (hBOOL(member808015754on_val(produc1564932627on_val(A_2,B),R)) -> (hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),transi910771962on_val(R))) -> hBOOL(member808015754on_val(produc1564932627on_val(A_2,C_1),transi910771962on_val(R)))))) # label(fact_148_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 170 (all C_1 all A_2 all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A_2,B),R)) -> (hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),transi2024712006on_val(R))) -> hBOOL(member773094996on_val(produc1441475159on_val(A_2,C_1),transi2024712006on_val(R)))))) # label(fact_149_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 171 (all C_1 all A_2 all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A_2,B),R)) -> (hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),transi374442731on_val(R))) -> hBOOL(member875476972on_val(produc1611380469on_val(A_2,C_1),transi374442731on_val(R)))))) # label(fact_150_converse__rtrancl__into__rtrancl) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 172 (all Exp_40 all List1_20 all List2_20 all List_18 all Exp_39 fAcc_list_char(Exp_40,List1_20,List2_20) != cast_list_char(List_18,Exp_39)) # label(fact_151_exp_Osimps_I53_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 173 (all List_17 all Exp_38 all Exp_37 all List1_19 all List2_19 cast_list_char(List_17,Exp_38) != fAcc_list_char(Exp_37,List1_19,List2_19)) # label(fact_152_exp_Osimps_I52_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 174 (all Exp1_8 all List_16 all A_11 all Exp2_8 all List_15 all Exp_36 tryCatch_list_char(Exp1_8,List_16,A_11,Exp2_8) != cast_list_char(List_15,Exp_36)) # label(fact_153_exp_Osimps_I69_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 175 (all List_14 all Exp_35 all Exp1_7 all List_13 all A_10 all Exp2_7 cast_list_char(List_14,Exp_35) != tryCatch_list_char(Exp1_7,List_13,A_10,Exp2_7)) # label(fact_154_exp_Osimps_I68_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 176 (all Exp1_6 all List_12 all A_9 all Exp2_6 all Exp_34 all List1_18 all List2_18 tryCatch_list_char(Exp1_6,List_12,A_9,Exp2_6) != fAcc_list_char(Exp_34,List1_18,List2_18)) # label(fact_155_exp_Osimps_I169_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 177 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(Bx,By)),transi1751449568on_val(R))) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(A_8,B_1)),transi1751449568on_val(R))) -> (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_8,B_1),produc1951691075on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Bx),By)))))) # label(fact_156_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 178 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(Bx,By)),transi594096122on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(A_8,B_1)),transi594096122on_val(R))) -> (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_8,B_1),produc870913623on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Bx),By)))))) # label(fact_157_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 179 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(Bx,By)),transi678815536on_val(R))) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(A_8,B_1)),transi678815536on_val(R))) -> (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_8,B_1),produc1564932627on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Bx),By)))))) # label(fact_158_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 180 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(Bx,By)),transi910771962on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(A_8,B_1)),transi910771962on_val(R))) -> (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_8,B_1),produc1441475159on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)))))) # label(fact_159_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 181 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(Bx,By)),transi921647814on_val(R))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(A_8,B_1)),transi921647814on_val(R))) -> (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_8,B_1),produc899768717on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)))))) # label(fact_160_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 182 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(Bx,By)),transi208336786on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(A_8,B_1)),transi208336786on_val(R))) -> (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_8,B_1),produc1611380469on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)))))) # label(fact_161_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 183 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(Bx,By)),transi2024712006on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(A_8,B_1)),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_8,B_1),produc1259058957on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)))))) # label(fact_162_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 184 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(Bx,By)),transi374442731on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(A_8,B_1)),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_8,B_1),produc379668296on_val(Aa,Ba)),R)) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_8),B_1)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)))))) # label(fact_163_rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 