TSTP Solution File: SWW578_2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW578_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 00:21:35 EDT 2023
% Result : Theorem 0.81s 1.26s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW578_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.19/0.36 % Computer : n025.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Sun Aug 27 18:03:24 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.23/0.50 %----Proving TF0_ARI
% 0.81/1.26 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JwDPMeDOFu/cvc5---1.0.5_24047.p...
% 0.81/1.26 ------- get file name : TPTP file name is SWW578_2
% 0.81/1.26 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24047.smt2...
% 0.81/1.26 --- Run --finite-model-find --decision=internal at 15...
% 0.81/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.81/1.26 % SZS status Theorem for SWW578_2
% 0.81/1.26 % SZS output start Proof for SWW578_2
% 0.81/1.26 (
% 0.81/1.26 (let ((_let_1 (not (forall ((A tptp.int321) (A1 tptp.map_int_int32) (V tptp.int321)) (=> (and (<= 0 (tptp.to_int1 A)) (forall ((I1 Int) (I2 Int)) (=> (and (<= 0 I1) (<= I1 I2) (< I2 (tptp.to_int1 A))) (<= (tptp.to_int1 (tptp.get3 A1 I1)) (tptp.to_int1 (tptp.get3 A1 I2)))))) (and (tptp.in_bounds1 0) (forall ((O tptp.int321)) (=> (= (tptp.to_int1 O) 0) (and (tptp.in_bounds1 1) (forall ((O1 tptp.int321)) (let ((_let_1 (tptp.to_int1 O1))) (=> (= _let_1 1) (and (tptp.in_bounds1 (- (tptp.to_int1 A) _let_1)) (forall ((O2 tptp.int321)) (let ((_let_1 (tptp.to_int1 A))) (let ((_let_2 (tptp.to_int1 O2))) (=> (= _let_2 (- _let_1 (tptp.to_int1 O1))) (and (<= 0 (tptp.to_int1 O)) (< _let_2 _let_1) (forall ((I Int)) (=> (and (<= 0 I) (< I (tptp.to_int1 A))) (=> (= (tptp.get3 A1 I) V) (and (<= (tptp.to_int1 O) I) (<= I (tptp.to_int1 O2)))))) (forall ((U tptp.int321) (L tptp.int321)) (=> (and (<= 0 (tptp.to_int1 L)) (< (tptp.to_int1 U) (tptp.to_int1 A)) (forall ((I Int)) (=> (and (<= 0 I) (< I (tptp.to_int1 A))) (=> (= (tptp.get3 A1 I) V) (and (<= (tptp.to_int1 L) I) (<= I (tptp.to_int1 U))))))) (forall ((Result tptp.bool1)) (let ((_let_1 (= Result tptp.true1))) (=> (= _let_1 (<= (tptp.to_int1 L) (tptp.to_int1 U))) (and (=> _let_1 (and (tptp.in_bounds1 2) (forall ((O3 tptp.int321)) (=> (= (tptp.to_int1 O3) 2) (and (tptp.in_bounds1 (- (tptp.to_int1 U) (tptp.to_int1 L))) (forall ((O4 tptp.int321)) (let ((_let_1 (tptp.to_int1 O3))) (let ((_let_2 (tptp.to_int1 O4))) (=> (= _let_2 (- (tptp.to_int1 U) (tptp.to_int1 L))) (and (not (= _let_1 0)) (tptp.in_bounds1 (tptp.div1 _let_2 _let_1)) (forall ((O5 tptp.int321)) (let ((_let_1 (tptp.to_int1 O5))) (=> (= _let_1 (tptp.div1 (tptp.to_int1 O4) (tptp.to_int1 O3))) (and (tptp.in_bounds1 (+ (tptp.to_int1 L) _let_1)) (forall ((M tptp.int321)) (let ((_let_1 (tptp.to_int1 M))) (let ((_let_2 (tptp.to_int1 L))) (=> (= _let_1 (+ _let_2 (tptp.to_int1 O5))) (and (<= _let_2 _let_1) (<= _let_1 (tptp.to_int1 U)) (<= 0 _let_1) (< _let_1 (tptp.to_int1 A)) (forall ((Result1 tptp.bool1)) (let ((_let_1 (tptp.to_int1 M))) (let ((_let_2 (= Result1 tptp.true1))) (=> (= _let_2 (< (tptp.to_int1 (tptp.get3 A1 _let_1)) (tptp.to_int1 V))) (and (=> _let_2 (and (tptp.in_bounds1 1) (forall ((O6 tptp.int321)) (let ((_let_1 (tptp.to_int1 O6))) (=> (= _let_1 1) (and (tptp.in_bounds1 (+ (tptp.to_int1 M) _let_1)) (forall ((O7 tptp.int321)) (=> (= (tptp.to_int1 O7) (+ (tptp.to_int1 M) (tptp.to_int1 O6))) (forall ((L1 tptp.int321)) (let ((_let_1 (tptp.to_int1 U))) (let ((_let_2 (- _let_1 (tptp.to_int1 L)))) (let ((_let_3 (tptp.to_int1 L1))) (=> (= L1 O7) (and (<= 0 _let_3) (< _let_1 (tptp.to_int1 A)) (forall ((I Int)) (=> (and (<= 0 I) (< I (tptp.to_int1 A))) (=> (= (tptp.get3 A1 I) V) (and (<= (tptp.to_int1 L1) I) (<= I (tptp.to_int1 U)))))) (<= 0 _let_2) (< (- _let_1 _let_3) _let_2))))))))))))))) (=> (not _let_2) (and (<= 0 _let_1) (< _let_1 (tptp.to_int1 A)) (forall ((Result2 tptp.bool1)) (let ((_let_1 (tptp.to_int1 M))) (let ((_let_2 (tptp.get3 A1 _let_1))) (let ((_let_3 (= Result2 tptp.true1))) (=> (= _let_3 (< (tptp.to_int1 V) (tptp.to_int1 _let_2))) (and (=> _let_3 (and (tptp.in_bounds1 1) (forall ((O6 tptp.int321)) (let ((_let_1 (tptp.to_int1 O6))) (=> (= _let_1 1) (and (tptp.in_bounds1 (- (tptp.to_int1 M) _let_1)) (forall ((O7 tptp.int321)) (=> (= (tptp.to_int1 O7) (- (tptp.to_int1 M) (tptp.to_int1 O6))) (forall ((U1 tptp.int321)) (let ((_let_1 (tptp.to_int1 L))) (let ((_let_2 (- (tptp.to_int1 U) _let_1))) (let ((_let_3 (tptp.to_int1 U1))) (=> (= U1 O7) (and (<= 0 _let_1) (< _let_3 (tptp.to_int1 A)) (forall ((I Int)) (=> (and (<= 0 I) (< I (tptp.to_int1 A))) (=> (= (tptp.get3 A1 I) V) (and (<= (tptp.to_int1 L) I) (<= I (tptp.to_int1 U1)))))) (<= 0 _let_2) (< (- _let_3 _let_1) _let_2))))))))))))))) (=> (not _let_3) (and (<= 0 _let_1) (< _let_1 (tptp.to_int1 A)) (= _let_2 V))))))))))))))))))))))))))))))))))) (=> (not _let_1) (forall ((I Int)) (=> (and (<= 0 I) (< I (tptp.to_int1 A))) (not (= (tptp.get3 A1 I) V))))))))))))))))))))))))))))) (let ((_let_2 (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< 0 Y)) (<= 0 (tptp.div1 X Y)))))) (let ((_let_3 (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.div1 X Y))) (=> (and (<= 0 X) (< 0 Y)) (and (<= 0 _let_1) (<= _let_1 X))))))) (let ((_let_4 (forall ((X tptp.int321) (Y tptp.int321)) (=> (= (tptp.to_int1 X) (tptp.to_int1 Y)) (= X Y))))) (let ((_let_5 (forall ((N tptp.int321)) (tptp.in_bounds1 (tptp.to_int1 N))))) (let ((_let_6 (forall ((N Int)) (= (tptp.in_bounds1 N) (and (<= (- 2147483648) N) (<= N 2147483647)))))) (let ((_let_7 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_9 (tptp.to_int1 _let_8))) (let ((_let_10 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (+ _let_10 (* (- 1) _let_9)))) (let ((_let_12 (>= _let_11 1))) (let ((_let_13 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_13))) (let ((_let_15 (tptp.to_int1 _let_13))) (let ((_let_16 (* (- 1) _let_15))) (let ((_let_17 (>= (+ _let_9 _let_16) 0))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8))) (let ((_let_19 (* (- 1) _let_7))) (let ((_let_20 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (+ _let_20 _let_19))) (let ((_let_22 (>= _let_21 1))) (let ((_let_23 (>= _let_7 0))) (let ((_let_24 (and _let_23 _let_22 _let_18))) (let ((_let_25 (= tptp.true1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_28 (* (- 1) _let_27))) (let ((_let_29 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_30 (+ _let_29 _let_28))) (let ((_let_31 (>= _let_30 1))) (let ((_let_32 (* (- 1) _let_29))) (let ((_let_33 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_34 (+ _let_33 _let_32))) (let ((_let_35 (>= _let_34 1))) (let ((_let_36 (not _let_35))) (let ((_let_37 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_28))) (let ((_let_38 (>= _let_37 1))) (let ((_let_39 (not _let_38))) (let ((_let_40 (* (- 1) _let_33))) (let ((_let_41 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_40) 0))) (let ((_let_42 (and _let_41 _let_39))) (let ((_let_43 