TSTP Solution File: SWV954-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV954-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 21:53:52 EDT 2023
% Result : Unsatisfiable 0.70s 1.11s
% Output : Proof 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.23 % Problem : SWV954-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.25 % Command : do_cvc5 %s %d
% 0.25/0.46 % Computer : n010.cluster.edu
% 0.25/0.46 % Model : x86_64 x86_64
% 0.25/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.46 % Memory : 8042.1875MB
% 0.25/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.25/0.46 % CPULimit : 300
% 0.25/0.46 % WCLimit : 300
% 0.25/0.46 % DateTime : Tue Aug 29 04:19:19 EDT 2023
% 0.25/0.46 % CPUTime :
% 0.31/0.70 %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.71 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9AXED6INQp/cvc5---1.0.5_13699.p...
% 0.58/0.87 ------- get file name : TPTP file name is SWV954-1
% 0.58/0.87 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13699.smt2...
% 0.58/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.70/1.11 % SZS status Unsatisfiable for SWV954-1
% 0.70/1.11 % SZS output start Proof for SWV954-1
% 0.70/1.12 (
% 0.70/1.12 (let ((_let_1 (not tptp.v_thesis____))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ (tptp.c_Expr_Oexp_OFAss tptp.v_ea____ tptp.v_F____ tptp.v_D____ tptp.v_e_092_060_094isub_0622____ _let_2) tptp.v_T____))) (let ((_let_4 (forall ((V_T_092_060_094isub_0622 $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ V_T_092_060_094isub_0622)))))) (let ((_let_5 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_6 (tptp.tc_fun _let_2 _let_5))) (let ((_let_7 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_5)))))) (let ((_let_8 (tptp.c_Pair tptp.v_ha____ tptp.v_la____ _let_7 _let_6))) (let ((_let_9 (tptp.tc_prod _let_7 _let_6))) (let ((_let_10 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_11 (tptp.tc_prod _let_10 _let_9))) (let ((_let_12 (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 V_E V_P V_h V_v)) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 V_D V_E V_F V_P V_e V_h V_v)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))))) (let ((_let_13 (forall ((V_T_092_060_094isub_0622 $$unsorted)) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ V_T_092_060_094isub_0622))))) (let ((_let_14 (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 tptp.v_E____ tptp.v_P tptp.v_ha____ tptp.v_e_092_060_094isub_0622____))) (let ((_let_15 (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ _let_14))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_1)) :args (_let_13 true tptp.v_thesis____)))) (let ((_let_17 (not _let_3))) (let ((_let_18 (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 tptp.v_D____ tptp.v_E____ tptp.v_F____ tptp.v_P tptp.v_ea____ tptp.v_ha____ tptp.v_e_092_060_094isub_0622____))) (let ((_let_19 (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ _let_18))) (let ((_let_20 (or _let_15 _let_19 _let_17))) (let ((_let_21 (_let_12))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (_let_13))) (let ((_let_24 ((not (= (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ V_T_092_060_094isub_0622) false))))) (let ((_let_25 (ASSUME :args _let_23))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_17 _let_15 _let_19 (not _let_20)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_16 :args ((not _let_19) false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ tptp.v_D____ tptp.v_F____ tptp.v_ea____ tptp.v_T____ QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_2) V_T) false))))) :args _let_21)) _let_22 :args (_let_20 false _let_12)) :args (_let_15 false _let_3 true _let_19 false _let_20)) _let_16 :args (false false _let_15 false _let_13)) :args ((forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_ps $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCall V_e V_M V_ps _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_v $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_T $$unsorted) (V_D $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted)) (or (= V_T (tptp.c_Type_Oty_OClass V_D)) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OCast V_D V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (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))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0622 $$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_m_092_060_094isub_0621 $$unsorted) (V_x $$unsorted) (V_m_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.hAPP V_m_092_060_094isub_0621 V_x) (tptp.hAPP V_m_092_060_094isub_0622 V_x)) (not (tptp.c_in V_x (tptp.c_Map_Odom V_m_092_060_094isub_0621 T_a T_b) T_a)) (not (tptp.c_Map_Omap__le V_m_092_060_094isub_0621 V_m_092_060_094isub_0622 T_a T_b)))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_e $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OLAss V_v V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_V $$unsorted) (V_e $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OLAss V_V V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_T $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0621 V_T) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_m1 $$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_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_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_e $$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))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OCall V_e_H V_M V_es _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Relation_OId__on V_A T_a) T_a T_a) V_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_T $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_Othrow V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0620 V_e_092_060_094isub_0621 