TSTP Solution File: ARI683_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI683_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 : Wed Aug 30 17:31:45 EDT 2023
% Result : Theorem 98.20s 98.57s
% Output : Proof 98.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI683_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n022.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 : Tue Aug 29 18:25:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.45 %----Proving TF0_ARI
% 98.20/98.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.IrIb0ZC57I/cvc5---1.0.5_29529.p...
% 98.20/98.57 ------- get file name : TPTP file name is ARI683_1
% 98.20/98.57 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29529.smt2...
% 98.20/98.57 --- Run --finite-model-find --decision=internal at 15...
% 98.20/98.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 98.20/98.57 --- Run --no-e-matching --full-saturate-quant at 15...
% 98.20/98.57 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 98.20/98.57 --- Run --macros-quant --macros-quant-mode=all --nl-ext-tplanes --full-saturate-quant...
% 98.20/98.57 % SZS status Theorem for ARI683_1
% 98.20/98.57 % SZS output start Proof for ARI683_1
% 98.20/98.57 (
% 98.20/98.57 (let ((_let_1 (* tptp.d tptp.i))) (let ((_let_2 (* tptp.d tptp.h))) (let ((_let_3 (+ (+ tptp.b (* tptp.c tptp.g)) (* (- 1) (* tptp.c tptp.h))))) (let ((_let_4 (not (<= (+ (* tptp.e tptp.f) (* (- 1) (* tptp.e tptp.i))) (+ (+ _let_3 _let_2) (* (- 1) _let_1)))))) (let ((_let_5 (< tptp.e tptp.a))) (let ((_let_6 (<= tptp.a tptp.d))) (let ((_let_7 (< tptp.i tptp.h))) (let ((_let_8 (< tptp.h tptp.g))) (let ((_let_9 (<= tptp.g tptp.f))) (let ((_let_10 (<= (+ (* tptp.a tptp.f) (* (- 1) (* tptp.a tptp.h))) _let_3))) (let ((_let_11 (* (- 1) tptp.f))) (let ((_let_12 (+ tptp.g _let_11))) (let ((_let_13 (>= _let_12 1))) (let ((_let_14 (* (- 1) tptp.d))) (let ((_let_15 (+ tptp.a _let_14))) (let ((_let_16 (>= _let_15 1))) (let ((_let_17 (* (- 1) tptp.e))) (let ((_let_18 (>= (+ tptp.a _let_17) 1))) (let ((_let_19 (= tptp.g (+ tptp.h kf_2)))) (let ((_let_20 (= tptp.h (+ tptp.f kf_4)))) (let ((_let_21 (* tptp.a kf_4))) (let ((_let_22 (* (- 1) (* tptp.c tptp.h)))) (let ((_let_23 (* tptp.c tptp.g))) (let ((_let_24 (>= (+ tptp.b _let_23 _let_22 _let_21) 0))) (let ((_let_25 (* tptp.e kf_4))) (let ((_let_26 (>= (+ kf_4 (* (- 1) _let_21) _let_25) 0))) (let ((_let_27 (= tptp.d (+ tptp.e (* (- 1) kf_6))))) (let ((_let_28 (* tptp.e kf_8))) (let ((_let_29 (* tptp.i tptp.d))) (let ((_let_30 (* (- 1) _let_29))) (let ((_let_31 (* tptp.h tptp.d))) (let ((_let_32 (+ tptp.b _let_23 _let_22 _let_31 _let_30 _let_28))) (let ((_let_33 (>= _let_32 0))) (let ((_let_34 (* kf_4 kf_6))) (let ((_let_35 (* (- 1) _let_34))) (let ((_let_36 (* tptp.d kf_4))) (let ((_let_37 (= _let_36 (+ _let_25 _let_35)))) (let ((_let_38 (>= kf_2 0))) (let ((_let_39 (* kf_6 kf_8))) (let ((_let_40 (* tptp.d kf_8))) (let ((_let_41 (= _let_40 (+ _let_28 (* (- 1) _let_39))))) (let ((_let_42 (>= (+ kf_6 _let_35 _let_39) 0))) (let ((_let_43 (* tptp.f tptp.d))) (let ((_let_44 (= _let_31 (+ _let_43 _let_36)))) (let ((_let_45 (= _let_43 (+ _let_29 (* (- 1) _let_40))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (* (- 1) tptp.h))) (let ((_let_50 (+ tptp.g _let_49))) (let ((_let_51 ((= kf_2 _let_50)))) (let ((_let_52 (EQ_RESOLVE (MACRO_SR_PRED_INTRO :args _let_51) (REWRITE :args _let_51)))) (let ((_let_53 (+ tptp.h _let_11))) (let ((_let_54 (= kf_4 _let_53))) (let ((_let_55 (_let_54))) (let ((_let_56 (MACRO_SR_PRED_INTRO :args _let_55))) (let ((_let_57 (EQ_RESOLVE _let_56 (REWRITE :args _let_55)))) (let ((_let_58 (>= (+ tptp.b _let_23 _let_22 (* tptp.h tptp.a) (* (- 1) (* tptp.a tptp.f))) 0))) (let ((_let_59 (not _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (SPLIT :args (_let_58)) _let_56 :args ((or _let_24 _let_59))) :args ((or _let_59 _let_24))) (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args (_let_24 false _let_58)))) (let ((_let_61 (>= kf_4 0))) (let ((_let_62 (not _let_61))) (let ((_let_63 (and _let_62 _let_18))) (let ((_let_64 (>= _let_53 0))) (let ((_let_65 (>= _let_50 1))) (let ((_let_66 (not _let_64))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or))) (let ((_let_69 (_let_66))) (let ((_let_70 (not _let_65))) (let ((_let_71 (REFL :args (_let_70)))) (let ((_let_72 (not _let_13))) (let ((_let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_13))))) (let ((_let_74 (< _let_53 0))) (let ((_let_75 (_let_74))) (let ((_let_76 (_let_64))) (let ((_let_77 (false))) (let ((_let_78 (MACRO_SR_PRED_TRANSFORM _let_46 :args ((< _let_12 1))))) (let ((_let_79 (ASSUME :args _let_76))) (let ((_let_80 (not _let_20))) (let ((_let_81 (REFL :args (_let_80)))) (let ((_let_82 (1.0 (- 1.0) (- 1.0)))) (let ((_let_83 (ASSUME :args (_let_61)))) (let ((_let_84 (* (- 1) kf_4))) (let ((_let_85 (MACRO_SR_PRED_TRANSFORM _let_57 :args ((= (+ tptp.h _let_11 _let_84) 0))))) (let ((_let_86 (ASSUME :args _let_69))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_83 _let_57 _let_86) :args (_let_66 _let_20 _let_61)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_86 :args _let_75) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_75) _let_85 _let_83 :args _let_82) :args _let_77) :args _let_75) :args _let_76) :args ((not _let_74)))) :args (_let_61 _let_20 _let_66)) :args ((not (and _let_66 _let_20 _let_61)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_64))) _let_81 (REFL :args (_let_62)) :args _let_68)) _let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA _let_79 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_79 _let_67 _let_78 :args ((- 1.0) (- 1.0) 1.0)) :args _let_77) :args _let_76) :args _let_75) :args _let_69)) :args (_let_72 _let_65 _let_64))) (CONG _let_73 _let_71 (REFL :args _let_69) :args _let_68)) _let_67 _let_46 :args (_let_66 false _let_65 true _let_13)) :args (_let_62 false _let_20 true _let_64)))) (let ((_let_88 (not _let_18))) (let ((_let_89 (REFL :args (_let_88)))) (let ((_let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))))) (let ((_let_91 (_let_63))) (let ((_let_92 (* (- 1) (+ (- 1) _let_17)))) (let ((_let_93 (< kf_4 0))) (let ((_let_94 ((=> (and _let_93 _let_18) (<= (* kf_4 tptp.a) (* kf_4 _let_92)))))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (kf_4 (>= tptp.a _let_92))) :args _let_94) (REWRITE :args _let_94))) :args ((or _let_26 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_91) (CONG (REFL :args _let_91) _let_90 _let_89 :args _let_68)) :args ((or _let_88 _let_61 _let_63))) _let_48 _let_87 :args (_let_63 false _let_18 true _let_61)) :args (_let_26 false _let_63)))) (let ((_let_96 ((= kf_6 (+ _let_14 tptp.e))))) (let ((_let_97 (EQ_RESOLVE (MACRO_SR_PRED_INTRO :args _let_96) (REWRITE :args _let_96)))) (let ((_let_98 (>= (+ tptp.b _let_23 _let_22 _let_31 (* (- 1) (* tptp.f tptp.e)) _let_30 (* tptp.i tptp.e)) 0))) (let ((_let_99 (not _let_33))) (let ((_let_100 ((= kf_8 (+ _let_11 tptp.i))))) (let ((_let_101 (MACRO_SR_PRED_INTRO :args _let_100))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (SPLIT :args ((not _let_98))) _let_101 :args ((or _let_99 _let_98))) :args ((or _let_98 _let_99))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) :args (_let_99 true _let_98)))) (let ((_let_103 (and _let_62 _let_27))) (let ((_let_104 (not _let_27))) (let ((_let_105 (REFL :args (_let_104)))) (let ((_let_106 (_let_103))) (let ((_let_107 (+ tptp.d (* 1 kf_6)))) (let ((_let_108 ((=> (and _let_93 _let_27) (= (* kf_4 tptp.e) (* kf_4 _let_107)))))) (let ((_let_109 (= tptp.e _let_107))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (kf_4 _let_109)) :args _let_108) (REWRITE :args _let_108))) :args ((or _let_37 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_106) (CONG (REFL :args _let_106) _let_90 _let_105 :args _let_68)) :args ((or _let_61 _let_104 _let_103))) _let_87 _let_97 :args (_let_103 true _let_61 false _let_27)) :args (_let_37 false _let_103)))) (let ((_let_111 (>= kf_2 1))) (let ((_let_112 (not _let_111))) (let ((_let_113 (not _let_19))) (let ((_let_114 (REFL :args (_let_113)))) (let ((_let_115 (< kf_2 1))) (let ((_let_116 (_let_111))) (let ((_let_117 (_let_115))) (let ((_let_118 (1.0 1.0 (- 1.0)))) (let ((_let_119 (MACRO_SR_PRED_TRANSFORM _let_52 :args ((= (+ tptp.g _let_49 (* (- 1) kf_2)) 0))))) (let ((_let_120 (_let_112))) (let ((_let_121 (not _let_38))) (let ((_let_122 (> kf_2 (- 1)))) (let ((_let_123 (_let_121))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 ((<= kf_2 (- 1))))) (let ((_let_126 (1.0 (- 1.0)))) (let ((_let_127 (ASSUME :args _let_116))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_124 _let_127) :args (_let_111 _let_121)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_125) _let_127 :args _let_126) :args _let_77) :args _let_125) :args (_let_122)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_124 :args ((< kf_2 0)))) :args ((not _let_122)))) :args (_let_121 _let_111)) :args ((not (and _let_111 _let_121)) SB_LITERAL))) (CONG (REFL :args _let_120) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_38))) :args _let_68)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_120) :args _let_117) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_117) _let_119 _let_67 :args _let_118) :args _let_77) :args _let_117) :args _let_116) :args ((not _let_115)))) :args (_let_65 _let_19 _let_112))) (CONG _let_71 _let_114 (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_68)) _let_52 _let_67 :args (_let_111 false _let_19 false _let_65)) :args (_let_38 false _let_111)))) (let ((_let_129 (>= kf_8 0))) (let ((_let_130 (not _let_129))) (let ((_let_131 (and _let_130 _let_27))) (let ((_let_132 (* (- 1) tptp.i))) (let ((_let_133 (+ tptp.h _let_132))) (let ((_let_134 (>= _let_133 1))) (let ((_let_135 (* (- 1) kf_8))) (let ((_let_136 (= tptp.f (+ tptp.i _let_135)))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (EQ_RESOLVE _let_101 (REWRITE :args _let_100)))) (let ((_let_139 (_let_130))) (let ((_let_140 (not _let_136))) (let ((_let_141 (REFL :args (_let_140)))) (let ((_let_142 (REFL :args _let_123))) (let ((_let_143 (REFL :args ((not _let_134))))) (let ((_let_144 (< kf_8 0))) (let ((_let_145 (_let_129))) (let ((_let_146 ((- 1.0) (- 1.0) (- 1.0) (- 1.0) 1.0 1.0))) (let ((_let_147 (MACRO_SR_PRED_TRANSFORM _let_138 :args ((= (+ tptp.f _let_132 kf_8) 0))))) (let ((_let_148 (ASSUME :args (_let_38)))) (let ((_let_149 (ASSUME :args _let_145))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_138 _let_137 _let_148 _let_52 _let_149) :args (_let_72 _let_134 _let_19 _let_38 _let_136 _let_129)) (SCOPE (CONTRA _let_149 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_149 _let_119 _let_148 _let_137 _let_147 _let_78 :args _let_146) :args _let_77) :args _let_145) :args (_let_144)) :args _let_139)) :args (_let_72 _let_136 _let_134 _let_38 _let_19 _let_129)) :args ((not (and _let_72 _let_134 _let_19 _let_38 _let_136 _let_129)) SB_LITERAL))) (CONG _let_73 _let_143 _let_114 _let_142 _let_141 (REFL :args _let_139) :args _let_68)) _let_128 _let_138 _let_52 _let_137 _let_46 :args (_let_130 false _let_38 false _let_136 false _let_19 false _let_134 true _let_13)))) (let ((_let_151 (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_129))))) (let ((_let_152 (_let_131))) (let ((_let_153 (* kf_8 tptp.e))) (let ((_let_154 ((=> (and _let_144 _let_27) (= _let_153 (* kf_8 _let_107)))))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (kf_8 _let_109)) :args _let_154) (REWRITE :args _let_154))) :args ((or _let_41 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_152) (CONG (REFL :args _let_152) _let_151 _let_105 :args _let_68)) :args ((or _let_104 _let_129 _let_131))) _let_97 _let_150 :args (_let_131 false _let_27 true _let_129)) :args (_let_41 false _let_131)))) (let ((_let_156 (+ kf_4 _let_135))) (let ((_let_157 (>= _let_156 1))) (let ((_let_158 (>= kf_6 0))) (let ((_let_159 (not _let_158))) (let ((_let_160 (and _let_159 _let_157))) (let ((_let_161 (= tptp.h (+ tptp.i kf_7)))) (let ((_let_162 (>= kf_7 1))) (let ((_let_163 ((= kf_7 _let_133)))) (let ((_let_164 (EQ_RESOLVE (MACRO_SR_PRED_INTRO :args _let_163) (REWRITE :args _let_163)))) (let ((_let_165 (not _let_162))) (let ((_let_166 (not _let_161))) (let ((_let_167 (REFL :args (_let_166)))) (let ((_let_168 (< kf_7 1))) (let ((_let_169 (_let_162))) (let ((_let_170 (_let_168))) (let ((_let_171 (MACRO_SR_PRED_TRANSFORM _let_164 :args ((= (+ tptp.h _let_132 (* (- 1) kf_7)) 0))))) (let ((_let_172 (_let_165))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_172) :args _let_170) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE 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_let_275 _let_274 _let_20 _let_24 _let_99 _let_337 _let_220 _let_207)) SB_LITERAL))) (CONG _let_73 _let_71 (REFL :args (_let_299)) (REFL :args _let_346) _let_81 _let_253 _let_252 (REFL :args ((not _let_337))) (REFL :args (_let_221)) (MACRO_SR_PRED_INTRO :args ((= (not _let_207) _let_204))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_345 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_344) _let_345 :args _let_126) :args _let_77) :args _let_344) :args _let_343) :args _let_342)) :args _let_342)) :args ((or _let_220 _let_174))) _let_178 :args (_let_220 false _let_157)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (kf_8 (<= tptp.e _let_340))) :args _let_341) (REWRITE :args _let_341))) :args ((or _let_337 (not _let_338)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_339) (CONG (REFL :args _let_339) _let_151 _let_89 :args _let_68)) :args ((or _let_88 _let_129 _let_338))) _let_48 _let_150 :args (_let_338 false _let_18 true _let_129)) :args (_let_337 false _let_338)) _let_102 _let_60 _let_57 _let_67 _let_46 _let_294 _let_293 :args ((or _let_205 _let_204) false _let_220 false _let_337 true _let_33 false _let_24 false _let_20 false _let_65 true _let_13 false _let_275 false _let_274)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_336 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_335) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_336 :args ((< _let_203 0)))) :args _let_229) :args _let_77) :args _let_335) :args _let_334) :args _let_332) :args _let_333)) :args _let_333)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_209) _let_206))) (REFL :args _let_332) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_211)) :args ((or (not _let_210) _let_209 (not _let_211)))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_331 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_330) _let_331 :args _let_126) :args _let_77) :args _let_330) :args (_let_210)) :args _let_329)) :args _let_329)) :args ((or _let_210 (not _let_326)))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_311 _let_93 _let_21)) (REWRITE :args ((=> (and _let_311 _let_93) (> _let_21 0)))))) :args ((or _let_326 (not _let_327)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_328) (CONG (REFL :args _let_328) _let_308 _let_90 :args _let_68)) :args ((or _let_231 _let_61 _let_327))) _let_307 _let_87 :args (_let_327 true _let_231 true _let_61)) :args (_let_326 false _let_327)) :args (_let_210 false _let_326)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_213)) :args ((or (not _let_212) _let_211 (not _let_213)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_325 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_324) _let_325 :args _let_126) :args _let_77) :args _let_324) :args (_let_212)) :args _let_323)) :args _let_323)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_311 _let_144 _let_201)) (REWRITE :args ((=> (and _let_311 _let_144) (> _let_201 0)))))) :args ((or _let_320 (not _let_321)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_322) (CONG (REFL :args _let_322) _let_308 _let_151 :args _let_68)) :args ((or _let_231 _let_129 _let_321))) _let_307 _let_150 :args (_let_321 true _let_231 true _let_129)) :args (_let_320 false _let_321)) :args (_let_212 false _let_320)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_319 THEORY_ARITH)) (REWRITE :args (_let_319)))) :args ((or _let_213 (not _let_223)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_314) (CONG (REFL :args _let_314) (REFL :args (_let_313)) (MACRO_SR_PRED_INTRO :args ((= (not _let_217) _let_216))) (MACRO_SR_PRED_INTRO :args ((= (not _let_215) _let_214))) :args _let_68)) :args ((or _let_216 _let_214 _let_223 _let_313))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_312 :args _let_310) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_312 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_233)) :args (_let_311))) :args _let_229) :args _let_77) :args _let_310) :args _let_309)) :args (_let_216 _let_233))) (CONG (REFL :args _let_309) _let_308 :args _let_68)) :args ((or _let_231 _let_217))) _let_307 :args (_let_217 true _let_231)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_230 :args _let_228) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_230 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_225)) :args ((< kf_8 (- 1))))) :args _let_229) :args _let_77) :args _let_228) :args _let_227)) :args (_let_214 _let_225))) (CONG (REFL :args _let_227) (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_224))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_226) :args _let_226) _let_177 _let_171 _let_67 (INT_TIGHT_UB _let_78) _let_147 :args _let_146) :args _let_77) :args (_let_162 _let_161 _let_65 _let_72 _let_136 _let_224))) :args ((or _let_165 _let_166 _let_70 _let_13 _let_140 _let_225))) :args ((or _let_13 _let_70 _let_166 _let_140 _let_165 _let_225))) _let_46 _let_67 _let_164 _let_138 _let_173 :args (_let_225 true _let_13 false _let_65 false _let_161 false _let_136 false _let_162)) :args (_let_215 true _let_224)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG2 :args (_let_222)) :args ((or _let_129 _let_222 (not _let_219)))) _let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG2 :args (_let_219)) :args ((or _let_61 _let_174 _let_219))) _let_87 _let_178 :args (_let_219 true _let_61 false _let_157)) :args (_let_222 true _let_129 false _let_219)) :args (_let_223 true _let_216 true _let_214 false _let_222)) :args (_let_213 false _let_223)) :args (_let_211 false _let_212 false _let_213)) :args (_let_209 false _let_210 false _let_211)) :args (_let_207 true _let_206)) :args (_let_205 true _let_204)) _let_200 :args (_let_198 true _let_197 true _let_196 false _let_195)) :args (_let_191 false _let_195 true _let_194)))) (let ((_let_351 (MACRO_SR_PRED_INTRO :args ((= (not _let_191) _let_190))))) (let ((_let_352 (_let_192))) (let ((_let_353 ((=> (and _let_281 _let_20) (= (* tptp.d kf_4) (* tptp.d _let_53)))))) (let ((_let_354 (and _let_191 _let_136))) (let ((_let_355 (_let_354))) (let ((_let_356 (* (- 1) (+ tptp.f _let_132)))) (let ((_let_357 ((=> (and _let_281 _let_136) (= (* tptp.d kf_8) (* tptp.d _let_356)))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_266 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.d (= kf_8 _let_356))) :args _let_357) (REWRITE :args _let_357))) :args ((or _let_45 (not _let_354)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_355) (CONG (REFL :args _let_355) _let_351 _let_141 :args _let_68)) :args ((or _let_190 _let_140 _let_354))) _let_350 _let_138 :args (_let_354 true _let_190 false _let_136)) :args (_let_45 false _let_354)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.d _let_54)) :args _let_353) (REWRITE :args _let_353))) :args ((or _let_44 (not _let_192)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_352) (CONG (REFL :args _let_352) _let_351 _let_81 :args _let_68)) :args ((or _let_190 _let_80 _let_192))) _let_350 _let_57 :args (_let_192 true _let_190 false _let_20)) :args (_let_44 false _let_192)) _let_189 _let_155 _let_128 _let_110 _let_102 _let_97 _let_95 _let_60 _let_57 _let_52 _let_48 _let_47 _let_46 :args (false false _let_45 false _let_44 false _let_42 false _let_41 false _let_38 false _let_37 true _let_33 false _let_27 false _let_26 false _let_24 false _let_20 false _let_19 false _let_18 true _let_16 true _let_13)) :args (_let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 98.20/98.60 )
% 98.20/98.60 % SZS output end Proof for ARI683_1
% 98.20/98.60 % cvc5---1.0.5 exiting
% 98.20/98.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------