TSTP Solution File: SWV957-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 21:53:53 EDT 2023
% Result : Unsatisfiable 0.23s 0.68s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% 0.17/0.16 % Command : do_cvc5 %s %d
% 0.17/0.37 % Computer : n001.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Tue Aug 29 11:24:22 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZQVCXZMMQX/cvc5---1.0.5_31472.p...
% 0.23/0.58 ------- get file name : TPTP file name is SWV957-1
% 0.23/0.58 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31472.smt2...
% 0.23/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.68 % SZS status Unsatisfiable for SWV957-1
% 0.23/0.68 % SZS output start Proof for SWV957-1
% 0.23/0.69 (
% 0.23/0.69 (let ((_let_1 (tptp.c_Type_Oty_OClass tptp.v_C_H____))) (let ((_let_2 (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_e_Ha____ _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_e_Ha____ tptp.v_U____))) (let ((_let_5 (= tptp.v_U____ _let_1))) (let ((_let_6 (tptp.v_sko__unknown__thm__BwWZ__1 tptp.v_D____ tptp.v_E____ tptp.v_F____ tptp.v_P tptp.v_T____ tptp.v_e_Ha____ tptp.v_e_092_060_094isub_0622____ tptp.v_h_Ha____))) (let ((_let_7 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_8 (not (= tptp.v_U____ tptp.c_Type_Oty_ONT)))) (let ((_let_9 (tptp.c_Type_Oty_OClass tptp.v_C____))) (let ((_let_10 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_11 (tptp.tc_prod (tptp.tc_List_Olist _let_7) (tptp.tc_Expr_Oexp _let_7)))) (let ((_let_12 (ASSUME :args (_let_5)))) (let ((_let_13 (ASSUME :args (_let_4)))) (let ((_let_14 (and _let_5 _let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_14)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_13 _let_12) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.v_P)) (REFL :args (tptp.v_h_Ha____)) (REFL :args (tptp.v_E____)) (REFL :args (tptp.v_e_Ha____)) (SYMM _let_12) :args (APPLY_UF tptp.c_WellTypeRT_OWTrt)) (TRUE_INTRO _let_13))) :args (_let_4 _let_5))) :args (_let_5 _let_4))) :args (true _let_14)) :args ((or _let_2 (not _let_5) (not _let_4)))) (ASSUME :args (_let_3)) _let_13 _let_12 :args (false true _let_2 false _let_4 false _let_5)) :args ((forall ((V_T $$unsorted) (V_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_F $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (= V_T tptp.c_Type_Oty_OVoid) (tptp.c_TypeRel_Ohas__field V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v) V_F (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_TypeRel_Ohas__field V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v) V_F (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 V_D V_E V_F V_P V_e V_h V_v) V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v _let_1) V_T))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_a $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E V_a (tptp.c_Type_Oty_OClass (tptp.c_WellType_Osko__WellType__XWT__elim__cases__7__1 V_D V_E V_F V_P V_T V_a))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAcc V_a V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_v $$unsorted)) (or (= V_v (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xnchotomy__1__1 V_v))) (= V_v tptp.c_Type_Oty_ONT) (= V_v tptp.c_Type_Oty_OInteger) (= V_v tptp.c_Type_Oty_OBoolean) (= V_v tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_ty $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_ty)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xinduct__1 V_P))))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_ONT))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OInteger))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OBoolean))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OVoid))))) (forall ((V_y $$unsorted)) (or (= V_y (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xexhaust__1__1 V_y))) (= V_y tptp.c_Type_Oty_ONT) (= V_y tptp.c_Type_Oty_OInteger) (= V_y tptp.c_Type_Oty_OBoolean) (= V_y tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_ty $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_ty)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xinducts__1 V_P))))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_ONT))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OInteger))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OBoolean))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OVoid))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_TypeRel_Ohas__field V_P (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 V_D V_E V_F V_P V_T V_e V_h) V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 V_D V_E V_F V_P V_T V_e V_h))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_v $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass (tptp.c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 V_D V_E V_F V_P V_e V_h V_v))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_WellType_OWT V_P V_E V_e (tptp.c_Type_Oty_OClass V_C)))))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_F $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_TypeRel_Osees__field