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0620 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_e_H $$unsorted) (V_v $$unsorted) (V_P $$unsorted) (V_s $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)))) (or (= V_e_H _let_1) (not (tptp.c_BigStep_Oeval V_P _let_1 V_s V_e_H V_s_H))))) (forall ((V_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_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_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 (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_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_g $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_f $$unsorted)) (or (tptp.c_Map_Omap__le V_g V_h T_a T_b) (not (tptp.c_Map_Omap__le (tptp.c_Map_Omap__add V_f V_g T_a T_b) V_h T_a T_b)))) (forall ((V_a $$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_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_exp1 $$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_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 V_E V_P V_h V_v)) (tptp.c_TypeRel_Ohas__field V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v) V_F (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_exp $$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_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_F $$unsorted) (V_a $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Osees__field V_P (tptp.c_WellType_Osko__WellType__XWT__elim__cases__8__1 V_D V_E V_F V_P V_a V_v) V_F (tptp.c_WellType_Osko__WellType__XWT__elim__cases__8__2 V_D V_E V_F V_P V_a V_v) V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_a V_F V_D V_v _let_1) V_T))))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s_092_060_094isub_0622 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_2) V_s_092_060_094isub_0620 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v _let_2) V_s_092_060_094isub_0621 _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_g $$unsorted)) (or (tptp.c_lessequals (tptp.c_Map_Odom V_f T_a T_b) (tptp.c_Map_Odom V_g T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_Map_Omap__le V_f V_g T_a T_b)))) (forall ((V_exp1_H $$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_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_Othrow V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_OId__on V_A T_a) T_a)) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_V $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OLAss V_V V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp $$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_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_e $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_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_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1_H $$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 $$unsorted) (V_val $$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 $$unsorted) (V_exp $$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_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_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_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_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_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Relation_OId__on V_A T_a) T_a T_a) V_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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OCast V_C V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_F $$unsorted) (V_T $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Osees__field V_P (tptp.c_WellType_Osko__WellType__XWT__elim__cases__7__1 V_D V_E V_F V_P V_T V_a) V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAcc V_a V_F V_D _let_1) V_T))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_e $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_v $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_exp1 $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_e $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e_H V_C V_V V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_l_092_060_094isub_0620 $$unsorted) (V_l_092_060_094isub_0621 $$unsorted) (V_P $$unsorted) (V_es $$unsorted) (V_h_092_060_094isub_0620 $$unsorted) (V_es_H $$unsorted) (V_h_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (or (tptp.c_lessequals (tptp.c_Map_Odom V_l_092_060_094isub_0620 _let_2 tptp.tc_Value_Oval) (tptp.c_Map_Odom V_l_092_060_094isub_0621 _let_2 tptp.tc_Value_Oval) (tptp.tc_fun _let_2 tptp.tc_bool)) (not (tptp.c_BigStep_Oevals V_P V_es (tptp.c_Pair V_h_092_060_094isub_0620 V_l_092_060_094isub_0620 _let_4 _let_3) V_es_H (tptp.c_Pair V_h_092_060_094isub_0621 V_l_092_060_094isub_0621 _let_4 _let_3))))))))) (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_P $$unsorted) (V_C $$unsorted) (V_F $$unsorted) (V_T $$unsorted) (V_D $$unsorted) (T_a $$unsorted)) (or (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D T_a) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (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_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 V_E V_P V_h V_v)) (tptp.c_TypeRel_Owiden V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 V_D V_E V_F V_P V_e V_h V_v) (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_s_H $$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_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_6 V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_exp_H $$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_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_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (= V_x V_y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in V_x (tptp.c_Relation_ODomain V_R T_a T_a) T_a))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_e_H_H $$unsorted) (V_s_H_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H) (not (tptp.c_BigStep_Oeval V_P V_e_H_H V_s_H_H V_e_H V_s_H)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H_H V_s_H_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_list V_list_H))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_TypeRel_Ohas__field V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 V_D V_E V_F V_P V_T V_e V_h) V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T))))) (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_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5)) (not (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H)) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_v $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch _let_6 V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_l1 $$unsorted) (V_l2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__add V_l1 V_l2 T_a T_b) V_m) (tptp.hAPP V_l2 V_m)) (not (tptp.c_in V_m (tptp.c_Map_Odom V_l2 T_a T_b) T_a)))) (forall ((V_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_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCond _let_6 V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_exp1_H $$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_T $$unsorted) (V_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_F $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (= V_T tptp.c_Type_Oty_OVoid) (tptp.c_TypeRel_Ohas__field V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v) V_F (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_e $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e_H V_bop V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_TypeRel_Osees__field V_P V_D V_F V_T V_D T_a) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (forall ((V_f $$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 ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))) (forall ((V_l_092_060_094isub_0620 $$unsorted) (V_l_092_060_094isub_0621 $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_h_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_h_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (or (tptp.c_lessequals (tptp.c_Map_Odom V_l_092_060_094isub_0620 _let_2 tptp.tc_Value_Oval) (tptp.c_Map_Odom V_l_092_060_094isub_0621 _let_2 tptp.tc_Value_Oval) (tptp.tc_fun _let_2 tptp.tc_bool)) (not (tptp.c_BigStep_Oeval V_P V_e (tptp.c_Pair V_h_092_060_094isub_0620 V_l_092_060_094isub_0620 _let_4 _let_3) V_e_H (tptp.c_Pair V_h_092_060_094isub_0621 V_l_092_060_094isub_0621 _let_4 _let_3))))))))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Othrow V_exp T_a)))) (forall ((V_P $$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_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_x $$unsorted) (V_R $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Relation_ODomain V_R T_a T_a) T_a) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a)))) (forall ((V_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_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((V_T_H $$unsorted) (V_T $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_F $$unsorted) (V_D_H $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (= V_T_H V_T) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T_H V_D_H T_a)) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (forall ((V_D_H $$unsorted) (V_D $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_F $$unsorted) (V_T_H $$unsorted) (T_a $$unsorted) (V_T $$unsorted)) (or (= V_D_H V_D) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T_H V_D_H T_a)) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((V_exp1 $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_s_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_Othrow V_e _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_V $$unsorted) (V_e $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OLAss V_V V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= V_x V_y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1) (not (tptp.c_in V_p V_r _let_1))))) (forall ((V_P $$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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_b _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_b V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_b _let_1 T_a) (not (tptp.c_in V_a _let_1 T_a)) (not (tptp.c_in (tptp.c_Pair V_b V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_exp $$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_v_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_P $$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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_Expr_Oexp_Othrow V_e_H _let_1))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_2 V_s_092_060_094isub_0621)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_P $$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 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0620 V_e_092_060_094isub_0621 _let_1) V_s_092_060_094isub_0620 V_e_092_060_094isub_0622 V_s_092_060_094isub_0622) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0621 V_e_092_060_094isub_0622 V_s_092_060_094isub_0622)) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0620 V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v _let_1) V_s_092_060_094isub_0621))))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_val $$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_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_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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$unsorted) (V_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))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCall _let_6 V_M V_es _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_s0 $$unsorted) (V_a $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_092_060_094isub_0621 