TSTP Solution File: SWW606_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW606_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 00:21:40 EDT 2023
% Result : Theorem 15.64s 16.27s
% Output : Proof 15.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWW606_2 : TPTP v8.1.2. Released v6.1.0.
% 0.15/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun Aug 27 17:23:27 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.23/0.51 %----Proving TF0_ARI
% 15.64/16.27 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.D2wBNztKsL/cvc5---1.0.5_16844.p...
% 15.64/16.27 ------- get file name : TPTP file name is SWW606_2
% 15.64/16.27 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16844.smt2...
% 15.64/16.27 --- Run --finite-model-find --decision=internal at 15...
% 15.64/16.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.64/16.27 % SZS status Theorem for SWW606_2
% 15.64/16.27 % SZS output start Proof for SWW606_2
% 15.64/16.27 (
% 15.64/16.27 (let ((_let_1 (not (forall ((P tptp.param) (A Int) (A1 tptp.map_int_elt)) (=> (<= 0 A) (=> (<= 0 (- A 1)) (forall ((A2 tptp.map_int_elt) (I Int)) (let ((_let_1 (tptp.mk_array tptp.elt1 A (tptp.t2tb5 A2)))) (=> (and (<= 0 I) (<= I (- A 1))) (=> (and (tptp.permut_all tptp.elt1 (tptp.mk_array tptp.elt1 A (tptp.t2tb5 A1)) _let_1) (tptp.sorted_sub2 P (tptp.tb2t3 _let_1) 0 I)) (forall ((J Int) (A3 tptp.map_int_elt)) (let ((_let_1 (< J A))) (let ((_let_2 (<= 0 J))) (let ((_let_3 (and _let_2 _let_1))) (let ((_let_4 (- J 1))) (let ((_let_5 (and (<= 0 _let_4) (< _let_4 A)))) (let ((_let_6 (tptp.t2tb5 A3))) (let ((_let_7 (tptp.mk_array tptp.elt1 A _let_6))) (let ((_let_8 (tptp.tb2t3 _let_7))) (=> (and _let_2 (<= J I) (tptp.permut_all tptp.elt1 (tptp.mk_array tptp.elt1 A (tptp.t2tb5 A1)) _let_7) (tptp.sorted_sub2 P _let_8 0 J) (tptp.sorted_sub2 P _let_8 J (+ I 1)) (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb5 A3))) (=> (and (<= 0 K1) (< K1 J) (<= (+ J 1) K2) (<= K2 I)) (tptp.le P (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int _let_1 (tptp.t2tb K2)))))))) (=> (< 0 J) (=> (and (<= 0 A) _let_2 _let_1) (=> _let_5 (=> (not (tptp.le P (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int _let_6 (tptp.t2tb _let_4))) (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int _let_6 (tptp.t2tb J))))) (=> _let_3 (=> _let_5 (=> _let_3 (forall ((A4 tptp.map_int_elt)) (let ((_let_1 (- J 1))) (let ((_let_2 (tptp.t2tb5 A3))) (=> (and (<= 0 A) (= A4 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int _let_2 (tptp.t2tb J) (tptp.get tptp.elt1 tptp.int _let_2 (tptp.t2tb _let_1)))))) (=> (and (<= 0 _let_1) (< _let_1 A)) (forall ((A5 tptp.map_int_elt)) (let ((_let_1 (- J 1))) (let ((_let_2 (tptp.t2tb5 A3))) (=> (and (<= 0 A) (= A5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int (tptp.t2tb5 A4) (tptp.t2tb _let_1) (tptp.get tptp.elt1 tptp.int _let_2 (tptp.t2tb J)))))) (=> (tptp.exchange1 tptp.elt1 (tptp.mk_array tptp.elt1 A _let_2) (tptp.mk_array tptp.elt1 A (tptp.t2tb5 A5)) _let_1 J) (forall ((J1 Int)) (=> (= J1 (- J 1)) (tptp.sorted_sub2 P (tptp.tb2t3 (tptp.mk_array tptp.elt1 A (tptp.t2tb5 A5))) J1 (+ I 1))))))))))))))))))))))))))))))))))))))))) (let ((_let_2 (forall ((J tptp.uni)) (=> (tptp.sort (tptp.map tptp.int tptp.elt1) J) (= (tptp.t2tb5 (tptp.tb2t5 J)) J))))) (let ((_let_3 (forall ((X tptp.map_int_elt)) (tptp.sort (tptp.map tptp.int tptp.elt1) (tptp.t2tb5 X))))) (let ((_let_4 (forall ((P tptp.param) (A tptp.array_elt) (L Int) (U Int)) (= (tptp.sorted_sub2 P A L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb3 A))) (=> (and (<= L I1) (<= I1 I2) (< I2 U)) (tptp.le P (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_1 I1)) (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_1 I2)))))))))) (let ((_let_5 (forall ((J tptp.uni)) (= (tptp.t2tb3 (tptp.tb2t3 J)) J)))) (let ((_let_6 (forall ((P tptp.param) (X tptp.elt) (Y tptp.elt) (Z tptp.elt)) (=> (and (tptp.le P X Y) (tptp.le P Y Z)) (tptp.le P X Z))))) (let ((_let_7 (forall ((P tptp.param) (X tptp.elt) (Y tptp.elt)) (=> (not (tptp.le P X Y)) (tptp.le P Y X))))) (let ((_let_8 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (let ((_let_1 (tptp.length A A1))) (= (tptp.exchange1 A A1 A2 I J) (and (= _let_1 (tptp.length A A2)) (tptp.exchange A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1 I J))))))) (let ((_let_9 (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.exchange 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_10 (forall ((A tptp.ty) (A1 tptp.uni) (I Int)) (= (tptp.get1 A A1 I) (tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb I)))))) (let ((_let_11 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (=> (tptp.sort (tptp.map tptp.int A) U1) (= (tptp.elts A (tptp.mk_array A U U1)) U1))))) (let ((_let_12 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length A (tptp.mk_array A U U1)) U)))) (let ((_let_13 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni) (B1 tptp.uni)) (=> (tptp.sort B B1) (=> (= A1 A2) (= (tptp.get B A (tptp.set B A M A1 B1) A2) B1)))))) (let ((_let_14 (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort (tptp.map A B) (tptp.set B A X X1 X2))))) (let ((_let_15 (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort B (tptp.get B A X X1))))) (let ((_let_16 (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (tptp.mk_array tptp.elt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_16))) (let ((_let_18 (tptp.tb2t3 _let_17))) (let ((_let_19 (tptp.t2tb3 _let_18))) (let ((_let_20 (= _let_17 _let_19))) (let ((_let_21 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_22 (tptp.get tptp.elt1 tptp.int _let_16 _let_21))) (let ((_let_23 (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_24 (tptp.t2tb _let_23))) (let ((_let_25 (tptp.get tptp.elt1 tptp.int _let_16 _let_24))) (let ((_let_26 (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int _let_16 _let_21 _let_25))))) (let ((_let_27 (tptp.set tptp.elt1 tptp.int _let_26 _let_24 _let_22))) (let ((_let_28 (tptp.tb2t5 _let_27))) (let ((_let_29 (tptp.t2tb5 _let_28))) (let ((_let_30 (tptp.mk_array tptp.elt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_29))) (let ((_let_31 (tptp.tb2t3 _let_30))) (let ((_let_32 (tptp.t2tb3 _let_31))) (let ((_let_33 (= _let_30 _let_32))) (let ((_let_34 (tptp.get1 tptp.elt1 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97))) (let ((_let_35 (tptp.tb2t4 _let_34))) (let ((_let_36 (tptp.get1 tptp.elt1 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96))) (let ((_let_37 (tptp.tb2t4 _let_36))) (let ((_let_38 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_37 _let_35))) (let ((_let_39 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97))) (let ((_let_40 (tptp.elts tptp.elt1 _let_32))) (let ((_let_41 (= _let_34 (tptp.get tptp.elt1 tptp.int _let_40 _let_39)))) (let ((_let_42 (tptp.elts tptp.elt1 _let_17))) (let ((_let_43 (tptp.get tptp.elt1 tptp.int _let_42 _let_39))) (let ((_let_44 (= _let_43 (tptp.get1 tptp.elt1 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97)))) (let ((_let_45 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96))) (let ((_let_46 (= _let_36 (tptp.get tptp.elt1 tptp.int _let_40 _let_45)))) (let ((_let_47 (tptp.elts tptp.elt1 _let_30))) (let ((_let_48 (= _let_43 (tptp.get tptp.elt1 tptp.int _let_47 _let_39)))) (let ((_let_49 (tptp.get tptp.elt1 tptp.int _let_42 _let_45))) (let ((_let_50 (= (tptp.get1 tptp.elt1 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96) _let_49))) (let ((_let_51 (= _let_49 (tptp.get tptp.elt1 tptp.int _let_47 _let_45)))) (let ((_let_52 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96)) (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97))))) (let ((_let_53 (forall ((J tptp.uni)) (= J (tptp.t2tb3 (tptp.tb2t3 J)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((tptp.tb2t3 J)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_33 false _let_53)))) (let ((_let_58 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97))) (let ((_let_59 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_58) 0))) (let ((_let_60 (not _let_59))) (let ((_let_61 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96 _let_58))) (let ((_let_62 (>= _let_61 1))) (let ((_let_63 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96)))) (let ((_let_64 (>= _let_63 2))) (let ((_let_65 (or _let_64 _let_62 _let_60 _let_38))) (let ((_let_66 (not _let_38))) (let ((_let_67 (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_2 (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_3 (tptp.t2tb (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_4 (tptp.t2tb3 (tptp.tb2t3 (tptp.mk_array tptp.elt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int _let_2 _let_1 (tptp.get tptp.elt1 tptp.int _let_2 _let_3)))) _let_3 (tptp.get tptp.elt1 tptp.int _let_2 _let_1))))))))) (or (not (>= (+ I1 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (- 1))) (>= (+ I1 (* (- 1) I2)) 1) (>= (+ I2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) 1) (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_4 I1)) (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_4 I2))))))))))) (let ((_let_68 (not _let_65))) (let ((_let_69 (+ 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_70 (tptp.sorted_sub2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31 _let_23 _let_69))) (let ((_let_71 (= _let_70 _let_67))) (let ((_let_72 (not _let_67))) (let ((_let_73 (forall ((P tptp.param) (A tptp.array_elt) (L Int) (U Int)) (= (tptp.sorted_sub2 P A L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb3 A))) (let ((_let_2 (* (- 1) I2))) (or (>= (+ L (* (- 1) I1)) 1) (>= (+ I1 _let_2) 1) (not (>= (+ U _let_2) 1)) (tptp.le P (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_1 I1)) (tptp.tb2t4 (tptp.get1 tptp.elt1 _let_1 I2))))))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.sorted_sub2 P A L U)))) (let ((_let_77 (tptp.exchange1 tptp.elt1 _let_17 _let_30 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.tb2t4 _let_22))) (let ((_let_80 (tptp.tb2t4 _let_25))) (let ((_let_81 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_80 _let_79))) (let ((_let_82 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_83 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_82))) (let ((_let_84 (not (>= _let_83 0)))) (let ((_let_85 (not (>= _let_83 1)))) (let ((_let_86 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 1))) (let ((_let_87 (not _let_86))) (let ((_let_88 (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (or (not (>= K1 0)) (>= (+ K1 _let_2) 0) (not (>= (+ K2 _let_2) 1)) (>= (+ K2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) 1) (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int _let_1 (tptp.t2tb K2)))))))))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.sorted_sub2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_69))) (let ((_let_91 (not _let_90))) (let ((_let_92 (not (tptp.sorted_sub2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_93 (tptp.mk_array tptp.elt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_94 (not (tptp.permut_all tptp.elt1 _let_93 _let_17)))) (let ((_let_95 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_96 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 0))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.mk_array tptp.elt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_99 (not (tptp.sorted_sub2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.tb2t3 _let_98) 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_100 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_95) 1))) (let ((_let_101 (not _let_100))) (let ((_let_102 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 0)))) (let ((_let_103 (not (tptp.permut_all tptp.elt1 _let_93 _let_98)))) (let ((_let_104 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 1)))) (let ((_let_105 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0)))) (let ((_let_106 (or _let_105 _let_104 _let_103 _let_102 _let_101 _let_99 _let_97 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_95) 1) _let_94 _let_92 _let_91 _let_89 _let_87 _let_85 _let_84 _let_81 _let_78 _let_70))) (let ((_let_107 (forall ((P tptp.param) (A Int) (A1 tptp.map_int_elt) (BOUND_VARIABLE_2689 Int) (BOUND_VARIABLE_2687 tptp.map_int_elt) (BOUND_VARIABLE_2685 Int) (BOUND_VARIABLE_2683 tptp.map_int_elt)) (let ((_let_1 (+ 1 BOUND_VARIABLE_2685))) (let ((_let_2 (+ (- 1) BOUND_VARIABLE_2689))) (let ((_let_3 (tptp.t2tb BOUND_VARIABLE_2689))) (let ((_let_4 (tptp.t2tb5 BOUND_VARIABLE_2687))) (let ((_let_5 (tptp.get tptp.elt1 tptp.int _let_4 _let_3))) (let ((_let_6 (tptp.t2tb _let_2))) (let ((_let_7 (tptp.get tptp.elt1 tptp.int _let_4 _let_6))) (let ((_let_8 (tptp.mk_array tptp.elt1 A (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int (tptp.t2tb5 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (+ 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97)))) (let ((_let_125 (tptp.length tptp.elt1 _let_17))) (let ((_let_126 (* (- 1) _let_125))) (let ((_let_127 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 _let_126))) (let ((_let_128 (>= _let_127 0))) (let ((_let_129 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 0))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128 _let_124 _let_123 _let_48))) (let ((_let_132 (forall ((K Int)) (let ((_let_1 (tptp.t2tb K))) (let ((_let_2 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_3 (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_4 (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_5 (tptp.t2tb _let_4))) (let ((_let_6 (tptp.mk_array tptp.elt1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_3))) (or (not (>= K 0)) (>= (+ K (* (- 1) (tptp.length tptp.elt1 _let_6))) 0) (= K _let_4) (= K SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (= (tptp.get tptp.elt1 tptp.int (tptp.elts tptp.elt1 _let_6) _let_1) 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(MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.elt1 _let_42 _let_47 0 _let_125 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.exchange A A1 A2 L U I J)))) :args (_let_140)))) _let_141 :args (_let_139 false _let_140)) :args (_let_137 false _let_138 false _let_139)))) (let ((_let_148 (not _let_137))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_137 6)) :args ((or _let_132 _let_148))) _let_147 :args (_let_132 false _let_137)))) (let ((_let_150 (_let_132))) (let ((_let_151 ((tptp.t2tb K)))) (let ((_let_152 (ASSUME :args _let_150))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_152 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_97 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150))) _let_149 :args (_let_131 false _let_132)))) (let ((_let_154 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_58))) (let ((_let_155 (>= _let_154 0))) (let ((_let_156 (not 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tptp.tuple0)) (= U tptp.tuple02)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort (tptp.ref A) (tptp.mk_ref A X))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort A (tptp.contents A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort A U) (= (tptp.contents A (tptp.mk_ref A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort (tptp.ref A) U) (= U (tptp.mk_ref A (tptp.contents A U))))) _let_15 _let_14 _let_13 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni)) (=> (tptp.sort A A1) (=> (tptp.sort 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))))))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni)) (tptp.sort (tptp.map A B) (tptp.const B A X))) (forall ((A tptp.ty) (B tptp.ty) (B1 tptp.uni) (A1 tptp.uni)) (=> (tptp.sort B B1) (= (tptp.get B A (tptp.const B A B1) A1) B1))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort (tptp.array A) (tptp.mk_array A X X1))) _let_12 (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort (tptp.map tptp.int A) (tptp.elts A X))) _let_11 (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array A (tptp.length A U) (tptp.elts A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort A (tptp.get1 A X X1))) (forall ((X Int)) (tptp.sort tptp.int (tptp.t2tb X))) (forall ((I Int)) (= (tptp.tb2t (tptp.t2tb I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)) _let_10 (forall ((A tptp.ty) (X tptp.uni) (X1 Int) (X2 tptp.uni)) (tptp.sort (tptp.array A) (tptp.set1 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.uni) (I Int) (V tptp.uni)) (= (tptp.set1 A A1 I V) (tptp.mk_array A (tptp.length 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.sort (tptp.array A) (tptp.make A X X1))) (forall ((A