TSTP Solution File: SWV990-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV990-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:53:59 EDT 2023
% Result : Unsatisfiable 33.78s 34.13s
% Output : Proof 33.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.24/0.23 % Problem : SWV990-1 : TPTP v8.1.2. Released v4.1.0.
% 0.24/0.24 % Command : do_cvc5 %s %d
% 0.25/0.46 % Computer : n025.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 04:01:55 EDT 2023
% 0.31/0.46 % CPUTime :
% 0.31/0.70 %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.71 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HSzoKIK4Pf/cvc5---1.0.5_30711.p...
% 0.69/0.87 ------- get file name : TPTP file name is SWV990-1
% 0.69/0.87 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30711.smt2...
% 0.69/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.69/10.94 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.78/16.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.84/21.06 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.87/26.10 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.95/31.20 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 33.78/34.13 % SZS status Unsatisfiable for SWV990-1
% 33.78/34.13 % SZS output start Proof for SWV990-1
% 33.78/34.14 (
% 33.78/34.14 (let ((_let_1 (forall ((V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) V_x) tptp.v_T))) (not (tptp.c_TypeSafe__Mirabelle_Owf__config tptp.v_P tptp.v_E tptp.v_s_H tptp.v_e_H V_x))))))) (let ((_let_2 (tptp.c_TypeSafe__Mirabelle_Owf__config tptp.v_P tptp.v_E tptp.v_s tptp.v_e tptp.v_T))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_4 (tptp.tc_fun (tptp.tc_prod _let_4 _let_4) _let_3)))) (tptp.tc_fun _let_4 _let_3)))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_4))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_in (tptp.c_Pair (tptp.c_Pair tptp.v_e tptp.v_s _let_6 _let_5) (tptp.c_Pair tptp.v_e_H tptp.v_s_H _let_6 _let_5) _let_7 _let_7) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored tptp.v_P) _let_7) _let_8))) (let ((_let_10 (forall ((V_P $$unsorted) (V_s $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)))))) (let ((_let_11 (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)))))) (let ((_let_12 (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)))))) (let ((_let_13 (forall ((V_P $$unsorted) (V_E $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s_H) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))))) (let ((_let_14 (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))) (tptp.tc_fun _let_1 _let_4)))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P _let_3) (tptp.v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1 V_E V_P V_T V_e_H V_s_H)) V_T)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_5) (tptp.c_Pair V_e_H V_s_H _let_2 _let_5) _let_6 _let_6) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_6) (tptp.tc_prod _let_6 _let_6))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3)))))))))))) (let ((_let_15 (forall ((V_P $$unsorted) (V_s_H $$unsorted) (V_E $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s_H) V_E V_e_H (tptp.v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))))) (let ((_let_16 (tptp.tc_prod (tptp.tc_List_Olist _let_4) _let_6))) (let ((_let_17 (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl tptp.v_P _let_16))) (let ((_let_18 (tptp.v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1 tptp.v_E tptp.v_P tptp.v_T tptp.v_e_H tptp.v_s_H))) (let ((_let_19 (tptp.c_TypeRel_Owiden tptp.v_P _let_16))) (let ((_let_20 (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_19 _let_18) tptp.v_T)))) (let ((_let_21 (tptp.c_TypeSafe__Mirabelle_Owf__config tptp.v_P tptp.v_E tptp.v_s_H tptp.v_e_H _let_18))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_20))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (not _let_17))) (let ((_let_26 (not _let_9))) (let ((_let_27 (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P tptp.v_E tptp.v_s))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c_WellTypeRT_OWTrt tptp.v_P (tptp.c_State_Ohp tptp.v_s) tptp.v_E tptp.v_e tptp.v_T))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_20 _let_30 _let_28 _let_26 _let_25))) (let ((_let_32 (_let_14))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_2))) (let ((_let_35 (or _let_29 _let_34))) (let ((_let_36 (_let_10))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (ASSUME :args (_let_2)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_29 (not _let_35)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.v_P tptp.v_s tptp.v_E tptp.v_e tptp.v_T QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_10)) :args (_let_29 false _let_2 false _let_35)))) (let ((_let_40 (or _let_27 _let_34))) (let ((_let_41 (_let_11))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_34 _let_27 (not _let_40)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.v_P tptp.v_E tptp.v_s tptp.v_e tptp.v_T QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T) false))))) :args _let_41)) _let_42 :args (_let_40 false _let_11)) :args (_let_27 false _let_2 false _let_40)))) (let ((_let_44 (ASSUME :args (_let_9)))) (let ((_let_45 (ASSUME :args (_let_17)))) (let ((_let_46 (_let_1))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P tptp.v_E tptp.v_s_H))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.c_WellTypeRT_OWTrt tptp.v_P (tptp.c_State_Ohp tptp.v_s_H) tptp.v_E tptp.v_e_H _let_18))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_21 _let_51 _let_49))) (let ((_let_53 (_let_12))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (or _let_50 _let_30 _let_28 _let_26 _let_25))) (let ((_let_56 (_let_15))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (or _let_48 _let_28 _let_30 _let_26 _let_25))) (let ((_let_59 (_let_13))) (let ((_let_60 (ASSUME :args _let_59))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_22 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_49 _let_51 _let_21 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_25 _let_26 _let_28 _let_30 _let_48 (not _let_58)))) _let_45 _let_44 _let_43 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.v_P tptp.v_E tptp.v_s_H tptp.v_s tptp.v_e tptp.v_T tptp.v_e_H QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T) false)) (not (= (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_6 _let_5) (tptp.c_Pair V_e_H V_s_H _let_6 _let_5) _let_7 _let_7) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7) _let_8) false))))) :args _let_59)) _let_60 :args (_let_58 false _let_13)) :args (_let_48 false _let_17 false _let_9 false _let_27 false _let_29 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_25 _let_26 _let_28 _let_30 _let_50 (not _let_55)))) _let_45 _let_44 _let_43 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.v_P tptp.v_s_H tptp.v_E tptp.v_e_H tptp.v_T tptp.v_s tptp.v_e QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T) false)) (not (= (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_6 _let_5) (tptp.c_Pair V_e_H V_s_H _let_6 _let_5) _let_7 _let_7) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7) _let_8) false))))) :args _let_56)) _let_57 :args (_let_55 false _let_15)) :args (_let_50 false _let_17 false _let_9 false _let_27 false _let_29 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.v_P tptp.v_E tptp.v_s_H tptp.v_e_H _let_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T) false))))) :args _let_53)) _let_54 :args (_let_52 false _let_12)) :args (_let_21 false _let_48 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_19 V_x) tptp.v_T)) false))))) :args _let_46)) _let_47 :args (_let_24 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_25 _let_26 _let_28 _let_30 _let_20 (not _let_31)))) _let_45 _let_44 _let_43 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.v_P tptp.v_E tptp.v_T tptp.v_e_H tptp.v_s_H tptp.v_s tptp.v_e QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_6 _let_5) (tptp.c_Pair V_e_H V_s_H _let_6 _let_5) _let_7 _let_7) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7) _let_8) false)) (not (= (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T) false))))) :args _let_32)) _let_33 :args (_let_31 false _let_14)) :args (_let_20 false _let_17 false _let_9 false _let_27 false _let_29 false _let_31)) :args (false false _let_21 false _let_24 false _let_20)) :args ((forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Value_Oval_OAddr V_nat) (tptp.c_Value_Oval_OAddr V_nat_H))) (= V_nat V_nat_H))) (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Value_Oval_OAddr V_nat_H) tptp.c_Value_Oval_OUnit))) (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Value_Oval_OAddr V_nat_H) tptp.c_Value_Oval_ONull))) (forall ((V_V $$unsorted) (V_T $$unsorted) (V_a $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow (tptp.c_Expr_Oexp_OVal (tptp.c_Value_Oval_OAddr V_a) _let_2) _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBlock V_V V_T _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_nat_H $$unsorted)) (not (= tptp.c_Value_Oval_OUnit (tptp.c_Value_Oval_OAddr V_nat_H)))) (forall ((V_nat_H $$unsorted)) (not (= 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(forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall 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$$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H 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T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_ty V_ty_H))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_V $$unsorted) (V_T $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_u _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBlock V_V V_T _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_val $$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_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 $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_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_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a)))) (forall ((V_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_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_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_val $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_x _let_1 T_a) (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 V_r V_x T_a) _let_1 T_a))))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1_H $$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_x $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r)))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a 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(tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OWhile V_b V_c _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair _let_6 V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OCond V_b (tptp.c_Expr_Oexp_OSeq V_c _let_6 _let_2) (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_OUnit _let_2) _let_2) V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a)))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))) (forall ((V_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 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$$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a) _let_1 T_a) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) 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T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_C $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_ONull _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_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_OVal tptp.c_Value_Oval_ONull _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_V $$unsorted) (V_T $$unsorted) (V_v $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_u _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2) _let_6 _let_2) _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_ya $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r tptp.t_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.c_in V_ya _let_1 tptp.t_a) (not (tptp.c_in (tptp.c_Pair V_ya (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x _let_1 tptp.t_a))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_ya $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r tptp.t_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.c_in V_ya _let_1 tptp.t_a) (not (tptp.c_in (tptp.c_Pair V_ya (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x _let_1 tptp.t_a))))) (forall ((V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r T_a) T_a) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 V_r V_x T_a) V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 V_P V_r) tptp.t_a tptp.t_a) V_r (tptp.tc_prod tptp.t_a tptp.t_a))) (not (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_r