TSTP Solution File: ITP374_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 03:33:36 EDT 2023
% Result : Theorem 16.02s 16.38s
% Output : Proof 16.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.25 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.26 % Command : do_cvc5 %s %d
% 0.26/0.48 % Computer : n031.cluster.edu
% 0.26/0.48 % Model : x86_64 x86_64
% 0.26/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.48 % Memory : 8042.1875MB
% 0.26/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.26/0.48 % CPULimit : 300
% 0.26/0.48 % WCLimit : 300
% 0.26/0.48 % DateTime : Sun Aug 27 15:04:09 EDT 2023
% 0.26/0.48 % CPUTime :
% 0.33/0.73 %----Proving TF0_ARI
% 16.02/16.38 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AOmwjrpKGq/cvc5---1.0.5_31981.p...
% 16.02/16.38 ------- get file name : TPTP file name is ITP001_1
% 16.02/16.38 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31981.smt2...
% 16.02/16.38 --- Run --finite-model-find --decision=internal at 15...
% 16.02/16.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 16.02/16.38 % SZS status Theorem for ITP001_1
% 16.02/16.38 % SZS output start Proof for ITP001_1
% 16.02/16.38 (
% 16.02/16.38 (let ((_let_1 (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set$'|)) (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'nested_prop_atoms$'| A__questionmark_v0))))) (let ((_let_2 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))))) (let ((_let_3 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))))))) (let ((_let_4 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)))))) (let ((_let_5 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))))) (let ((_let_6 (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v1) |tptp.'true_ltln$'|))) (and (=> _let_2 (= _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0))) (=> (not _let_2) (= _let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2))))))))) (let ((_let_7 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) |tptp.'phi$'|))) (let ((_let_8 (|tptp.'nested_prop_atoms$'| _let_7))) (let ((_let_9 (|tptp.'nested_prop_atoms$'| |tptp.'psi$'|))) (let ((_let_10 (|tptp.'less_eq$'| _let_9 _let_8))) (let ((_let_11 (|tptp.'af_letter_F$'| |tptp.'eq$'|))) (let ((_let_12 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| _let_11 |tptp.'phi$'|) |tptp.'psi$'|) |tptp.'nu$'|))) (let ((_let_13 (|tptp.'nested_prop_atoms$'| _let_12))) (let ((_let_14 (|tptp.'less_eq$'| _let_13 _let_8))) (let ((_let_15 (not _let_14))) (let ((_let_16 (|tptp.'member$'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_587 _let_13))) (let ((_let_17 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| |tptp.'psi$'|) |tptp.'nu$'|))) (let ((_let_18 (|tptp.'nested_prop_atoms$'| _let_17))) (let ((_let_19 (|tptp.'member$'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_587 _let_18))) (let ((_let_20 (= _let_12 _let_17))) (let ((_let_21 (|tptp.'member$'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_587 _let_8))) (let ((_let_22 (not _let_16))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (or (not (|tptp.'member$'| A__questionmark_v2 (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) |tptp.'phi$'|) |tptp.'psi$'|) |tptp.'nu$'|)))) (|tptp.'member$'| A__questionmark_v2 (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) |tptp.'phi$'|))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (not _let_24))) (let ((_let_27 (or _let_26 _let_14))) (let ((_let_28 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (or (not (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (or (not (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1)))) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (ASSUME :args (_let_15)))) (let ((_let_31 (or))) (let ((_let_32 (_let_26))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_24))) (REFL :args (_let_25)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_14 _let_26 (not _let_27)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_13 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) true))))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 true _let_14 false _let_27)) :args (_let_25 true _let_24)))) (let ((_let_34 (|tptp.'member$'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_587 _let_9))) (let ((_let_35 (not _let_19))) (let ((_let_36 (|tptp.'less_eq$'| _let_18 _let_9))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_34))) (let ((_let_39 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (or (not (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1)) (not (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (not _let_34))) (let ((_let_42 (or _let_41 _let_21))) (let ((_let_43 (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (or (not (|tptp.'member$'| A__questionmark_v2 (|tptp.'nested_prop_atoms$'| |tptp.'psi$'|))) (|tptp.'member$'| A__questionmark_v2 (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) |tptp.'phi$'|))))))) (let ((_let_44 (= _let_10 _let_43))) (let ((_let_45 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (or (not (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_43))) (let ((_let_48 (_let_1))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| |tptp.'psi$'|) |tptp.'true_ltln$'|))) (let ((_let_51 (or _let_50 _let_20))) (let ((_let_52 (forall ((BOUND_VARIABLE_10053 |tptp.'A_ltln$'|) (BOUND_VARIABLE_10055 |tptp.'A_ltln$'|) (BOUND_VARIABLE_10057 |tptp.'A_set$'|)) (or (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| BOUND_VARIABLE_10055) |tptp.'true_ltln$'|) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) BOUND_VARIABLE_10053) BOUND_VARIABLE_10055) BOUND_VARIABLE_10057) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| BOUND_VARIABLE_10055) BOUND_VARIABLE_10057)))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 (= _let_12 _let_7))) (let ((_let_56 (not _let_50))) (let ((_let_57 (or _let_56 _let_55))) (let ((_let_58 (forall ((BOUND_VARIABLE_10036 |tptp.'A_ltln$'|) (BOUND_VARIABLE_10038 |tptp.'A_ltln$'|) (BOUND_VARIABLE_10040 |tptp.'A_set$'|)) (or (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| BOUND_VARIABLE_10038) |tptp.'true_ltln$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) BOUND_VARIABLE_10036) BOUND_VARIABLE_10038) BOUND_VARIABLE_10040) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) BOUND_VARIABLE_10036)))))) (let ((_let_59 (_let_58))) (let ((_let_60 (= _let_13 _let_8))) (let ((_let_61 (not _let_55))) (let ((_let_62 (and _let_14 (|tptp.'less_eq$'| _let_8 _let_13)))) (let ((_let_63 (= _let_60 _let_62))) (let ((_let_64 (not _let_60))) (let ((_let_65 (_let_4))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (not _let_62))) (let ((_let_68 (_let_55))) (let ((_let_69 (APPLY_UF |tptp.'nested_prop_atoms$'|))) (let ((_let_70 (ASSUME :args _let_68))) (let ((_let_71 (ASSUME :args (_let_16)))) (let ((_let_72 (ASSUME :args (_let_20)))) (let ((_let_73 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_71 _let_72 _let_73) :args (_let_20 _let_16 _let_35)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_73)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_587)) (CONG (SYMM _let_72) :args _let_69) :args (APPLY_UF |tptp.'member$'|)) (TRUE_INTRO _let_71))) :args (_let_16 _let_20 _let_35)) :args ((not (and _let_20 _let_16 _let_35)) SB_LITERAL))) (CONG (REFL :args ((not _let_20))) (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_19))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_20 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_55 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_70 (SCOPE (CONG (SYMM (SYMM _let_70)) :args _let_69) :args _let_68)) :args _let_68)) :args ((or _let_60 _let_61))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_62 _let_64 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 0)) :args ((or _let_14 _let_67))) _let_30 :args (_let_67 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_13 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1)))) :args _let_65)) _let_66 :args (_let_63 false _let_4)) :args (_let_64 true _let_62 false _let_63)) :args (_let_61 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (|tptp.'phi$'| |tptp.'psi$'| |tptp.'nu$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| _let_11 BOUND_VARIABLE_10036) BOUND_VARIABLE_10038) BOUND_VARIABLE_10040)))) :args _let_59)) (AND_ELIM _let_53 :args (0)) :args (_let_57 false _let_58)) :args (_let_56 true _let_55 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (|tptp.'phi$'| |tptp.'psi$'| |tptp.'nu$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| _let_11 BOUND_VARIABLE_10053) BOUND_VARIABLE_10055) BOUND_VARIABLE_10057)))) :args _let_54)) (AND_ELIM _let_53 :args (1)) :args (_let_51 false _let_52)) :args (_let_20 true _let_50 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_35 _let_34 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (|tptp.'psi$'| |tptp.'nu$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v1)))) :args _let_48)) _let_49 :args (_let_36 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_21 _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 1)) _let_33 :args ((not _let_21) true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_587 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'member$'| A__questionmark_v2 _let_8) true))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_44)) :args ((or (not _let_10) _let_43 (not _let_44)))) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_9 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1)))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_43 false _let_10 false _let_44)) :args (_let_42 false _let_43)) :args (_let_41 true _let_21 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_18 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_587 QUANTIFIERS_INST_E_MATCHING ((not (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) false)) (not (= (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0) false))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_35 false _let_36 true _let_34 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_16))) :args _let_31)) :args ((or _let_16 _let_23))) _let_33 :args (_let_16 true _let_23)) :args (false false _let_20 true _let_19 false _let_16)) :args ((forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0))) _let_15 _let_10 (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (let ((_let_1 (|tptp.'af_letter_F$'| A__questionmark_v0))) (= _let_1 _let_1))) _let_6 (|tptp.'af_congruent$'| |tptp.'eq$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (= (= (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) _let_5 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v0)) (|tptp.'nested_prop_atoms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|)) (|tptp.'less_eq$a'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (<= A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|)) (|tptp.'less_eq$a'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (<= A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v0)) (|tptp.'ltl_equivalence$'| |tptp.'eq$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (not (|tptp.'member$'| |tptp.'true_ltln$'| (|tptp.'nested_prop_atoms$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'true_ltln$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (|tptp.'equivp$'| |tptp.'eq$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (|tptp.'transition_functions_size$'| |tptp.'eq$'| |tptp.'normalise$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| _let_1 A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$'| _let_1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'equivp$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (|tptp.'less_eq$a'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'less_eq$a'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (<= A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (=> (<= A__questionmark_v0 A__questionmark_v1) false) (=> (<= A__questionmark_v1 A__questionmark_v0) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_bool_fun$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$a'| (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$a'| (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'A_ltln_set_int_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set_a_ltln_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_int_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$a'| (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$a'| A__questionmark_v0 (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_bool_fun_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_bool_fun$'|)) (=> (and (|tptp.'less_eq$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$a'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_bool_fun$'|)) (=> (|tptp.'less_eq$a'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$a'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$a'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set_a_ltln_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'A_ltln_set_int_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_int_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v3)))) _let_4 (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (|tptp.'less_eq$a'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (|tptp.'less_eq$a'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (=> (|tptp.'less_eq$a'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$a'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v0)) (<= A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v1 A__questionmark_v0) (<= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Int_int_bool_fun_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (<= A__questionmark_v3 A__questionmark_v4) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)))) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|)) (= (|tptp.'collect$'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (<= A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (<= A__questionmark_v2 A__questionmark_v0))) (let ((_let_3 (<= A__questionmark_v1 A__questionmark_v2))) (let ((_let_4 (<= A__questionmark_v1 A__questionmark_v0))) (let ((_let_5 (<= A__questionmark_v2 A__questionmark_v1))) (let ((_let_6 (<= A__questionmark_v0 A__questionmark_v2))) (=> (and (=> (and _let_1 _let_3) false) (=> (and _let_4 _let_6) false) (=> (and _let_6 _let_5) false) (=> (and _let_5 _let_4) false) (=> (and _let_3 _let_2) false) (=> (and _let_2 _let_1) false)) false)))))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (<= A__questionmark_v0 A__questionmark_v1)) (and (<= A__questionmark_v1 A__questionmark_v0) (not (= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (= (|tptp.'less_eq$'| (|tptp.'collect$'| A__questionmark_v0) (|tptp.'collect$'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'less_eq$'| (|tptp.'collect$'| A__questionmark_v0) (|tptp.'collect$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v0)) _let_3 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0)) false)) false)) _let_2 (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))) (|tptp.'gF_advice_congruent$'| |tptp.'eq$'| |tptp.'normalise$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)) |tptp.'true_ltln$'|))) _let_1 (|tptp.'transition_functions$'| |tptp.'eq$'| |tptp.'normalise$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'ltl_equivalence$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set$'|)) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| |tptp.'true_ltln$'|) A__questionmark_v0) |tptp.'true_ltln$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_fun$'|)) (= (|tptp.'transition_functions_size_axioms$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'A_ltln$'|)) (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'nested_prop_atoms$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'transition_functions_size$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'nested_prop_atoms$'| A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| |tptp.'true_ltln$'|) A__questionmark_v0) |tptp.'true_ltln$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (= (|tptp.'transition_functions_size$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'transition_functions_size_axioms$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'transition_functions_size_axioms$'| A__questionmark_v1)) (|tptp.'transition_functions_size$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (|tptp.'transition_functions_size$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (|tptp.'transition_functions_size$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'transition_functions_size_axioms$'| A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (= (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'af_congruent$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4)) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v4)) |tptp.'true_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'nested_prop_atoms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4))) (let ((_let_2 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3) |tptp.'true_ltln$'|))) (=> (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (and (=> _let_2 (= _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2))) (=> (not _let_2) (= _let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v4)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_ltln$'|)) (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'nested_prop_atoms$'| A__questionmark_v1))) (|tptp.'transition_functions_size_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v0))) (let ((_let_3 (|tptp.'foldl$'| _let_2 A__questionmark_v1))) (=> (= (|tptp.'fun_app$s'| _let_3 A__questionmark_v2) _let_1) (= (|tptp.'fun_app$s'| _let_3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| _let_2 _let_1) A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) |tptp.'true_ltln$'|)))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v1) A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v1)) |tptp.'true_ltln$'|) (exists ((A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v2) A__questionmark_v0) A__questionmark_v3)) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v3)) |tptp.'true_ltln$'|)))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v2) A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v3))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_3 A__questionmark_v1)) (|tptp.'fun_app$s'| _let_2 A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_3 _let_1)) (|tptp.'fun_app$s'| _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ltl_equivalence$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v4)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|)) (= (|tptp.'gF_advice$'| |tptp.'true_ltln$'| A__questionmark_v0) |tptp.'true_ltln$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v4))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1))) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_3 A__questionmark_v2)) (|tptp.'fun_app$s'| _let_2 A__questionmark_v2))) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_3 _let_1)) (|tptp.'fun_app$s'| _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1))) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_1 A__questionmark_v2)) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) A__questionmark_v6)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v3) A__questionmark_v4) A__questionmark_v5)) |tptp.'true_ltln$'|))))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v3) A__questionmark_v4) A__questionmark_v2) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) A__questionmark_v6)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v5)) |tptp.'true_ltln$'|))))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v3) A__questionmark_v2) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v3)) |tptp.'true_ltln$'|)) (exists ((A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (and (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set_list$'|) (A__questionmark_v5 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v2))) (let ((_let_3 (|tptp.'foldl$'| _let_2 A__questionmark_v3))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$s'| _let_3 A__questionmark_v4) _let_1)) (= (|tptp.'fun_app$s'| _let_3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| _let_2 _let_1) A__questionmark_v5))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_set_a_ltln_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_1 A__questionmark_v2)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$a'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'fun_app$u'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$u'| (|tptp.'foldl$a'| A__questionmark_v0 (|tptp.'fun_app$u'| _let_1 A__questionmark_v2)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'false_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v0))) (= (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'fun_app$t'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$t'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v0))) (= (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'fun_app$t'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$t'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v0))) (= (= (|tptp.'fun_app$t'| _let_1 A__questionmark_v1) (|tptp.'fun_app$t'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)))) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$i'| (|tptp.'nested_prop_atoms_nu$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| |tptp.'false_ltln$'|) A__questionmark_v0) |tptp.'false_ltln$'|)) (forall ((A__questionmark_v0 tptp.tlbool) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'gF_advice$'| |tptp.'true_ltln$'| A__questionmark_v1))) (let ((_let_2 (= A__questionmark_v0 tptp.tltrue))) (let ((_let_3 (not _let_2))) (let ((_let_4 (|tptp.'gF_advice$'| |tptp.'false_ltln$'| A__questionmark_v1))) (and (=> _let_2 (and (=> _let_2 (= _let_4 |tptp.'false_ltln$'|)) (=> _let_3 (= _let_4 |tptp.'true_ltln$'|)))) (=> _let_3 (and (=> _let_2 (= _let_1 |tptp.'false_ltln$'|)) (=> _let_3 (= _let_1 |tptp.'true_ltln$'|)))))))))) (forall ((A__questionmark_v0 tptp.tlbool) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'gF_advice$'| |tptp.'false_ltln$'| A__questionmark_v1))) (let ((_let_2 (= A__questionmark_v0 tptp.tltrue))) (let ((_let_3 (not _let_2))) (let ((_let_4 (|tptp.'gF_advice$'| |tptp.'true_ltln$'| A__questionmark_v1))) (and (=> _let_2 (and (=> _let_2 (= _let_4 |tptp.'true_ltln$'|)) (=> _let_3 (= _let_4 |tptp.'false_ltln$'|)))) (=> _let_3 (and (=> _let_2 (= _let_1 |tptp.'true_ltln$'|)) (=> _let_3 (= _let_1 |tptp.'false_ltln$'|)))))))))) (forall ((A__questionmark_v0 tptp.tlbool) (A__questionmark_v1 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| |tptp.'false_ltln$'|) A__questionmark_v1))) (let ((_let_2 (= A__questionmark_v0 tptp.tltrue))) (let ((_let_3 (not _let_2))) (let ((_let_4 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| |tptp.'true_ltln$'|) A__questionmark_v1))) (and (=> _let_2 (and (=> _let_2 (= _let_4 |tptp.'true_ltln$'|)) (=> _let_3 (= _let_4 |tptp.'false_ltln$'|)))) (=> _let_3 (and (=> _let_2 (= _let_1 |tptp.'true_ltln$'|)) (=> _let_3 (= _let_1 |tptp.'false_ltln$'|)))))))))) (forall ((A__questionmark_v0 tptp.tlbool) (A__questionmark_v1 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| |tptp.'true_ltln$'|) A__questionmark_v1))) (let ((_let_2 (= A__questionmark_v0 tptp.tltrue))) (let ((_let_3 (not _let_2))) (let ((_let_4 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| |tptp.'false_ltln$'|) A__questionmark_v1))) (and (=> _let_2 (and (=> _let_2 (= _let_4 |tptp.'false_ltln$'|)) (=> _let_3 (= _let_4 |tptp.'true_ltln$'|)))) (=> _let_3 (and (=> _let_2 (= _let_1 |tptp.'false_ltln$'|)) (=> _let_3 (= _let_1 |tptp.'true_ltln$'|)))))))))) (not (= |tptp.'true_ltln$'| |tptp.'false_ltln$'|)) (forall ((A__questionmark_v0 |tptp.'A_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| |tptp.'false_ltln$'|) A__questionmark_v0) |tptp.'false_ltln$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'false_ltln$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|)) (= (|tptp.'gF_advice$'| |tptp.'false_ltln$'| A__questionmark_v0) |tptp.'false_ltln$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (not (|tptp.'member$'| |tptp.'false_ltln$'| (|tptp.'nested_prop_atoms$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (exists ((A__questionmark_v4 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v4))) (or (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v4)) (= (|tptp.'fun_app$t'| _let_1 A__questionmark_v1) A__questionmark_v3)) (and (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v1 (|tptp.'fun_app$t'| _let_1 A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$t'| _let_1 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'fun_app$t'| _let_1 A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1))) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_1 A__questionmark_v2)) |tptp.'false_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| (|tptp.'nested_prop_atoms$'| A__questionmark_v0) (|tptp.'nested_prop_atoms$'| A__questionmark_v1)) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'nested_prop_atoms_nu$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'nested_prop_atoms_nu$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v3)) |tptp.'false_ltln$'|)))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v2) A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v1)) |tptp.'false_ltln$'|) (exists ((A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v2) A__questionmark_v0) A__questionmark_v3)) |tptp.'false_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) |tptp.'false_ltln$'|)))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v1) A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) |tptp.'false_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)) |tptp.'false_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v3)) |tptp.'false_ltln$'|)) (exists ((A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (and (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)) |tptp.'false_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) A__questionmark_v6)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v5)) |tptp.'false_ltln$'|))))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v3) A__questionmark_v2) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) A__questionmark_v6)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v3) A__questionmark_v4) A__questionmark_v5)) |tptp.'false_ltln$'|))))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v3) A__questionmark_v4) A__questionmark_v2) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (let ((_let_1 (|tptp.'af_letter_G$'| A__questionmark_v0))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4)) |tptp.'false_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v4)) |tptp.'false_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v0))) (let ((_let_3 (|tptp.'foldl$'| _let_2 A__questionmark_v1))) (=> (= (|tptp.'fun_app$s'| _let_3 A__questionmark_v2) _let_1) (= (|tptp.'fun_app$s'| _let_3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| _let_2 _let_1) A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v1) |tptp.'false_ltln$'|))) (and (=> _let_2 (= _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0))) (=> (not _let_2) (= _let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v3))) (let ((_let_2 (|tptp.'pair$'| _let_1 (|tptp.'gF_advice$'| _let_1 A__questionmark_v0)))) (let ((_let_3 (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0))) (let ((_let_4 (|tptp.'foldl$a'| _let_3 (|tptp.'pair$'| A__questionmark_v1 A__questionmark_v2)))) (=> (= (|tptp.'fun_app$u'| _let_4 A__questionmark_v3) _let_2) (= (|tptp.'fun_app$u'| _let_4 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$u'| (|tptp.'foldl$a'| _let_3 _let_2) A__questionmark_v4)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'gF_advice_congruent_axioms$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (= (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'gF_advice_congruent_axioms$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'af_congruent_axioms$'| A__questionmark_v0)) (|tptp.'af_congruent$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| _let_1 A__questionmark_v0) (|tptp.'fun_app$'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (= (= (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 tptp.tlbool)) (let ((_let_1 (= A__questionmark_v1 tptp.tltrue))) (let ((_let_2 (not _let_1))) (let ((_let_3 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (and (=> _let_1 (|tptp.'fun_app$'| _let_3 |tptp.'false_ltln$'|)) (=> _let_2 (|tptp.'fun_app$'| _let_3 |tptp.'true_ltln$'|))) _let_2))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 tptp.tlbool)) (let ((_let_1 (= A__questionmark_v1 tptp.tltrue))) (let ((_let_2 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (and (=> _let_1 (|tptp.'fun_app$'| _let_2 |tptp.'true_ltln$'|)) (=> (not _let_1) (|tptp.'fun_app$'| _let_2 |tptp.'false_ltln$'|))) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'release_ltln$'| |tptp.'false_ltln$'|))) (let ((_let_2 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$d'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$d'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) |tptp.'true_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) |tptp.'true_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'until_ltln$'| |tptp.'true_ltln$'|))) (let ((_let_2 