TSTP Solution File: SWV995-1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV995-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:53:59 EDT 2023

% Result   : Unsatisfiable 0.58s 1.21s
% Output   : Proof 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.25  % Problem    : SWV995-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.27  % Command    : do_cvc5 %s %d
% 0.26/0.48  % Computer : n016.cluster.edu
% 0.26/0.48  % Model    : x86_64 x86_64
% 0.26/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.48  % Memory   : 8042.1875MB
% 0.26/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.26/0.48  % CPULimit   : 300
% 0.26/0.48  % WCLimit    : 300
% 0.26/0.48  % DateTime   : Tue Aug 29 04:16:00 EDT 2023
% 0.26/0.48  % CPUTime    : 
% 0.45/0.74  %----Proving TF0_NAR, FOF, or CNF
% 0.58/0.74  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KEbm6vclL2/cvc5---1.0.5_25053.p...
% 0.58/0.92  ------- get file name : TPTP file name is SWV995-1
% 0.58/0.92  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25053.smt2...
% 0.58/0.92  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.58/1.21  % SZS status Unsatisfiable for SWV995-1
% 0.58/1.21  % SZS output start Proof for SWV995-1
% 0.58/1.23  (
% 0.58/1.23  (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_BigStep_Ofinal tptp.v_e_H _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.tc_fun _let_1 tptp.tc_bool))) (let ((_let_5 (tptp.c_DefAss_O_092_060D_062 tptp.v_e_H (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom (tptp.c_State_Olcl tptp.v_s_H) _let_1 tptp.tc_Value_Oval) _let_4) _let_1))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_7 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_6))) (let ((_let_8 (tptp.c_TypeSafe__Mirabelle_Owf__config tptp.v_P tptp.v_E tptp.v_s_H tptp.v_e_H tptp.v_T_H))) (let ((_let_9 (forall ((V_x $$unsorted) (V_xa $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair tptp.v_e_H tptp.v_s_H _let_4 _let_3) (tptp.c_Pair V_x V_xa _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored tptp.v_P) (tptp.tc_prod _let_5 _let_5))))))))))) (let ((_let_10 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_11 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_10)))) (tptp.tc_fun _let_1 _let_10)))) (let ((_let_12 (tptp.tc_prod _let_6 _let_11))) (let ((_let_13 (tptp.tc_prod _let_12 _let_12))) (let ((_let_14 (tptp.c_SmallStep_Ored tptp.v_P))) (let ((_let_15 (tptp.c_Pair tptp.v_e_H tptp.v_s_H _let_6 _let_11))) (let ((_let_16 (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl tptp.v_P _let_7))) (let ((_let_17 (forall ((V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair (tptp.v_sko__TypeSafe__Mirabelle__XProgress__1 V_P V_e V_s) (tptp.v_sko__TypeSafe__Mirabelle__XProgress__2 V_P V_e V_s) _let_2 _let_4) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)) (tptp.c_BigStep_Ofinal V_e _let_1) (not (tptp.c_DefAss_O_092_060D_062 V_e (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom (tptp.c_State_Olcl V_s) _let_1 tptp.tc_Value_Oval) (tptp.tc_fun _let_1 tptp.tc_bool)) _let_1)) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))))) (let ((_let_18 (tptp.v_sko__TypeSafe__Mirabelle__XProgress__2 tptp.v_P tptp.v_e_H tptp.v_s_H))) (let ((_let_19 (tptp.v_sko__TypeSafe__Mirabelle__XProgress__1 tptp.v_P tptp.v_e_H tptp.v_s_H))) (let ((_let_20 (tptp.c_in (tptp.c_Pair _let_15 (tptp.c_Pair _let_19 _let_18 _let_6 _let_11) _let_12 _let_12) _let_14 _let_13))) (let ((_let_21 (_let_9))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (not _let_16))) (let ((_let_24 (not _let_8))) (let ((_let_25 (not _let_5))) (let ((_let_26 (or _let_20 _let_2 _let_25 _let_24 _let_23))) (let ((_let_27 (_let_17))) (let ((_let_28 (ASSUME :args _let_27))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair V_x V_xa _let_6 _let_11)))) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_2 _let_23 _let_24 _let_25 _let_20 (not _let_26)))) (ASSUME :args (_let_3)) (ASSUME :args (_let_16)) (ASSUME :args (_let_8)) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.v_e_H tptp.v_s_H tptp.v_P tptp.v_E tptp.v_T_H QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T) false))))) :args _let_27)) _let_28 :args (_let_26 false _let_17)) :args (_let_20 true _let_2 false _let_16 false _let_8 false _let_5 false _let_26)) _let_22 :args (false false _let_20 false _let_9)) :args ((forall ((V_l_H $$unsorted) (V_l $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_fun _let_2 tptp.tc_bool))) (or (tptp.c_lessequals (tptp.c_Map_Odom V_l_H _let_2 tptp.tc_Value_Oval) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom V_l _let_2 tptp.tc_Value_Oval) (tptp.c_Expr_Ofv V_e) _let_8) _let_8) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_B V_C _let_1) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_C _let_1))))) (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A V_C _let_1) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_C _let_1))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_a V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_b V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_a T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_b T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_D _let_1) _let_1) (not (tptp.c_lessequals V_B V_D _let_1)) (not (tptp.c_lessequals V_A V_C _let_1))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 _let_1)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Expr_Ofv