tptp.t_a) tptp.t_a)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.hBOOL (tptp.hAPP V_P V_y)) (not (tptp.c_in (tptp.c_Pair V_y (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 V_P V_r T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a (tptp.c_Wellfounded_Oacc V_r T_a) T_a)))) (forall ((V_R $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 V_R V_x T_a) V_x T_a T_a) V_R (tptp.tc_prod T_a T_a)) (tptp.c_in V_x (tptp.c_Wellfounded_Oacc V_R T_a) T_a))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 V_a V_r T_a T_b) V_a T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_a (tptp.c_Relation_ORange V_r T_b T_a) T_a)))) (forall ((V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 V_b V_r T_a T_b) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)) (not (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_b T_a) T_a)))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_Ts_H $$unsorted) (V_h $$unsorted) (V_vs $$unsorted)) (or (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P T_a) (tptp.c_Conform_Osko__Conform__Xconfs__conv__map__1__1 V_P V_Ts_H V_h V_vs T_a) V_Ts_H tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 (tptp.c_Conform_Oconf V_P V_h T_a) V_vs V_Ts_H tptp.tc_Value_Oval tptp.tc_Type_Oty)))) (forall ((V_h $$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_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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OVal V_v _let_2) V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair V_e_092_060_094isub_0622 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)))))))) (forall ((V_v $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch _let_6 V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_b $$unsorted) (V_c $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OWhile V_b V_c _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_b V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_E $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod (tptp.tc_List_Olist _let_2) _let_6))) (or (tptp.c_Conform_Olconf V_P V_h_H V_l_H V_E _let_8) (not (tptp.c_Conform_Olconf V_P V_h V_l V_E _let_8)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod (tptp.tc_List_Olist _let_2) _let_6))) (or (tptp.c_Conform_Ohconf V_P V_h_H _let_8) (not (tptp.c_Conform_Ohconf V_P V_h _let_8)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))))))))))))) (forall ((V_v_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_bop _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_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_v $$unsorted) (V_bop $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp _let_8 V_bop V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_v $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal V_v _let_2))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss _let_8 V_F V_D V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e_092_060_094isub_0621 $$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_v $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OTryCatch V_e V_C V_V V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_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_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_P $$unsorted) (V_E $$unsorted) (V_s_H $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s_H V_e_H (tptp.v_sko__TypeSafe__Mirabelle__XSubject__reduction__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))) (tptp.tc_fun _let_1 _let_4)))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P _let_3) (tptp.v_sko__TypeSafe__Mirabelle__XSubject__reduction__1 V_E V_P V_T V_e_H V_s_H)) V_T)) (not (tptp.c_TypeSafe__Mirabelle_Owf__config V_P V_E V_s V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_5) (tptp.c_Pair V_e_H V_s_H _let_2 _let_5) _let_6 _let_6) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_6 _let_6))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3)))))))))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_E $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_h $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_fun _let_1 _let_3))) (let ((_let_5 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))))) (let ((_let_6 (tptp.tc_prod _let_5 _let_4))) (let ((_let_7 (tptp.tc_prod _let_2 _let_6))) (let ((_let_8 (tptp.c_Pair V_h V_l _let_5 _let_4))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h_H V_E V_e_H (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1 V_E V_P V_T V_e_H V_h_H)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E _let_8)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e _let_8 _let_2 _let_6) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_5 _let_4) _let_2 _let_6) _let_7 _let_7) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_7 _let_7))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))))))))))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_h $$unsorted) (V_e $$unsorted) (V_l $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_fun _let_1 _let_4))) (let ((_let_6 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_2 _let_7))) (let ((_let_9 (tptp.c_Pair V_h V_l _let_6 _let_5))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P _let_3) (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1 V_E V_P V_T V_e_H V_h_H)) V_T)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E _let_9)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e _let_9 _let_2 _let_7) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_6 _let_5) _let_2 _let_7) _let_8 _let_8) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_8 _let_8))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3))))))))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0621 $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a T_a))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1) (not (tptp.c_in V_p V_r _let_1))))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse V_r T_b T_a) T_a T_b) (tptp.c_Relation_ORange V_r T_b T_a))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange V_r T_b T_a) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse V_r T_b T_a) T_a T_b))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Ototal__on V_A V_r T_a) (not (tptp.c_Relation_Ototal__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Ototal__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Ototal__on V_A V_r T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp3 