TSTP Solution File: SWW671_2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW671_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 00:21:54 EDT 2023
% Result : Theorem 46.64s 47.03s
% Output : Proof 46.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW671_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 21:40:58 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.47 %----Proving TF0_ARI
% 46.64/47.03 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bBq8rNsoBz/cvc5---1.0.5_10734.p...
% 46.64/47.03 ------- get file name : TPTP file name is SWW671_2
% 46.64/47.03 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10734.smt2...
% 46.64/47.03 --- Run --finite-model-find --decision=internal at 15...
% 46.64/47.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 46.64/47.03 --- Run --no-e-matching --full-saturate-quant at 15...
% 46.64/47.03 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 46.64/47.03 % SZS status Theorem for SWW671_2
% 46.64/47.03 % SZS output start Proof for SWW671_2
% 46.64/47.03 (
% 46.64/47.03 (let ((_let_1 (not (forall ((I Int)) (let ((_let_1 (tptp.nil tptp.int))) (let ((_let_2 (tptp.tb2t1 _let_1))) (let ((_let_3 (+ I (tptp.length1 tptp.int _let_1)))) (and (or (and (<= I I) (< I _let_3) (tptp.zero_at1 _let_2 (- I I))) (and (= I _let_3) (tptp.no_zero1 _let_2))) (forall ((X Int) (X1 tptp.list_int)) (let ((_let_1 (tptp.cons tptp.int (tptp.t2tb2 X) (tptp.t2tb1 X1)))) (let ((_let_2 (tptp.tb2t1 _let_1))) (let ((_let_3 (= X 0))) (let ((_let_4 (+ I (tptp.length1 tptp.int _let_1)))) (and (=> _let_3 (or (and (<= I I) (< I _let_4) (tptp.zero_at1 _let_2 (- I I))) (and (= I _let_4) (tptp.no_zero1 _let_2)))) (=> (not _let_3) (and (not (= _let_2 (tptp.tb2t1 (tptp.nil tptp.int)))) (forall ((X2 Int) (X3 tptp.list_int)) (=> (= (tptp.tb2t1 (tptp.cons tptp.int (tptp.t2tb2 X) (tptp.t2tb1 X1))) (tptp.tb2t1 (tptp.cons tptp.int (tptp.t2tb2 X2) (tptp.t2tb1 X3)))) (= X3 X1))) (forall ((Result Int)) (let ((_let_1 (tptp.t2tb1 X1))) (let ((_let_2 (tptp.cons tptp.int (tptp.t2tb2 X) _let_1))) (let ((_let_3 (tptp.tb2t1 _let_2))) (let ((_let_4 (+ I (tptp.length1 tptp.int _let_2)))) (let ((_let_5 (+ I 1))) (let ((_let_6 (+ _let_5 (tptp.length1 tptp.int _let_1)))) (=> (or (and (<= _let_5 Result) (< Result _let_6) (tptp.zero_at1 X1 (- Result _let_5))) (and (= Result _let_6) (tptp.no_zero1 X1))) (or (and (<= I Result) (< Result _let_4) (tptp.zero_at1 _let_3 (- Result I))) (and (= Result _let_4) (tptp.no_zero1 _let_3))))))))))))))))))))))))))) (let ((_let_2 (forall ((L tptp.list_int)) (= (tptp.no_zero1 L) (forall ((J Int)) (let ((_let_1 (tptp.t2tb1 L))) (=> (and (<= 0 J) (< J (tptp.length1 tptp.int _let_1))) (not (= (tptp.tb2t (tptp.nth1 tptp.int J _let_1)) (tptp.tb2t (tptp.some tptp.int (tptp.t2tb2 0)))))))))))) (let ((_let_3 (forall ((L tptp.list_int) (I Int)) (= (tptp.zero_at1 L I) (and (= (tptp.tb2t (tptp.nth1 tptp.int I (tptp.t2tb1 L))) (tptp.tb2t (tptp.some tptp.int (tptp.t2tb2 0)))) (forall ((J Int)) (=> (and (<= 0 J) (< J I)) (not (= (tptp.tb2t (tptp.nth1 tptp.int J (tptp.t2tb1 L))) (tptp.tb2t (tptp.some tptp.int (tptp.t2tb2 0)))))))))))) (let ((_let_4 (forall ((I Int)) (= (tptp.tb2t2 (tptp.t2tb2 I)) I)))) (let ((_let_5 (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb2 X))))) (let ((_let_6 (forall ((J tptp.uni)) (= (tptp.t2tb1 (tptp.tb2t1 J)) J)))) (let ((_let_7 (forall ((I tptp.list_int)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)))) (let ((_let_8 (forall ((J tptp.uni)) (= (tptp.t2tb (tptp.tb2t J)) J)))) (let ((_let_9 (forall ((A tptp.ty) (N Int)) (and (= (tptp.nth1 A N (tptp.nil A)) (tptp.none A)) (forall ((X tptp.uni) (X1 tptp.uni)) (let ((_let_1 (tptp.nth1 A N (tptp.cons A X X1)))) (let ((_let_2 (= N 0))) (and (=> _let_2 (= _let_1 (tptp.some A X))) (=> (not _let_2) (= _let_1 (tptp.nth1 A (- N 1) X1))))))))))) (let ((_let_10 (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.some_proj_11 A (tptp.some A U)) U))))) (let ((_let_11 (forall ((A tptp.ty) (V tptp.uni)) (not (= (tptp.none A) (tptp.some A V)))))) (let ((_let_12 (forall ((A tptp.ty) (L tptp.uni)) (= (= (tptp.length1 A L) 0) (= L (tptp.nil A)))))) (let ((_let_13 (forall ((A tptp.ty) (L tptp.uni)) (<= 0 (tptp.length1 A L))))) (let ((_let_14 (forall ((A tptp.ty)) (and (= (tptp.length1 A (tptp.nil A)) 0) (forall ((X tptp.uni) (X1 tptp.uni)) (= (tptp.length1 A (tptp.cons A X X1)) (+ 1 (tptp.length1 A X1)))))))) (let ((_let_15 (forall ((A tptp.ty) (U tptp.uni) (U1 tptp.uni)) (= (tptp.cons_proj_21 A (tptp.cons A U U1)) U1)))) (let ((_let_16 (forall ((A tptp.ty) (V tptp.uni) (V1 tptp.uni)) (not (= (tptp.nil A) (tptp.cons A V V1)))))) (let ((_let_17 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116))) (let ((_let_18 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115))) (let ((_let_19 (tptp.cons tptp.int _let_18 _let_17))) (let ((_let_20 (tptp.tb2t1 _let_19))) (let ((_let_21 (tptp.t2tb1 _let_20))) (let ((_let_22 (= _let_19 _let_21))) (let ((_let_23 (tptp.nth1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132 _let_21))) (let ((_let_24 (tptp.tb2t _let_23))) (let ((_let_25 (tptp.t2tb2 0))) (let ((_let_26 (tptp.some tptp.int _let_25))) (let ((_let_27 (tptp.tb2t _let_26))) (let ((_let_28 (= _let_27 _let_24))) (let ((_let_29 (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132))) (let ((_let_30 (tptp.nth1 tptp.int _let_29 _let_17))) (let ((_let_31 (= _let_27 (tptp.tb2t _let_30)))) (let ((_let_32 (= (tptp.nth1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132 _let_19) _let_30))) (let ((_let_33 (forall ((J tptp.uni)) (= J (tptp.t2tb1 (tptp.tb2t1 J)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_34 :args (_let_22 false _let_33)))) (let ((_let_37 (not _let_28))) (let ((_let_38 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117))) (let ((_let_39 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132))) (let ((_let_40 (>= _let_39 0))) (let ((_let_41 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132 0))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_37))) (let ((_let_44 (forall ((J Int)) (or (not (>= J 0)) (>= (+ J SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117)) 0) (not (= (tptp.tb2t (tptp.some tptp.int (tptp.t2tb2 0))) (tptp.tb2t (tptp.nth1 tptp.int J (tptp.t2tb1 (tptp.tb2t1 (tptp.cons tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115) (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116)))))))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (= _let_27 (tptp.tb2t (tptp.nth1 tptp.int SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 _let_21))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142) 0))) (let ((_let_49 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 0))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_47))) (let ((_let_52 (not _let_44))) (let ((_let_53 (not _let_51))) (let ((_let_54 (tptp.length1 tptp.int _let_21))) (let ((_let_55 (* (- 1) _let_54))) (let ((_let_56 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_142 _let_55))) (let ((_let_57 (>= _let_56 0))) (let ((_let_58 (tptp.length1 tptp.int _let_19))) (let ((_let_59 (tptp.length1 tptp.int _let_17))) (let ((_let_60 (= _let_59 (+ (- 1) _let_58)))) (let ((_let_61 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_38 _let_59))) (let ((_let_62 (>= _let_61 0))) (let ((_let_63 (not _let_48))) (let ((_let_64 (or _let_50 _let_57 _let_47))) (let ((_let_65 (not _let_57))) (let ((_let_66 (forall ((J Int)) (let ((_let_1 (tptp.t2tb1 (tptp.tb2t1 (tptp.cons tptp.int (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115) (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116)))))) (or (not (>= J 0)) (>= (+ J (* (- 1) (tptp.length1 tptp.int _let_1))) 0) (not (= (tptp.tb2t (tptp.some tptp.int (tptp.t2tb2 0))) (tptp.tb2t (tptp.nth1 tptp.int J _let_1))))))))) (let ((_let_67 (not _let_64))) (let ((_let_68 (tptp.no_zero1 _let_20))) (let ((_let_69 (= _let_68 _let_66))) (let ((_let_70 (not _let_66))) (let ((_let_71 (forall ((L tptp.list_int)) (= (tptp.no_zero1 L) (forall ((J Int)) (let ((_let_1 (tptp.t2tb1 L))) (or (not (>= J 0)) (>= (+ J (* (- 1) (tptp.length1 tptp.int _let_1))) 0) (not (= (tptp.tb2t (tptp.some tptp.int (tptp.t2tb2 0))) (tptp.tb2t (tptp.nth1 tptp.int J _let_1))))))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((tptp.no_zero1 L)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_69 false _let_71)))) (let ((_let_76 (* (- 1) _let_58))) (let ((_let_77 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117 _let_76)))) (let ((_let_78 (and _let_77 _let_68))) (let ((_let_79 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_38 _let_58))) (let ((_let_80 (>= _let_79 1))) (let ((_let_81 (* (- 1) _let_59))) (let ((_let_82 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 (+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117 _let_81)))) (let ((_let_83 (forall ((BOUND_VARIABLE_1177 tptp.ty) (X tptp.uni) (X1 tptp.uni)) (= (tptp.length1 BOUND_VARIABLE_1177 (tptp.cons BOUND_VARIABLE_1177 X X1)) (+ 1 (tptp.length1 BOUND_VARIABLE_1177 X1)))))) (let ((_let_84 (1))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_83))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args (tptp.int _let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons BOUND_VARIABLE_1177 X X1)))) :args _let_86))) (AND_ELIM _let_85 :args _let_84) :args (_let_60 false _let_83)))) (let ((_let_88 (not _let_80))) (let ((_let_89 (tptp.no_zero1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116))) (let ((_let_90 (not _let_89))) (let ((_let_91 (not _let_82))) (let ((_let_92 (or _let_91 _let_90))) (let ((_let_93 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114))) (let ((_let_94 (+ (- 1) _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117))) (let ((_let_95 (tptp.zero_at1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 _let_94))) (let ((_let_96 (not _let_95))) (let ((_let_97 (not _let_62))) (let ((_let_98 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 _let_38))) (let ((_let_99 (>= _let_98 0))) (let ((_let_100 (or _let_99 _let_97 _let_96))) (let ((_let_101 (and _let_100 _let_92))) (let ((_let_102 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_114 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117))) (let ((_let_103 (>= _let_98 1))) (let ((_let_104 (+ _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_117))) (let ((_let_105 (tptp.nth1 tptp.int _let_94 _let_17))) (let ((_let_106 (= _let_105 (tptp.nth1 tptp.int _let_104 _let_19)))) (let ((_let_107 (or _let_102 _let_106))) (let ((_let_108 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132 1))) (let ((_let_109 (or))) (let ((_let_110 ((not _let_102)))) (let ((_let_111 (not _let_99))) (let ((_let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_99))))) (let ((_let_113 (_let_111))) (let ((_let_114 (= _let_98 0))) (let ((_let_115 (_let_114))) (let ((_let_116 (false))) (let ((_let_117 ((- 1.0) 1.0))) (let ((_let_118 (ASSUME :args _let_113))) (let ((_let_119 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_118 :args ((< _let_98 0)))))) (let ((_let_120 (not _let_103))) (let ((_let_121 (_let_120))) (let ((_let_122 (_let_103))) (let ((_let_123 (forall ((BOUND_VARIABLE_1288 tptp.ty) (BOUND_VARIABLE_1290 Int) (BOUND_VARIABLE_1326 tptp.uni) (BOUND_VARIABLE_1324 tptp.uni)) (or (= BOUND_VARIABLE_1290 0) (= (tptp.nth1 BOUND_VARIABLE_1288 BOUND_VARIABLE_1290 (tptp.cons BOUND_VARIABLE_1288 BOUND_VARIABLE_1324 BOUND_VARIABLE_1326)) (tptp.nth1 BOUND_VARIABLE_1288 (+ (- 1) BOUND_VARIABLE_1290) BOUND_VARIABLE_1326)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (AND_ELIM _let_124 :args (2)))) (let ((_let_126 (_let_123))) (let ((_let_127 ((tptp.nth1 BOUND_VARIABLE_1288 BOUND_VARIABLE_1290 (tptp.cons BOUND_VARIABLE_1288 BOUND_VARIABLE_1324 BOUND_VARIABLE_1326))))) (let ((_let_128 (ASSUME :args _let_126))) (let ((_let_129 (tptp.zero_at1 _let_20 _let_104))) (let ((_let_130 (and _let_120 _let_80 _let_129))) (let ((_let_131 (or _let_101 _let_130 _let_78))) (let ((_let_132 (not _let_108))) (let ((_let_133 (not _let_106))) (let ((_let_134 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_118))) (let ((_let_135 (tptp.t2tb1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_118))) (let ((_let_136 (tptp.t2tb2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_119))) (let ((_let_137 (tptp.cons tptp.int _let_136 _let_135))) (let ((_let_138 (tptp.tb2t1 _let_137))) (let ((_let_139 (= _let_20 _let_138))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_134))) (let ((_let_142 (tptp.nil tptp.int))) (let ((_let_143 (tptp.tb2t1 _let_142))) (let ((_let_144 (= _let_143 _let_20))) (let ((_let_145 (not _let_144))) (let ((_let_146 (and _let_145 _let_141 _let_131))) (let ((_let_147 (not _let_131))) (let ((_let_148 (= _let_137 (tptp.t2tb1 _let_138)))) (let ((_let_149 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 (tptp.tb2t1 _let_17)))) (let ((_let_150 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_118 (tptp.tb2t1 _let_135)))) (let ((_let_151 (= _let_17 (tptp.cons_proj_21 tptp.int _let_19)))) (let ((_let_152 (= _let_135 (tptp.cons_proj_21 tptp.int _let_137)))) (let ((_let_153 (forall ((I tptp.list_int)) (= I (tptp.tb2t1 (tptp.t2tb1 I)))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (_let_153))) (let ((_let_156 (forall ((A tptp.ty) (U tptp.uni) (U1 tptp.uni)) (= U1 (tptp.cons_proj_21 A (tptp.cons A U U1)))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (_let_156))) (let ((_let_159 ((tptp.cons A U U1)))) (let ((_let_160 (not _let_22))) (let ((_let_161 (and _let_139 _let_22 _let_148 _let_149 _let_150 _let_151 _let_152))) (let ((_let_162 (ASSUME :args (_let_150)))) (let ((_let_163 (ASSUME :args (_let_152)))) (let ((_let_164 (ASSUME :args (_let_148)))) (let ((_let_165 (APPLY_UF tptp.t2tb1))) (let ((_let_166 (ASSUME :args (_let_139)))) (let ((_let_167 (_let_22))) (let ((_let_168 (ASSUME :args _let_167))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (REFL :args (tptp.int)))) (let ((_let_172 (ASSUME :args (_let_151)))) (let ((_let_173 (ASSUME :args (_let_149)))) (let ((_let_174 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_115 0))) (let ((_let_175 (or _let_174 _let_146))) (let ((_let_176 (forall ((BOUND_VARIABLE_1646 Int) (BOUND_VARIABLE_1520 Int) (BOUND_VARIABLE_1522 tptp.list_int) (BOUND_VARIABLE_1603 Int) (BOUND_VARIABLE_1593 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_20 _let_104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_199))) _let_198 :args (_let_308 false _let_197)))) (let ((_let_327 (REORDERING (CNF_EQUIV_POS2 :args (_let_308)) :args ((or _let_129 (not _let_307) (not _let_308)))))) (let ((_let_328 (_let_91))) (let ((_let_329 (= _let_61 (- 1)))) (let ((_let_330 (_let_329))) (let ((_let_331 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_316 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_330) _let_316 :args _let_297) :args _let_116) :args _let_330) :args ((not _let_329))) :args _let_328) :args _let_315)) :args _let_315)))) (let ((_let_332 (REFL :args (_let_92)))) (let ((_let_333 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_92 0)) (CONG _let_332 (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_82))) :args _let_109)) :args ((or _let_82 _let_92))))) (let 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(REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_92 1)) (CONG _let_332 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_109)) :args ((or _let_89 _let_92))))) (let ((_let_361 (ASSUME :args (_let_82)))) (let ((_let_362 (MACRO_SR_PRED_TRANSFORM _let_361 :args _let_330))) (let ((_let_363 (_let_80))) (let ((_let_364 (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_363) :args _let_363) _let_362 _let_318 :args ((- 1.0) 1.0 (- 1.0))) :args _let_116) :args (_let_82 _let_60 _let_80))) :args ((or _let_91 _let_314 _let_88))) :args ((or _let_91 _let_88 _let_314))))) (let ((_let_365 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_116 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_288 false _let_71)))) (let ((_let_366 (REORDERING (CNF_EQUIV_POS1 :args (_let_288)) :args ((or _let_90 _let_287 (not 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_let_64))))) (let ((_let_405 (MACRO_RESOLUTION_TRUST _let_305 _let_284 :args ((not _let_78) true _let_131)))) (let ((_let_406 (MACRO_RESOLUTION_TRUST _let_373 _let_87 _let_364 _let_87 _let_376 _let_405 _let_333 _let_377 _let_75 _let_334 _let_403 _let_379 _let_359 _let_404 _let_357 _let_403 _let_402 (MACRO_RESOLUTION_TRUST _let_401 _let_394 _let_356 _let_36 _let_351 _let_349 _let_348 _let_393 _let_391 _let_390 _let_87 _let_36 _let_382 _let_380 _let_379 _let_377 _let_75 _let_376 _let_375 _let_373 _let_87 _let_366 _let_365 _let_364 _let_87 _let_360 _let_333 _let_334 _let_359 _let_357 _let_305 _let_304 _let_303 _let_302 _let_301 _let_125 _let_300 :args ((or _let_103 _let_131 _let_133 _let_132 _let_50) false _let_291 false _let_31 false _let_22 false _let_28 true _let_40 true _let_43 true _let_44 true _let_51 true _let_48 false _let_60 false _let_22 false _let_46 true _let_57 true _let_64 true _let_66 false _let_69 true _let_68 false _let_292 false _let_77 false _let_60 false _let_287 false 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_let_407)))) (let ((_let_460 (and _let_407 _let_22 _let_28 _let_408 _let_285))) (let ((_let_461 (= 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132))) (let ((_let_462 (ASSUME :args (_let_408)))) (let ((_let_463 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_460)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_168 (MODUS_PONENS _let_299 (SCOPE (SYMM _let_299) :args _let_296)) _let_462 _let_354 _let_454) (SCOPE (CONG (TRANS _let_455 (CONG _let_355 :args _let_452) (SYMM _let_462) (CONG _let_171 (SYMM (ASSUME :args (_let_461))) _let_169 :args _let_213) (CONG _let_171 _let_216 _let_170 :args _let_213)) :args _let_212) :args (_let_22 _let_461 _let_408 _let_28 _let_407))) :args (_let_407 _let_22 _let_28 _let_408 _let_285))) :args (true _let_460)) :args ((or _let_444 _let_160 _let_411 _let_37 (not _let_408) _let_293))))) (let ((_let_464 (ASSUME :args _let_295))) (let ((_let_465 (_let_41 _let_132))) (let ((_let_466 (ASSUME :args (_let_132)))) (let ((_let_467 (ASSUME :args (_let_41)))) (let ((_let_468 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_467 _let_466) (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (SYMM (ARITH_TRICHOTOMY _let_467 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_466 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_132 1)))) :args _let_296)) :args _let_465) (TRUE_INTRO _let_467) (TRUE_INTRO _let_466) :args _let_296) :args _let_465)) _let_464) :args (_let_41 _let_293 _let_132)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM _let_299 :args _let_296) :args _let_296) _let_464) :args (_let_285 _let_293)) :args ((not (and _let_41 _let_293 _let_132)) SB_LITERAL))) (CONG (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_293) _let_285))) (MACRO_SR_PRED_INTRO :args ((= (not _let_132) _let_108))) :args _let_109)) _let_463 _let_459 _let_417 _let_36 _let_416 _let_351 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_350 (MACRO_SR_PRED_INTRO :args ((= (not 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_let_463 _let_416 _let_36 _let_459 _let_473 _let_417 :args (_let_293 false _let_407 false _let_22 true _let_411 false _let_28 false _let_408)) (MACRO_RESOLUTION_TRUST _let_301 _let_125 :args (_let_286 false _let_123)) :args (_let_32 true _let_285 false _let_286)) (MACRO_RESOLUTION_TRUST _let_394 (MACRO_RESOLUTION_TRUST _let_468 _let_472 :args (_let_108 true _let_43)) (MACRO_RESOLUTION_TRUST _let_401 _let_470 (MACRO_RESOLUTION_TRUST _let_349 _let_472 :args (_let_397 true _let_43)) :args (_let_395 false _let_82 true _let_40)) (MACRO_RESOLUTION_TRUST _let_375 (MACRO_RESOLUTION_TRUST _let_366 (MACRO_RESOLUTION_TRUST _let_360 _let_469 :args (_let_89 true _let_92)) _let_365 :args (_let_287 false _let_89 false _let_288)) :args (_let_292 false _let_287)) :args (_let_289 false _let_108 true _let_291 false _let_292)) _let_473 _let_36 :args (false false _let_32 true _let_31 false _let_28 false _let_22)) :args ((forall ((A tptp.ty)) (tptp.sort1 A (tptp.witness1 A))) (forall ((A tptp.ty) (X tptp.bool1) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A (tptp.match_bool1 A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z) (= (tptp.match_bool1 A tptp.true1 Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z1) (= (tptp.match_bool1 A tptp.false1 Z Z1) Z1))) (not (= tptp.true1 tptp.false1)) (forall ((U tptp.bool1)) (or (= U tptp.true1) (= U tptp.false1))) (forall ((U tptp.tuple02)) (= U tptp.tuple03)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A tptp.ty)) (tptp.sort1 (tptp.list A) (tptp.nil A))) (forall ((A tptp.ty) (X tptp.uni) (X1 tptp.uni)) (tptp.sort1 (tptp.list A) (tptp.cons A X X1))) (forall ((A tptp.ty) (A1 tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A1 (tptp.match_list1 A1 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A1 Z) (= (tptp.match_list1 A1 A (tptp.nil A) Z Z1) Z))) (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (U tptp.uni) (U1 tptp.uni)) (=> (tptp.sort1 A1 Z1) (= (tptp.match_list1 A1 A (tptp.cons A U U1) Z Z1) Z1))) _let_16 (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.cons_proj_11 A X))) (forall ((A tptp.ty) (U tptp.uni) (U1 tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.cons_proj_11 A (tptp.cons A U U1)) U))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.list A) (tptp.cons_proj_21 A X))) _let_15 (forall ((A tptp.ty) (U tptp.uni)) (or (= U (tptp.nil A)) (= U (tptp.cons A (tptp.cons_proj_11 A U) (tptp.cons_proj_21 A U))))) _let_14 _let_13 _let_12 (forall ((A tptp.ty)) (tptp.sort1 (tptp.option A) (tptp.none A))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.option A) (tptp.some A X))) (forall ((A tptp.ty) (A1 tptp.ty) (X tptp.uni) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A1 (tptp.match_option1 A1 A X X1 X2))) (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A1 Z) (= (tptp.match_option1 A1 A (tptp.none A) Z Z1) Z))) (forall ((A tptp.ty) (A1 tptp.ty) (Z tptp.uni) (Z1 tptp.uni) (U tptp.uni)) (=> (tptp.sort1 A1 Z1) (= (tptp.match_option1 A1 A (tptp.some A U) Z Z1) Z1))) _let_11 (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.some_proj_11 A X))) _let_10 (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 (tptp.option A) U) (or (= U (tptp.none A)) (= U (tptp.some A (tptp.some_proj_11 A U)))))) (forall ((A tptp.ty) (X Int) (X1 tptp.uni)) (tptp.sort1 (tptp.option A) (tptp.nth1 A X X1))) _let_9 (forall ((X tptp.option_int)) (tptp.sort1 (tptp.option tptp.int) (tptp.t2tb X))) (forall ((I tptp.option_int)) (= (tptp.tb2t (tptp.t2tb I)) I)) _let_8 (forall ((X tptp.list_int)) (tptp.sort1 (tptp.list tptp.int) (tptp.t2tb1 X))) _let_7 _let_6 _let_5 _let_4 (forall ((J tptp.uni)) (= (tptp.t2tb2 (tptp.tb2t2 J)) J)) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.64/47.03 )
% 46.64/47.03 % SZS output end Proof for SWW671_2
% 46.64/47.03 % cvc5---1.0.5 exiting
% 46.64/47.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------