V_P V_D V_F V_T V_D T_a) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (forall ((V_P $$unsorted) (V_C $$unsorted) (V_F $$unsorted) (V_T $$unsorted) (V_D $$unsorted) (T_a $$unsorted)) (or (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D T_a) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_F $$unsorted) (V_T $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Osees__field V_P (tptp.c_WellType_Osko__WellType__XWT__elim__cases__7__1 V_D V_E V_F V_P V_T V_a) V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAcc V_a V_F V_D _let_1) V_T))))) (forall ((V_T_H $$unsorted) (V_T $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_F $$unsorted) (V_D_H $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (= V_T_H V_T) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T_H V_D_H T_a)) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (forall ((V_D_H $$unsorted) (V_D $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_F $$unsorted) (V_T_H $$unsorted) (T_a $$unsorted) (V_T $$unsorted)) (or (= V_D_H V_D) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T_H V_D_H T_a)) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D T_a)))) (forall ((V_P $$unsorted) (V_ty $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_ty)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_OClass (tptp.v_sko__Value__Xdefault__val__Xinduct__1 V_P))))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_ONT))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OInteger))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OBoolean))) (not (tptp.hBOOL (tptp.hAPP V_P tptp.c_Type_Oty_OVoid))))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_H $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) tptp.c_Type_Oty_OVoid) (not (tptp.c_TypeRel_Owiden V_P V_T_H V_T _let_2)) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0622 V_T_H)) (not (tptp.c_TypeRel_Osees__field V_P V_C V_F V_T V_D _let_2)) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0621 (tptp.c_Type_Oty_OClass V_C))))))) (tptp.c_TypeRel_Owiden tptp.v_P tptp.v_U____ _let_9 _let_11) (forall ((V_f5 $$unsorted) (V_x $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_x V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_g3 V_g4 V_g5 V_x T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_xa $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= V_xa tptp.c_Type_Oty_OBoolean) (= V_xa tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_x V_f4 V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_x V_g4 V_g5 V_xa T_a)) (= V_xa (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))) (= V_xa tptp.c_Type_Oty_ONT))) (forall ((V_xa $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted) (V_g5 $$unsorted)) (or (= V_xa tptp.c_Type_Oty_OInteger) (= V_xa tptp.c_Type_Oty_OBoolean) (= V_xa tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_x V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_g3 V_x V_g5 V_xa T_a)) (= V_xa (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_x $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= (tptp.c_Type_Oty_Oty__case V_x V_f2 V_f3 V_f4 V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_x V_g2 V_g3 V_g4 V_g5 V_xa T_a)) (= V_xa (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))) (= V_xa tptp.c_Type_Oty_ONT) (= V_xa tptp.c_Type_Oty_OInteger) (= V_xa tptp.c_Type_Oty_OBoolean))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_xa $$unsorted) (V_f1 $$unsorted) (V_x $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= V_xa tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_x V_f3 V_f4 V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_x V_g3 V_g4 V_g5 V_xa T_a)) (= V_xa (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))) (= V_xa tptp.c_Type_Oty_ONT) (= V_xa tptp.c_Type_Oty_OInteger))) (forall ((V_f5 $$unsorted) (V_xa $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xa tptp.c_Type_Oty_ONT) (= V_xa tptp.c_Type_Oty_OBoolean) (= V_xa tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_x V_f4 V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_x V_g4 V_g5 V_xa T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_f5 $$unsorted) (V_xa $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xa tptp.c_Type_Oty_OInteger) (= V_xa tptp.c_Type_Oty_OBoolean) (= V_xa tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_x V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_g3 V_x V_g5 V_xa T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_f5 $$unsorted) (V_xa $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xa tptp.c_Type_Oty_ONT) (= V_xa tptp.c_Type_Oty_OInteger) (= V_xa tptp.c_Type_Oty_OBoolean) (= (tptp.c_Type_Oty_Oty__case V_x V_f2 V_f3 V_f4 V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_x V_g2 V_g3 V_g4 V_g5 V_xa T_a))))) (forall ((V_f5 $$unsorted) (V_xa $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_x $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_g1 $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xa