%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV925-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 21:53:48 EDT 2023

% Result   : Unsatisfiable 0.54s 0.94s
% Output   : Proof 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18  % Problem    : SWV925-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.19  % Command    : do_cvc5 %s %d
% 0.19/0.40  % Computer : n014.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Tue Aug 29 03:57:15 EDT 2023
% 0.19/0.40  % CPUTime    : 
% 0.25/0.60  %----Proving TF0_NAR, FOF, or CNF
% 0.25/0.60  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.me7agEtp2x/cvc5---1.0.5_5366.p...
% 0.43/0.72  ------- get file name : TPTP file name is SWV925-1
% 0.43/0.72  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5366.smt2...
% 0.43/0.72  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.54/0.94  % SZS status Unsatisfiable for SWV925-1
% 0.54/0.94  % SZS output start Proof for SWV925-1
% 0.54/0.96  (
% 0.54/0.96  (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.c_List_Olist_ONil _let_1))) (let ((_let_3 (tptp.c_DefAss_O_092_060D_062 tptp.v_al (tptp.c_DefAss_OhyperUn tptp.v_A (tptp.hAPP (tptp.c_Option_Ooption_OSome (tptp.tc_fun _let_1 tptp.tc_bool)) (tptp.hAPP (tptp.c_List_Oset _let_1) _let_2)) _let_1) _let_1))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_5 (tptp.tc_List_Olist tptp.tc_Value_Oval))) (let ((_let_6 (tptp.tc_prod _let_5 _let_4))) (let ((_let_7 (tptp.tc_List_Olist tptp.tc_Type_Oty))) (let ((_let_8 (tptp.tc_List_Olist _let_1))) (let ((_let_9 (tptp.c_List_Olist_OCons tptp.v_aj tptp.v_ak tptp.tc_Value_Oval))) (let ((_let_10 (tptp.c_List_Olist_ONil tptp.tc_Type_Oty))) (let ((_let_11 (tptp.c_DefAss_O_092_060D_062 (tptp.c_SmallStep_Oblocks (tptp.c_Pair _let_2 (tptp.c_Pair _let_10 (tptp.c_Pair _let_9 tptp.v_al _let_5 _let_4) _let_7 _let_6) _let_8 (tptp.tc_prod _let_7 _let_6))) tptp.v_A _let_1))) (let ((_let_12 (tptp.c_Nat_Osize__class_Osize _let_10 _let_7))) (let ((_let_13 (tptp.c_Nat_Osize__class_Osize _let_9 _let_5))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (tptp.c_Nat_Osize__class_Osize _let_2 _let_8))) (let ((_let_16 (= _let_15 _let_12))) (let ((_let_17 (forall ((T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))) (let ((_let_18 (forall ((T_a $$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))))) (let ((_let_19 (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)))))) (let ((_let_20 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (let ((_let_21 (= _let_12 _let_13))) (let ((_let_22 (= _let_20 _let_15))) (let ((_let_23 (= _let_20 _let_13))) (let ((_let_24 (ASSUME :args (_let_16)))) (let ((_let_25 (SYMM (ASSUME :args (_let_14))))) (let ((_let_26 (forall ((T_a $$unsorted)) (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist_ONil T_a) (tptp.tc_List_Olist T_a)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (= (tptp.c_List_Olist_ONil tptp.tc_Value_Oval) _let_9))) (let ((_let_29 (not _let_23))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_17))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (and _let_16 _let_21 _let_22))) (let ((_let_36 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_25 _let_24 _let_36) (SCOPE (TRANS (SYMM (SYMM _let_36)) (SYMM (SYMM _let_24)) (SYMM (SYMM _let_25))) :args (_let_21 _let_16 _let_22))) :args (_let_16 _let_21 _let_22))) :args (true _let_35)) :args ((or (not _let_16) (not _let_21) _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.tc_Value_Oval tptp.v_aj tptp.v_ak QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))) :args _let_33)) _let_34 :args ((not _let_28) false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_9 tptp.tc_Value_Oval QUANTIFIERS_INST_E_MATCHING ((tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a))))) :args (_let_31)))) _let_32 :args (_let_30 false _let_31)) :args (_let_29 true _let_28 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_List_Olist_ONil T_a)))) :args (_let_26))) _let_27 :args (_let_22 false _let_26)) _let_25 _let_24 :args (false true _let_23 false _let_22 false _let_21 false _let_16)) :args ((forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (= V_b V_a) (not (tptp.c_in V_b (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Set_Oinsert V_a V_A T_a) T_a T_b)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((T_b $$unsorted) (V_M $$unsorted) (V_i $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_b)) (tptp.c_lessequals (tptp.hAPP V_M V_i) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_M T_a T_b) T_b) (not (tptp.c_in V_i V_A T_a)))) (forall ((V_B $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.tc_fun T_b tptp.tc_bool))) (or (tptp.c_lessequals (tptp.hAPP V_B V_a) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a _let_1) _let_1) (not (tptp.c_in V_a V_A T_a))))) (forall ((V_v $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OVal V_v T_a) T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_1) (tptp.c_Orderings_Obot__class_Obot _let_1))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A V_B _let_1) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B _let_1))))) (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_b V_B T_a) _let_1) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((T_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a)) (not (tptp.c_List_Odistinct (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x V_xs T_a T_b) T_a)))) (forall ((V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_Othrow V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_ys $$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 $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_xs V_zs T_a))) (= V_ys V_zs))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ooverride__on V_f V_g V_A T_a T_b) V_a) (tptp.hAPP V_f V_a)) (tptp.c_in V_a V_A T_a))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_list_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a)))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_nat_H)))) (forall ((V_m $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_m)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted)) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) T_a) (tptp.c_DefAss_OhyperUn (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0622 T_a) T_a))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot _let_1) V_A _let_1))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Obot T_a)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))) (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Odistinct V_ys T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))) (forall ((V_xs $$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 $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (= (tptp.c_List_Oappend (tptp.c_List_Obutlast V_xs T_a) (tptp.c_List_Olist_OCons (tptp.c_List_Olast V_xs T_a) _let_1 T_a) T_a) V_xs) (= V_xs _let_1)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Set_Oinsert V_x V_A T_a))) (= (tptp.c_Set_Oinsert V_x _let_1 T_a) _let_1))) (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_Orderings_Obot__class_Obot _let_1))) (or (not (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_b _let_1) _let_2)) (= (tptp.hAPP V_B V_x) _let_2) (not (tptp.c_in V_x V_A T_b)))))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_I $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals (tptp.hAPP V_A V_x) V_B _let_1) (not (tptp.c_in V_x V_I T_b)) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_I V_A T_b _let_1) V_B _let_1))))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (T_a $$unsorted)) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D T_a) T_a) (tptp.c_DefAss_O_092_060A_062 V_e T_a))) (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_val_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_e_H $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_s_H $$unsorted)) (or (tptp.c_BigStep_Ofinal V_e_H (tptp.tc_List_Olist tptp.tc_String_Ochar)) (not (tptp.c_BigStep_Oeval V_P V_e V_s V_e_H V_s_H)))) (forall ((V_P $$unsorted) (V_e $$unsorted) (V_s $$unsorted)) (or (tptp.c_BigStep_Oeval V_P V_e V_s V_e V_s) (not (tptp.c_BigStep_Ofinal V_e (tptp.tc_List_Olist tptp.tc_String_Ochar))))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Suc V_x) (tptp.c_Suc V_y))) (= V_x V_y))) (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Suc V_nat) (tptp.c_Suc V_nat_H))) (= V_nat V_nat_H))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ooverride__on V_f V_g V_A T_a T_b) V_a) (tptp.hAPP V_g V_a)) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_m3 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__add V_m1 (tptp.c_Map_Omap__add V_m2 V_m3 T_a T_b) T_a T_b) (tptp.c_Map_Omap__add (tptp.c_Map_Omap__add V_m1 V_m2 T_a T_b) V_m3 T_a T_b))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a)) (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a)) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a)) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e_H V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_S T_a) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))) (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.c_in V_x V_S T_a)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.c_Option_Ooption_ONone tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P V_f1)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= (tptp.c_Set_Oinsert V_xa (tptp.c_Set_Oinsert V_x _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_xa _let_1 T_a) T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_v $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OVal V_v _let_2) V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair V_e_092_060_094isub_0622 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5)))))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_exp V_exp_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list1 V_list1_H))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a))) (= V_list2 V_list2_H))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.hAPP _let_1 V_xs) (tptp.hAPP _let_1 V_ys))) (not (tptp.c_List_Odistinct V_ys T_a)) (not (tptp.c_List_Olinorder__class_Osorted V_ys T_a)) (not (tptp.c_List_Odistinct V_xs T_a)) (not (tptp.c_List_Olinorder__class_Osorted V_xs T_a)) (= V_xs V_ys)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_in V_y V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (= V_x V_y) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_in V_y V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_xa))) (not (tptp.c_in V_xa V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_xa))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y) (not (tptp.c_in V_y V_A T_a)) (not (tptp.c_in V_x V_A T_a)))) (forall ((V_C $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_Onew V_C T_a) T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_1) (tptp.c_Orderings_Obot__class_Obot _let_1))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_as $$unsorted) (V_bs $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_b))) (or (= (tptp.c_Map_Omap__upds (tptp.c_Fun_Ofun__upd V_m V_a _let_2 T_a _let_1) V_as V_bs T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__upds V_m V_as V_bs T_a T_b) V_a _let_2 T_a _let_1)) (tptp.c_in V_a (tptp.hAPP (tptp.c_List_Oset T_a) V_as) T_a))))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_V $$unsorted) (V_e $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OLAss V_V V_e T_a) T_a) (tptp.c_DefAss_OhyperUn (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_1) (tptp.c_Set_Oinsert V_V (tptp.c_Orderings_Obot__class_Obot _let_1) T_a)) (tptp.c_DefAss_O_092_060A_062 V_e T_a) T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a _let_1 T_a) (tptp.c_Set_Oinsert V_b _let_1 T_a))) (= V_a V_b)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_x V_xa T_a) (not (tptp.c_in V_xa (tptp.hAPP _let_1 V_ys) T_a)) (not (tptp.c_in V_x (tptp.hAPP _let_1 V_xs) T_a)) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oappend V_xs V_ys T_a) T_a))))) (forall ((V_m $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (or (not (= (tptp.hAPP V_m V_k) _let_1)) (not (= (tptp.hAPP V_n V_k) (tptp.c_Option_Ooption_ONone T_a))) (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)) (= (tptp.hAPP V_m V_k) _let_1)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)) (= (tptp.hAPP V_n V_k) _let_1)))) (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_xa T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.c_in V_x V_xa T_a))) (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) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_SmallStep_Ored V_P))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a)))) (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) _let_1) (not (tptp.c_lessequals V_A V_B _let_1)) (tptp.c_in V_x V_A T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A V_B _let_1) (tptp.c_in V_x V_A T_a) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) _let_1))))) (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) _let_1) (not (tptp.c_lessequals V_A V_B _let_1)) (tptp.c_in V_x V_A T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A V_B _let_1) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) _let_1)) (tptp.c_in V_x V_A T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x V_B T_a))) (tptp.c_in V_x V_B T_a) (tptp.c_in V_x V_A T_a) (= V_A V_B))) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_y V_ys T_a))) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x _let_1 T_a T_b) (tptp.c_List_Olist_OCons V_x _let_1 T_a)) (not (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y) T_b))))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_b (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_b (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_b (tptp.hAPP V_B V_x) T_a)) (not (tptp.c_in V_x V_A T_b)))) (forall ((V_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_in V_b (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) T_b) (not (tptp.c_in V_b (tptp.hAPP V_B V_a) T_b)) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((T_a $$unsorted) (V_P $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted V_xs T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_Onew V_list_H T_a))) (= V_list V_list_H))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs V_ys T_a) T_a)) T_a) (not (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_Obutlast V_ys T_a)) T_a))))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs V_ys T_a) T_a)) T_a) (not (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_Obutlast V_xs T_a)) T_a))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a)))) (forall ((V_xa $$unsorted) (T_a $$unsorted)) (tptp.c_BigStep_Ofinal (tptp.c_Expr_Oexp_OVal V_xa T_a) T_a)) (forall ((V_s_H $$unsorted) (V_s $$unsorted) (V_P $$unsorted) (V_v $$unsorted) (V_e_H $$unsorted)) (or (= V_s_H V_s) (not (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)) V_s V_e_H V_s_H)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Obutlast V_xs T_a))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_V $$unsorted) (V_T $$unsorted) (V_v $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_u _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_2) _let_2) _let_6 _let_2) _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x (tptp.c_Option_Ooption_ONone T_a)) (not (tptp.c_Option_Ois__none V_x T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Omap V_f (tptp.c_Option_Ooption_ONone T_b) T_b T_a) (tptp.c_Option_Ooption_ONone T_a))) (forall ((V_n $$unsorted)) (let ((_let_1 (tptp.c_Suc V_n))) (tptp.c_lessequals _let_1 _let_1 tptp.tc_nat))) (forall ((V_V $$unsorted) (V_T $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.c_Expr_Oexp_OVal V_u _let_2))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OBlock V_V V_T _let_6 _let_2) V_s _let_4 _let_3) (tptp.c_Pair _let_6 V_s _let_4 _let_3) _let_5 _let_5) (tptp.c_SmallStep_Ored V_P) (tptp.tc_prod _let_5 _let_5))))))))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_list