185 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(Bx,By)),transi1751449568on_val(R))) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_8,B_1),produc1951691075on_val(Aa,Ba)),R)) -> (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Aa,Ba),produc1951691075on_val(Bx,By)),transi1751449568on_val(R))) -> (hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Ax),Ay)))))) # label(fact_164_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 186 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(Bx,By)),transi594096122on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_8,B_1),produc870913623on_val(Aa,Ba)),R)) -> (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Aa,Ba),produc870913623on_val(Bx,By)),transi594096122on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Ax),Ay)))))) # label(fact_165_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 187 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(Bx,By)),transi678815536on_val(R))) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_8,B_1),produc1564932627on_val(Aa,Ba)),R)) -> (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Aa,Ba),produc1564932627on_val(Bx,By)),transi678815536on_val(R))) -> (hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Ax),Ay)))))) # label(fact_166_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 188 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(Bx,By)),transi910771962on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_8,B_1),produc1441475159on_val(Aa,Ba)),R)) -> (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Aa,Ba),produc1441475159on_val(Bx,By)),transi910771962on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)))))) # label(fact_167_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 189 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(Bx,By)),transi921647814on_val(R))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_8,B_1),produc899768717on_val(Aa,Ba)),R)) -> (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Aa,Ba),produc899768717on_val(Bx,By)),transi921647814on_val(R))) -> (hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)))))) # label(fact_168_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.33 190 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(Bx,By)),transi208336786on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_8,B_1),produc1611380469on_val(Aa,Ba)),R)) -> (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Aa,Ba),produc1611380469on_val(Bx,By)),transi208336786on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)))))) # label(fact_169_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 191 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(Bx,By)),transi2024712006on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_8,B_1),produc1259058957on_val(Aa,Ba)),R)) -> (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Aa,Ba),produc1259058957on_val(Bx,By)),transi2024712006on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)))))) # label(fact_170_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 192 (all Pa all Ax all Ay all Bx all By all R (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(Bx,By)),transi374442731on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) -> ((all A_8 all B_1 all Aa all Ba (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_8,B_1),produc379668296on_val(Aa,Ba)),R)) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Aa,Ba),produc379668296on_val(Bx,By)),transi374442731on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_8),B_1)))))) -> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)))))) # label(fact_171_converse__rtrancl__induct2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 193 (all Xa all Xb all Za all Zb all R (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Xa,Xb),produc1951691075on_val(Za,Zb)),transi1751449568on_val(R))) -> (produc1951691075on_val(Xa,Xb) != produc1951691075on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Xa,Xb),produc1951691075on_val(A_8,B_1)),R)) -> -hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_8,B_1),produc1951691075on_val(Za,Zb)),transi1751449568on_val(R)))))))) # label(fact_172_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 194 (all Xa all Xb all Za all Zb all R (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Xa,Xb),produc870913623on_val(Za,Zb)),transi594096122on_val(R))) -> (produc870913623on_val(Xa,Xb) != produc870913623on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Xa,Xb),produc870913623on_val(A_8,B_1)),R)) -> -hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_8,B_1),produc870913623on_val(Za,Zb)),transi594096122on_val(R)))))))) # label(fact_173_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 195 (all Xa all Xb all Za all Zb all R (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Xa,Xb),produc1564932627on_val(Za,Zb)),transi678815536on_val(R))) -> (produc1564932627on_val(Xa,Xb) != produc1564932627on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Xa,Xb),produc1564932627on_val(A_8,B_1)),R)) -> -hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_8,B_1),produc1564932627on_val(Za,Zb)),transi678815536on_val(R)))))))) # label(fact_174_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 