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_43))) (let ((_let_45 (not _let_44))) (let ((_let_46 (* (- 1) _let_20))) (let ((_let_47 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_46) 0))) (let ((_let_48 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 0))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_45 _let_42))) (let ((_let_51 (+ _let_20 _let_28))) (let ((_let_52 (>= _let_51 1))) (let ((_let_53 (>= _let_33 0))) (let ((_let_54 (and _let_53 _let_52 _let_50 _let_36 _let_31))) (let ((_let_55 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_56 (= _let_7 (+ _let_55 _let_27)))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_54))) (let ((_let_59 (* (- 1) _let_55))) (let ((_let_60 (+ _let_7 _let_59))) (let ((_let_61 (tptp.in_bounds1 _let_60))) (let ((_let_62 (and _let_61 _let_58))) (let ((_let_63 (= _let_55 1))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (tptp.in_bounds1 1))) (let ((_let_67 (and _let_66 _let_65))) (let ((_let_68 (not _let_25))) (let ((_let_69 (or _let_68 _let_67))) (let ((_let_70 (and _let_69 _let_26))) (let ((_let_71 (>= _let_11 0))) (let ((_let_72 (not _let_71))) (let ((_let_73 (= _let_68 _let_72))) (let ((_let_74 (or _let_73 _let_70))) (let ((_let_75 (and _let_23 _let_22 _let_74))) (let ((_let_76 (= tptp.true1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_77 (or _let_76 _let_75))) (let ((_let_78 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_79 (* (- 1) _let_78))) (let ((_let_80 (+ _let_33 _let_79))) (let ((_let_81 (>= _let_80 0))) (let ((_let_82 (not _let_81))) (let ((_let_83 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_32) 1))) (let ((_let_84 (not _let_83))) (let ((_let_85 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_79))) (let ((_let_86 (>= _let_85 0))) (let ((_let_87 (and _let_86 _let_84))) (let ((_let_88 (not _let_14))) (let ((_let_89 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_46) 0))) (let ((_let_90 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 0))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89 _let_88 _let_87))) (let ((_let_93 (+ _let_20 _let_32))) (let ((_let_94 (>= _let_93 1))) (let ((_let_95 (>= _let_78 0))) (let ((_let_96 (and _let_95 _let_94 _let_92 _let_36 _let_82))) (let ((_let_97 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_98 (= _let_7 (+ (* (- 1) _let_97) _let_78)))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_96))) (let ((_let_101 (+ _let_7 _let_97))) (let ((_let_102 (tptp.in_bounds1 _let_101))) (let ((_let_103 (and _let_102 _let_100))) (let ((_let_104 (= _let_97 1))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_103))) (let ((_let_107 (and _let_66 _let_106))) (let ((_let_108 (not _let_76))) (let ((_let_109 (or _let_108 _let_107))) (let ((_let_110 (and _let_109 _let_77))) (let ((_let_111 (= _let_108 _let_12))) (let ((_let_112 (or _let_111 _let_110))) (let ((_let_113 (CNF_OR_NEG :args (_let_77 1)))) (let ((_let_114 (+ _let_29 _let_19))) (let ((_let_115 (>= _let_114 0))) (let ((_let_116 (+ _let_33 _let_19))) (let ((_let_117 (>= _let_116 1))) (let ((_let_118 (not _let_117))) (let ((_let_119 (and _let_118 _let_115 _let_23 _let_22 _let_112))) (let ((_let_120 (not _let_112))) (let ((_let_121 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (let ((_let_122 (not _let_121))) (let ((_let_123 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_46) 0))) (let ((_let_124 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 0))) (let ((_let_125 (not _let_124))) (let ((_let_126 (= tptp.true1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_127 (or _let_126 _let_125 _let_123 _let_122))) (let ((_let_128 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_129 (* (- 1) _let_128))) (let ((_let_130 (= _let_33 (+ _let_129 _let_7)))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_119))) (let ((_let_133 (+ _let_33 _let_128))) (let ((_let_134 (tptp.in_bounds1 _let_133))) (let ((_let_135 (and _let_134 _let_132))) (let ((_let_136 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_137 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_138 (tptp.div1 _let_137 _let_136))) (let ((_let_139 (= _let_138 _let_128))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_135))) (let ((_let_142 (tptp.in_bounds1 _let_138))) (let ((_let_143 (= _let_136 0))) (let ((_let_144 (not _let_143))) (let ((_let_145 (and _let_144 _let_142 _let_141))) (let ((_let_146 (= _let_33 (+ _let_29 (* (- 1) _let_137))))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_145))) (let ((_let_149 (+ _let_40 _let_29))) (let ((_let_150 (tptp.in_bounds1 _let_149))) (let ((_let_151 (and _let_150 _let_148))) (let ((_let_152 (= _let_136 2))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_153 _let_151))) (let ((_let_155 (tptp.in_bounds1 2))) (let ((_let_156 (and _let_155 _let_154))) (let ((_let_157 (not _let_126))) (let ((_let_158 (or _let_157 _let_156))) (let ((_let_159 (and _let_158 _let_127))) (let ((_let_160 (= _let_36 _let_157))) (let ((_let_161 (forall ((I Int)) (or (not (>= I 0)) (>= (+ I (* (- 1) (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) 0) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 I))) (and (>= (+ I (* (- 1) (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) 0) (not (>= (+ I (* (- 1) (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) 1))))))) (let ((_let_162 (not _let_161))) (let ((_let_163 (not _let_94))) (let ((_let_164 (not _let_53))) (let ((_let_165 (or _let_164 _let_163 _let_162 _let_160 _let_159))) (let ((_let_166 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_167 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_168 (= _let_20 (+ _let_167 _let_166)))) (let ((_let_169 (not _let_165))) (let ((_let_170 (* (- 1) _let_166))) (let ((_let_171 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_170) 1))) (let ((_let_172 (not _let_171))) (let ((_let_173 (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_174 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (* (- 1) _let_173)))) (let ((_let_175 (>= _let_174 0))) (let ((_let_176 (and _let_175 _let_172))) (let ((_let_177 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_46))) (let ((_let_178 (>= _let_177 0))) (let ((_let_179 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 0))) (let ((_let_180 (not _let_179))) (let ((_let_181 (or _let_180 _let_178 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) _let_176))) (let ((_let_182 (+ _let_20 _let_170))) (let ((_let_183 (>= _let_182 1))) (let ((_let_184 (>= _let_173 0))) (let ((_let_185 (and _let_184 _let_183 _let_181 _let_165))) (let ((_let_186 (not _let_168))) (let ((_let_187 (or _let_186 _let_185))) (let ((_let_188 (* (- 1) _let_167))) (let ((_let_189 (+ _let_20 _let_188))) (let ((_let_190 (tptp.in_bounds1 _let_189))) (let ((_let_191 (and _let_190 _let_187))) (let ((_let_192 (>= _let_189 2147483648))) (let ((_let_193 (not _let_192))) (let ((_let_194 (>= _let_189 (- 2147483648)))) (let ((_let_195 (and _let_194 _let_193))) (let ((_let_196 (= _let_190 _let_195))) (let ((_let_197 (forall ((N Int)) (= (tptp.in_bounds1 