TSTP Solution File: SWV111+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV111+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:49:21 EDT 2023
% Result : Theorem 0.20s 0.68s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV111+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 09:31:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.68 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sJtwctUelJ/cvc5---1.0.5_31478.p...
% 0.20/0.68 ------- get file name : TPTP file name is SWV111+1
% 0.20/0.68 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31478.smt2...
% 0.20/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.68 % SZS status Theorem for SWV111+1
% 0.20/0.68 % SZS output start Proof for SWV111+1
% 0.20/0.68 (
% 0.20/0.68 (let ((_let_1 (tptp.succ tptp.n0))) (let ((_let_2 (tptp.succ _let_1))) (let ((_let_3 (tptp.succ _let_2))) (let ((_let_4 (= _let_3 tptp.n3))) (let ((_let_5 (= _let_1 tptp.n1))) (let ((_let_6 (tptp.succ _let_3))) (let ((_let_7 (tptp.succ _let_6))) (let ((_let_8 (tptp.succ _let_7))) (let ((_let_9 (= _let_8 tptp.n6))) (let ((_let_10 (= _let_7 tptp.n5))) (let ((_let_11 (= _let_6 tptp.n4))) (let ((_let_12 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n3)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3)))))) (let ((_let_13 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n2)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2)))))) (let ((_let_14 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n1)) (or (= X tptp.n0) (= X tptp.n1)))))) (let ((_let_15 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n0)) (= X tptp.n0))))) (let ((_let_16 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n5)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4) (= X tptp.n5)))))) (let ((_let_17 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n4)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4)))))) (let ((_let_18 (tptp.gt tptp.n6 tptp.n3))) (let ((_let_19 (tptp.gt tptp.n5 tptp.n3))) (let ((_let_20 (tptp.gt tptp.n4 tptp.n3))) (let ((_let_21 (tptp.gt tptp.n3 tptp.n2))) (let ((_let_22 (tptp.gt tptp.n6 tptp.n2))) (let ((_let_23 (tptp.gt tptp.n5 tptp.n2))) (let ((_let_24 (tptp.gt tptp.n4 tptp.n2))) (let ((_let_25 (tptp.gt tptp.n3 tptp.n1))) (let ((_let_26 (tptp.gt tptp.n2 tptp.n1))) (let ((_let_27 (tptp.gt tptp.n6 tptp.n1))) (let ((_let_28 (tptp.gt tptp.n5 tptp.n1))) (let ((_let_29 (tptp.gt tptp.n4 tptp.n1))) (let ((_let_30 (tptp.gt tptp.n3 tptp.n0))) (let ((_let_31 (tptp.gt tptp.n2 tptp.n0))) (let ((_let_32 (tptp.gt tptp.n1 tptp.n0))) (let ((_let_33 (tptp.gt tptp.n6 tptp.n0))) (let ((_let_34 (tptp.gt tptp.n5 tptp.n0))) (let ((_let_35 (tptp.gt tptp.n4 tptp.n0))) (let ((_let_36 (tptp.gt tptp.n6 tptp.n5))) (let ((_let_37 (tptp.gt tptp.n6 tptp.n4))) (let ((_let_38 (tptp.gt tptp.n5 tptp.n4))) (let ((_let_39 (tptp.minus tptp.n6 tptp.n1))) (let ((_let_40 (tptp.leq tptp.pv57 _let_39))) (let ((_let_41 (tptp.leq tptp.pv5 (tptp.minus tptp.n999 tptp.n1)))) (let ((_let_42 (tptp.leq tptp.n0 tptp.pv57))) (let ((_let_43 (tptp.leq tptp.n0 tptp.pv5))) (let ((_let_44 (not (=> (and _let_43 _let_42 _let_41 _let_40 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (=> (and (tptp.leq tptp.n0 A) (tptp.leq tptp.n0 B) (tptp.leq A _let_1) (tptp.leq B _let_1)) (= (tptp.a_select3 tptp.q_ds1_filter A B) (tptp.a_select3 tptp.q_ds1_filter B A))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.minus tptp.n3 tptp.n1))) (=> (and (tptp.leq tptp.n0 C) (tptp.leq tptp.n0 D) (tptp.leq C _let_1) (tptp.leq D _let_1)) (= (tptp.a_select3 tptp.r_ds1_filter C D) (tptp.a_select3 tptp.r_ds1_filter D C))))) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (=> (and (tptp.leq tptp.n0 E) (tptp.leq tptp.n0 F) (tptp.leq E _let_1) (tptp.leq F _let_1)) (= (tptp.a_select3 tptp.pminus_ds1_filter E F) (tptp.a_select3 tptp.pminus_ds1_filter F E))))) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (= (tptp.a_select3 tptp.id_ds1_filter G H) (tptp.a_select3 tptp.id_ds1_filter H G)))) (let ((_let_2 (tptp.minus tptp.n6 tptp.n1))) (=> (and (tptp.leq tptp.n0 G) (tptp.leq tptp.n0 H) (tptp.leq G _let_2) (tptp.leq H _let_2)) (and (=> (and (tptp.lt H (tptp.plus tptp.n1 _let_2)) (= G tptp.pv57)) _let_1) (=> (tptp.lt G tptp.pv57) _let_1)))))) (forall ((I $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I (tptp.minus tptp.pv57 tptp.n1))) (forall ((J $$unsorted)) (=> (and (tptp.leq tptp.n0 J) (tptp.leq J (tptp.minus tptp.n6 tptp.n1))) (= (tptp.a_select3 tptp.id_ds1_filter I J) (tptp.a_select3 tptp.id_ds1_filter J I))))))) (and _let_43 _let_42 _let_41 _let_40 (forall ((K $$unsorted) (L $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (=> (and (tptp.leq tptp.n0 K) (tptp.leq tptp.n0 L) (tptp.leq K _let_1) (tptp.leq L _let_1)) (= (tptp.a_select3 tptp.q_ds1_filter K L) (tptp.a_select3 tptp.q_ds1_filter L K))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.minus tptp.n3 tptp.n1))) (=> (and (tptp.leq tptp.n0 M) (tptp.leq tptp.n0 N) (tptp.leq M _let_1) (tptp.leq N _let_1)) (= (tptp.a_select3 tptp.r_ds1_filter M N) (tptp.a_select3 tptp.r_ds1_filter N M))))) (forall ((O $$unsorted) (P $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (=> (and (tptp.leq tptp.n0 O) (tptp.leq tptp.n0 P) (tptp.leq O _let_1) (tptp.leq P _let_1)) (= (tptp.a_select3 tptp.pminus_ds1_filter O P) (tptp.a_select3 tptp.pminus_ds1_filter P O))))) (forall ((Q $$unsorted) (R $$unsorted)) (=> (and (tptp.leq tptp.n0 Q) (tptp.leq tptp.n0 R) (tptp.leq Q tptp.pv57) (tptp.leq R (tptp.minus tptp.n6 tptp.n1))) (= (tptp.a_select3 tptp.id_ds1_filter Q R) (tptp.a_select3 tptp.id_ds1_filter R Q)))) (forall ((S $$unsorted)) (=> (and (tptp.leq tptp.n0 S) (tptp.leq S (tptp.minus tptp.pv57 tptp.n1))) (forall ((T $$unsorted)) (=> (and (tptp.leq tptp.n0 T) (tptp.leq T (tptp.minus tptp.n6 tptp.n1))) (= (tptp.a_select3 tptp.id_ds1_filter S T) (tptp.a_select3 tptp.id_ds1_filter T S))))))))))) (let ((_let_45 (forall ((X $$unsorted)) (= (tptp.pred (tptp.succ X)) X)))) (let ((_let_46 (forall ((X $$unsorted)) (= (tptp.minus X tptp.n1) (tptp.pred X))))) (let ((_let_47 (forall ((X $$unsorted)) (= (tptp.plus tptp.n1 X) (tptp.succ X))))) (let ((_let_48 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X (tptp.pred Y)) (tptp.gt Y X))))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.gt Y X) (tptp.leq X Y))))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.lt X Y) (tptp.gt Y X))))) (let ((_let_51 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))))) (let ((_let_52 (tptp.leq tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (= tptp.n5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (= tptp.n4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (= tptp.n3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (= tptp.n2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (= tptp.n1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (= tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n5))) (let ((_let_60 (not _let_59))) (let ((_let_61 (not _let_52))) (let ((_let_62 (or _let_61 _let_60 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53))) (let ((_let_63 (= (tptp.a_select3 tptp.id_ds1_filter SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.a_select3 tptp.id_ds1_filter SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_64 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_39))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.pv57))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.leq tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_61 _let_69 _let_67 _let_65 _let_63))) (let ((_let_71 (forall ((Q $$unsorted) (R $$unsorted)) (or (not (tptp.leq tptp.n0 Q)) (not (tptp.leq tptp.n0 R)) (not (tptp.leq Q tptp.pv57)) (not (tptp.leq R (tptp.minus tptp.n6 tptp.n1))) (= (tptp.a_select3 tptp.id_ds1_filter Q R) (tptp.a_select3 tptp.id_ds1_filter R Q)))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (forall ((S $$unsorted) (BOUND_VARIABLE_2336 $$unsorted)) (or (not (tptp.leq tptp.n0 S)) (not (tptp.leq S (tptp.minus tptp.pv57 tptp.n1))) (not (tptp.leq tptp.n0 BOUND_VARIABLE_2336)) (not (tptp.leq BOUND_VARIABLE_2336 (tptp.minus tptp.n6 tptp.n1))) (= (tptp.a_select3 tptp.id_ds1_filter S BOUND_VARIABLE_2336) (tptp.a_select3 tptp.id_ds1_filter BOUND_VARIABLE_2336 S)))))) (let ((_let_74 (forall ((O $$unsorted) (P $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (or (not (tptp.leq tptp.n0 O)) (not (tptp.leq tptp.n0 P)) (not (tptp.leq O _let_1)) (not (tptp.leq P _let_1)) (= (tptp.a_select3 tptp.pminus_ds1_filter O P) (tptp.a_select3 tptp.pminus_ds1_filter P O))))))) (let ((_let_75 (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.minus tptp.n3 tptp.n1))) (or (not (tptp.leq tptp.n0 M)) (not (tptp.leq tptp.n0 N)) (not (tptp.leq M _let_1)) (not (tptp.leq N _let_1)) (= (tptp.a_select3 tptp.r_ds1_filter M N) (tptp.a_select3 tptp.r_ds1_filter N M))))))) (let ((_let_76 (forall ((K $$unsorted) (L $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (or (not (tptp.leq tptp.n0 K)) (not (tptp.leq tptp.n0 L)) (not (tptp.leq K _let_1)) (not (tptp.leq L _let_1)) (= (tptp.a_select3 tptp.q_ds1_filter K L) (tptp.a_select3 tptp.q_ds1_filter L K))))))) (let ((_let_77 (not _let_71))) (let ((_let_78 (forall ((I $$unsorted) (BOUND_VARIABLE_2274 $$unsorted)) (or (not (tptp.leq tptp.n0 I)) (not (tptp.leq I (tptp.minus tptp.pv57 tptp.n1))) (not (tptp.leq tptp.n0 BOUND_VARIABLE_2274)) (not (tptp.leq BOUND_VARIABLE_2274 (tptp.minus tptp.n6 tptp.n1))) (= (tptp.a_select3 tptp.id_ds1_filter I BOUND_VARIABLE_2274) (tptp.a_select3 tptp.id_ds1_filter BOUND_VARIABLE_2274 I)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (NOT_IMPLIES_ELIM1 _let_79))) (let ((_let_81 (AND_ELIM _let_80 :args (8)))) (let ((_let_82 (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_78 (= I S) (= BOUND_VARIABLE_2274 BOUND_VARIABLE_2336)))) :args ((or _let_73 (not _let_78)))))) (let ((_let_83 (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (or (not (tptp.leq tptp.n0 E)) (not (tptp.leq tptp.n0 F)) (not (tptp.leq E _let_1)) (not (tptp.leq F _let_1)) (= (tptp.a_select3 tptp.pminus_ds1_filter E F) (tptp.a_select3 tptp.pminus_ds1_filter F E))))))) (let ((_let_84 (AND_ELIM _let_80 :args (6)))) (let ((_let_85 (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_83 (= E O) (= F P)))) :args ((or _let_74 (not _let_83)))))) (let ((_let_86 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.minus tptp.n3 tptp.n1))) (or (not (tptp.leq tptp.n0 C)) (not (tptp.leq tptp.n0 D)) (not (tptp.leq C _let_1)) (not (tptp.leq D _let_1)) (= (tptp.a_select3 tptp.r_ds1_filter C D) (tptp.a_select3 tptp.r_ds1_filter D C))))))) (let ((_let_87 (AND_ELIM _let_80 :args (5)))) (let ((_let_88 (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_86 (= C M) (= D N)))) :args ((or _let_75 (not _let_86)))))) (let ((_let_89 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.minus tptp.n6 tptp.n1))) (or (not (tptp.leq tptp.n0 A)) (not (tptp.leq tptp.n0 B)) (not (tptp.leq A _let_1)) (not (tptp.leq B _let_1)) (= (tptp.a_select3 tptp.q_ds1_filter A B) (tptp.a_select3 tptp.q_ds1_filter B A))))))) (let ((_let_90 (AND_ELIM _let_80 :args (4)))) (let ((_let_91 (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_89 (= A K) (= B L)))) :args ((or _let_76 (not _let_89)))))) (let ((_let_92 (AND_ELIM _let_80 :args (3)))) (let ((_let_93 (AND_ELIM _let_80 :args (2)))) (let ((_let_94 (AND_ELIM _let_80 :args (1)))) (let ((_let_95 (AND_ELIM _let_80 :args (0)))) (let ((_let_96 (NOT_AND (NOT_IMPLIES_ELIM2 _let_79)))) (let ((_let_97 (or))) (let ((_let_98 (_let_77))) (let ((_let_99 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_71))) (REFL :args (_let_72)) :args _let_97)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST _let_99 (MACRO_RESOLUTION_TRUST _let_96 _let_95 _let_94 _let_93 _let_92 (MACRO_RESOLUTION_TRUST _let_91 _let_90 :args (_let_76 false _let_89)) (MACRO_RESOLUTION_TRUST _let_88 _let_87 :args (_let_75 false _let_86)) (MACRO_RESOLUTION_TRUST _let_85 _let_84 :args (_let_74 false _let_83)) (MACRO_RESOLUTION_TRUST _let_82 _let_81 :args (_let_73 false _let_78)) :args (_let_77 false _let_43 false _let_42 false _let_41 false _let_40 false _let_76 false _let_75 false _let_74 false _let_73)) :args (_let_72 true _let_71)))) (let ((_let_101 (REFL :args (_let_70)))) (let ((_let_102 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_52))) :args _let_97)) :args ((or _let_52 _let_70))))) (let ((_let_103 (MACRO_RESOLUTION_TRUST _let_102 _let_100 :args (_let_52 true _let_70)))) (let ((_let_104 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n5)) (= tptp.n0 X) (= tptp.n1 X) (= tptp.n2 X) (= tptp.n3 X) (= tptp.n4 X) (= tptp.n5 X))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 ((not (= (tptp.leq tptp.n0 X) false))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_106)) _let_105 :args (_let_62 false _let_104)))) (let ((_let_109 (= _let_7 (tptp.pred _let_8)))) (let ((_let_110 (= _let_39 (tptp.pred tptp.n6)))) (let ((_let_111 (tptp.leq tptp.n1 tptp.n5))) (let ((_let_112 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39))) (let ((_let_113 (= tptp.n6 _let_8))) (let ((_let_114 (= tptp.n5 _let_7))) (let ((_let_115 (not _let_57))) (let ((_let_116 (forall ((X $$unsorted)) (= X (tptp.pred (tptp.succ X)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((tptp.succ X)))) (let ((_let_120 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST _let_120 _let_117 :args (_let_109 false _let_116)))) (let ((_let_122 (_let_46))) (let ((_let_123 