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_2) V_s0 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s0 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_P $$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_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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OCond V_e_H V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_exp1 $$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_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_v_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_bop _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_A T_a)))) (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_t V_B T_a) (not (tptp.c_in V_t V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))) (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A V_C _let_1) (not (tptp.c_lessequals V_B V_C _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_val $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s_092_060_094isub_0622 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 _let_2) V_s_092_060_094isub_0620 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_s_092_060_094isub_0621 _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_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_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_exp1 $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_T $$unsorted) (V_D $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted)) (or (= V_T (tptp.c_Type_Oty_OClass V_D)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OCast V_D V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_exp1 $$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 $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_TypeRel_Ohas__field V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v) V_F (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_l1 $$unsorted) (V_l2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__add V_l1 V_l2 T_a T_b) V_m) (tptp.hAPP V_l2 V_m)) (tptp.c_in V_m (tptp.c_Map_Odom V_l1 T_a T_b) T_a))) (forall ((V_l1 $$unsorted) (V_l2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__add V_l1 V_l2 T_a T_b) V_m) (tptp.hAPP V_l1 V_m)) (tptp.c_in V_m (tptp.c_Map_Odom V_l2 T_a T_b) T_a))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_bop V_bop_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_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_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1 $$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_val $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a))) (= V_val V_val_H))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (= (tptp.c_Transitive__Closure_Ortrancl _let_1 T_a) _let_1))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (forall ((V_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_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 (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_list_H $$unsorted)) (not (= tptp.c_Type_Oty_OVoid (tptp.c_Type_Oty_OClass V_list_H)))) (forall ((V_e $$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_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (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_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) (V_F $$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))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e_H V_F V_D V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc V_e_H V_F V_D _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) (V_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 (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_T $$unsorted) (V_C $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (= V_T (tptp.c_Type_Oty_OClass (tptp.c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1 V_C V_P V_T T_a))) (= V_T tptp.c_Type_Oty_ONT) (not (tptp.c_TypeRel_Owiden V_P V_T (tptp.c_Type_Oty_OClass V_C) T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_a $$unsorted) (V_a_H $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_b_H $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (= V_a V_a_H) (tptp.c_in (tptp.c_Pair V_a V_a_H T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b) _let_1 _let_1) (tptp.c_Wellfounded_Olex__prod V_r V_s T_a T_b) (tptp.tc_prod _let_1 _let_1)))))) (forall ((V_e $$unsorted) (V_h $$unsorted) (V_l_092_060_094isub_0620 $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l_H _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8))))))))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 V_E V_P V_h V_v)) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_H $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) tptp.c_Type_Oty_OVoid) (not (tptp.c_TypeRel_Owiden V_P V_T_H V_T _let_2)) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0622 V_T_H)) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D _let_2)) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0621 (tptp.c_Type_Oty_OClass V_C))))))) (forall ((V_list_H $$unsorted)) (not (= tptp.c_Type_Oty_ONT (tptp.c_Type_Oty_OClass V_list_H)))) (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_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_a _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_b _let_1 T_a))))) (forall ((V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_y _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_y V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_F $$unsorted) (V_a $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Owiden V_P (tptp.c_WellType_Osko__WellType__XWT__elim__cases__8__3 V_D V_E V_F V_P V_a V_v) (tptp.c_WellType_Osko__WellType__XWT__elim__cases__8__2 V_D V_E V_F V_P V_a V_v) (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_a V_F V_D V_v _let_1) V_T))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0622_H $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair V_e_092_060_094isub_0622_H V_s_092_060_094isub_0622 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s_092_060_094isub_0620 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_s_092_060_094isub_0621 _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e_H V_C V_V V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_e $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 V_D V_E V_F V_P V_e V_h V_v)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_T $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 V_E V_P V_h V_v)) (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_a T_b) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_x V_b T_b T_a) V_r (tptp.tc_prod T_b T_a))) (not (tptp.c_in V_x V_A T_b)))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e_H V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x V_A T_a)))) _let_12 (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_x $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b_H $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_x V_b T_a T_b) (tptp.c_Pair V_x V_b_H T_a T_b) _let_1 _let_1) (tptp.c_Wellfounded_Olex__prod V_r V_s T_a T_b) (tptp.tc_prod _let_1 _let_1)) (not (tptp.c_in (tptp.c_Pair V_b V_b_H T_b T_b) V_s (tptp.tc_prod T_b T_b)))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b) _let_1 _let_1) (tptp.c_Wellfounded_Olex__prod V_r V_s T_a T_b) (tptp.tc_prod _let_1 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_a_H T_a T_a) V_r (tptp.tc_prod T_a T_a)))))) (not (= tptp.c_Type_Oty_ONT tptp.c_Type_Oty_OVoid)) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_e $$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))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_TypeRel_Owiden V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 V_D V_E V_F V_P V_e V_h V_v) (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))) (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_y V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))) (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))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e_H V_F V_D V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc V_e_H V_F V_D _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_b $$unsorted) (V_b_H $$unsorted) (T_b $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (tptp.c_in (tptp.c_Pair V_b V_b_H T_b T_b) V_s (tptp.tc_prod T_b T_b)) (tptp.c_in (tptp.c_Pair V_a V_a_H T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b) _let_1 _let_1) (tptp.c_Wellfounded_Olex__prod V_r V_s T_a T_b) (tptp.tc_prod _let_1 _let_1)))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ORange V_r T_b T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_x V_a T_b T_a) V_r (tptp.tc_prod T_b T_a))))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_a T_b) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_exp $$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_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_list2 V_list2_H))) (forall ((V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_6 V_F V_D V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_list_H $$unsorted)) (not (= (tptp.c_Type_Oty_OClass V_list_H) tptp.c_Type_Oty_OVoid))) (forall ((V_x $$unsorted) (V_y_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted) (V_P $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_x V_y_H T_a T_b) (tptp.c_Pair V_x V_y T_a T_b) _let_1 _let_1) (tptp.c_Recdef_Osame__fst V_P V_R T_a T_b) (tptp.tc_prod _let_1 _let_1)) (not (tptp.c_in (tptp.c_Pair V_y_H V_y T_b T_b) (tptp.hAPP V_R V_x) (tptp.tc_prod T_b T_b))) (not (tptp.hBOOL (tptp.hAPP V_P V_x)))))) (forall ((V_list $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_Type_Oty_OClass V_list) (tptp.c_Type_Oty_OClass V_list_H))) (= V_list V_list_H))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_WellType_OWT V_P V_E V_e (tptp.c_Type_Oty_OClass V_C)))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (or (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s_H) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)))))))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc _let_6 V_F V_D _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_h $$unsorted) (V_h_H $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (or (tptp.c_Objects_Ohext V_h V_h_H) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7)))))))))))) (forall ((V_a1 $$unsorted) (V_P $$unsorted) (V_a2 $$unsorted)) (or (= V_a1 tptp.c_Type_Oty_ONT) (= V_a1 (tptp.c_Type_Oty_OClass (tptp.v_sko__TypeRel__Xwiden__Xcases__1 V_P V_a1 V_a2))) (= V_a2 V_a1) (not (tptp.c_TypeRel_Owiden V_P V_a1 V_a2 tptp.t_a)))) (forall ((V_a1 $$unsorted) (V_a2 $$unsorted) (V_P $$unsorted)) (or (= V_a1 tptp.c_Type_Oty_ONT) (= V_a2 (tptp.c_Type_Oty_OClass (tptp.v_sko__TypeRel__Xwiden__Xcases__2 V_P V_a1 V_a2))) (= V_a2 V_a1) (not (tptp.c_TypeRel_Owiden V_P V_a1 V_a2 tptp.t_a)))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_F $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (= V_T tptp.c_Type_Oty_OVoid) (tptp.c_TypeRel_Owiden V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 V_D V_E V_F V_P V_e V_h V_v) (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss (tptp.c_Expr_Oexp_OVal V_v _let_2) V_F V_D _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq _let_6 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_x T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_a $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E V_a (tptp.c_Type_Oty_OClass (tptp.c_WellType_Osko__WellType__XWT__elim__cases__7__1 V_D V_E V_F V_P V_T V_a))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAcc V_a V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_b $$unsorted) (V_B $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_a