V_e_092_060_094isub_0621) (tptp.c_Expr_Ofv V_e_092_060_094isub_0622) (tptp.tc_fun _let_1 tptp.tc_bool))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_B)) (tptp.c_lessequals V_A V_B _let_1)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_A) (not (tptp.c_lessequals V_B V_A _let_1))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_B) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y)) (tptp.c_lessequals V_x V_y T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_x) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_1)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Expr_Ofv V_e_092_060_094isub_0621) (tptp.c_Expr_Ofv V_e_092_060_094isub_0622) (tptp.tc_fun _let_1 tptp.tc_bool))))) (forall ((V_b $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun _let_1 tptp.tc_bool))) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_OCond V_b V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_1)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Expr_Ofv V_b) (tptp.c_Expr_Ofv V_e_092_060_094isub_0621) _let_2) (tptp.c_Expr_Ofv V_e_092_060_094isub_0622) _let_2))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))))) (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Odom (tptp.c_Map_Omap__add V_m V_n T_a T_b) T_a T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom V_n T_a T_b) (tptp.c_Map_Odom V_m T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_x T_a) V_x))) (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C _let_1) _let_1) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C _let_1) _let_1)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_C _let_1) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C _let_1) _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_C _let_1) (not (tptp.c_lessequals V_B V_C _let_1)) (not (tptp.c_lessequals V_A V_C _let_1))))) (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) _let_1))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) _let_1))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) V_C _let_1) (not (tptp.c_lessequals V_B V_C _let_1)) (not (tptp.c_lessequals V_A V_C _let_1))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)) (not (tptp.c_lessequals V_a V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) V_x T_a) (not (tptp.c_lessequals V_z V_x T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_z T_a)))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))) (forall ((V_b $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_OWhile V_b V_e _let_1)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Expr_Ofv V_b) (tptp.c_Expr_Ofv V_e) (tptp.tc_fun _let_1 tptp.tc_bool))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Expr_Ofv V_e_092_060_094isub_0621) (tptp.c_Expr_Ofv V_e_092_060_094isub_0622) (tptp.tc_fun _let_1 tptp.tc_bool))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B _let_1))) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A _let_2 _let_1) _let_2)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a))) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x _let_1 T_a) _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a))) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x _let_1 T_a) _let_1)))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_A T_a)))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_B T_a)))) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a) (not (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))) (forall ((V_l_H $$unsorted) (V_l $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_fun _let_1 _let_3))) (let ((_let_5 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))))) (let ((_let_6 (tptp.tc_prod _let_5 _let_4))) (let ((_let_7 (tptp.tc_prod _let_2 _let_6))) (let ((_let_8 (tptp.tc_fun _let_1 tptp.tc_bool))) (or (tptp.c_lessequals (tptp.c_Map_Odom V_l_H _let_1 tptp.tc_Value_Oval) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom V_l _let_1 tptp.tc_Value_Oval) (tptp.c_Expr_Ofv V_e) _let_8) _let_8) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_5 _let_4) _let_2 _let_6) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_5 _let_4) _let_2 _let_6) _let_7 _let_7) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7) (tptp.tc_prod _let_7 _let_7))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))))))))))))) (forall ((V_C $$unsorted) (V_e $$unsorted)) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_OCast V_C V_e (tptp.tc_List_Olist tptp.tc_String_Ochar))) (tptp.c_Expr_Ofv V_e))) (forall ((V_e $$unsorted)) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_Othrow V_e (tptp.tc_List_Olist tptp.tc_String_Ochar))) (tptp.c_Expr_Ofv V_e))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted)) (= (tptp.c_Expr_Ofv (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar))) (tptp.c_Expr_Ofv V_e))) (forall ((V_e_H $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_fun _let_1 _let_3))) (let ((_let_5 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))))) (let ((_let_6 (tptp.tc_prod _let_5 _let_4))) (let ((_let_7 (tptp.tc_prod _let_2 _let_6))) (or (tptp.c_lessequals (tptp.c_Expr_Ofv V_e_H) (tptp.c_Expr_Ofv V_e) (tptp.tc_fun _let_1 tptp.tc_bool)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_5 _let_4) _let_2 _let_6) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_5 _let_4) _let_2 _let_6) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_v_092_060_094isub_0621 $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0620 