%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW614_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 00:21:42 EDT 2023

% Result   : Theorem 35.80s 36.11s
% Output   : Proof 35.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWW614_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n010.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 20:03:04 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_ARI
% 35.80/36.11  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.pdfVHNfK7D/cvc5---1.0.5_4050.p...
% 35.80/36.11  ------- get file name : TPTP file name is SWW614_2
% 35.80/36.11  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4050.smt2...
% 35.80/36.11  --- Run --finite-model-find --decision=internal at 15...
% 35.80/36.11  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 35.80/36.11  --- Run --no-e-matching --full-saturate-quant at 15...
% 35.80/36.11  % SZS status Theorem for SWW614_2
% 35.80/36.11  % SZS output start Proof for SWW614_2
% 35.80/36.11  (
% 35.80/36.11  (let ((_let_1 (not (forall ((A Int) (A1 tptp.map_int_int) (X Int) (Y Int)) (=> (and (<= 0 A) (<= 0 X) (< X A) (<= 0 Y) (< Y A)) (forall ((L Int)) (let ((_let_1 (+ Y L))) (let ((_let_2 (tptp.t2tb2 A1))) (let ((_let_3 (+ X L))) (let ((_let_4 (< _let_3 A))) (let ((_let_5 (< _let_1 A))) (=> (tptp.eqseq (tptp.tb2t1 (tptp.mk_array tptp.int A _let_2)) X Y L) (=> _let_4 (=> _let_5 (=> (and (<= 0 _let_1) _let_5) (=> (and (<= 0 _let_3) _let_4) (=> (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_2 (tptp.t2tb _let_3))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_2 (tptp.t2tb _let_1)))) (forall ((L1 Int)) (=> (= L1 (+ L 1)) (tptp.eqseq (tptp.tb2t1 (tptp.mk_array tptp.int A (tptp.t2tb2 A1))) X Y L1)))))))))))))))))))) (let ((_let_2 (forall ((X tptp.map_int_int)) (tptp.sort (tptp.map tptp.int tptp.int) (tptp.t2tb2 X))))) (let ((_let_3 (forall ((A tptp.array_int) (X Int) (Y Int) (Len Int)) (let ((_let_1 (tptp.length tptp.int (tptp.t2tb1 A)))) (= (tptp.eqseq A X Y Len) (and (<= 0 Len) (<= (+ X Len) _let_1) (<= (+ Y Len) _let_1) (forall ((I Int)) (let ((_let_1 (tptp.t2tb1 A))) (=> (and (<= 0 I) (< I Len)) (= (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ X I))) (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ Y I))))))))))))) (let ((_let_4 (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)))) (let ((_let_5 (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_6 (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)))) (let ((_let_7 (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_8 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= (tptp.length A (tptp.mk_array A U U1)) U)))) (let ((_let_9 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (tptp.t2tb _let_9))) (let ((_let_11 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.get tptp.int tptp.int _let_11 _let_10))) (let ((_let_13 (tptp.tb2t _let_12))) (let ((_let_14 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (tptp.t2tb _let_14))) (let ((_let_16 (tptp.get tptp.int tptp.int _let_11 _let_15))) (let ((_let_17 (tptp.tb2t _let_16))) (let ((_let_18 (= _let_17 _let_13))) (let ((_let_19 (= _let_12 (tptp.t2tb _let_13)))) (let ((_let_20 (tptp.mk_array tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11))) (let ((_let_21 (tptp.tb2t1 _let_20))) (let ((_let_22 (tptp.t2tb1 _let_21))) (let ((_let_23 (= _let_20 _let_22))) (let ((_let_24 (= _let_11 (tptp.elts tptp.int _let_20)))) (let ((_let_25 (= _let_16 (tptp.t2tb _let_17)))) (let ((_let_26 (tptp.elts tptp.int _let_22))) (let ((_let_27 (= (tptp.get1 tptp.int _let_22 _let_14) (tptp.get tptp.int tptp.int _let_26 _let_15)))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_29 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_30 (tptp.tb2t (tptp.get1 tptp.int _let_22 _let_29)))) (let ((_let_31 (= _let_17 _let_30))) (let ((_let_32 (+ 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (tptp.eqseq _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_32))) (let ((_let_34 (not _let_18))) (let ((_let_35 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_36 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_37 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_36 _let_35))) (let ((_let_38 (>= _let_37 1))) (let ((_let_39 (not _let_38))) (let ((_let_40 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_41 