V_list_H))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_list_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCast V_list_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Orev V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))) (forall ((V_m $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_m V_a V_b T_a T_b) V_c V_d T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_m V_c V_d T_a T_b) V_a V_b T_a T_b)) (= V_a V_c))) (forall ((V_m1 $$unsorted) (V_m2 $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__add V_m1 (tptp.c_Map_Omap__upds V_m2 V_xs V_ys T_a T_b) T_a T_b) (tptp.c_Map_Omap__upds (tptp.c_Map_Omap__add V_m1 V_m2 T_a T_b) V_xs V_ys T_a T_b))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_OtakeWhile V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_Orderings_Obot__class_Obot _let_1))) (or (not (= _let_2 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_b _let_1))) (= (tptp.hAPP V_B V_x) _let_2) (not (tptp.c_in V_x V_A T_b)))))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_m $$unsorted) (V_zs $$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_Map_Omap__upds V_m (tptp.c_List_Oappend V_xs V_zs T_a) V_ys T_a T_b) (tptp.c_Map_Omap__upds V_m V_xs V_ys T_a T_b)))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_m $$unsorted) (V_zs $$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_Map_Omap__upds V_m V_xs (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b) (tptp.c_Map_Omap__upds V_m V_xs V_ys T_a T_b)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_b $$unsorted) (V_e $$unsorted) (T_a $$unsorted)) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OWhile V_b V_e T_a) T_a) (tptp.c_DefAss_O_092_060A_062 V_b T_a))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_f $$unsorted) (V_opt $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Option_Omap V_f V_opt T_b T_a) (tptp.c_Option_Ooption_ONone T_a))) (= V_opt (tptp.c_Option_Ooption_ONone T_b)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ooverride__on V_f (tptp.c_Fun_Ofun__upd V_g V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_b) T_a _let_1) V_A T_a _let_1) V_a (tptp.hAPP V_g V_a) T_a _let_1) (tptp.c_Fun_Ooverride__on V_f V_g (tptp.c_Set_Oinsert V_a V_A T_a) T_a _let_1)))) (forall ((V_e_H $$unsorted) (V_v $$unsorted) (V_P $$unsorted) (V_s $$unsorted) (V_s_H $$unsorted)) (let ((_let_1 (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)))) (or (= V_e_H _let_1) (not (tptp.c_BigStep_Oeval V_P _let_1 V_s V_e_H V_s_H))))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_x)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_z $$unsorted)) (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_x V_z T_a T_b) (tptp.c_Fun_Ofun__upd V_f V_x V_z T_a T_b))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a T_b) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x V_ys T_a T_b) T_a)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y) T_b))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (V_l $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x V_l T_a) T_a) T_a) (tptp.c_List_OtakeWhile V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))) (forall ((V_n $$unsorted)) (let ((_let_1 (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (or (= V_n _let_1) (not (tptp.c_lessequals V_n _let_1 tptp.tc_nat))))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Olast (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Olast V_ys T_a)) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Othrow V_exp T_a)))) (forall ((V_P $$unsorted) (V_v $$unsorted) (V_s $$unsorted)) (let ((_let_1 (tptp.c_Expr_Oexp_OVal V_v (tptp.tc_List_Olist tptp.tc_String_Ochar)))) (tptp.c_BigStep_Oeval V_P _let_1 V_s _let_1 V_s))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a V_A T_a) (= V_a V_b) (not (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x V_xs T_a T_b) _let_1) (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize V_xs _let_1)))))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((V_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 ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Suc V_nat_H) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((V_m $$unsorted)) (not (= (tptp.c_Suc V_m) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (forall ((T_a $$unsorted)) (tptp.c_Option_Ois__none (tptp.c_Option_Ooption_ONone T_a) T_a)) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.c_Option_Ooption_ONone T_b) T_a T_b) V_f1)) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_a V_d) (= V_a V_c)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_b V_c) (= V_a V_c)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_a V_d) (= V_b V_d)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (let ((_let_1 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b _let_1 T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d _let_1 T_a) T_a))) (= V_b V_c) (= V_b V_d)))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e V_e_092_060_094isub_0622 _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e_H V_e_092_060_094isub_0622 _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1) (not (tptp.c_in V_p V_r _let_1))))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_b T_a) V_f)) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_x) V_y)) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_a T_b) V_f)) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_aa $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_aa) V_x) V_y)) (forall ((V_f $$unsorted) (V_x $$unsorted) (T_aa $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_aa T_a) V_f)) (forall ((V_C $$unsorted) (V_e $$unsorted) (T_a $$unsorted)) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OCast V_C V_e T_a) T_a) (tptp.c_DefAss_O_092_060A_062 V_e T_a))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_Orderings_Obot__class_Obot _let_1))) (or (= V_A _let_2) (not (tptp.c_lessequals V_A _let_2 _let_1)))))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_Orderings_Obot__class_Obot _let_1))) (tptp.c_lessequals _let_2 _let_2 _let_1)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.hAPP _let_1 (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x V_xs T_a T_b)) (tptp.c_Set_Oinsert V_x (tptp.hAPP _let_1 V_xs) T_a))))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.tc_prod T_a T_a))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a V_A T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_zs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_OCons V_y V_zs T_a) T_a) T_a)))) (forall ((V_xs $$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 ((V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0622_H $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_P $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v_092_060_094isub_0621 $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (let ((_let_8 (tptp.c_Pair V_e_092_060_094isub_0622_H V_s_092_060_094isub_0622 _let_4 _let_3))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 _let_2) V_s_092_060_094isub_0620 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0622 V_s_092_060_094isub_0621 _let_4 _let_3) _let_8 _let_5 _let_5) _let_7 _let_6)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e_092_060_094isub_0621 V_s_092_060_094isub_0620 _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OVal V_v_092_060_094isub_0621 _let_2) V_s_092_060_094isub_0621 _let_4 _let_3) _let_5 _let_5) _let_7 _let_6)))))))))))) (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olast V_xs T_a))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r _let_1)))))) (forall ((V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)))))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (let ((_let_2 (tptp.hAPP V_n V_k))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)) (= _let_2 (tptp.c_Option_Ooption_ONone T_a)) (= _let_2 _let_1))))) (forall ((V_P $$unsorted) (V_e_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_s_092_060_094isub_0620 