V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xa tptp.c_Type_Oty_ONT) (= V_xa tptp.c_Type_Oty_OInteger) (= V_xa tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_x V_f3 V_f4 V_f5 V_xa T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_x V_g3 V_g4 V_g5 V_xa T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_xb $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g5 $$unsorted)) (or (= V_xb tptp.c_Type_Oty_OBoolean) (= V_xb tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_xa V_x V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_xa V_x V_g5 V_xb T_a)) (= V_xb (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xb $$unsorted) (V_xa $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g2 $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= V_xb tptp.c_Type_Oty_OBoolean) (= (tptp.c_Type_Oty_Oty__case V_xa V_f2 V_x V_f4 V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_xa V_g2 V_x V_g4 V_g5 V_xb T_a)) (= V_xb (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (= V_xb tptp.c_Type_Oty_ONT))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xb $$unsorted) (V_xa $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted) (V_g5 $$unsorted)) (or (= V_xb tptp.c_Type_Oty_OInteger) (= V_xb tptp.c_Type_Oty_OBoolean) (= (tptp.c_Type_Oty_Oty__case V_xa V_f2 V_f3 V_x V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_xa V_g2 V_g3 V_x V_g5 V_xb T_a)) (= V_xb (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_xb $$unsorted) (V_f1 $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= V_xb tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_xa V_x V_f4 V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_xa V_x V_g4 V_g5 V_xb T_a)) (= V_xb (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (= V_xb tptp.c_Type_Oty_ONT))) (forall ((V_xb $$unsorted) (V_f1 $$unsorted) (V_xa $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g3 $$unsorted) (V_g5 $$unsorted)) (or (= V_xb tptp.c_Type_Oty_OInteger) (= V_xb tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_xa V_f3 V_x V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_xa V_g3 V_x V_g5 V_xb T_a)) (= V_xb (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xa $$unsorted) (V_x $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_xb $$unsorted) (T_a $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= (tptp.c_Type_Oty_Oty__case V_xa V_x V_f3 V_f4 V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_xa V_x V_g3 V_g4 V_g5 V_xb T_a)) (= V_xb (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (= V_xb tptp.c_Type_Oty_ONT) (= V_xb tptp.c_Type_Oty_OInteger))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_f5 $$unsorted) (V_xb $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xb tptp.c_Type_Oty_OBoolean) (= V_xb tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_xa V_x V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_xa V_x V_g5 V_xb T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_f5 $$unsorted) (V_xb $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_f2 $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_g2 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xb tptp.c_Type_Oty_ONT) (= V_xb tptp.c_Type_Oty_OBoolean) (= (tptp.c_Type_Oty_Oty__case V_xa V_f2 V_x V_f4 V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_xa V_g2 V_x V_g4 V_g5 V_xb T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_f5 $$unsorted) (V_xb $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xb tptp.c_Type_Oty_OInteger) (= V_xb tptp.c_Type_Oty_OBoolean) (= (tptp.c_Type_Oty_Oty__case V_xa V_f2 V_f3 V_x V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_xa V_g2 V_g3 V_x V_g5 V_xb T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_f5 $$unsorted) (V_xb $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_g1 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xb tptp.c_Type_Oty_ONT) (= V_xb tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_xa V_x V_f4 V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_xa V_x V_g4 V_g5 V_xb T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_f5 $$unsorted) (V_xb $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_xa $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_g1 $$unsorted) (V_g3 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xb tptp.c_Type_Oty_OInteger) (= V_xb tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_xa V_f3 V_x V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_xa V_g3 V_x V_g5 V_xb T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_f5 $$unsorted) (V_xb $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xb V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xb tptp.c_Type_Oty_ONT) (= V_xb tptp.c_Type_Oty_OInteger) (= (tptp.c_Type_Oty_Oty__case V_xa V_x V_f3 V_f4 V_f5 V_xb T_a) (tptp.c_Type_Oty_Oty__case V_xa V_x V_g3 V_g4 V_g5 V_xb T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xc $$unsorted) (V_xb $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g2 $$unsorted) (V_g5 $$unsorted)) (or (= V_xc tptp.c_Type_Oty_OBoolean) (= (tptp.c_Type_Oty_Oty__case V_xb V_f2 V_xa V_x V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_xb V_g2 V_xa V_x V_g5 V_xc T_a)) (= V_xc (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xc $$unsorted) (V_f1 $$unsorted) (V_xb $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g5 $$unsorted)) (or (= V_xc tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_xb V_xa V_x V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_xb V_xa V_x V_g5 V_xc T_a)) (= V_xc (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xb $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_xc $$unsorted) (T_a $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= (tptp.c_Type_Oty_Oty__case V_xb V_xa V_x V_f4 V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_xb V_xa V_x V_g4 V_g5 V_xc T_a)) (= V_xc (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))) (= V_xc tptp.c_Type_Oty_ONT))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xc $$unsorted) (V_xb $$unsorted) (V_xa $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted) (V_g3 $$unsorted) (V_g5 $$unsorted)) (or (= V_xc tptp.c_Type_Oty_OInteger) (= (tptp.c_Type_Oty_Oty__case V_xb V_xa V_f3 V_x V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_xb V_xa V_g3 V_x V_g5 V_xc T_a)) (= V_xc (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_f5 $$unsorted) (V_xc $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_xb $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_g2 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xc tptp.c_Type_Oty_OBoolean) (= (tptp.c_Type_Oty_Oty__case V_xb V_f2 V_xa V_x V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_xb V_g2 V_xa V_x V_g5 V_xc T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x tptp.c_Type_Oty_OBoolean) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_f5 $$unsorted) (V_xc $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_xb $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_g1 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xc tptp.c_Type_Oty_OVoid) (= (tptp.c_Type_Oty_Oty__case V_f1 V_xb V_xa V_x V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_xb V_xa V_x V_g5 V_xc T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (= V_x tptp.c_Type_Oty_ONT) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_f5 $$unsorted) (V_xc $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_xb $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f4 $$unsorted) (V_g4 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xc tptp.c_Type_Oty_ONT) (= (tptp.c_Type_Oty_Oty__case V_xb V_xa V_x V_f4 V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_xb V_xa V_x V_g4 V_g5 V_xc T_a))))) (forall ((V_f5 $$unsorted) (V_xc $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_xb $$unsorted) (V_xa $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (V_g3 $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xc V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= V_xc tptp.c_Type_Oty_OInteger) (= (tptp.c_Type_Oty_Oty__case V_xb V_xa V_f3 V_x V_f5 V_xc T_a) (tptp.c_Type_Oty_Oty__case V_xb V_xa V_g3 V_x V_g5 V_xc T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (= V_x tptp.c_Type_Oty_OInteger) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (tptp.c_TypeRel_Owiden V_P tptp.c_Type_Oty_ONT (tptp.c_Type_Oty_OClass V_C) T_a)) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_xc $$unsorted) (V_xb $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (V_f5 $$unsorted) (V_xd $$unsorted) (T_a $$unsorted) (V_g5 $$unsorted)) (or (= (tptp.c_Type_Oty_Oty__case V_xc V_xb V_xa V_x V_f5 V_xd T_a) (tptp.c_Type_Oty_Oty__case V_xc V_xb V_xa V_x V_g5 V_xd T_a)) (= V_xd (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xd V_f5 V_g5 T_a))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (tptp.c_TypeRel_Owiden tptp.v_P tptp.v_T_092_060_094isub_0622____ tptp.v_TF____ _let_11) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f4))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P V_f2))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))) (forall ((V_f5 $$unsorted) (V_xd $$unsorted) (V_g5 $$unsorted) (T_a $$unsorted) (V_xc $$unsorted) (V_xb $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_xd V_f5 V_g5 T_a))) (or (not (= (tptp.hAPP V_f5 _let_1) (tptp.hAPP V_g5 _let_1))) (= (tptp.c_Type_Oty_Oty__case V_xc V_xb V_xa V_x V_f5 V_xd T_a) (tptp.c_Type_Oty_Oty__case V_xc V_xb V_xa V_x V_g5 V_xd T_a))))) (forall ((V_P $$unsorted) (V_T $$unsorted) (T_a $$unsorted)) (tptp.c_TypeRel_Owiden V_P V_T V_T T_a)) (forall ((V_P $$unsorted) (V_S $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_U $$unsorted)) (or (tptp.c_TypeRel_Owiden V_P V_S V_T T_a) (not (tptp.c_TypeRel_Owiden V_P V_U V_T T_a)) (not (tptp.c_TypeRel_Owiden V_P V_S V_U T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) tptp.c_Type_Oty_OVoid) (not (tptp.c_TypeRel_Owiden V_P V_T_092_060_094isub_0622 V_T _let_2)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D _let_2)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0621 (tptp.c_Type_Oty_OClass V_C))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 _let_1) tptp.c_Type_Oty_OVoid) (not (tptp.c_TypeRel_Owiden V_P V_T_092_060_094isub_0622 V_T _let_2)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D _let_2)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0621 (tptp.c_Type_Oty_OClass V_C))))))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted) (V_g4 $$unsorted) (V_g5 $$unsorted)) (or (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x T_a) (tptp.c_Type_Oty_Oty__case V_g1 V_g2 V_g3 V_g4 V_g5 V_x T_a)) (= V_x (tptp.c_Type_Oty_OClass (tptp.c_Type_Osko__Type__Xty__Xcase__cong__1__1 V_x V_f5 V_g5 T_a))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 V_x tptp.t_a))) (= V_x (tptp.c_Type_Oty_OClass (tptp.v_sko__Type__Xty__Xsplit__asm__1 V_P V_f5 V_x))) (= V_x tptp.c_Type_Oty_ONT) (= V_x tptp.c_Type_Oty_OInteger) (= V_x tptp.c_Type_Oty_OBoolean) (= V_x tptp.c_Type_Oty_OVoid))) (tptp.c_TypeRel_Ohas__field tptp.v_P tptp.v_C____ tptp.v_F____ tptp.v_TF____ tptp.v_D____ _let_11) (forall ((V_Ea $$unsorted) (V_Ta $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Owiden tptp.v_P (tptp.v_sko__local__XIH__1 V_Ea tptp.v_P V_Ta tptp.v_e_Ha____ tptp.v_h_Ha____) V_Ta (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_Ea tptp.v_ea____ V_Ta)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_Ea (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Owiden tptp.v_P (tptp.v_sko__local__XFAssRed1__Xhyps__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____) V_T (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_TypeRel_Owiden tptp.v_P (tptp.v_sko__local__XFAssRed1__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____) V_T (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (or _let_8 (tptp.c_TypeRel_Owiden tptp.v_P _let_6 tptp.v_T____ _let_11)) (forall ((V_T $$unsorted)) (or (= V_T tptp.c_Type_Oty_OInteger) (= V_T tptp.c_Type_Oty_OBoolean) (= V_T tptp.c_Type_Oty_OVoid) (tptp.c_Type_Ois__refT V_T))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OVoid tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P V_f1)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OBoolean tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P V_f2)))) (tptp.c_Type_Ois__refT tptp.c_Type_Oty_ONT) (not (= tptp.c_Type_Oty_OVoid tptp.c_Type_Oty_ONT)) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (not (= tptp.c_Type_Oty_OBoolean tptp.c_Type_Oty_ONT)) (forall ((V_list $$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_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_list V_list_H))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OBoolean T_a) V_f2)) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_a $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted)) (or (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OFAss V_a V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (not (= tptp.c_Type_Oty_OInteger tptp.c_Type_Oty_OBoolean)) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (not (= tptp.c_Type_Oty_OVoid tptp.c_Type_Oty_OInteger)) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_Onew V_list_H T_a))) (= V_list V_list_H))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_h $$unsorted)) (tptp.c_Objects_Ohext V_h V_h)) (forall ((V_h $$unsorted) (V_h_H_H $$unsorted) (V_h_H $$unsorted)) (or (tptp.c_Objects_Ohext V_h V_h_H_H) (not (tptp.c_Objects_Ohext V_h_H V_h_H_H)) (not (tptp.c_Objects_Ohext V_h V_h_H)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e (tptp.c_Type_Oty_OClass V_C)))))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__rec V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OInteger T_a) V_f3)) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ (tptp.c_Expr_Oexp_OFAss tptp.v_ea____ tptp.v_F____ tptp.v_D____ tptp.v_e_092_060_094isub_0622____ _let_7) tptp.v_T____) (not (= tptp.c_Type_Oty_ONT tptp.c_Type_Oty_OBoolean)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT) (= V_T tptp.c_Type_Oty_OVoid) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBI V_P T_a) V_P)) (forall ((V_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_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (not (= tptp.c_Type_Oty_OInteger tptp.c_Type_Oty_OVoid)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_C $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OCast V_C V_e _let_1) (tptp.c_Type_Oty_OClass V_C)) (not (tptp.c_Decl_Ois__class V_P V_C (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_Type_Ois__refT V_T)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T))))) (not (= tptp.c_Type_Oty_OInteger tptp.c_Type_Oty_ONT)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_Onew V_C _let_1) (tptp.c_Type_Oty_OClass V_C)) (not (tptp.c_Decl_Ois__class V_P V_C (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))))))) (forall ((V_list_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_ONT T_a) V_f4)) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OInteger