TSTP Solution File: SWW660_2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW660_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 : Fri Sep 1 00:21:51 EDT 2023
% Result : Theorem 59.13s 59.38s
% Output : Proof 59.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : SWW660_2 : TPTP v8.1.2. Released v6.1.0.
% 0.10/0.15 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.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 : Sun Aug 27 22:09:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_ARI
% 59.13/59.38 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.18WgxNorN5/cvc5---1.0.5_22930.p...
% 59.13/59.38 ------- get file name : TPTP file name is SWW660_2
% 59.13/59.38 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22930.smt2...
% 59.13/59.38 --- Run --finite-model-find --decision=internal at 15...
% 59.13/59.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 59.13/59.38 --- Run --no-e-matching --full-saturate-quant at 15...
% 59.13/59.38 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 59.13/59.38 % SZS status Theorem for SWW660_2
% 59.13/59.38 % SZS output start Proof for SWW660_2
% 59.13/59.38 (
% 59.13/59.38 (let ((_let_1 (not (forall ((A Int) (A1 tptp.map_int_int) (Data Int) (Data1 tptp.map_int_int)) (=> (and (<= 0 A) (<= 0 Data) (= Data A) (tptp.range2 Data1 Data)) (=> (<= 0 (- Data 1)) (forall ((Data2 tptp.map_int_int) (I Int)) (=> (and (<= 0 I) (<= I (- Data 1))) (=> (and (tptp.permut_all tptp.int (tptp.mk_array1 tptp.int Data (tptp.t2tb2 Data1)) (tptp.mk_array1 tptp.int Data (tptp.t2tb2 Data2))) (tptp.sorted_sub1 (tptp.tb2t1 (tptp.mk_array1 tptp.int A (tptp.t2tb2 A1))) Data2 0 I) (tptp.range2 Data2 Data)) (forall ((J Int) (Data3 tptp.map_int_int)) (let ((_let_1 (tptp.t2tb2 Data3))) (let ((_let_2 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb J))))) (let ((_let_3 (- J 1))) (let ((_let_4 (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb _let_3))))) (let ((_let_5 (<= 0 J))) (let ((_let_6 (tptp.tb2t1 (tptp.mk_array1 tptp.int A (tptp.t2tb2 A1))))) (=> (and _let_5 (<= J I) (tptp.range2 Data3 Data) (tptp.permut_all tptp.int (tptp.mk_array1 tptp.int Data (tptp.t2tb2 Data1)) (tptp.mk_array1 tptp.int Data _let_1)) (tptp.sorted_sub1 _let_6 Data3 0 J) (tptp.sorted_sub1 _let_6 Data3 J (+ I 1)) (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb2 Data3))) (=> (and (<= 0 K1) (< K1 J) (<= (+ J 1) K2) (<= K2 I)) (tptp.le1 (tptp.tb2t1 (tptp.mk_array1 tptp.int A (tptp.t2tb2 A1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K2)))))))) (=> (< 0 J) (=> (and (<= 0 Data) _let_5 (< J Data)) (=> (and (<= 0 _let_3) (< _let_3 Data)) (=> (and (<= 0 _let_4) (<= _let_4 A) (<= 0 _let_2) (<= _let_2 A)) (forall ((O Int)) (let ((_let_1 (and (<= 0 J) (< J Data)))) (let ((_let_2 (- J 1))) (let ((_let_3 (< 0 O))) (let ((_let_4 (tptp.t2tb2 Data3))) (let ((_let_5 (tptp.tb2t (tptp.get tptp.int tptp.int _let_4 (tptp.t2tb _let_2))))) (let ((_let_6 (tptp.tb2t (tptp.get tptp.int tptp.int _let_4 (tptp.t2tb J))))) (let ((_let_7 (tptp.tb2t1 (tptp.mk_array1 tptp.int A (tptp.t2tb2 A1))))) (=> (and (=> (= O 0) (= _let_5 _let_6)) (=> (< O 0) (tptp.lt1 _let_7 _let_5 _let_6)) (=> _let_3 (tptp.lt1 _let_7 _let_6 _let_5))) (=> _let_3 (=> _let_1 (=> (and (<= 0 _let_2) (< _let_2 Data)) (=> _let_1 (forall ((Data4 tptp.map_int_int)) (let ((_let_1 (- J 1))) (let ((_let_2 (tptp.t2tb2 Data3))) (=> (and (<= 0 Data) (= Data4 (tptp.tb2t2 (tptp.set tptp.int tptp.int _let_2 (tptp.t2tb J) (tptp.get tptp.int tptp.int _let_2 (tptp.t2tb _let_1)))))) (=> (and (<= 0 _let_1) (< _let_1 Data)) (forall ((Data5 tptp.map_int_int)) (let ((_let_1 (- J 1))) (let ((_let_2 (tptp.t2tb2 Data3))) (=> (and (<= 0 Data) (= Data5 (tptp.tb2t2 (tptp.set tptp.int tptp.int (tptp.t2tb2 Data4) (tptp.t2tb _let_1) (tptp.get tptp.int tptp.int _let_2 (tptp.t2tb J)))))) (=> (tptp.exchange3 tptp.int (tptp.mk_array1 tptp.int Data _let_2) (tptp.mk_array1 tptp.int Data (tptp.t2tb2 Data5)) _let_1 J) (forall ((J1 Int)) (=> (= J1 (- J 1)) (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb2 Data5))) (=> (and (<= 0 K1) (< K1 J1) (<= (+ J1 1) K2) (<= K2 I)) (tptp.le1 (tptp.tb2t1 (tptp.mk_array1 tptp.int A (tptp.t2tb2 A1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K2))))))))))))))))))))))))))))))))))))))))))))))))))))) (let ((_let_2 (forall ((A tptp.array_int) (Data tptp.map_int_int) (L Int) (U Int)) (= (tptp.sorted_sub1 A Data L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb2 Data))) (=> (and (<= L I1) (<= I1 I2) (< I2 U)) (tptp.le1 A (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb I1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb I2))))))))))) (let ((_let_3 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.exchange3 A A1 A2 I J) (and (= _let_1 (tptp.length1 A A2)) (tptp.exchange2 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1 I J))))))) (let ((_let_4 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int) (J Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.t2tb J))) (= (tptp.exchange2 A A1 A2 L U I J) (and (<= L I) (< I U) (<= L J) (< J U) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_2)) (= (tptp.get A tptp.int A1 _let_2) (tptp.get A tptp.int A2 _let_1)) (forall ((K Int)) (let ((_let_1 (tptp.t2tb K))) (=> (and (<= L K) (< K U)) (=> (not (= K I)) (=> (not (= K J)) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1)))))))))))))) (let ((_let_5 (forall ((J tptp.uni)) (= (tptp.t2tb2 (tptp.tb2t2 J)) J)))) (let ((_let_6 (forall ((X tptp.map_int_int)) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb2 X))))) (let ((_let_7 (forall ((A tptp.ty) (A1 tptp.uni) (I Int)) (= (tptp.get2 A A1 I) (tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb I)))))) (let ((_let_8 (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)))) (let ((_let_9 (forall ((I Int)) (= (tptp.tb2t (tptp.t2tb I)) I)))) (let ((_let_10 (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb X))))) (let ((_let_11 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int A) U1) (= (tptp.elts A (tptp.mk_array1 A U U1)) U1))))) (let ((_let_12 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni)) (=> (tptp.sort1 A A1) (=> (tptp.sort1 A A2) (forall ((B1 tptp.uni)) (=> (not (= A1 A2)) (= (tptp.get B A (tptp.set B A M A1 B1) A2) (tptp.get B A M A2))))))))) (let ((_let_13 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105))) (let ((_let_14 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_15 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_16 (tptp.get tptp.int tptp.int _let_15 _let_14))) (let ((_let_17 (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_18 (tptp.t2tb _let_17))) (let ((_let_19 (tptp.get tptp.int tptp.int _let_15 _let_18))) (let ((_let_20 (tptp.set tptp.int tptp.int _let_15 _let_14 _let_19))) (let ((_let_21 (tptp.t2tb2 (tptp.tb2t2 _let_20)))) (let ((_let_22 (tptp.set tptp.int tptp.int _let_21 _let_18 _let_16))) (let ((_let_23 (tptp.tb2t2 _let_22))) (let ((_let_24 (tptp.t2tb2 _let_23))) (let ((_let_25 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104))) (let ((_let_26 (tptp.tb2t1 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_98))))) (let ((_let_27 (tptp.le1 _let_26 (tptp.tb2t (tptp.get tptp.int tptp.int _let_24 _let_25)) (tptp.tb2t (tptp.get tptp.int tptp.int _let_24 _let_13))))) (let ((_let_28 (= _let_20 _let_21))) (let ((_let_29 (= _let_22 _let_24))) (let ((_let_30 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_15))) (let ((_let_31 (tptp.elts tptp.int _let_30))) (let ((_let_32 (= _let_15 _let_31))) (let ((_let_33 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_24))) (let ((_let_34 (tptp.elts tptp.int _let_33))) (let ((_let_35 (= _let_24 _let_34))) (let ((_let_36 (tptp.tb2t _let_18))) (let ((_let_37 (= _let_18 (tptp.t2tb _let_36)))) (let ((_let_38 (tptp.get tptp.int tptp.int _let_34 _let_14))) (let ((_let_39 (= (tptp.get2 tptp.int _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101) _let_38))) (let ((_let_40 (= (tptp.get tptp.int tptp.int _let_31 _let_18) _let_38))) (let ((_let_41 (tptp.get tptp.int tptp.int _let_15 _let_25))) (let ((_let_42 (= _let_41 (tptp.get tptp.int tptp.int _let_20 _let_25)))) (let ((_let_43 (tptp.tb2t _let_19))) (let ((_let_44 (tptp.tb2t _let_41))) (let ((_let_45 (tptp.le1 _let_26 _let_44 _let_43))) (let ((_let_46 (= (tptp.get tptp.int tptp.int _let_21 _let_25) (tptp.get tptp.int tptp.int _let_22 _let_25)))) (let ((_let_47 (= (tptp.get2 tptp.int _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105) (tptp.get tptp.int tptp.int _let_34 _let_13)))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105))) (let ((_let_49 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_103 1))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.tb2t _let_16))) (let ((_let_52 (and _let_49 (not (tptp.lt1 _let_26 _let_51 _let_43))))) (let ((_let_53 (and (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_103 0)) (not (tptp.lt1 _let_26 _let_43 _let_51))))) (let ((_let_54 (and (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_103 0) (not (= _let_43 _let_51))))) (let ((_let_55 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104)))) (let ((_let_56 (>= _let_55 2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 0))) (let ((_let_59 (not _let_58))) (let ((_let_60 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106))) (let ((_let_61 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 _let_60) 1))) (let ((_let_62 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105))) (let ((_let_63 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 _let_62))) (let ((_let_64 (>= _let_63 1))) (let ((_let_65 (tptp.exchange3 tptp.int _let_30 _let_33 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_66 (not _let_65))) (let ((_let_67 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (* (- 1) _let_51)) 0)))) (let ((_let_68 (not (>= _let_51 0)))) (let ((_let_69 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (* (- 1) _let_43)) 0)))) (let ((_let_70 (not (>= _let_43 0)))) (let ((_let_71 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_72 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_71))) (let ((_let_73 (not (>= _let_72 0)))) (let ((_let_74 (not (>= _let_72 1)))) (let ((_let_75 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 1))) (let ((_let_76 (not _let_75))) (let ((_let_77 (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (or (not (>= K1 0)) (>= (+ K1 _let_2) 0) (not (>= (+ K2 _let_2) 1)) (>= (+ K2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106)) 1) (tptp.le1 (tptp.tb2t1 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_98))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K2)))))))))) (let ((_let_78 (not _let_77))) (let ((_let_79 (not (tptp.sorted_sub1 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 (+ 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106))))) (let ((_let_80 (tptp.sorted_sub1 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100)))) (let ((_let_83 (not (tptp.permut_all tptp.int _let_82 _let_30)))) (let ((_let_84 (not (tptp.range2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99)))) (let ((_let_85 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 0))) (let ((_let_86 (not _let_85))) (let ((_let_87 (not (tptp.range2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99)))) (let ((_let_88 (not (tptp.sorted_sub1 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106)))) (let ((_let_89 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_60) 1)))) (let ((_let_90 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 0)))) (let ((_let_91 (not (tptp.permut_all tptp.int _let_82 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_107)))))) (let ((_let_92 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 1)))) (let ((_let_93 (not (tptp.range2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99)))) (let ((_let_94 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 0)))) (let ((_let_95 (or _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 _let_60) 1) _let_84 _let_83 _let_81 _let_79 _let_78 _let_76 _let_74 _let_73 _let_70 _let_69 _let_68 _let_67 _let_66 _let_64 _let_61 _let_59 _let_57 _let_27 _let_54 _let_53 _let_52 _let_50))) (let ((_let_96 (not _let_27))) (let ((_let_97 (forall ((A1 tptp.map_int_int) (Data Int) (Data1 tptp.map_int_int) (BOUND_VARIABLE_3492 Int) (BOUND_VARIABLE_3490 tptp.map_int_int) (BOUND_VARIABLE_3488 Int) (BOUND_VARIABLE_3486 Int) (BOUND_VARIABLE_3484 Int) (BOUND_VARIABLE_3482 Int) (BOUND_VARIABLE_3480 tptp.map_int_int)) (let ((_let_1 (>= BOUND_VARIABLE_3488 1))) (let ((_let_2 (+ (- 1) BOUND_VARIABLE_3492))) (let ((_let_3 (tptp.t2tb _let_2))) (let ((_let_4 (tptp.t2tb2 BOUND_VARIABLE_3490))) (let ((_let_5 (tptp.get tptp.int tptp.int _let_4 _let_3))) (let ((_let_6 (tptp.tb2t _let_5))) (let ((_let_7 (tptp.t2tb BOUND_VARIABLE_3492))) (let ((_let_8 (tptp.get tptp.int tptp.int _let_4 _let_7))) (let ((_let_9 (tptp.tb2t _let_8))) (let ((_let_10 (tptp.tb2t1 (tptp.mk_array1 tptp.int Data (tptp.t2tb2 A1))))) (let ((_let_11 (tptp.t2tb2 (tptp.tb2t2 (tptp.set tptp.int tptp.int (tptp.t2tb2 (tptp.tb2t2 (tptp.set tptp.int tptp.int _let_4 _let_7 _let_5))) _let_3 _let_8))))) (let ((_let_12 (* (- 1) BOUND_VARIABLE_3492))) (let ((_let_13 (tptp.mk_array1 tptp.int Data _let_4))) (let ((_let_14 (+ Data _let_12))) (let ((_let_15 (tptp.mk_array1 tptp.int Data (tptp.t2tb2 Data1)))) (or (not (>= Data 0)) (not (tptp.range2 Data1 Data)) (not (>= Data 1)) (not (tptp.permut_all tptp.int _let_15 (tptp.mk_array1 tptp.int Data (tptp.t2tb2 BOUND_VARIABLE_3480)))) (not (>= BOUND_VARIABLE_3482 0)) (not (>= (+ Data (* (- 1) BOUND_VARIABLE_3482)) 1)) (not (tptp.sorted_sub1 _let_10 BOUND_VARIABLE_3480 0 BOUND_VARIABLE_3482)) (not (tptp.range2 BOUND_VARIABLE_3480 Data)) (not (>= BOUND_VARIABLE_3492 0)) (not (>= (+ BOUND_VARIABLE_3482 _let_12) 0)) (not (tptp.range2 BOUND_VARIABLE_3490 Data)) (not (tptp.permut_all tptp.int _let_15 _let_13)) (not (tptp.sorted_sub1 _let_10 BOUND_VARIABLE_3490 0 BOUND_VARIABLE_3492)) (not (tptp.sorted_sub1 _let_10 BOUND_VARIABLE_3490 BOUND_VARIABLE_3492 (+ 1 BOUND_VARIABLE_3482))) (not (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb2 BOUND_VARIABLE_3490))) (let ((_let_2 (* (- 1) BOUND_VARIABLE_3492))) (or (not (>= K1 0)) (>= (+ K1 _let_2) 0) (not (>= (+ K2 _let_2) 1)) (>= (+ K2 (* (- 1) BOUND_VARIABLE_3482)) 1) (tptp.le1 (tptp.tb2t1 (tptp.mk_array1 tptp.int Data (tptp.t2tb2 A1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb K2))))))))) (not (>= BOUND_VARIABLE_3492 1)) (not (>= _let_14 1)) (not (>= _let_14 0)) (not (>= _let_6 0)) (not (>= (+ Data (* (- 1) _let_6)) 0)) (not (>= _let_9 0)) (not (>= (+ Data (* (- 1) _let_9)) 0)) (not (tptp.exchange3 tptp.int _let_13 (tptp.mk_array1 tptp.int Data _let_11) _let_2 BOUND_VARIABLE_3492)) (not (>= (+ BOUND_VARIABLE_3484 _let_12) 0)) (not (>= (+ BOUND_VARIABLE_3482 (* (- 1) BOUND_VARIABLE_3484)) 0)) (not (>= BOUND_VARIABLE_3486 0)) (>= (+ BOUND_VARIABLE_3486 _let_12) (- 1)) (tptp.le1 _let_10 (tptp.tb2t (tptp.get tptp.int tptp.int _let_11 (tptp.t2tb BOUND_VARIABLE_3486))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_11 (tptp.t2tb BOUND_VARIABLE_3484)))) (and (= BOUND_VARIABLE_3488 0) (not (= _let_6 _let_9))) (and (not (>= BOUND_VARIABLE_3488 0)) (not (tptp.lt1 _let_10 _let_6 _let_9))) (and _let_1 (not (tptp.lt1 _let_10 _let_9 _let_6))) (not _let_1)))))))))))))))))))) (let ((_let_98 (not _let_95))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (or))) (let ((_let_101 (not _let_97))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_99) :args (_let_101)) (REWRITE :args ((=> _let_101 (not (or _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 _let_71) 0)) _let_84 _let_83 _let_81 _let_79 _let_78 _let_76 _let_74 _let_73 _let_70 _let_69 _let_68 _let_67 _let_66 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 _let_71) 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 _let_62) 0)) _let_59 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 _let_71) (- 1)) _let_27 _let_54 _let_53 _let_52 _let_50))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_97))) (REFL :args (_let_98)) :args _let_100)) _let_99 :args (_let_98 true _let_97)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_95 27)) _let_102 :args (_let_96 true _let_95)))) (let ((_let_104 (forall ((J tptp.uni)) (= J (tptp.t2tb2 (tptp.tb2t2 J)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_105 :args (_let_28 false _let_104)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_105 :args (_let_29 false _let_104)))) (let ((_let_109 (tptp.map tptp.int tptp.int))) (let ((_let_110 (tptp.sort1 _let_109 _let_15))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_32))) (let ((_let_113 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (or (not (tptp.sort1 (tptp.map tptp.int A) U1)) (= U1 (tptp.elts A (tptp.mk_array1 A U U1))))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((tptp.mk_array1 A U U1)))) (let ((_let_117 (_let_6))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 ((tptp.t2tb2 X)))) (let ((_let_120 (tptp.sort1 _let_109 _let_24))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_35))) (let ((_let_123 (forall ((J tptp.uni)) (= J (tptp.t2tb (tptp.tb2t J)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_7))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 ((tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb I))))) (let ((_let_128 (tptp.length1 tptp.int _let_30))) (let ((_let_129 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 (* (- 1) _let_128)))) (let ((_let_130 (and _let_75 (not (>= _let_129 1)) _let_85 (not (>= _let_129 0)) _let_40 (= (tptp.get tptp.int tptp.int _let_31 _let_14) (tptp.get tptp.int tptp.int _let_34 _let_18)) (forall ((K Int)) (let ((_let_1 (tptp.t2tb K))) (let ((_let_2 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_3 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (let ((_let_4 (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_5 (tptp.t2tb _let_4))) (let ((_let_6 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_3))) (or (not (>= K 0)) (>= (+ K (* (- 1) (tptp.length1 tptp.int _let_6))) 0) (= K _let_4) (= K SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101) (= (tptp.get tptp.int tptp.int (tptp.elts tptp.int _let_6) _let_1) (tptp.get tptp.int tptp.int (tptp.elts tptp.int (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (tptp.t2tb2 (tptp.tb2t2 (tptp.set tptp.int tptp.int (tptp.t2tb2 (tptp.tb2t2 (tptp.set tptp.int tptp.int _let_3 _let_2 (tptp.get tptp.int tptp.int _let_3 _let_5)))) _let_5 (tptp.get tptp.int tptp.int _let_3 _let_2)))))) _let_1))))))))))))) (let ((_let_131 (tptp.exchange2 tptp.int _let_31 _let_34 0 _let_128 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101))) (let ((_let_132 (= _let_131 _let_130))) (let ((_let_133 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int) (J Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.t2tb J))) (let ((_let_3 (* (- 1) J))) (let ((_let_4 (* (- 1) I))) (= (tptp.exchange2 A A1 A2 L U I J) (and (not (>= (+ L _let_4) 1)) (>= (+ U _let_4) 1) (not (>= (+ L _let_3) 1)) (>= (+ U _let_3) 1) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_2)) (= (tptp.get A tptp.int A1 _let_2) (tptp.get A tptp.int A2 _let_1)) (forall ((K Int)) (let ((_let_1 (tptp.t2tb K))) (let ((_let_2 (* (- 1) K))) (or (>= (+ L _let_2) 1) (not (>= (+ U _let_2) 1)) (= I K) (= J K) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1))))))))))))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (and (= _let_128 (tptp.length1 tptp.int _let_33)) _let_131))) (let ((_let_136 (= _let_65 _let_135))) (let ((_let_137 (_let_3))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 (REFL :args (_let_95)))) (let ((_let_140 (= _let_14 _let_25))) (let ((_let_141 (tptp.sort1 tptp.int _let_25))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.sort1 tptp.int _let_14))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_144 _let_142 _let_140 _let_42))) (let ((_let_146 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni) (BOUND_VARIABLE_1968 tptp.uni)) (or (not (tptp.sort1 A A1)) (not (tptp.sort1 A A2)) (= A1 A2) (= (tptp.get B A M A2) (tptp.get B A (tptp.set B A M A1 BOUND_VARIABLE_1968) A2)))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (_let_146))) (let ((_let_149 ((tptp.get B A (tptp.set B A M A1 BOUND_VARIABLE_1968) A2)))) (let ((_let_150 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 (tptp.tb2t _let_25)))) (let ((_let_151 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 (tptp.tb2t _let_14)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 26)) (CONG _let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_100)) :args ((or _let_56 _let_95))) _let_102 :args (_let_56 true _let_95)))) (let ((_let_153 (forall ((I Int)) (= I (tptp.tb2t (tptp.t2tb I)))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (_let_153))) (let ((_let_156 ((tptp.t2tb I)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_150 false _let_153)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_151 false _let_153)))) (let ((_let_159 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104))) (let ((_let_160 (not _let_159))) (let ((_let_161 (_let_159))) (let ((_let_162 (ASSUME :args _let_161))) (let ((_let_163 (ASSUME :args (_let_150)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (APPLY_UF tptp.tb2t))) (let ((_let_166 (ASSUME :args (_let_140)))) (let ((_let_167 (ASSUME :args (_let_151)))) (let ((_let_168 (SYMM (SYMM _let_167)))) (let ((_let_169 (_let_56))) (let ((_let_170 (false))) (let ((_let_171 (ASSUME :args _let_169))) (let ((_let_172 (_let_10))) (let ((_let_173 (ASSUME :args _let_172))) (let ((_let_174 ((tptp.t2tb X)))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_172)) _let_173 :args (_let_143 false _let_10)))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_172)) _let_173 :args (_let_141 false _let_10)))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_142 _let_144 _let_140 _let_42 (not _let_145)))) _let_176 _let_175 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS _let_171 (SCOPE (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_162 _let_171 :args (1 (- 1))) :args _let_170) :args _let_161) :args _let_169)) (MODUS_PONENS (AND_INTRO _let_163 _let_166 _let_167) (SCOPE (TRANS _let_168 (CONG (SYMM (SYMM _let_166)) :args _let_165) _let_164) :args (_let_150 _let_140 _let_151)))) :args (_let_56 _let_150 _let_151 _let_140)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_160)))) (TRUE_INTRO _let_162))) :args (_let_160 _let_159)) :args ((not (and _let_56 _let_150 _let_151 _let_140)) SB_LITERAL))) _let_158 _let_157 _let_152 :args ((not _let_140) false _let_151 false _let_150 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.int tptp.int _let_15 _let_14 _let_25 _let_19 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_148)) _let_147 :args (_let_145 false _let_146)) :args (_let_42 false _let_141 false _let_143 true _let_140 false _let_145)))) (let ((_let_178 (>= _let_55 1))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_59 _let_179 _let_45))) (let ((_let_181 (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102))) (or (not (>= I1 0)) (>= (+ I1 (* (- 1) I2)) 1) (>= (+ I2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101)) 0) (tptp.le1 (tptp.tb2t1 (tptp.mk_array1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_98))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb I1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb I2))))))))) (let ((_let_182 (= _let_80 _let_181))) (let ((_let_183 (forall ((A tptp.array_int) (Data tptp.map_int_int) (L Int) (U Int)) (= (tptp.sorted_sub1 A Data L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb2 Data))) (let ((_let_2 (* (- 1) I2))) (or (>= (+ L (* (- 1) I1)) 1) (>= (+ I1 _let_2) 1) (not (>= (+ U _let_2) 1)) (tptp.le1 A (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb I1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb I2)))))))))))) (let ((_let_184 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_185 (_let_181))) (let ((_let_186 (> _let_55 0))) (let ((_let_187 (ASSUME :args (_let_179)))) (let ((_let_188 ((<= _let_55 0)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_187 _let_171) :args (_let_56 _let_179)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_188) _let_171 :args (1.0 (- 1.0))) :args _let_170) :args _let_188) :args (_let_186)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_187 :args ((< _let_55 1)))) :args ((not _let_186)))) :args (_let_179 _let_56)) :args ((not (and _let_56 _let_179)) SB_LITERAL))) (CONG (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_179) _let_178))) :args _let_100)) _let_152 :args (_let_178 false _let_56)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 25)) (CONG _let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_100)) :args ((or _let_58 _let_95))) _let_102 :args (_let_58 true _let_95)))) (let ((_let_191 (= _let_18 _let_25))) (let ((_let_192 (tptp.sort1 tptp.int _let_18))) (let ((_let_193 (not _let_192))) (let ((_let_194 (or _let_193 _let_142 _let_191 _let_46))) (let ((_let_195 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 (+ 1 _let_36)))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155))) _let_154 :args (_let_195 false _let_153)))) (let ((_let_197 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 _let_36))) (let ((_let_198 (* (- 1) _let_36))) (let ((_let_199 (= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 _let_198) 0))) (let ((_let_200 ((not _let_199)))) (let ((_let_201 (_let_199))) (let ((_let_202 (ASSUME :args (_let_195)))) (let ((_let_203 (MACRO_SR_PRED_TRANSFORM _let_202 :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 _let_198) 1))))) (let ((_let_204 (ASSUME :args (_let_191)))) (let ((_let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_172)) _let_173 :args (_let_192 false _let_10)))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_193 _let_142 _let_191 _let_46 (not _let_194)))) _let_205 _let_176 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_202 _let_171 (MODUS_PONENS (AND_INTRO _let_204 _let_163) (SCOPE (TRANS (SYMM _let_164) (CONG (SYMM _let_204) :args _let_165)) :args (_let_191 _let_150)))) :args (_let_56 _let_191 _let_150 _let_195)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_197)) :args _let_201) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_201) _let_171 _let_203 :args ((- 1.0) (- 1.0) 1.0)) :args _let_170) :args _let_201) :args _let_200) :args _let_200)) :args (_let_195 _let_56 _let_197)) :args ((not (and _let_56 _let_191 _let_150 _let_195)) SB_LITERAL))) _let_196 _let_157 _let_152 :args ((not _let_191) false _let_195 false _let_150 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.int tptp.int _let_21 _let_18 _let_25 _let_16 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_148)) _let_147 :args (_let_194 false _let_146)) :args (_let_46 false _let_192 false _let_141 true _let_191 false _let_194)))) (let ((_let_207 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 (tptp.tb2t _let_13)))) (let ((_let_208 (= _let_14 _let_13))) (let ((_let_209 (tptp.sort1 tptp.int _let_13))) (let ((_let_210 (tptp.get tptp.int tptp.int _let_15 _let_13))) (let ((_let_211 (= _let_210 (tptp.get tptp.int tptp.int _let_20 _let_13)))) (let ((_let_212 (not _let_209))) (let ((_let_213 (or _let_144 _let_212 _let_208 _let_211))) (let ((_let_214 (= (tptp.get tptp.int tptp.int _let_21 _let_13) (tptp.get tptp.int tptp.int _let_22 _let_13)))) (let ((_let_215 (tptp.le1 _let_26 _let_44 (tptp.tb2t _let_210)))) (let ((_let_216 (>= _let_63 0))) (let ((_let_217 (or _let_59 _let_179 _let_216 _let_61 _let_215))) (let ((_let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 QUANTIFIERS_INST_CBQI_PROP)) :args _let_155)) _let_154 :args (_let_207 false _let_153)))) (let ((_let_219 (not _let_207))) (let ((_let_220 (and _let_151 _let_208 _let_207))) (let ((_let_221 (ASSUME :args (_let_207)))) (let ((_let_222 (SYMM _let_221))) (let ((_let_223 (ASSUME :args (_let_208)))) (let ((_let_224 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_172)) _let_173 :args (_let_209 false _let_10)))) (let ((_let_225 (= _let_18 _let_13))) (let ((_let_226 (or _let_193 _let_212 _let_225 _let_214))) (let ((_let_227 (not _let_225))) (let ((_let_228 (not _let_64))) (let ((_let_229 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_95 23)) :args ((or _let_228 _let_95))) _let_102 :args (_let_228 true _let_95)))) (let ((_let_230 (MACRO_SR_PRED_INTRO :args ((= (not _let_228) _let_64))))) (let ((_let_231 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 _let_36))) (let ((_let_232 (< _let_63 1))) (let ((_let_233 (_let_232))) (let ((_let_234 (ASSUME :args (_let_228)))) (let ((_let_235 (MACRO_SR_PRED_TRANSFORM _let_234 :args _let_233))) (let ((_let_236 (ASSUME :args (_let_225)))) (let ((_let_237 (not _let_42))) (let ((_let_238 (REFL :args (_let_237)))) (let ((_let_239 (not _let_46))) (let ((_let_240 (REFL :args (_let_239)))) (let ((_let_241 (not _let_29))) (let ((_let_242 (REFL :args (_let_241)))) (let ((_let_243 (not _let_28))) (let ((_let_244 (REFL :args (_let_243)))) (let ((_let_245 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_27))))) (let ((_let_246 (ASSUME :args (_let_215)))) (let ((_let_247 (APPLY_UF tptp.le1))) (let ((_let_248 (ASSUME :args (_let_211)))) (let ((_let_249 (APPLY_UF tptp.get))) (let ((_let_250 (REFL :args (_let_13)))) (let ((_let_251 (ASSUME :args (_let_28)))) (let ((_let_252 (SYMM _let_251))) (let ((_let_253 (REFL :args (tptp.int)))) (let ((_let_254 (ASSUME :args (_let_214)))) (let ((_let_255 (ASSUME :args (_let_29)))) (let ((_let_256 (SYMM _let_255))) (let ((_let_257 (ASSUME :args (_let_42)))) (let ((_let_258 (REFL :args (_let_25)))) (let ((_let_259 (ASSUME :args (_let_46)))) (let ((_let_260 (CONG (TRANS (CONG _let_253 _let_253 _let_256 _let_258 :args _let_249) (SYMM _let_259) (CONG _let_253 _let_253 _let_252 _let_258 :args _let_249) (SYMM _let_257)) :args _let_165))) (let ((_let_261 (REFL :args (_let_26)))) (let ((_let_262 (ASSUME :args (_let_96)))) (let ((_let_263 (SYMM (FALSE_INTRO _let_262)))) (let ((_let_264 (not _let_61))) (let ((_let_265 (_let_77))) (let ((_let_266 ((not _let_216)))) (let ((_let_267 (not _let_48))) (let ((_let_268 (_let_267))) (let ((_let_269 (not _let_47))) (let ((_let_270 (not _let_45))) (let ((_let_271 (not _let_40))) (let ((_let_272 (not _let_39))) (let ((_let_273 (not _let_37))) (let ((_let_274 (not _let_35))) (let ((_let_275 (not _let_32))) (let ((_let_276 (ASSUME :args (_let_45)))) (let ((_let_277 (ASSUME :args (_let_37)))) (let ((_let_278 (CONG (CONG _let_253 _let_253 (REFL :args (_let_15)) (SYMM _let_277) :args _let_249) :args _let_165))) (let ((_let_279 (ASSUME :args (_let_32)))) (let ((_let_280 (ASSUME :args (_let_40)))) (let ((_let_281 (ASSUME :args (_let_39)))) (let ((_let_282 (ASSUME :args (_let_48)))) (let ((_let_283 (ASSUME :args (_let_47)))) (let ((_let_284 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_276 _let_277 _let_257 _let_251 _let_259 _let_255 _let_279 _let_280 _let_281 _let_282 _let_283 _let_284 _let_262) :args (_let_48 _let_96 _let_28 _let_29 _let_46 _let_32 _let_35 _let_42 _let_37 _let_39 _let_40 _let_45 _let_47)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_263 (CONG _let_261 _let_260 (TRANS (CONG (TRANS (CONG _let_253 _let_253 (SYMM (SYMM _let_284)) _let_250 :args _let_249) (SYMM _let_283) (CONG _let_253 (REFL :args (_let_33)) (SYMM _let_282) :args (APPLY_UF tptp.get2)) (SYMM (SYMM _let_281)) (SYMM _let_280) (CONG _let_253 _let_253 (SYMM _let_279) (REFL :args (_let_18)) :args _let_249)) :args _let_165) (SYMM _let_278)) :args _let_247) (CONG _let_261 (REFL :args (_let_44)) _let_278 :args _let_247) (TRUE_INTRO _let_276))) :args (_let_45 _let_37 _let_42 _let_28 _let_46 _let_29 _let_32 _let_40 _let_39 _let_48 _let_47 _let_35 _let_96)) :args ((not (and _let_48 _let_96 _let_28 _let_29 _let_46 _let_32 _let_35 _let_42 _let_37 _let_39 _let_40 _let_45 _let_47)) SB_LITERAL))) (CONG (REFL :args _let_268) _let_245 _let_244 _let_242 _let_240 (REFL :args (_let_275)) (REFL :args (_let_274)) _let_238 (REFL :args (_let_273)) (REFL :args (_let_272)) (REFL :args (_let_271)) (REFL :args (_let_270)) (REFL :args (_let_269)) :args _let_100)) :args ((or _let_27 _let_243 _let_241 _let_267 _let_239 _let_275 _let_274 _let_237 _let_273 _let_272 _let_271 _let_270 _let_269))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (ASSUME :args (_let_216)) (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (INT_TIGHT_UB _let_235) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_268) :args ((not (= _let_63 0)))) :args ((< _let_63 0))) :args _let_266)) :args (_let_228 _let_267 _let_216))) (CONG _let_230 (MACRO_SR_PRED_INTRO :args ((= (not _let_267) _let_48))) (REFL :args _let_266) :args _let_100)) _let_229 (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_59 _let_61 _let_179 _let_216 _let_215 (not _let_217)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_265) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.le1 _let_26 (tptp.tb2t (tptp.get tptp.int tptp.int _let_15 (tptp.t2tb K1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_15 (tptp.t2tb K2)))) true))))) :args _let_265))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 14)) (CONG _let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_100)) :args ((or _let_77 _let_95))) _let_102 :args (_let_77 true _let_95)) :args (_let_217 false _let_77)) _let_189 _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_95 24)) :args ((or _let_264 _let_95))) _let_102 :args (_let_264 true _let_95)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_246 _let_257 _let_251 _let_259 _let_255 _let_248 _let_254 _let_262) :args (_let_96 _let_28 _let_29 _let_214 _let_46 _let_42 _let_211 _let_215)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_263 (CONG _let_261 _let_260 (CONG (TRANS (CONG _let_253 _let_253 _let_256 _let_250 :args _let_249) (SYMM _let_254) (CONG _let_253 _let_253 _let_252 _let_250 :args _let_249) (SYMM _let_248)) :args _let_165) :args _let_247) (TRUE_INTRO _let_246))) :args (_let_215 _let_42 _let_28 _let_46 _let_29 _let_211 _let_214 _let_96)) :args ((not (and _let_96 _let_28 _let_29 _let_214 _let_46 _let_42 _let_211 _let_215)) SB_LITERAL))) (CONG _let_245 _let_244 _let_242 (REFL :args ((not _let_214))) _let_240 _let_238 (REFL :args ((not _let_211))) (REFL :args ((not _let_215))) :args _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_193 _let_212 _let_225 _let_214 (not _let_226)))) _let_205 _let_224 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_236 _let_221) (SCOPE (TRANS (SYMM _let_222) (CONG (SYMM _let_236) :args _let_165)) :args (_let_225 _let_207))) _let_202 _let_234) :args (_let_228 _let_225 _let_195 _let_207)) (SCOPE (CONTRA _let_235 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_233) _let_203 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_231)) :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 _let_198) 0))) :args (1.0 (- 1.0) 1.0)) :args _let_170) :args _let_233) :args (_let_64)) :args ((not _let_232)))) :args (_let_231 _let_195 _let_228)) :args ((not (and _let_228 _let_225 _let_195 _let_207)) SB_LITERAL))) (CONG _let_230 (REFL :args (_let_227)) (REFL :args ((not _let_195))) (REFL :args (_let_219)) :args _let_100)) _let_218 _let_196 _let_229 :args (_let_227 false _let_207 false _let_195 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.int tptp.int _let_21 _let_18 _let_13 _let_16 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_148)) _let_147 :args (_let_226 false _let_146)) :args (_let_214 false _let_192 false _let_209 true _let_225 false _let_226)) _let_206 _let_177 _let_108 _let_107 _let_103 (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_212 _let_144 _let_208 _let_211 (not _let_213)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.int tptp.int _let_15 _let_14 _let_13 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_148)) _let_147 :args (_let_213 false _let_146)) _let_224 _let_175 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_220)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_221 _let_223 _let_167) (SCOPE (TRANS _let_168 (CONG (SYMM (SYMM _let_223)) :args _let_165) _let_222) :args (_let_207 _let_208 _let_151))) :args (_let_151 _let_208 _let_207))) :args (true _let_220)) :args ((or _let_48 (not _let_151) (not _let_208) _let_219))) _let_218 _let_158 :args (_let_48 true _let_64 false _let_216 false _let_217 false _let_178 false _let_58 true _let_61 true _let_215 false _let_214 false _let_46 false _let_42 false _let_29 false _let_28 true _let_27 false _let_211 false _let_213 false _let_209 false _let_143 true _let_208 false _let_207 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.int _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_105 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_47 false _let_7)) _let_206 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_59 _let_45 _let_179 (not _let_180)))) _let_190 _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_185) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 _let_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.le1 _let_26 (tptp.tb2t (tptp.get tptp.int tptp.int _let_15 (tptp.t2tb I1))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_15 (tptp.t2tb I2)))) true))))) :args _let_185))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_182)) :args ((or _let_81 _let_181 (not _let_182)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 12)) (CONG _let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_100)) :args ((or _let_80 _let_95))) _let_102 :args (_let_80 true _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sorted_sub1 A Data L U)))) :args (_let_183)))) _let_184 :args (_let_182 false _let_183)) :args (_let_181 false _let_80 false _let_182)) :args (_let_180 false _let_181)) :args (_let_45 false _let_58 false _let_178 false _let_180)) _let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 4)) :args ((or _let_40 (not _let_130)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_132)) :args ((or (not _let_131) _let_130 (not _let_132)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_135 1)) :args ((or _let_131 (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_136)) :args ((or _let_66 _let_135 (not _let_136)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 22)) (CONG _let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_100)) :args ((or _let_65 _let_95))) _let_102 :args (_let_65 true _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.int _let_30 _let_33 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.exchange3 A A1 A2 I J)))) :args _let_137)) _let_138 :args (_let_136 false _let_3)) :args (_let_135 false _let_65 false _let_136)) :args (_let_131 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.int _let_31 _let_34 0 _let_128 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.exchange2 A A1 A2 L U I J)))) :args (_let_133)))) _let_134 :args (_let_132 false _let_133)) :args (_let_130 false _let_131 false _let_132)) :args (_let_40 false _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.int _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_101 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_39 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.tb2t J)))) :args (_let_123))) _let_124 :args (_let_37 false _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_121 _let_35 (not _let_122)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_120 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_122 false _let_113)) :args (_let_35 false _let_120 false _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_32 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_110 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_112 false _let_113)) :args (_let_32 false _let_110 false _let_112)) _let_108 _let_107 _let_103 :args (false false _let_48 false _let_47 false _let_46 false _let_45 false _let_42 false _let_40 false _let_39 false _let_37 false _let_35 false _let_32 false _let_29 false _let_28 true _let_27)) :args ((forall ((A tptp.ty)) (tptp.sort1 A (tptp.witness1 A))) (forall ((A tptp.ty) (X tptp.bool1) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A (tptp.match_bool1 A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z) (= (tptp.match_bool1 A tptp.true1 Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z1) (= (tptp.match_bool1 A tptp.false1 Z Z1) Z1))) (not (= tptp.true1 tptp.false1)) (forall ((U tptp.bool1)) (or (= U tptp.true1) (= U tptp.false1))) (forall ((U tptp.tuple02)) (= U tptp.tuple03)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.ref A) (tptp.mk_ref A X))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.contents A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.contents A (tptp.mk_ref A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 (tptp.ref A) U) (= U (tptp.mk_ref A (tptp.contents A U))))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 B (tptp.get B A X X1))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 (tptp.map A B) (tptp.set B A X X1 X2))) (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni) (B1 tptp.uni)) (=> (tptp.sort1 B B1) (=> (= A1 A2) (= (tptp.get B A (tptp.set B A M A1 B1) A2) B1)))) _let_12 (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map A B) (tptp.const B A X))) (forall ((A tptp.ty) (B tptp.ty) (B1 tptp.uni) (A1 tptp.uni)) (=> (tptp.sort1 B B1) (= (tptp.get B A (tptp.const B A B1) A1) B1))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.mk_array1 A X X1))) (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length1 A (tptp.mk_array1 A U U1)) U)) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.map tptp.int A) (tptp.elts A X))) _let_11 (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array1 A (tptp.length1 A U) (tptp.elts A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort1 A (tptp.get2 A X X1))) _let_10 _let_9 _let_8 _let_7 (forall ((A tptp.ty) (X tptp.uni) (X1 Int) (X2 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.set2 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.uni) (I Int) (V tptp.uni)) (= (tptp.set2 A A1 I V) (tptp.mk_array1 A (tptp.length1 A A1) (tptp.set A tptp.int (tptp.elts A A1) (tptp.t2tb I) V)))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.make1 A X X1))) (forall ((A tptp.ty) (N Int) (V tptp.uni)) (= (tptp.make1 A N V) (tptp.mk_array1 A N (tptp.const A tptp.int V)))) (forall ((X tptp.array_int)) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb1 X))) (forall ((I tptp.array_int)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)) (forall ((A tptp.array_int) (X Int) (Y Int) (L Int)) (let ((_let_1 (tptp.length1 tptp.int (tptp.t2tb1 A)))) (= (tptp.is_common_prefix1 A X Y L) (and (<= 0 L) (<= (+ X L) _let_1) (<= (+ Y L) _let_1) (forall ((I Int)) (let ((_let_1 (tptp.t2tb1 A))) (=> (and (<= 0 I) (< I L)) (= (tptp.tb2t (tptp.get2 tptp.int _let_1 (+ X I))) (tptp.tb2t (tptp.get2 tptp.int _let_1 (+ Y I))))))))))) (forall ((A tptp.array_int) (X Int) (Y Int) (L Int)) (let ((_let_1 (+ Y L))) (let ((_let_2 (tptp.t2tb1 A))) (let ((_let_3 (+ X L))) (let ((_let_4 (tptp.length1 tptp.int _let_2))) (=> (and (<= 0 L) (< _let_3 _let_4) (< _let_1 _let_4) (not (= (tptp.tb2t (tptp.get2 tptp.int _let_2 _let_3)) (tptp.tb2t (tptp.get2 tptp.int _let_2 _let_1))))) (not (tptp.is_common_prefix1 A X Y (+ L 1))))))))) (forall ((A tptp.array_int) (X Int) (Y Int) (L Int)) (= (tptp.is_longest_common_prefix1 A X Y L) (and (tptp.is_common_prefix1 A X Y L) (forall ((M Int)) (=> (< L M) (not (tptp.is_common_prefix1 A X Y M))))))) (forall ((A tptp.array_int) (X Int) (Y Int) (L Int)) (=> (and (tptp.is_common_prefix1 A X Y L) (not (tptp.is_common_prefix1 A X Y (+ L 1)))) (tptp.is_longest_common_prefix1 A X Y L))) (forall ((A tptp.array_int) (X Int) (Y Int)) (let ((_let_1 (tptp.length1 tptp.int (tptp.t2tb1 A)))) (= (tptp.lt1 A X Y) (and (<= 0 X) (<= X _let_1) (<= 0 Y) (<= Y _let_1) (exists ((L Int)) (let ((_let_1 (+ Y L))) (let ((_let_2 (tptp.t2tb1 A))) (let ((_let_3 (+ X L))) (let ((_let_4 (tptp.length1 tptp.int _let_2))) (and (tptp.is_common_prefix1 A X Y L) (< _let_1 _let_4) (or (= _let_3 _let_4) (< (tptp.tb2t (tptp.get2 tptp.int _let_2 _let_3)) (tptp.tb2t (tptp.get2 tptp.int _let_2 _let_1)))))))))))))) _let_6 (forall ((I tptp.map_int_int)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)) _let_5 (forall ((A tptp.map_int_int) (N Int)) (= (tptp.injective1 A N) (forall ((I Int) (J Int)) (let ((_let_1 (tptp.t2tb2 A))) (=> (and (<= 0 I) (< I N)) (=> (and (<= 0 J) (< J N)) (=> (not (= I J)) (not (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb I))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb J)))))))))))) (forall ((A tptp.map_int_int) (N Int)) (= (tptp.surjective1 A N) (forall ((I Int)) (=> (and (<= 0 I) (< I N)) (exists ((J Int)) (and (<= 0 J) (< J N) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb2 A) (tptp.t2tb J))) I))))))) (forall ((A tptp.map_int_int) (N Int)) (= (tptp.range2 A N) (forall ((I Int)) (let ((_let_1 (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb2 A) (tptp.t2tb I))))) (=> (and (<= 0 I) (< I N)) (and (<= 0 _let_1) (< _let_1 N))))))) (forall ((A tptp.map_int_int) (N Int)) (=> (tptp.injective1 A N) (=> (tptp.range2 A N) (tptp.surjective1 A N)))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (<= U L) (= (tptp.occ1 A V M L U) 0))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (- U 1))) (=> (tptp.sort1 A V) (=> (< L U) (=> (not (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V)) (= (tptp.occ1 A V M L U) (tptp.occ1 A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (- U 1))) (=> (< L U) (=> (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V) (= (tptp.occ1 A V M L U) (+ 1 (tptp.occ1 A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.occ1 A V M L U))) (=> (<= L U) (and (<= 0 _let_1) (<= _let_1 (- U L)))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (Mid Int) (U Int)) (=> (and (<= L Mid) (<= Mid U)) (= (tptp.occ1 A V M L U) (+ (tptp.occ1 A V M L Mid) (tptp.occ1 A V M Mid U))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort1 A V) (=> (forall ((I Int)) (=> (and (<= L I) (< I U)) (not (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))) (= (tptp.occ1 A V M L U) 0)))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort1 A V) (=> (< 0 (tptp.occ1 A V M L U)) (exists ((I Int)) (and (<= L I) (< I U) (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))))) (forall ((A tptp.ty) (M tptp.uni) (L Int) (U Int) (I Int)) (=> (and (<= L I) (< I U)) (< 0 (tptp.occ1 A (tptp.get A tptp.int M (tptp.t2tb I)) M L U)))) (forall ((A tptp.ty) (V tptp.uni) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (=> (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (=> (and (<= L I) (< I U)) (= (tptp.get A tptp.int M1 _let_1) (tptp.get A tptp.int M2 _let_1))))) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) (forall ((M tptp.map_int_int) (N Int)) (= (tptp.injective1 M N) (forall ((V Int)) (<= (tptp.occ1 tptp.int (tptp.t2tb V) (tptp.t2tb2 M) 0 N) 1)))) (forall ((A tptp.array_int)) (let ((_let_1 (tptp.t2tb1 A))) (= (tptp.range3 A) (tptp.range2 (tptp.tb2t2 (tptp.elts tptp.int _let_1)) (tptp.length1 tptp.int _let_1))))) (forall ((A tptp.ty) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.permut2 A M1 M2 L U))) (and (=> _let_1 (forall ((V tptp.uni)) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) (=> (forall ((V tptp.uni)) (=> (tptp.sort1 A V) (= (tptp.occ1 A V M1 L U) (tptp.occ1 A V M2 L U)))) _let_1)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (A3 tptp.uni) (L Int) (U Int)) (=> (tptp.permut2 A A1 A2 L U) (=> (tptp.permut2 A A2 A3 L U) (tptp.permut2 A A1 A3 L U)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int)) (=> (tptp.permut2 A A1 A2 L U) (=> (and (<= L I) (< I U)) (exists ((J Int)) (and (<= L J) (< J U) (= (tptp.get A tptp.int A1 (tptp.t2tb J)) (tptp.get A tptp.int A2 (tptp.t2tb I)))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (= (tptp.map_eq_sub1 A A1 A2 L U) (forall ((I Int)) (let ((_let_1 (tptp.t2tb I))) (=> (and (<= L I) (< I U)) (= (tptp.get A tptp.int A1 _let_1) (tptp.get A tptp.int A2 _let_1))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.array_eq_sub1 A A1 A2 L U) (and (= _let_1 (tptp.length1 A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.map_eq_sub1 A (tptp.elts A A1) (tptp.elts A A2) L U))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.array_eq A A1 A2) (and (= _let_1 (tptp.length1 A A2)) (tptp.map_eq_sub1 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1))))) _let_4 (forall ((A tptp.ty) (A1 tptp.uni) (L Int) (U Int) (I Int) (J Int)) (let ((_let_1 (tptp.t2tb I))) (let ((_let_2 (tptp.t2tb J))) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (tptp.exchange2 A A1 (tptp.set A tptp.int (tptp.set A tptp.int A1 _let_1 (tptp.get A tptp.int A1 _let_2)) _let_2 (tptp.get A tptp.int A1 _let_1)) L U I J)))))) _let_3 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.permut3 A A1 A2 L U) (and (= _let_1 (tptp.length1 A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.permut2 A (tptp.elts A A1) (tptp.elts A A2) L U))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.elts A A2))) (let ((_let_2 (tptp.elts A A1))) (= (tptp.permut_sub1 A A1 A2 L U) (and (tptp.map_eq_sub1 A _let_2 _let_1 0 L) (tptp.permut3 A A1 A2 L U) (tptp.map_eq_sub1 A _let_2 _let_1 U (tptp.length1 A A1))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length1 A A1))) (= (tptp.permut_all A A1 A2) (and (= _let_1 (tptp.length1 A A2)) (tptp.permut2 A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int) (L Int) (U Int)) (=> (tptp.exchange3 A A1 A2 I J) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (=> (<= 0 L) (=> (<= U (tptp.length1 A A1)) (tptp.permut_sub1 A A1 A2 L U))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L1 Int) (U1 Int) (L2 Int) (U2 Int)) (=> (tptp.permut_sub1 A A1 A2 L1 U1) (=> (and (<= 0 L2) (<= L2 L1)) (=> (and (<= U1 U2) (<= U2 (tptp.length1 A A1))) (tptp.permut_sub1 A A1 A2 L2 U2))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (=> (tptp.exchange3 A A1 A2 I J) (tptp.permut_all A A1 A2))) (forall ((A tptp.array_int) (X Int) (Y Int)) (= (tptp.le1 A X Y) (or (= X Y) (tptp.lt1 A X Y)))) (forall ((A tptp.array_int) (X Int)) (let ((_let_1 (tptp.length1 tptp.int (tptp.t2tb1 A)))) (=> (and (<= 0 X) (<= X _let_1)) (tptp.is_longest_common_prefix1 A X X (- _let_1 X))))) (forall ((A tptp.array_int) (X Int) (Y Int) (Z Int)) (=> (and (tptp.le1 A X Y) (tptp.le1 A Y Z)) (tptp.le1 A X Z))) _let_2 (forall ((A tptp.array_int) (Data tptp.array_int)) (let ((_let_1 (tptp.t2tb1 Data))) (= (tptp.sorted1 A Data) (tptp.sorted_sub1 A (tptp.tb2t2 (tptp.elts tptp.int _let_1)) 0 (tptp.length1 tptp.int _let_1))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 59.13/59.40 )
% 59.13/59.40 % SZS output end Proof for SWW660_2
% 59.13/59.40 % cvc5---1.0.5 exiting
% 59.13/59.40 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------