196 (all Xa all Xb all Za all Zb all R (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa,Xb),produc1441475159on_val(Za,Zb)),transi910771962on_val(R))) -> (produc1441475159on_val(Xa,Xb) != produc1441475159on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa,Xb),produc1441475159on_val(A_8,B_1)),R)) -> -hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_8,B_1),produc1441475159on_val(Za,Zb)),transi910771962on_val(R)))))))) # label(fact_175_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 197 (all Xa all Xb all Za all Zb all R (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa,Xb),produc899768717on_val(Za,Zb)),transi921647814on_val(R))) -> (produc899768717on_val(Xa,Xb) != produc899768717on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa,Xb),produc899768717on_val(A_8,B_1)),R)) -> -hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_8,B_1),produc899768717on_val(Za,Zb)),transi921647814on_val(R)))))))) # label(fact_176_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 198 (all Xa all Xb all Za all Zb all R (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa,Xb),produc1611380469on_val(Za,Zb)),transi208336786on_val(R))) -> (produc1611380469on_val(Xa,Xb) != produc1611380469on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa,Xb),produc1611380469on_val(A_8,B_1)),R)) -> -hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_8,B_1),produc1611380469on_val(Za,Zb)),transi208336786on_val(R)))))))) # label(fact_177_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 199 (all Xa all Xb all Za all Zb all R (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa,Xb),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R))) -> (produc1259058957on_val(Xa,Xb) != produc1259058957on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa,Xb),produc1259058957on_val(A_8,B_1)),R)) -> -hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_8,B_1),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R)))))))) # label(fact_178_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 200 (all Xa all Xb all Za all Zb all R (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa,Xb),produc379668296on_val(Za,Zb)),transi374442731on_val(R))) -> (produc379668296on_val(Xa,Xb) != produc379668296on_val(Za,Zb) -> -(all A_8 all B_1 (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa,Xb),produc379668296on_val(A_8,B_1)),R)) -> -hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_8,B_1),produc379668296on_val(Za,Zb)),transi374442731on_val(R)))))))) # label(fact_179_converse__rtranclE2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 201 (all A_2 all B all R (hBOOL(member88670778on_val(produc1951691075on_val(A_2,B),transi208336786on_val(R))) -> (A_2 != B -> -(all Y (hBOOL(member88670778on_val(produc1951691075on_val(A_2,Y),transi208336786on_val(R))) -> -hBOOL(member88670778on_val(produc1951691075on_val(Y,B),R))))))) # label(fact_180_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 202 (all A_2 all B all R (hBOOL(member563141460on_val(produc870913623on_val(A_2,B),transi921647814on_val(R))) -> (A_2 != B -> -(all Y (hBOOL(member563141460on_val(produc870913623on_val(A_2,Y),transi921647814on_val(R))) -> -hBOOL(member563141460on_val(produc870913623on_val(Y,B),R))))))) # label(fact_181_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 203 (all A_2 all B all R (hBOOL(member808015754on_val(produc1564932627on_val(A_2,B),transi910771962on_val(R))) -> (A_2 != B -> -(all Y (hBOOL(member808015754on_val(produc1564932627on_val(A_2,Y),transi910771962on_val(R))) -> -hBOOL(member808015754on_val(produc1564932627on_val(Y,B),R))))))) # label(fact_182_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 204 (all A_2 all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A_2,B),transi2024712006on_val(R))) -> (A_2 != B -> -(all Y (hBOOL(member773094996on_val(produc1441475159on_val(A_2,Y),transi2024712006on_val(R))) -> -hBOOL(member773094996on_val(produc1441475159on_val(Y,B),R))))))) # label(fact_183_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 205 (all A_2 all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A_2,B),transi374442731on_val(R))) -> (A_2 != B -> -(all Y (hBOOL(member875476972on_val(produc1611380469on_val(A_2,Y),transi374442731on_val(R))) -> -hBOOL(member875476972on_val(produc1611380469on_val(Y,B),R))))))) # label(fact_184_rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 206 (all X all Z_1 all R (hBOOL(member88670778on_val(produc1951691075on_val(X,Z_1),transi208336786on_val(R))) -> (X != Z_1 -> -(all Y (hBOOL(member88670778on_val(produc1951691075on_val(X,Y),R)) -> -hBOOL(member88670778on_val(produc1951691075on_val(Y,Z_1),transi208336786on_val(R)))))))) # label(fact_185_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 207 (all X all Z_1 all R (hBOOL(member563141460on_val(produc870913623on_val(X,Z_1),transi921647814on_val(R))) -> (X != Z_1 -> -(all Y (hBOOL(member563141460on_val(produc870913623on_val(X,Y),R)) -> -hBOOL(member563141460on_val(produc870913623on_val(Y,Z_1),transi921647814on_val(R)))))))) # label(fact_186_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 