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$d'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$d'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (let ((_let_1 (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) |tptp.'false_ltln$'|) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) |tptp.'true_ltln$'|) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'false_ltln$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'true_ltln$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (not (= (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (= (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v3))) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$'| _let_1 A__questionmark_v1) (|tptp.'fun_app$'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$'| _let_1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v1))) (=> (and (forall ((A__questionmark_v3 |tptp.'A_ltln$'|)) (=> (|tptp.'member$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v3))))) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| A__questionmark_v2 A__questionmark_v0))) (|tptp.'fun_app$'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1)))) (let ((_let_2 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$s'| _let_1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| A__questionmark_v3 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (and (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'af_congruent_axioms$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v2) A__questionmark_v3)))) (|tptp.'af_congruent_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v5))) (let ((_let_2 (|tptp.'pair$'| _let_1 (|tptp.'gF_advice$'| _let_1 A__questionmark_v2)))) (let ((_let_3 (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (let ((_let_4 (|tptp.'foldl$a'| _let_3 (|tptp.'pair$'| A__questionmark_v3 A__questionmark_v4)))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$u'| _let_4 A__questionmark_v5) _let_2)) (= (|tptp.'fun_app$u'| _let_4 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) A__questionmark_v6)) (|tptp.'fun_app$u'| (|tptp.'foldl$a'| _let_3 _let_2) A__questionmark_v6)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'af_congruent$'| A__questionmark_v0) (|tptp.'af_congruent_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'gF_advice_congruent_axioms$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4))) (let ((_let_2 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3) |tptp.'false_ltln$'|))) (=> (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (and (=> _let_2 (= _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2))) (=> (not _let_2) (= _let_1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v3) A__questionmark_v4)))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1)))) (let ((_let_2 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$s'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)))) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$s'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set_list$'|) (A__questionmark_v5 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v2))) (let ((_let_3 (|tptp.'foldl$'| _let_2 A__questionmark_v3))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$s'| _let_3 A__questionmark_v4) _let_1)) (= (|tptp.'fun_app$s'| _let_3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| _let_2 _let_1) A__questionmark_v5))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'af_congruent$'| A__questionmark_v0) (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'af_congruent_axioms$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'snd$'| A__questionmark_v0)) A__questionmark_v1))) (=> (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| _let_1) |tptp.'false_ltln$'|)) (= (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v2) A__questionmark_v0) A__questionmark_v1)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (= (|tptp.'fst$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0))) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'true_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'snd$'| A__questionmark_v0))) (=> (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| _let_1) |tptp.'false_ltln$'|)) (= (|tptp.'snd$'| (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v1) A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| _let_1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (= (|tptp.'fst$'| (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (<= _let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (= (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v0 A__questionmark_v1)) (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'snd$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v1)) A__questionmark_v2))) (let ((_let_3 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (let ((_let_4 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| _let_1) |tptp.'false_ltln$'|))) (and (=> _let_4 (= _let_3 (|tptp.'pair$'| _let_2 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| _let_2) A__questionmark_v0)))) (=> (not _let_4) (= _let_3 (|tptp.'pair$'| _let_2 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| _let_1) A__questionmark_v2)))))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'snd$'| A__questionmark_v0)) |tptp.'false_ltln$'|) (= (|tptp.'snd$'| (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v1) A__questionmark_v0) A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v0)) A__questionmark_v2)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (|tptp.'member$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v1) |tptp.'nu_LTL$'|)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_2) (<= _let_2 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'subsequence$'| A__questionmark_v4 A__questionmark_v0 A__questionmark_v1))) (|tptp.'subsequence$'| A__questionmark_v4 A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$s'| _let_1 (|tptp.'subsequence$'| A__questionmark_v4 A__questionmark_v0 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2) _let_1) (<= _let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4))) (= (|tptp.'subsequence$'| A__questionmark_v5 A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'subsequence$'| A__questionmark_v5 A__questionmark_v2 A__questionmark_v3)) (|tptp.'subsequence$'| A__questionmark_v5 A__questionmark_v3 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|) (A__questionmark_v4 |tptp.'A_set$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'snd$'| A__questionmark_v2)) |tptp.'false_ltln$'|)) (= (|tptp.'snd$'| (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3) A__questionmark_v2) A__questionmark_v4)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v2)) A__questionmark_v4)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v4 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'snd$'| A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v3)) A__questionmark_v4))) (let ((_let_3 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4))) (let ((_let_4 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 _let_1) |tptp.'false_ltln$'|))) (=> (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (and (=> _let_4 (= _let_3 (|tptp.'pair$'| _let_2 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 _let_2) A__questionmark_v2)))) (=> (not _let_4) (= _let_3 (|tptp.'pair$'| _let_2 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| _let_1) A__questionmark_v4))))))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v4 |tptp.'A_set$'|)) (=> (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fst$'| (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v3)) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|) (A__questionmark_v4 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'snd$'| A__questionmark_v2))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 _let_1) |tptp.'false_ltln$'|))) (= (|tptp.'snd$'| (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3) A__questionmark_v2) A__questionmark_v4)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| _let_1) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v1 |tptp.'mu_LTL$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1)) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v3 A__questionmark_v4))) |tptp.'true_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v1 |tptp.'nu_LTL$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1)) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v3 A__questionmark_v4))) |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fst$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fst$'| A__questionmark_v3)) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'snd$'| A__questionmark_v2)) A__questionmark_v3))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 _let_1) |tptp.'false_ltln$'|))) (= (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v4) A__questionmark_v2) A__questionmark_v3)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (not (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (= (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'subsequence$'| A__questionmark_v2 _let_1 A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) (|tptp.'subsequence$'| A__questionmark_v2 _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v4))) (let ((_let_4 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (let ((_let_5 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_4 _let_5)) (|tptp.'fun_app$s'| _let_3 _let_5))) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_4 _let_2)) (|tptp.'fun_app$s'| _let_3 _let_2))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) |tptp.'false_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) |tptp.'false_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) A__questionmark_v1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (= (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1)) (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v1 