V_A T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b))))) (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_xa V_x T_a T_a) V_r _let_1) (tptp.c_in (tptp.c_Pair V_x V_xa T_a T_a) V_r _let_1) (= V_x V_xa) (not (tptp.c_in V_xa V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Relation_Ototal__on V_A V_r T_a))))) (forall ((V_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_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e_H V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_S T_a) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))) (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.c_in V_x V_S T_a)))) (forall ((V_e $$unsorted) (V_h $$unsorted) (V_l_092_060_094isub_0620 $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H (tptp.c_Map_Omap__add V_l_092_060_094isub_0620 V_l_H _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8))))))))))))) (forall ((V_l_092_060_094isub_0620 $$unsorted) (V_l_092_060_094isub_0621 $$unsorted) (V_e $$unsorted) (V_h_092_060_094isub_0620 $$unsorted) (V_e_H $$unsorted) (V_h_092_060_094isub_0621 $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (or (tptp.c_lessequals (tptp.c_Map_Odom V_l_092_060_094isub_0620 _let_2 tptp.tc_Value_Oval) (tptp.c_Map_Odom V_l_092_060_094isub_0621 _let_2 tptp.tc_Value_Oval) (tptp.tc_fun _let_2 tptp.tc_bool)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h_092_060_094isub_0620 V_l_092_060_094isub_0620 _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_092_060_094isub_0621 V_l_092_060_094isub_0621 _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7)))))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_C $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_Othrow V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) tptp.c_Type_Oty_OVoid) (not (tptp.c_WellType_OWT V_P V_E V_e (tptp.c_Type_Oty_OClass V_C))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OVal V_v _let_2) V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair V_e_092_060_094isub_0622 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)))))))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_e_H_H $$unsorted) (V_s_H_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H) (not (tptp.c_BigStep_Oeval V_P V_e_H_H V_s_H_H V_e_H V_s_H)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H_H V_s_H_H _let_2 _let_4) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_WWellForm_Owwf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_P $$unsorted) (V_T $$unsorted) (T_a $$unsorted)) (tptp.c_TypeRel_Owiden V_P V_T V_T T_a)) (forall ((V_P $$unsorted) (V_S $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_U $$unsorted)) (or (tptp.c_TypeRel_Owiden V_P V_S V_T T_a) (not (tptp.c_TypeRel_Owiden V_P V_U V_T T_a)) (not (tptp.c_TypeRel_Owiden V_P V_S V_U T_a)))) (forall ((V_list_H $$unsorted)) (not (= (tptp.c_Type_Oty_OClass V_list_H) tptp.c_Type_Oty_ONT))) (forall ((V_P $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (tptp.c_TypeRel_Owiden V_P tptp.c_Type_Oty_ONT (tptp.c_Type_Oty_OClass V_C) T_a)) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_y V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e (tptp.c_Type_Oty_OClass V_C)))))) (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))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_a $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E V_a (tptp.c_Type_Oty_OClass (tptp.c_WellType_Osko__WellType__XWT__elim__cases__8__1 V_D V_E V_F V_P V_a V_v))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_a V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_e $$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))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OCall V_e_H V_M V_es _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) tptp.c_Type_Oty_OVoid) (not (tptp.c_TypeRel_Owiden V_P V_T_092_060_094isub_0622 V_T _let_2)) (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_TypeRel_Ohas__field V_P V_C V_F V_T V_D _let_2)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0621 (tptp.c_Type_Oty_OClass V_C))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) tptp.c_Type_Oty_OVoid) (not (tptp.c_TypeRel_Owiden V_P V_T_092_060_094isub_0622 V_T _let_2)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D _let_2)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0621 (tptp.c_Type_Oty_OClass V_C))))))) (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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e_H V_bop V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod (tptp.tc_List_Olist _let_2) _let_6))) (or (tptp.c_Conform_Ohconf V_P V_h_H _let_8) (not (tptp.c_Conform_Ohconf V_P V_h _let_8)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_E $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod (tptp.tc_List_Olist _let_2) _let_6))) (or (tptp.c_Conform_Olconf V_P V_h_H V_l_H V_E _let_8) (not (tptp.c_Conform_Olconf V_P V_h V_l V_E _let_8)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (not (= tptp.c_Type_Oty_OVoid tptp.c_Type_Oty_ONT)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 V_D V_E V_F V_P V_T V_e V_h))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass V_C)))))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1 $$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_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ V_E tptp.v_e_Ha____ (tptp.v_sko__local__XFAssRed1__Xhyps__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_h $$unsorted) (V_h_H $$unsorted) (V_P $$unsorted) (V_es $$unsorted) (V_l $$unsorted) (V_es_H $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (or (tptp.c_Objects_Ohext V_h V_h_H) (not (tptp.c_BigStep_Oevals V_P V_es (tptp.c_Pair V_h V_l _let_4 _let_3) V_es_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3))))))))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_a $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_a V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_h $$unsorted)) (tptp.c_Objects_Ohext V_h V_h)) (forall ((V_h $$unsorted) (V_h_H_H $$unsorted) (V_h_H $$unsorted)) (or (tptp.c_Objects_Ohext V_h V_h_H_H) (not (tptp.c_Objects_Ohext V_h_H V_h_H_H)) (not (tptp.c_Objects_Ohext V_h V_h_H)))) (forall ((V_Ea $$unsorted) (V_Ta $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Owiden tptp.v_P (tptp.v_sko__local__XIH__1 V_Ea tptp.v_P V_Ta tptp.v_e_Ha____ tptp.v_h_Ha____) V_Ta (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_Ea tptp.v_ea____ V_Ta)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_Ea (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_v $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_v (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 V_D V_E V_F V_P V_e V_h V_v)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair tptp.v_ea____ _let_8 _let_10 _let_9) (tptp.c_Pair tptp.v_e_Ha____ (tptp.c_Pair tptp.v_h_Ha____ tptp.v_l_Ha____ _let_7 _let_6) _let_10 _let_9) _let_11 _let_11) (tptp.c_SmallStep_Ored tptp.v_P) (tptp.tc_prod _let_11 _let_11)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBI V_P T_a) V_P)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Owiden tptp.v_P (tptp.v_sko__local__XFAssRed1__Xhyps__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____) V_T (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ V_E tptp.v_e_Ha____ (tptp.v_sko__local__XFAssRed1__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_f $$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 $$unsorted)) (or (tptp.c_Map_Omap__le V_m1 V_m3 T_a T_b) (not (tptp.c_Map_Omap__le V_m2 V_m3 T_a T_b)) (not (tptp.c_Map_Omap__le V_m1 V_m2 T_a T_b)))) (forall ((V_P $$unsorted) (V_E_H $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_E $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E_H V_e V_T) (not (tptp.c_Map_Omap__le V_E V_E_H (tptp.tc_List_Olist tptp.tc_String_Ochar) tptp.tc_Type_Oty)) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)))) (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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (or (tptp.c_Objects_Ohext V_h V_h_H) (not (tptp.c_BigStep_Oeval V_P V_e (tptp.c_Pair V_h V_l _let_4 _let_3) V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3))))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT)))) (= tptp.v_T____ tptp.c_Type_Oty_OVoid) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e tptp.c_Type_Oty_ONT)))) (forall ((V_Ea $$unsorted) (V_Ta $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ V_Ea tptp.v_e_Ha____ (tptp.v_sko__local__XIH__1 V_Ea tptp.v_P V_Ta tptp.v_e_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_Ea tptp.v_ea____ V_Ta)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_Ea (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (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)))))))) (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 ((V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted)) (let ((_let_1 (= V_T tptp.c_Type_Oty_OVoid))) (or _let_1 _let_1 (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_v $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_a $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E V_v (tptp.c_WellType_Osko__WellType__XWT__elim__cases__8__3 V_D V_E V_F V_P V_a V_v)) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_a V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) tptp.c_Type_Oty_OVoid) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0621 tptp.c_Type_Oty_ONT)))) (forall ((V_P $$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_Progress_OWTrt_H 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_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Owiden tptp.v_P (tptp.v_sko__local__XFAssRed1__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____) V_T (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (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)))))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0621 $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) tptp.c_Type_Oty_OVoid) (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 tptp.c_Type_Oty_ONT)))) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_e_Ha____ tptp.c_Type_Oty_ONT) (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P tptp.v_E____ _let_8) (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 $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E_H $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_E $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E_H V_e V_T) (not (tptp.c_Map_Omap__le V_E V_E_H (tptp.tc_List_Olist tptp.tc_String_Ochar) tptp.tc_Type_Oty)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e V_T) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e V_T)))) _let_3 (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)))) (forall ((V_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)))) (= (tptp.c_COMBI tptp.v_P tptp.t_a) tptp.v_P) _let_4 _let_3 _let_1 (forall ((V_x $$unsorted)) (or tptp.v_thesis____ (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ V_x)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))) (tptp.class_Orderings_Opreorder tptp.tc_nat) (tptp.class_Orderings_Olinorder tptp.tc_nat) (tptp.class_Orderings_Oorder tptp.tc_nat) (tptp.class_HOL_Oord tptp.tc_nat) (tptp.class_Orderings_Opreorder tptp.tc_bool) (tptp.class_Orderings_Oorder tptp.tc_bool) (tptp.class_HOL_Oord tptp.tc_bool) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)) (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a))))))))))))))))))))))))))))))))
% 0.70/1.12 )
% 0.70/1.13 % SZS output end Proof for SWV954-1
% 0.70/1.13 % cvc5---1.0.5 exiting
% 0.70/1.13 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------