208 (all X all Z_1 all R (hBOOL(member808015754on_val(produc1564932627on_val(X,Z_1),transi910771962on_val(R))) -> (X != Z_1 -> -(all Y (hBOOL(member808015754on_val(produc1564932627on_val(X,Y),R)) -> -hBOOL(member808015754on_val(produc1564932627on_val(Y,Z_1),transi910771962on_val(R)))))))) # label(fact_187_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 209 (all X all Z_1 all R (hBOOL(member773094996on_val(produc1441475159on_val(X,Z_1),transi2024712006on_val(R))) -> (X != Z_1 -> -(all Y (hBOOL(member773094996on_val(produc1441475159on_val(X,Y),R)) -> -hBOOL(member773094996on_val(produc1441475159on_val(Y,Z_1),transi2024712006on_val(R)))))))) # label(fact_188_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 210 (all X all Z_1 all R (hBOOL(member875476972on_val(produc1611380469on_val(X,Z_1),transi374442731on_val(R))) -> (X != Z_1 -> -(all Y (hBOOL(member875476972on_val(produc1611380469on_val(X,Y),R)) -> -hBOOL(member875476972on_val(produc1611380469on_val(Y,Z_1),transi374442731on_val(R)))))))) # label(fact_189_converse__rtranclE) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 211 (all Pa all A_2 all B all R (hBOOL(member88670778on_val(produc1951691075on_val(A_2,B),transi208336786on_val(R))) -> (hBOOL(hAPP_P1333315679l_bool(Pa,A_2)) -> ((all Y all Z (hBOOL(member88670778on_val(produc1951691075on_val(A_2,Y),transi208336786on_val(R))) -> (hBOOL(member88670778on_val(produc1951691075on_val(Y,Z),R)) -> (hBOOL(hAPP_P1333315679l_bool(Pa,Y)) -> hBOOL(hAPP_P1333315679l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,B)))))) # label(fact_190_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 212 (all Pa all A_2 all B all R (hBOOL(member563141460on_val(produc870913623on_val(A_2,B),transi921647814on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(Pa,A_2)) -> ((all Y all Z (hBOOL(member563141460on_val(produc870913623on_val(A_2,Y),transi921647814on_val(R))) -> (hBOOL(member563141460on_val(produc870913623on_val(Y,Z),R)) -> (hBOOL(hAPP_P159683425l_bool(Pa,Y)) -> hBOOL(hAPP_P159683425l_bool(Pa,Z)))))) -> hBOOL(hAPP_P159683425l_bool(Pa,B)))))) # label(fact_191_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 213 (all Pa all A_2 all B all R (hBOOL(member808015754on_val(produc1564932627on_val(A_2,B),transi910771962on_val(R))) -> (hBOOL(hAPP_P282169671l_bool(Pa,A_2)) -> ((all Y all Z (hBOOL(member808015754on_val(produc1564932627on_val(A_2,Y),transi910771962on_val(R))) -> (hBOOL(member808015754on_val(produc1564932627on_val(Y,Z),R)) -> (hBOOL(hAPP_P282169671l_bool(Pa,Y)) -> hBOOL(hAPP_P282169671l_bool(Pa,Z)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,B)))))) # label(fact_192_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 214 (all Pa all A_2 all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A_2,B),transi2024712006on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,A_2)) -> ((all Y all Z (hBOOL(member773094996on_val(produc1441475159on_val(A_2,Y),transi2024712006on_val(R))) -> (hBOOL(member773094996on_val(produc1441475159on_val(Y,Z),R)) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Y)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Z)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,B)))))) # label(fact_193_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 215 (all Pa all A_2 all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A_2,B),transi374442731on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(Pa,A_2)) -> ((all Y all Z (hBOOL(member875476972on_val(produc1611380469on_val(A_2,Y),transi374442731on_val(R))) -> (hBOOL(member875476972on_val(produc1611380469on_val(Y,Z),R)) -> (hBOOL(hAPP_P71593144l_bool(Pa,Y)) -> hBOOL(hAPP_P71593144l_bool(Pa,Z)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,B)))))) # label(fact_194_rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 216 (all Pa all A_2 all B all R (hBOOL(member88670778on_val(produc1951691075on_val(A_2,B),transi208336786on_val(R))) -> (hBOOL(hAPP_P1333315679l_bool(Pa,B)) -> ((all Y all Z (hBOOL(member88670778on_val(produc1951691075on_val(Y,Z),R)) -> (hBOOL(member88670778on_val(produc1951691075on_val(Z,B),transi208336786on_val(R))) -> (hBOOL(hAPP_P1333315679l_bool(Pa,Z)) -> hBOOL(hAPP_P1333315679l_bool(Pa,Y)))))) -> hBOOL(hAPP_P1333315679l_bool(Pa,A_2)))))) # label(fact_195_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 217 (all Pa all A_2 all B all R (hBOOL(member563141460on_val(produc870913623on_val(A_2,B),transi921647814on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(Pa,B)) -> ((all Y all Z (hBOOL(member563141460on_val(produc870913623on_val(Y,Z),R)) -> (hBOOL(member563141460on_val(produc870913623on_val(Z,B),transi921647814on_val(R))) -> (hBOOL(hAPP_P159683425l_bool(Pa,Z)) -> hBOOL(hAPP_P159683425l_bool(Pa,Y)))))) -> hBOOL(hAPP_P159683425l_bool(Pa,A_2)))))) # label(fact_196_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 218 (all Pa all A_2 all B all R (hBOOL(member808015754on_val(produc1564932627on_val(A_2,B),transi910771962on_val(R))) -> (hBOOL(hAPP_P282169671l_bool(Pa,B)) -> ((all Y all Z (hBOOL(member808015754on_val(produc1564932627on_val(Y,Z),R)) -> (hBOOL(member808015754on_val(produc1564932627on_val(Z,B),transi910771962on_val(R))) -> (hBOOL(hAPP_P282169671l_bool(Pa,Z)) -> hBOOL(hAPP_P282169671l_bool(Pa,Y)))))) -> hBOOL(hAPP_P282169671l_bool(Pa,A_2)))))) # label(fact_197_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 219 (all Pa all A_2 all B all R (hBOOL(member773094996on_val(produc1441475159on_val(A_2,B),transi2024712006on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,B)) -> ((all Y all Z (hBOOL(member773094996on_val(produc1441475159on_val(Y,Z),R)) -> (hBOOL(member773094996on_val(produc1441475159on_val(Z,B),transi2024712006on_val(R))) -> (hBOOL(hAPP_P1708370145l_bool(Pa,Z)) -> hBOOL(hAPP_P1708370145l_bool(Pa,Y)))))) -> hBOOL(hAPP_P1708370145l_bool(Pa,A_2)))))) # label(fact_198_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 220 (all Pa all A_2 all B all R (hBOOL(member875476972on_val(produc1611380469on_val(A_2,B),transi374442731on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(Pa,B)) -> ((all Y all Z (hBOOL(member875476972on_val(produc1611380469on_val(Y,Z),R)) -> (hBOOL(member875476972on_val(produc1611380469on_val(Z,B),transi374442731on_val(R))) -> (hBOOL(hAPP_P71593144l_bool(Pa,Z)) -> hBOOL(hAPP_P71593144l_bool(Pa,Y)))))) -> hBOOL(hAPP_P71593144l_bool(Pa,A_2)))))) # label(fact_199_converse__rtrancl__induct) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 221 (all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_1),produc379668296on_val(cons_exp_list_char(E_a,Esa),S)),transi374442731on_val(reds(Pa)))))) # label(fact_200_ListReds1) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 222 (all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_1),produc379668296on_val(cons_exp_list_char(E_a,Esa),S)),reds(Pa))))) # label(fact_201_red__reds_OListRed1) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 223 (all Esa all Es_a all S_2 all Ea all S_0 all V all S_1_1 all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(val_list_char(V),S_1_1)),transi2024712006on_val(red(Pa)))) -> (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(Es_a,S_2)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_0),produc379668296on_val(cons_exp_list_char(val_list_char(V),Es_a),S_2)),transi374442731on_val(reds(Pa))))))) # label(fact_202_ListRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 224 (all V all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa)))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(val_list_char(V),Esa),S_1),produc379668296on_val(cons_exp_list_char(val_list_char(V),Es_a),S)),transi374442731on_val(reds(Pa)))))) # label(fact_203_ListReds2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 225 (all C all V_1 all E_2 all Ea all S_1 all V all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(val_list_char(V),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V_1,E_2),S_1),produc1259058957on_val(val_list_char(V),S)),transi2024712006on_val(red(Pa)))))) # label(fact_204_TryRedsVal) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 226 (all Val_11 all Val_10 (val_list_char(Val_11) = val_list_char(Val_10) <-> Val_11 = Val_10)) # label(fact_205_exp_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 227 (all Val_9 all Exp1_5 all List_11 all A_7 all Exp2_5 val_list_char(Val_9) != tryCatch_list_char(Exp1_5,List_11,A_7,Exp2_5)) # label(fact_206_exp_Osimps_I92_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 228 (all Exp1_4 all List_10 all A_6 all Exp2_4 all Val_8 tryCatch_list_char(Exp1_4,List_10,A_6,Exp2_4) != val_list_char(Val_8)) # label(fact_207_exp_Osimps_I93_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 229 (all Val_7 all Exp_33 all List1_17 all List2_17 val_list_char(Val_7) != fAcc_list_char(Exp_33,List1_17,List2_17)) # label(fact_208_exp_Osimps_I76_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 230 (all Exp_32 all List1_16 all List2_16 all Val_6 fAcc_list_char(Exp_32,List1_16,List2_16) != val_list_char(Val_6)) # label(fact_209_exp_Osimps_I77_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 231 (all Val_5 all List_9 all Exp_31 val_list_char(Val_5) != cast_list_char(List_9,Exp_31)) # label(fact_210_exp_Osimps_I45_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 232 (all List_8 all Exp_30 all Val_4 cast_list_char(List_8,Exp_30) != val_list_char(Val_4)) # label(fact_211_exp_Osimps_I44_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 233 (all V all C all V_1 all E_2 all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(val_list_char(V),C,V_1,E_2),S_1),produc1259058957on_val(val_list_char(V),S_1)),red(Pa)))) # label(fact_212_red__reds_ORedTry) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 234 (all V all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),reds(Pa))) -> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(val_list_char(V),Esa),S_1),produc379668296on_val(cons_exp_list_char(val_list_char(V),Es_a),S)),reds(Pa))))) # label(fact_213_red__reds_OListRed2) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 235 (all V all M all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(val_list_char(V),M,Esa),S_1),produc1259058957on_val(call_list_char(val_list_char(V),M,Es_a),S)),transi2024712006on_val(red(Pa)))))) # label(fact_214_CallRedsParams) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 236 (all V all M all Esa