A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v5 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'subsequence$'| A__questionmark_v4 _let_1 A__questionmark_v2))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v5))) (let ((_let_4 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3))) (let ((_let_5 (|tptp.'subsequence$'| A__questionmark_v4 _let_1 A__questionmark_v1))) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_4 _let_5)) (|tptp.'fun_app$s'| _let_3 _let_5))) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_4 _let_2)) (|tptp.'fun_app$s'| _let_3 _let_2))))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3))) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v4 _let_1 A__questionmark_v1))) |tptp.'false_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v4 _let_1 A__questionmark_v2))) |tptp.'false_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3))) (=> (and (|tptp.'af_congruent$'| A__questionmark_v0) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v4 _let_1 A__questionmark_v1))) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v4 _let_1 A__questionmark_v2))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v2)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v1 |tptp.'nu_LTL$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'false_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v1 |tptp.'nu_LTL$'|) (not (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'false_ltln$'|)))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v1 |tptp.'mu_LTL$'|) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) A__questionmark_v1)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v1 |tptp.'mu_LTL$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) A__questionmark_v1) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'true_ltln$'|))) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'true_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'false_ltln$'|))))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'false_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'take$'| A__questionmark_v3) A__questionmark_v2)))) |tptp.'false_ltln$'|))) (= (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'snd$'| A__questionmark_v1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v0)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less$'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (not (< A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (< A__questionmark_v0 A__questionmark_v1)) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (not (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1)) (or (not (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (< A__questionmark_v0 A__questionmark_v1)) (or (not (<= A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (not (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1)) (or (not (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (not (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (< A__questionmark_v0 A__questionmark_v1)) (= (<= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (not (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1)) (= (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (not (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (not (< A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (= (not (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (<= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (<= A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (<= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v2 A__questionmark_v0)) (< A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$a'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v0)) (< A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'less$a'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (<= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (<= A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (< A__questionmark_v0 A__questionmark_v1)) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (<= A__questionmark_v0 A__questionmark_v1)) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$'| (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$a'| (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$a'| (|tptp.'fun_app$l'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$a'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$a'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$a'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set_a_ltln_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'A_ltln_set_int_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$'| (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_int_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v4 A__questionmark_v5) (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'less$a'| A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_set$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$'| (|tptp.'fun_app$h'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$b'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (|tptp.'less$a'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'less$a'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (<= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'take$'| A__questionmark_v2))) (= (|tptp.'fun_app$t'| _let_1 A__questionmark_v0) (|tptp.'fun_app$t'| _let_1 A__questionmark_v1)))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (not (< A__questionmark_v1 A__questionmark_v0)) true))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v1 A__questionmark_v0) false))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (= A__questionmark_v0 A__questionmark_v1) false))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 tptp.tlbool)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (=> (< A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v2 tptp.tltrue)) true))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (< A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int)) (not (< A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5))))) (< (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (< A__questionmark_v4 A__questionmark_v5) (< (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v5))))) (< A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (= A__questionmark_v0 A__questionmark_v1)) (or (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (=> (< A__questionmark_v0 A__questionmark_v1) false) (=> (< A__questionmark_v1 A__questionmark_v0) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v2 A__questionmark_v0)) (< A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (< A__questionmark_v0 A__questionmark_v1)) (or (< A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Int_int_bool_fun_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (< A__questionmark_v3 A__questionmark_v4) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 Int)) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v3)) (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)))) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 Int)) (not (< A__questionmark_v0 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (=> (< A__questionmark_v0 A__questionmark_v1) false) (=> (= A__questionmark_v0 A__questionmark_v1) false) (=> (< A__questionmark_v1 A__questionmark_v0) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (not (< A__questionmark_v0 A__questionmark_v1)) (= (not (< A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v2)) (< A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v1 A__questionmark_v0)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int)) (exists ((A__questionmark_v1 Int)) (< A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int)) (exists ((A__questionmark_v1 Int)) (< A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v2) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (or (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v2) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2)))) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v0 A__questionmark_v1)) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2)))) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v0 A__questionmark_v1)) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v0)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v3)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (=> (and (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v4 A__questionmark_v0)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v4)) A__questionmark_v2))) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v4 A__questionmark_v0)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v4)) A__questionmark_v2)))) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v4))) (let ((_let_2 (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v4 A__questionmark_v0)))) (and (|tptp.'fun_app$'| _let_2 (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) _let_1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_2 (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) _let_1) A__questionmark_v2)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'gF_advice_congruent$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4))) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v5 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v5)) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4))))) (forall ((A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v5 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v5)) A__questionmark_v4))))) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v4)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4))))) (|tptp.'gF_advice_congruent_axioms$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|)) (= (|tptp.'gF_advice_congruent_axioms$'| A__questionmark_v0 