V_e_092_060_094isub_0621 _let_1) V_s_092_060_094isub_0620 V_e_092_060_094isub_0622 V_s_092_060_094isub_0622) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0621 V_e_092_060_094isub_0622 V_s_092_060_094isub_0622)) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0620 V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v _let_1) V_s_092_060_094isub_0621))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 V_P V_r T_a) _let_1 T_a) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_x _let_1 T_a) (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 V_r V_x T_a) _let_1 T_a))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r)))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a)))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))) (forall ((V_R $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_R T_a))) (or (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 V_R V_x T_a) _let_1 T_a)) (tptp.c_in V_x _let_1 T_a)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a) _let_1 T_a) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r)))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 V_P V_r T_a)))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))) (forall ((V_h $$unsorted) (V_h_H $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (or (tptp.c_Objects_Ohext V_h V_h_H) (not (tptp.c_BigStep_Oeval V_P V_e (tptp.c_Pair V_h V_l _let_4 _let_3) V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3))))))))) (forall ((V_l1 $$unsorted) (V_l2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__add V_l1 V_l2 T_a T_b) V_m) (tptp.hAPP V_l1 V_m)) (tptp.c_in V_m (tptp.c_Map_Odom V_l2 T_a T_b) T_a))) (forall ((V_l1 $$unsorted) (V_l2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__add V_l1 V_l2 T_a T_b) V_m) (tptp.hAPP V_l2 V_m)) (tptp.c_in V_m (tptp.c_Map_Odom V_l1 T_a T_b) T_a))) (forall ((V_l1 $$unsorted) (V_l2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__add V_l1 V_l2 T_a T_b) V_m) (tptp.hAPP V_l2 V_m)) (not (tptp.c_in V_m (tptp.c_Map_Odom V_l2 T_a T_b) T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OWhile V_e V_c _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OVal 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$$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A V_C _let_1) (not (tptp.c_lessequals V_B V_C _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile 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$$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((V_P $$unsorted) (V_v $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)))) (tptp.c_BigStep_Oeval V_P _let_1 V_s _let_1 V_s))) (forall ((V_e_H $$unsorted) (V_v $$unsorted) (V_P $$unsorted) (V_s $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)))) (or (= V_e_H _let_1) (not (tptp.c_BigStep_Oeval V_P _let_1 V_s V_e_H V_s_H))))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_m3 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__add V_m1 (tptp.c_Map_Omap__add V_m2 V_m3 T_a T_b) T_a T_b) (tptp.c_Map_Omap__add (tptp.c_Map_Omap__add V_m1 V_m2 T_a T_b) V_m3 T_a T_b))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= 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(V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_h $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h_H V_E V_e V_T) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_h $$unsorted) (V_h_H_H $$unsorted) (V_h_H $$unsorted)) (or (tptp.c_Objects_Ohext V_h V_h_H_H) (not (tptp.c_Objects_Ohext V_h_H V_h_H_H)) (not (tptp.c_Objects_Ohext V_h V_h_H)))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_l $$unsorted) (V_E $$unsorted) (T_a $$unsorted) (V_h $$unsorted)) (or (tptp.c_Conform_Olconf V_P V_h_H V_l V_E T_a) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a)))) (forall ((V_h $$unsorted)) (tptp.c_Objects_Ohext V_h V_h)) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_s_H $$unsorted) (V_s $$unsorted) (V_P $$unsorted) (V_v $$unsorted) (V_e_H $$unsorted)) (or (= V_s_H V_s) (not (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_s V_e_H V_s_H)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))) (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_t V_B T_a) (not (tptp.c_in V_t V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_A T_a)))) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome V_x T_a))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)) (= (tptp.hAPP V_m V_k) _let_1) (= (tptp.hAPP V_n V_k) _let_1)))) (forall ((V_n $$unsorted) (V_k $$unsorted) (V_xx $$unsorted) (T_a $$unsorted) (V_m $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome V_xx T_a))) (or (not (= (tptp.hAPP V_n V_k) _let_1)) (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)))) (forall ((V_n $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_m $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome V_x T_a))) (or (not (= (tptp.hAPP V_n V_k) _let_1)) (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)))) (forall ((V_v $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OVal V_v T_a) V_A T_a)) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OWhile V_e V_c T_a) V_A T_a)))) (forall ((V_xa $$unsorted) (T_a $$unsorted)) (tptp.c_BigStep_Ofinal (tptp.c_Expr_Oexp_OVal V_xa T_a) T_a)) (forall ((V_x $$unsorted) (V_R $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_x (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 V_R V_x V_y T_a) T_a T_a) V_R _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1))))) (forall ((V_R $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 V_R V_x V_y T_a) V_y T_a T_a) V_R _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1))))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0622) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_2 V_s_092_060_094isub_0622)) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_1) V_s_092_060_094isub_0621)))))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0622) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_2 V_s_092_060_094isub_0622)) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v _let_1) V_s_092_060_094isub_0621)))))) (forall ((V_l_092_060_094isub_0620 $$unsorted) (V_l_092_060_094isub_0621 $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_h_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_h_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (or (tptp.c_lessequals (tptp.c_Map_Odom V_l_092_060_094isub_0620 _let_2 tptp.tc_Value_Oval) (tptp.c_Map_Odom V_l_092_060_094isub_0621 _let_2 tptp.tc_Value_Oval) (tptp.tc_fun _let_2 tptp.tc_bool)) (not (tptp.c_BigStep_Oeval V_P V_e (tptp.c_Pair V_h_092_060_094isub_0620 V_l_092_060_094isub_0620 _let_4 _let_3) V_e_H (tptp.c_Pair V_h_092_060_094isub_0621 V_l_092_060_094isub_0621 _let_4 _let_3))))))))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ORange V_r T_a T_a))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s_092_060_094isub_0622 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_2) V_s_092_060_094isub_0620 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v _let_2) V_s_092_060_094isub_0621 _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s_092_060_094isub_0622 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 _let_2) V_s_092_060_094isub_0620 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_s_092_060_094isub_0621 _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_l_092_060_094isub_0620 $$unsorted) (V_l_092_060_094isub_0621 $$unsorted) (V_e $$unsorted) (V_h_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_h_092_060_094isub_0621 $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (or (tptp.c_lessequals (tptp.c_Map_Odom V_l_092_060_094isub_0620 _let_2 tptp.tc_Value_Oval) (tptp.c_Map_Odom V_l_092_060_094isub_0621 _let_2 tptp.tc_Value_Oval) (tptp.tc_fun _let_2 tptp.tc_bool)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h_092_060_094isub_0620 V_l_092_060_094isub_0620 _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_092_060_094isub_0621 V_l_092_060_094isub_0621 _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7)))))))))))) (forall ((V_e $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_v $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0622_H $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair V_e_092_060_094isub_0622_H V_s_092_060_094isub_0622 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s_092_060_094isub_0620 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_s_092_060_094isub_0621 _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss (tptp.c_Expr_Oexp_OVal V_v _let_2) V_F V_D _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e $$unsorted) (V_h $$unsorted) (V_l_092_060_094isub_0620 $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l_H _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8))))))))))))) (forall ((V_v_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_bop _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_E $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod (tptp.tc_List_Olist _let_2) _let_6))) (or (tptp.c_Conform_Olconf V_P V_h_H V_l_H V_E _let_8) (not (tptp.c_Conform_Olconf V_P V_h V_l V_E _let_8)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod (tptp.tc_List_Olist _let_2) _let_6))) (or (tptp.c_Conform_Ohconf V_P V_h_H _let_8) (not (tptp.c_Conform_Ohconf V_P V_h _let_8)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (forall ((V_b $$unsorted) (V_c $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OWhile V_b V_c _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_b V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch _let_6 V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_v $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OVal V_v _let_2) V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair V_e_092_060_094isub_0622 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)))))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$unsorted) (V_h $$unsorted) (V_l_092_060_094isub_0620 $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l_H _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8))))))))))))) (forall ((V_h $$unsorted) (V_h_H $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (or (tptp.c_Objects_Ohext V_h V_h_H) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7)))))))))))) (forall ((V_e $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_fun _let_1 _let_4))) (let ((_let_6 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_2 _let_7))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_6 _let_5) _let_2 _let_7) (tptp.c_Pair (tptp.c_Progress_Osko__Progress__Xprogress__1__1 V_P V_e V_h V_l) (tptp.c_Progress_Osko__Progress__Xprogress__1__2 V_P V_e V_h V_l) _let_2 _let_7) _let_8 _let_8) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_8 _let_8)) (tptp.c_BigStep_Ofinal V_e _let_1) (not (tptp.c_DefAss_O_092_060D_062 V_e (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom V_l _let_1 tptp.tc_Value_Oval) (tptp.tc_fun _let_1 tptp.tc_bool)) _let_1)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_Conform_Ohconf V_P V_h _let_3)) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P _let_3)))))))))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 V_a V_r T_a T_b) V_a T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_a (tptp.c_Relation_ORange V_r T_b T_a) T_a)))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 V_b V_r T_a T_b) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_b T_a) T_a)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 V_P V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_ya $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r tptp.t_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.c_in V_ya _let_1 tptp.t_a) (not (tptp.c_in (tptp.c_Pair V_ya (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x _let_1 tptp.t_a))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_ya $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r tptp.t_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.c_in V_ya _let_1 tptp.t_a) (not (tptp.c_in (tptp.c_Pair V_ya (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x _let_1 tptp.t_a))))) (forall ((V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 V_r V_x T_a) V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))) (forall ((V_R $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 V_R V_x T_a) V_x T_a T_a) V_R (tptp.tc_prod T_a T_a)) (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_R T_a) T_a))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 V_a V_r T_a T_b) T_a T_b) V_r (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a)))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 V_a V_r T_a T_b) T_a T_b) V_r (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a)))) (forall ((V_R $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 V_R V_x V_y T_a) V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1))))) (forall ((V_x $$unsorted) (V_R $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_x (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 V_R V_x V_y T_a) T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1))))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_C $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCast V_C V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_P $$unsorted) (V_s $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (not (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_list V_list_H))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ODomain V_r T_a T_a))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1)))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) _let_1)))))) (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1) (not (tptp.c_in V_p V_r _let_1))))) (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Transitive__Closure_Otrancl V_R T_a) T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a T_a))) (forall ((V_R $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Transitive__Closure_Ortrancl V_R T_a))) (= (tptp.c_Transitive__Closure_Otrancl _let_1 T_a) _let_1))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0621 $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_T $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0621 V_T) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_Othrow V_e T_a) V_A T_a)))) (forall ((V_e $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_Othrow V_e T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCast V_C V_e T_a) V_A T_a)))) (forall ((V_C $$unsorted) (V_e $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCast V_C V_e T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_M $$unsorted) (V_es $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCall V_e V_M V_es T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_F $$unsorted) (V_D $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_V $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OLAss V_V V_e T_a) V_A T_a)))) (forall ((V_V $$unsorted) (V_e $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OLAss V_V V_e T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_P $$unsorted) (V_s_H $$unsorted) (V_E $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_e $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s_H) V_E V_e_H (tptp.v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P 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(V_D $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc _let_6 V_F V_D _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption 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_let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq _let_6 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_6 V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCond _let_6 V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P _let_2) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_2)))))) (forall ((V_P $$unsorted) (V_s_H $$unsorted) (V_E $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s_H) V_E V_e_H (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not 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_let_4))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h_H V_E V_e_H (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1 V_E V_P V_T V_e_H V_h_H)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E _let_8)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e _let_8 _let_2 _let_6) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_5 _let_4) _let_2 _let_6) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))))))))))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun 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tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_e_H_H $$unsorted) (V_s_H_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H) (not (tptp.c_BigStep_Oeval V_P V_e_H_H V_s_H_H V_e_H V_s_H)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H_H V_s_H_H _let_2 _let_4) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (or (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s_H) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)))))))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_a _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_b _let_1 T_a))))) (forall ((V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_y _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_y V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_P $$unsorted) (V_V $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OLAss V_V V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_Othrow V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_ps $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCall V_e V_M V_ps _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Relation_Oconverse V_r T_a T_b) T_b T_a) (tptp.c_Relation_ODomain V_r T_a T_b))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oconverse V_r T_a T_b) T_b T_a) V_r)) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0620 V_e_092_060_094isub_0621 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0620 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Othrow V_exp T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_Othrow V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0621 $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse V_r T_b T_a) T_a T_b) (tptp.c_Relation_ORange V_r T_b T_a))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange V_r T_b T_a) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse V_r T_b T_a) T_a T_b))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Ototal__on V_A V_r T_a) (not (tptp.c_Relation_Ototal__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Ototal__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Ototal__on V_A V_r T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp3 V_exp3_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_a V_a_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_list V_list_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_bop V_bop_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ORange V_r T_b T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_x V_a T_b T_a) V_r (tptp.tc_prod T_b T_a))))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_a T_b) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_x T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_b $$unsorted) (V_B $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_a V_A T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b))))) (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_xa V_x T_a T_a) V_r _let_1) (tptp.c_in (tptp.c_Pair V_x V_xa T_a T_a) V_r _let_1) (= V_x V_xa) (not (tptp.c_in V_xa V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Relation_Ototal__on V_A V_r T_a))))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_y V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_e $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_TypeRel_Owiden V_P (tptp.v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1 V_E V_P V_T V_e_H V_s_H) V_T _let_2) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H)) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_2)))))) (forall ((V_P $$unsorted) (V_s_H $$unsorted) (V_E $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s_H) V_E V_e_H (tptp.v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 V_a V_b V_r T_a) V_b T_a T_a) V_r _let_1) (= V_a V_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_r $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 V_r V_x V_z T_a) V_z T_a T_a) _let_2 _let_1) (= V_x V_z) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) _let_2 _let_1)))))) (forall ((V_x $$unsorted) (V_r $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_x (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 V_r V_x V_z T_a) T_a T_a) V_r _let_1) (= V_x V_z) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 V_P V_b V_r T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_b))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 V_P V_b V_r T_a) V_b T_a T_a) _let_2 _let_1) (not (tptp.hBOOL (tptp.hAPP V_P V_b))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_y V_z T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_a V_b T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1)))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_b)) (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 V_P V_a V_r T_a) T_a T_a) _let_2 _let_1) (not (tptp.hBOOL (tptp.hAPP V_P V_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_b)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 V_P V_a V_r T_a)))) (not (tptp.hBOOL (tptp.hAPP V_P V_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_z V_y T_a T_a) _let_2 _let_1) (tptp.c_in (tptp.c_Pair V_y V_z T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) _let_2 _let_1)) (not (tptp.c_Relation_Osingle__valued V_r T_a T_a)))))) (forall ((V_a1 $$unsorted) (V_a2 $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r tptp.t_a))) (or (tptp.c_in (tptp.c_Pair V_a1 (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 V_a1 V_a2 V_r) tptp.t_a tptp.t_a) _let_2 _let_1) (= V_a2 V_a1) (not (tptp.c_in (tptp.c_Pair V_a1 V_a2 tptp.t_a tptp.t_a) _let_2 _let_1)))))) (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_a V_b T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1) (= V_a V_b) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1)))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1) (= V_x V_y) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1)))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1)) (= V_x V_y))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_b)) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 V_P V_a V_r T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_a1 $$unsorted) (V_a2 $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (tptp.c_in (tptp.c_Pair (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 V_a1 V_a2 V_r) V_a2 tptp.t_a tptp.t_a) V_r _let_1) (= V_a2 V_a1) (not (tptp.c_in (tptp.c_Pair V_a1 V_a2 tptp.t_a tptp.t_a) (tptp.c_Transitive__Closure_Ortrancl V_r tptp.t_a) _let_1))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 V_P V_b V_r T_a)))) (not (tptp.hBOOL (tptp.hAPP V_P V_b))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 V_a V_b V_r T_a) T_a T_a) _let_2 _let_1) (= V_a V_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r _let_1))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))) (tptp.tc_fun _let_1 _let_4)))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (or (tptp.c_TypeRel_Owiden V_P (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1 V_E V_P V_T V_e_H V_s_H) V_T _let_3) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_5) (tptp.c_Pair V_e_H V_s_H _let_2 _let_5) _let_6 _let_6) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_6 _let_6))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3)))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_h $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_fun _let_1 _let_4))) (let ((_let_6 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_2 _let_7))) (let ((_let_9 (tptp.c_Pair V_h V_l _let_6 _let_5))) (or (tptp.c_TypeRel_Owiden V_P (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1 V_E V_P V_T V_e_H V_h_H) V_T _let_3) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E _let_9)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e _let_9 _let_2 _let_7) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_6 _let_5) _let_2 _let_7) _let_8 _let_8) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_8 _let_8))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3))))))))))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_OSome (tptp.c_Map_Osko__Map__XdomD__1__1 V_a V_m T_a T_b) T_b)) (not (tptp.c_in V_a (tptp.c_Map_Odom V_m T_a T_b) T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_e_H_H $$unsorted) (V_s_H_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H) (not (tptp.c_BigStep_Oeval V_P V_e_H_H V_s_H_H V_e_H V_s_H)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H_H V_s_H_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5)) (not (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H)) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))) (tptp.tc_fun _let_1 _let_4)))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (or (tptp.c_TypeRel_Owiden V_P (tptp.v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1 V_E V_P V_T V_e_H V_s_H) V_T _let_3) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_5) (tptp.c_Pair V_e_H V_s_H _let_2 _let_5) _let_6 _let_6) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_6) (tptp.tc_prod _let_6 _let_6))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3)))))))))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H) (not (tptp.c_BigStep_Ofinal V_e_H _let_1)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H) (not (tptp.c_BigStep_Ofinal V_e_H _let_1)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_b _let_1 T_a) (not (tptp.c_in V_a _let_1 T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_b _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_b V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_x $$unsorted) (V_R $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Relation_ODomain V_R T_a T_a) T_a) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (= V_x V_y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in V_x (tptp.c_Relation_ODomain V_R T_a T_a) T_a))) (forall ((V_a $$unsorted) (V_a_H $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_b_H $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (= V_a V_a_H) (tptp.c_in (tptp.c_Pair V_a V_a_H T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b) _let_1 _let_1) (tptp.c_Wellfounded_Olex__prod V_r V_s T_a T_b) (tptp.tc_prod _let_1 _let_1)))))) (forall ((V_x $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b_H $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_x V_b T_a T_b) 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_let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e_H V_C V_V V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e_H V_bop V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) _let_17 (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s_H $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s_H V_e_H (tptp.v_sko__TypeSafe__Mirabelle__XSubject__reduction__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s_H $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s_H V_e_H (tptp.v_sko__TypeSafe__Mirabelle__XSubject__reductions__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))) (tptp.tc_fun _let_1 _let_4)))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (or (tptp.c_TypeRel_Owiden V_P (tptp.v_sko__TypeSafe__Mirabelle__XSubject__reduction__1 V_E V_P V_T V_e_H V_s_H) V_T _let_3) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_5) (tptp.c_Pair V_e_H V_s_H _let_2 _let_5) _let_6 _let_6) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_6 _let_6))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3)))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))) (tptp.tc_fun _let_1 _let_4)))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (or (tptp.c_TypeRel_Owiden V_P (tptp.v_sko__TypeSafe__Mirabelle__XSubject__reductions__1 V_E V_P V_T V_e_H V_s_H) V_T _let_3) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_5) (tptp.c_Pair V_e_H V_s_H _let_2 _let_5) _let_6 _let_6) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_6) (tptp.tc_prod _let_6 _let_6))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3)))))))))) (forall ((V_e_H $$unsorted) (V_l_H $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_h $$unsorted) (V_h_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_fun _let_1 _let_3))) (let ((_let_5 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))))) (let ((_let_6 (tptp.tc_prod _let_5 _let_4))) (let ((_let_7 (tptp.tc_prod _let_2 _let_6))) (let ((_let_8 (tptp.tc_fun _let_1 tptp.tc_bool))) (or (tptp.c_DefAss_O_092_060D_062 V_e_H (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom V_l_H _let_1 tptp.tc_Value_Oval) _let_8) _let_1) (not (tptp.c_DefAss_O_092_060D_062 V_e (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom V_l _let_1 tptp.tc_Value_Oval) _let_8) _let_1)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_5 _let_4) _let_2 _let_6) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_5 _let_4) _let_2 _let_6) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))))))))))))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (= (tptp.c_Transitive__Closure_Ortrancl _let_1 T_a) _let_1))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))) (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1) (not (tptp.c_in V_p V_r _let_1))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_OSome V_b T_a))) (tptp.c_in V_a (tptp.c_Map_Odom V_m T_b T_a) T_b))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_Option_Ooption_OSome V_a T_a) (tptp.c_Option_Ooption_OSome V_a_H T_a))) (= V_a V_a_H))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)))) (forall ((V_e_H $$unsorted) (V_s_H $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (let ((_let_6 (tptp.tc_fun _let_1 tptp.tc_bool))) (or (tptp.c_DefAss_O_092_060D_062 V_e_H (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom (tptp.c_State_Olcl V_s_H) _let_1 tptp.tc_Value_Oval) _let_6) _let_1) (not (tptp.c_DefAss_O_092_060D_062 V_e (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom (tptp.c_State_Olcl V_s) _let_1 tptp.tc_Value_Oval) _let_6) _let_1)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))))))))))) (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_S T_a) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))) (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.c_in V_x V_S T_a)))) (forall ((V_P $$unsorted) (V_T $$unsorted) (T_a $$unsorted)) (tptp.c_TypeRel_Owiden V_P V_T V_T T_a)) (forall ((V_P $$unsorted) (V_S $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_U $$unsorted)) (or (tptp.c_TypeRel_Owiden V_P V_S V_T T_a) (not (tptp.c_TypeRel_Owiden V_P V_U V_T T_a)) (not (tptp.c_TypeRel_Owiden V_P V_S V_U T_a)))) _let_16 (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P tptp.v_E tptp.v_s) (tptp.c_WellType_OWT tptp.v_P tptp.v_E tptp.v_e tptp.v_T) (tptp.c_DefAss_O_092_060D_062 tptp.v_e (tptp.c_Option_Ooption_OSome (tptp.c_Map_Odom (tptp.c_State_Olcl tptp.v_s) _let_1 tptp.tc_Value_Oval) _let_4) _let_1) (tptp.c_in (tptp.c_Pair (tptp.c_Pair tptp.v_e tptp.v_s _let_6 _let_11) _let_15 _let_12 _let_12) (tptp.c_Transitive__Closure_Ortrancl _let_14 _let_12) _let_13) _let_9 (tptp.c_TypeSafe__Mirabelle_Owf__config tptp.v_P tptp.v_E tptp.v_s tptp.v_e tptp.v_T) _let_8 (tptp.c_TypeRel_Owiden tptp.v_P tptp.v_T_H tptp.v_T _let_7) _let_5 _let_3 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oupper__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))) (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat) (tptp.class_Orderings_Opreorder tptp.tc_nat) (tptp.class_Orderings_Olinorder tptp.tc_nat) (tptp.class_Lattices_Olattice tptp.tc_nat) (tptp.class_Orderings_Oorder tptp.tc_nat) (tptp.class_HOL_Oord tptp.tc_nat) (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool) (tptp.class_Orderings_Opreorder tptp.tc_bool) (tptp.class_Lattices_Olattice tptp.tc_bool) (tptp.class_Orderings_Oorder tptp.tc_bool) (tptp.class_HOL_Oord tptp.tc_bool) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)) (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))))))))))))))))))))))))))))))))
% 0.58/1.23  )
% 0.58/1.24  % SZS output end Proof for SWV995-1
% 0.58/1.24  % cvc5---1.0.5 exiting
% 0.58/1.24  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------