all S_1 all Es_a all S all Pa (hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),reds(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(val_list_char(V),M,Esa),S_1),produc1259058957on_val(call_list_char(val_list_char(V),M,Es_a),S)),red(Pa))))) # label(fact_215_red__reds_OCallParams) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 237 (all C all Ea all S_1 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(val_list_char(null),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(val_list_char(null),S)),transi2024712006on_val(red(Pa)))))) # label(fact_216_CastRedsNull) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 238 (all Exp_29 all List1_15 all List2_15 all Val_3 call_list_char(Exp_29,List1_15,List2_15) != val_list_char(Val_3)) # label(fact_217_exp_Osimps_I81_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 239 (all Val_2 all Exp_28 all List1_14 all List2_14 val_list_char(Val_2) != call_list_char(Exp_28,List1_14,List2_14)) # label(fact_218_exp_Osimps_I80_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 240 (all X all A_5 (hBOOL(member88670778on_val(X,A_5)) <-> hBOOL(hAPP_P2028072621l_bool(A_5,X)))) # label(fact_219_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 241 (all X all A_5 (hBOOL(member563141460on_val(X,A_5)) <-> hBOOL(hAPP_P1221872711l_bool(A_5,X)))) # label(fact_220_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 242 (all X all A_5 (hBOOL(member808015754on_val(X,A_5)) <-> hBOOL(hAPP_P378063101l_bool(A_5,X)))) # label(fact_221_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 243 (all X all A_5 (hBOOL(member773094996on_val(X,A_5)) <-> hBOOL(hAPP_P282169671l_bool(A_5,X)))) # label(fact_222_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 244 (all X all A_5 (hBOOL(member875476972on_val(X,A_5)) <-> hBOOL(hAPP_P1333315679l_bool(A_5,X)))) # label(fact_223_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 245 (all Exp_27 all List1_13 all List2_13 all List_7 all Exp_26 call_list_char(Exp_27,List1_13,List2_13) != cast_list_char(List_7,Exp_26)) # label(fact_224_exp_Osimps_I57_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 246 (all List_6 all Exp_25 all Exp_24 all List1_12 all List2_12 cast_list_char(List_6,Exp_25) != call_list_char(Exp_24,List1_12,List2_12)) # label(fact_225_exp_Osimps_I56_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 247 (all Exp_23 all List1_11 all List2_11 all Exp_22 all List1_10 all List2_10 fAcc_list_char(Exp_23,List1_11,List2_11) != call_list_char(Exp_22,List1_10,List2_10)) # label(fact_226_exp_Osimps_I156_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 248 (all Exp_21 all List1_9 all List2_9 all Exp_20 all List1_8 all List2_8 call_list_char(Exp_21,List1_9,List2_9) != fAcc_list_char(Exp_20,List1_8,List2_8)) # label(fact_227_exp_Osimps_I157_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 249 (all Exp1_3 all List_5 all A_4 all Exp2_3 all Exp_19 all List1_7 all List2_7 tryCatch_list_char(Exp1_3,List_5,A_4,Exp2_3) != call_list_char(Exp_19,List1_7,List2_7)) # label(fact_228_exp_Osimps_I195_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 250 (all Exp_18 all List1_6 all List2_6 all Exp1_2 all List_4 all A_3 all Exp2_2 call_list_char(Exp_18,List1_6,List2_6) != tryCatch_list_char(Exp1_2,List_4,A_3,Exp2_2)) # label(fact_229_exp_Osimps_I194_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 251 (all Exp_11 all List1_5 all List2_5 all Exp_10 all List1_4 all List2_4 (call_list_char(Exp_11,List1_5,List2_5) = call_list_char(Exp_10,List1_4,List2_4) <-> Exp_11 = Exp_10 & List1_5 = List1_4 & List2_5 = List2_4)) # label(fact_230_exp_Osimps_I9_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 252 (all M all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_1),produc1259058957on_val(call_list_char(E_a,M,Esa),S)),red(Pa))))) # label(fact_231_red__reds_OCallObj) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 253 (all M all Esa all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_1),produc1259058957on_val(call_list_char(E_a,M,Esa),S)),transi2024712006on_val(red(Pa)))))) # label(fact_232_CallRedsObj) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 254 (all C all S_1 all Pa hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,val_list_char(null)),S_1),produc1259058957on_val(val_list_char(null),S_1)),red(Pa)))) # label(fact_233_red__reds_ORedCastNull) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 255 (all F all D all Ea all S_1 all A_2 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A_2),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(throw_list_char(A_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_234_FAccRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 256 (all C all Ea all S_1 all A_2 all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A_2),S)),transi2024712006on_val(red(Pa)))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(throw_list_char(A_2),S)),transi2024712006on_val(red(Pa)))))) # label(fact_235_CastRedsThrow) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 257 (all Exp_17 all Val_1 throw_list_char(Exp_17) != val_list_char(Val_1)) # label(fact_236_exp_Osimps_I91_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 258 (all Val all Exp_16 