%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV972-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:53:56 EDT 2023

% Result   : Unsatisfiable 0.24s 0.85s
% Output   : Proof 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16  % Problem    : SWV972-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.17  % Command    : do_cvc5 %s %d
% 0.17/0.38  % Computer : n025.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Tue Aug 29 03:30:25 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.24/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Zqxz7ISFBY/cvc5---1.0.5_14071.p...
% 0.24/0.64  ------- get file name : TPTP file name is SWV972-1
% 0.24/0.64  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14071.smt2...
% 0.24/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.24/0.85  % SZS status Unsatisfiable for SWV972-1
% 0.24/0.85  % SZS output start Proof for SWV972-1
% 0.24/0.87  (
% 0.24/0.87  (let ((_let_1 (not tptp.v_thesis____))) (let ((_let_2 (tptp.v_sko__CHAINED__1 tptp.v_E____ tptp.v_P tptp.v_Us____ tptp.v_es_Ha____ tptp.v_h_Ha____))) (let ((_let_3 (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_es_Ha____ _let_2))) (let ((_let_4 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_5 (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_4) (tptp.tc_Expr_Oexp _let_4))))) (let ((_let_6 (tptp.c_List_Olist__all2 _let_5 _let_2 tptp.v_Us____ tptp.tc_Type_Oty tptp.tc_Type_Oty))) (let ((_let_7 (tptp.c_Type_Oty_OClass tptp.v_C____))) (let ((_let_8 (tptp.c_Expr_Oexp_OVal tptp.v_v____ _let_4))) (let ((_let_9 (forall ((V_Us_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or tptp.v_thesis____ (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) V_Us_H tptp.v_Us____ tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_es_Ha____ V_Us_H))))))) (let ((_let_10 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_11 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (let ((_let_12 (forall ((V_Us_H $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) V_Us_H tptp.v_Us____ tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_es_Ha____ V_Us_H))))))) (let ((_let_13 (not _let_3))) (let ((_let_14 (not _let_6))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (not _let_15))) (let ((_let_17 (_let_12))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_17) :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_List_Olist__all2 _let_5 V_Us_H tptp.v_Us____ tptp.tc_Type_Oty tptp.tc_Type_Oty) false))))) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_13 _let_16))) (ASSUME :args (_let_6)) (ASSUME :args (_let_3)) :args (_let_16 false _let_6 false _let_3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_1)) :args (_let_12 true tptp.v_thesis____)) :args (false true _let_15 false _let_12)) :args ((forall ((V_m $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oreplicate V_m V_x T_a) (tptp.c_List_Oreplicate V_n V_y T_a))) (= V_m V_n))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat))) (or (not (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) _let_1) V_x)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals _let_1 (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts_H $$unsorted) (V_Ts $$unsorted) (V_C $$unsorted) (V_pns $$unsorted) (V_body $$unsorted) (V_D $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_List_Olist _let_1))) (let ((_let_4 (tptp.tc_prod _let_3 _let_2))) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_1) V_T) (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P _let_4) V_Ts_H V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_Progress_OWTrts_H V_P V_h V_E V_es V_Ts_H)) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_Ts V_T (tptp.c_Pair V_pns V_body _let_3 _let_2) V_D _let_4)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e (tptp.c_Type_Oty_OClass V_C))))))))) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))) (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_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Nat_Onat_Onat__case V_f1 V_f2 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P V_f1)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals _let_1 V_a T_a) (not (tptp.c_lessequals _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Otl V_xs T_a) T_a) (tptp.c_List_Otl (tptp.c_List_Odrop V_n V_xs T_a) T_a))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Orotate1 _let_1 T_a) _let_1))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_b T_a) V_a))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_b V_x tptp.tc_nat) V_b tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_x)))) (forall ((V_P $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_b V_d tptp.tc_nat) V_b tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_d)))) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_k V_l tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) _let_1)))) (= (tptp.c_HOL_Oplus__class_Oplus _let_11 _let_11 tptp.tc_nat) _let_11) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (let ((_let_2 (not (tptp.c_lessequals _let_1 _let_1 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) _let_2 _let_2 (= (tptp.c_HOL_Oplus__class_Oplus _let_1 _let_1 T_a) _let_1))))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Olist__update V_xs (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_x T_a) T_a) (tptp.c_List_Obutlast V_xs T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals _let_1 (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_lessequals _let_1 V_b T_a)) (not (tptp.c_lessequals _let_1 V_a T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) T_a)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z tptp.tc_nat) tptp.tc_nat))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_z T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_d T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_HOL_Oplus__class_Oplus V_a V_d T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_u T_a))) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) V_u))) (forall ((V_i $$unsorted) (V_m $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Oplus__class_Oplus V_m V_j tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Oplus__class_Oplus V_j V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))) (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_k V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) V_n tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) V_n tptp.tc_nat)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_x V_z tptp.tc_nat)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_x V_y tptp.tc_nat)))) (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_j $$unsorted)) (or (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Olist__update V_xs V_i V_x T_a) T_a) V_j) (tptp.hAPP (tptp.c_List_Onth V_xs T_a) V_j)) (= V_i V_j))) (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oone__class_Oone T_a))) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a) _let_1)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Int_Oring__char__0 T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_Int_Onumber__class_Onumber__of V_x T_a) (tptp.c_Int_Onumber__class_Onumber__of V_y T_a))) (= V_x V_y))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Obutlast V_xs T_a) T_a) (tptp.c_List_Obutlast (tptp.c_List_Odrop V_n V_xs T_a) T_a))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Odrop V_n (tptp.c_List_Otl V_xs T_a) T_a))) (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (forall ((V_list_H $$unsorted)) (not (= (tptp.c_Type_Oty_OClass V_list_H) tptp.c_Type_Oty_ONT))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)))) (forall ((T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olist__update _let_1 V_k V_x T_a) _let_1))) (forall ((T_a $$unsorted) (V_i $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olist__update _let_1 V_i V_y T_a) _let_1))) (forall ((T_a $$unsorted) (V_i $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olist__update _let_1 V_i V_v T_a) _let_1))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_x V_z tptp.tc_nat))) (= V_y V_z))) (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat))) (= V_m V_n))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat))) (= V_m V_n))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a))) (= V_y V_z))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a))) (= V_b V_c))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat))) (or (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) _let_1) (tptp.hAPP (tptp.c_List_Onth V_xs T_a) (tptp.c_HOL_Ominus__class_Ominus _let_1 (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Odrop V_n (tptp.c_List_Obutlast V_xs T_a) T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_n) (tptp.c_Nat_Onat_Onat__case V_x (tptp.c_List_Onth V_xs T_a) V_n T_a))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_List_Oreplicate _let_1 V_x T_a) (tptp.c_List_Oreplicate _let_1 V_y T_a)))) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_i (tptp.c_List_Oreplicate V_k V_x T_a) T_a) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus V_k V_i tptp.tc_nat) V_x T_a))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oreplicate (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_x T_a) (tptp.c_List_Olist_ONil T_a))) (forall ((V_n $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Orotate V_n _let_1 T_a) _let_1))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_y T_a) (tptp.c_List_Olist_OCons V_y V_xs T_a))) (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist__update V_xs V_i V_x T_a) _let_1) (tptp.c_Nat_Osize__class_Osize V_xs _let_1)))) (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otl (tptp.c_List_Oreplicate V_n V_x T_a) T_a) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_x T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oreplicate V_m V_x T_a) (tptp.c_List_Oreplicate V_n V_y T_a))) (= V_x V_y) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a))) (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) T_a))) (forall ((V_x $$unsorted)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) V_n)) (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) V_x))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_n tptp.tc_nat) V_m)) (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) V_n tptp.tc_nat) V_m)) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) V_a))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate V_m (tptp.c_List_Orotate V_n V_xs T_a) T_a) (tptp.c_List_Orotate (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_xs T_a))) (forall ((V_xs $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Olist__update V_xs V_k V_x T_a) _let_1)) (= V_xs _let_1)))) (forall ((V_P $$unsorted) (V_D $$unsorted) (V_M $$unsorted) (V_Ts $$unsorted) (V_T $$unsorted) (V_m $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_TypeRel_OMethod V_P V_D V_M V_Ts V_T V_m V_D T_a) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_Ts V_T V_m V_D T_a)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_a V_N T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Oappend V_ys V_zs T_a))) (= V_xs (tptp.c_List_Oappend (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 V_x V_xs V_ys V_zs T_a) V_zs T_a)) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_ys V_zs T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))) (= V_ys (tptp.c_List_Olist_OCons V_x (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 V_x V_xs V_ys V_zs T_a) T_a)) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a) V_xs)) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Orotate1 V_xs T_a) _let_1)) (= V_xs _let_1)))) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat) (not (tptp.c_lessequals V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))) (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_x T_a)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat))) (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Oreplicate V_n V_x T_a))) (= (tptp.c_List_Orev _let_1 T_a) _let_1))) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Nat_Osemiring__char__0 T_a)) (not (= (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a))) (= V_m V_n))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_x)) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_m)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_x $$unsorted) (V_a $$unsorted)) (or (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a tptp.tc_nat))) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Onat_Onat__case V_f1 V_f2 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) V_f1)) (forall ((V_x $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Onat_Onat__case V_x V_f (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) V_x)) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) _let_1)) (not (tptp.c_lessequals _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a)) (= V_y _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) _let_1)) (not (tptp.c_lessequals _let_1 V_y T_a)) (not (tptp.c_lessequals _let_1 V_x T_a)) (= V_x _let_1)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) _let_1)) (= V_m _let_1)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) _let_1)) (= V_n _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) V_x))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) V_a))) (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_j (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat)))) (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat) (not (tptp.c_lessequals V_j (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) tptp.tc_nat)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_Progress_OWTrt_H V_P V_h V_E (tptp.c_Expr_Oexp_OCall V_e V_M V_es (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T) (not (tptp.c_Progress_OWTrts_H V_P V_h V_E V_es V_Ts)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e tptp.c_Type_Oty_ONT)))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))) (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Orotate V_n V_xs T_a) _let_1) (tptp.c_Nat_Osize__class_Osize V_xs _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oreplicate (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_x T_a))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Orotate1 V_xs T_a) _let_1) (tptp.c_Nat_Osize__class_Osize V_xs _let_1)))) (forall ((V_i $$unsorted) (V_k $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oplus__class_Oplus V_k V_i tptp.tc_nat))) (or (not (tptp.c_lessequals V_i _let_1 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus _let_1 V_i tptp.tc_nat) V_k)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals V_n (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) tptp.tc_nat)) (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals V_n (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat)) (forall ((V_m $$unsorted) (V_x $$unsorted)) (tptp.c_lessequals V_m (tptp.c_HOL_Oplus__class_Oplus V_m V_x tptp.tc_nat) tptp.tc_nat)) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_xs)) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oplus__class_Oplus V_n V_i tptp.tc_nat))) (or (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Odrop V_n V_xs T_a) T_a) V_i) (tptp.hAPP (tptp.c_List_Onth V_xs T_a) _let_1)) (not (tptp.c_lessequals _let_1 (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat))))) (forall ((V_TS_H $$unsorted) (V_TS $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_M $$unsorted) (V_T_H $$unsorted) (V_m_H $$unsorted) (V_D_H $$unsorted) (T_a $$unsorted) (V_T $$unsorted) (V_m $$unsorted) (V_D $$unsorted)) (or (= V_TS_H V_TS) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS_H V_T_H V_m_H V_D_H T_a)) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS V_T V_m V_D T_a)))) (forall ((V_T_H $$unsorted) (V_T $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_M $$unsorted) (V_TS_H $$unsorted) (V_m_H $$unsorted) (V_D_H $$unsorted) (T_a $$unsorted) (V_TS $$unsorted) (V_m $$unsorted) (V_D $$unsorted)) (or (= V_T_H V_T) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS_H V_T_H V_m_H V_D_H T_a)) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS V_T V_m V_D T_a)))) (forall ((V_m_H $$unsorted) (V_m $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_M $$unsorted) (V_TS_H $$unsorted) (V_T_H $$unsorted) (V_D_H $$unsorted) (T_a $$unsorted) (V_TS $$unsorted) (V_T $$unsorted) (V_D $$unsorted)) (or (= V_m_H V_m) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS_H V_T_H V_m_H V_D_H T_a)) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS V_T V_m V_D T_a)))) (forall ((V_D_H $$unsorted) (V_D $$unsorted) (V_P $$unsorted) (V_C $$unsorted) (V_M $$unsorted) (V_TS_H $$unsorted) (V_T_H $$unsorted) (V_m_H $$unsorted) (T_a $$unsorted) (V_TS $$unsorted) (V_T $$unsorted) (V_m $$unsorted)) (or (= V_D_H V_D) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS_H V_T_H V_m_H V_D_H T_a)) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_TS V_T V_m V_D T_a)))) (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (let ((_let_1 (tptp.c_List_Oreplicate V_n V_x T_a))) (let ((_let_2 (tptp.c_List_Oreplicate V_k V_x T_a))) (= (tptp.c_List_Oappend _let_1 _let_2 T_a) (tptp.c_List_Oappend _let_2 _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat)))) (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))) (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_xs) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_i tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= V_j (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_i tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))) (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_m $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Odrop V_m V_xs T_a) T_a) (tptp.c_List_Odrop (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) V_xs T_a))) (forall ((V_n $$unsorted) (V_m $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oreplicate (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) V_x T_a) (tptp.c_List_Oappend (tptp.c_List_Oreplicate V_n V_x T_a) (tptp.c_List_Oreplicate V_m V_x T_a) T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) _let_1)) (= V_a _let_1)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))) (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oreplicate V_n V_x T_a) (tptp.c_List_Olist_ONil T_a))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a) _let_1) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) (forall ((T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower _let_1 V_n T_a) _let_1) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Oreplicate V_n V_x T_a) (tptp.tc_List_Olist T_a)) V_n)) (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oreplicate V_n V_x T_a))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_xs $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist__update V_xs V_i (tptp.hAPP (tptp.c_List_Onth V_xs T_a) V_i) T_a) V_xs)) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Orotate V_n V_xs T_a) _let_1)) (= V_xs _let_1)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Otl _let_1 T_a) _let_1))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a _let_1 T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) _let_1 T_a))))) (forall ((V_list_H $$unsorted)) (not (= tptp.c_Type_Oty_ONT (tptp.c_Type_Oty_OClass V_list_H)))) (forall ((V_xs $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Olist__update V_xs V_k V_x T_a) T_a) (tptp.c_List_Olist__update (tptp.c_List_Obutlast V_xs T_a) V_k V_x T_a)) (= V_k (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero T_a))) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) _let_1 T_a) (not (tptp.c_lessequals V_b _let_1 T_a)) (not (tptp.c_lessequals V_a _let_1 T_a))))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Obutlast _let_1 T_a) _let_1))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts_H $$unsorted) (V_Ts $$unsorted) (V_C $$unsorted) (V_pns $$unsorted) (V_body $$unsorted) (V_D $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_List_Olist _let_1))) (let ((_let_4 (tptp.tc_prod _let_3 _let_2))) (or (tptp.c_WellType_OWT V_P V_E (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_1) V_T) (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P _let_4) V_Ts_H V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_WellType_OWTs V_P V_E V_es V_Ts_H)) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_Ts V_T (tptp.c_Pair V_pns V_body _let_3 _let_2) V_D _let_4)) (not (tptp.c_WellType_OWT V_P V_E V_e (tptp.c_Type_Oty_OClass V_C))))))))) (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_i_H $$unsorted) (V_x_H $$unsorted)) (or (= (tptp.c_List_Olist__update (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_i_H V_x_H T_a) (tptp.c_List_Olist__update (tptp.c_List_Olist__update V_xs V_i_H V_x_H T_a) V_i V_x T_a)) (= V_i V_i_H))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat)) (tptp.hAPP (tptp.c_List_Onth V_ys T_a) V_n))) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate1 (tptp.c_List_Orotate V_n V_xs T_a) T_a) (tptp.c_List_Orotate V_n (tptp.c_List_Orotate1 V_xs T_a) T_a))) (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_i V_y T_a) (tptp.c_List_Olist__update V_xs V_i V_y T_a))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Obutlast (tptp.c_List_Olist_OCons V_x _let_1 T_a) T_a) _let_1))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Obutlast V_xs T_a) T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (or (not (= (tptp.c_List_Oappend V_ys V_zs T_a) _let_1)) (= (tptp.c_List_Oappend (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 V_x V_xs V_ys V_zs T_a) V_zs T_a) V_xs) (= V_zs _let_1)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (or (not (= _let_1 (tptp.c_List_Oappend V_ys V_zs T_a))) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 V_x V_xs V_ys V_zs T_a) T_a) V_ys) (= _let_1 V_zs)))) (forall ((V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (or (not (= (tptp.c_List_Oappend V_ys V_zs T_a) _let_1)) (= V_ys (tptp.c_List_Olist_OCons V_x (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 V_x V_xs V_ys V_zs T_a) T_a)) (= V_zs _let_1)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (or (not (= _let_1 (tptp.c_List_Oappend V_ys V_zs T_a))) (= V_xs (tptp.c_List_Oappend (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 V_x V_xs V_ys V_zs T_a) V_zs T_a)) (= _let_1 V_zs)))) (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Oreplicate V_n V_x T_a))) (= (tptp.c_List_Oappend _let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend _let_1 V_xs T_a) T_a)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Obutlast V_xs T_a))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otl (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Otl V_xs T_a) V_ys T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Obutlast V_ys T_a) T_a)) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Oappend V_xs V_ys T_a) _let_1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Nat_Osize__class_Osize V_xs _let_1) (tptp.c_Nat_Osize__class_Osize