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0622 $$unsorted) (V_s_092_060_094isub_0621 $$unsorted) (V_v $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (or (tptp.c_BigStep_Oeval V_P (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0620 V_e_092_060_094isub_0621 _let_1) V_s_092_060_094isub_0620 V_e_092_060_094isub_0622 V_s_092_060_094isub_0622) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0621 V_s_092_060_094isub_0621 V_e_092_060_094isub_0622 V_s_092_060_094isub_0622)) (not (tptp.c_BigStep_Oeval V_P V_e_092_060_094isub_0620 V_s_092_060_094isub_0620 (tptp.c_Expr_Oexp_OVal V_v _let_1) V_s_092_060_094isub_0621))))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (= (tptp.c_Set_Oinsert V_a (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) V_B T_b _let_1) T_a) (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot _let_1) T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Orev V_xs T_a) T_a)))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B V_x) V_b))) (not (tptp.c_in V_x V_A T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR V_A V_B T_a (tptp.tc_fun T_b tptp.tc_bool)) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B V_a) V_b))) (not (tptp.c_in V_a V_A T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_m $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.hAPP V_m V_k) _let_1)) (not (= (tptp.hAPP V_n V_k) _let_1)) (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.c_Suc V_n))) (or (= V_m _let_1) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals V_m _let_1 tptp.tc_nat))))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (tptp.c_in V_x (tptp.hAPP _let_1 V_xs) T_a) (not (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_OtakeWhile V_P V_xs T_a)) T_a))))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_val $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OVal V_val T_a)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_f)) (= (tptp.hAPP V_f V_x) V_y))) (forall ((V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (V_m1 $$unsorted) (T_a $$unsorted) (T_c $$unsorted)) (or (not (= (tptp.hAPP V_m2 V_k) (tptp.c_Option_Ooption_ONone T_b))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_m2 $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_m1 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m2 V_k) (tptp.c_Option_Ooption_ONone T_a))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_a T_c T_b) (tptp.c_Option_Ooption_ONone T_c)))) (forall ((V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_x V_xa T_a) (not (tptp.c_in V_xa (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a)) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))) (forall ((V_a $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (tptp.c_List_Odistinct (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x V_xs T_a T_b) T_a) (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((V_V $$unsorted) (V_e $$unsorted) (V_s $$unsorted) (V_e_H $$unsorted) (V_s_H $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_prod (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))) (tptp.tc_fun _let_2 _let_1)))) (let ((_let_4 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_prod _let_5 _let_5))) (let ((_let_7 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_5))) (or (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e _let_2) V_s _let_4 _let_3) (tptp.c_Pair (tptp.c_Expr_Oexp_OLAss V_V V_e_H _let_2) V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e V_s _let_4 _let_3) (tptp.c_Pair V_e_H V_s_H _let_4 _let_3) _let_5 _let_5) _let_7 _let_6))))))))))) (forall ((V_f $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Map_Omap__upds V_f V_xs V_ys T_a T_b) V_x) (tptp.hAPP V_f V_x)) (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a))) (forall ((T_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x V_xs T_a T_b) T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Orev V_xs T_a) T_a))) (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) (tptp.c_List_OtakeWhile V_P V_xs T_a)) T_a)))) (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ooverride__on V_f V_g (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) V_f)) (forall ((V_a_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Osplice (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_OCons V_y (tptp.c_List_Osplice V_xs V_ys T_a) T_a) T_a))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_zs $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_y V_zs T_a))) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted _let_1 T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x _let_1 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_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) (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_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 ((T_a $$unsorted) (V_xs $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted V_xs T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a) V_x)) (forall ((V_xs $$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_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= V_xs (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a)))) (forall ((V_ys $$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_x $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a)) T_a) (tptp.c_in V_x (tptp.hAPP _let_1 V_xa) T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a)) T_a) (tptp.c_in V_x (tptp.hAPP _let_1 V_xb) T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted)) (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a)) T_a)) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a)) (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Oappend _let_1 _let_1 T_a) _let_1))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= _let_1 (tptp.c_List_Orev _let_1 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) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_OtakeWhile V_P _let_1 T_a) _let_1))) (forall ((V_ys $$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 ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_ys)) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((V_xs $$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 $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_xs)) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osplice V_xs (tptp.c_List_Olist_ONil T_a) T_a) V_xs)) (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Osplice (tptp.c_List_Olist_ONil T_a) V_ys T_a) V_ys)) (forall ((T_a $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= _let_1 (tptp.c_List_Orev V_xs T_a))) (= V_xs _let_1)))) (forall ((T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Olist_ONil T_a) T_a)) (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) (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 ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= _let_1 (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys _let_1)))) (forall ((T_a $$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 ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys 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_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a))) (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)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) V_xs)) (forall ((T_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_ONil T_a) T_a))) (forall ((V_m $$unsorted) (V_as $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Map_Omap__upds V_m V_as (tptp.c_List_Olist_ONil T_b) T_a T_b) V_m)) (forall ((V_m $$unsorted) (T_a $$unsorted) (V_bs $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__upds V_m (tptp.c_List_Olist_ONil T_a) V_bs T_a T_b) V_m)) (forall ((V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Orev V_xs T_a) _let_1)) (= V_xs _let_1)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= _let_1 (tptp.c_List_Oappend _let_1 _let_1 T_a)))) (forall ((T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Orev _let_1 T_a) _let_1))) (forall ((V_m $$unsorted) (V_a $$unsorted) (V_as $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_bs $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__upds V_m (tptp.c_List_Olist_OCons V_a V_as T_a) (tptp.c_List_Olist_OCons V_b V_bs T_b) T_a T_b) (tptp.c_Map_Omap__upds (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_b) T_a (tptp.tc_Option_Ooption T_b)) V_as V_bs T_a T_b))) (forall ((V_as $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Olast V_as T_a) (tptp.hAPP (tptp.c_List_Oset T_a) V_as) T_a) (= V_as (tptp.c_List_Olist_ONil 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 ((T_a $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (= (tptp.hAPP _let_1 (tptp.c_List_Orev V_xs T_a)) (tptp.hAPP _let_1 V_xs)))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.c_Option_Ooption_OSome T_b))) (or (not (= (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_2 V_x) T_a _let_1) (tptp.c_Fun_Ofun__upd V_n V_a (tptp.hAPP _let_2 V_y) T_a _let_1))) (= V_x V_y))))) (forall ((V_t $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (or (not (= (tptp.hAPP V_t V_k) _let_1)) (= (tptp.c_Fun_Ofun__upd V_t V_k _let_1 T_b (tptp.tc_Option_Ooption T_a)) V_t)))) (forall ((V_m $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (T_aa $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_xa _let_1 T_aa (tptp.tc_Option_Ooption T_a)) V_xa) _let_1))) (forall ((V_m1 $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_v $$unsorted) (V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_v))) (or (not (= (tptp.hAPP V_m1 V_x) _let_1)) (not (= (tptp.hAPP V_m2 V_k) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_x))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) _let_1)))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) V_xa) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 V_xa))))) (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.hAPP (tptp.c_Option_Ooption_OSome tptp.t_b) V_a) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 V_a))))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_m) V_n tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))) (forall ((V_n $$unsorted)) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_n tptp.tc_nat))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B _let_1) (not (tptp.c_lessequals V_A V_B _let_1)) (not (tptp.c_in V_x V_B T_a))))) (forall ((V_f $$unsorted) (V_g $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption T_b))) (let ((_let_2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_y))) (= (tptp.c_Map_Omap__add V_f (tptp.c_Fun_Ofun__upd V_g V_x _let_2 T_a _let_1) T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__add V_f V_g T_a T_b) V_x _let_2 T_a _let_1))))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAss V_exp1 V_list1 V_list2 V_exp2 T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_Othrow V_exp_H T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_zs $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_y V_zs T_a))) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x _let_1 T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted _let_1 T_a)) (not (tptp.c_lessequals V_x V_y T_a))))) (tptp.c_lessequals _let_20 _let_20 tptp.tc_nat) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted)) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 T_a) T_a) (tptp.c_DefAss_OhyperUn (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0622 T_a) T_a))) (forall ((V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_n $$unsorted)) (not (= (tptp.c_Suc V_n) V_n))) (forall ((V_n $$unsorted)) (not (= V_n (tptp.c_Suc V_n)))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_m1 $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_m2 $$unsorted) (V_k $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_ONone T_a))) (or (not (= (tptp.hAPP V_m1 V_x) _let_1)) (not (= (tptp.hAPP V_m2 V_k) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_x))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_b T_a T_c) _let_1)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted)) (= (tptp.c_DefAss_O_092_060A_062 (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 T_a) T_a) (tptp.c_DefAss_OhyperUn (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0622 T_a) T_a))) (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_n $$unsorted)) (tptp.c_lessequals V_n V_n tptp.tc_nat)) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_k tptp.tc_nat) (not (tptp.c_lessequals V_j V_k tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))) (forall ((V_x $$unsorted)) (tptp.c_lessequals V_x V_x tptp.tc_nat)) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_A T_a)))) (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_t V_B T_a) (not (tptp.c_in V_t V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))) (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals V_A V_C _let_1) (not (tptp.c_lessequals V_B V_C _let_1)) (not (tptp.c_lessequals V_A V_B _let_1))))) (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))) (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))) (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a) (not (tptp.c_in V_a V_B T_a)))) (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a) (not (tptp.c_in V_a V_A T_a)))) (forall ((T_a $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted V_ys T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))) (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted V_xs T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))) (forall ((V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (tptp.c_in V_x (tptp.hAPP _let_1 V_xs) T_a) (not (tptp.c_in V_x (tptp.hAPP _let_1 (tptp.c_List_Obutlast V_xs T_a)) T_a))))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_OtakeWhile V_P V_xs T_a) V_xs)) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a)))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oconcat (tptp.c_List_Olist_OCons V_x V_xs (tptp.tc_List_Olist T_a)) T_a) (tptp.c_List_Oappend V_x (tptp.c_List_Oconcat V_xs T_a) T_a))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a)) (forall ((V_val_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val_H T_a) (tptp.c_Expr_Oexp_OCast V_list V_exp T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.c_Orderings_Obot__class_Obot _let_1))) (let ((_let_3 (tptp.c_Set_Oinsert V_x _let_2 T_a))) (or (= V_A _let_3) (= V_A _let_2) (not (tptp.c_lessequals V_A _let_3 _let_1))))))) (forall ((V_exp_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_Othrow V_exp_H T_a) (tptp.c_Expr_Oexp_OWhile V_exp1 V_exp2 T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_exp V_exp_H))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_ty V_ty_H))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_ty_H $$unsorted) (V_exp_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OBlock V_a_H V_ty_H V_exp_H T_a))) (= V_a V_a_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp3 V_exp3_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (V_exp3 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OCond V_exp1 V_exp2 V_exp3 T_a) (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_list $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_exp_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCast V_list V_exp T_a) (tptp.c_Expr_Oexp_OLAss V_a_H V_exp_H T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OFAss V_exp1_H V_list1_H V_list2_H V_exp2_H T_a)))) (forall ((V_a $$unsorted) (V_ty $$unsorted) (V_exp $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OBlock V_a V_ty V_exp T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_z $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_z) (tptp.hAPP V_f V_z)) (= V_z V_x))) (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_z $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_z) (tptp.hAPP V_f V_z)) (= V_z V_x))) (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Obutlast V_ys T_a) T_a)) (= V_ys (tptp.c_List_Olist_ONil T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_list $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCall V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_Onew V_list T_a)))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_a V_a_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_list V_list_H))) (forall ((V_exp1 $$unsorted) (V_list $$unsorted) (V_a $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1 V_list V_a V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_a $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_a V_C T_a) (tptp.c_Set_Oinsert V_a V_D T_a) _let_1) (not (tptp.c_lessequals V_C V_D _let_1))))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (V_exp3_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OCond V_exp1_H V_exp2_H V_exp3_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp2 V_exp2_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_bop V_bop_H))) (forall ((V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_bop_H $$unsorted) (V_exp2_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1_H V_bop_H V_exp2_H T_a))) (= V_exp1 V_exp1_H))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_exp $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OLAss V_a V_exp T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_exp_H $$unsorted) (V_list1_H $$unsorted) (V_list2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_bop $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OFAcc V_exp_H V_list1_H V_list2_H T_a) (tptp.c_Expr_Oexp_OBinOp V_exp1 V_bop V_exp2 T_a)))) (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize (tptp.c_List_OtakeWhile V_P V_xs T_a) _let_1) (tptp.c_Nat_Osize__class_Osize V_xs _let_1) tptp.tc_nat))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat)))) (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (forall ((V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp1 $$unsorted) (V_exp2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a)))) (forall ((V_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OFAcc V_exp V_list1 V_list2 T_a)))) (forall ((V_exp1 $$unsorted) (V_exp2 $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_list_H $$unsorted) (V_a_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1 V_exp2 T_a) (tptp.c_Expr_Oexp_OTryCatch V_exp1_H V_list_H V_a_H V_exp2_H T_a)))) (forall ((V_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_exp1_H $$unsorted) (V_exp2_H $$unsorted) (T_a $$unsorted) (V_exp $$unsorted) (V_list1 $$unsorted) (V_list2 $$unsorted)) (not (= (tptp.c_Expr_Oexp_OSeq V_exp1_H V_exp2_H T_a) (tptp.c_Expr_Oexp_OCall V_exp V_list1 V_list2 T_a)))) (forall ((V_val $$unsorted) (T_a $$unsorted) (V_val_H $$unsorted)) (or (not (= (tptp.c_Expr_Oexp_OVal V_val T_a) (tptp.c_Expr_Oexp_OVal V_val_H T_a))) (= V_val V_val_H))) (forall ((V_list $$unsorted) (T_a $$unsorted) (V_exp1_H $$unsorted) (V_exp2_H $$unsorted)) (not (= (tptp.c_Expr_Oexp_Onew V_list T_a) (tptp.c_Expr_Oexp_OWhile V_exp1_H V_exp2_H T_a)))) (forall ((V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (= (tptp.c_Transitive__Closure_Ortrancl _let_1 T_a) _let_1))) (forall ((V_n $$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_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 ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.c_Option_Ooption_OSome T_a) V_A T_a (tptp.tc_Option_Ooption T_a))) (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.c_Option_Ois__none (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x) T_a))) (forall ((T_a $$unsorted) (V_xa $$unsorted)) (not (= (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_xa) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_a_H) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_m $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_y))) (or (not (= (tptp.hAPP V_m V_x) _let_2)) (= V_x V_a) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_1 V_b) T_b (tptp.tc_Option_Ooption T_a)) V_x) _let_2))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_y))) (or (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_1 V_b) T_b (tptp.tc_Option_Ooption T_a)) V_x) _let_2)) (= (tptp.hAPP V_m V_x) _let_2) (= V_b V_y))))) (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (let ((_let_2 (tptp.hAPP _let_1 V_y))) (or (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_a (tptp.hAPP _let_1 V_b) T_b (tptp.tc_Option_Ooption T_a)) V_x) _let_2)) (= (tptp.hAPP V_m V_x) _let_2) (= V_x V_a))))) (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Ooption_Ooption__case V_f1 V_f2 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_a) T_a T_b) (tptp.hAPP V_f2 V_a))) (forall ((V_b $$unsorted) (V_y $$unsorted) (V_m $$unsorted) (V_x $$unsorted) (T_aa $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_aa))) (or (= V_b V_y) (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_m V_x (tptp.hAPP _let_1 V_b) T_a (tptp.tc_Option_Ooption T_aa)) V_x) (tptp.hAPP _let_1 V_y)))))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_y)))) (forall ((T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_a_H)))) (forall ((V_m $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (or (not (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)) (= (tptp.hAPP V_m V_k) _let_1) (= (tptp.hAPP V_n V_k) _let_1)))) (forall ((V_f $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Omap V_f (tptp.hAPP (tptp.c_Option_Ooption_OSome T_b) V_x) T_b T_a) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) (tptp.hAPP V_f V_x)))) (forall ((V_m2 $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_k_H $$unsorted) (V_m1 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m2 V_k) (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_k_H))) (= (tptp.c_Map_Omap__comp V_m1 V_m2 V_k T_a T_c T_b) (tptp.hAPP V_m1 V_k_H)))) (forall ((V_P $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Option__Xospec__1__1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x) V_P T_a)))) (tptp.hBOOL (tptp.hAPP V_P V_x)))) (forall ((V_n $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_xx $$unsorted) (V_m $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_xx))) (or (not (= (tptp.hAPP V_n V_k) _let_1)) (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)))) (forall ((V_n $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_m $$unsorted) (T_b $$unsorted)) (let ((_let_1 (tptp.hAPP (tptp.c_Option_Ooption_OSome T_a) V_x))) (or (not (= (tptp.hAPP V_n V_k) _let_1)) (= (tptp.hAPP (tptp.c_Map_Omap__add V_m V_n T_b T_a) V_k) _let_1)))) (forall ((V_e_H $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_Vs $$unsorted) (V_vs $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted) (V_P $$unsorted) (V_Ts $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_prod _let_7 _let_7))) (let ((_let_9 (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7))) (let ((_let_10 (tptp.tc_List_Olist tptp.tc_Value_Oval))) (let ((_let_11 (tptp.tc_prod _let_10 _let_6))) (let ((_let_12 (tptp.tc_List_Olist tptp.tc_Type_Oty))) (let ((_let_13 (tptp.tc_List_Olist _let_2))) (let ((_let_14 (tptp.c_Nat_Osize__class_Osize V_Ts _let_12))) (or (not (tptp.c_BigStep_Ofinal V_e_H _let_2)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_e (tptp.c_Pair V_h (tptp.c_Map_Omap__upds V_l V_Vs V_vs _let_2 tptp.tc_Value_Oval) _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8)) (not (tptp.c_List_Odistinct V_Vs _let_2)) (not (= (tptp.c_Nat_Osize__class_Osize V_vs _let_10) _let_14)) (not (= (tptp.c_Nat_Osize__class_Osize V_Vs _let_13) _let_14)) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_SmallStep_Oblocks (tptp.c_Pair V_Vs (tptp.c_Pair V_Ts (tptp.c_Pair V_vs V_e _let_10 _let_6) _let_12 _let_11) _let_13 (tptp.tc_prod _let_12 _let_11))) (tptp.c_Pair V_h V_l _let_4 _let_3) _let_6 _let_5) (tptp.c_Pair V_e_H (tptp.c_Pair V_h_H (tptp.c_Fun_Ooverride__on V_l_H V_l (tptp.hAPP (tptp.c_List_Oset _let_2) V_Vs) _let_2 _let_1) _let_4 _let_3) _let_6 _let_5) _let_7 _let_7) _let_9 _let_8))))))))))))))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_v $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OVal V_v T_a) V_A