%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV921-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 21:53:47 EDT 2023

% Result   : Unsatisfiable 8.59s 8.87s
% Output   : Proof 8.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.16/0.26  % Problem    : SWV921-1 : TPTP v8.1.2. Released v4.1.0.
% 0.26/0.26  % Command    : do_cvc5 %s %d
% 0.26/0.48  % Computer : n008.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 10:07:02 EDT 2023
% 0.26/0.48  % CPUTime    : 
% 0.33/0.75  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.76  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.W4qdxkURnQ/cvc5---1.0.5_31369.p...
% 0.78/0.99  ------- get file name : TPTP file name is SWV921-1
% 0.78/1.00  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31369.smt2...
% 0.78/1.00  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.59/8.87  % SZS status Unsatisfiable for SWV921-1
% 8.59/8.87  % SZS output start Proof for SWV921-1
% 8.68/8.89  (
% 8.68/8.89  (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)))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod _let_1 _let_1))) (let ((_let_5 (tptp.tc_fun _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_1 _let_5))) (let ((_let_7 (tptp.tc_Option_Ooption _let_6))) (let ((_let_8 (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval))) (let ((_let_9 (tptp.c_Fun_Ofun__upd tptp.v_fs______ (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_1 _let_1) tptp.v_F______) tptp.v_D______) (tptp.hAPP _let_8 tptp.v_v______) _let_4 _let_3))) (let ((_let_10 (tptp.c_Pair _let_1 _let_5))) (let ((_let_11 (tptp.hAPP _let_10 tptp.v_C______))) (let ((_let_12 (tptp.c_Option_Ooption_OSome _let_6))) (let ((_let_13 (tptp.c_Fun_Ofun__upd tptp.v_ha______ tptp.v_a______ (tptp.hAPP _let_12 (tptp.hAPP _let_11 _let_9)) tptp.tc_nat _let_7))) (let ((_let_14 (tptp.c_Conform_Olconf tptp.v_P _let_13 tptp.v_la______ tptp.v_E____ _let_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (= (tptp.hAPP tptp.v_ha______ tptp.v_a______) (tptp.hAPP _let_12 (tptp.hAPP _let_11 tptp.v_fs______))))) (let ((_let_17 (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha______ tptp.v_E____ (tptp.c_Expr_Oexp_OFAss (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr tptp.v_a______) _let_1) tptp.v_F______ tptp.v_D______ (tptp.c_Expr_Oexp_OVal tptp.v_v______ _let_1) _let_1) tptp.v_T____))) (let ((_let_18 (tptp.c_Conform_Olconf tptp.v_P tptp.v_ha______ tptp.v_la______ tptp.v_E____ _let_2))) (let ((_let_19 (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_fs_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.tc_prod _let_1 _let_2))) (let ((_let_4 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_5 (tptp.c_Option_Ooption_OSome _let_3))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs)))) (tptp.c_Objects_Ohext V_h (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs_H)) tptp.tc_nat (tptp.tc_Option_Ooption _let_3)))))))))))) (let ((_let_20 (forall ((V_l $$unsorted) (V_V $$unsorted) (V_v $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.hAPP V_l V_V) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (not (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a)) (tptp.c_Conform_Oconf V_P V_h V_v (tptp.c_Conform_Osko__Conform__Xlconf__def__1__1 V_E V_P V_V V_h V_v T_a) T_a))))) (let ((_let_21 (forall ((V_l $$unsorted) (V_V $$unsorted) (V_v $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.hAPP V_l V_V) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (not (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a)) (= (tptp.hAPP V_E V_V) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty) (tptp.c_Conform_Osko__Conform__Xlconf__def__1__1 V_E V_P V_V V_h V_v T_a))))))) (let ((_let_22 (forall ((V_P $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_E $$unsorted) (T_a $$unsorted)) (or (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a) (= (tptp.hAPP V_l (tptp.c_Conform_Osko__Conform__Xlconf__def__1__2 V_E V_P V_h V_l T_a)) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) (tptp.c_Conform_Osko__Conform__Xlconf__def__1__3 V_E V_P V_h V_l T_a))))))) (let ((_let_23 (forall ((V_E $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.hAPP V_E (tptp.c_Conform_Osko__Conform__Xlconf__def__1__2 V_E V_P V_h V_l T_a)) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty) V_x))) (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a) (not (tptp.c_Conform_Oconf V_P V_h (tptp.c_Conform_Osko__Conform__Xlconf__def__1__3 V_E V_P V_h V_l T_a) V_x T_a)))))) (let ((_let_24 (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_v $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_h $$unsorted)) (or (tptp.c_Conform_Oconf V_P V_h_H V_v V_T T_a) (not (tptp.c_Conform_Oconf V_P V_h V_v V_T T_a)) (not (tptp.c_Objects_Ohext V_h V_h_H)))))) (let ((_let_25 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)))) (let ((_let_26 (tptp.c_Objects_Ohext tptp.v_ha______ _let_13))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c_Conform_Osko__Conform__Xlconf__def__1__3 tptp.v_E____ tptp.v_P _let_13 tptp.v_la______ _let_2))) (let ((_let_29 (tptp.c_Conform_Osko__Conform__Xlconf__def__1__2 tptp.v_E____ tptp.v_P _let_13 tptp.v_la______ _let_2))) (let ((_let_30 (tptp.c_Conform_Osko__Conform__Xlconf__def__1__1 tptp.v_E____ tptp.v_P _let_29 tptp.v_ha______ _let_28 _let_2))) (let ((_let_31 (tptp.c_Conform_Oconf tptp.v_P tptp.v_ha______ _let_28 _let_30 _let_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c_Conform_Oconf tptp.v_P _let_13 _let_28 _let_30 _let_2))) (let ((_let_34 (or _let_33 _let_32 _let_27))) (let ((_let_35 (_let_24))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_34))) (let ((_let_38 (not _let_33))) (let ((_let_39 (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty))) (let ((_let_40 (= (tptp.hAPP tptp.v_E____ _let_29) (tptp.hAPP _let_39 _let_30)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_14 _let_38))) (let ((_let_43 (_let_23))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (not _let_18))) (let ((_let_46 (= (tptp.hAPP tptp.v_la______ _let_29) (tptp.hAPP _let_8 _let_28)))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_40))) (let ((_let_49 (_let_21))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (or _let_14 _let_46))) (let ((_let_52 (_let_22))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (ASSUME :args (_let_15)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_14 _let_46 (not _let_51)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.v_P _let_13 tptp.v_la______ tptp.v_E____ _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a) true))))) :args _let_52)) _let_53 :args (_let_51 false _let_22)) :args (_let_46 true _let_14 false _let_51)))) (let ((_let_56 (ASSUME :args (_let_18)))) (let ((_let_57 (or _let_47 _let_45 _let_31))) (let ((_let_58 (_let_20))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (not _let_16))) (let ((_let_61 (or _let_60 _let_26))) (let ((_let_62 (_let_19))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (tptp.hAPP _let_10 V_C))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.v_P _let_13 _let_28 _let_30 _let_2 tptp.v_ha______ QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_Objects_Ohext V_h V_h_H) false)) (not (= (tptp.c_Conform_Oconf V_P V_h_H V_v V_T T_a) true))))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_27 _let_32 _let_33 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_26 (not _let_61)))) (ASSUME :args (_let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.v_ha______ tptp.v_a______ tptp.v_C______ tptp.v_fs______ _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.hAPP _let_64 V_fs) (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_12 (tptp.hAPP _let_64 V_fs_H)) tptp.tc_nat _let_7)))) :args _let_62)) _let_63 :args (_let_61 false _let_19)) :args (_let_26 false _let_16 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_45 _let_47 _let_31 (not _let_57)))) _let_56 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.v_la______ _let_29 _let_28 tptp.v_P tptp.v_ha______ tptp.v_E____ _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.hAPP V_l V_V) (tptp.hAPP _let_8 V_v) (not (= (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a) false))))) :args _let_58)) _let_59 :args (_let_57 false _let_20)) :args (_let_31 false _let_18 false _let_46 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_14 _let_41 _let_38 (not _let_42)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_45 _let_47 _let_40 (not _let_48)))) _let_56 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_la______ _let_29 _let_28 tptp.v_P tptp.v_ha______ tptp.v_E____ _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.hAPP V_l V_V) (tptp.hAPP _let_8 V_v) (not (= (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a) false))))) :args _let_49)) _let_50 :args (_let_48 false _let_21)) :args (_let_40 false _let_18 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.v_E____ tptp.v_P _let_13 tptp.v_la______ _let_2 _let_30 QUANTIFIERS_INST_E_MATCHING ((tptp.hAPP _let_39 V_x) (not (= (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a) true))))) :args _let_43)) _let_44 :args (_let_42 false _let_23)) :args (_let_38 true _let_14 false _let_40 false _let_42)) :args (_let_37 false _let_26 false _let_31 true _let_33)) _let_36 :args (false true _let_34 false _let_24)) :args ((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_P $$unsorted) (V_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OCond _let_2 V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_1) V_s _let_2 V_s)))) (forall ((V_a $$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_P $$unsorted) (V_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_1) V_s (tptp.c_Expr_Oexp_OCond V_e_H V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) _let_1) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A V_B _let_1) (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot _let_1) T_a) _let_1)))) (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) _let_1) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot _let_1) T_a) _let_1) V_B _let_1)))) (forall ((V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (forall ((V_P $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (forall ((V_exp1 $$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 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_v_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBinOp (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_1) V_bop _let_2 _let_1) V_s _let_2 V_s)))) (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_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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0622) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_2 V_s_092_060_094isub_0622)) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_1) V_s_092_060_094isub_0621)))))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H 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 $$unsorted) (V_exp1_H $$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_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Orderings_Obot__class_Obot _let_1) _let_1) V_A))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_HOL_Ominus__class_Ominus V_A V_A _let_1) (tptp.c_Orderings_Obot__class_Obot _let_1)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_1) V_s (tptp.c_Expr_Oexp_OSeq V_e_H V_e_092_060_094isub_0622 _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OWhile V_b V_c _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCond V_b (tptp.c_Expr_Oexp_OSeq V_c _let_2 _let_1) (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_1) _let_1) V_s V_e_H V_s_H) (not (tptp.c_BigStep_Oeval V_P _let_2 V_s V_e_H V_s_H)))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OWhile V_b V_c _let_1))) (or (tptp.c_BigStep_Oeval V_P _let_2 V_s V_e_H V_s_H) (not (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCond V_b (tptp.c_Expr_Oexp_OSeq V_c _let_2 _let_1) (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_1) _let_1) V_s V_e_H V_s_H)))))) (forall ((V_exp_H $$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_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_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H 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_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_exp1_H $$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_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_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OVar V_a_H T_a)))) (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_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_Orderings_Obot__class_Obot _let_1))) (= (tptp.c_HOL_Ominus__class_Ominus _let_2 V_A _let_1) _let_2)))) (forall ((V_exp1_H $$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_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp 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_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OWhile V_b V_c _let_1))) (tptp.c_SmallStep_Oredp V_P _let_2 V_s (tptp.c_Expr_Oexp_OCond V_b (tptp.c_Expr_Oexp_OSeq V_c _let_2 _let_1) (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_1) _let_1) V_s)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_1) V_s (tptp.c_Expr_Oexp_OCall V_e_H V_M V_es _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_l_H $$unsorted) (V_V $$unsorted) (V_v_H $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_v $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_T $$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.c_Pair (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.hAPP _let_3 V_h_H))) (let ((_let_5 (tptp.hAPP _let_3 V_h))) (let ((_let_6 (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval))) (or (not (= (tptp.hAPP V_l_H V_V) (tptp.hAPP _let_6 V_v_H))) (not (tptp.c_SmallStep_Oredp V_P V_e (tptp.hAPP _let_5 (tptp.c_Fun_Ofun__upd V_l V_V (tptp.hAPP _let_6 V_v) _let_2 _let_1)) V_e_H (tptp.hAPP _let_4 V_l_H))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2) V_e _let_2) _let_2) (tptp.hAPP _let_5 V_l) (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v_H _let_2) _let_2) V_e_H _let_2) _let_2) (tptp.hAPP _let_4 (tptp.c_Fun_Ofun__upd V_l_H V_V (tptp.hAPP V_l V_V) _let_2 _let_1))))))))))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$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_OVal V_val T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$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_OVar V_a T_a)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (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_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_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_OWhile V_exp1 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) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OCall _let_2 V_M V_es _let_1) V_s _let_2 V_s)))) (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_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OVar V_a_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_fun T_b tptp.tc_bool))) (let ((_let_2 (tptp.c_Map_Odom V_f T_b T_a))) (or (not (= (tptp.hAPP V_f V_x) (tptp.c_Option_Ooption_ONone T_a))) (= (tptp.c_HOL_Ominus__class_Ominus _let_2 (tptp.c_Set_Oinsert V_x V_A T_b) _let_1) (tptp.c_HOL_Ominus__class_Ominus _let_2 V_A _let_1)))))) (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_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1_H $$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_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_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 $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_P $$unsorted) (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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_1) V_s (tptp.c_Expr_Oexp_OTryCatch V_e_H V_C V_V V_e_092_060_094isub_0622 _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$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_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp_H $$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 $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp_H $$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_P $$unsorted) (V_V $$unsorted) (V_T $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_1) _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_1) _let_1) _let_2 _let_1) _let_1) V_s _let_2 V_s)))) (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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OSeq _let_2 V_e_092_060_094isub_0622 _let_1) V_s _let_2 V_s)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OWhile V_e V_c _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_HOL_Ominus__class_Ominus V_A V_B _let_1))) (= (tptp.c_HOL_Ominus__class_Ominus _let_2 V_B _let_1) _let_2)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp $$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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCast V_C V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBinOp _let_2 V_bop V_e_092_060_094isub_0622 _let_1) V_s _let_2 V_s)))) (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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_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_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_Set_Oinsert V_a (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot _let_1) T_a) _let_1) T_a) (tptp.c_Set_Oinsert V_a V_A T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_a_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_b $$unsorted) (V_c $$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_OWhile V_b V_c _let_2))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OCond V_b (tptp.c_Expr_Oexp_OSeq V_c _let_6 _let_2) (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2) _let_2)) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (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_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))) (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B _let_1) T_a T_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop _let_1) T_a T_b))))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_HOL_Ominus T_b)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP V_A tptp.v_x) (tptp.hAPP V_B tptp.v_x) T_b)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_V $$unsorted) (V_T $$unsorted) (V_v $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_u _let_2))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2) _let_6 _let_2) _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_P $$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_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 $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (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_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_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_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp_H $$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_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot _let_1) T_a) _let_1) V_A) (tptp.hBOOL (tptp.c_in V_x V_A T_a))))) (forall ((V_exp1_H $$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_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_P $$unsorted) (V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OCast V_C _let_2 _let_1) V_s _let_2 V_s)))) (forall ((V_exp1_H $$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_P $$unsorted) (V_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_1) V_s (tptp.c_Expr_Oexp_OBinOp V_e_H V_bop V_e_092_060_094isub_0622 _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_exp1_H $$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_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_OWhile 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 $$unsorted) (V_bop $$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_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Orderings_Otop__class_Otop _let_1) _let_1) (tptp.c_Orderings_Obot__class_Obot _let_1)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a 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_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 $$unsorted) (V_list1 $$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_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_P $$unsorted) (V_C $$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))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OCast V_C V_e _let_1) V_s (tptp.c_Expr_Oexp_OCast V_C V_e_H _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$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_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_Set_Oinsert V_a (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot _let_1) T_a) _let_1) T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H 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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_val_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val 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 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_ty V_ty_H))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_exp1 $$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_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_a_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop 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_OWhile V_exp1_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) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_V $$unsorted) (V_T $$unsorted) (V_v $$unsorted) (V_u $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OVal V_u _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_1) _let_1) _let_2 _let_1) _let_1) V_s _let_2 V_s)))) (forall ((V_exp1_H $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) V_B _let_1) (tptp.c_Set_Oinsert V_x (tptp.c_HOL_Ominus__class_Ominus V_A V_B _let_1) T_a)) (tptp.hBOOL (tptp.c_in V_x V_B T_a))))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) V_B _let_1) (tptp.c_HOL_Ominus__class_Ominus V_A V_B _let_1)) (not (tptp.hBOOL (tptp.c_in V_x V_B T_a)))))) (forall ((V_P $$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_v_092_060_094isub_0621 $$unsorted) (V_bop $$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.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_1))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBinOp _let_2 V_bop V_e _let_1) V_s (tptp.c_Expr_Oexp_OBinOp _let_2 V_bop V_e_H _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H)))))) (forall ((V_P $$unsorted) (V_V $$unsorted) (V_T $$unsorted) (V_u $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OVal V_u _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OBlock V_V V_T _let_2 _let_1) V_s _let_2 V_s)))) (forall ((V_P $$unsorted) (V_v $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OVal V_v _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OTryCatch _let_2 V_C V_V V_e_092_060_094isub_0622 _let_1) V_s _let_2 V_s)))) (forall ((V_P $$unsorted) (V_v $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OVal V_v _let_1) V_e_092_060_094isub_0622 _let_1) V_s V_e_092_060_094isub_0622 V_s))) (forall ((V_e $$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_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp V_e_H V_bop V_e_092_060_094isub_0622 _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCall V_e_H V_M V_es _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp 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_let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (let ((_let_10 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp _let_10 V_bop V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp _let_10 V_bop V_e_H _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6))))))))))))))) (forall ((V_e $$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))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OCond _let_6 V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OBinOp _let_6 V_bop V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP 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V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_e $$unsorted) (V_M $$unsorted) (V_es $$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))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OCall _let_6 V_M V_es _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_m $$unsorted) (V_D $$unsorted) (T_a $$unsorted) (T_b $$unsorted) 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T_a))))))) (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))) (let ((_let_10 (tptp.c_Pair _let_4 _let_3))) (let ((_let_11 (tptp.hAPP _let_10 V_h_H))) (let ((_let_12 (tptp.c_Pair _let_6 _let_5))) (let ((_let_13 (tptp.hAPP _let_12 V_e_H))) (let ((_let_14 (tptp.hAPP _let_10 V_h))) (let ((_let_15 (tptp.hAPP _let_12 V_e))) (let ((_let_16 (tptp.c_Pair _let_7 _let_7))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_16 (tptp.hAPP _let_15 (tptp.hAPP _let_14 (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l _let_2 tptp.tc_Value_Oval)))) (tptp.hAPP _let_13 (tptp.hAPP _let_11 (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l_H _let_2 tptp.tc_Value_Oval)))) _let_9 _let_8)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_16 (tptp.hAPP _let_15 (tptp.hAPP _let_14 V_l))) (tptp.hAPP _let_13 (tptp.hAPP _let_11 V_l_H))) _let_9 _let_8))))))))))))))))))))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__of (tptp.c_List_Ozip V_xs V_ys T_a T_b) T_a T_b) V_x) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_xa))) (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))) (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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp V_e_H V_bop V_e_092_060_094isub_0622 _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OTryCatch V_e_H V_C V_V V_e_092_060_094isub_0622 _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCast V_C V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCast V_C V_e_H _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$unsorted) (V_M $$unsorted) (V_es $$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 _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCall V_e_H V_M V_es _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _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 _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OSeq V_e_H V_e_092_060_094isub_0622 _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCond V_e_H V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd V_f V_x (tptp.c_Option_Ooption_ONone T_b) T_a (tptp.tc_Option_Ooption T_b)) T_a T_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Map_Odom V_f T_a T_b) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot _let_1) T_a) _let_1)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__of (tptp.c_List_Ozip V_xs V_ys T_a T_b) T_a T_b) V_x) (tptp.c_Option_Ooption_ONone T_b))) (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (= (tptp.hAPP (tptp.c_Map_Omap__of (tptp.c_List_Ozip V_xs V_ys T_a T_b) T_a T_b) V_x) (tptp.c_Option_Ooption_ONone T_b)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))) (forall ((V_e $$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))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_Othrow _let_6 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_b)) (= (tptp.c_Finite__Set_Osetsum V_f V_B T_a T_b) (tptp.c_Finite__Set_Osetsum (tptp.c_Fun_Oid T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) T_b T_b)) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (not (= (tptp.c_Orderings_Otop__class_Otop _let_1) (tptp.c_Orderings_Obot__class_Obot _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_x)))) (forall ((V_f2 $$unsorted) (V_xa $$unsorted) (V_g2 $$unsorted) (T_aa $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1 V_xa V_f2 V_g2 T_aa T_a))) (or (not (= (tptp.hAPP V_f2 _let_1) (tptp.hAPP V_g2 _let_1))) (= (tptp.c_Option_Ooption_Ooption__case V_x V_f2 V_xa T_a T_aa) (tptp.c_Option_Ooption_Ooption__case V_x V_g2 V_xa T_a T_aa))))) (forall ((T_b $$unsorted) (V_D $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_b))) (= (tptp.hAPP (tptp.c_Map_Orestrict__map (tptp.c_COMBK _let_1 (tptp.tc_Option_Ooption T_b) tptp.t_a) V_D tptp.t_a T_b) tptp.v_x) _let_1))) (forall ((V_V $$unsorted) (V_v $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_P $$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.hAPP (tptp.c_Pair _let_4 _let_3) V_h))) (let ((_let_9 (tptp.c_Pair _let_6 _let_5))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_7 _let_7) (tptp.hAPP (tptp.hAPP _let_9 (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2)) (tptp.hAPP _let_8 V_l))) (tptp.hAPP (tptp.hAPP _let_9 (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2)) (tptp.hAPP _let_8 (tptp.c_Fun_Ofun__upd V_l V_V (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_2 _let_1)))) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x) (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 (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_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAss V_e_H V_F V_D V_e_092_060_094isub_0622 _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAcc V_e_H V_F V_D _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (= V_x V_y))) (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 _let_4 _let_3))) (let 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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_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))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OFAss (tptp.c_Expr_Oexp_OVal V_v _let_2) V_F V_D _let_6 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_e $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_a _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_e _let_2)) V_s)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) _let_9) _let_7 _let_6))))))))))))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Ofilter V_P V_xs T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ocomp V_f (tptp.c_Fun_Oid T_a) T_a T_b T_a) V_f)) (forall ((T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ocomp (tptp.c_Fun_Oid T_b) V_g T_b T_b T_a) V_g)) (forall ((V_exp1_H $$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_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$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_OVar V_a 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 ((T_a $$unsorted)) (let ((_let_1 (tptp.c_Fun_Oid T_a))) (= (tptp.c_Hilbert__Choice_Oinv__into (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) _let_1 T_a T_a) _let_1))) (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.c_Fun_Oid T_a) V_A T_a T_a)) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (let ((_let_10 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAss _let_10 V_F V_D V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAss _let_10 V_F V_D V_e_H _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6))))))))))))))) (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= (tptp.c_Set_Oinsert V_xa (tptp.c_Set_Oinsert V_x _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_xa _let_1 T_a) T_a)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Ofilter V_P V_ys T_a))) (tptp.hBOOL (tptp.hAPP V_P V_x)))) (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a 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 $$unsorted) (T_a $$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 $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a _let_1 T_a) (tptp.c_Set_Oinsert V_b _let_1 T_a))) (= V_a V_b)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (forall ((T_a $$unsorted)) (= (tptp.c_Option_Oset (tptp.c_Option_Ooption_ONone T_a) T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((V_g $$unsorted) (V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 V_A V_f V_g T_a T_b))) (let ((_let_2 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 V_A V_f V_g T_a T_b))) (or (not (= (tptp.hAPP V_g _let_2) (tptp.hAPP V_g _let_1))) (not (= (tptp.hAPP V_g (tptp.hAPP V_f _let_2)) (tptp.hAPP V_g (tptp.hAPP V_f _let_1)))) (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b) (not (tptp.c_Fun_Oinj__on V_g V_A T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)))))) (forall ((V_g $$unsorted) (V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 V_A V_f V_g T_a T_b))) (let ((_let_2 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 V_A V_f V_g T_a T_b))) (or (not (= (tptp.hAPP V_g _let_2) (tptp.hAPP V_g _let_1))) (not (= (tptp.hAPP V_g (tptp.hAPP V_f _let_2)) (tptp.hAPP V_g (tptp.hAPP V_f _let_1)))) (tptp.c_Fun_Oinj__on V_g V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)))))) (forall ((V_g $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 V_A V_f V_g T_a T_b))) (let ((_let_2 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 V_A V_f V_g T_a T_b))) (or (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b) (not (tptp.c_Fun_Oinj__on V_g V_A T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (= (tptp.hAPP V_g _let_2) (tptp.hAPP V_g _let_1)) (= (tptp.hAPP V_g (tptp.hAPP V_f _let_2)) (tptp.hAPP V_g (tptp.hAPP V_f _let_1))))))) (forall ((V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted)) (let ((_let_1 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 V_A V_f V_g T_a T_b))) (let ((_let_2 (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 V_A V_f V_g T_a T_b))) (or (tptp.c_Fun_Oinj__on V_g V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (= (tptp.hAPP V_g _let_2) (tptp.hAPP V_g _let_1)) (= (tptp.hAPP V_g (tptp.hAPP V_f _let_2)) (tptp.hAPP V_g (tptp.hAPP V_f _let_1))))))) (forall ((V_P $$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))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_Othrow V_e _let_1) V_s (tptp.c_Expr_Oexp_Othrow V_e_H _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (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_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp_H $$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_a $$unsorted) (V_b $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_v $$unsorted)) (or (not (= (tptp.c_Fun_Ocomp V_a V_b T_c T_b T_a) (tptp.c_Fun_Ocomp (tptp.c_Fun_Oid T_b) V_c T_b T_b T_a))) (= (tptp.hAPP V_a (tptp.hAPP V_b V_v)) (tptp.hAPP V_c V_v)))) (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))) (or (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into _let_1 V_f T_a T_b) (tptp.hAPP V_f V_x)) V_x) (not (tptp.c_Fun_Oinj__on V_f _let_1 T_a T_b))))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OVar V_a_H T_a))) (= V_a V_a_H))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Option__Xoption__Xsplit__1 V_P V_f2 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((T_a $$unsorted) (V_Y $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_Fun_Oid T_a) V_Y T_a T_a) V_Y)) (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))) (or (= (tptp.c_Set_Oimage (tptp.c_Hilbert__Choice_Oinv__into _let_1 V_f T_a T_b) (tptp.c_Set_Oimage V_f V_X T_a T_b) T_b T_a) V_X) (not (tptp.c_Fun_Oinj__on V_f _let_1 T_a T_b))))) (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))) (or (= (tptp.c_Set_Oimage (tptp.c_Hilbert__Choice_Oinv__into _let_1 V_f T_a T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b T_a) V_A) (not (tptp.c_Fun_Oinj__on V_f _let_1 T_a T_b))))) (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OVar V_a T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp $$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_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))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Oid T_a) V_x) V_x)) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ooverride__on V_f V_g (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) V_f)) (forall ((V_s $$unsorted) (V_V $$unsorted) (V_v $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Pair _let_4 _let_3))) (or (not (= (tptp.c_State_Olcl V_s V_V) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_6 (tptp.c_Expr_Oexp_OVar V_V _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_6 (tptp.c_Expr_Oexp_OVal V_v _let_2)) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (or (not (= (tptp.c_Map_Odom V_f T_a T_b) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (= V_f (tptp.c_Fun_Ofun__upd (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_b) _let_1 T_a) V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) (tptp.c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1 V_f V_x T_a T_b)) T_a _let_1))))) (forall ((V_e_092_060_094isub_0621 $$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 _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (let ((_let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_e _let_2)) V_s_092_060_094isub_0622))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (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_10) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e_092_060_094isub_0622) V_s_092_060_094isub_0621)) _let_10) _let_7 _let_6))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e_092_060_094isub_0621) V_s_092_060_094isub_0620)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2)) V_s_092_060_094isub_0621)) _let_7 _let_6))))))))))))))) (forall ((V_V $$unsorted) (V_T $$unsorted) (V_a $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2) _let_2))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OBlock V_V V_T _let_6 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_zs $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.c_Map_Omap__of (tptp.c_List_Ozip V_xs V_zs T_b T_a) T_b T_a))) (let ((_let_2 (tptp.c_Map_Omap__of (tptp.c_List_Ozip V_xs V_ys T_b T_a) T_b T_a))) (let ((_let_3 (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_b)))) (let ((_let_4 (tptp.tc_List_Olist T_a))) (let ((_let_5 (tptp.tc_Option_Ooption T_a))) (let ((_let_6 (tptp.c_Option_Ooption_OSome T_a))) (or (not (= (tptp.c_Fun_Ofun__upd _let_2 V_x (tptp.hAPP _let_6 V_y) T_b _let_5) (tptp.c_Fun_Ofun__upd _let_1 V_x (tptp.hAPP _let_6 V_z) T_b _let_5))) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_b) T_b)) (not (= (tptp.c_Nat_Osize__class_Osize V_zs _let_4) _let_3)) (not (= (tptp.c_Nat_Osize__class_Osize V_ys _let_4) _let_3)) (= _let_2 _let_1))))))))) (forall ((V_e $$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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7))) (let ((_let_10 (tptp.c_Pair _let_4 _let_3))) (let ((_let_11 (tptp.hAPP _let_10 V_h_H))) (let ((_let_12 (tptp.c_Pair _let_6 _let_5))) (let ((_let_13 (tptp.hAPP _let_12 V_e_H))) (let ((_let_14 (tptp.hAPP _let_10 V_h))) (let ((_let_15 (tptp.hAPP _let_12 V_e))) (let ((_let_16 (tptp.c_Pair _let_7 _let_7))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_16 (tptp.hAPP _let_15 (tptp.hAPP _let_14 (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l _let_2 tptp.tc_Value_Oval)))) (tptp.hAPP _let_13 (tptp.hAPP _let_11 (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l_H _let_2 tptp.tc_Value_Oval)))) _let_9 _let_8)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_16 (tptp.hAPP _let_15 (tptp.hAPP _let_14 V_l))) (tptp.hAPP _let_13 (tptp.hAPP _let_11 V_l_H))) _let_9 _let_8))))))))))))))))))))) (forall ((V_m $$unsorted) (V_D $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Map_Orestrict__map V_m V_D T_a T_b) V_x (tptp.c_Option_Ooption_ONone T_b) T_a (tptp.tc_Option_Ooption T_b)) (tptp.c_Map_Orestrict__map V_m (tptp.c_HOL_Ominus__class_Ominus V_D (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot _let_1) T_a) _let_1) T_a T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_D T_a)))))) (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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_6 _let_5))) (let ((_let_10 (tptp.tc_prod (tptp.tc_List_Olist _let_2) _let_6))) (or (tptp.c_Conform_Ohconf V_P V_h_H _let_10) (not (tptp.c_Conform_Ohconf V_P V_h _let_10)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_7 _let_7) (tptp.hAPP (tptp.hAPP _let_9 V_e) (tptp.hAPP (tptp.hAPP _let_8 V_h) V_l))) (tptp.hAPP (tptp.hAPP _let_9 V_e_H) (tptp.hAPP (tptp.hAPP _let_8 V_h_H) V_l_H))) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7)))))))))))))))) (forall ((V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_s0 $$unsorted) (V_a $$unsorted) (V_s_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_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 _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_a _let_2)) V_s_092_060_094isub_0621))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_2)) V_s0)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s0)) _let_9) _let_7 _let_6))))))))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_a _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2)) V_s)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) _let_9) _let_7 _let_6))))))))))))))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_a _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OCast V_C V_e _let_2)) V_s)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) _let_9) _let_7 _let_6))))))))))))))) (forall ((V_e $$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 _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_e_H _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2)) V_s)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) _let_9) _let_7 _let_6))))))))))))))) (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 _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_e _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OWhile V_b V_c _let_2)) V_s)) _let_9) _let_7 _let_6)) (not 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_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 _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (let ((_let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e_092_060_094isub_0622_H) V_s_092_060_094isub_0622))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (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_10) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e_092_060_094isub_0622) V_s_092_060_094isub_0621)) _let_10) _let_7 _let_6))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e_092_060_094isub_0621) V_s_092_060_094isub_0620)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2)) V_s_092_060_094isub_0621)) _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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (let ((_let_10 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp _let_10 V_bop V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OBinOp _let_10 V_bop V_e_H _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6))))))))))))))) (forall ((V_e $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_v $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2)) V_s)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) _let_9) _let_7 _let_6))))))))))))))) (forall ((V_v_092_060_094isub_0621 $$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))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (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)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_V $$unsorted) (V_e $$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))) (let ((_let_7 (tptp.c_Pair _let_4 _let_3))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_5 _let_5) (tptp.hAPP (tptp.hAPP _let_7 (tptp.c_Expr_Oexp_OLAss V_V _let_6 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_7 _let_6) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Option__Xoption__Xsplit__asm__1 V_P V_f2 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_x))) (forall ((T_b $$unsorted)) (or (not (tptp.class_Orderings_Otop T_b)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop T_b)))) (forall ((V_xo $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Option_Oset V_xo T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_xo (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OVar V_a_H T_a)))) (forall ((V_P $$unsorted) (V_V $$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))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OLAss V_V V_e _let_1) V_s (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_Othrow V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_a $$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 $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_m $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Orestrict__map V_m V_A T_a T_b) V_x) (tptp.hAPP V_m V_x)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_a V_d) (= V_a V_c)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_b V_c) (= V_a V_c)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_a V_d) (= V_b V_d)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_b V_c) (= V_b V_d)))) (= (tptp.hAPP _let_25 tptp.v_x) (tptp.c_in tptp.v_x _let_25 tptp.t_a)) (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.hBOOL (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)) (not (tptp.hBOOL (tptp.c_in V_p V_r _let_1)))))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_b)) (= (tptp.c_Finite__Set_Osetprod V_f V_B T_a T_b) (tptp.c_Finite__Set_Osetprod (tptp.c_Fun_Oid T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) T_b T_b)) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Map_Odom V_f T_a T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_f (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_b) (tptp.tc_Option_Ooption T_b) T_a)))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_v $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7))) (let ((_let_10 (tptp.hAPP (tptp.c_Pair _let_4 _let_3) V_h_H))) (let ((_let_11 (tptp.c_Pair _let_6 _let_5))) (let ((_let_12 (tptp.c_Pair _let_7 _let_7))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_12 (tptp.hAPP (tptp.hAPP _let_11 (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_11 (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2)) (tptp.hAPP _let_10 (tptp.c_Fun_Ofun__upd V_l_H V_V (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_2 _let_1)))) _let_9 _let_8)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_12 (tptp.hAPP (tptp.hAPP _let_11 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_11 (tptp.c_Expr_Oexp_OVal V_v _let_2)) (tptp.hAPP _let_10 V_l_H))) _let_9 _let_8))))))))))))))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_R $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_a) V_x) V_x) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_r $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_a) V_a) V_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$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))) (let ((_let_3 (tptp.c_Pair T_a T_a))) (let ((_let_4 (tptp.hAPP _let_3 