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_40 _let_35) 1))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.eqseq _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0)) (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_40) 1)) (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_36) 1)) _let_44 _let_42 _let_39 (not (>= _let_9 0)) (not (>= _let_14 0)) _let_34 _let_33))) (let ((_let_46 (forall ((A Int) (A1 tptp.map_int_int) (X Int) (Y Int) (BOUND_VARIABLE_1332 Int)) (let ((_let_1 (tptp.t2tb2 A1))) (let ((_let_2 (tptp.tb2t1 (tptp.mk_array tptp.int A _let_1)))) (let ((_let_3 (+ Y BOUND_VARIABLE_1332))) (let ((_let_4 (+ X BOUND_VARIABLE_1332))) (let ((_let_5 (* (- 1) BOUND_VARIABLE_1332))) (let ((_let_6 (* (- 1) Y))) (let ((_let_7 (* (- 1) X))) (or (not (>= A 0)) (not (>= X 0)) (not (>= (+ A _let_7) 1)) (not (>= Y 0)) (not (>= (+ A _let_6) 1)) (not (tptp.eqseq _let_2 X Y BOUND_VARIABLE_1332)) (not (>= (+ A _let_7 _let_5) 1)) (not (>= (+ A _let_6 _let_5) 1)) (not (>= _let_3 0)) (not (>= _let_4 0)) (not (= (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb _let_4))) (tptp.tb2t (tptp.get tptp.int tptp.int _let_1 (tptp.t2tb _let_3))))) (tptp.eqseq _let_2 X Y (+ 1 BOUND_VARIABLE_1332))))))))))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or))) (let ((_let_50 (not _let_46))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_48) :args (_let_50))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_46))) (REFL :args (_let_47)) :args _let_49)) _let_48 :args (_let_47 true _let_46)))) (let ((_let_52 (REFL :args (_let_45)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 10)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_18))) :args _let_49)) :args ((or _let_18 _let_45))) _let_51 :args (_let_18 true _let_45)))) (let ((_let_54 (forall ((J tptp.uni)) (= J (tptp.t2tb (tptp.tb2t J)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (forall ((J tptp.uni)) (= J (tptp.t2tb1 (tptp.tb2t1 J)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_20 QUANTIFIERS_INST_ENUM)) :args (_let_57))) _let_58 :args (_let_23 false _let_57)))) (let ((_let_60 (tptp.sort (tptp.map tptp.int tptp.int) _let_11))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_24))) (let ((_let_63 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (or (not (tptp.sort (tptp.map tptp.int A) U1)) (= U1 (tptp.elts A (tptp.mk_array A U U1))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11 QUANTIFIERS_INST_ENUM))) (let ((_let_66 (_let_2))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_24 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_66)) _let_67 :args (_let_60 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args _let_65) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_24 false _let_60 false _let_62)))) (let ((_let_69 (_let_5))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58)))) (let ((_let_72 (>= _let_71 0))) (let ((_let_73 (>= _let_71 1))) (let ((_let_74 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_75 (tptp.tb2t (tptp.get1 tptp.int _let_22 _let_74)))) (let ((_let_76 (= _let_30 _let_75))) (let ((_let_77 (not _let_72))) (let ((_let_78 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 0))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77 _let_76))) (let ((_let_81 (forall ((I Int)) (let ((_let_1 (tptp.t2tb1 (tptp.tb2t1 (tptp.mk_array tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (or (not (>= I 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 1) (= (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))))) (let ((_let_82 (not _let_80))) (let ((_let_83 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (- 1)))) (let ((_let_84 (tptp.length tptp.int _let_22))) (let ((_let_85 (* (- 1) _let_84))) (let ((_let_86 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_85))) (let ((_let_87 (>= _let_86 0))) (let ((_let_88 (not _let_87))) (let ((_let_89 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_85))) (let ((_let_90 (>= _let_89 0))) (let ((_let_91 (not _let_90))) (let ((_let_92 (and _let_83 _let_91 _let_88 _let_81))) (let ((_let_93 (not _let_81))) (let ((_let_94 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 0))) (let ((_let_95 (forall ((I Int)) (let ((_let_1 (tptp.t2tb1 (tptp.tb2t1 (tptp.mk_array tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (or (not (>= I 