tptp.ty) (N Int) (V tptp.uni)) (= (tptp.make A N V) (tptp.mk_array A N (tptp.const A tptp.int V)))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (<= U L) (= (tptp.occ 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.sort A V) (=> (< L U) (=> (not (= (tptp.get A tptp.int M (tptp.t2tb _let_1)) V)) (= (tptp.occ A V M L U) (tptp.occ 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.occ A V M L U) (+ 1 (tptp.occ A V M L _let_1))))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.occ 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.occ A V M L U) (+ (tptp.occ A V M L Mid) (tptp.occ A V M Mid U))))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort A V) (=> (forall ((I Int)) (=> (and (<= L I) (< I U)) (not (= (tptp.get A tptp.int M (tptp.t2tb I)) V)))) (= (tptp.occ A V M L U) 0)))) (forall ((A tptp.ty) (V tptp.uni) (M tptp.uni) (L Int) (U Int)) (=> (tptp.sort A V) (=> (< 0 (tptp.occ 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.occ 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.occ A V M1 L U) (tptp.occ A V M2 L U)))) (forall ((A tptp.ty) (M1 tptp.uni) (M2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.permut A M1 M2 L U))) (and (=> _let_1 (forall ((V tptp.uni)) (= (tptp.occ A V M1 L U) (tptp.occ A V M2 L U)))) (=> (forall ((V tptp.uni)) (=> (tptp.sort A V) (= (tptp.occ A V M1 L U) (tptp.occ 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.permut A A1 A2 L U) (=> (tptp.permut A A2 A3 L U) (tptp.permut A A1 A3 L U)))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int) (I Int)) (=> (tptp.permut 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_sub 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.length A A1))) (= (tptp.array_eq_sub A A1 A2 L U) (and (= _let_1 (tptp.length A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.map_eq_sub 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.length A A1))) (= (tptp.array_eq A A1 A2) (and (= _let_1 (tptp.length A A2)) (tptp.map_eq_sub A (tptp.elts A A1) (tptp.elts A A2) 0 _let_1))))) _let_9 (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.exchange 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_8 (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (L Int) (U Int)) (let ((_let_1 (tptp.length A A1))) (= (tptp.permut1 A A1 A2 L U) (and (= _let_1 (tptp.length A A2)) (<= 0 L) (<= L _let_1) (<= 0 U) (<= U _let_1) (tptp.permut 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_sub A A1 A2 L U) (and (tptp.map_eq_sub A _let_2 _let_1 0 L) (tptp.permut1 A A1 A2 L U) (tptp.map_eq_sub A _let_2 _let_1 U (tptp.length A A1))))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni)) (let ((_let_1 (tptp.length A A1))) (= (tptp.permut_all A A1 A2) (and (= _let_1 (tptp.length A A2)) (tptp.permut 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.exchange1 A A1 A2 I J) (=> (and (<= L I) (< I U)) (=> (and (<= L J) (< J U)) (=> (<= 0 L) (=> (<= U (tptp.length A A1)) (tptp.permut_sub 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_sub A A1 A2 L1 U1) (=> (and (<= 0 L2) (<= L2 L1)) (=> (and (<= U1 U2) (<= U2 (tptp.length A A1))) (tptp.permut_sub A A1 A2 L2 U2))))) (forall ((A tptp.ty) (A1 tptp.uni) (A2 tptp.uni) (I Int) (J Int)) (=> (tptp.exchange1 A A1 A2 I J) (tptp.permut_all A A1 A2))) (forall ((P tptp.param) (X tptp.elt)) (tptp.le P X X)) _let_7 _let_6 (forall ((X tptp.array_elt)) (tptp.sort (tptp.array tptp.elt1) (tptp.t2tb3 X))) (forall ((I tptp.array_elt)) (= (tptp.tb2t3 (tptp.t2tb3 I)) I)) _let_5 (forall ((X tptp.elt)) (tptp.sort tptp.elt1 (tptp.t2tb4 X))) (forall ((I tptp.elt)) (= (tptp.tb2t4 (tptp.t2tb4 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort tptp.elt1 J) (= (tptp.t2tb4 (tptp.tb2t4 J)) J))) _let_4 (forall ((P tptp.param) (A tptp.array_elt)) (= (tptp.sorted1 P A) (tptp.sorted_sub2 P A 0 (tptp.length tptp.elt1 (tptp.t2tb3 A))))) _let_3 (forall ((I tptp.map_int_elt)) (= (tptp.tb2t5 (tptp.t2tb5 I)) I)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.64/16.27 )
% 15.64/16.27 % SZS output end Proof for SWW606_2
% 15.64/16.27 % cvc5---1.0.5 exiting
% 15.64/16.27 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------