V_a))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP _let_4 V_c) _let_2 _let_1)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_3 V_b) V_c) _let_2 _let_1))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP _let_4 V_b) _let_2 _let_1))))))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a V_A T_a)))) (forall ((T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Oran (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_a) (tptp.tc_Option_Ooption T_a) T_b) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))) (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair T_a T_a))) (let ((_let_3 (tptp.hAPP _let_2 V_a))) (let ((_let_4 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP _let_3 V_c) _let_4 _let_1)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_2 V_b) V_c) _let_4 _let_1))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP _let_3 V_b) V_r _let_1))))))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$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))) (let ((_let_3 (tptp.c_Pair T_a T_a))) (let ((_let_4 (tptp.hAPP _let_3 V_a))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP _let_4 V_c) _let_2 _let_1)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_3 V_b) V_c) V_r _let_1))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP _let_4 V_b) _let_2 _let_1))))))))) (forall ((V_P $$unsorted) (V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OLAss V_V _let_2 _let_1) V_s _let_2 V_s)))) (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_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp V_f V_g T_c T_b tptp.t_a) tptp.v_x) (tptp.hAPP V_f (tptp.hAPP V_g tptp.v_x)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.c_Option_Oset (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVar V_a T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((T_b $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Map_Odom (tptp.c_COMBK (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_y) (tptp.tc_Option_Ooption T_b) T_a) T_a T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))) (or (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into _let_1 V_f T_a T_b) (tptp.hAPP V_f V_x)) V_x) (not (tptp.c_Fun_Oinj__on V_f _let_1 T_a T_b))))) (forall ((V_f $$unsorted) (T_aa $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_aa tptp.tc_bool)))) (or (not (tptp.c_Fun_Oinj__on V_f _let_1 T_aa T_a)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into _let_1 V_f T_aa T_a) (tptp.hAPP V_f V_x)) V_x)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_a _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2)) V_s)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) _let_9) _let_7 _let_6))))))))))))))) (forall ((V_e $$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_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_e _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_e_H _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAcc V_e_H V_F V_D _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_e $$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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAss V_e_H V_F V_D V_e_092_060_094isub_0622 _let_2)) V_s_H)) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_9 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_8 V_e_H) V_s_H)) _let_7 _let_6)))))))))))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Ofilter V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))) (forall ((V_m $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Map_Orestrict__map V_m (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a T_b) tptp.v_x) (tptp.c_Option_Ooption_ONone T_b))) (forall ((V_e $$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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair _let_4 _let_3))) (let ((_let_9 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_Othrow V_e_H _let_2)) V_s_H))) (let ((_let_10 (tptp.c_Pair _let_5 _let_5))) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2)) V_s)) _let_9) _let_7 _let_6)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_10 (tptp.hAPP (tptp.hAPP _let_8 V_e) V_s)) _let_9) _let_7 _let_6))))))))))))))) (forall ((V_g $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))) (or (= (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp V_g (tptp.c_Hilbert__Choice_Oinv__into _let_1 V_f T_a T_b) T_a T_c T_b) V_f T_b T_c T_a) V_g) (not (tptp.c_Fun_Oinj__on V_f _let_1 T_a T_b))))) (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_fs $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted) (V_s_H $$unsorted) (V_a $$unsorted) (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_fun (tptp.tc_prod _let_2 _let_2) _let_1))) (let ((_let_4 (tptp.tc_prod _let_2 _let_3))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption _let_4)) (tptp.tc_fun _let_2 _let_1)))) (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))) (let ((_let_10 (tptp.c_Pair _let_6 _let_5))) (let ((_let_11 (tptp.c_Pair _let_7 _let_7))) (or (not (= (tptp.hAPP V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D)) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (not (= (tptp.c_State_Ohp V_s_H V_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_4) (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_3) V_C) V_fs)))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_11 (tptp.hAPP (tptp.hAPP _let_10 V_e) V_s)) (tptp.hAPP (tptp.hAPP _let_10 (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2)) V_s_H)) _let_9 _let_8))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_11 (tptp.hAPP (tptp.hAPP _let_10 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_10 (tptp.c_Expr_Oexp_OVal V_v _let_2)) V_s_H)) _let_9 _let_8))))))))))))))) (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_xa T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hBOOL (tptp.c_in V_x V_xa T_a)))) (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (= V_b V_a) (not (tptp.hBOOL (tptp.c_in V_b (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m V_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_b))) (tptp.hBOOL (tptp.c_in V_b (tptp.c_Map_Oran V_m T_b T_a) T_a)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) T_a))) (forall ((V_A $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_b T_a) V_x) V_A T_b)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a))))) (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Set_Oimage V_f V_A T_a T_b))) (let ((_let_2 (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_a T_b))) (or (not (= (tptp.hAPP _let_2 V_x) (tptp.hAPP _let_2 V_y))) (= V_x V_y) (not (tptp.hBOOL (tptp.c_in V_y _let_1 T_b))) (not (tptp.hBOOL (tptp.c_in V_x _let_1 T_b))))))) (forall ((V_xo $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (= V_xo (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Option_Oset V_xo T_a) T_a))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m V_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_b))) (tptp.hBOOL (tptp.c_in V_a (tptp.c_Map_Odom V_m T_b T_a) T_b)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (= (tptp.hAPP V_f (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_b T_a) V_y)) V_y) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a))))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Option_Oset (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x) T_a) T_a))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))) (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_a T_b) (tptp.hAPP V_f V_x)) V_x) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_aa))) (not (tptp.c_Fun_Oinj__on V_f V_A T_aa T_a)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_aa T_a) (tptp.hAPP V_f V_x)) V_x))) (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into V_A V_f T_a T_b) (tptp.hAPP V_f V_x)) V_x) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Fun_Oinj__on V_f V_A T_aa T_a)) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into V_A V_f T_aa T_a) (tptp.hAPP V_f V_x)) V_x) (not (tptp.hBOOL (tptp.c_in V_x V_A T_aa))))) (forall ((V_m $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Orestrict__map V_m V_A T_a T_b) V_x) (tptp.c_Option_Ooption_ONone T_b)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_ONone T_b))) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Map_Odom V_m T_a T_b) T_a))))) (forall ((V_a $$unsorted) (V_m $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Map_Odom V_m T_a T_b) T_a)) (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_ONone T_b)))) (forall ((V_m $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_D $$unsorted)) (or (= (tptp.c_Map_Orestrict__map (tptp.c_Fun_Ofun__upd V_m V_x V_y T_a (tptp.tc_Option_Ooption T_b)) V_D T_a T_b) (tptp.c_Map_Orestrict__map V_m V_D T_a T_b)) (tptp.hBOOL (tptp.c_in V_x V_D T_a)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Map_Odom V_f T_b T_a))) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_y))) (= (tptp.c_Set_Oinsert V_x _let_1 T_b) _let_1)))) (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Othe__inv__into V_A V_f T_a T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b T_a) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (= V_A V_B))) (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_Fun_Othe__inv__into V_A V_f T_a T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b T_a) V_A) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_a T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Orestrict__map V_f (tptp.c_Set_Oinsert V_a V_A T_a) T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Orestrict__map V_f V_A T_a T_b) V_a (tptp.hAPP V_f V_a) T_a (tptp.tc_Option_Ooption T_b)))) (forall ((V_l1 $$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.hBOOL (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 $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__add V_l1 V_l2 T_a T_b) V_m) (tptp.hAPP V_l2 V_m)) (tptp.hBOOL (tptp.c_in V_m (tptp.c_Map_Odom V_l1 T_a T_b) T_a)))) (forall ((V_l1 $$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_l1 V_m)) (tptp.hBOOL (tptp.c_in V_m (tptp.c_Map_Odom V_l2 T_a T_b) T_a)))) (forall ((V_c $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_f $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK V_c T_b T_c) V_f T_c T_b tptp.t_a) tptp.v_x) V_c)) (forall ((V_f $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__upds V_f V_xs V_ys T_a T_b) V_x) (tptp.hAPP V_f V_x)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))) (forall ((V_m_092_060_094isub_0621 $$unsorted) (V_x $$unsorted) (V_m_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.hAPP V_m_092_060_094isub_0621 V_x) (tptp.hAPP V_m_092_060_094isub_0622 V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Map_Odom V_m_092_060_094isub_0621 T_a T_b) T_a))) (not (tptp.c_Map_Omap__le V_m_092_060_094isub_0621 V_m_092_060_094isub_0622 T_a T_b)))) (forall ((V_P $$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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_x $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (T_aa $$unsorted) (V_g2 $$unsorted)) (or (= (tptp.c_Option_Ooption_Ooption__case V_x V_f2 V_xa T_a T_aa) (tptp.c_Option_Ooption_Ooption__case V_x V_g2 V_xa T_a T_aa)) (= V_xa (tptp.hAPP (tptp.c_Option_Ooption_OSome T_aa) (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1 V_xa V_f2 V_g2 T_aa T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (= V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) (tptp.v_sko__Option__Xoption__Xsplit__asm__1 V_P V_f2 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (= V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) (tptp.v_sko__Option__Xoption__Xsplit__1 V_P V_f2 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_E $$unsorted) (V_V $$unsorted) (V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted)) (or (not (= (tptp.hAPP V_E V_V) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty) V_T))) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OVar V_V (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T))) (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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Option__Xoption__Xsplit__1 V_P V_f2 V_x))))) (= V_x (tptp.c_Option_Ooption_ONone tptp.t_b)))) (forall ((V_f2 $$unsorted) (V_x $$unsorted) (V_g2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_f1 $$unsorted) (V_g1 $$unsorted)) (let ((_let_1 (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1 V_x V_f2 V_g2 T_a T_b))) (or (not (= (tptp.hAPP V_f2 _let_1) (tptp.hAPP V_g2 _let_1))) (= V_x (tptp.c_Option_Ooption_ONone T_a)) (= (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x T_b T_a) (tptp.c_Option_Ooption_Ooption__case V_g1 V_g2 V_x T_b T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Option__Xoption__Xsplit__asm__1 V_P V_f2 V_x))))) (= V_x (tptp.c_Option_Ooption_ONone tptp.t_b)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAss _let_2 V_F V_D V_e_092_060_094isub_0622 _let_1) V_s _let_2 V_s)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oscomp V_f V_g tptp.t_a T_c T_d T_b) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_split T_c T_d T_b) V_g) (tptp.hAPP V_f tptp.v_x)))) (forall ((V_fs $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1))) (let ((_let_4 (tptp.tc_prod _let_2 _let_3))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption _let_4)) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.c_Pair _let_6 _let_5))) (or (not (= (tptp.hAPP V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D)) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (not (= (tptp.c_State_Ohp V_s V_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_4) (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_3) V_C) V_fs)))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_7 _let_7) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OFAcc (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2) V_F V_D _let_2)) V_s)) (tptp.hAPP (tptp.hAPP _let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2)) V_s)) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (forall ((V_h $$unsorted) (V_v $$unsorted) (V_T $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Objects_Otypeof__h V_h V_v) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty) V_T))) (tptp.c_Conform_Oconf V_P V_h V_v V_T T_a))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAcc _let_2 V_F V_D _let_1) V_s _let_2 V_s)))) (forall ((V_h $$unsorted) (V_v $$unsorted) (V_T $$unsorted) (V_h_H $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty) V_T))) (or (not (= (tptp.c_Objects_Otypeof__h V_h V_v) _let_1)) (not (tptp.c_Objects_Ohext V_h V_h_H)) (= (tptp.c_Objects_Otypeof__h V_h_H V_v) _let_1)))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) _let_1)) (= (tptp.hAPP V_m1 (tptp.c_Map_Osko__Map__Xmap__comp__None__iff__1__1 V_k V_m1 V_m2 T_c T_b T_a)) _let_1) (= (tptp.hAPP V_m2 V_k) (tptp.c_Option_Ooption_ONone T_b))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.hBOOL (tptp.c_in V_y V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_xa))) (not (tptp.hBOOL (tptp.c_in V_xa V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_xa))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y) (not (tptp.hBOOL (tptp.c_in V_y V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Fun_Oswap V_a V_b (tptp.c_Fun_Oswap V_b V_c (tptp.c_Fun_Oswap V_a V_b V_f T_a T_b) T_a T_b) T_a T_b) (tptp.c_Fun_Oswap V_a V_c V_f T_a T_b)) (= V_b V_c) (= V_a V_c))) (forall ((V_m $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (or (not (= (tptp.hAPP V_m V_k) _let_1)) (not (= (tptp.hAPP V_n V_k) (tptp.c_Option_Ooption_ONone