V_ys _let_1) tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= (tptp.hAPP (tptp.c_List_Onth V_xs T_a) V_n) V_y))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P T_a) tptp.c_Type_Oty_ONT) (tptp.c_Type_Oty_OClass V_C)))) (forall ((V_n $$unsorted) (V_m $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_List_Odrop V_m V_xs T_a) T_a) (tptp.c_List_Odrop V_m (tptp.c_List_Otake (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) V_xs T_a) T_a))) (forall ((V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_ys V_zs T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))) (= (tptp.c_List_Oappend (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 V_x V_xs V_ys V_zs T_a) V_zs T_a) V_xs) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Oappend V_ys V_zs T_a))) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 V_x V_xs V_ys V_zs T_a) T_a) V_ys) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Orotate1 (tptp.c_List_Olist_OCons V_x V_xs T_b) T_b) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_b) T_b) T_b))) (forall ((V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Oreplicate V_i V_x T_a))) (= (tptp.c_List_Oappend _let_1 (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olist_OCons V_x _let_1 T_a)))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x V_ys T_a) T_a) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_y T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x V_ys T_a) T_a) T_a) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a))) V_x)) (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (let ((_let_2 (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat))) (or (not (= _let_2 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_List_Odrop _let_2 _let_1 T_a) _let_1))))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Orotate1 V_xs T_a) V_xs) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Orotate V_n V_xs T_a) V_xs) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (forall ((V_x $$unsorted) (V_f $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Nat_Onat_Onat__case V_x V_f V_n T_a) (tptp.hAPP V_f (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Otl V_xs T_a) _let_1) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs _let_1) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Obutlast V_xs T_a) _let_1) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs _let_1) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Otake V_n V_xs T_a) T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_List_Otl V_xs T_a) T_a))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OCall V_e V_M V_es (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_T) (not (tptp.c_WellTypeRT_OWTrts V_P V_h V_E V_es V_Ts)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e tptp.c_Type_Oty_ONT)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_M $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts_H $$unsorted) (V_Ts $$unsorted) (V_C $$unsorted) (V_pns $$unsorted) (V_body $$unsorted) (V_D $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_List_Olist _let_1))) (let ((_let_4 (tptp.tc_prod _let_3 _let_2))) (or (tptp.c_WellTypeRT_OWTrt V_P V_h V_E (tptp.c_Expr_Oexp_OCall V_e V_M V_es _let_1) V_T) (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P _let_4) V_Ts_H V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_WellTypeRT_OWTrts V_P V_h V_E V_es V_Ts_H)) (not (tptp.c_TypeRel_OMethod V_P V_C V_M V_Ts V_T (tptp.c_Pair V_pns V_body _let_3 _let_2) V_D _let_4)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e (tptp.c_Type_Oty_OClass V_C))))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_Progress_OWTrts_H V_P V_h V_E (tptp.c_List_Olist_OCons V_e V_es (tptp.tc_Expr_Oexp (tptp.tc_List_Olist tptp.tc_String_Ochar))) (tptp.c_List_Olist_OCons V_T V_Ts tptp.tc_Type_Oty)) (not (tptp.c_Progress_OWTrts_H V_P V_h V_E V_es V_Ts)) (not (tptp.c_Progress_OWTrt_H V_P V_h V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_WellType_OWTs V_P V_E (tptp.c_List_Olist_OCons V_e V_es (tptp.tc_Expr_Oexp (tptp.tc_List_Olist tptp.tc_String_Ochar))) (tptp.c_List_Olist_OCons V_T V_Ts tptp.tc_Type_Oty)) (not (tptp.c_WellType_OWTs V_P V_E V_es V_Ts)) (not (tptp.c_WellType_OWT V_P V_E V_e V_T)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_N T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))) (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat))) (or (not (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_List_Otake _let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_ONil T_a))))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (= (tptp.hAPP (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_n) (tptp.hAPP (tptp.c_List_Onth V_xs T_a) (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast V_xs T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_xs T_a))) (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat))) (or (= (tptp.c_List_Otake _let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus _let_1 (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_xs T_a) T_a)) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Int_Onumber__class_Onumber__of V_v tptp.tc_nat))) (or (= (tptp.c_List_Odrop _let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Odrop (tptp.c_HOL_Ominus__class_Ominus _let_1 (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_xs T_a)) (= _let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Otake V_n V_xs T_a) T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_xs T_a)) (not (tptp.c_lessequals V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat))) (or (= (tptp.c_List_Otake _let_1 V_xs T_a) (tptp.c_List_Oappend (tptp.c_List_Otake V_i V_xs T_a) (tptp.c_List_Otake V_j (tptp.c_List_Odrop V_i V_xs T_a) T_a) T_a)) (not (tptp.c_lessequals _let_1 (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat))))) (forall ((V_n $$unsorted) (V_m $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Otake V_m V_xs T_a) T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_List_Odrop V_n V_xs T_a) T_a))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Odrop V_n V_xs T_a) _let_1) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs _let_1) V_n tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otake V_n V_xs T_a) V_xs) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (= (tptp.c_List_Odrop (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) _let_1 T_a) _let_1))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_xs)) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_xs T_a) (tptp.c_List_Olist_ONil T_a))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Otake V_n V_xs T_a) _let_1)) (= V_xs _let_1) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))) (forall ((V_P $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_ys (tptp.c_List_Osko__List__Xlist__all2__append1__1__2 V_P V_xs V_ys V_zs T_a T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Osko__List__Xlist__all2__append1__1__1 V_P V_xs V_ys V_zs T_a T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Osko__List__Xlist__all2__append2__1__2 V_P V_xs V_ys V_zs T_a T_b) V_zs T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Osko__List__Xlist__all2__append2__1__1 V_P V_xs V_ys V_zs T_a T_b) V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist_ONil T_a) (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (forall ((V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist_OCons V_x V_ys T_a) _let_1) (tptp.c_Nat_Osize__class_Osize V_ys _let_1) tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((V_xs $$unsorted) (V_P $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= V_xs (tptp.c_List_Oappend (tptp.c_List_Osko__List__Xlist__all2__append2__1__1 V_P V_xs V_ys V_zs T_a T_b) (tptp.c_List_Osko__List__Xlist__all2__append2__1__2 V_P V_xs V_ys V_zs T_a T_b) T_a)) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((V_x $$unsorted)) (tptp.c_lessequals V_x V_x tptp.tc_nat)) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_k tptp.tc_nat) (not (tptp.c_lessequals V_j V_k tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))) (forall ((V_n $$unsorted)) (tptp.c_lessequals V_n V_n tptp.tc_nat)) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (tptp.c_lessequals _let_11 _let_11 tptp.tc_nat) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) _let_1)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) _let_1)) (= V_m V_n)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))) (forall ((V_n $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otake V_n (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_xs T_a) T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (= V_n _let_1) (not (tptp.c_lessequals V_n _let_1 tptp.tc_nat))))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))) (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)) (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))) (forall ((V_zs $$unsorted) (V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= V_zs (tptp.c_List_Oappend (tptp.c_List_Osko__List__Xlist__all2__append1__1__1 V_P V_xs V_ys V_zs T_a T_b) (tptp.c_List_Osko__List__Xlist__all2__append1__1__2 V_P V_xs V_ys V_zs T_a T_b) T_b)) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a T_b)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_lessequals V_m V_n tptp.tc_nat))) (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_l $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_l tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))) (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))) (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat))) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)) (= V_m V_n))) (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_xs T_a) V_xs)) (forall ((V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus _let_1 V_n tptp.tc_nat) _let_1))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat)) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x V_y))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))) (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_k tptp.tc_nat) V_j tptp.tc_nat))) (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_n $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Odrop V_n (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Odrop (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_xs T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Ominus__class_Ominus V_n V_i tptp.tc_nat) tptp.tc_nat) V_i) (not (tptp.c_lessequals V_i V_n tptp.tc_nat)))) (forall ((V_xs $$unsorted) (V_P $$unsorted) (V_h $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= V_xs (tptp.c_List_Olist_OCons (tptp.c_Conform_Osko__Conform__Xconfs__Cons2__1__1 V_P V_h V_xs V_y V_ys T_a) (tptp.c_Conform_Osko__Conform__Xconfs__Cons2__1__2 V_P V_h V_xs V_y V_ys T_a) tptp.tc_Value_Oval)) (not (tptp.c_List_Olist__all2 (tptp.c_Conform_Oconf V_P V_h T_a) V_xs (tptp.c_List_Olist_OCons V_y V_ys tptp.tc_Type_Oty) tptp.tc_Value_Oval tptp.tc_Type_Oty)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_ONil T_a))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Osko__List__Xlist__all2__append2__1__1 V_P V_xs V_ys V_zs T_a T_b) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b))) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Osko__List__Xlist__all2__append1__1__1 V_P V_xs V_ys V_zs T_a T_b) (tptp.tc_List_Olist T_b)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a))) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Osko__List__Xlist__all2__append2__1__2 V_P V_xs V_ys V_zs T_a T_b) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_zs (tptp.tc_List_Olist T_b))) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Osko__List__Xlist__all2__append1__1__2 V_P V_xs V_ys V_zs T_a T_b) (tptp.tc_List_Olist T_b)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_a))) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a T_b)))) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ (tptp.c_Expr_Oexp_OCall _let_8 tptp.v_M____ tptp.v_esa____ _let_4) tptp.v_T____) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Olist_ONil T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Olist_ONil T_a))) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat))) (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 _let_1))) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= V_xs_092_060_094isub_0621 (tptp.c_List_Otake _let_2 V_ys_092_060_094isub_0621 T_a)) (not (tptp.c_lessequals _let_2 (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 _let_1) tptp.tc_nat)))))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Otake V_n V_xs T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_ys T_a) T_a))) (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 _let_1))) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= (tptp.c_List_Otake _let_2 V_xs_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0621) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 _let_1) _let_2 tptp.tc_nat))))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Odrop (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_ys T_a) T_a))) (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 _let_1))) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= (tptp.c_List_Oappend (tptp.c_List_Odrop _let_2 V_xs_092_060_094isub_0621 T_a) V_xs_092_060_094isub_0622 T_a) V_ys_092_060_094isub_0622) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 _let_1) _let_2 tptp.tc_nat))))) (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 _let_1))) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= V_xs_092_060_094isub_0622 (tptp.c_List_Oappend (tptp.c_List_Odrop _let_2 V_ys_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0622 T_a)) (not (tptp.c_lessequals _let_2 (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 _let_1) tptp.tc_nat)))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_es $$unsorted) (V_T $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_WellTypeRT_OWTrts V_P V_h V_E (tptp.c_List_Olist_OCons V_e V_es (tptp.tc_Expr_Oexp (tptp.tc_List_Olist tptp.tc_String_Ochar))) (tptp.c_List_Olist_OCons V_T V_Ts tptp.tc_Type_Oty)) (not (tptp.c_WellTypeRT_OWTrts V_P V_h V_E V_es V_Ts)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_Conform_Oconf V_P V_h T_a))) (or (tptp.c_List_Olist__all2 _let_1 (tptp.c_List_Olist_OCons V_x V_xa tptp.tc_Value_Oval) (tptp.c_List_Olist_OCons V_y V_ys tptp.tc_Type_Oty) tptp.tc_Value_Oval tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 _let_1 V_xa V_ys tptp.tc_Value_Oval tptp.tc_Type_Oty)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_1 V_x) V_y)))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_Conform_Oconf V_P V_h T_a))) (or (tptp.c_List_Olist__all2 _let_1 (tptp.c_Conform_Osko__Conform__Xconfs__Cons2__1__2 V_P V_h V_xs V_y V_ys T_a) V_ys tptp.tc_Value_Oval tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 _let_1 V_xs (tptp.c_List_Olist_OCons V_y V_ys tptp.tc_Type_Oty) tptp.tc_Value_Oval tptp.tc_Type_Oty))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_Conform_Oconf V_P V_h T_a))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_1 (tptp.c_Conform_Osko__Conform__Xconfs__Cons2__1__1 V_P V_h V_xs V_y V_ys T_a)) V_y)) (not (tptp.c_List_Olist__all2 _let_1 V_xs (tptp.c_List_Olist_OCons V_y V_ys tptp.tc_Type_Oty) tptp.tc_Value_Oval tptp.tc_Type_Oty))))) (forall ((V_xs_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 _let_1))) (or (not (= V_xs_092_060_094isub_0621 (tptp.c_List_Otake _let_2 V_ys_092_060_094isub_0621 T_a))) (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 (tptp.c_List_Oappend (tptp.c_List_Odrop _let_2 V_ys_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0622 T_a) T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a)) (not (tptp.c_lessequals _let_2 (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 _let_1) tptp.tc_nat)))))) (forall ((V_ys_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 _let_1))) (or (not (= (tptp.c_List_Otake _let_2 V_xs_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0621)) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 _let_1) _let_2 tptp.tc_nat) (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 (tptp.c_List_Oappend (tptp.c_List_Odrop _let_2 V_xs_092_060_094isub_0621 T_a) V_xs_092_060_094isub_0622 T_a) T_a)))))) (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Odrop V_i V_xs T_a) T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_i tptp.tc_nat) (tptp.c_List_Orev V_xs T_a) T_a))) (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Otake V_i V_xs T_a) T_a) (tptp.c_List_Odrop (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_i tptp.tc_nat) (tptp.c_List_Orev V_xs T_a) T_a))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Orev V_xs T_a) T_a))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Orev _let_1 T_a) _let_1))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= _let_1 (tptp.c_List_Oappend _let_1 _let_1 T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (= _let_1 (tptp.c_List_Orev _let_1 T_a)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (= _let_1 (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) _let_1 T_a)))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))) (forall ((V_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_us T_a) (tptp.c_List_Oappend V_ys V_vs T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_us V_vs T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Orev V_xs T_a) _let_1)) (= V_xs _let_1)))) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_ha____ tptp.v_E____ _let_8 _let_7) (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Otake V_n V_xs T_a) (tptp.c_List_Odrop V_n V_xs T_a) T_a) V_xs)) (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_a_H V_list_H T_a) (tptp.c_List_Olist_ONil T_a)))) (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_ONil T_a)))) (forall ((V_x $$unsorted) (V_xs1 $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs1 V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs1 T_a) V_zs T_a))) (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (T_a $$unsorted) (V_v $$unsorted) (V_T $$unsorted) (V_h $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Conform_Oconf V_P V_h_H T_a) V_v) V_T)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Conform_Oconf V_P V_h T_a) V_v) V_T))) (not (tptp.c_Objects_Ohext V_h V_h_H)))) (forall ((V_h $$unsorted)) (tptp.c_Objects_Ohext V_h V_h)) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (T_a $$unsorted) (V_vs $$unsorted) (V_Ts $$unsorted) (V_h $$unsorted)) (or (tptp.c_List_Olist__all2 (tptp.c_Conform_Oconf V_P V_h_H T_a) V_vs V_Ts tptp.tc_Value_Oval tptp.tc_Type_Oty) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_List_Olist__all2 (tptp.c_Conform_Oconf V_P V_h T_a) V_vs V_Ts tptp.tc_Value_Oval tptp.tc_Type_Oty)))) (forall ((V_h $$unsorted) (V_h_H_H $$unsorted) (V_h_H $$unsorted)) (or (tptp.c_Objects_Ohext V_h V_h_H_H) (not (tptp.c_Objects_Ohext V_h_H V_h_H_H)) (not (tptp.c_Objects_Ohext V_h V_h_H)))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_E $$unsorted) (V_e $$unsorted) (V_T $$unsorted) (V_h $$unsorted)) (or (tptp.c_WellTypeRT_OWTrt V_P V_h_H V_E V_e V_T) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_WellTypeRT_OWTrt V_P V_h V_E V_e V_T)))) (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_List_Oappend V_xs V_ys T_a) T_a))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs T_a) V_ys T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs V_ys T_a) T_a))) (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a))) (forall ((V_xa $$unsorted) (T_b $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.tc_List_Olist T_b))) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xa _let_2) (tptp.c_Nat_Osize__class_Osize V_ys _let_1))) (not (= (tptp.c_Nat_Osize__class_Osize V_x _let_2) (tptp.c_Nat_Osize__class_Osize V_xs _let_1))) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_x V_xa T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_ys V_xa T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_xs V_x T_a T_b)))))) (forall ((V_xa $$unsorted) (T_a $$unsorted) (V_zs $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_b))) (let ((_let_2 (tptp.tc_List_Olist T_a))) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xa _let_2) (tptp.c_Nat_Osize__class_Osize V_zs _let_1))) (not (= (tptp.c_Nat_Osize__class_Osize V_x _let_2) (tptp.c_Nat_Osize__class_Osize V_ys _let_1))) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_x V_xa T_a) (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xa V_zs T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_x V_ys T_a T_b)))))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= V_xs (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (= (tptp.c_List_Orev _let_1 T_a) _let_1))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBI V_P T_a) V_P)) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (or (not (= _let_1 (tptp.c_List_Orev V_xs T_a))) (= V_xs _let_1)))) (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_ys V_xs T_a) (tptp.c_List_Oappend V_zs V_xs T_a))) (= V_ys V_zs))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_xs V_zs T_a))) (= V_ys V_zs))) (forall ((V_n $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Otake V_n _let_1 T_a) _let_1))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) V_xs)) (forall ((V_x $$unsorted) (T_a $$unsorted)) (= V_x (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_x T_a))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a))) (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a) V_ys)) (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Orev (tptp.c_List_Orev V_xs T_a) T_a))) (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Orev V_ys T_a) T_a) V_ys)) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Orev V_xs T_a) T_a) V_xs)) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= V_xs (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_List_Oappend V_xs V_ys T_a) T_a))) (forall ((V_list $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_Type_Oty_OClass V_list) (tptp.c_Type_Oty_OClass V_list_H))) (= V_list V_list_H))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (or (not (= (tptp.c_List_Orev V_xs T_a) _let_1)) (= V_xs _let_1)))) (forall ((V_n $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Odrop V_n _let_1 T_a) _let_1))) (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= _let_1 (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs _let_1)))) (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= _let_1 (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys _let_1)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) _let_1)) (= V_xs _let_1)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) _let_1)) (= V_ys _let_1)))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (let ((_let_1 (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))) (or (not (= V_xs (tptp.c_List_Otake _let_1 V_zs T_a))) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Odrop _let_1 V_zs