val_list_char(Val) != throw_list_char(Exp_16)) # label(fact_237_exp_Osimps_I90_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 259 (all Exp_15 all Exp_14 all List1_3 all List2_3 throw_list_char(Exp_15) != call_list_char(Exp_14,List1_3,List2_3)) # label(fact_238_exp_Osimps_I193_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 260 (all Exp_13 all List1_2 all List2_2 all Exp_12 call_list_char(Exp_13,List1_2,List2_2) != throw_list_char(Exp_12)) # label(fact_239_exp_Osimps_I192_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 261 (all Exp_11 all Exp_10 (throw_list_char(Exp_11) = throw_list_char(Exp_10) <-> Exp_11 = Exp_10)) # label(fact_240_exp_Osimps_I14_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.34 262 (all Exp_9 all Exp1_1 all List_3 all A_1 all Exp2_1 throw_list_char(Exp_9) != tryCatch_list_char(Exp1_1,List_3,A_1,Exp2_1)) # label(fact_241_exp_Osimps_I224_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.51 263 (all Exp1 all List_2 all A all Exp2 all Exp_8 tryCatch_list_char(Exp1,List_2,A,Exp2) != throw_list_char(Exp_8)) # label(fact_242_exp_Osimps_I225_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.51 264 (all Exp_7 all Exp_6 all List1_1 all List2_1 throw_list_char(Exp_7) != fAcc_list_char(Exp_6,List1_1,List2_1)) # label(fact_243_exp_Osimps_I167_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.51 265 (all Exp_5 all List1 all List2 all Exp_4 fAcc_list_char(Exp_5,List1,List2) != throw_list_char(Exp_4)) # label(fact_244_exp_Osimps_I166_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.51 266 (all Exp_3 all List_1 all Exp_2 throw_list_char(Exp_3) != cast_list_char(List_1,Exp_2)) # label(fact_245_exp_Osimps_I67_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.51 267 (all List all Exp_1 all Exp cast_list_char(List,Exp_1) != throw_list_char(Exp)) # label(fact_246_exp_Osimps_I66_J) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.51 268 (all Ea all S_1 all E_a all S all Pa (hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa))) -> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(E_a),S)),red(Pa))))) # label(fact_247_red__reds_OThrowRed) # label(axiom) # label(non_clause). [assumption].
% 1.04/1.51
% 1.04/1.51 ============================== end of process non-clausal formulas ===
% 1.04/1.51
% 1.04/1.51 ============================== PROCESS INITIAL CLAUSES ===============
% 1.04/1.51
% 1.04/1.51 ============================== PREDICATE ELIMINATION =================
% 1.04/1.51
% 1.04/1.51 ============================== end predicate elimination =============
% 1.04/1.51
% 1.04/1.51 Auto_denials: (non-Horn, no changes).
% 1.04/1.51
% 1.04/1.51 Term ordering decisions:
% 1.04/1.51 Function symbol KB weights: null=1. h_1=1. p=1. e=1. e_1=1. e_2=1. h=1. l=1. l_1=1. t=1. produc1441475159on_val=1. produc1259058957on_val=1. produc1611380469on_val=1. produc1564932627on_val=1. produc1951691075on_val=1. hAPP_P159683425l_bool=1. produc870913623on_val=1. member773094996on_val=1. produc379668296on_val=1. produc899768717on_val=1. hAPP_P1333315679l_bool=1. hAPP_P282169671l_bool=1. member875476972on_val=1. hAPP_P1708370145l_bool=1. hAPP_P71593144l_bool=1. member563141460on_val=1. member808015754on_val=1. member88670778on_val=1. hAPP_P1116729363l_bool=1. hAPP_P1183008383l_bool=1. hAPP_e1833980889l_bool=1. hAPP_f1033709212l_bool=1. hAPP_f1175813647l_bool=1. hAPP_l146377954l_bool=1. hAPP_P1988153107l_bool=1. hAPP_P2062527807l_bool=1. hAPP_P220718911l_bool=1. hAPP_P2028072621l_bool=1. hAPP_P378063101l_bool=1. member1837727190on_val=1. member2032527242on_val=1. member712690550on_val=1. produc1729053055on_val=1. produc722767071on_val=1. produc935654419on_val=1. hAPP_P1221872711l_bool=1. cast_list_char=1. cons_exp_list_char=1. map_ad325961431ar_val=1. hext=1. hconf_97414254t_char=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=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. f53=1. f54=1. f55=1. f56=1. f57=1. f58=1. f59=1. f60=1. f61=1. f62=1. f63=1. f64=1. f65=1. f66=1. f67=1. f68=1. f69=1. f70=1. f71=1. f72=1. f73=1. transi2024712006on_val=1. transi374442731on_val=1. transi208336786on_val=1. transi910771962on_val=1. transi921647814on_val=1. red=1. val_list_char=1. transi1751449568on_val=1. transi594096122on_val=1. transi678815536on_val=1. reds=1. throw_list_char=1. produc1159035454l_bool=1. produc1838470831l_bool=1. produc1911975310l_bool=1. produc2053127004l_bool=1. produc2062775566l_bool=1. produc1073654846l_bool=1. produc1497005946l_bool=1. produc971707818l_bool=1. f11=1. f12=1. f13=1. f14=1. f15=1. f16=1. f17=1. f18=1. f19=1. f20=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. f74=1. f75=1. f76=1. f77=1. f78=1. f79=1. f80=1. f81=1. f82=1. f83=1. f84=1. f85=1. f86=1. f87=1. f88=1. f89=1. f90=1. f91=1. f92=1. f93=1. f94=1. f95=1. f96=1. f97=1. f98=1. f99=1. f100=1. f101=1. f102=1. f103=1. f104=1. f105=1. f106=1. f107=1. f108=1. f109=1. f110=1. f111=1. f112=1. f113=1. f114=1. f115=1. f116=1. f117=1. f118=1. f119=1. f120=1. f121=1. f122=1. f123=1. f124=1. f125=1. f126=1. f127=1. f128=1. f129=1. f130=1. f131=1. f132=1. f133=1. f134=1. f135=1. f136=1. f137=1. f138=1. f139=1. f140=1. f141=1. f142=1. f143=1. f144=1. f145=1. f146=1. f147=1. f148=1. f149=1. f150=1. f151=1. f152=1. f153=1. f154=1. f155=1. f156=1. f157=1. f158=1. f159=1. f160=1. f161=1. f162=1. f163=1. f164=1. f165=1. f166=1. f167=1. f168=1. f169=1. f170=1. f171=1. f172=1. f173=1. f174=1. call_list_char=1. fAcc_list_char=1. f255=1. f256=1. f257=1. f258=1. f259=1. f260=1. f261=1. f262=1. f263=1. f264=1. tryCatch_list_char=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. wTrt=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. f175=1. f176=1. f177=1. f178=1. f179=1. f180=1. f181=1. f182=1. f183=1. f184=1. f185=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. f228=1. f229=1. f230=1. f231=1. f232=1. f233=1. f234=1. f235=1. f236=1. f237=1. f238=1.