V_exp3_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_a V_a_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_list V_list_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_bop V_bop_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) _let_17 (forall ((V_exp_H $$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_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) _let_1)))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1)))))) (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Transitive__Closure_Otrancl V_R T_a) T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 V_P V_b V_r T_a) (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 V_P V_b V_r T_a) T_a T_a) V_r _let_1) (not (tptp.hBOOL (tptp.hAPP V_P V_b))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_b)) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 V_P V_a V_r T_a) (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 V_P V_a V_r T_a) T_a T_a) V_r _let_1) (not (tptp.hBOOL (tptp.hAPP V_P V_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_R $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_R _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_R _let_1))))) (forall ((V_a $$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_Otrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _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_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 $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_a V_b T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1) (not (tptp.c_in _let_2 V_r _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in 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(tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b)) (not (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) V_r (tptp.tc_prod T_b T_a))))) (forall ((V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (= V_y V_z) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_b) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_b) V_r _let_1)) (not (tptp.c_Relation_Osingle__valued V_r 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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat 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(let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq _let_6 V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_e $$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_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_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_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_Othrow V_e _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCall _let_6 V_M V_es _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_P $$unsorted) (V_s_H $$unsorted) (V_E $$unsorted) (V_e_H $$unsorted) (V_T $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_3)))) (tptp.tc_fun _let_1 _let_3)))) (let ((_let_5 (tptp.tc_prod _let_2 _let_4))) (or (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s_H) V_E V_e_H (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1 V_E V_P V_T V_e_H V_s_H)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_4) (tptp.c_Pair V_e_H V_s_H _let_2 _let_4) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2)))))))))) (forall ((V_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_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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBinOp V_e V_bop V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCast V_C V_e _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$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_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_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 $$unsorted) (V_list1 $$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 $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$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_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Othrow V_exp T_a)))) (forall ((V_A $$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_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$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_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$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_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oconverse V_r T_a T_b) T_b T_a) V_r)) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Relation_OId__on V_A T_a) T_a T_a) V_A)) (forall ((V_exp_H $$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_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Relation_Oconverse V_r T_a T_b) T_b T_a) (tptp.c_Relation_ODomain V_r T_a T_b))) (forall ((V_exp $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_m3 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__add V_m1 (tptp.c_Map_Omap__add V_m2 V_m3 T_a T_b) T_a T_b) (tptp.c_Map_Omap__add (tptp.c_Map_Omap__add V_m1 V_m2 T_a T_b) V_m3 T_a T_b))) (forall ((V_exp1 $$unsorted) (V_list1 $$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 $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1 $$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 $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp1 $$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_exp2 V_exp2_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp $$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 $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Relation_OId__on V_A T_a))) (= (tptp.c_Relation_Oconverse _let_1 T_a T_a) _let_1))) (forall ((V_exp1 $$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_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_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (tptp.c_Relation_Oconverse (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a))) (forall ((V_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_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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1_H $$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_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_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_exp $$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_R $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Transitive__Closure_Ortrancl V_R T_a))) (= (tptp.c_Transitive__Closure_Otrancl _let_1 T_a) _let_1))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1_H $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_exp $$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 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp1_H $$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_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_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_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ORange V_r T_a T_a))) (forall ((V_list $$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 $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Relation_OId__on V_A T_a) T_a T_a) V_A)) (forall ((V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.c_Relation_Orefl__on V_A V_r T_a) (not (tptp.c_Relation_Orefl__on V_A (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_list V_list_H))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ODomain V_r T_a T_a))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Osingle__valued (tptp.c_Relation_OId__on V_A T_a) T_a T_a)) (forall ((V_e $$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_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_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_s $$unsorted) (V_a $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_a _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_e $$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 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair (tptp.c_Expr_Oexp_Othrow V_e_H _let_2) V_s_H _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_x $$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_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) (T_a $$unsorted) (V_r $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Relation_Orefl__on V_A V_r T_a)))) (forall ((V_xa $$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_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_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 $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_a $$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_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_a T_b) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_b $$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_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted)) (or (tptp.c_in V_y V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_Equiv__Relations_Oequiv V_A V_r T_a)))) (forall ((V_x $$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_x $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a)) (not (tptp.c_in V_x V_A T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (tptp.c_in V_x V_A T_a) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Relation_OId__on V_A T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a) (not (tptp.c_in (tptp.c_Pair V_x V_b T_b T_a) V_r (tptp.tc_prod T_b T_a))) (not (tptp.c_in V_x V_A T_b)))) (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_a T_b) T_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_y $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_y _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_y V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_a _let_1 T_a))))) (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Wellfounded_Oacc V_r T_a))) (or (tptp.c_in V_a _let_1 T_a) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (tptp.c_in V_b _let_1 T_a))))) (forall ((V_a $$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 $$unsorted)) (or (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Product__Type_OSigma V_A V_B T_a T_b) (tptp.tc_prod T_a T_b)) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))) _let_15 (forall ((V_P $$unsorted) (V_E $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_prod (tptp.tc_List_Olist _let_1) _let_2))) (let ((_let_4 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_5 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_4)))) (tptp.tc_fun _let_1 _let_4)))) (let ((_let_6 (tptp.tc_prod _let_2 _let_5))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P _let_3) (tptp.v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1 V_E V_P V_T V_e_H V_s_H)) V_T)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_2 _let_5) (tptp.c_Pair V_e_H V_s_H _let_2 _let_5) _let_6 _let_6) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_6 _let_6))) (not (tptp.c_WellForm_Owf__prog tptp.c_JWellForm_Owf__J__mdecl V_P _let_3)))))))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r _let_1))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 V_a V_b V_r T_a) T_a T_a) _let_2 _let_1) (= V_a V_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 V_P V_b V_r T_a)))) (not (tptp.hBOOL (tptp.hAPP V_P V_b))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_a1 $$unsorted) (V_a2 $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (tptp.c_in (tptp.c_Pair (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 V_a1 V_a2 V_r) V_a2 tptp.t_a tptp.t_a) V_r _let_1) (= V_a2 V_a1) (not (tptp.c_in (tptp.c_Pair V_a1 V_a2 tptp.t_a tptp.t_a) (tptp.c_Transitive__Closure_Ortrancl V_r tptp.t_a) _let_1))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_b)) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 V_P V_a V_r T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1)) (= V_x V_y))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_x V_y T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1) (= V_x V_y) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1)))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_a V_b T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_R T_a) _let_1) (= V_a V_b) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_R T_a) _let_1)))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_y V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Relation_Oconverse V_r T_a T_a) T_a) _let_1))))) (forall ((V_a1 $$unsorted) (V_a2 $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r tptp.t_a))) (or (tptp.c_in (tptp.c_Pair V_a1 (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 V_a1 V_a2 V_r) tptp.t_a tptp.t_a) _let_2 _let_1) (= V_a2 V_a1) (not (tptp.c_in (tptp.c_Pair V_a1 V_a2 tptp.t_a tptp.t_a) _let_2 _let_1)))))) (forall ((V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_z V_y T_a T_a) _let_2 _let_1) (tptp.c_in (tptp.c_Pair V_y V_z T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) _let_2 _let_1)) (not (tptp.c_Relation_Osingle__valued V_r T_a