T_a))) (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone 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)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)) (= (tptp.hAPP V_n V_k) _let_1)))) (forall ((V_h_H $$unsorted) (V_h $$unsorted)) (or (tptp.c_Exceptions_Opreallocated V_h_H) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_Exceptions_Opreallocated V_h)))) (forall ((V_P $$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_obj $$unsorted) (T_a $$unsorted) (V_h $$unsorted)) (or (tptp.c_Conform_Ooconf V_P V_h_H V_obj T_a) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_Conform_Ooconf V_P V_h V_obj T_a)))) (forall ((V_h $$unsorted)) (tptp.c_Objects_Ohext V_h V_h)) _let_24 (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_f $$unsorted)) (= (tptp.hAPP (tptp.c_split T_a T_b T_c) (tptp.c_curry V_f T_a T_b T_c)) V_f)) (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Set_Oimage V_f V_A T_a T_b))) (or (= (tptp.c_Set_Oinsert (tptp.hAPP V_f V_x) _let_1 T_b) _let_1) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x V_B T_a))) (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (= V_A V_B))) (forall ((T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_d $$unsorted) (V_p $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_c T_b T_a) V_f) (tptp.hAPP (tptp.c_Product__Type_Oapfst V_g T_d T_a T_c) V_p)) (tptp.hAPP (tptp.c_Product__Type_Oapfst V_g T_d T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_c T_b T_d) V_f) V_p)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oscomp V_f V_g T_b T_c T_d T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_split T_c T_d T_a) V_g) (tptp.hAPP V_f V_x)))) (forall ((T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (T_d $$unsorted) (V_g $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_c T_b T_a) V_f) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_a) V_g) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_b T_a) (tptp.c_Fun_Ocomp V_f V_g T_c T_b T_d)) V_x))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (V_g $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapfst V_f T_c T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_b T_c) V_g) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) (tptp.hAPP V_f (tptp.c_fst V_x T_c T_d))) (tptp.hAPP V_g (tptp.c_snd V_x T_c T_d))))) (forall ((T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (= (tptp.c_snd (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_c T_a T_b) V_f) V_x) T_b T_a) (tptp.hAPP V_f (tptp.c_snd V_x T_b T_c)))) (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_f $$unsorted)) (= (tptp.c_curry (tptp.hAPP (tptp.c_split T_a T_b T_c) V_f) T_a T_b T_c) V_f)) (forall ((V_z $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_z (tptp.hAPP (tptp.hAPP (tptp.c_split T_b T_c (tptp.tc_fun T_a tptp.tc_bool)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_c) V_a) V_b)) T_a)) (not (tptp.hBOOL (tptp.c_in V_z (tptp.hAPP (tptp.hAPP V_c V_a) V_b) T_a))))) (forall ((V_s_H $$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_x $$unsorted) (T_a $$unsorted)) (or (= V_x (tptp.c_Option_Ooption_ONone T_a)) (not (tptp.hBOOL (tptp.c_Option_Ois__none V_x T_a))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Option_Omap V_f T_b T_a) (tptp.c_Option_Ooption_ONone T_b)) (tptp.c_Option_Ooption_ONone T_a))) (forall ((V_nat_H $$unsorted)) (not (= tptp.c_Value_Oval_OUnit (tptp.c_Value_Oval_OAddr V_nat_H)))) (forall ((V_g $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp V_g V_f T_b T_c T_a) V_A T_a T_c) (not (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b T_c)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Oswap V_a V_b V_f T_a T_b) V_A T_a T_b) (not (tptp.hBOOL (tptp.c_in V_b V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Oswap V_a V_b V_f T_a T_b) V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (not (tptp.hBOOL (tptp.c_in V_b V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Oswap V_a V_b V_f T_a T_b) V_A T_a T_b)) (not (tptp.hBOOL (tptp.c_in V_b V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (forall ((V_p $$unsorted) (V_ps $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__of (tptp.c_List_Olist_OCons V_p V_ps (tptp.tc_prod T_a T_b)) T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__of V_ps T_a T_b) (tptp.c_fst V_p T_a T_b) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) (tptp.c_snd V_p T_a T_b)) T_a (tptp.tc_Option_Ooption T_b)))) (forall ((V_m $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.hAPP V_m V_k) _let_1)) (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_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))) (forall ((V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (V_m1 $$unsorted) (T_a $$unsorted) (T_c $$unsorted)) (or (not (= (tptp.hAPP V_m2 V_k) (tptp.c_Option_Ooption_ONone T_b))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_m2 $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_m1 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m2 V_k) (tptp.c_Option_Ooption_ONone T_a))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_a T_c T_b) (tptp.c_Option_Ooption_ONone T_c)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Map_Omap__le V_f (tptp.c_Map_Omap__add V_g V_f T_a T_b) T_a T_b)) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_aa))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_aa T_a) T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))) (forall ((V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ocomp V_f (tptp.c_Fun_Oswap V_a V_b V_g T_a T_c) T_c T_b T_a) (tptp.c_Fun_Oswap V_a V_b (tptp.c_Fun_Ocomp V_f V_g T_c T_b T_a) T_a T_b))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_h $$unsorted)) (let ((_let_1 (tptp.c_Map_Omap__add V_f V_g T_a T_b))) (or (tptp.c_Map_Omap__le _let_1 V_h T_a T_b) (not (tptp.c_Map_Omap__le V_f _let_1 T_a T_b)) (not (tptp.c_Map_Omap__le V_g V_h T_a T_b)) (not (tptp.c_Map_Omap__le V_f V_h T_a T_b))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_P $$unsorted) (T_a $$unsorted) (V_obj $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval))))) (or (not (= (tptp.hAPP V_h V_a) (tptp.c_Option_Ooption_ONone _let_2))) (not (tptp.c_Conform_Ohconf V_P V_h T_a)) (tptp.c_Conform_Ohconf V_P (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_2) V_obj) tptp.tc_nat (tptp.tc_Option_Ooption _let_2)) T_a) (not (tptp.c_Conform_Ooconf V_P V_h V_obj T_a)))))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_c))) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_Option_Omap V_f T_c T_b) (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_c) _let_1 tptp.t_a) _let_1 (tptp.tc_Option_Ooption T_b) tptp.t_a) tptp.v_x) (tptp.c_Option_Ooption_ONone T_b)))) (forall ((V_E $$unsorted) (V_V $$unsorted) (V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_v $$unsorted) (T_a $$unsorted) (V_l $$unsorted)) (or (not (= (tptp.hAPP V_E V_V) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty) V_T))) (not (tptp.c_Conform_Oconf V_P V_h V_v V_T T_a)) (not (tptp.c_Conform_Olconf V_P V_h V_l V_E T_a)) (tptp.c_Conform_Olconf V_P V_h (tptp.c_Fun_Ofun__upd V_l V_V (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) (tptp.tc_List_Olist tptp.tc_String_Ochar) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)) V_E T_a))) (forall ((V_l $$unsorted) (V_V $$unsorted) (V_v $$unsorted) (V_P $$unsorted) (V_h $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.hAPP (tptp.hAPP (tptp.c_Pair (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)) V_h) V_l))) (or (not (= (tptp.hAPP V_l V_V) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OVar V_V _let_2) _let_3 (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_3)))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_as $$unsorted) (V_bs $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_b))) (or (= (tptp.c_Map_Omap__upds (tptp.c_Fun_Ofun__upd V_m V_a _let_2 T_a _let_1) V_as V_bs T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__upds V_m V_as V_bs T_a T_b) V_a _let_2 T_a _let_1)) (tptp.hBOOL (tptp.c_in V_a (tptp.c_List_Oset V_as T_a) T_a)))))) (forall ((V_e1 $$unsorted) (V_m $$unsorted) (T_b $$unsorted) (V_u1 $$unsorted) (T_a $$unsorted) (V_e2 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_u1))) (or (= (tptp.c_Map_Omap__add (tptp.c_Fun_Ofun__upd V_e1 V_m _let_2 T_a _let_1) V_e2 T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__add V_e1 V_e2 T_a T_b) V_m _let_2 T_a _let_1)) (tptp.hBOOL (tptp.c_in V_m (tptp.c_Map_Odom V_e2 T_a T_b) T_a)))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_ONone T_a))) (= (tptp.c_Map_Oran (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_b) T_b (tptp.tc_Option_Ooption T_a)) T_b T_a) (tptp.c_Set_Oinsert V_b (tptp.c_Map_Oran V_m T_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (or (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Option__Xospec__1__1 _let_1 V_P T_a) (tptp.c_Option_Oset _let_1 T_a) T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x))))) (forall ((V_A $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Set_Oimage V_g V_A T_c T_a))) (or (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into V_A (tptp.c_Fun_Ocomp V_f V_g T_a T_b T_c) T_c T_b) V_x) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_Fun_Othe__inv__into V_A V_g T_c T_a) (tptp.c_Fun_Othe__inv__into _let_1 V_f T_a T_b) T_a T_c T_b) V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oimage V_f _let_1 T_a T_b) T_b))) (not (tptp.c_Fun_Oinj__on V_g V_A T_c T_a)) (not (tptp.c_Fun_Oinj__on V_f _let_1 T_a T_b))))) (forall ((V_A $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Set_Oimage V_g V_A T_c T_a))) (or (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A (tptp.c_Fun_Ocomp V_f V_g T_a T_b T_c) T_c T_b) V_x) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_Hilbert__Choice_Oinv__into V_A V_g T_c T_a) (tptp.c_Hilbert__Choice_Oinv__into _let_1 V_f T_a T_b) T_a T_c T_b) V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oimage V_f _let_1 T_a T_b) T_b))) (not (tptp.c_Fun_Oinj__on V_g V_A T_c T_a)) (not (tptp.c_Fun_Oinj__on V_f _let_1 T_a T_b))))) (forall ((V_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_b T_a) V_A T_a T_b) (tptp.c_Set_Oinsert V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted)) (or (tptp.c_Conform_Ohconf V_P V_h T_a) (not (tptp.c_Exceptions_Opreallocated V_h)) (not (tptp.c_Conform_Ooconf V_P V_h (tptp.c_Conform_Osko__Conform__Xhconf__def__1__2 V_P V_h T_a) T_a)))) (forall ((T_b $$unsorted) (T_c $$unsorted) (V_m $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_b))) (= (tptp.c_Map_Omap__comp (tptp.c_COMBK _let_1 (tptp.tc_Option_Ooption T_b) T_c) V_m tptp.v_x T_c T_b tptp.t_a) _let_1))) (forall ((V_m $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__comp V_m (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_c) (tptp.tc_Option_Ooption T_c) tptp.t_a) tptp.v_x T_c T_b tptp.t_a) (tptp.c_Option_Ooption_ONone T_b))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted)) (let ((_let_1 (tptp.hAPP V_m2 V_k))) (or (not (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) (tptp.c_Option_Ooption_ONone T_a))) (= _let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) (tptp.c_Map_Osko__Map__Xmap__comp__None__iff__1__1 V_k V_m1 V_m2 T_c T_b T_a))) (= _let_1 (tptp.c_Option_Ooption_ONone T_b))))) (forall ((T_b $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_b))) (let ((_let_2 (tptp.tc_Option_Ooption T_b))) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd (tptp.c_COMBK _let_1 _let_2 tptp.t_a) V_x _let_1 tptp.t_a _let_2) tptp.v_xa) _let_1)))) (forall ((V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_z $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_z))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__of V_xs T_b T_a) V_k) _let_1)) (= (tptp.hAPP (tptp.c_Map_Omap__of (tptp.c_List_Ofilter (tptp.hAPP (tptp.c_split T_b T_a tptp.tc_bool) V_P) V_xs (tptp.tc_prod T_b T_a)) T_b T_a) V_k) _let_1) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_k) V_z)))))) (forall ((V_P $$unsorted) (V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAss (tptp.c_Expr_Oexp_OVal V_v _let_1) V_F V_D _let_2 _let_1) V_s _let_2 V_s)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (= V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) (tptp.v_sko__Option__Xoption__Xsplit__1 V_P V_f2 V_x))) (= V_x (tptp.c_Option_Ooption_ONone tptp.t_b)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted)) (or (= (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x T_b T_a) (tptp.c_Option_Ooption_Ooption__case V_g1 V_g2 V_x T_b T_a)) (= V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1 V_x V_f2 V_g2 T_a T_b))) (= V_x (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 V_x tptp.t_a tptp.t_b))) (= V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) (tptp.v_sko__Option__Xoption__Xsplit__asm__1 V_P V_f2 V_x))) (= V_x (tptp.c_Option_Ooption_ONone tptp.t_b)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Ozip (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b) (tptp.c_List_Olist_OCons (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_x) V_y) (tptp.c_List_Ozip V_xs V_ys T_a T_b) (tptp.tc_prod T_a T_b)))) (forall ((T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_d $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_split T_b T_c T_a) (tptp.c_Fun_Ocomp V_f V_g T_d (tptp.tc_fun T_c T_a) T_b)) V_x) (tptp.hAPP (tptp.hAPP V_f (tptp.hAPP V_g (tptp.c_fst V_x T_b T_c))) (tptp.c_snd V_x T_b T_c)))) (forall ((V_h $$unsorted) (V_v $$unsorted) (V_T $$unsorted) (V_P $$unsorted) (V_E $$unsorted)) (or (not (= (tptp.c_Objects_Otypeof__h V_h V_v) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Type_Oty) V_T))) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted) (V_l $$unsorted) (V_P $$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_prod _let_2 _let_2))) (let ((_let_5 (tptp.tc_fun _let_4 _let_1))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (let ((_let_7 (tptp.tc_Option_Ooption _let_6))) (let ((_let_8 (tptp.tc_fun tptp.tc_nat _let_7))) (let ((_let_9 (tptp.tc_prod _let_8 _let_3))) (let ((_let_10 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_11 (tptp.tc_prod _let_10 _let_9))) (let ((_let_12 (tptp.hAPP (tptp.c_Pair _let_2 _let_5) V_C))) (let ((_let_13 (tptp.c_Option_Ooption_OSome _let_6))) (let ((_let_14 (tptp.c_Pair _let_8 _let_3))) (let ((_let_15 (tptp.c_Pair _let_10 _let_9))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_13 (tptp.hAPP _let_12 V_fs)))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_11 _let_11) (tptp.hAPP (tptp.hAPP _let_15 (tptp.c_Expr_Oexp_OFAss (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2) V_F V_D (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2)) (tptp.hAPP (tptp.hAPP _let_14 V_h) V_l))) (tptp.hAPP (tptp.hAPP _let_15 (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2)) (tptp.hAPP (tptp.hAPP _let_14 (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_13 (tptp.hAPP _let_12 (tptp.c_Fun_Ofun__upd V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_4 _let_1))) tptp.tc_nat _let_7)) V_l))) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_11 _let_11)))))))))))))))))))) (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_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a (tptp.tc_Option_Ooption T_b)) T_a T_b) (tptp.c_Set_Oinsert V_x (tptp.c_Map_Odom V_f T_a T_b) T_a)) (= V_y (tptp.c_Option_Ooption_ONone T_b)))) (forall ((T_c $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_h $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_c)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= (tptp.c_Finite__Set_Osetprod V_h (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b T_c) (tptp.c_Finite__Set_Osetprod (tptp.c_Fun_Ocomp V_h V_f T_b T_c T_a) V_A T_a T_c)))) (forall ((T_c $$unsorted) (V_h $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_c)) (= (tptp.c_Finite__Set_Osetprod V_h (tptp.c_Set_Oimage V_f V_B T_a T_b) T_b T_c) (tptp.c_Finite__Set_Osetprod (tptp.c_Fun_Ocomp V_h V_f T_b T_c T_a) V_B T_a T_c)) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))) (forall ((T_c $$unsorted) (V_h $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_c)) (= (tptp.c_Finite__Set_Osetsum V_h (tptp.c_Set_Oimage V_f V_B T_a T_b) T_b T_c) (tptp.c_Finite__Set_Osetsum (tptp.c_Fun_Ocomp V_h V_f T_b T_c T_a) V_B T_a T_c)) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))) (forall ((V_m $$unsorted) (V_D $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Map_Orestrict__map V_m V_D T_a T_b))) (or (= (tptp.c_Fun_Ofun__upd _let_1 V_x (tptp.c_Option_Ooption_ONone T_b) T_a (tptp.tc_Option_Ooption T_b)) _let_1) (tptp.hBOOL (tptp.c_in V_x V_D T_a))))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_a $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_Othrow V_e _let_1) V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_Othrow _let_2 _let_1) V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_a T_b) V_A T_b T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))) (forall ((V_g $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b) (not (tptp.c_Fun_Oinj__on V_g V_A T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 V_A V_f V_g T_a T_b) V_A T_a)))) (forall ((V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted)) (or (tptp.c_Fun_Oinj__on V_g V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 V_A V_f V_g T_a T_b) V_A T_a)))) (forall ((V_g $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b) (not (tptp.c_Fun_Oinj__on V_g V_A T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 V_A V_f V_g T_a T_b) V_A T_a)))) (forall ((V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted)) (or (tptp.c_Fun_Oinj__on V_g V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_a) T_a T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 V_A V_f V_g T_a T_b) V_A T_a)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (= (tptp.hAPP V_f (tptp.hAPP (tptp.c_Fun_Othe__inv__into V_A V_f T_a T_b) V_y)) V_y) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))) (= (tptp.c_Option_Ois__none tptp.v_x tptp.t_a) (tptp.c_fequal tptp.v_x (tptp.c_Option_Ooption_ONone tptp.t_a) (tptp.tc_Option_Ooption tptp.t_a))) (forall ((V_m $$unsorted) (V_m_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.c_Map_Odom V_m_H T_a T_b))) (or (tptp.c_Fun_Oinj__on (tptp.c_Map_Omap__add V_m V_m_H T_a T_b) _let_2 T_a _let_1) (not (tptp.c_Fun_Oinj__on V_m_H _let_2 T_a _let_1)))))) (forall ((V_m_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.c_Map_Odom V_m_H T_a T_b))) (or (tptp.c_Fun_Oinj__on V_m_H _let_2 T_a _let_1) (not (tptp.c_Fun_Oinj__on (tptp.c_Map_Omap__add V_m V_m_H T_a T_b) _let_2 T_a _let_1)))))) (forall ((V_P $$unsorted) (V_V $$unsorted) (V_v $$unsorted) (V_h $$unsorted) (V_l $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.hAPP (tptp.c_Pair (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)) V_h))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2) (tptp.hAPP _let_3 V_l) (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2) (tptp.hAPP _let_3 (tptp.c_Fun_Ofun__upd V_l V_V (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_2 _let_1))))))) (forall ((T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_b) _let_1 T_a) V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_xa) T_a _let_1) T_a T_b) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_v $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_V $$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.hAPP (tptp.c_Pair (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)) V_h))) (or (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v _let_2) (tptp.hAPP _let_3 V_l))) (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2) (tptp.hAPP _let_3 (tptp.c_Fun_Ofun__upd V_l V_V (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_2 _let_1)))))))) (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Product__Type_Oapsnd T_a T_b T_c) (tptp.c_Product__Type_Oprod__fun (tptp.c_Fun_Oid T_c) T_c T_c T_a T_b))) (forall ((T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_f $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_b T_c T_a) V_f) (tptp.hAPP (tptp.c_Product__Type_Oprod__fun (tptp.c_Fun_Oid T_a) T_a T_a T_b T_c) V_f))) (forall ((V_C $$unsorted) (V_fs $$unsorted) (V_h_092_060_094isub_0622 $$unsorted) (V_a $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v $$unsorted) (V_l_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_F $$unsorted) (V_D $$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_prod _let_2 _let_2))) (let ((_let_5 (tptp.tc_fun _let_4 _let_1))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (let ((_let_7 (tptp.tc_Option_Ooption _let_6))) (let ((_let_8 (tptp.tc_fun tptp.tc_nat _let_7))) (let ((_let_9 (tptp.tc_prod _let_8 _let_3))) (let ((_let_10 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_11 (tptp.tc_prod _let_10 _let_9))) (let ((_let_12 (tptp.tc_prod _let_11 _let_11))) (let ((_let_13 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_11))) (let ((_let_14 (tptp.hAPP (tptp.c_Pair _let_2 _let_5) V_C))) (let ((_let_15 (tptp.c_Option_Ooption_OSome _let_6))) (let ((_let_16 (tptp.c_Pair _let_8 _let_3))) (let ((_let_17 (tptp.c_Pair _let_10 _let_9))) (let ((_let_18 (tptp.c_Pair _let_11 _let_11))) (or (not (= (tptp.hAPP _let_15 (tptp.hAPP _let_14 V_fs)) (tptp.hAPP V_h_092_060_094isub_0622 V_a))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_18 (tptp.hAPP (tptp.hAPP _let_17 V_e_092_060_094isub_0622) V_s_092_060_094isub_0621)) (tptp.hAPP (tptp.hAPP _let_17 (tptp.c_Expr_Oexp_OVal V_v _let_2)) (tptp.hAPP (tptp.hAPP _let_16 V_h_092_060_094isub_0622) V_l_092_060_094isub_0622))) _let_13 _let_12))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_18 (tptp.hAPP (tptp.hAPP _let_17 V_e_092_060_094isub_0621) V_s_092_060_094isub_0620)) (tptp.hAPP (tptp.hAPP _let_17 (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2)) V_s_092_060_094isub_0621)) _let_13 _let_12))) (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.hAPP _let_18 (tptp.hAPP (tptp.hAPP _let_17 (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)) (tptp.hAPP (tptp.hAPP _let_17 (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2)) (tptp.hAPP (tptp.hAPP _let_16 (tptp.c_Fun_Ofun__upd V_h_092_060_094isub_0622 V_a (tptp.hAPP _let_15 (tptp.hAPP _let_14 (tptp.c_Fun_Ofun__upd V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_4 _let_1))) tptp.tc_nat _let_7)) V_l_092_060_094isub_0622))) _let_13 _let_12)))))))))))))))))))))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Oapfst V_f T_a T_c T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod__fun V_f T_a T_c T_b T_b) (tptp.c_Fun_Oid T_b)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.hBOOL (tptp.c_in V_y V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (= V_x V_y) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Ooption_Ooption__rec V_f1 V_f2 (tptp.c_Option_Ooption_ONone T_b) T_a T_b) V_f1)) (forall ((T_b $$unsorted) (T_a $$unsorted) (V_m $$unsorted)) (= (tptp.c_Map_Omap__add (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_b) (tptp.tc_Option_Ooption T_b) T_a) V_m T_a T_b) V_m)) (forall ((V_m $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Map_Omap__add V_m (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_b) (tptp.tc_Option_Ooption T_b) T_a) T_a T_b) V_m)) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.c_Option_Ooption_ONone tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P V_f1)))) (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_Q $$unsorted)) (= (tptp.hAPP (tptp.c_COMBK V_P T_a T_b) V_Q) V_P)) (forall ((T_a $$unsorted) (V_P $$unsorted)) (= (tptp.hAPP (tptp.c_COMBI T_a) V_P) V_P)) (forall ((T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_d $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_c T_b T_a) V_f) (tptp.hAPP (tptp.c_Product__Type_Oapfst V_g T_d T_a T_c) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) (tptp.hAPP V_g (tptp.c_fst V_x T_d T_c))) (tptp.hAPP V_f (tptp.c_snd V_x T_d T_c))))) (forall ((T_a $$unsorted) (T_b $$unsorted) (V_p $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) (tptp.c_fst V_p T_a T_b)) (tptp.c_snd V_p T_a T_b)) V_p)) (forall ((V_t $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= V_t (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) (tptp.c_fst V_t T_a T_b)) (tptp.c_snd V_t T_a T_b)))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (= (tptp.c_snd (tptp.hAPP (tptp.c_Product__Type_Oapfst V_f T_c T_b T_a) V_x) T_b T_a) (tptp.c_snd V_x T_c T_a))) (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.hBOOL (tptp.c_in V_x V_S T_a))))) (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_S T_a)) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a))) (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oswap V_a V_b V_f T_a T_b) (tptp.c_Fun_Oswap V_b V_a V_f T_a T_b))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oswap V_a V_b (tptp.c_Fun_Oswap V_a V_b V_f T_a T_b) T_a T_b) V_f)) (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Product__Type_Oprod_Oprod__case T_a T_b T_c) (tptp.c_split T_a T_b T_c))) (forall ((V_g $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_g (tptp.c_Set_Oimage V_f V_A T_a T_c) T_c T_b) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp V_g V_f T_c T_b T_a) V_A T_a T_b)))) (forall ((V_f $$unsorted) (V_as $$unsorted) (V_bs $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_g $$unsorted)) (or (tptp.c_Map_Omap__le (tptp.c_Map_Omap__upds V_f V_as V_bs T_a T_b) (tptp.c_Map_Omap__upds V_g V_as V_bs T_a T_b) T_a T_b) (not (tptp.c_Map_Omap__le V_f V_g T_a T_b)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Set_Oinsert V_a V_A T_a) T_a T_b)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_s (tptp.c_Expr_Oexp_OFAcc V_e_H V_F V_D _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((V_P $$unsorted) (V_e $$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)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_1) V_s (tptp.c_Expr_Oexp_OFAss V_e_H V_F V_D V_e_092_060_094isub_0622 _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H))))) (forall ((T_a $$unsorted) (V_Y $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_COMBI T_a) V_Y T_a T_a) V_Y)) (forall ((V_p $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_q $$unsorted)) (or (not (= (tptp.c_snd V_p T_a T_b) (tptp.c_snd V_q T_a T_b))) (not (= (tptp.c_fst V_p T_a T_b) (tptp.c_fst V_q T_a T_b))) (= V_p V_q))) (forall ((V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_t $$unsorted)) (or (not (= (tptp.c_snd V_s T_a T_b) (tptp.c_snd V_t T_a T_b))) (not (= (tptp.c_fst V_s T_a T_b) (tptp.c_fst V_t T_a T_b))) (= V_s V_t))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ooverride__on V_f V_g V_A T_a T_b) V_a) (tptp.hAPP V_f V_a)) (tptp.hBOOL (tptp.c_in V_a V_A T_a)))) (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Product__Type_Ointernal__split T_a T_b T_c) (tptp.c_split T_a T_b T_c))) (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.c_COMBI T_a) V_A T_a T_a)) (forall ((V_g $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted)) (or (tptp.c_Map_Omap__le V_g V_h T_a T_b) (not (tptp.c_Map_Omap__le (tptp.c_Map_Omap__add V_f V_g T_a T_b) V_h T_a T_b)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Set_Oinsert V_x V_A T_a))) (= (tptp.c_Set_Oinsert V_x _let_1 T_a) _let_1))) (forall ((V_a $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oswap V_a V_a V_f T_a T_b) V_f)) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Map_Omap__le V_f V_f T_a T_b)) (forall ((V_m1 $$unsorted) (V_m3 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m2 $$unsorted)) (or (tptp.c_Map_Omap__le V_m1 V_m3 T_a T_b) (not (tptp.c_Map_Omap__le V_m2 V_m3 T_a T_b)) (not (tptp.c_Map_Omap__le V_m1 V_m2 T_a T_b)))) (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))) _let_23 (forall ((T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted)) (let ((_let_1 (tptp.c_snd V_x T_a T_c))) (let ((_let_2 (tptp.c_Product__Type_Oapsnd T_c T_b T_a))) (or (not (= (tptp.hAPP (tptp.hAPP _let_2 V_f) V_x) (tptp.hAPP (tptp.hAPP _let_2 V_g) V_x))) (= (tptp.hAPP V_f _let_1) (tptp.hAPP V_g _let_1)))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_g $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Product__Type_Oapsnd T_c T_b T_a))) (let ((_let_2 (tptp.c_snd V_x T_a T_c))) (or (not (= (tptp.hAPP V_f _let_2) (tptp.hAPP V_g _let_2))) (= (tptp.hAPP (tptp.hAPP _let_1 V_f) V_x) (tptp.hAPP (tptp.hAPP _let_1 V_g) V_x)))))) (forall ((V_exp $$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_h $$unsorted) (V_h_H $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.c_Pair (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (or (tptp.c_Objects_Ohext V_h V_h_H) (not (tptp.c_BigStep_Oeval V_P V_e (tptp.hAPP (tptp.hAPP _let_3 V_h) V_l) V_e_H (tptp.hAPP (tptp.hAPP _let_3 V_h_H) V_l_H)))))))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp V_f V_g T_b T_a T_c) V_x) (tptp.hAPP V_f (tptp.hAPP V_g V_x)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP V_a (tptp.hAPP V_b V_v)) (tptp.hAPP (tptp.c_Fun_Ocomp V_a V_b T_c T_b T_a) V_v))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ooverride__on V_f V_g V_A T_a T_b) V_a) (tptp.hAPP V_g V_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (forall ((T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (= (tptp.c_fst (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_c T_b T_a) V_f) V_x) T_a T_b) (tptp.c_fst V_x T_a T_c))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_m3 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__add V_m1 (tptp.c_Map_Omap__add V_m2 V_m3 T_a T_b) T_a T_b) (tptp.c_Map_Omap__add (tptp.c_Map_Omap__add V_m1 V_m2 T_a T_b) V_m3 T_a T_b))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__add V_m1 (tptp.c_Map_Omap__upds V_m2 V_xs V_ys T_a T_b) T_a T_b) (tptp.c_Map_Omap__upds (tptp.c_Map_Omap__add V_m1 V_m2 T_a T_b) V_xs V_ys T_a T_b))) (forall ((T_b $$unsorted) (T_a $$unsorted) (V_l $$unsorted) (V_v $$unsorted) (V_ps $$unsorted) (V_k $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__of (tptp.c_List_Olist_OCons (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_a) V_l) V_v) V_ps (tptp.tc_prod T_b T_a)) T_b T_a) V_k) (tptp.hAPP (tptp.c_Map_Omap__of V_ps T_b T_a) V_k)) (= V_l V_k))) (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_opt $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Option_Omap V_f T_b T_a) V_opt) (tptp.c_Option_Ooption_ONone T_a))) (= V_opt (tptp.c_Option_Ooption_ONone T_b)))) (forall ((V_e_H $$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 ((T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_p $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_a) V_f) V_p) (tptp.hAPP (tptp.hAPP V_f (tptp.c_fst V_p T_b T_c)) (tptp.c_snd V_p T_b T_c)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Map_Omap__add V_f V_g T_a T_b))) (or (= _let_1 (tptp.c_Map_Omap__add V_g V_f T_a T_b)) (not (tptp.c_Map_Omap__le V_f _let_1 T_a T_b))))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Map_Omap__add V_f V_g T_a T_b))) (or (not (= _let_1 (tptp.c_Map_Omap__add V_g V_f T_a T_b))) (tptp.c_Map_Omap__le