TSTP Solution File: SWW589_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW589_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 00:21:37 EDT 2023
% Result : Theorem 32.44s 32.78s
% Output : Proof 32.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW589_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 19:41:34 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.50 %----Proving TF0_ARI
% 32.44/32.78 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9ciur6tSmf/cvc5---1.0.5_6679.p...
% 32.44/32.78 ------- get file name : TPTP file name is SWW589_2
% 32.44/32.78 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6679.smt2...
% 32.44/32.78 --- Run --finite-model-find --decision=internal at 15...
% 32.44/32.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 32.44/32.78 --- Run --no-e-matching --full-saturate-quant at 15...
% 32.44/32.78 % SZS status Theorem for SWW589_2
% 32.44/32.78 % SZS output start Proof for SWW589_2
% 32.44/32.78 (
% 32.44/32.78 (let ((_let_1 (not (forall ((W1 Int) (W11 tptp.uni) (W2 Int) (W21 tptp.uni)) (let ((_let_1 (<= 0 W2))) (let ((_let_2 (<= 0 (+ W2 1)))) (let ((_let_3 (tptp.map tptp.int tptp.char))) (=> (tptp.sort1 _let_3 W11) (=> (tptp.sort1 _let_3 W21) (=> (and (<= 0 W1) _let_1) (=> _let_2 (=> _let_2 (=> _let_1 (forall ((T tptp.map_int_int) (I Int)) (let ((_let_1 (+ W2 1))) (let ((_let_2 (<= 0 I))) (=> (and _let_2 (<= I W2)) (=> (forall ((J Int)) (=> (and (<= 0 J) (< J I)) (= (tptp.tb2t2 (tptp.get tptp.int tptp.int (tptp.t2tb5 T) (tptp.t2tb2 J))) (- W2 J)))) (=> (and (<= 0 _let_1) _let_2 (< I _let_1)) (forall ((T1 tptp.map_int_int)) (=> (and (<= 0 (+ W2 1)) (= T1 (tptp.tb2t5 (tptp.set tptp.int tptp.int (tptp.t2tb5 T) (tptp.t2tb2 I) (tptp.t2tb2 (- W2 I)))))) (forall ((J Int)) (=> (and (<= 0 J) (< J (+ I 1))) (= (tptp.tb2t2 (tptp.get tptp.int tptp.int (tptp.t2tb5 T1) (tptp.t2tb2 J))) (- W2 J))))))))))))))))))))))))) (let ((_let_2 (forall ((J tptp.uni)) (= (tptp.t2tb5 (tptp.tb2t5 J)) J)))) (let ((_let_3 (forall ((I Int)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)))) (let ((_let_4 (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb2 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 (tptp.tb2t (tptp.nil tptp.char)))) (let ((_let_8 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8))) (let ((_let_10 (tptp.t2tb2 _let_9))) (let ((_let_11 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_12 (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (tptp.set tptp.int tptp.int _let_12 _let_11 _let_10))) (let ((_let_14 (tptp.t2tb5 (tptp.tb2t5 _let_13)))) (let ((_let_15 (= _let_13 _let_14))) (let ((_let_16 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_17 (tptp.tb2t2 (tptp.get tptp.int tptp.int _let_14 _let_16)))) (let ((_let_18 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18 (* (- 1) _let_17)))) (let ((_let_20 (>= _let_19 1))) (let ((_let_21 (tptp.get tptp.int tptp.int _let_12 _let_16))) (let ((_let_22 (tptp.tb2t2 _let_21))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22)))) (let ((_let_24 (= _let_21 (tptp.get tptp.int tptp.int _let_13 _let_16)))) (let ((_let_25 (forall ((J tptp.uni)) (= J (tptp.t2tb5 (tptp.tb2t5 J)))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_13 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_25))) _let_26 :args (_let_15 false _let_25)))) (let ((_let_28 (>= _let_19 0))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_17)))) (let ((_let_30 (tptp.tb2t2 _let_10))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_30)))) (let ((_let_32 (= _let_10 (tptp.get tptp.int tptp.int (tptp.set tptp.int tptp.int _let_12 _let_16 _let_10) _let_16)))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_34 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8))) (let ((_let_35 (>= _let_34 1))) (let ((_let_36 (>= _let_34 0))) (let ((_let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.tb2t2 _let_16)))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.tb2t2 _let_11)))) (let ((_let_39 (= _let_11 _let_16))) (let ((_let_40 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 0))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_36 _let_23))) (let ((_let_43 (tptp.sort1 tptp.int _let_16))) (let ((_let_44 (tptp.sort1 tptp.int _let_11))) (let ((_let_45 (not _let_43))) (let ((_let_46 (not _let_44))) (let ((_let_47 (or _let_46 _let_45 _let_39 _let_24))) (let ((_let_48 (forall ((I Int)) (= I (tptp.tb2t2 (tptp.t2tb2 I)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 (_let_9 QUANTIFIERS_INST_ENUM))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_51) :args _let_50))) _let_49 :args (_let_31 false _let_48)))) (let ((_let_53 (tptp.sort1 tptp.int _let_10))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_32))) (let ((_let_56 (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_57 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_4))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_32 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_51) :args _let_58)) _let_59 :args (_let_53 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.int tptp.int _let_12 _let_16 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_32 false _let_53 false _let_55)))) (let ((_let_61 (not _let_32))) (let ((_let_62 (not _let_31))) (let ((_let_63 (not _let_33))) (let ((_let_64 (not _let_15))) (let ((_let_65 (or))) (let ((_let_66 (REFL :args (_let_64)))) (let ((_let_67 (not _let_28))) (let ((_let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_28))))) (let ((_let_69 (_let_63))) (let ((_let_70 (= _let_17 _let_30))) (let ((_let_71 (* (- 1) _let_30))) (let ((_let_72 (= (+ _let_17 _let_71) 0))) (let ((_let_73 ((not _let_72)))) (let ((_let_74 (_let_72))) (let ((_let_75 (false))) (let ((_let_76 (ASSUME :args (_let_31)))) (let ((_let_77 (MACRO_SR_PRED_TRANSFORM _let_76 :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8 _let_71) 0))))) (let ((_let_78 (= _let_34 0))) (let ((_let_79 (ASSUME :args (_let_33)))) (let ((_let_80 (MACRO_SR_PRED_TRANSFORM _let_79 :args (_let_78)))) (let ((_let_81 (< _let_19 0))) (let ((_let_82 (_let_81))) (let ((_let_83 (_let_67))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (MACRO_SR_PRED_TRANSFORM _let_84 :args _let_82))) (let ((_let_86 (ASSUME :args _let_74))) (let ((_let_87 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_70)) :args _let_74))) (let ((_let_88 (APPLY_UF tptp.tb2t2))) (let ((_let_89 (ASSUME :args (_let_32)))) (let ((_let_90 (APPLY_UF tptp.get))) (let ((_let_91 (REFL :args (_let_16)))) (let ((_let_92 (REFL :args (tptp.int)))) (let ((_let_93 (ASSUME :args (_let_15)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (MODUS_PONENS (AND_INTRO _let_89 _let_79 _let_93) (SCOPE (CONG (TRANS (CONG _let_92 _let_92 _let_94 _let_91 :args _let_90) (CONG _let_92 _let_92 (CONG _let_92 _let_92 (REFL :args (_let_12)) (CONG (SYMM _let_79) :args (APPLY_UF tptp.t2tb2)) (REFL :args (_let_10)) :args (APPLY_UF tptp.set)) _let_91 :args _let_90) (SYMM _let_89)) :args _let_88) :args (_let_32 _let_33 _let_15))))) (let ((_let_96 (forall ((J Int)) (or (not (>= J 0)) (>= (+ J (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 0) (= J (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) (tptp.tb2t2 (tptp.get tptp.int tptp.int (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.t2tb2 J)))))))))) (let ((_let_97 (not _let_96))) (let ((_let_98 (not (>= _let_9 0)))) (let ((_let_99 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 0)))) (let ((_let_100 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (- 1))))) (let ((_let_101 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0)))) (let ((_let_102 (or _let_101 _let_100 _let_99 _let_98 _let_97 _let_41 _let_35 _let_29))) (let ((_let_103 (not _let_35))) (let ((_let_104 (forall ((W2 Int) (BOUND_VARIABLE_2910 Int) (BOUND_VARIABLE_2908 tptp.map_int_int) (BOUND_VARIABLE_2906 Int)) (let ((_let_1 (+ W2 (* (- 1) BOUND_VARIABLE_2906)))) (or (not (>= W2 0)) (not (>= W2 (- 1))) (not (>= BOUND_VARIABLE_2906 0)) (not (>= _let_1 0)) (not (forall ((J Int)) (or (not (>= J 0)) (>= (+ J (* (- 1) BOUND_VARIABLE_2906)) 0) (= W2 (+ J (tptp.tb2t2 (tptp.get tptp.int tptp.int (tptp.t2tb5 BOUND_VARIABLE_2908) (tptp.t2tb2 J)))))))) (not (>= BOUND_VARIABLE_2910 0)) (not (>= (+ BOUND_VARIABLE_2906 (* (- 1) BOUND_VARIABLE_2910)) 0)) (= W2 (+ BOUND_VARIABLE_2910 (tptp.tb2t2 (tptp.get tptp.int tptp.int (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.int tptp.int (tptp.t2tb5 BOUND_VARIABLE_2908) (tptp.t2tb2 BOUND_VARIABLE_2906) (tptp.t2tb2 _let_1)))) (tptp.t2tb2 BOUND_VARIABLE_2910)))))))))) (let ((_let_105 (not _let_102))) (let ((_let_106 (not _let_104))) (let ((_let_107 (_let_106))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_107)) :args _let_107) (REWRITE :args ((=> _let_106 (not (or _let_101 _let_100 _let_99 _let_98 (not (forall ((J Int)) (or (not (>= J 0)) (>= (+ J (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) 0) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (+ J (tptp.tb2t2 (tptp.get tptp.int tptp.int (tptp.t2tb5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.t2tb2 J)))))))) _let_41 (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_18) 0)) _let_29))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_104))) (REFL :args (_let_105)) :args _let_65)) (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (2)) :args (_let_105 true _let_104)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_102 6)) :args ((or _let_103 _let_102))) _let_108 :args (_let_103 true _let_102)))) (let ((_let_110 (not _let_36))) (let ((_let_111 (_let_110))) (let ((_let_112 (and _let_103 _let_63))) (let ((_let_113 (_let_103 _let_63))) (let ((_let_114 (ASSUME :args _let_69))) (let ((_let_115 (ASSUME :args (_let_103)))) (let ((_let_116 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_115 _let_114) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_115 :args ((< _let_34 1)))) (MACRO_SR_PRED_TRANSFORM _let_114 :args ((not _let_78))) :args ((< _let_34 0))) :args _let_111) :args _let_113)) :args _let_113)) :args (true _let_112)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_35))) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_33))) (REFL :args _let_111) :args _let_65)))) (let ((_let_117 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_117) :args _let_50)) _let_49 :args (_let_37 false _let_48)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_49 :args (_let_38 false _let_48)))) (let ((_let_120 (not _let_39))) (let ((_let_121 (and _let_39 _let_37 _let_38))) (let ((_let_122 (ASSUME :args (_let_38)))) (let ((_let_123 (ASSUME :args (_let_39)))) (let ((_let_124 (ASSUME :args (_let_37)))) (let ((_let_125 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_123 _let_124) (SCOPE (TRANS (SYMM (SYMM _let_124)) (CONG (SYMM _let_123) :args _let_88) (SYMM _let_122)) :args (_let_38 _let_39 _let_37))) :args (_let_39 _let_37 _let_38))) :args (true _let_121)) :args ((or _let_33 (not _let_37) _let_120 (not _let_38)))))) (let ((_let_126 (REFL :args (_let_102)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 5)) (CONG _let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_65)) :args ((or _let_40 _let_102))) _let_108 :args (_let_40 true _let_102)))) (let ((_let_128 (_let_96))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_128) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_128))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 4)) (CONG _let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_96))) :args _let_65)) :args ((or _let_96 _let_102))) _let_108 :args (_let_96 true _let_102)) :args (_let_42 false _let_96)))) (let ((_let_130 (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_36 _let_23 (not _let_42)))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_117) :args _let_58)) _let_59 :args (_let_43 false _let_4)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_44 false _let_4)))) (let ((_let_133 (forall ((A tptp.ty) (B tptp.ty) (M tptp.uni) (A1 tptp.uni) (A2 tptp.uni) (BOUND_VARIABLE_2619 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_2619) A2)))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.int tptp.int _let_12 _let_11 _let_16 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_133))) _let_134 :args (_let_47 false _let_133)))) (let ((_let_136 (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_39 _let_45 _let_24 (not _let_47)))))) (let ((_let_137 (= _let_22 _let_17))) (let ((_let_138 (* (- 1) _let_22))) (let ((_let_139 (= (+ _let_17 _let_138) 0))) (let ((_let_140 (_let_139))) (let ((_let_141 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_137)) :args _let_140))) (let ((_let_142 (ASSUME :args (_let_23)))) (let ((_let_143 (MACRO_SR_PRED_TRANSFORM _let_142 :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18 _let_138) 0))))) (let ((_let_144 (ASSUME :args (_let_24)))) (let ((_let_145 (MODUS_PONENS (AND_INTRO _let_93 _let_144) (SCOPE (CONG (TRANS (SYMM (SYMM _let_144)) (CONG _let_92 _let_92 (SYMM _let_94) _let_91 :args _let_90)) :args _let_88) :args (_let_15 _let_24))))) (let ((_let_146 (not _let_29))) (let ((_let_147 (not _let_20))) (let ((_let_148 (and _let_146 _let_147))) (let ((_let_149 (_let_146 _let_147))) (let ((_let_150 (ASSUME :args (_let_147)))) (let ((_let_151 (ASSUME :args (_let_146)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_148)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_151 _let_150) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_151 :args ((not (= _let_19 0)))) 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(tptp.t2tb U1))) (and (= W1 (tptp.tb2t (tptp.infix_plpl tptp.char _let_1 (tptp.t2tb V1)))) (tptp.dist1 V1 W2 K) (<= (+ K (tptp.length2 tptp.char _let_1)) (+ M 1))))))))) (forall ((W1 tptp.list_char) (W2 tptp.list_char) (N Int)) (=> (tptp.dist1 W1 W2 N) (tptp.dist1 W2 W1 N))) (forall ((W1 tptp.list_char) (W2 tptp.list_char) (M Int) (A tptp.char1)) (=> (tptp.dist1 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 A) (tptp.t2tb W1))) W2 M) (exists ((U2 tptp.list_char) (V2 tptp.list_char) (K Int)) (let ((_let_1 (tptp.t2tb U2))) (and (= W2 (tptp.tb2t (tptp.infix_plpl tptp.char _let_1 (tptp.t2tb V2)))) (tptp.dist1 W1 V2 K) (<= (+ K (tptp.length2 tptp.char _let_1)) (+ M 1))))))) (forall ((U tptp.list_char) (V tptp.list_char) (W tptp.list_char) (N Int)) (let ((_let_1 (tptp.t2tb U))) (=> (tptp.dist1 V W N) (tptp.dist1 (tptp.tb2t (tptp.infix_plpl tptp.char _let_1 (tptp.t2tb V))) W (+ (tptp.length2 tptp.char _let_1) N))))) (forall ((U tptp.list_char) (V tptp.list_char) (W tptp.list_char) (N Int)) (let ((_let_1 (tptp.t2tb U))) (=> (tptp.dist1 V W N) (tptp.dist1 V (tptp.tb2t (tptp.infix_plpl tptp.char _let_1 (tptp.t2tb W))) (+ (tptp.length2 tptp.char _let_1) N))))) (forall ((W1 tptp.list_char) (W2 tptp.list_char) (A tptp.char1) (N Int)) (let ((_let_1 (tptp.t2tb1 A))) (=> (tptp.min_dist1 W1 W2 N) (tptp.min_dist1 (tptp.tb2t (tptp.cons tptp.char _let_1 (tptp.t2tb W1))) (tptp.tb2t (tptp.cons tptp.char _let_1 (tptp.t2tb W2))) N)))) (forall ((W1 tptp.list_char) (W2 tptp.list_char) (A tptp.char1) (B tptp.char1) (M Int) (P Int)) (let ((_let_1 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 B) (tptp.t2tb W2))))) (let ((_let_2 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 A) (tptp.t2tb W1))))) (=> (not (= A B)) (=> (tptp.min_dist1 _let_2 W2 P) (=> (tptp.min_dist1 W1 _let_1 M) (tptp.min_dist1 _let_2 _let_1 (+ (tptp.min1 M P) 1)))))))) (forall ((W tptp.list_char) (A tptp.char1) (N Int)) (let ((_let_1 (tptp.tb2t (tptp.nil tptp.char)))) (=> (tptp.min_dist1 W _let_1 N) (tptp.min_dist1 (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 A) (tptp.t2tb W))) _let_1 (+ N 1))))) (forall ((W tptp.list_char)) (tptp.min_dist1 (tptp.tb2t (tptp.nil tptp.char)) W (tptp.length2 tptp.char (tptp.t2tb W)))) (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))) _let_6 _let_5 (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.length3 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))) (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))) (forall ((A tptp.ty) (U tptp.uni)) (= U (tptp.mk_array1 A (tptp.length3 A U) (tptp.elts A U)))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort1 A (tptp.get2 A X X1))) _let_4 _let_3 (forall ((J tptp.uni)) (= (tptp.t2tb2 (tptp.tb2t2 J)) J)) (forall ((A tptp.ty) (A1 tptp.uni) (I Int)) (= (tptp.get2 A A1 I) (tptp.get A tptp.int (tptp.elts A A1) (tptp.t2tb2 I)))) (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.length3 A A1) (tptp.set A tptp.int (tptp.elts A A1) (tptp.t2tb2 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_char)) (tptp.sort1 (tptp.array tptp.char) (tptp.t2tb3 X))) (forall ((I tptp.array_char)) (= (tptp.tb2t3 (tptp.t2tb3 I)) I)) (forall ((J tptp.uni)) (= (tptp.t2tb3 (tptp.tb2t3 J)) J)) (forall ((A tptp.array_char)) (= (tptp.suffix1 A (tptp.length3 tptp.char (tptp.t2tb3 A))) (tptp.tb2t (tptp.nil tptp.char)))) (forall ((A tptp.array_char) (I Int)) (let ((_let_1 (tptp.t2tb3 A))) (=> (and (<= 0 I) (< I (tptp.length3 tptp.char _let_1))) (= (tptp.suffix1 A I) (tptp.tb2t (tptp.cons tptp.char (tptp.get2 tptp.char _let_1 I) (tptp.t2tb (tptp.suffix1 A (+ I 1))))))))) (forall ((A tptp.array_char) (I Int)) (let ((_let_1 (tptp.length3 tptp.char (tptp.t2tb3 A)))) (=> (and (<= 0 I) (<= I _let_1)) (= (tptp.length2 tptp.char (tptp.t2tb (tptp.suffix1 A I))) (- _let_1 I))))) (forall ((A1 tptp.array_char) (A2 tptp.array_char) (I Int) (J Int) (N Int)) (= (tptp.min_suffix1 A1 A2 I J N) (tptp.min_dist1 (tptp.suffix1 A1 I) (tptp.suffix1 A2 J) N))) (forall ((X tptp.map_int_int)) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb5 X))) (forall ((I tptp.map_int_int)) (= (tptp.tb2t5 (tptp.t2tb5 I)) I)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.60/32.79 )
% 32.60/32.79 % SZS output end Proof for SWW589_2
% 32.60/32.79 % cvc5---1.0.5 exiting
% 32.60/32.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------