TSTP Solution File: SWW607_2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW607_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 00:21:41 EDT 2023
% Result : Theorem 15.59s 15.92s
% Output : Proof 15.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW607_2 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 22:08:41 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_ARI
% 15.59/15.92 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HZYijH461d/cvc5---1.0.5_18650.p...
% 15.59/15.92 ------- get file name : TPTP file name is SWW607_2
% 15.59/15.92 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18650.smt2...
% 15.59/15.92 --- Run --finite-model-find --decision=internal at 15...
% 15.59/15.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.59/15.92 % SZS status Theorem for SWW607_2
% 15.59/15.92 % SZS output start Proof for SWW607_2
% 15.59/15.92 (
% 15.59/15.92 (let ((_let_1 (not (forall ((A Int) (A1 tptp.map_int_elt)) (=> (<= 0 A) (=> (<= 1 (- A 1)) (forall ((A2 tptp.map_int_elt) (I Int)) (=> (and (<= 1 I) (<= I (- A 1))) (=> (and (tptp.sorted_sub6 A2 0 I) (tptp.permut_all tptp.elt (tptp.mk_array1 tptp.elt A (tptp.t2tb3 A1)) (tptp.mk_array1 tptp.elt A (tptp.t2tb3 A2)))) (=> (and (<= 0 A) (<= 0 I) (< I A)) (forall ((J Int) (A3 tptp.map_int_elt)) (let ((_let_1 (<= 0 J))) (let ((_let_2 (- J 1))) (let ((_let_3 (< _let_2 A))) (let ((_let_4 (<= 0 _let_2))) (let ((_let_5 (tptp.get tptp.elt tptp.int (tptp.t2tb3 A2) (tptp.t2tb I)))) (let ((_let_6 (tptp.t2tb3 A3))) (=> (and _let_1 (<= J I) (tptp.permut_all tptp.elt (tptp.mk_array1 tptp.elt A (tptp.t2tb3 A1)) (tptp.mk_array1 tptp.elt A (tptp.set tptp.elt tptp.int _let_6 (tptp.t2tb J) _let_5))) (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb3 A3))) (=> (and (<= 0 K1) (<= K1 K2) (<= K2 I)) (=> (not (= K1 J)) (=> (not (= K2 J)) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb K2))))))))) (forall ((K Int)) (=> (and (<= (+ J 1) K) (<= K I)) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 A2) (tptp.t2tb I))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 A3) (tptp.t2tb K))))))) (=> (< 0 J) (=> (and (<= 0 A) _let_4 _let_3) (=> (not (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_6 (tptp.t2tb _let_2))) (tptp.tb2t4 _let_5))) (=> (and _let_4 _let_3) (=> (and _let_1 (< J A)) (forall ((A4 tptp.map_int_elt)) (let ((_let_1 (- J 1))) (let ((_let_2 (tptp.get tptp.elt tptp.int (tptp.t2tb3 A2) (tptp.t2tb I)))) (let ((_let_3 (tptp.t2tb _let_1))) (let ((_let_4 (tptp.t2tb J))) (let ((_let_5 (tptp.t2tb3 A3))) (=> (and (<= 0 A) (= A4 (tptp.tb2t3 (tptp.set tptp.elt tptp.int _let_5 _let_4 (tptp.get tptp.elt tptp.int _let_5 _let_3))))) (=> (tptp.exchange3 tptp.elt (tptp.mk_array1 tptp.elt A (tptp.set tptp.elt tptp.int _let_5 _let_4 _let_2)) (tptp.mk_array1 tptp.elt A (tptp.set tptp.elt tptp.int (tptp.t2tb3 A4) _let_3 _let_2)) _let_1 J) (forall ((J1 Int)) (=> (= J1 (- J 1)) (forall ((K Int)) (=> (and (<= (+ J1 1) K) (<= K I)) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 A2) (tptp.t2tb I))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 A4) (tptp.t2tb K))))))))))))))))))))))))))))))))))))))) (let ((_let_2 (forall ((X tptp.elt1) (Y tptp.elt1)) (=> (not (tptp.le1 X Y)) (tptp.le1 Y X))))) (let ((_let_3 (forall ((J tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int tptp.elt) J) (= (tptp.t2tb3 (tptp.tb2t3 J)) J))))) (let ((_let_4 (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb X))))) (let ((_let_5 (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_6 (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 ((_let_7 (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))))) (let ((_let_8 (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 B (tptp.get B A X X1))))) (let ((_let_9 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9))) (let ((_let_11 (>= _let_10 1))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_13 (>= _let_10 0))) (let ((_let_14 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_16 (tptp.t2tb _let_15))) (let ((_let_17 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_18 (tptp.get tptp.elt tptp.int _let_17 _let_16))) (let ((_let_19 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (tptp.set tptp.elt tptp.int _let_17 _let_19 _let_18))) (let ((_let_21 (tptp.t2tb3 (tptp.tb2t3 _let_20)))) (let ((_let_22 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_23 (tptp.get tptp.elt tptp.int _let_22 (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_24 (tptp.tb2t4 _let_23))) (let ((_let_25 (tptp.le1 _let_24 (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_21 _let_14))))) (let ((_let_26 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_27 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_26) 1))) (let ((_let_28 (tptp.mk_array1 tptp.elt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.set tptp.elt tptp.int _let_17 _let_19 _let_23)))) (let ((_let_29 (not (tptp.exchange3 tptp.elt _let_28 (tptp.mk_array1 tptp.elt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.set tptp.elt tptp.int _let_21 _let_16 _let_23)) _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_30 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30))) (let ((_let_32 (not (>= _let_31 1)))) (let ((_let_33 (tptp.tb2t4 _let_18))) (let ((_let_34 (tptp.le1 _let_33 _let_24))) (let ((_let_35 (not (>= _let_31 0)))) (let ((_let_36 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 1)))) (let ((_let_37 (forall ((K Int)) (or (not (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 1)) (>= (+ K (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) 1) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.t2tb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.t2tb K)))))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (or (not (>= K1 0)) (>= (+ K1 (* (- 1) K2)) 1) (>= (+ K2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) 1) (= K1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (= K2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb K2)))))))))) (let ((_let_40 (tptp.mk_array1 tptp.elt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_41 (not (tptp.permut_all tptp.elt _let_40 _let_28)))) (let ((_let_42 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 0)))) (let ((_let_43 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 0)))) (let ((_let_44 (not (tptp.permut_all tptp.elt _let_40 (tptp.mk_array1 tptp.elt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_22))))) (let ((_let_45 (not (tptp.sorted_sub6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_46 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26) 1)))) (let ((_let_47 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 1)))) (let ((_let_48 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 2)))) (let ((_let_49 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0)))) (let ((_let_50 (or _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_26) 1) _let_41 _let_39 _let_38 _let_36 _let_35 _let_34 _let_32 _let_29 _let_11 _let_27 _let_25))) (let ((_let_51 (not _let_11))) (let ((_let_52 (forall ((A Int) (A1 tptp.map_int_elt) (BOUND_VARIABLE_2805 Int) (BOUND_VARIABLE_2803 tptp.map_int_elt) (BOUND_VARIABLE_2801 Int) (BOUND_VARIABLE_2799 tptp.map_int_elt) (BOUND_VARIABLE_2797 Int)) (let ((_let_1 (+ (- 1) BOUND_VARIABLE_2805))) (let ((_let_2 (tptp.t2tb _let_1))) (let ((_let_3 (tptp.t2tb3 BOUND_VARIABLE_2803))) (let ((_let_4 (tptp.get tptp.elt tptp.int _let_3 _let_2))) (let ((_let_5 (tptp.t2tb BOUND_VARIABLE_2805))) (let ((_let_6 (tptp.t2tb3 (tptp.tb2t3 (tptp.set tptp.elt tptp.int _let_3 _let_5 _let_4))))) (let ((_let_7 (tptp.t2tb3 BOUND_VARIABLE_2799))) (let ((_let_8 (tptp.get tptp.elt tptp.int _let_7 (tptp.t2tb BOUND_VARIABLE_2797)))) (let ((_let_9 (tptp.tb2t4 _let_8))) (let ((_let_10 (* (- 1) BOUND_VARIABLE_2805))) (let ((_let_11 (tptp.mk_array1 tptp.elt A (tptp.set tptp.elt tptp.int _let_3 _let_5 _let_8)))) (let ((_let_12 (+ A _let_10))) (let ((_let_13 (tptp.mk_array1 tptp.elt A (tptp.t2tb3 A1)))) (or (not (>= A 0)) (not (>= A 2)) (not (>= BOUND_VARIABLE_2797 1)) (not (>= (+ A (* (- 1) BOUND_VARIABLE_2797)) 1)) (not (tptp.sorted_sub6 BOUND_VARIABLE_2799 0 BOUND_VARIABLE_2797)) (not (tptp.permut_all tptp.elt _let_13 (tptp.mk_array1 tptp.elt A _let_7))) (not (>= BOUND_VARIABLE_2797 0)) (not (>= BOUND_VARIABLE_2805 0)) (not (>= (+ BOUND_VARIABLE_2797 _let_10) 0)) (not (tptp.permut_all tptp.elt _let_13 _let_11)) (not (forall ((K1 Int) (K2 Int)) (let ((_let_1 (tptp.t2tb3 BOUND_VARIABLE_2803))) (or (not (>= K1 0)) (>= (+ K1 (* (- 1) K2)) 1) (>= (+ K2 (* (- 1) BOUND_VARIABLE_2797)) 1) (= K1 BOUND_VARIABLE_2805) (= K2 BOUND_VARIABLE_2805) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb K1))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb K2)))))))) (not (forall ((K Int)) (or (not (>= (+ K (* (- 1) BOUND_VARIABLE_2805)) 1)) (>= (+ K (* (- 1) BOUND_VARIABLE_2797)) 1) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 BOUND_VARIABLE_2799) (tptp.t2tb BOUND_VARIABLE_2797))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int (tptp.t2tb3 BOUND_VARIABLE_2803) (tptp.t2tb K))))))) (not (>= BOUND_VARIABLE_2805 1)) (not (>= _let_12 0)) (tptp.le1 (tptp.tb2t4 _let_4) _let_9) (not (>= _let_12 1)) (not (tptp.exchange3 tptp.elt _let_11 (tptp.mk_array1 tptp.elt A (tptp.set tptp.elt tptp.int _let_6 _let_2 _let_8)) _let_1 BOUND_VARIABLE_2805)) (not (>= (+ BOUND_VARIABLE_2801 _let_10) 0)) (not (>= (+ BOUND_VARIABLE_2797 (* (- 1) BOUND_VARIABLE_2801)) 0)) (tptp.le1 _let_9 (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_6 (tptp.t2tb BOUND_VARIABLE_2801))))))))))))))))))))) (let ((_let_53 (not _let_50))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_54) :args (_let_56)) (REWRITE :args ((=> _let_56 (not (or _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_30) 0)) _let_41 _let_39 _let_38 _let_36 _let_35 _let_34 _let_32 _let_29 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_30) 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_9) 0)) _let_25))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (= _let_19 _let_14))) (let ((_let_59 (not _let_12))) (let ((_let_60 (tptp.le1 _let_24 _let_33))) (let ((_let_61 (= _let_20 _let_21))) (let ((_let_62 (= _let_18 (tptp.get tptp.elt tptp.int _let_20 _let_19)))) (let ((_let_63 (not _let_58))) (let ((_let_64 (or _let_34 _let_60))) (let ((_let_65 (forall ((X tptp.elt1) (Y tptp.elt1)) (or (tptp.le1 X Y) (tptp.le1 Y X))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (tptp.sort1 (tptp.map tptp.int tptp.elt) _let_20))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_61))) (let ((_let_70 (forall ((J tptp.uni)) (or (not (tptp.sort1 (tptp.map tptp.int tptp.elt) J)) (= J (tptp.t2tb3 (tptp.tb2t3 J))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_7))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_61 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.int tptp.elt _let_17 _let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set B A X X1 X2)))) :args _let_72)) _let_73 :args (_let_67 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.tb2t3 