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_let_182 _let_185 _let_184 _let_178 _let_177 _let_171 _let_170 _let_103 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_455)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_457 _let_451 _let_389) (SCOPE (TRUE_ELIM (TRANS (CONG _let_452 _let_390 :args _let_211) (TRUE_INTRO _let_457))) :args _let_456)) :args _let_456)) :args (true _let_455)) :args ((or _let_134 (not _let_398) _let_359 _let_385))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_454)) :args ((or (not _let_35) _let_398 (not _let_454)))) (ASSUME :args (_let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n0 tptp.n4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_454 false _let_50)) :args (_let_398 false _let_35 false _let_454)) _let_453 _let_447 _let_121 _let_125 _let_244 _let_245 _let_443 _let_442 _let_103 (MACRO_RESOLUTION_TRUST _let_182 _let_185 _let_184 _let_178 _let_177 _let_171 _let_170 _let_103 (REORDERING 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_let_288 false _let_109 false _let_110 false _let_113 false _let_114)) (MACRO_RESOLUTION_TRUST _let_182 _let_185 _let_184 _let_178 _let_177 _let_171 _let_170 _let_103 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_425 _let_416 _let_389 _let_337) :args (_let_410 _let_135 _let_158 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_338 (CONG _let_417 _let_390 :args _let_211) (TRUE_INTRO _let_425))) :args (_let_410 _let_55 _let_158 _let_135)) :args ((not (and _let_410 _let_135 _let_158 _let_55)) SB_LITERAL))) (CONG (REFL :args (_let_423)) _let_333 _let_387 _let_424 :args _let_97)) :args ((or _let_134 _let_423 _let_385 _let_411))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_420)) :args ((or _let_422 _let_410 (not _let_420)))) _let_421 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n3 tptp.n4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_420 false _let_50)) :args (_let_410 false _let_20 false _let_420)) _let_419 _let_413 _let_121 _let_125 _let_244 _let_245 :args ((or _let_385 _let_411) true _let_136 true _let_63 false _let_143 false _let_145 false _let_64 false _let_68 false _let_52 false _let_134 false _let_410 false _let_112 false _let_287 false _let_109 false _let_110 false _let_113 false _let_114)) _let_409 _let_401 _let_400 _let_345 :args ((or _let_137 _let_57 _let_385) true _let_136 true _let_63 false _let_143 false _let_145 false _let_64 false _let_68 false _let_52 false _let_134 false _let_398 false _let_112 false _let_397 false _let_109 false _let_110 false _let_113 false _let_114 false _let_58 false _let_396 false _let_52 true _let_56 true _let_55 true _let_54 false _let_394 false _let_393 false _let_66)))) (let ((_let_459 (tptp.lt tptp.n0 tptp.n6))) (let ((_let_460 (tptp.lt tptp.n0 tptp.n1))) (let ((_let_461 (tptp.lt tptp.n0 tptp.n2))) (let ((_let_462 (tptp.lt tptp.n0 tptp.n3))) (let ((_let_463 (= _let_33 _let_459))) (let ((_let_464 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_463)) :args ((or (not _let_33) _let_459 (not _let_463)))) (ASSUME :args (_let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n0 tptp.n6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_463 false _let_50)) :args (_let_459 false _let_33 false _let_463)))) (let ((_let_465 (not _let_459))) (let ((_let_466 (and _let_113 _let_459 _let_58 _let_263 _let_110 _let_109))) (let ((_let_467 (ASSUME :args (_let_459)))) (let ((_let_468 (TRUE_INTRO _let_467))) (let ((_let_469 (= _let_32 _let_460))) (let ((_let_470 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_469)) :args ((or (not _let_32) _let_460 (not _let_469)))) (ASSUME :args (_let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_469 false _let_50)) :args (_let_460 false _let_32 false _let_469)))) (let ((_let_471 (not _let_460))) (let ((_let_472 (ASSUME :args (_let_460)))) (let ((_let_473 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_472 _let_451 _let_322 _let_337) :args (_let_460 _let_58 _let_135 _let_164)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_338 (CONG _let_452 _let_323 :args _let_211) (TRUE_INTRO _let_472))) :args (_let_460 _let_58 _let_164 _let_135)) :args ((not (and _let_460 _let_58 _let_135 _let_164)) SB_LITERAL))) (CONG (REFL :args (_let_471)) _let_360 _let_333 _let_319 :args _let_97)) :args ((or _let_134 _let_471 _let_359 _let_318))))) (let ((_let_474 (= _let_31 _let_461))) (let ((_let_475 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_474)) :args ((or (not _let_31) _let_461 (not _let_474)))) (ASSUME :args (_let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n0 tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_474 false _let_50)) :args (_let_461 false _let_31 false _let_474)))) (let ((_let_476 (not _let_461))) (let ((_let_477 (ASSUME :args (_let_461)))) (let ((_let_478 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_477 _let_451 _let_335 _let_337) :args (_let_461 _let_58 _let_135 _let_160)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_338 (CONG _let_452 _let_336 :args _let_211) (TRUE_INTRO _let_477))) :args (_let_461 _let_58 _let_160 _let_135)) :args ((not (and _let_461 _let_58 _let_135 _let_160)) SB_LITERAL))) (CONG (REFL :args (_let_476)) _let_360 _let_333 _let_332 :args _let_97)) :args ((or _let_134 _let_476 _let_359 _let_330))))) (let ((_let_479 (= _let_30 _let_462))) (let ((_let_480 (ASSUME :args (_let_30)))) (let ((_let_481 (not _let_30))) (let ((_let_482 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_479)) :args ((or _let_481 _let_462 (not _let_479)))) _let_480 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n0 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_479 false _let_50)) :args (_let_462 false _let_30 false _let_479)))) (let ((_let_483 (not _let_462))) (let ((_let_484 (ASSUME :args (_let_462)))) (let ((_let_485 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_484 _let_451 _let_372 _let_337) :args (_let_462 _let_58 _let_135 _let_162)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_338 (CONG _let_452 _let_373 :args _let_211) (TRUE_INTRO _let_484))) :args (_let_462 _let_58 _let_162 _let_135)) :args ((not (and _let_462 _let_58 _let_135 _let_162)) SB_LITERAL))) (CONG (REFL :args (_let_483)) _let_360 _let_333 _let_370 :args _let_97)) :args ((or _let_134 _let_483 _let_359 _let_368))))) (let ((_let_486 (MACRO_RESOLUTION_TRUST _let_485 _let_482 _let_382 _let_381 _let_375 _let_94 _let_478 _let_475 _let_473 _let_470 _let_315 _let_245 _let_313 _let_184 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_466)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_257 _let_253 _let_277 _let_451 _let_467 _let_244) (SCOPE (TRUE_ELIM (TRANS (CONG _let_452 _let_279 :args _let_211) _let_468)) :args (_let_109 _let_110 _let_263 _let_58 _let_459 _let_113))) :args (_let_113 _let_459 _let_58 _let_263 _let_110 _let_109))) :args (true _let_466)) :args ((or _let_248 _let_151 _let_465 _let_359 _let_274 _let_247 _let_246))) _let_464 _let_121 _let_125 _let_269 _let_244 _let_185 _let_184 _let_310 _let_182 _let_180 _let_179 _let_171 _let_170 _let_103 _let_178 _let_177 _let_171 _let_170 _let_103 _let_453 _let_447 _let_121 _let_125 _let_244 _let_245 :args ((or _let_165 _let_158 _let_359 _let_265) false _let_462 false _let_162 false _let_166 false _let_169 false _let_42 true _let_160 false _let_461 true _let_164 false _let_460 true _let_156 false _let_114 true _let_149 true _let_63 false _let_151 false _let_459 false _let_109 false _let_110 false _let_263 false _let_113 true _let_134 true _let_63 false _let_153 false _let_136 false _let_154 false _let_155 false _let_64 false _let_68 false _let_52 false _let_143 false _let_145 false _let_64 false _let_68 false _let_52 false _let_112 false _let_397 false _let_109 false _let_110 false _let_113 false _let_114)))) (let ((_let_487 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_488 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_487 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 X) false))))) :args (_let_283))))) (let ((_let_489 (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_61 _let_58 _let_57 _let_285 (not _let_286)))))) (let ((_let_490 (ASSUME :args (_let_285)))) (let ((_let_491 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_490 _let_322 _let_352) :args (_let_66 _let_164 _let_285)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_353 (CONG _let_351 _let_323 :args _let_252) (FALSE_INTRO _let_490))) :args (_let_285 _let_164 _let_66)) :args ((not (and _let_66 _let_164 _let_285)) SB_LITERAL))) (CONG _let_347 _let_319 (MACRO_SR_PRED_INTRO :args ((= (not _let_285) _let_284))) :args _let_97)) :args ((or _let_67 _let_284 _let_318))))) (let ((_let_492 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n2)) (= tptp.n0 X) (= tptp.n1 X) (= tptp.n2 X))))) (let ((_let_493 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_494 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_493 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 X) false))))) :args (_let_492))) _let_493 :args (_let_291 false _let_492)))) (let ((_let_495 (REORDERING (CNF_OR_POS :args (_let_291)) :args ((or _let_61 _let_58 _let_57 _let_56 _let_290 (not _let_291)))))) (let ((_let_496 (= tptp.n3 _let_3))) (let ((_let_497 (MACRO_SR_PRED_INTRO :args ((= (not _let_293) _let_292))))) (let ((_let_498 (ASSUME :args (_let_293)))) (let ((_let_499 (FALSE_INTRO _let_498))) (let ((_let_500 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_498 _let_372 _let_352) :args (_let_66 _let_162 _let_293)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_353 (CONG _let_351 _let_373 :args _let_252) _let_499)) :args (_let_293 _let_162 _let_66)) :args ((not (and _let_66 _let_162 _let_293)) SB_LITERAL))) (CONG _let_347 _let_370 _let_497 :args _let_97)) :args ((or _let_67 _let_292 _let_368))))) (let ((_let_501 (SYMM (ASSUME :args (_let_4))))) (let ((_let_502 (not _let_496))) (let ((_let_503 (REFL :args (_let_502)))) (let ((_let_504 (SYMM (SYMM _let_501)))) (let ((_let_505 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n3)) (= tptp.n0 X) (= tptp.n1 X) (= tptp.n2 X) (= tptp.n3 X))))) (let ((_let_506 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_507 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_506 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq tptp.n0 X) false))))) :args (_let_505))) _let_506 :args (_let_294 false _let_505)))) (let ((_let_508 (REORDERING (CNF_OR_POS :args (_let_294)) :args ((or _let_61 _let_58 _let_57 _let_56 _let_55 _let_293 (not _let_294)))))) (let ((_let_509 (MACRO_RESOLUTION_TRUST _let_508 _let_507 _let_103 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_501 _let_372 _let_416 _let_324) :args (_let_496 _let_138 _let_162 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_326 (TRUE_INTRO (TRANS _let_373 _let_504 (SYMM (TRANS _let_417 _let_504)))))) :args (_let_496 _let_162 _let_55 _let_138)) :args ((not (and _let_496 _let_138 _let_162 _let_55)) SB_LITERAL))) (CONG _let_503 _let_320 _let_370 _let_424 :args _let_97)) _let_501 _let_500 _let_345 :args ((or _let_58 _let_137 _let_57 _let_56 _let_368) false _let_294 false _let_52 true _let_55 false _let_496 false _let_292 false _let_66)))) (let ((_let_510 (ASSUME :args (_let_290)))) (let ((_let_511 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_510 _let_335 _let_352) :args (_let_66 _let_160 _let_290)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_353 (CONG _let_351 _let_336 :args _let_252) (FALSE_INTRO _let_510))) :args (_let_290 _let_160 _let_66)) :args ((not (and _let_66 _let_160 _let_290)) SB_LITERAL))) (CONG _let_347 _let_332 (MACRO_SR_PRED_INTRO :args ((= (not _let_290) _let_289))) :args _let_97)) :args ((or _let_67 _let_289 _let_330))))) (let ((_let_512 (tptp.leq tptp.n0 tptp.n3))) (let ((_let_513 (tptp.leq tptp.n1 tptp.n3))) (let ((_let_514 (tptp.leq tptp.n2 tptp.n3))) (let ((_let_515 (= _let_3 (tptp.pred _let_6)))) (let ((_let_516 (tptp.leq tptp.n3 (tptp.pred tptp.n4)))) (let ((_let_517 (or _let_481 _let_512))) (let ((_let_518 (not _let_512))) (let ((_let_519 (REFL :args (tptp.n3)))) (let ((_let_520 (SYMM _let_499))) (let ((_let_521 (or _let_366 _let_513))) (let ((_let_522 (not _let_513))) (let ((_let_523 (MACRO_RESOLUTION_TRUST _let_488 _let_487 :args (_let_286 false _let_283)))) (let ((_let_524 (not _let_21))) (let ((_let_525 (or _let_524 _let_514))) (let ((_let_526 (ASSUME :args (_let_21)))) (let ((_let_527 (not _let_514))) (let ((_let_528 (REFL :args (_let_427)))) (let ((_let_529 (= _let_20 _let_516))) (let ((_let_530 (_let_48))) (let ((_let_531 (ASSUME :args _let_530))) (let ((_let_532 (not _let_515))) (let ((_let_533 (not _let_516))) (let ((_let_534 (ASSUME :args (_let_516)))) (let ((_let_535 (ASSUME :args (_let_515)))) (let ((_let_536 (tptp.leq tptp.n4 tptp.n5))) (let ((_let_537 (tptp.lt tptp.n4 tptp.n6))) (let ((_let_538 (or _let_220 _let_536))) (let ((_let_539 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_538)) :args ((or _let_220 _let_536 (not _let_538)))) _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.n4 tptp.n5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_538 false _let_128)) :args (_let_536 false _let_38 false _let_538)))) (let ((_let_540 (and _let_114 _let_113 _let_536 _let_110 _let_109 _let_54))) (let ((_let_541 (ASSUME :args (_let_536)))) (let ((_let_542 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_540)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_541 _let_245 _let_407 _let_257 _let_244 _let_253) (SCOPE (TRUE_ELIM (TRANS (CONG _let_351 _let_299 :args _let_252) (CONG _let_408 _let_245 :args _let_252) (CONG (REFL :args (tptp.n4)) _let_259 :args _let_252) (TRUE_INTRO _let_541))) :args (_let_536 _let_114 _let_54 _let_109 _let_113 _let_110))) :args (_let_114 _let_113 _let_536 _let_110 _let_109 _let_54))) :args (true _let_540)) :args ((or _let_249 _let_248 _let_112 (not _let_536) _let_247 _let_246 _let_402))))) (let ((_let_543 (= _let_37 _let_537))) (let ((_let_544 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_543)) :args ((or (not _let_37) _let_537 (not _let_543)))) (ASSUME :args (_let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n4 tptp.n6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_543 false _let_50)) :args (_let_537 false _let_37 false _let_543)))) (let ((_let_545 (not _let_537))) (let ((_let_546 (and _let_113 _let_537 _let_263 _let_110 _let_109 _let_54))) (let ((_let_547 (ASSUME :args (_let_537)))) (let ((_let_548 (TRUE_INTRO _let_547))) (let ((_let_549 (MACRO_RESOLUTION_TRUST _let_409 _let_401 _let_382 _let_381 _let_375 _let_94 _let_315 _let_245 _let_313 _let_184 _let_311 _let_184 _let_310 _let_309 _let_180 _let_179 _let_171 _let_170 _let_103 _let_178 _let_177 _let_171 _let_170 _let_103 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_546)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_407 _let_257 _let_253 _let_277 _let_547 _let_244) (SCOPE (TRUE_ELIM (TRANS (CONG _let_408 _let_279 :args _let_211) _let_548)) :args (_let_54 _let_109 _let_110 _let_263 _let_537 _let_113))) :args (_let_113 _let_537 _let_263 _let_110 _let_109 _let_54))) :args (true _let_546)) :args ((or _let_248 _let_151 _let_545 _let_274 _let_247 _let_246 _let_402))) _let_544 _let_121 _let_125 _let_269 _let_244 _let_542 _let_539 _let_121 _let_125 _let_244 _let_245 _let_282 _let_244 _let_268 _let_267 _let_124 _let_123 _let_120 _let_117 _let_273 _let_272 _let_271 _let_203 :args ((or _let_165 _let_164 _let_160 _let_162 _let_402 _let_265) false _let_394 false _let_158 false _let_166 false _let_169 false _let_42 true _let_156 false _let_114 true _let_149 true _let_63 true _let_137 true _let_63 false _let_153 false _let_142 false _let_154 false _let_155 false _let_64 false _let_68 false _let_52 false _let_143 false _let_145 false _let_64 false _let_68 false _let_52 false _let_151 false _let_537 false _let_109 false _let_110 false _let_263 false _let_113 false _let_112 false _let_536 false _let_109 false _let_110 false _let_113 false _let_114 false _let_140 false _let_113 false _let_263 false _let_47 false _let_110 false _let_46 false _let_109 false _let_116 false _let_264 false _let_36 false _let_270 false _let_50)))) (let ((_let_550 (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_58 _let_57 _let_56 _let_55 _let_54 _let_60 _let_53 (not _let_62)))))) (let ((_let_551 (ASSUME :args (_let_60)))) (let ((_let_552 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_551 _let_212 _let_352) :args (_let_66 _let_156 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_353 (CONG _let_351 _let_213 :args _let_252) (FALSE_INTRO _let_551))) :args (_let_60 _let_156 _let_66)) :args ((not (and _let_66 _let_156 _let_60)) SB_LITERAL))) (CONG _let_347 _let_207 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_97)) :args ((or _let_67 _let_59 _let_200))))) (let ((_let_553 (not _let_53))) (let ((_let_554 (and _let_138 _let_156))) (let ((_let_555 (_let_138 _let_156))) (let ((_let_556 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_554)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_324 _let_212) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_213) _let_351 :args _let_362) _let_325)) :args _let_555)) :args _let_555)) :args (true _let_554)) (CONG _let_320 _let_207 (REFL :args (_let_553)) :args _let_97)))) (let ((_let_557 (tptp.lt tptp.n2 tptp.n6))) (let ((_let_558 (tptp.lt tptp.n2 tptp.n3))) (let ((_let_559 (and _let_114 _let_113 _let_110 _let_109 _let_112))) (let ((_let_560 (ASSUME :args (_let_112)))) (let ((_let_561 (tptp.lt tptp.n3 tptp.n6))) (let ((_let_562 (= _let_18 _let_561))) (let ((_let_563 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_562)) :args ((or (not _let_18) _let_561 (not _let_562)))) (ASSUME :args (_let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n3 tptp.n6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_562 false _let_50)) :args (_let_561 false _let_18 false _let_562)))) (let ((_let_564 (not _let_561))) (let ((_let_565 (and _let_113 _let_561 _let_263 _let_110 _let_109 _let_55))) (let ((_let_566 (ASSUME :args (_let_561)))) (let ((_let_567 (TRUE_INTRO _let_566))) (let ((_let_568 (= _let_22 _let_557))) (let ((_let_569 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_568)) :args ((or (not _let_22) _let_557 (not _let_568)))) (ASSUME :args (_let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n2 tptp.n6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_568 false _let_50)) :args (_let_557 false _let_22 false _let_568)))) (let ((_let_570 (not _let_557))) (let ((_let_571 (and _let_113 _let_557 _let_263 _let_110 _let_109 _let_56))) (let ((_let_572 (ASSUME :args (_let_557)))) (let ((_let_573 (TRUE_INTRO _let_572))) (let ((_let_574 (and _let_138 _let_160))) (let ((_let_575 (_let_138 _let_160))) (let ((_let_576 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_574)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_324 _let_335) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_336) _let_351 :args _let_362) _let_325)) :args _let_575)) :args _let_575)) :args (true _let_574)) (CONG _let_320 _let_332 _let_528 :args _let_97)) _let_495 _let_494 _let_103 _let_511 _let_345 _let_382 _let_381 _let_375 _let_94 _let_491 _let_345 _let_354 _let_345 _let_489 _let_523 _let_103 _let_358 _let_357 _let_103 :args ((or _let_58 _let_137 _let_162 _let_158 _let_57 _let_156) false _let_56 false _let_291 false _let_52 false _let_289 false _let_66 false _let_160 false _let_166 false _let_169 false _let_42 true _let_164 false _let_66 true _let_165 false _let_66 true _let_284 false _let_286 false _let_52 true _let_340 false _let_342 false _let_52)))) (let ((_let_577 (= _let_21 _let_558))) (let ((_let_578 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_577)) :args ((or _let_524 _let_558 (not _let_577)))) _let_526 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n2 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_577 false _let_50)) :args (_let_558 false _let_21 false _let_577)))) (let ((_let_579 (not _let_558))) (let ((_let_580 (ASSUME :args (_let_558)))) (let ((_let_581 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_580 _let_434 _let_372 _let_337) :args (_let_558 _let_135 _let_162 _let_56)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_338 (CONG _let_435 _let_373 :args _let_211) (TRUE_INTRO _let_580))) :args (_let_558 _let_56 _let_162 _let_135)) :args ((not (and _let_558 _let_135 _let_162 _let_56)) SB_LITERAL))) (CONG (REFL :args (_let_579)) _let_333 _let_370 _let_528 :args _let_97)) :args ((or _let_134 _let_579 _let_368 _let_427))))) (let ((_let_582 (and _let_40 _let_114 _let_113 _let_137 _let_110 _let_109))) (let ((_let_583 (ASSUME :args (_let_137)))) (let ((_let_584 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_582)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_378 _let_253 _let_244 _let_257 _let_245 _let_583) (SCOPE (TRUE_ELIM (TRANS (CONG _let_351 _let_450 :args _let_252) (CONG (SYMM _let_583) (REFL :args (tptp.n5)) :args _let_252) _let_380 _let_379)) :args (_let_40 _let_110 _let_113 _let_109 _let_114 _let_137))) :args (_let_40 _let_114 _let_113 _let_137 _let_110 _let_109))) :args (true _let_582)) :args ((or _let_376 _let_249 _let_248 _let_112 _let_138 _let_247 _let_246))))) (let ((_let_585 (MACRO_RESOLUTION_TRUST _let_584 _let_121 _let_125 _let_244 _let_245 _let_92 _let_178 _let_177 _let_171 _let_170 _let_103 _let_309 _let_311 _let_184 (MACRO_RESOLUTION_TRUST _let_185 _let_184 _let_182 (MACRO_RESOLUTION_TRUST _let_581 _let_578 _let_576 _let_315 _let_245 _let_313 _let_184 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_571)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_434 _let_257 _let_253 _let_277 _let_572 _let_244) (SCOPE (TRUE_ELIM (TRANS (CONG _let_435 _let_279 :args _let_211) _let_573)) :args (_let_56 _let_109 _let_110 _let_263 _let_557 _let_113))) :args (_let_113 _let_557 _let_263 _let_110 _let_109 _let_56))) :args (true _let_571)) :args ((or _let_248 _let_151 _let_570 _let_274 _let_247 _let_246 _let_427))) _let_569 _let_121 _let_125 _let_269 _let_244 (MACRO_RESOLUTION_TRUST _let_556 _let_550 _let_108 _let_103 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_565)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_257 _let_253 _let_416 _let_277 _let_566 _let_244) (SCOPE (TRUE_ELIM (TRANS (CONG _let_418 _let_279 :args _let_211) _let_567)) :args (_let_109 _let_110 _let_55 _let_263 _let_561 _let_113))) :args (_let_113 _let_561 _let_263 _let_110 _let_109 _let_55))) :args (true _let_565)) :args ((or _let_248 _let_151 _let_564 _let_274 _let_247 _let_246 _let_411))) _let_563 _let_121 _let_125 _let_269 _let_244 _let_313 _let_184 _let_315 _let_245 _let_549 _let_382 _let_381 _let_375 _let_94 _let_509 _let_511 _let_345 _let_495 _let_494 _let_103 _let_491 _let_344 _let_489 _let_102 _let_99 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_88 _let_87 _let_85 _let_84 _let_82 _let_81 _let_488 _let_487 _let_486 _let_363 _let_458 _let_392 :args ((or _let_137 _let_56 _let_60 _let_312 _let_265) false _let_53 false _let_62 false _let_52 true _let_55 false _let_561 false _let_109 false _let_110 false _let_263 false _let_113 true _let_151 true _let_63 false _let_149 false _let_114 true _let_54 false _let_156 false _let_166 false _let_169 false _let_42 true _let_162 true _let_160 false _let_66 true _let_289 false _let_291 false _let_52 true _let_164 false _let_66 true _let_284 false _let_52 true _let_70 true _let_71 false _let_43 false _let_42 false _let_41 false _let_40 false _let_76 false _let_89 false _let_75 false _let_86 false _let_74 false _let_83 false _let_73 false _let_78 false _let_286 false _let_283 true _let_58 true _let_165 true _let_158 true _let_57)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_559)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_560 _let_253 _let_244 _let_257 _let_245) (SCOPE (TRUE_ELIM (TRANS (CONG _let_351 _let_261 :args _let_252) (TRUE_INTRO _let_560))) :args (_let_112 _let_110 _let_113 _let_109 _let_114))) :args (_let_114 _let_113 _let_110 _let_109 _let_112))) :args (true _let_559)) :args ((or _let_249 _let_248 _let_144 _let_59 _let_247 _let_246))) _let_121 _let_125 _let_244 _let_245 _let_310 _let_180 _let_179 _let_171 _let_170 _let_103 _let_486 _let_363 _let_458 _let_392 :args ((or _let_137 _let_144 _let_134 _let_265) false _let_558 false _let_162 true _let_156 false _let_114 true _let_149 true _let_63 false _let_151 false _let_557 false _let_109 false _let_110 false _let_263 false _let_113 false _let_56 false _let_59 false _let_109 false _let_110 false _let_113 false _let_114 false _let_153 false _let_154 false _let_155 false _let_64 false _let_68 false _let_52 true _let_58 true _let_165 true _let_158 true _let_57)) _let_178 _let_177 _let_171 _let_170 _let_103 (MACRO_RESOLUTION_TRUST _let_556 (MACRO_RESOLUTION_TRUST _let_552 _let_345 _let_382 _let_381 _let_375 _let_94 _let_400 _let_345 _let_550 _let_108 _let_103 _let_443 _let_442 _let_103 _let_549 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_534 _let_401 _let_535 _let_416 _let_501 _let_498) :args (_let_394 _let_496 _let_516 _let_515 _let_55 _let_293)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_520 (CONG _let_417 _let_504 :args _let_252) (CONG _let_519 (TRANS (SYMM (SYMM _let_535)) (CONG _let_405 :args _let_255)) :args _let_252) (TRUE_INTRO _let_534))) :args (_let_516 _let_394 _let_515 _let_55 _let_496 _let_293)) :args ((not (and _let_394 _let_496 _let_516 _let_515 _let_55 _let_293)) SB_LITERAL))) (CONG _let_404 _let_503 (REFL :args (_let_533)) (REFL :args (_let_532)) _let_424 _let_497 :args _let_97)) :args ((or _let_403 _let_502 _let_292 _let_533 _let_532 _let_411))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_529)) :args ((or _let_422 _let_516 (not _let_529)))) _let_421 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_531 :args (tptp.n3 tptp.n4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.gt Y X)))) :args _let_530))) _let_531 :args (_let_529 false _let_48)) :args (_let_516 false _let_20 false _let_529)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_515 false _let_116)) _let_501 _let_401 _let_511 _let_345 _let_495 _let_494 _let_103 (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_520 (CONG _let_435 _let_519 :args _let_252) (TRUE_INTRO (ASSUME :args (_let_514))))) :args (_let_514 _let_56 _let_293))) (CONG (REFL :args (_let_527)) _let_528 _let_497 :args _let_97)) :args ((or _let_292 _let_527 _let_427))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_525)) :args ((or _let_524 _let_514 (not _let_525)))) _let_526 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.n2 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_525 false _let_128)) :args (_let_514 false _let_21 false _let_525)) _let_491 _let_345 _let_489 _let_523 _let_103 (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_520 (CONG _let_301 _let_519 :args _let_252) (TRUE_INTRO (ASSUME :args (_let_513))))) :args (_let_513 _let_57 _let_293))) (CONG (REFL :args (_let_522)) _let_317 _let_497 :args _let_97)) :args ((or _let_292 _let_522 _let_115))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_521)) :args ((or _let_366 _let_513 (not _let_521)))) _let_365 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.n1 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_521 false _let_128)) :args (_let_513 false _let_25 false _let_521)) _let_354 _let_345 _let_358 _let_357 _let_103 (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_520 (CONG _let_452 _let_519 :args _let_252) (TRUE_INTRO (ASSUME :args (_let_512))))) :args (_let_512 _let_58 _let_293))) (CONG (REFL :args (_let_518)) _let_360 _let_497 :args _let_97)) :args ((or _let_292 _let_518 _let_359))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_517)) :args ((or _let_481 _let_512 (not _let_517)))) _let_480 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.n0 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_517 false _let_128)) :args (_let_512 false _let_30 false _let_517)) _let_500 _let_345 :args ((or _let_53 _let_292 _let_265) false _let_66 false _let_156 false _let_166 false _let_169 false _let_42 true _let_158 false _let_66 true _let_59 false _let_62 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_let_263 false _let_113 true _let_195 false _let_557 false _let_109 false _let_110 false _let_263 false _let_113 true _let_193 false _let_561 false _let_109 false _let_110 false _let_263 false _let_113 true _let_189 false _let_537 false _let_109 false _let_110 false _let_263 false _let_113)) _let_184 _let_584 _let_121 _let_125 _let_244 _let_245 _let_92 :args (_let_138 false _let_143 false _let_145 false _let_64 false _let_68 false _let_52 true _let_142 false _let_140 true _let_63 false _let_112 false _let_109 false _let_110 false _let_113 false _let_114 false _let_40)))) (let ((_let_602 (MACRO_RESOLUTION_TRUST _let_363 _let_601 :args (_let_343 true _let_137)))) (let ((_let_603 (MACRO_RESOLUTION_TRUST _let_382 _let_602 _let_381 _let_375 _let_94 _let_327 _let_601 _let_316 _let_374 _let_367 _let_339 _let_329 _let_391 _let_384 (MACRO_RESOLUTION_TRUST _let_581 _let_578 _let_509 _let_601 _let_576 _let_601 (MACRO_RESOLUTION_TRUST _let_382 _let_602 _let_381 _let_375 _let_94 _let_473 _let_470 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:args ((or _let_428 _let_199 (not _let_587)))) _let_430 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n2 tptp.n5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_587 false _let_50)) :args (_let_199 false _let_23 false _let_587)) _let_586 _let_585 _let_262 _let_243 _let_170 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_240 _let_241 _let_212 _let_216) :args (_let_192 _let_147 _let_193 _let_156)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_217 (CONG _let_242 _let_213 :args _let_211) (TRUE_INTRO _let_240))) :args (_let_192 _let_193 _let_156 _let_147)) :args ((not (and _let_192 _let_147 _let_193 _let_156)) SB_LITERAL))) (CONG (REFL :args (_let_238)) _let_209 _let_239 _let_207 :args _let_97)) :args ((or _let_146 _let_238 _let_237 _let_200))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_234)) :args ((or _let_236 _let_192 (not _let_234)))) _let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n3 tptp.n5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_234 false _let_50)) :args (_let_192 false _let_19 false _let_234)) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_231 _let_232 _let_212 _let_216) :args (_let_190 _let_191 _let_147 _let_156)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_217 (CONG _let_233 _let_213 :args _let_211) (TRUE_INTRO _let_231))) :args (_let_190 _let_191 _let_156 _let_147)) :args ((not (and _let_190 _let_191 _let_147 _let_156)) SB_LITERAL))) (CONG (REFL :args (_let_229)) _let_230 _let_209 _let_207 :args _let_97)) :args ((or _let_146 _let_229 _let_228 _let_200))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_227)) :args ((or (not _let_34) _let_190 (not _let_227)))) (ASSUME :args (_let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 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(_let_218 false _let_50)) :args (_let_188 false _let_38 false _let_218)) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_210 _let_214 _let_212 _let_216) :args (_let_186 _let_147 _let_187 _let_156)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_217 (CONG _let_215 _let_213 :args _let_211) (TRUE_INTRO _let_210))) :args (_let_186 _let_187 _let_156 _let_147)) :args ((not (and _let_186 _let_147 _let_187 _let_156)) SB_LITERAL))) (CONG (REFL :args (_let_206)) _let_209 _let_208 _let_207 :args _let_97)) :args ((or _let_146 _let_206 _let_205 _let_200))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_201)) :args ((or _let_126 _let_186 (not _let_201)))) _let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.n1 tptp.n5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_204)) :args _let_202))) _let_203 :args (_let_201 false _let_50)) :args (_let_186 false _let_28 false _let_201)) :args ((or _let_146 _let_200) false _let_199 false _let_195 true _let_194 false _let_196 false _let_198 false _let_68 true _let_193 false _let_192 true _let_191 false _let_190 true _let_189 false _let_188 true _let_187 false _let_186)) (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_63 _let_147 (not _let_148)))) _let_184 _let_185 _let_184 (REORDERING (CNF_AND_POS :args (_let_154 1)) :args ((or _let_148 _let_183))) _let_182 _let_180 _let_179 _let_171 _let_170 _let_103 _let_178 _let_177 _let_171 _let_170 _let_103 :args (_let_144 true _let_165 false _let_166 false _let_169 false _let_42 true _let_164 true _let_137 false _let_163 true _let_162 false _let_161 true _let_160 false _let_159 true _let_158 false _let_157 false _let_57 true _let_156 true _let_146 true _let_63 true _let_134 true _let_63 false _let_148 false _let_136 false _let_154 false _let_155 false _let_64 false _let_68 false _let_52 false _let_143 false _let_145 false _let_64 false _let_68 false _let_52)))) (let ((_let_604 (MACRO_RESOLUTION_TRUST _let_302 _let_245 _let_244 _let_603 _let_133 _let_125 _let_121 :args (_let_115 false _let_114 false _let_113 true _let_112 false _let_111 false _let_110 false _let_109)))) (let ((_let_605 (MACRO_RESOLUTION_TRUST _let_436 _let_245 _let_244 _let_603 _let_431 _let_125 _let_121 :args (_let_427 false _let_114 false _let_113 true _let_112 false _let_288 false _let_110 false _let_109)))) (let ((_let_606 (MACRO_RESOLUTION_TRUST _let_453 _let_245 _let_244 _let_603 _let_447 _let_125 _let_121 :args (_let_359 false _let_114 false _let_113 true _let_112 false _let_397 false _let_110 false _let_109)))) (let ((_let_607 (MACRO_RESOLUTION_TRUST _let_576 _let_606 _let_601 (MACRO_RESOLUTION_TRUST _let_509 _let_606 _let_601 _let_604 _let_605 :args (_let_368 true _let_58 true _let_137 true _let_57 true _let_56)) (MACRO_RESOLUTION_TRUST _let_458 _let_601 _let_604 :args (_let_385 true _let_137 true _let_57)) _let_604 :args (_let_156 true _let_58 true _let_137 true _let_162 true _let_158 true _let_57)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_550 (MACRO_RESOLUTION_TRUST _let_556 _let_601 _let_607 :args (_let_553 true _let_137 false _let_156)) (MACRO_RESOLUTION_TRUST _let_552 _let_345 _let_607 :args (_let_59 false _let_66 false _let_156)) (MACRO_RESOLUTION_TRUST _let_542 _let_245 _let_244 _let_603 _let_539 _let_125 _let_121 :args (_let_402 false _let_114 false _let_113 true _let_112 false _let_536 false _let_110 false _let_109)) _let_606 (MACRO_RESOLUTION_TRUST _let_419 _let_245 _let_244 _let_603 _let_413 _let_125 _let_121 :args (_let_411 false _let_114 false _let_113 true _let_112 false _let_287 false _let_110 false _let_109)) _let_605 _let_604 _let_108 _let_103 :args (false true _let_53 false _let_59 true _let_54 true _let_58 true _let_55 true _let_56 true _let_57 false _let_62 false _let_52)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.gt X Y) (tptp.gt Y X) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.gt X Y) (tptp.gt Y Z)) (tptp.gt X Z))) (forall ((X $$unsorted)) (not (tptp.gt X X))) (forall ((X $$unsorted)) (tptp.leq X X)) _let_51 _let_50 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.geq X Y) (tptp.leq Y X))) _let_49 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.leq X Y) (not (= X Y))) (tptp.gt Y X))) _let_48 (forall ((X $$unsorted)) (tptp.gt (tptp.succ X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq X Y) (tptp.leq X (tptp.succ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.gt (tptp.succ Y) X))) (forall ((X $$unsorted) (C $$unsorted)) (=> (tptp.leq tptp.n0 X) (tptp.leq (tptp.uniform_int_rnd C X) X))) (forall ((X $$unsorted) (C $$unsorted)) (=> (tptp.leq tptp.n0 X) (tptp.leq tptp.n0 (tptp.uniform_int_rnd C X)))) (forall ((I $$unsorted) (L $$unsorted) (U $$unsorted) (Val $$unsorted)) (=> (and (tptp.leq L I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim L U) Val) I) Val))) (forall ((I $$unsorted) (L1 $$unsorted) (U1 $$unsorted) (J $$unsorted) (L2 $$unsorted) (U2 $$unsorted) (Val $$unsorted)) (=> (and (tptp.leq L1 I) (tptp.leq I U1) (tptp.leq L2 J) (tptp.leq J U2)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim L1 U1) (tptp.dim L2 U2) Val) I J) Val))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.trans A))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.inv A))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted) (VAL $$unsorted)) (let ((_let_1 (tptp.tptp_update3 A K K VAL))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N) (tptp.leq tptp.n0 K) (tptp.leq K N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_msub A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 D I J) (tptp.a_select3 D J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 F I J) (tptp.a_select3 F J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A (tptp.tptp_mmul B (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul C (tptp.tptp_mmul D (tptp.trans C))) (tptp.tptp_mmul E (tptp.tptp_mmul F (tptp.trans E)))) (tptp.trans B)))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((Body $$unsorted)) (= (tptp.sum tptp.n0 tptp.tptp_minus_1 Body) tptp.n0)) (forall ((Body $$unsorted)) (= tptp.tptp_float_0_0 (tptp.sum tptp.n0 tptp.tptp_minus_1 Body))) (= (tptp.succ tptp.tptp_minus_1) tptp.n0) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n1) (tptp.succ X))) _let_47 (forall ((X $$unsorted)) (= (tptp.plus X tptp.n2) (tptp.succ (tptp.succ X)))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n2 X) (tptp.succ (tptp.succ X)))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n3) (tptp.succ (tptp.succ (tptp.succ X))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n3 X) (tptp.succ (tptp.succ (tptp.succ X))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n4) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n4 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n5) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n5 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) _let_46 _let_45 (forall ((X $$unsorted)) (= (tptp.succ (tptp.pred X)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq (tptp.succ X) (tptp.succ Y)) (tptp.leq X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.succ X) Y) (tptp.gt Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.minus X Y) X) (tptp.leq tptp.n0 Y))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (VAL $$unsorted)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) U V) VAL)) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= J V) (= (tptp.a_select3 X U V) VAL)) (= (tptp.a_select3 (tptp.tptp_update3 X I J VAL2) U V) VAL))) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted) (J0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq tptp.n0 J0) (tptp.leq I0 U) (tptp.leq J0 V)) (= (tptp.a_select3 X I0 J0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U) (tptp.leq tptp.n0 J) (tptp.leq J V)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) I J) VAL))) (forall ((X $$unsorted) (U $$unsorted) (VAL $$unsorted)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) U) VAL)) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= (tptp.a_select2 X U) VAL)) (= (tptp.a_select2 (tptp.tptp_update2 X I VAL2) U) VAL))) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq I0 U)) (= (tptp.a_select2 X I0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) I) VAL))) tptp.true (not (= tptp.def tptp.use)) _let_44 _let_38 _let_37 (tptp.gt tptp.n999 tptp.n4) _let_36 (tptp.gt tptp.n999 tptp.n5) (tptp.gt tptp.n999 tptp.n6) (tptp.gt tptp.n4 tptp.tptp_minus_1) (tptp.gt tptp.n5 tptp.tptp_minus_1) (tptp.gt tptp.n6 tptp.tptp_minus_1) (tptp.gt tptp.n999 tptp.tptp_minus_1) (tptp.gt tptp.n0 tptp.tptp_minus_1) (tptp.gt tptp.n1 tptp.tptp_minus_1) (tptp.gt tptp.n2 tptp.tptp_minus_1) (tptp.gt tptp.n3 tptp.tptp_minus_1) _let_35 _let_34 _let_33 (tptp.gt tptp.n999 tptp.n0) _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 (tptp.gt tptp.n999 tptp.n1) _let_26 _let_25 _let_24 _let_23 _let_22 (tptp.gt tptp.n999 tptp.n2) _let_21 _let_20 _let_19 _let_18 (tptp.gt tptp.n999 tptp.n3) _let_17 _let_16 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n6)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4) (= X tptp.n5) (= X tptp.n6)))) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_5 (= _let_2 tptp.n2) _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.69 )
% 0.20/0.69 % SZS output end Proof for SWV111+1
% 0.20/0.69 % cvc5---1.0.5 exiting
% 0.20/0.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------