T_a)) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_Othrow V_e T_a) V_A T_a)))) (forall ((V_e $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_Othrow V_e T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCast V_C V_e T_a) V_A T_a)))) (forall ((V_C $$unsorted) (V_e $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCast V_C V_e T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_M $$unsorted) (V_es $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCall V_e V_M V_es T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_F $$unsorted) (V_D $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAcc V_e V_F V_D T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_V $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OLAss V_V V_e T_a) V_A T_a)))) (forall ((V_V $$unsorted) (V_e $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OLAss V_V V_e T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OWhile V_e V_c T_a) V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_Onew V_C T_a) V_A T_a)) (forall ((V_e $$unsorted) (V_A_H $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A_H T_a) (not (tptp.c_DefAss_Ohyper__subset V_A V_A_H T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e $$unsorted) (V_A_H $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e V_A_H T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)) (not (tptp.c_DefAss_Ohyper__subset V_A V_A_H T_a)))) (forall ((V_xss $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Oconcat V_xss T_a) _let_2)) (= V_x _let_2) (not (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset _let_1) V_xss) _let_1)))))) (forall ((T_a $$unsorted) (V_xss $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_List_Olist_ONil T_a))) (or (not (= _let_2 (tptp.c_List_Oconcat V_xss T_a))) (= V_x _let_2) (not (tptp.c_in V_x (tptp.hAPP (tptp.c_List_Oset _let_1) V_xss) _let_1)))))) (forall ((T_a $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (let ((_let_2 (tptp.c_List_Oset T_a))) (= (tptp.hAPP _let_2 (tptp.c_List_Oconcat V_xs T_a)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP (tptp.c_List_Oset _let_1) V_xs) _let_2 _let_1 (tptp.tc_fun T_a tptp.tc_bool)))))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_A $$unsorted) (V_e $$unsorted) (T_a $$unsorted) (V_e_092_060_094isub_0622 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e T_a) T_a) T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e_092_060_094isub_0622 $$unsorted) (V_A $$unsorted) (V_e $$unsorted) (T_a $$unsorted) (V_e_092_060_094isub_0621 $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e T_a) T_a) T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e T_a) T_a))) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OCond V_e V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 _let_1 T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 _let_1 T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a))))) (forall ((V_e $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OWhile V_e V_c T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_c (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e T_a) T_a) T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e V_A T_a)))) (forall ((V_e_092_060_094isub_0622 $$unsorted) (V_A $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (T_a $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) T_a) T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_bop $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) T_a) T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a)))) (forall ((V_e_092_060_094isub_0622 $$unsorted) (V_A $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_F $$unsorted) (V_D $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) T_a) T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OSeq V_e_092_060_094isub_0621 V_e_092_060_094isub_0622 T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) T_a) T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a)))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_e $$unsorted) (T_a $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_c (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e T_a) T_a) T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OWhile V_e V_c T_a) V_A T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_F $$unsorted) (V_D $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OFAss V_e_092_060_094isub_0621 V_F V_D V_e_092_060_094isub_0622 T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) T_a) T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a)))) (forall ((V_e_092_060_094isub_0622 $$unsorted) (V_A $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_bop $$unsorted)) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_O_092_060A_062 V_e_092_060_094isub_0621 T_a) T_a) T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OBinOp V_e_092_060_094isub_0621 V_bop V_e_092_060_094isub_0622 T_a) V_A T_a)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A_H $$unsorted)) (or (tptp.c_DefAss_Ohyper__subset (tptp.c_DefAss_OhyperUn V_A V_B T_a) (tptp.c_DefAss_OhyperUn V_A_H V_B T_a) T_a) (not (tptp.c_DefAss_Ohyper__subset V_A V_A_H T_a)))) (forall ((V_e_092_060_094isub_0621 $$unsorted) (V_C $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 T_a) V_A T_a) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_1) (tptp.c_Set_Oinsert V_V (tptp.c_Orderings_Obot__class_Obot _let_1) T_a)) T_a) T_a)) (not (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0621 V_A T_a))))) (forall ((V_e_092_060_094isub_0622 $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_V $$unsorted) (V_e_092_060_094isub_0621 $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (or (tptp.c_DefAss_O_092_060D_062 V_e_092_060_094isub_0622 (tptp.c_DefAss_OhyperUn V_A (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_1) (tptp.c_Set_Oinsert V_V (tptp.c_Orderings_Obot__class_Obot _let_1) T_a)) T_a) T_a) (not (tptp.c_DefAss_O_092_060D_062 (tptp.c_Expr_Oexp_OTryCatch V_e_092_060_094isub_0621 V_C V_V V_e_092_060_094isub_0622 T_a) V_A T_a))))) (forall ((V_V $$unsorted) (V_Vs $$unsorted) (V_T $$unsorted) (V_Ts $$unsorted) (V_v $$unsorted) (V_vs $$unsorted) (V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_List_Olist tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod _let_3 _let_2))) (let ((_let_5 (tptp.tc_List_Olist tptp.tc_Type_Oty))) (let ((_let_6 (tptp.tc_prod _let_5 _let_4))) (let ((_let_7 (tptp.tc_List_Olist _let_1))) (= (tptp.c_SmallStep_Oblocks (tptp.c_Pair (tptp.c_List_Olist_OCons V_V V_Vs _let_1) (tptp.c_Pair (tptp.c_List_Olist_OCons V_T V_Ts tptp.tc_Type_Oty) (tptp.c_Pair (tptp.c_List_Olist_OCons V_v V_vs tptp.tc_Value_Oval) V_e _let_3 _let_2) _let_5 _let_4) _let_7 _let_6)) (tptp.c_Expr_Oexp_OBlock V_V V_T (tptp.c_Expr_Oexp_OSeq (tptp.c_Expr_Oexp_OLAss V_V (tptp.c_Expr_Oexp_OVal V_v _let_1) _let_1) (tptp.c_SmallStep_Oblocks (tptp.c_Pair V_Vs (tptp.c_Pair V_Ts (tptp.c_Pair V_vs V_e _let_3 _let_2) _let_5 _let_4) _let_7 _let_6)) _let_1) _let_1)))))))))) (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_1) (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot _let_1) T_a)))) (= (tptp.c_DefAss_OhyperUn V_A _let_2 T_a) (tptp.c_DefAss_OhyperUn _let_2 V_A T_a))))) (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_fun T_a tptp.tc_bool))) (let ((_let_2 (tptp.hAPP (tptp.c_Option_Ooption_OSome _let_1) (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot _let_1) T_a)))) (= (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_OhyperUn _let_2 V_B T_a) T_a) (tptp.c_DefAss_OhyperUn _let_2 (tptp.c_DefAss_OhyperUn V_A V_B T_a) T_a))))) (forall ((V_vs $$unsorted) (V_Ts $$unsorted) (V_Vs $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_P $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_3 (tptp.tc_fun _let_1 _let_2))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_1 (tptp.tc_fun (tptp.tc_prod _let_1 _let_1) _let_2)))))) (let ((_let_5 (tptp.tc_prod _let_4 _let_3))) (let ((_let_6 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.c_Pair V_h V_l _let_4 _let_3))) (let ((_let_9 (tptp.tc_List_Olist tptp.tc_Value_Oval))) (let ((_let_10 (tptp.tc_prod _let_9 _let_6))) (let ((_let_11 (tptp.tc_List_Olist tptp.tc_Type_Oty))) (let ((_let_12 (tptp.tc_List_Olist _let_1))) (let ((_let_13 (tptp.c_Nat_Osize__class_Osize V_Ts _let_11))) (or (not (= (tptp.c_Nat_Osize__class_Osize V_vs _let_9) _let_13)) (not (= (tptp.c_Nat_Osize__class_Osize V_Vs _let_12) _let_13)) (tptp.c_in (tptp.c_Pair (tptp.c_Pair (tptp.c_SmallStep_Oblocks (tptp.c_Pair V_Vs (tptp.c_Pair V_Ts (tptp.c_Pair V_vs V_e _let_9 _let_6) _let_11 _let_10) _let_12 (tptp.tc_prod _let_11 _let_10))) _let_8 _let_6 _let_5) (tptp.c_Pair V_e _let_8 _let_6 _let_5) _let_7 _let_7) (tptp.c_Transitive__Closure_Ortrancl (tptp.c_SmallStep_Ored V_P) _let_7) (tptp.tc_prod _let_7 _let_7)) (not (tptp.c_BigStep_Ofinal V_e _let_1))))))))))))))))) (forall ((V_xs $$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_x V_y)))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x _let_1 T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y _let_1 T_a) T_a))) (= V_xs V_ys)))) (forall ((T_a $$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 ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_ONil T_a))) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_List_Olinorder__class_Oinsort__key V_f V_x _let_1 T_a T_b) (tptp.c_List_Olist_OCons V_x _let_1 T_a))))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Obutlast V_xs T_a) T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) V_x)) (forall ((V_x $$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)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a))) (= (tptp.c_List_Osplice _let_1 (tptp.c_List_Olist_ONil T_a) T_a) _let_1))) (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (or (not (= (tptp.c_List_Orev V_xs T_a) _let_1)) (= V_xs _let_1)))) (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))) (forall ((V_x $$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_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 $$unsorted)) (or (= (tptp.c_List_Olast (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olast V_xs T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((V_x $$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_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 ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (forall ((V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist_OCons V_x V_ys T_a) _let_1) (tptp.c_Nat_Osize__class_Osize V_ys _let_1) tptp.tc_nat)))) (forall ((V_xa $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize V_xa _let_1)) (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist_OCons V_x V_xa T_a) _let_1)))) (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist_OCons V_x V_xa T_a) _let_1) (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize V_xa _let_1))))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (= (tptp.hAPP _let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a)) (tptp.c_Set_Oinsert V_x (tptp.hAPP _let_1 V_xs) T_a)))) (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (tptp.c_lessequals (tptp.hAPP _let_1 V_xs) (tptp.hAPP _let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a)) (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((V_y $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_x $$unsorted)) (let ((_let_1 (tptp.c_List_Oset T_a))) (or (tptp.c_in V_y (tptp.hAPP _let_1 V_xs) T_a) (= V_y V_x) (not (tptp.c_in V_y (tptp.hAPP _let_1 (tptp.c_List_Olist_OCons V_x V_xs T_a)) T_a))))) _let_19 _let_18 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_List_Oset T_a) V_xs) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((T_a $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.c_List_Oset T_a) (tptp.c_List_Olist_ONil T_a)))) (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hAPP (tptp.c_List_Oset T_a) V_xs))) (= V_xs (tptp.c_List_Olist_ONil T_a)))) (forall ((T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (forall ((V_ps $$unsorted) (V_vs $$unsorted) (V_Ts $$unsorted) (V_P $$unsorted) (V_e $$unsorted) (V_h $$unsorted) (V_l $$unsorted) (V_e_H $$unsorted) (V_h_H $$unsorted) (V_l_H $$unsorted)) (let ((_let_1 (tptp.tc_Option_Ooption tptp.tc_Value_Oval))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_3 (tptp.tc_fun _let_2 _let_1))) (let ((_let_4 (tptp.tc_fun tptp.tc_nat (tptp.tc_Option_Ooption (tptp.tc_prod _let_2 (tptp.tc_fun (tptp.tc_prod _let_2 _let_2) _let_1)))))) (let ((_let_5 (tptp.tc_Expr_Oexp _let_2))) (let ((_let_6 (tptp.tc_List_Olist tptp.tc_Value_Oval))) (let ((_let_7 (tptp.tc_prod _let_6 _let_5))) (let ((_let_8 (tptp.tc_List_Olist tptp.tc_Type_Oty))) (let ((_let_9 (tptp.tc_List_Olist _let_2))) (let ((_let_10 (tptp.c_Nat_Osize__class_Osize V_ps _let_9))) (or (not (= _let_10 (tptp.c_Nat_Osize__class_Osize V_vs _let_6))) (not (= _let_10 (tptp.c_Nat_Osize__class_Osize V_Ts _let_8))) (tptp.c_BigStep_Oeval V_P V_e (tptp.c_Pair V_h (tptp.c_Map_Omap__upds V_l V_ps V_vs _let_2 tptp.tc_Value_Oval) _let_4 _let_3) V_e_H (tptp.c_Pair V_h_H (tptp.c_Equivalence_Osko__Equivalence__XblocksEval__1__1 V_P V_e V_e_H V_h V_h_H V_l V_ps V_vs) _let_4 _let_3)) (not (tptp.c_BigStep_Oeval V_P (tptp.c_SmallStep_Oblocks (tptp.c_Pair V_ps (tptp.c_Pair V_Ts (tptp.c_Pair V_vs V_e _let_6 _let_5) _let_8 _let_7) _let_9 (tptp.tc_prod _let_8 _let_7))) (tptp.c_Pair V_h V_l _let_4 _let_3) V_e_H (tptp.c_Pair V_h_H V_l_H _let_4 _let_3))))))))))))))) (forall ((T_a $$unsorted)) (= (tptp.c_List_Oconcat (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a)) T_a) (tptp.c_List_Olist_ONil T_a))) (forall ((V_e $$unsorted)) (let ((_let_1 (tptp.tc_List_Olist tptp.tc_String_Ochar))) (let ((_let_2 (tptp.tc_Expr_Oexp _let_1))) (let ((_let_3 (tptp.tc_List_Olist tptp.tc_Value_Oval))) (let ((_let_4 (tptp.tc_prod _let_3 _let_2))) (let ((_let_5 (tptp.tc_List_Olist tptp.tc_Type_Oty))) (= (tptp.c_SmallStep_Oblocks (tptp.c_Pair (tptp.c_List_Olist_ONil _let_1) (tptp.c_Pair (tptp.c_List_Olist_ONil tptp.tc_Type_Oty) (tptp.c_Pair (tptp.c_List_Olist_ONil tptp.tc_Value_Oval) V_e _let_3 _let_2) _let_5 _let_4) (tptp.tc_List_Olist _let_1) (tptp.tc_prod _let_5 _let_4))) V_e))))))) (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))) (forall ((V_a $$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_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 $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))) _let_17 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_DefAss_OhyperUn (tptp.c_DefAss_OhyperUn V_A V_B T_a) V_C T_a) (tptp.c_DefAss_OhyperUn V_A (tptp.c_DefAss_OhyperUn V_B V_C T_a) T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (let ((_let_1 (tptp.c_Option_Ooption_OSome T_a))) (or (not (= (tptp.hAPP _let_1 V_a) (tptp.hAPP _let_1 V_a_H))) (= V_a V_a_H)))) (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_ONil T_a)))) (forall ((V_a_H $$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 $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))) (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))) _let_16 _let_14 (or (not _let_3) (not _let_11)) (or _let_11 _let_3) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Complete__Lattice_Ocomplete__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Obot T_1)))) (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))) (tptp.class_Orderings_Opreorder tptp.tc_nat) (tptp.class_Orderings_Olinorder tptp.tc_nat) (tptp.class_Orderings_Oorder tptp.tc_nat) (tptp.class_Orderings_Obot tptp.tc_nat) (tptp.class_HOL_Oord tptp.tc_nat) (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool) (tptp.class_Orderings_Opreorder tptp.tc_bool) (tptp.class_Orderings_Oorder tptp.tc_bool) (tptp.class_Orderings_Obot tptp.tc_bool) (tptp.class_HOL_Oord tptp.tc_bool) (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)) (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))))))))))))))))))))))))))))))))))))))))
% 0.54/0.96  )
% 0.54/0.96  % SZS output end Proof for SWV925-1
% 0.54/0.96  % cvc5---1.0.5 exiting
% 0.54/0.97  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------