T_a) T_a) V_zs)))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_us T_a) (tptp.c_List_Oappend V_ys V_vs T_b) T_a T_b)))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist__all2 V_P V_us V_vs T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_us T_a) (tptp.c_List_Oappend V_ys V_vs T_b) T_a T_b)))) (forall ((T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Orev V_ys T_a))) (= V_xs V_ys))) (forall ((T_a $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= _let_1 (tptp.c_List_Orev V_xs T_a))) (= V_xs _let_1)))) (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P tptp.v_E____ (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_4 (tptp.tc_fun (tptp.tc_prod _let_4 _let_4) _let_10)))) (tptp.tc_fun _let_4 _let_10))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_xs)) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= V_xs (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_ys)) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= V_ys (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) _let_1 T_a) _let_1))) (forall ((V_ys_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_xs_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 _let_1))) (let ((_let_3 (tptp.c_List_Oappend (tptp.c_List_Odrop _let_2 V_ys_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0622 T_a))) (let ((_let_4 (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 _let_1))) (or (not (= (tptp.c_List_Oappend (tptp.c_List_Odrop _let_4 V_xs_092_060_094isub_0621 T_a) _let_3 T_a) V_ys_092_060_094isub_0622)) (not (= (tptp.c_List_Otake _let_4 V_xs_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0621)) (not (= V_xs_092_060_094isub_0621 (tptp.c_List_Otake _let_2 V_ys_092_060_094isub_0621 T_a))) (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 _let_3 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a)))))))) (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= _let_1 (tptp.c_List_Orev _let_1 T_a)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Orev V_xs T_a) _let_1) (tptp.c_Nat_Osize__class_Osize V_xs _let_1)))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x _let_1 T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y _let_1 T_a) T_a))) (= V_xs V_ys)))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x _let_1 T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y _let_1 T_a) T_a))) (= V_x V_y)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Oappend _let_1 _let_1 T_a) _let_1))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_ys V_zs T_a) T_a))) (forall ((V_xs $$unsorted) (V_xs1 $$unsorted) (V_us $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_xs1 V_us T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_xs1 T_a) V_us T_a))) (forall ((V_zs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_zs V_x T_a) V_ys T_a) (tptp.c_List_Oappend V_zs (tptp.c_List_Oappend V_x V_ys T_a) T_a))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_x V_ts T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_x T_a) V_ts T_a))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a))) (= V_val V_val_H))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Osko__List__Xlist__all2__refl__1__1 V_P T_a))) (or (tptp.c_List_Olist__all2 V_P V_xs V_xs T_a T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P _let_1) _let_1)))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.c_List_Olist__all2 (tptp.c_fequal T_a) V_x V_x T_a T_a)) (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_b) T_a T_b)) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_Ts_H $$unsorted) (V_h $$unsorted) (V_vs $$unsorted)) (or (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P T_a) (tptp.c_Conform_Osko__Conform__Xconfs__conv__map__1__1 V_P V_Ts_H V_h V_vs T_a) V_Ts_H tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 (tptp.c_Conform_Oconf V_P V_h T_a) V_vs V_Ts_H tptp.tc_Value_Oval tptp.tc_Type_Oty)))) _let_9 (forall ((V_E $$unsorted) (V_Ts $$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_OWTrts tptp.v_P tptp.v_h_Ha____ V_E tptp.v_es_Ha____ (tptp.v_sko__local__XCallParams__2__1 V_E tptp.v_P V_Ts tptp.v_es_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_ha____ V_E tptp.v_esa____ V_Ts)) (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_xs $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (T_b $$unsorted)) (or (= V_xs (tptp.c_List_Olist_ONil T_a)) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Olist_ONil T_b) T_a T_b)))) (forall ((V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (= V_ys (tptp.c_List_Olist_ONil T_b)) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_ONil T_a) V_ys T_a T_b)))) (forall ((V_P $$unsorted) (V_n $$unsorted) (V_as $$unsorted) (T_a $$unsorted) (V_bs $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Odrop V_n V_as T_a) (tptp.c_List_Odrop V_n V_bs T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_as V_bs T_a T_b)))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted)) (let ((_let_1 (tptp.c_TypeRel_Owiden V_P T_a))) (or (tptp.c_List_Olist__all2 _let_1 (tptp.c_List_Olist_OCons V_x V_xs tptp.tc_Type_Oty) (tptp.c_List_Olist_OCons V_xa V_xb tptp.tc_Type_Oty) tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 _let_1 V_xs V_xb tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_1 V_x) V_xa)))))) (forall ((V_Ea $$unsorted) (V_Ts $$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_List_Olist__all2 (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (tptp.v_sko__local__XIH__1 V_Ea tptp.v_P V_Ts tptp.v_es_Ha____ tptp.v_h_Ha____) V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_ha____ V_Ea tptp.v_esa____ V_Ts)) (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_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted)) (or (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b))) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))) (tptp.c_WellTypeRT_OWTrt tptp.v_P tptp.v_h_Ha____ tptp.v_E____ _let_8 _let_7) (forall ((V_ys $$unsorted) (V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= V_ys (tptp.c_List_Olist_OCons (tptp.c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1 V_P V_x V_xs V_ys T_a) (tptp.c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2 V_P V_x V_xs V_ys T_a) tptp.tc_Type_Oty)) (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P T_a) (tptp.c_List_Olist_OCons V_x V_xs tptp.tc_Type_Oty) V_ys tptp.tc_Type_Oty tptp.tc_Type_Oty)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xa V_ys T_a T_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_y))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_xa V_xb T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_xb T_a T_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_xa))))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_y))))) (tptp.c_List_Olist__all2 _let_5 tptp.v_Us____ tptp.v_Ts____ tptp.tc_Type_Oty tptp.tc_Type_Oty) (forall ((V_Ea $$unsorted) (V_Ts $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_h_Ha____ V_Ea tptp.v_es_Ha____ (tptp.v_sko__local__XIH__1 V_Ea tptp.v_P V_Ts tptp.v_es_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_ha____ V_Ea tptp.v_esa____ V_Ts)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_Ea (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Orev V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Orev V_ys T_b) T_a T_b)))) (forall ((V_E $$unsorted) (V_Ts $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_h_Ha____ V_E tptp.v_es_Ha____ (tptp.v_sko__local__XCallParams__Xhyps__2__1 V_E tptp.v_P V_Ts tptp.v_es_Ha____ tptp.v_h_Ha____)) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_ha____ V_E tptp.v_esa____ V_Ts)) (not (tptp.c_TypeSafe__Mirabelle_Osconf tptp.v_P V_E (tptp.c_Pair tptp.v_ha____ tptp.v_la____ (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))))))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b)))) (forall ((V_E $$unsorted) (V_Ts $$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_List_Olist__all2 (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (tptp.v_sko__local__XCallParams__Xhyps__2__1 V_E tptp.v_P V_Ts tptp.v_es_Ha____ tptp.v_h_Ha____) V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_ha____ V_E tptp.v_esa____ V_Ts)) (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 $$unsorted) (V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Otake V_n V_xs T_a) (tptp.c_List_Otake V_n V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= V_xs V_ys) (not (tptp.c_List_Olist__all2 (tptp.c_fequal T_a) V_xs V_ys T_a T_a)))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_T $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P T_a) V_T) V_T))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_S $$unsorted) (V_T $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.c_TypeRel_Owiden V_P T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_S))) (or (tptp.hBOOL (tptp.hAPP _let_2 V_T)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_1 V_U) V_T))) (not (tptp.hBOOL (tptp.hAPP _let_2 V_U))))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (V_v $$unsorted) (V_T_H $$unsorted) (V_T $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Conform_Oconf V_P V_h T_a) V_v))) (or (tptp.hBOOL (tptp.hAPP _let_1 V_T_H)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_TypeRel_Owiden V_P T_a) V_T) V_T_H))) (not (tptp.hBOOL (tptp.hAPP _let_1 V_T)))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_es $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_Progress_OWTrts_H V_P V_h V_E V_es V_Ts) (not (tptp.c_WellTypeRT_OWTrts V_P V_h V_E V_es V_Ts)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_es $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_WellTypeRT_OWTrts V_P V_h V_E V_es V_Ts) (not (tptp.c_Progress_OWTrts_H V_P V_h V_E V_es V_Ts)))) (forall ((V_P $$unsorted) (V_h $$unsorted) (V_E $$unsorted) (V_es $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_WellTypeRT_OWTrts V_P V_h V_E V_es V_Ts) (not (tptp.c_WellType_OWTs V_P V_E V_es V_Ts)))) (forall ((V_P $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_a V_c T_a) (tptp.c_List_Oappend V_b V_d T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_c V_d T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_a V_b T_a T_b)))) (forall ((V_P $$unsorted) (V_h_H $$unsorted) (V_E $$unsorted) (V_es $$unsorted) (V_Ts $$unsorted) (V_h $$unsorted)) (or (tptp.c_WellTypeRT_OWTrts V_P V_h_H V_E V_es V_Ts) (not (tptp.c_Objects_Ohext V_h V_h_H)) (not (tptp.c_WellTypeRT_OWTrts V_P V_h V_E V_es V_Ts)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_y)) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b)))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_TypeRel_Owiden V_P T_a))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP _let_1 V_x) (tptp.c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1 V_P V_x V_xs V_ys T_a))) (not (tptp.c_List_Olist__all2 _let_1 (tptp.c_List_Olist_OCons V_x V_xs tptp.tc_Type_Oty) V_ys tptp.tc_Type_Oty tptp.tc_Type_Oty))))) (= (tptp.c_COMBI tptp.v_P tptp.t_a) tptp.v_P) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_TypeRel_Owiden V_P T_a))) (or (tptp.c_List_Olist__all2 _let_1 V_xs (tptp.c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2 V_P V_x V_xs V_ys T_a) tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 _let_1 (tptp.c_List_Olist_OCons V_x V_xs tptp.tc_Type_Oty) V_ys tptp.tc_Type_Oty tptp.tc_Type_Oty))))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_Ss $$unsorted) (V_Us $$unsorted) (V_Ts $$unsorted)) (let ((_let_1 (tptp.c_TypeRel_Owiden V_P T_a))) (or (tptp.c_List_Olist__all2 _let_1 V_Ss V_Us tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 _let_1 V_Ts V_Us tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_List_Olist__all2 _let_1 V_Ss V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty))))) (forall ((V_P $$unsorted) (V_h $$unsorted) (T_a $$unsorted) (V_vs $$unsorted) (V_Ts_H $$unsorted) (V_Ts $$unsorted)) (let ((_let_1 (tptp.c_Conform_Oconf V_P V_h T_a))) (or (tptp.c_List_Olist__all2 _let_1 V_vs V_Ts_H tptp.tc_Value_Oval tptp.tc_Type_Oty) (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P T_a) V_Ts V_Ts_H tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_List_Olist__all2 _let_1 V_vs V_Ts tptp.tc_Value_Oval tptp.tc_Type_Oty))))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden V_P T_a) V_xs V_xs tptp.tc_Type_Oty tptp.tc_Type_Oty)) (forall ((V_E $$unsorted) (V_Ts $$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_List_Olist__all2 (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_2) (tptp.tc_Expr_Oexp _let_2))) (tptp.v_sko__local__XCallParams__2__1 V_E tptp.v_P V_Ts tptp.v_es_Ha____ tptp.v_h_Ha____) V_Ts tptp.tc_Type_Oty tptp.tc_Type_Oty) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_ha____ V_E tptp.v_esa____ V_Ts)) (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)))))))) (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_ha____ tptp.v_E____ tptp.v_esa____ tptp.v_Us____) (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Orev V_xs T_a) V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Orev V_ys T_b) T_a T_b)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Orev V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Orev V_xs T_a) V_ys T_a T_b)))) _let_6 _let_3 _let_1 (forall ((V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or tptp.v_thesis____ (not (tptp.c_List_Olist__all2 (tptp.c_TypeRel_Owiden tptp.v_P (tptp.tc_prod (tptp.tc_List_Olist _let_1) (tptp.tc_Expr_Oexp _let_1))) V_x tptp.v_Us____ tptp.tc_Type_Oty tptp.tc_Type_Oty)) (not (tptp.c_WellTypeRT_OWTrts tptp.v_P tptp.v_h_Ha____ tptp.v_E____ tptp.v_es_Ha____ V_x))))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat) (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat) (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat) (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat) (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat) (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat) (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat) (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat) (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat) (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat) (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat) (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat) (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat) (tptp.class_Orderings_Opreorder tptp.tc_nat) (tptp.class_Orderings_Olinorder tptp.tc_nat) (tptp.class_Orderings_Oorder tptp.tc_nat) (tptp.class_Power_Opower tptp.tc_nat) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint) (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Int_Oint) (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint) (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint) (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint) (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint) (tptp.class_Orderings_Oorder tptp.tc_Int_Oint) (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint) (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint) (tptp.class_Power_Opower tptp.tc_Int_Oint) (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_x) V_x))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_X) V_Y)))))))))))))))))))))))))
% 0.24/0.87  )
% 0.24/0.87  % SZS output end Proof for SWV972-1
% 0.24/0.87  % cvc5---1.0.5 exiting
% 0.24/0.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------