A__questionmark_v1) (and (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'fun_app$'| _let_1 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4))))) (forall ((A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v2) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v5 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v5)) A__questionmark_v4))))) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v4)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'take$'| A__questionmark_v5) A__questionmark_v4)))) |tptp.'false_ltln$'|)))) (= (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'snd$'| A__questionmark_v3)) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v5)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 (|tptp.'nat$'| 0) A__questionmark_v5))) |tptp.'false_ltln$'|)))))) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v4 A__questionmark_v5))) |tptp.'false_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v4 A__questionmark_v5))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v5)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 (|tptp.'nat$'| 0) A__questionmark_v5))) |tptp.'true_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4))) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) _let_1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0) (|tptp.'pair$'| A__questionmark_v1 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v1) A__questionmark_v0))) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) (|tptp.'nat$'| (+ _let_1 1)))))) |tptp.'false_ltln$'|)))))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v3)) A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v0)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v3)) A__questionmark_v2))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4))) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) _let_1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v2) (|tptp.'pair$'| A__questionmark_v1 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) (|tptp.'nat$'| (+ _let_1 1)))))) |tptp.'false_ltln$'|)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'false_ltln$'|)))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v3))) |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1))) (|tptp.'less_eq$b'| |tptp.'eq$'| |tptp.'ltl_lang_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0))) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (or (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (= (|tptp.'less$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'less_eq$b'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'less_eq$b'| A__questionmark_v0 |tptp.'ltl_lang_equiv$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'ltl_equivalence$'| |tptp.'ltl_lang_equiv$'|) (|tptp.'af_congruent$'| |tptp.'ltl_lang_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (= (|tptp.'fun_app$'| _let_1 A__questionmark_v0) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| _let_1 A__questionmark_v0) (|tptp.'fun_app$'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1))) (=> _let_1 _let_1))) (|tptp.'less_eq$b'| |tptp.'ltl_lang_equiv$'| |tptp.'ltl_lang_equiv$'|) (|tptp.'equivp$'| |tptp.'ltl_lang_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v3))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_3 A__questionmark_v1)) (|tptp.'fun_app$s'| _let_2 A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_3 _let_1)) (|tptp.'fun_app$s'| _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'false_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v4))) (let ((_let_4 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (let ((_let_5 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_4 _let_5)) (|tptp.'fun_app$s'| _let_3 _let_5))) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_4 _let_2)) (|tptp.'fun_app$s'| _let_3 _let_2))))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'false_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v1))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v1))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) |tptp.'false_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) |tptp.'false_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) A__questionmark_v1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (not (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0))) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'true_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v4 A__questionmark_v5))) |tptp.'false_ltln$'|))))) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v5)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 (|tptp.'nat$'| 0) A__questionmark_v5))) |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v5)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 (|tptp.'nat$'| 0) A__questionmark_v5))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2)) (|tptp.'subsequence$'| A__questionmark_v3 A__questionmark_v4 A__questionmark_v5))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'nat$'| (+ _let_1 1)))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v3) A__questionmark_v4)))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| _let_3 (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) A__questionmark_v5)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v4) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v6 A__questionmark_v1)) A__questionmark_v5))))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| _let_2 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| _let_3 (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) _let_2)) A__questionmark_v5))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'nat$'| (+ _let_1 1)))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) A__questionmark_v4)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v5) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v6 A__questionmark_v1)) A__questionmark_v4))))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| _let_2 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v3) A__questionmark_v5)) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) _let_2)) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'nat$'| (+ _let_1 1)))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) A__questionmark_v4)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v5) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v6 A__questionmark_v1)) A__questionmark_v4))))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| _let_2 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v5) A__questionmark_v3)) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) _let_2)) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v5 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) A__questionmark_v5)) A__questionmark_v4)))) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6))) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v5) _let_1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v4) (|tptp.'pair$'| A__questionmark_v3 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4))) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) (|tptp.'nat$'| (+ _let_1 1)))))) |tptp.'false_ltln$'|)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6))) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v5) _let_1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'snd$'| (|tptp.'fun_app$u'| (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'pair$'| A__questionmark_v3 (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v2))) (|tptp.'subsequence$'| A__questionmark_v4 (|tptp.'nat$'| 0) (|tptp.'nat$'| (+ _let_1 1)))))) |tptp.'false_ltln$'|))))))) (exists ((A__questionmark_v5 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v5 A__questionmark_v4)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v4 (|tptp.'nat$'| 0) A__questionmark_v5)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) (|tptp.'cons$'| A__questionmark_v4 |tptp.'nil$'|)))) (let ((_let_2 (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| |tptp.'eq$'| |tptp.'normalise$'|) A__questionmark_v0) (|tptp.'pair$'| A__questionmark_v1 A__questionmark_v2)))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'snd$'| (|tptp.'fun_app$u'| _let_2 A__questionmark_v3))) |tptp.'false_ltln$'|) (= (|tptp.'snd$'| (|tptp.'fun_app$u'| _let_2 _let_1)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| |tptp.'normalise$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) _let_1)) A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_ltln_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v3))) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less_eq$'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (<= (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v3))) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less_eq$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v3))) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less_eq$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_ltln_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less_eq$'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (<= (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_ltln_a_ltln_bool_fun_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'less_eq$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v2))) (|tptp.'less_eq$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (= (= (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= |tptp.'nil$'| (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1)) (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| |tptp.'eq$'|) A__questionmark_v0) A__questionmark_v1))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v2)) |tptp.'false_ltln$'|) (= (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'cons$'| A__questionmark_v3 |tptp.'nil$'|))) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| |tptp.'eq$'|) A__questionmark_v0) A__questionmark_v1))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v2)) |tptp.'true_ltln$'|) (= (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'cons$'| A__questionmark_v3 |tptp.'nil$'|))) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'cons$'| A__questionmark_v1 |tptp.'nil$'|)) (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'cons$'| A__questionmark_v3 |tptp.'nil$'|))) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'take$'| (|tptp.'nat$'| (+ (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) 1))) (|tptp.'cons$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$'| A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'take$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'take$'| (|tptp.'nat$'| 0)) A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'take$'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (or (= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) 0) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (= (= |tptp.'nil$'| (|tptp.'fun_app$t'| (|tptp.'take$'| A__questionmark_v0) A__questionmark_v1)) (or (= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) 0) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_set$'|) (A__questionmark_v1 |tptp.'A_ltln_set$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'member$'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'fun_app$t'| (|tptp.'take$'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'cons$'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (=> (and (= (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_set_a_ltln_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_prod$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$u'| (|tptp.'foldl$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$u'| (|tptp.'foldl$a'| A__questionmark_v0 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_set_list_bool_fun$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (=> (and (|tptp.'fun_app$ab'| A__questionmark_v0 |tptp.'nil$'|) (forall ((A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$ab'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) (|tptp.'cons$'| A__questionmark_v2 |tptp.'nil$'|)))))) (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) (|tptp.'cons$'| A__questionmark_v2 |tptp.'nil$'|))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v1))) (= (= _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (or (and (= A__questionmark_v2 |tptp.'nil$'|) (= _let_1 A__questionmark_v3)) (exists ((A__questionmark_v4 |tptp.'A_set_list$'|)) (and (= (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v4) A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v2 A__questionmark_v3))) (= (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) _let_1) (or (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 _let_1)) (exists ((A__questionmark_v4 |tptp.'A_set_list$'|)) (and (= A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v2 A__questionmark_v4)) (= (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v4) A__questionmark_v1) A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (forall ((A__questionmark_v2 |tptp.'A_set$'|)) (|tptp.'fun_app$ab'| A__questionmark_v1 (|tptp.'cons$'| A__questionmark_v2 |tptp.'nil$'|))) (forall ((A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$'|)) (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$ab'| A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v3) (|tptp.'cons$'| A__questionmark_v2 |tptp.'nil$'|)))))) (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (forall ((A__questionmark_v2 |tptp.'A_set$'|)) (|tptp.'fun_app$ab'| A__questionmark_v1 (|tptp.'cons$'| A__questionmark_v2 |tptp.'nil$'|))) (forall ((A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$'|)) (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$ab'| A__questionmark_v1 (|tptp.'cons$'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (not (= (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_set_list_a_set_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (and (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'A_set$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_set$'|) (A__questionmark_v4 |tptp.'A_set_list$'|)) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'cons$'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_set$'|) (A__questionmark_v4 |tptp.'A_set_list$'|) (A__questionmark_v5 |tptp.'A_set$'|) (A__questionmark_v6 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'cons$'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$'|)) (exists ((A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (= A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_set$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v1 |tptp.'nil$'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v1 (|tptp.'cons$'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_set_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$a'|) false) (forall ((A__questionmark_v1 |tptp.'A_set_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set_list$'|) (A__questionmark_v3 |tptp.'A_set_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| (|tptp.'cons$'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v1 A__questionmark_v2)) false)) (=> (= A__questionmark_v0 |tptp.'nil$'|) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (not (= |tptp.'nil$'| (|tptp.'cons$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_set_a_ltln_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$s'| (|tptp.'foldl$'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$'|) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_prod$'|)) (= (|tptp.'fun_app$u'| (|tptp.'foldl$a'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$'|) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$'| |tptp.'nil$'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$'| |tptp.'nil$'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|) (A__questionmark_v1 |tptp.'A_set_list$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$'| |tptp.'nil$'|) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'take$'| (|tptp.'nat$'| 0)) A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set_list$'|) (A__questionmark_v5 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_G$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_1 A__questionmark_v4)) |tptp.'false_ltln$'|)) (= (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v4) (|tptp.'cons$'| A__questionmark_v5 |tptp.'nil$'|))) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_set_list$'|) (A__questionmark_v5 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'foldl$'| (|tptp.'fun_app$c'| (|tptp.'af_letter_F$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$s'| _let_1 A__questionmark_v4)) |tptp.'true_ltln$'|)) (= (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v4) (|tptp.'cons$'| A__questionmark_v5 |tptp.'nil$'|))) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_set_list$'|) (A__questionmark_v6 |tptp.'A_set$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v5) (|tptp.'cons$'| A__questionmark_v6 |tptp.'nil$'|)))) (let ((_let_2 (|tptp.'foldl$a'| (|tptp.'fun_app$v'| (|tptp.'af_letter_nu$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'pair$'| A__questionmark_v3 A__questionmark_v4)))) (=> (and (|tptp.'transition_functions$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'snd$'| (|tptp.'fun_app$u'| _let_2 A__questionmark_v5))) |tptp.'false_ltln$'|)) (= (|tptp.'snd$'| (|tptp.'fun_app$u'| _let_2 _let_1)) (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| A__questionmark_v1 (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) _let_1)) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (= (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 (|tptp.'nat$'| (+ _let_1 1))) (|tptp.'fun_app$t'| (|tptp.'append$'| (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) (|tptp.'cons$'| (|tptp.'fun_app$ad'| A__questionmark_v2 A__questionmark_v1) |tptp.'nil$'|)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'nat$'| (+ _let_1 1)))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) A__questionmark_v4)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v5) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v6 A__questionmark_v1)) A__questionmark_v4))))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| _let_2 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v5) A__questionmark_v3)) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) _let_2)) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'nat$'| (+ _let_1 1)))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v3) A__questionmark_v4)))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| _let_3 (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) A__questionmark_v5)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v6 A__questionmark_v1)) A__questionmark_v5))))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| _let_2 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| _let_3 (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) _let_2)) A__questionmark_v5))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v1) |tptp.'true_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v1) |tptp.'false_ltln$'|)) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (= (|tptp.'gF_advice$'| (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (not (= (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (not (= (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'true_ltln$'| (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'false_ltln$'| (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v2))) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v0) A__questionmark_v1))) (let ((_let_2 (|tptp.'gF_advice$'| _let_1 A__questionmark_v2))) (let ((_let_3 (|tptp.'member$'| _let_1 