T_a) V_f3)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_C $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OCast V_C V_e _let_1) (tptp.c_Type_Oty_OClass V_C)) (not (tptp.c_Decl_Ois__class V_P V_C (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_Type_Ois__refT V_T)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e V_T))))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Map_Omap__le V_f V_f T_a T_b)) (forall ((V_m1 $$unsorted) (V_m3 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m2 $$unsorted)) (or (tptp.c_Map_Omap__le V_m1 V_m3 T_a T_b) (not (tptp.c_Map_Omap__le V_m2 V_m3 T_a T_b)) (not (tptp.c_Map_Omap__le V_m1 V_m2 T_a T_b)))) (forall ((V_P $$unsorted) (V_E_H $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_E $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E_H V_e V_T) (not (tptp.c_Map_Omap__le V_E V_E_H (tptp.tc_List_Olist tptp.tc_String_Ochar) tptp.tc_Type_Oty)) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_Onew V_C _let_1) (tptp.c_Type_Oty_OClass V_C)) (not (tptp.c_Decl_Ois__class V_P V_C (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))))))) (forall ((V_T $$unsorted) (V_D $$unsorted) (V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted)) (or (= V_T (tptp.c_Type_Oty_OClass V_D)) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OCast V_D V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (not (= tptp.c_Type_Oty_OVoid tptp.c_Type_Oty_OBoolean)) (forall ((V_P $$unsorted) (V_C $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Decl_Ois__class V_P V_C (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_Onew V_C _let_1) V_T))))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Decl_Ois__class V_P V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OCast V_D V_e _let_1) V_T))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT)))) (= tptp.v_T____ tptp.c_Type_Oty_OVoid) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e tptp.c_Type_Oty_ONT)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_ONT tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P V_f4)))) (not (= tptp.c_Type_Oty_ONT tptp.c_Type_Oty_OVoid)) (not (= tptp.c_Type_Oty_OBoolean tptp.c_Type_Oty_OInteger)) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__rec V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_ONT T_a) V_f4)) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= V_f V_g) (not (tptp.c_Map_Omap__le V_g V_f T_a T_b)) (not (tptp.c_Map_Omap__le V_f V_g T_a T_b)))) (forall ((V_T $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_v $$unsorted)) (let ((_let_1 (= V_T tptp.c_Type_Oty_OVoid))) (or _let_1 _let_1 (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e V_F V_D V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T))))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OInteger tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P V_f3)))) (forall ((V_T $$unsorted) (V_C $$unsorted) (V_P $$unsorted) (V_E $$unsorted)) (or (= V_T (tptp.c_Type_Oty_OClass V_C)) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_Onew V_C (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (not (= tptp.c_Type_Oty_OBoolean tptp.c_Type_Oty_OVoid)) (forall ((V_P $$unsorted) (V_C $$unsorted) (V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Decl_Ois__class V_P V_C (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_Onew V_C _let_1) V_T))))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) tptp.c_Type_Oty_OVoid) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0621 tptp.c_Type_Oty_ONT)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0621 $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OVoid T_a) V_f1)) (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)))) (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P tptp.v_E____ (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_7 (tptp.tc_fun (tptp.tc_prod _let_7 _let_7) _let_10)))) (tptp.tc_fun _let_7 _let_10))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__rec V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OBoolean T_a) V_f2)) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0621 $$unsorted)) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellType_OWT V_P V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__rec V_f1 V_f2 V_f3 V_f4 V_f5 tptp.c_Type_Oty_OVoid T_a) V_f1)) (not (= tptp.c_Type_Oty_ONT tptp.c_Type_Oty_OInteger)) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_T_092_060_094isub_0622 $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) tptp.c_Type_Oty_OVoid) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0621 tptp.c_Type_Oty_ONT)))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_Decl_Ois__class V_P V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OCast V_D V_e _let_1) V_T))))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_T $$unsorted) (V_D $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted)) (or (= V_T (tptp.c_Type_Oty_OClass V_D)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OCast V_D V_e (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_list_H $$unsorted)) (not (= tptp.c_Type_Oty_OVoid (tptp.c_Type_Oty_OClass V_list_H)))) _let_5 (forall ((V_list_H $$unsorted)) (not (= tptp.c_Type_Oty_ONT (tptp.c_Type_Oty_OClass V_list_H)))) (forall ((V_list_H $$unsorted)) (not (= tptp.c_Type_Oty_OInteger (tptp.c_Type_Oty_OClass V_list_H)))) (forall ((V_list_H $$unsorted)) (not (= (tptp.c_Type_Oty_OClass V_list_H) tptp.c_Type_Oty_OBoolean))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_list $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 (tptp.c_Type_Oty_OClass V_list) T_a) (tptp.hAPP V_f5 V_list))) (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 $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T_092_060_094isub_0622) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0622 V_T_092_060_094isub_0622)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e_092_060_094isub_0621 V_T_092_060_094isub_0621)))) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ tptp.v_T_092_060_094isub_0622____) (forall ((V_Ea $$unsorted) (V_Ta $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ V_Ea tptp.v_e_Ha____ (tptp.v_sko__local__XIH__1 V_Ea tptp.v_P V_Ta tptp.v_e_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_Ea tptp.v_ea____ V_Ta)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_Ea (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_Onew V_C _let_1) (tptp.c_Type_Oty_OClass V_C)) (not (tptp.c_Decl_Ois__class V_P V_C (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))))))) (forall ((V_T $$unsorted) (V_C $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted)) (or (= V_T (tptp.c_Type_Oty_OClass V_C)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_Onew V_C (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T)))) (forall ((V_list_H $$unsorted)) (not (= (tptp.c_Type_Oty_OClass V_list_H) tptp.c_Type_Oty_OVoid))) _let_4 (forall ((V_list $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_Type_Oty_OClass V_list) (tptp.c_Type_Oty_OClass V_list_H))) (= V_list V_list_H))) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_ea____ _let_9) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E_H $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_E $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E_H V_e V_T) (not (tptp.c_Map_Omap__le V_E V_E_H (tptp.tc_List_Olist tptp.tc_String_Ochar) tptp.tc_Type_Oty)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_list $$unsorted) (T_a $$unsorted)) (= (tptp.c_Type_Oty_Oty__rec V_f1 V_f2 V_f3 V_f4 V_f5 (tptp.c_Type_Oty_OClass V_list) T_a) (tptp.hAPP V_f5 V_list))) (forall ((V_list_H $$unsorted)) (not (= (tptp.c_Type_Oty_OClass V_list_H) tptp.c_Type_Oty_OInteger))) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ V_E tptp.v_e_Ha____ (tptp.v_sko__local__XFAssRed1__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e V_T) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e V_T)))) (forall ((V_list_H $$unsorted)) (not (= tptp.c_Type_Oty_OBoolean (tptp.c_Type_Oty_OClass V_list_H)))) (or _let_8 (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ tptp.v_E____ (tptp.c_Expr_Oexp_OFAss tptp.v_e_Ha____ tptp.v_F____ tptp.v_D____ tptp.v_e_092_060_094isub_0622____ _let_7) _let_6)) (forall ((V_list_H $$unsorted)) (not (= (tptp.c_Type_Oty_OClass V_list_H) tptp.c_Type_Oty_ONT))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_h $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h_H V_E V_e V_T) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_xa $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 (tptp.c_Type_Oty_OClass V_xa) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 V_xa))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_list $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Type_Oty_Oty__case V_f1 V_f2 V_f3 V_f4 V_f5 (tptp.c_Type_Oty_OClass V_list) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f5 V_list))))) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_e_092_060_094isub_0622____ tptp.v_T_092_060_094isub_0622____) (= (tptp.c_COMBI tptp.v_P tptp.t_a) tptp.v_P) (forall ((V_E $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ V_E tptp.v_e_Ha____ (tptp.v_sko__local__XFAssRed1__Xhyps__2__1 V_E tptp.v_P V_T tptp.v_e_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ V_E tptp.v_ea____ V_T)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_x $$unsorted)) (tptp.c_Type_Ois__refT (tptp.c_Type_Oty_OClass V_x))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_T $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D _let_1) V_T) (not (tptp.c_TypeRel_Ohas__field V_P V_C V_F V_T V_D (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1)))) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass V_C)))))) _let_5 _let_4 _let_3 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)) (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))))))))))))))))))
% 0.23/0.69 )
% 0.23/0.69 % SZS output end Proof for SWV957-1
% 0.23/0.70 % cvc5---1.0.5 exiting
% 0.23/0.70 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------