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 0) (= (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))))) (let ((_let_96 (and _let_94 (not (>= _let_89 1)) (not (>= _let_86 1)) _let_95))) (let ((_let_97 (= _let_43 _let_96))) (let ((_let_98 (forall ((A tptp.array_int) (X Int) (Y Int) (Len Int)) (let ((_let_1 (* (- 1) (tptp.length tptp.int (tptp.t2tb1 A))))) (= (tptp.eqseq A X Y Len) (and (>= Len 0) (not (>= (+ X Len _let_1) 1)) (not (>= (+ Y Len _let_1) 1)) (forall ((I Int)) (let ((_let_1 (tptp.t2tb1 A))) (or (not (>= I 0)) (not (>= (+ Len (* (- 1) I)) 1)) (= (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ X I))) (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ Y I))))))))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_97)) :args ((or _let_44 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 5)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_49)) :args ((or _let_43 _let_45))) _let_51 :args (_let_43 true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_100))) _let_99 :args (_let_97 false _let_98)) :args (_let_96 false _let_43 false _let_97)))) (let ((_let_102 (not _let_96))) (let ((_let_103 (_let_94))) (let ((_let_104 ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (- 1))))) (let ((_let_105 (false))) (let ((_let_106 (ASSUME :args _let_103))) (let ((_let_107 (= _let_33 _let_92))) (let ((_let_108 (not _let_92))) (let ((_let_109 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.length tptp.int _let_20)))) (let ((_let_110 (forall ((A tptp.ty) (U Int) (U1 tptp.uni)) (= U (tptp.length A (tptp.mk_array A U U1)))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args _let_65) :args (_let_110))) _let_111 :args (_let_109 false _let_110)))) (let ((_let_113 (= _let_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_114 (_let_38))) (let ((_let_115 ((- 1.0) 1.0 (- 1.0)))) (let ((_let_116 (ASSUME :args (_let_87)))) (let ((_let_117 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_113)) :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_85) 0))))) (let ((_let_118 (ASSUME :args _let_114))) (let ((_let_119 (ASSUME :args (_let_109)))) (let ((_let_120 (ASSUME :args (_let_23)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (REFL :args (tptp.int)))) (let ((_let_123 (MODUS_PONENS (AND_INTRO _let_119 _let_120) (SCOPE (TRANS (CONG _let_122 _let_121 :args (APPLY_UF tptp.length)) (SYMM _let_119)) :args (_let_109 _let_23))))) (let ((_let_124 (_let_90))) (let ((_let_125 (ASSUME :args (_let_41)))) (let ((_let_126 (ASSUME :args _let_124))) (let ((_let_127 (not _let_83))) (let ((_let_128 (_let_93))) (let ((_let_129 (_let_92))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128) (REWRITE :args ((=> _let_93 (not (or _let_79 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 _let_35) 1) (= (tptp.tb2t (tptp.get1 tptp.int _let_22 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.tb2t (tptp.get1 tptp.int _let_22 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_81))) (REFL :args (_let_82)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_129) (CONG (REFL :args _let_129) (REFL :args (_let_127)) (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_90))) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) (REFL :args _let_128) :args _let_49)) :args ((or _let_90 _let_87 _let_92 _let_127 _let_93))) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_125 _let_123 _let_126) :args (_let_41 _let_109 _let_23 _let_90)) (SCOPE (CONTRA _let_126 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_126 _let_117 _let_125 :args _let_115) :args _let_105) :args _let_124) :args ((< _let_89 0))) :args (_let_91))) :args (_let_41 _let_113 _let_90)) :args ((not (and _let_41 _let_109 _let_23 _let_90)) SB_LITERAL))) _let_59 _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 6)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_49)) :args ((or _let_41 _let_45))) _let_51 :args (_let_41 true _let_45)) :args (_let_91 false _let_23 false _let_109 false _let_41)) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_116 _let_123 _let_118) :args (_let_38 _let_109 _let_23 _let_87)) (SCOPE (CONTRA _let_118 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_118 _let_117 _let_116 :args _let_115) :args _let_105) :args _let_114) :args ((< _let_37 1))) :args (_let_39))) :args (_let_87 _let_113 _let_38)) :args ((not (and _let_38 _let_109 _let_23 _let_87)) SB_LITERAL))) _let_59 _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 7)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_49)) :args ((or _let_38 _let_45))) _let_51 :args (_let_38 true _let_45)) :args (_let_88 false _let_23 false _let_109 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_107)) :args ((or _let_33 _let_108 (not _let_107)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_45 11)) _let_51 :args ((not _let_33) true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_32 QUANTIFIERS_INST_ENUM)) :args _let_100))) _let_99 :args (_let_107 false _let_98)) :args (_let_108 true _let_33 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_106 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_104) _let_106 :args (1.0 (- 1.0))) :args _let_105) :args _let_104) :args (_let_83)) :args _let_103)) :args _let_103)) :args ((or _let_83 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_94 _let_102))) _let_101 :args (_let_94 false _let_96)) :args (_let_83 false _let_94)) :args (_let_93 true _let_90 true _let_87 true _let_92 false _let_83)) :args (_let_82 true _let_81)))) (let ((_let_131 (REFL :args (_let_80)))) (let ((_let_132 (not _let_73))) (let ((_let_133 (or _let_79 _let_132 _let_76))) (let ((_let_134 (_let_95))) (let ((_let_135 (not _let_76))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_80 2)) _let_130 :args (_let_135 true _let_80)))) (let ((_let_137 (_let_28))) (let ((_let_138 (and _let_72 _let_132))) (let ((_let_139 (_let_72 _let_132))) (let ((_let_140 (ASSUME :args (_let_132)))) (let ((_let_141 (ASSUME :args (_let_72)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_138)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_140) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY _let_141 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_140 :args ((< _let_71 1)))) :args ((= _let_71 0))) :args _let_137) :args _let_139)) :args _let_139)) :args (true _let_138)) (CONG (REFL :args (_let_77)) (MACRO_SR_PRED_INTRO :args ((= (not _let_132) _let_73))) (REFL :args _let_137) :args _let_49)) :args ((or _let_77 _let_28 _let_73))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_79 _let_76 _let_132 (not _let_133)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 0)) (CONG _let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_49)) :args ((or _let_78 _let_80))) _let_130 :args (_let_78 true _let_80)) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_134) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_ENUM)) :args _let_134))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 3)) :args ((or _let_95 _let_102))) _let_101 :args (_let_95 false _let_96)) :args (_let_133 false _let_95)) :args (_let_132 false _let_78 true _let_76 false _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 1)) (CONG _let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_72))) :args _let_49)) :args ((or _let_72 _let_80))) _let_130 :args (_let_72 true _let_80)) :args (_let_28 true _let_73 false _let_72)))) (let ((_let_143 (= (tptp.get1 tptp.int _let_22 _let_9) (tptp.get tptp.int tptp.int _let_26 _let_10)))) (let ((_let_144 (not _let_31))) (let ((_let_145 (not _let_143))) (let ((_let_146 (not _let_28))) (let ((_let_147 (not _let_23))) (let ((_let_148 (not _let_24))) (let ((_let_149 (= _let_17 _let_75))) (let ((_let_150 (ASSUME :args (_let_18)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (ASSUME :args (_let_31)))) (let ((_let_154 (ASSUME :args (_let_135)))) (let ((_let_155 (= _let_9 _let_74))) (let ((_let_156 (APPLY_UF tptp.tb2t))) (let ((_let_157 (APPLY_UF tptp.get1))) (let ((_let_158 (_let_155))) (let ((_let_159 (REFL :args (_let_22)))) (let ((_let_160 (ASSUME :args (_let_143)))) (let ((_let_161 (APPLY_UF tptp.get))) (let ((_let_162 (ASSUME :args (_let_24)))) (let ((_let_163 (TRANS (SYMM (SYMM _let_162)) (CONG _let_122 (SYMM _let_121) :args (APPLY_UF tptp.elts))))) (let ((_let_164 (ASSUME :args _let_137))) (let ((_let_165 (and _let_18 _let_24 _let_19 _let_23 _let_25 _let_28 _let_27))) (let ((_let_166 (= _let_14 _let_29))) (let ((_let_167 (_let_166))) (let ((_let_168 (ASSUME :args (_let_27)))) (let ((_let_169 (ASSUME :args (_let_25)))) (let ((_let_170 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_165)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MACRO_SR_PRED_TRANSFORM _let_164 :args _let_167) _let_168 _let_120 _let_162 _let_169 _let_150 _let_170) (SCOPE (TRANS _let_150 (CONG (TRANS (SYMM (SYMM _let_170)) (CONG _let_151 :args (APPLY_UF tptp.t2tb)) (SYMM _let_169) (CONG _let_122 _let_122 _let_163 (REFL :args (_let_15)) :args _let_161) (SYMM _let_168) (CONG _let_122 _let_159 (SYMM (SYMM (ASSUME :args _let_167))) :args _let_157)) :args _let_156)) :args (_let_166 _let_27 _let_23 _let_24 _let_25 _let_18 _let_19))) :args (_let_18 _let_24 _let_19 _let_23 _let_25 _let_28 _let_27))) :args (true _let_165)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_150 _let_153 (MODUS_PONENS (AND_INTRO (MACRO_SR_PRED_TRANSFORM _let_164 :args _let_158) _let_160 _let_120 _let_162 _let_150) (SCOPE (TRANS _let_152 (CONG (TRANS (CONG _let_122 _let_122 _let_163 (REFL :args (_let_10)) :args _let_161) (SYMM _let_160) (CONG _let_122 _let_159 (SYMM (SYMM (ASSUME :args _let_158))) :args _let_157)) :args _let_156)) :args (_let_155 _let_143 _let_23 _let_24 _let_18))) _let_154) :args (_let_18 _let_24 _let_23 _let_143 _let_28 _let_135 _let_31)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_154)) (TRUE_INTRO (TRANS (SYMM _let_153) _let_152 (SYMM (TRANS (SYMM (ASSUME :args (_let_149))) _let_152)))))) :args (_let_18 _let_31 _let_149 _let_135)) :args ((not (and _let_18 _let_24 _let_23 _let_143 _let_28 _let_135 _let_31)) SB_LITERAL))) (CONG (REFL :args (_let_34)) (REFL :args (_let_148)) (REFL :args (_let_147)) (REFL :args (_let_145)) (REFL :args (_let_146)) (MACRO_SR_PRED_INTRO :args ((= (not _let_135) _let_76))) (REFL :args (_let_144)) :args _let_49)) :args ((or _let_34 _let_148 _let_147 _let_76 _let_146 _let_145 _let_144))) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.int _let_22 _let_9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_69)) _let_70 :args (_let_143 false _let_5)) _let_136 _let_68 _let_59 _let_53 :args (_let_144 false _let_28 false _let_143 true _let_76 false _let_24 false _let_23 false _let_18)) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.int _let_22 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_69)) _let_70 :args (_let_27 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_55 :args (_let_25 false _let_54)) _let_68 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_12 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_55 :args (_let_19 false _let_54)) _let_53 :args (false true _let_31 false _let_28 false _let_27 false _let_25 false _let_24 false _let_23 false _let_19 false _let_18)) :args ((forall ((A tptp.ty)) (tptp.sort A (tptp.witness A))) (forall ((A tptp.ty) (X tptp.bool) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort A (tptp.match_bool A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort A Z) (= (tptp.match_bool A tptp.true Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort A Z1) (= (tptp.match_bool A tptp.false Z Z1) Z1))) (not (= tptp.true tptp.false)) (forall ((U tptp.bool)) (or (= U tptp.true) (= U tptp.false))) (forall ((U 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))))) (forall ((A tptp.ty) (B tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort B (tptp.get B A X X1))) (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))) (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)))) (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_8 (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort (tptp.map tptp.int A) (tptp.elts A X))) _let_7 (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)) _let_6 _let_5 (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 ((X tptp.array_int)) (tptp.sort (tptp.array tptp.int) (tptp.t2tb1 X))) (forall ((I tptp.array_int)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) _let_4 _let_3 (forall ((A tptp.array_int) (X Int) (Y Int) (I Int)) (let ((_let_1 (tptp.t2tb1 A))) (=> (<= 0 I) (=> (not (= (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ X I))) (tptp.tb2t (tptp.get1 tptp.int _let_1 (+ Y I))))) (forall ((Len Int)) (=> (< I Len) (not (tptp.eqseq A X Y Len)))))))) _let_2 (forall ((I tptp.map_int_int)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb2 (tptp.tb2t2 J)) J)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 35.80/36.12  )
% 35.80/36.12  % SZS output end Proof for SWW614_2
% 35.80/36.12  % cvc5---1.0.5 exiting
% 35.80/36.12  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------