J)))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_61 false _let_67 false _let_69)))) (let ((_let_75 (tptp.sort1 tptp.elt _let_18))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_62))) (let ((_let_78 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A2 tptp.uni) (B1 tptp.uni)) (or (not (tptp.sort1 B B1)) (= B1 (tptp.get B A (tptp.set B A M A2 B1) A2)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_8))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (not _let_25))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 19)) _let_57 :args (_let_82 true _let_50)))) (let ((_let_84 (not _let_60))) (let ((_let_85 (not _let_61))) (let ((_let_86 (not _let_62))) (let ((_let_87 (REFL :args (_let_85)))) (let ((_let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_25))))) (let ((_let_89 (ASSUME :args (_let_82)))) (let ((_let_90 (FALSE_INTRO _let_89))) (let ((_let_91 (APPLY_UF tptp.le1))) (let ((_let_92 (APPLY_UF tptp.tb2t4))) (let ((_let_93 (APPLY_UF tptp.get))) (let ((_let_94 (REFL :args (_let_14)))) (let ((_let_95 (ASSUME :args (_let_61)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (REFL :args (tptp.int)))) (let ((_let_98 (REFL :args (tptp.elt)))) (let ((_let_99 (ASSUME :args (_let_58)))) (let ((_let_100 (ASSUME :args (_let_62)))) (let ((_let_101 (REFL :args (_let_24)))) (let ((_let_102 (ASSUME :args (_let_60)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_89 _let_95 _let_99 _let_100 _let_102) :args (_let_82 _let_58 _let_62 _let_61 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_102)) (CONG _let_101 (CONG (TRANS (SYMM (SYMM _let_100)) (CONG _let_98 _let_97 (REFL :args (_let_20)) (SYMM (SYMM _let_99)) :args _let_93) (CONG _let_98 _let_97 (SYMM _let_96) _let_94 :args _let_93)) :args _let_92) :args _let_91) 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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)))))))))))) (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)))))) (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))))) (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 ((X tptp.map_int_elt)) (tptp.sort1 (tptp.map tptp.int tptp.elt) (tptp.t2tb3 X))) (forall ((I tptp.map_int_elt)) (= (tptp.tb2t3 (tptp.t2tb3 I)) I)) _let_3 (forall ((X tptp.elt1)) (tptp.sort1 tptp.elt (tptp.t2tb4 X))) (forall ((I tptp.elt1)) (= (tptp.tb2t4 (tptp.t2tb4 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 tptp.elt J) (= (tptp.t2tb4 (tptp.tb2t4 J)) J))) (forall ((A tptp.map_int_elt) (L Int) (U Int)) (= (tptp.sorted_sub6 A L U) (forall ((I1 Int) (I2 Int)) (let ((_let_1 (tptp.t2tb3 A))) (=> (and (<= L I1) (<= I1 I2) (< I2 U)) (tptp.le1 (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb I1))) (tptp.tb2t4 (tptp.get tptp.elt tptp.int _let_1 (tptp.t2tb I2))))))))) (forall ((X tptp.elt1)) (tptp.le1 X X)) _let_2 (forall ((X tptp.elt1) (Y tptp.elt1) (Z tptp.elt1)) (=> (and (tptp.le1 X Y) (tptp.le1 Y Z)) (tptp.le1 X Z))) (forall ((X tptp.array_elt)) (tptp.sort1 (tptp.array tptp.elt) (tptp.t2tb5 X))) (forall ((I tptp.array_elt)) (= (tptp.tb2t5 (tptp.t2tb5 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb5 (tptp.tb2t5 J)) J)) (forall ((A tptp.array_elt) (L Int) (U Int)) (= (tptp.sorted_sub7 A L U) (tptp.sorted_sub6 (tptp.tb2t3 (tptp.elts tptp.elt (tptp.t2tb5 A))) L U))) (forall ((A tptp.array_elt)) (let ((_let_1 (tptp.t2tb5 A))) (= (tptp.sorted3 A) (tptp.sorted_sub6 (tptp.tb2t3 (tptp.elts tptp.elt _let_1)) 0 (tptp.length1 tptp.elt _let_1))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.59/15.92 )
% 15.59/15.92 % SZS output end Proof for SWW607_2
% 15.59/15.92 % cvc5---1.0.5 exiting
% 15.59/15.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------