V_f _let_1 T_a T_b)))) (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Value_Oval_OAddr V_nat_H) tptp.c_Value_Oval_OUnit))) (forall ((V_h $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.c_Exceptions_Opreallocated V_h) (not (tptp.c_Conform_Ohconf V_P V_h T_a)))) (forall ((V_P $$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_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (V_opt $$unsorted)) (= (tptp.hAPP (tptp.c_Option_Omap V_f T_b T_a) (tptp.hAPP (tptp.c_Option_Omap V_g T_c T_b) V_opt)) (tptp.hAPP (tptp.c_Option_Omap (tptp.c_Fun_Ocomp V_f V_g T_b T_a T_c) T_c T_a) V_opt))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a V_A T_a)) (= V_a V_b) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_Map_Omap__le (tptp.c_Fun_Ofun__upd V_f V_x (tptp.c_Option_Ooption_ONone T_b) T_a (tptp.tc_Option_Ooption T_b)) V_f T_a T_b)) (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_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= V_f V_g) (not (tptp.c_Map_Omap__le V_g V_f T_a T_b)) (not (tptp.c_Map_Omap__le V_f V_g T_a T_b)))) (forall ((T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_split T_b T_c T_a) V_P) V_z) (tptp.hAPP (tptp.hAPP V_P (tptp.c_fst V_z T_b T_c)) (tptp.c_snd V_z T_b T_c)))) (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Value_Oval_OAddr V_nat) (tptp.c_Value_Oval_OAddr V_nat_H))) (= V_nat V_nat_H))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (= (tptp.c_fst (tptp.hAPP (tptp.c_Product__Type_Oapfst V_f T_c T_a T_b) V_x) T_a T_b) (tptp.hAPP V_f (tptp.c_fst V_x T_c T_b)))) (forall ((T_a $$unsorted)) (tptp.hBOOL (tptp.c_Option_Ois__none (tptp.c_Option_Ooption_ONone T_a) T_a))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.c_Option_Ooption_ONone T_b) T_a T_b) V_f1)) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_obj $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) V_obj))) (not (tptp.c_Conform_Ohconf V_P V_h T_a)) (tptp.c_Conform_Ooconf V_P V_h V_obj T_a)))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_g $$unsorted)) (let ((_let_1 (tptp.c_fst V_x T_c T_b))) (or (not (= (tptp.hAPP (tptp.c_Product__Type_Oapfst V_f T_c T_a T_b) V_x) (tptp.hAPP (tptp.c_Product__Type_Oapfst V_g T_c T_a T_b) V_x))) (= (tptp.hAPP V_f _let_1) (tptp.hAPP V_g _let_1))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_fst V_x T_c T_b))) (or (not (= (tptp.hAPP V_f _let_1) (tptp.hAPP V_g _let_1))) (= (tptp.hAPP (tptp.c_Product__Type_Oapfst V_f T_c T_a T_b) V_x) (tptp.hAPP (tptp.c_Product__Type_Oapfst V_g T_c T_a T_b) V_x))))) (forall ((T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted)) (tptp.c_Map_Omap__le (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_b) (tptp.tc_Option_Ooption T_b) T_a) V_g T_a T_b)) (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a) (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (let ((_let_2 (tptp.hAPP V_n V_k))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)) (= _let_2 (tptp.c_Option_Ooption_ONone T_a)) (= _let_2 _let_1))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_A T_a T_b) (tptp.hBOOL (tptp.c_in V_y (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_A T_b T_a) (tptp.c_Set_Oimage V_f V_A T_b T_a)) (tptp.hBOOL (tptp.c_in V_x V_A T_b)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_h $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ocomp V_f (tptp.c_Fun_Ocomp V_g V_h T_d T_c T_a) T_c T_b T_a) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp V_f V_g T_c T_b T_d) V_h T_d T_b T_a))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))) (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_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp V_f V_g T_c T_a T_b) V_r T_b T_a) (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g V_r T_b T_c) T_c T_a))) (forall ((V_m1 $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.hAPP V_m1 V_x) _let_1)) (not (= (tptp.hAPP V_m2 V_k) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_x))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) _let_1)))) (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_B T_a))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (forall ((V_P $$unsorted) (V_v $$unsorted) (V_F $$unsorted) (V_D $$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.c_Expr_Oexp_OVal V_v _let_1))) (or (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAss _let_2 V_F V_D V_e _let_1) V_s (tptp.c_Expr_Oexp_OFAss _let_2 V_F V_D V_e_H _let_1) V_s_H) (not (tptp.c_SmallStep_Oredp V_P V_e V_s V_e_H V_s_H)))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (T_d $$unsorted) (V_v $$unsorted)) (or (not (= (tptp.c_Fun_Ocomp V_a V_b T_c T_b T_a) (tptp.c_Fun_Ocomp V_c V_d T_d T_b T_a))) (= (tptp.hAPP V_a (tptp.hAPP V_b V_v)) (tptp.hAPP V_c (tptp.hAPP V_d V_v))))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_x $$unsorted) (V_f_H $$unsorted) (V_g_H $$unsorted) (V_x_H $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_e $$unsorted)) (or (not (= (tptp.hAPP V_f (tptp.hAPP V_g V_x)) (tptp.hAPP V_f_H (tptp.hAPP V_g_H V_x_H)))) (= (tptp.hAPP (tptp.c_Fun_Ocomp V_f V_g T_b T_a T_c) V_x) (tptp.hAPP (tptp.c_Fun_Ocomp V_f_H V_g_H T_d T_a T_e) V_x_H)))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_g $$unsorted) (T_d $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapfst V_f T_c T_a T_b) (tptp.hAPP (tptp.c_Product__Type_Oapfst V_g T_d T_c T_b) V_x)) (tptp.hAPP (tptp.c_Product__Type_Oapfst (tptp.c_Fun_Ocomp V_f V_g T_c T_a T_d) T_d T_a T_b) V_x))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_a) V_x) V_y))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P (tptp.c_snd _let_1 T_b T_a)) (tptp.c_fst _let_1 T_b T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_y) V_x)))))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a))) (= V_val V_val_H))) (forall ((V_fs $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (or (not (= (tptp.hAPP V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_1 _let_1) V_F) V_D)) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (not (= (tptp.c_State_Ohp V_s V_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome (tptp.tc_prod _let_1 _let_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C) V_fs)))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAcc (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_1) V_F V_D _let_1) V_s (tptp.c_Expr_Oexp_OVal V_v _let_1) V_s))))) (forall ((V_fs $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted) (V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_l $$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 (tptp.tc_prod _let_2 _let_2) _let_1))) (let ((_let_4 (tptp.tc_prod _let_2 _let_3))) (let ((_let_5 (tptp.hAPP (tptp.hAPP (tptp.c_Pair (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption _let_4)) (tptp.tc_fun _let_2 _let_1)) V_h) V_l))) (or (not (= (tptp.hAPP V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D)) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v))) (not (= (tptp.hAPP V_h V_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_4) (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_3) V_C) V_fs)))) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2) _let_5)) (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2) V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_5)))))))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod__fun V_f T_c T_a T_d T_b) V_g) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_c T_d) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) (tptp.hAPP V_f V_a)) (tptp.hAPP V_g V_b)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.t_b tptp.t_c tptp.t_a) V_f1) (tptp.hAPP (tptp.hAPP (tptp.c_Pair tptp.t_b tptp.t_c) V_xa) V_xb))))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP V_f1 V_xa) V_xb))))) (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f1 $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_a T_b tptp.tc_bool) V_f1) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_f1 V_a) V_b))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.t_b tptp.t_c tptp.t_a) V_f1) (tptp.hAPP (tptp.hAPP (tptp.c_Pair tptp.t_b tptp.t_c) V_a) V_b))))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP V_f1 V_a) V_b))))) (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__All__1__1 V_P T_a T_b)))))) (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_xa $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__Ex__1__3 V_P T_a T_b))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_x) V_xa)))))) (forall ((T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split T_b T_c T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_c) V_a) V_b)) (tptp.hAPP (tptp.hAPP V_c V_a) V_b))) (forall ((V_x $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_Oscomp V_x (tptp.c_Pair T_b T_c) T_a T_b T_c (tptp.tc_prod T_b T_c)) V_x)) (forall ((T_c $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Oscomp (tptp.hAPP (tptp.c_Pair T_c T_a) V_x) V_f T_a T_c T_a T_b) (tptp.hAPP V_f V_x))) (forall ((V_f $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_curry V_f T_b T_c T_a) V_a) V_b) (tptp.hAPP V_f (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_c) V_a) V_b)))) (forall ((T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_a) V_f1) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_c) V_a) V_b)) (tptp.hAPP (tptp.hAPP V_f1 V_a) V_b))) (forall ((V_R $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R V_a) V_b) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_split T_a T_b (tptp.tc_fun T_c tptp.tc_bool)) V_R) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b)) V_c))))) (forall ((T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split T_a T_b tptp.tc_bool) V_f) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_f V_a) V_b))))) (forall ((V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_f V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split T_a T_b tptp.tc_bool) V_f) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b)))))) (forall ((T_a $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_split T_a T_b T_c) V_f) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b)) (tptp.hAPP (tptp.hAPP V_f V_a) V_b))) (forall ((T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_split T_b T_c T_a) V_f) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_c) V_a) V_b)) (tptp.hAPP (tptp.hAPP V_f V_a) V_b))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_curry V_f T_a T_b tptp.tc_bool) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP V_f (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b)))))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_f (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_curry V_f T_a T_b tptp.tc_bool) V_a) V_b))))) (forall ((V_f1 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_Oprod_Oprod__rec V_f1 (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_c) V_a) V_b) T_b T_c T_a) (tptp.hAPP (tptp.hAPP V_f1 V_a) V_b))) (forall ((T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_fst (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_a) V_b) T_a T_b) V_a)) (forall ((V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (= V_x (tptp.c_fst (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_x) V_y) T_a T_b))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapfst V_f T_c T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_c T_b) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) (tptp.hAPP V_f V_x)) V_y))) (forall ((T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_c T_b T_a) V_f) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_c) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_x) (tptp.hAPP V_f V_y)))) (forall ((T_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_snd (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_a) V_a) V_b) T_b T_a) V_b)) (forall ((V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (= V_y (tptp.c_snd (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_b T_a) V_x) V_y) T_b T_a))) (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_Q $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_fst (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_p) V_q) T_a T_b))) (not (tptp.hBOOL (tptp.hAPP V_Q V_q))) (not (tptp.hBOOL (tptp.hAPP V_P V_p))))) (forall ((V_Q $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_p $$unsorted) (V_q $$unsorted) (V_P $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q (tptp.c_snd (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_b) V_p) V_q) T_a T_b))) (not (tptp.hBOOL (tptp.hAPP V_Q V_q))) (not (tptp.hBOOL (tptp.hAPP V_P V_p))))) (forall ((T_a $$unsorted) (T_aa $$unsorted) (V_x $$unsorted) (V_v $$unsorted) (V_ps $$unsorted)) (= (tptp.hAPP (tptp.c_Map_Omap__of (tptp.c_List_Olist_OCons (tptp.hAPP (tptp.hAPP (tptp.c_Pair T_a T_aa) V_x) V_v) V_ps (tptp.tc_prod T_a T_aa)) T_a T_aa) V_x) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_aa) V_v))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.c_Option_Othe (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x) T_a) V_x)) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Ooption_Ooption__rec V_f1 V_f2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_a) T_a T_b) (tptp.hAPP V_f2 V_a))) (forall ((V_m1 $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_v $$unsorted) (V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_v))) (or (not (= (tptp.hAPP V_m1 V_x) _let_1)) (not (= (tptp.hAPP V_m2 V_k) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_x))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) _let_1)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) V_xa) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 V_xa))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) V_a) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 V_a))))) (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.c_Option_Ooption_OSome T_a) V_A T_a (tptp.tc_Option_Ooption T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.c_Option_Ois__none (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x) T_a)))) (forall ((T_a $$unsorted) (V_xa $$unsorted)) (not (= (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_xa) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_a_H) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_a) T_a T_b) (tptp.hAPP V_f2 V_a))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_y)))) (forall ((T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_a_H)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (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_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Option_Omap V_f T_b T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_x)) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) (tptp.hAPP V_f V_x)))) (forall ((V_m2 $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_k_H $$unsorted) (V_m1 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m2 V_k) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_k_H))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_a T_c T_b) (tptp.hAPP V_m1 V_k_H)))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Option__Xospec__1__1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x) V_P T_a)))) (tptp.hBOOL (tptp.hAPP V_P V_x)))) (forall ((V_n $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_xx $$unsorted) (V_m $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_xx))) (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) (T_a $$unsorted) (V_x $$unsorted) (V_m $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (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_f $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ooverride__on V_f (tptp.c_Fun_Ofun__upd V_g V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_b) T_a _let_1) V_A T_a _let_1) V_a (tptp.hAPP V_g V_a) T_a _let_1) (tptp.c_Fun_Ooverride__on V_f V_g (tptp.c_Set_Oinsert V_a V_A T_a) T_a _let_1)))) (forall ((V_m1 $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_m2 $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (or (tptp.c_Map_Omap__le (tptp.c_Fun_Ofun__upd V_m1 V_x (tptp.c_Option_Ooption_ONone T_b) T_a _let_1) (tptp.c_Fun_Ofun__upd V_m2 V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_y) T_a _let_1) T_a T_b) (not (tptp.c_Map_Omap__le V_m1 V_m2 T_a T_b))))) (forall ((V_t $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (not (= (tptp.c_Fun_Ofun__upd V_t V_k (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_x) T_a _let_1) (tptp.c_COMBK (tptp.c_Option_Ooption_ONone T_b) _let_1 T_a))))) (forall ((V_f $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_m $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.tc_Option_Ooption T_c))) (let ((_let_3 (tptp.c_Option_Omap V_f T_c T_b))) (= (tptp.c_Fun_Ocomp _let_3 (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome T_c) V_b) T_a _let_2) _let_2 _let_1 T_a) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ocomp _let_3 V_m _let_2 _let_1 T_a) V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) (tptp.hAPP V_f V_b)) T_a _let_1)))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (V_as $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_bs $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__upds V_m (tptp.c_List_Olist_OCons V_a V_as T_a) (tptp.c_List_Olist_OCons V_b V_bs T_b) T_a T_b) (tptp.c_Map_Omap__upds (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_b) T_a (tptp.tc_Option_Ooption T_b)) V_as V_bs T_a T_b))) (forall ((V_m $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (or (= (tptp.c_Set_Oimage (tptp.c_Fun_Ofun__upd V_m V_x (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_y) T_a _let_1) V_A T_a _let_1) (tptp.c_Set_Oimage V_m V_A T_a _let_1)) (tptp.hBOOL (tptp.c_in V_x V_A T_a))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oswap V_a V_b V_f T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_f V_a (tptp.hAPP V_f V_b) T_a T_b) V_b (tptp.hAPP V_f V_a) T_a T_b))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ocomp V_f (tptp.c_Fun_Ofun__upd V_g V_x V_y T_a T_c) T_c T_b T_a) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ocomp V_f V_g T_c T_b T_a) V_x (tptp.hAPP V_f V_y) T_a T_b))) (forall ((V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_g $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (or (tptp.c_Map_Omap__le (tptp.c_Fun_Ofun__upd V_f V_a V_b T_a _let_1) (tptp.c_Fun_Ofun__upd V_g V_a V_b T_a _let_1) T_a T_b) (not (tptp.c_Map_Omap__le V_f V_g T_a T_b))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_xa $$unsorted) (V_h_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_4 (tptp.c_Option_Ooption_OSome (tptp.tc_prod _let_1 _let_2)))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_4 (tptp.hAPP _let_3 V_xa)))) (not (tptp.c_Objects_Ohext V_h V_h_H)) (= (tptp.hAPP V_h_H V_a) (tptp.hAPP _let_4 (tptp.hAPP _let_3 (tptp.c_Objects_Osko__Objects__Xhext__def__1__1 V_C V_a V_h_H)))))))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_h_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_4 (tptp.c_Option_Ooption_OSome (tptp.tc_prod _let_1 _let_2)))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_4 (tptp.hAPP _let_3 V_fs)))) (not (tptp.c_Objects_Ohext V_h V_h_H)) (= (tptp.hAPP V_h_H V_a) (tptp.hAPP _let_4 (tptp.hAPP _let_3 (tptp.c_Objects_Osko__Objects__Xhext__objD__1__1 V_C V_a V_h_H)))))))))) (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_P $$unsorted) (V_obj $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval))))) (or (not (= (tptp.hAPP V_h V_a) (tptp.c_Option_Ooption_ONone _let_2))) (not (tptp.c_Conform_Ooconf V_P V_h V_obj T_a)) (tptp.c_Conform_Ooconf V_P (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_2) V_x) tptp.tc_nat (tptp.tc_Option_Ooption _let_2)) V_obj T_a))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval))))) (or (not (= (tptp.hAPP V_h V_a) (tptp.c_Option_Ooption_ONone _let_2))) (tptp.c_Objects_Ohext V_h (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_2) V_x) tptp.tc_nat (tptp.tc_Option_Ooption _let_2))))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval))))) (or (not (= (tptp.hAPP V_h V_a) (tptp.c_Option_Ooption_ONone _let_2))) (not (tptp.c_Exceptions_Opreallocated V_h)) (tptp.c_Exceptions_Opreallocated (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_2) V_x) tptp.tc_nat (tptp.tc_Option_Ooption _let_2))))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_P $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted) (V_l $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod _let_2 _let_2))) (let ((_let_4 (tptp.tc_fun _let_3 _let_1))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (let ((_let_6 (tptp.tc_Option_Ooption _let_5))) (let ((_let_7 (tptp.hAPP (tptp.c_Pair _let_2 _let_4) V_C))) (let ((_let_8 (tptp.c_Option_Ooption_OSome _let_5))) (let ((_let_9 (tptp.c_Pair (tptp.tc_fun tptp.tc_nat _let_6) (tptp.tc_fun _let_2 _let_1)))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_8 (tptp.hAPP _let_7 V_fs)))) (tptp.c_SmallStep_Oredp V_P (tptp.c_Expr_Oexp_OFAss (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2) V_F V_D (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2) (tptp.hAPP (tptp.hAPP _let_9 V_h) V_l) (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2) (tptp.hAPP (tptp.hAPP _let_9 (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_8 (tptp.hAPP _let_7 (tptp.c_Fun_Ofun__upd V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_3 _let_1))) tptp.tc_nat _let_6)) V_l))))))))))))) (forall ((V_h_092_060_094isub_0622 $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_P $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v $$unsorted) (V_l_092_060_094isub_0622 $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_F $$unsorted) (V_D $$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 _let_2 _let_2))) (let ((_let_4 (tptp.tc_fun _let_3 _let_1))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (let ((_let_6 (tptp.tc_Option_Ooption _let_5))) (let ((_let_7 (tptp.hAPP (tptp.c_Pair _let_2 _let_4) V_C))) (let ((_let_8 (tptp.c_Option_Ooption_OSome _let_5))) (let ((_let_9 (tptp.c_Pair (tptp.tc_fun tptp.tc_nat _let_6) (tptp.tc_fun _let_2 _let_1)))) (or (not (= (tptp.hAPP V_h_092_060_094isub_0622 V_a) (tptp.hAPP _let_8 (tptp.hAPP _let_7 V_fs)))) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 (tptp.c_Expr_Oexp_OVal V_v _let_2) (tptp.hAPP (tptp.hAPP _let_9 V_h_092_060_094isub_0622) V_l_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 (tptp.c_Value_Oval_OAddr V_a) _let_2) V_s_092_060_094isub_0621)) (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_2) V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2) (tptp.hAPP (tptp.hAPP _let_9 (tptp.c_Fun_Ofun__upd V_h_092_060_094isub_0622 V_a (tptp.hAPP _let_8 (tptp.hAPP _let_7 (tptp.c_Fun_Ofun__upd V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_3 _let_1))) tptp.tc_nat _let_6)) V_l_092_060_094isub_0622))))))))))))) _let_22 _let_21 _let_20 (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_P $$unsorted) (V_h $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted) (T_a $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod _let_2 _let_2))) (let ((_let_4 (tptp.hAPP (tptp.c_Pair _let_2 (tptp.tc_fun _let_3 _let_1)) V_C))) (or (tptp.c_Conform_Ooconf V_P V_h (tptp.hAPP _let_4 (tptp.c_Fun_Ofun__upd V_fs (tptp.hAPP (tptp.hAPP (tptp.c_Pair _let_2 _let_2) V_F) V_D) (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.tc_Value_Oval) V_v) _let_3 _let_1)) T_a) (not (tptp.c_Conform_Ooconf V_P V_h (tptp.hAPP _let_4 V_fs) T_a)) (not (tptp.c_Conform_Oconf V_P V_h V_v V_T T_a)) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D T_a)))))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_P $$unsorted) (T_a $$unsorted) (V_fs_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_4 (tptp.hAPP _let_3 V_fs_H))) (let ((_let_5 (tptp.tc_prod _let_1 _let_2))) (let ((_let_6 (tptp.c_Option_Ooption_OSome _let_5))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_6 (tptp.hAPP _let_3 V_fs)))) (not (tptp.c_Conform_Ohconf V_P V_h T_a)) (tptp.c_Conform_Ohconf V_P (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_6 _let_4) tptp.tc_nat (tptp.tc_Option_Ooption _let_5)) T_a) (not (tptp.c_Conform_Ooconf V_P V_h _let_4 T_a)))))))))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_y))) (= (tptp.c_Map_Omap__add V_f (tptp.c_Fun_Ofun__upd V_g V_x _let_2 T_a _let_1) T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__add V_f V_g T_a T_b) V_x _let_2 T_a _let_1))))) _let_17 (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_P $$unsorted) (V_obj $$unsorted) (T_a $$unsorted) (V_fs_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.tc_prod _let_1 _let_2))) (let ((_let_4 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_5 (tptp.c_Option_Ooption_OSome _let_3))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs)))) (not (tptp.c_Conform_Ooconf V_P V_h V_obj T_a)) (tptp.c_Conform_Ooconf V_P (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs_H)) tptp.tc_nat (tptp.tc_Option_Ooption _let_3)) V_obj T_a)))))))) _let_19 (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_P $$unsorted) (V_fs_H $$unsorted) (V_x $$unsorted) (V_T $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.tc_prod _let_1 _let_2))) (let ((_let_4 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_5 (tptp.c_Option_Ooption_OSome _let_3))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs)))) (tptp.c_Conform_Oconf V_P (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs_H)) tptp.tc_nat (tptp.tc_Option_Ooption _let_3)) V_x V_T T_a) (not (tptp.c_Conform_Oconf V_P V_h V_x V_T T_a))))))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_P $$unsorted) (V_x $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_fs_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.tc_prod _let_1 _let_2))) (let ((_let_4 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_5 (tptp.c_Option_Ooption_OSome _let_3))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs)))) (tptp.c_Conform_Oconf V_P V_h V_x V_T T_a) (not (tptp.c_Conform_Oconf V_P (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs_H)) tptp.tc_nat (tptp.tc_Option_Ooption _let_3)) V_x V_T T_a))))))))) (forall ((V_h $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_fs $$unsorted) (V_fs_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) (tptp.tc_Option_Ooption tptp.tc_Value_Oval)))) (let ((_let_3 (tptp.tc_prod _let_1 _let_2))) (let ((_let_4 (tptp.hAPP (tptp.c_Pair _let_1 _let_2) V_C))) (let ((_let_5 (tptp.c_Option_Ooption_OSome _let_3))) (or (not (= (tptp.hAPP V_h V_a) (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs)))) (not (tptp.c_Exceptions_Opreallocated V_h)) (tptp.c_Exceptions_Opreallocated (tptp.c_Fun_Ofun__upd V_h V_a (tptp.hAPP _let_5 (tptp.hAPP _let_4 V_fs_H)) tptp.tc_nat (tptp.tc_Option_Ooption _let_3)))))))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.c_Option_Ooption_OSome T_b))) (or (not (= (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_2 V_x) T_a _let_1) (tptp.c_Fun_Ofun__upd V_n V_a (tptp.hAPP _let_2 V_y) T_a _let_1))) (= V_x V_y))))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_z $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_z) (tptp.hAPP V_f V_z)) (= V_z V_x))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_z $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_z) (tptp.hAPP V_f V_z)) (= V_z V_x))) (forall ((T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (let ((_let_1 (tptp.c_Pair T_a T_b))) (or (not (= (tptp.hAPP (tptp.hAPP _let_1 V_a) V_b) (tptp.hAPP (tptp.hAPP _let_1 V_a_H) V_b_H))) (= V_b V_b_H)))) (forall ((T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (let ((_let_1 (tptp.c_Pair T_a T_b))) (or (not (= (tptp.hAPP (tptp.hAPP _let_1 V_a) V_b) (tptp.hAPP (tptp.hAPP _let_1 V_a_H) V_b_H))) (= V_a V_a_H)))) (forall ((V_t $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (or (not (= (tptp.hAPP V_t V_k) _let_1)) (= (tptp.c_Fun_Ofun__upd V_t V_k _let_1 T_b (tptp.tc_Option_Ooption T_a)) V_t)))) (forall ((V_m $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (T_aa $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_xa _let_1 T_aa (tptp.tc_Option_Ooption T_a)) V_xa) _let_1))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_aa $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_aa T_a) V_f)) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_aa $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_aa) V_x) V_y)) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_a T_b) V_f)) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_x) V_y)) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_b T_a) V_f)) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_z $$unsorted)) (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_x V_z T_a T_b) (tptp.c_Fun_Ofun__upd V_f V_x V_z T_a T_b))) (forall ((V_m $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_m V_a V_b T_a T_b) V_c V_d T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_m V_c V_d T_a T_b) V_a V_b T_a T_b)) (= V_a V_c))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (or (not (= (tptp.hAPP _let_1 V_a) (tptp.hAPP _let_1 V_a_H))) (= V_a V_a_H)))) (forall ((V_m $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_y))) (or (not (= (tptp.hAPP V_m V_x) _let_2)) (= V_x V_a) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_1 V_b) T_b (tptp.tc_Option_Ooption T_a)) V_x) _let_2))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_y))) (or (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_1 V_b) T_b (tptp.tc_Option_Ooption T_a)) V_x) _let_2)) (= (tptp.hAPP V_m V_x) _let_2) (= V_b V_y))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_y))) (or (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_1 V_b) T_b (tptp.tc_Option_Ooption T_a)) V_x) _let_2)) (= (tptp.hAPP V_m V_x) _let_2) (= V_x V_a))))) _let_16 (forall ((V_b $$unsorted) (V_y $$unsorted) (V_m $$unsorted) (V_x $$unsorted) (T_aa $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_aa))) (or (= V_b V_y) (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_x (tptp.hAPP _let_1 V_b) T_a (tptp.tc_Option_Ooption T_aa)) V_x) (tptp.hAPP _let_1 V_y)))))) _let_18 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_f)) (= (tptp.hAPP V_f V_x) V_y))) _let_18 _let_17 _let_16 _let_15 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Otop (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Otop T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Obot T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Ominus (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Ominus T_1)))) (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat) (tptp.class_Orderings_Obot tptp.tc_nat) (tptp.class_HOL_Ominus tptp.tc_nat) (tptp.class_Orderings_Otop tptp.tc_bool) (tptp.class_Orderings_Obot tptp.tc_bool) (tptp.class_HOL_Ominus tptp.tc_bool) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (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.hBOOL (tptp.c_fequal V_X V_Y T_a))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.70/8.90  )
% 8.70/8.91  % SZS output end Proof for SWV921-1
% 8.70/8.91  % cvc5---1.0.5 exiting
% 8.70/8.91  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------