% 26.78/27.03
% 26.78/27.03 ============================== end of process initial clauses ========
% 26.78/27.03
% 26.78/27.03 ============================== CLAUSES FOR SEARCH ====================
% 26.78/27.03
% 26.78/27.03 ============================== end of clauses for search =============
% 26.78/27.03
% 26.78/27.03 ============================== SEARCH ================================
% 26.78/27.03
% 26.78/27.03 % Starting search at 0.23 seconds.
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=119.000, iters=3350
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=116.000, iters=3345
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=111.000, iters=3337
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=110.000, iters=3565
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=84.000, iters=3408
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=82.000, iters=3389
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=79.000, iters=3335
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=77.000, iters=3344
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=75.000, iters=3333
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=73.000, iters=3357
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=72.000, iters=3443
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=70.000, iters=3376
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=67.000, iters=3333
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=66.000, iters=3368
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=65.000, iters=3367
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=64.000, iters=3353
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=63.000, iters=3422
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=62.000, iters=3391
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=61.000, iters=3349
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=60.000, iters=3366
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=59.000, iters=3355
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=58.000, iters=3363
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=57.000, iters=3351
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=56.000, iters=3345
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=55.000, iters=3350
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=53.000, iters=3346
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=52.000, iters=3340
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=51.000, iters=3523
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=50.000, iters=3422
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=49.000, iters=3344
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=13972, wt=176.000
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=13973, wt=126.000
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=48.000, iters=3416
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=19958, wt=47.000
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=19959, wt=45.000
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=47.000, iters=3336
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=20223, wt=41.000
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=20267, wt=28.000
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=20268, wt=27.000
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=46.000, iters=3333
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=45.000, iters=3335
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=44.000, iters=3335
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=43.000, iters=3349
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=22149, wt=26.000
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=42.000, iters=3350
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=22996, wt=25.000
% 26.78/27.03
% 26.78/27.03 Low Water (displace): id=23154, wt=23.000
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=41.000, iters=3356
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=40.000, iters=3398
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=39.000, iters=3335
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=38.000, iters=3345
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=37.000, iters=3476
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=36.000, iters=3345
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=35.000, iters=3343
% 26.78/27.03
% 26.78/27.03 Low Water (keep): wt=34.000, iters=3395
% 26.78/27.03
% 26.78/27.03 Low WateCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------