T_a)))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_b)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 V_P V_a V_r T_a)))) (not (tptp.hBOOL (tptp.hAPP V_P V_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_b)) (tptp.c_in (tptp.c_Pair V_a (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 V_P V_a V_r T_a) T_a T_a) _let_2 _let_1) (not (tptp.hBOOL (tptp.hAPP V_P V_a))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Pair V_a V_b T_a T_a))) (or (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1) (not (tptp.c_in _let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a) _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Otrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_y V_z T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 V_P V_b V_r T_a) V_b T_a T_a) _let_2 _let_1) (not (tptp.hBOOL (tptp.hAPP V_P V_b))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_a)) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 V_P V_b V_r T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_b))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))) (forall ((V_x $$unsorted) (V_r $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair V_x (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 V_r V_x V_z T_a) T_a T_a) V_r _let_1) (= V_x V_z) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) (forall ((V_r $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 V_r V_x V_z T_a) V_z T_a T_a) _let_2 _let_1) (= V_x V_z) (not (tptp.c_in (tptp.c_Pair V_x V_z T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 V_a V_b V_r T_a) V_b T_a T_a) V_r _let_1) (= V_a V_b) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1))))) _let_14 (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (V_vs $$unsorted) (V_Ts_H $$unsorted) (V_Ts $$unsorted)) (let ((_let_1 (tptp.c_Conform_Oconf V_P V_h T_a))) (or (tptp.c_List_Olist__all2 _let_1 V_vs V_Ts_H tptp.tc_Value_Oval tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P T_a) V_Ts V_Ts_H tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_List_Olist__all2 _let_1 V_vs V_Ts tptp.tc_Value_Oval tptp.tc_Type_Oty))))) (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (or (= V_x V_y) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in V_x (tptp.c_Relation_ODomain V_R T_a T_a) T_a))) (forall ((V_x $$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_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_x $$unsorted) (V_y_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted) (V_P $$unsorted) (V_R $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_b))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_x V_y_H T_a T_b) (tptp.c_Pair V_x V_y 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$$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) 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_let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_C $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (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 $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OCall V_e_H V_M V_es _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H 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(tptp.c_Pair (tptp.c_Expr_Oexp_OFAcc V_e_H V_F V_D _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OFAss V_e_H V_F V_D V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= V_xs V_ys) (not (tptp.c_List_Olist__all2 (tptp.c_fequal T_a) V_xs V_ys T_a T_a)))) (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBI V_P T_a) V_P)) (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.c_in V_x V_S T_a)))) (forall ((V_x $$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_P $$unsorted) (V_E $$unsorted) (V_s_H $$unsorted) (V_s $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_e_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (or (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s_H) (not (tptp.c_TypeSafe__Mirabelle_Osconf V_P V_E V_s)) (not (tptp.c_WellTypeRT_OWTrt V_P (tptp.c_State_Ohp V_s) V_E V_e V_T)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)))))))))) _let_12 (forall ((V_p $$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_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_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$unsorted) (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 $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_a $$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 $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.c_List_Olist__all2 (tptp.c_fequal T_a) V_x V_x T_a T_a)) (forall ((V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (= (tptp.c_Transitive__Closure_Ortrancl _let_1 T_a) _let_1))) _let_11 _let_9 _let_10 (forall ((V_P $$unsorted) (T_a $$unsorted) (V_T $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P T_a) V_T) V_T))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_S $$unsorted) (V_T $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.c_TypeRel_Owiden V_P T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_S))) (or (tptp.hBOOL (tptp.hAPP _let_2 V_T)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_1 V_U) V_T))) (not (tptp.hBOOL (tptp.hAPP _let_2 V_U))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (V_v $$unsorted) (V_T_H $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Conform_Oconf V_P V_h T_a) V_v))) (or (tptp.hBOOL (tptp.hAPP _let_1 V_T_H)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P T_a) V_T) V_T_H))) (not (tptp.hBOOL (tptp.hAPP _let_1 V_T)))))) (= (tptp.c_COMBI tptp.v_P tptp.t_a) tptp.v_P) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_Ss $$unsorted) (V_Us $$unsorted) (V_Ts $$unsorted)) (let ((_let_1 (tptp.c_TypeRel_Owiden V_P T_a))) (or (tptp.c_List_Olist__all2 _let_1 V_Ss V_Us tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 _let_1 V_Ts V_Us tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_List_Olist__all2 _let_1 V_Ss V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty))))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P T_a) V_xs V_xs tptp.tc_Type_Oty tptp.tc_Type_Oty)) _let_9 _let_2 _let_1 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_x) V_x))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_X) V_Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 33.78/34.15 )
% 33.78/34.16 % SZS output end Proof for SWV990-1
% 33.78/34.16 % cvc5---1.0.5 exiting
% 33.78/34.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------