N) (and (>= N (- 2147483648)) (not (>= N 2147483648))))))) (let ((_let_198 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_199 (_let_197))) (let ((_let_200 ((tptp.in_bounds1 N)))) (let ((_let_201 (= _let_167 1))) (let ((_let_202 (>= _let_20 0))) (let ((_let_203 (not _let_201))) (let ((_let_204 (or _let_203 _let_191))) (let ((_let_205 (and _let_66 _let_204))) (let ((_let_206 (not _let_197))) (let ((_let_207 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_198 :args (1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_199))) :args ((or _let_66 _let_206))) _let_198 :args (_let_66 false _let_197)))) (let ((_let_208 (= _let_173 0))) (let ((_let_209 (not _let_208))) (let ((_let_210 (or _let_209 _let_205))) (let ((_let_211 (tptp.in_bounds1 0))) (let ((_let_212 (and _let_211 _let_210))) (let ((_let_213 (forall ((I1 Int) (I2 Int)) (or (not (>= I1 0)) (>= (+ I1 (* (- 1) I2)) 1) (>= (+ I2 (* (- 1) (tptp.to_int1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) 0) (not (>= (+ (tptp.to_int1 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 I1)) (* (- 1) (tptp.to_int1 (tptp.get3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 I2)))) 1)))))) (let ((_let_214 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(ASSUME :args (_let_590)))) (let ((_let_603 (ASSUME :args _let_598))) (let ((_let_604 (= _let_15 _let_10))) (let ((_let_605 (= (+ _let_10 _let_16) 0))) (let ((_let_606 ((not _let_605)))) (let ((_let_607 (_let_605))) (let ((_let_608 (ASSUME :args (_let_12)))) (let ((_let_609 (ASSUME :args (_let_17)))) (let ((_let_610 (_let_14))) (let ((_let_611 (ASSUME :args _let_610))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_608 _let_609 (MODUS_PONENS _let_611 (SCOPE (CONG (SYMM _let_611) :args _let_538) :args _let_610))) :args (_let_12 _let_14 _let_17)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_604)) :args _let_607) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_607) _let_609 _let_608 :args _let_246) :args _let_228) :args _let_607) :args _let_606) :args _let_606)) :args (_let_12 _let_17 _let_604)) :args ((not (and _let_12 _let_14 _let_17)) SB_LITERAL))) :args ((or _let_88 _let_454 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_591)) :args ((or _let_91 _let_433 _let_590 _let_17 (not _let_591)))) (MACRO_RESOLUTION_TRUST _let_597 _let_587 :args (_let_90 true _let_92)) _let_440 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_602 _let_563 _let_579 _let_603) :args (_let_104 _let_98 _let_593 _let_590)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_603 :args _let_601) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_601) _let_580 _let_563 _let_602 :args (1.0 (- 1.0) 1.0 (- 1.0))) :args _let_228) :args _let_601) :args (_let_86)) :args ((not _let_600)))) :args (_let_590 _let_104 _let_98 _let_593)) :args ((not (and _let_104 _let_98 _let_593 _let_590)) SB_LITERAL))) (CONG _let_577 _let_576 (MACRO_SR_PRED_INTRO :args ((= (not _let_593) _let_86))) (REFL :args (_let_592)) :args _let_220)) _let_559 (MACRO_RESOLUTION_TRUST _let_574 _let_573 :args (_let_98 true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_599) (CONG (REFL :args _let_599) (REFL :args _let_598) (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_83))) :args _let_220)) :args ((or _let_83 _let_87 _let_593))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_594 1)) :args ((or _let_84 (not _let_594)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_595)) :args ((or _let_91 _let_89 _let_88 _let_594 _let_596))) _let_589 _let_597 :args ((or _let_89 _let_92 _let_594 _let_596) false _let_14 false _let_90)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_92 1)) _let_587 :args ((not _let_89) true _let_92)) _let_587 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_311 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_310)) :args _let_309)) _let_308 :args (_let_595 false _let_161)) :args (_let_594 true _let_89 true _let_92 false _let_595)) :args (_let_84 false _let_594)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_92 3)) _let_587 :args ((not _let_87) true _let_92)) :args (_let_593 true _let_83 true _let_87)) :args (_let_592 false _let_104 false _let_98 true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_546 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_7 QUANTIFIERS_INST_E_MATCHING _let_545)) :args _let_544))) _let_543 :args (_let_591 false _let_213)) :args (_let_17 false _let_90 false _let_22 true _let_590 false _let_591)) (MACRO_RESOLUTION_TRUST _let_589 _let_587 :args (_let_14 true _let_92)) (MACRO_RESOLUTION_TRUST _let_485 _let_452 _let_551 :args (_let_12 true _let_112 false _let_77)) :args (false false _let_17 false _let_14 false _let_12)) :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))))) _let_6 _let_5 _let_4 (forall ((X Int)) (let ((_let_1 (tptp.abs1 X))) (let ((_let_2 (<= 0 X))) (and (=> _let_2 (= _let_1 X)) (=> (not _let_2) (= _let_1 (- X))))))) (forall ((X Int) (Y Int)) (= (<= (tptp.abs1 X) Y) (and (<= (- Y) X) (<= X Y)))) (forall ((X Int)) (<= 0 (tptp.abs1 X))) (forall ((X Int) (Y Int)) (=> (not (= Y 0)) (= X (+ (* Y (tptp.div1 X Y)) (tptp.mod1 X Y))))) _let_3 (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.abs1 Y))) (let ((_let_2 (tptp.mod1 X Y))) (=> (not (= Y 0)) (and (< (- _let_1) _let_2) (< 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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))) (forall ((X tptp.map_int_int32)) (tptp.sort1 (tptp.map tptp.int tptp.int32) (tptp.t2tb X))) (forall ((I tptp.map_int_int32)) (= (tptp.tb2t (tptp.t2tb I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 (tptp.map tptp.int tptp.int32) J) (= (tptp.t2tb (tptp.tb2t J)) J))) (forall ((X tptp.int321)) (tptp.sort1 tptp.int32 (tptp.t2tb1 X))) (forall ((I tptp.int321)) (= (tptp.tb2t1 (tptp.t2tb1 I)) I)) (forall ((J tptp.uni)) (=> (tptp.sort1 tptp.int32 J) (= (tptp.t2tb1 (tptp.tb2t1 J)) J))) (forall ((X Int)) (tptp.sort1 tptp.int (tptp.t2tb2 X))) (forall ((I Int)) (= 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(forall ((B tptp.int321) (A Int)) (= (tptp.get3 (tptp.tb2t (tptp.const tptp.int32 tptp.int (tptp.t2tb1 B))) A) B)) (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 tptp.int321) (X1 tptp.uni)) (tptp.sort1 (tptp.array A) (tptp.mk_array1 A X X1))) (forall ((A tptp.ty) (U tptp.int321) (U1 tptp.uni)) (= (tptp.length1 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 tptp.int321) (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)) (=> (tptp.sort1 (tptp.array A) U) (= U (tptp.mk_array1 A (tptp.length1 A U) (tptp.elts A U))))) (forall ((A tptp.ty) (X tptp.uni) (X1 Int)) (tptp.sort1 A (tptp.get4 A X X1))) (forall ((X tptp.array_int32)) (tptp.sort1 (tptp.array tptp.int32) (tptp.t2tb3 X))) (forall ((I 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true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.81/1.26 )
% 0.81/1.26 % SZS output end Proof for SWW578_2
% 0.81/1.26 % cvc5---1.0.5 exiting
% 0.81/1.26 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------