A__questionmark_v2))) (and (=> _let_3 (= _let_2 (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)))) (=> (not _let_3) (= _let_2 |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (or (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1) (exists ((A__questionmark_v4 |tptp.'Nat$'|)) (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v1) A__questionmark_v2)) (not (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1)))) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$ae'| (|tptp.'n_lists$'| A__questionmark_v0) |tptp.'nil$'|))) (let ((_let_2 (= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (and (=> _let_2 (= _let_1 (|tptp.'cons$a'| |tptp.'nil$'| |tptp.'nil$a'|))) (=> (not _let_2) (= _let_1 |tptp.'nil$a'|)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_set$'|) (A__questionmark_v5 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'nat$'| (+ _let_1 1)))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v3) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v1)) A__questionmark_v4)) (forall ((A__questionmark_v6 |tptp.'Nat$'|)) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v6) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v5) (|tptp.'subsequence$'| A__questionmark_v2 A__questionmark_v6 A__questionmark_v1)) A__questionmark_v4))))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| _let_2 A__questionmark_v2)) (|tptp.'gF_advice$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v3) A__questionmark_v5)) (|tptp.'subsequence$'| A__questionmark_v2 (|tptp.'nat$'| 0) _let_2)) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v1) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v1) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'false_ltln$'| (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (not (= |tptp.'true_ltln$'| (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (not (= (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (not (= (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) A__questionmark_v2)) (not (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v2)))) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v0) A__questionmark_v1))) (let ((_let_2 (|tptp.'gF_advice$'| _let_1 A__questionmark_v2))) (let ((_let_3 (|tptp.'member$'| _let_1 A__questionmark_v2))) (and (=> _let_3 (= _let_2 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)))) (=> (not _let_3) (= _let_2 |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (=> (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| (|tptp.'suffix$'| A__questionmark_v4 A__questionmark_v0)) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v1))) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_set_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'n_lists$'| (|tptp.'nat$'| 0)) A__questionmark_v0) (|tptp.'cons$a'| |tptp.'nil$'| |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0))) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'true_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_lang_equiv$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (|tptp.'ltl_equivalence$'| |tptp.'ltl_prop_equiv$'|) (|tptp.'af_congruent$'| |tptp.'ltl_prop_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| _let_1 A__questionmark_v0) (|tptp.'fun_app$'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'gF_advice$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'gF_advice$'| A__questionmark_v1 A__questionmark_v2)))) (|tptp.'equivp$'| |tptp.'ltl_prop_equiv$'|) (|tptp.'less_eq$b'| |tptp.'ltl_prop_equiv$'| |tptp.'ltl_lang_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (and (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v1) |tptp.'true_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (and (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) |tptp.'false_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_implies$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v1) |tptp.'false_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v3))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_3 A__questionmark_v1)) (|tptp.'fun_app$s'| _let_2 A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_3 _let_1)) (|tptp.'fun_app$s'| _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'false_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_1 A__questionmark_v1)) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v4 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v4))) (let ((_let_4 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (let ((_let_5 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_4 _let_5)) (|tptp.'fun_app$s'| _let_3 _let_5))) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_4 _let_2)) (|tptp.'fun_app$s'| _let_3 _let_2))))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) |tptp.'false_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) |tptp.'false_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'nat$'| 0))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (=> (and (<= (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v0))) |tptp.'true_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| _let_2 (|tptp.'subsequence$'| A__questionmark_v3 _let_1 A__questionmark_v1))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v0) A__questionmark_v1) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) (|tptp.'subsequence$'| A__questionmark_v0 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (not (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'false_ltln$'|)))) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) (|tptp.'subsequence$'| A__questionmark_v1 (|tptp.'nat$'| 0) A__questionmark_v2))) |tptp.'true_ltln$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'mu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0))) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'true_ltln$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'Nat_a_set_fun$'|)) (=> (|tptp.'member$'| A__questionmark_v0 |tptp.'nu_LTL$'|) (= (|tptp.'fun_app$'| (|tptp.'semantics_ltln$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| |tptp.'true_ltln$'|) (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| |tptp.'false_ltln$'|) A__questionmark_v0)) (|tptp.'subsequence$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3))) |tptp.'false_ltln$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'eq$'| A__questionmark_v0) A__questionmark_v1))) (|tptp.'less_eq$b'| |tptp.'ltl_const_equiv$'| |tptp.'eq$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'release_ltln$'| A__questionmark_v1) A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) _let_1) (= A__questionmark_v0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'until_ltln$'| A__questionmark_v1) A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) _let_1) (= A__questionmark_v0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'weakUntil_ltln$'| A__questionmark_v1) A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) _let_1) (= A__questionmark_v0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$d'| (|tptp.'strongRelease_ltln$'| A__questionmark_v1) A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) _let_1) (= A__questionmark_v0 _let_1)))) (|tptp.'less_eq$b'| |tptp.'ltl_const_equiv$'| |tptp.'ltl_prop_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) |tptp.'false_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) |tptp.'false_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) |tptp.'true_ltln$'|) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_prop_equiv$'| A__questionmark_v0) |tptp.'true_ltln$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_set_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_set_list$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v3))) (let ((_let_2 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| (|tptp.'fun_app$s'| _let_3 A__questionmark_v1)) (|tptp.'fun_app$s'| _let_2 A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| (|tptp.'fun_app$s'| _let_3 _let_1)) (|tptp.'fun_app$s'| _let_2 _let_1))))))) (|tptp.'less_eq$b'| |tptp.'ltl_const_equiv$'| |tptp.'ltl_lang_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (=> (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'less_eq$b'| |tptp.'ltl_const_equiv$'| A__questionmark_v0))) (|tptp.'equivp$'| |tptp.'ltl_const_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1))) (=> _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| _let_1 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'Nat_a_set_fun$'|)) (let ((_let_1 (|tptp.'semantics_ltln$'| A__questionmark_v2))) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| _let_1 A__questionmark_v0) (|tptp.'fun_app$'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$b'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (|tptp.'af_congruent$'| |tptp.'ltl_const_equiv$'|) (|tptp.'ltl_equivalence$'| |tptp.'ltl_const_equiv$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (and (|tptp.'ltl_equivalence$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_set_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$e'| |tptp.'ltl_const_equiv$'| (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$s'| (|tptp.'foldl$'| |tptp.'af_letter$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'nat$'| (|tptp.'fun_app$y'| |tptp.'of_nat$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (let ((_let_1 (|tptp.'fun_app$y'| |tptp.'of_nat$'| (|tptp.'nat$'| A__questionmark_v0)))) (let ((_let_2 (<= 0 A__questionmark_v0))) (and (=> _let_2 (= _let_1 A__questionmark_v0)) (=> (not _let_2) (= _let_1 0)))))) (forall ((B tptp.tlbool)) (or (= B tptp.tltrue) (= B tptp.tlfalse))) (not (= tptp.tltrue tptp.tlfalse)) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 16.02/16.38 )
% 16.02/16.38 % SZS output end Proof for ITP001_1
% 16.02/16.39 % cvc5---1.0.5 exiting
% 16.02/16.39 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------