TSTP Solution File: ARI638_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI638_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 17:31:35 EDT 2023
% Result : Theorem 15.43s 15.68s
% Output : Proof 15.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ARI638_1 : TPTP v8.1.2. Released v6.3.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n028.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 : Tue Aug 29 18:22:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_ARI
% 15.43/15.68 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.PyLQ8TusZR/cvc5---1.0.5_23484.p...
% 15.43/15.68 ------- get file name : TPTP file name is ARI638_1
% 15.43/15.68 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23484.smt2...
% 15.43/15.68 --- Run --finite-model-find --decision=internal at 15...
% 15.43/15.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.43/15.68 --- Run --no-e-matching --full-saturate-quant at 15...
% 15.43/15.68 % SZS status Theorem for ARI638_1
% 15.43/15.68 % SZS output start Proof for ARI638_1
% 15.43/15.68 (
% 15.43/15.68 (let ((_let_1 (+ tptp.c tptp.d))) (let ((_let_2 (not (> (tptp.f (+ tptp.a (+ tptp.b _let_1))) 4.0)))) (let ((_let_3 (tptp.f _let_1))) (let ((_let_4 (> _let_3 2.0))) (let ((_let_5 (+ tptp.a tptp.b))) (let ((_let_6 (tptp.f _let_5))) (let ((_let_7 (> _let_6 2.0))) (let ((_let_8 (forall ((X Real) (Y Real)) (= (tptp.f (+ X Y)) (* (tptp.f X) (tptp.f Y)))))) (let ((_let_9 (* _let_3 _let_3))) (let ((_let_10 (* _let_6 _let_3))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (* (- 1) _let_9))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (or _let_11 _let_13))) (let ((_let_15 (+ _let_10 _let_12))) (let ((_let_16 (>= _let_15 0))) (let ((_let_17 (not _let_11))) (let ((_let_18 (tptp.f (+ tptp.a tptp.b tptp.c tptp.d)))) (let ((_let_19 (= _let_18 _let_10))) (let ((_let_20 (+ _let_3 (* (/ (- 1) 2) _let_9)))) (let ((_let_21 (>= _let_20 0))) (let ((_let_22 (* (- 1) _let_18))) (let ((_let_23 (>= _let_22 (- 4)))) (let ((_let_24 (* (- 1) _let_3))) (let ((_let_25 (>= _let_24 (- 2)))) (let ((_let_26 (not _let_16))) (let ((_let_27 (forall ((X Real) (Y Real)) (= (tptp.f (+ X Y)) (* (tptp.f X) (tptp.f Y)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_5 _let_1 QUANTIFIERS_INST_ENUM)) :args (_let_27)))) _let_28 :args (_let_19 false _let_27)))) (let ((_let_30 (not _let_25))) (let ((_let_31 (>= _let_24 0))) (let ((_let_32 (not _let_31))) (let ((_let_33 (and _let_32 _let_30))) (let ((_let_34 (not _let_21))) (let ((_let_35 (>= _let_3 0))) (let ((_let_36 (= _let_3 0.0))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (EQ_RESOLVE _let_38 (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_35))) (let ((_let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_25))))) (let ((_let_43 (>= _let_3 0.0))) (let ((_let_44 ((< _let_3 0.0)))) (let ((_let_45 (_let_41))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_43))) (let ((_let_48 (false))) (let ((_let_49 (1.0 (- 1.0)))) (let ((_let_50 (MACRO_SR_PRED_TRANSFORM _let_39 :args _let_37))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_39) :args (_let_30 _let_41)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_44) _let_50 :args _let_49) :args _let_48) :args _let_44) :args _let_47) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM _let_46 :args _let_44) :args ((not _let_43)))) :args (_let_41 _let_30)) :args ((not (and _let_30 _let_41)) SB_LITERAL))) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_35))) :args _let_40)) _let_39 :args (_let_35 true _let_25)))) (let ((_let_52 (not _let_36))) (let ((_let_53 (_let_52))) (let ((_let_54 (_let_36))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_55 _let_39) :args (_let_30 _let_36)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_55 :args _let_54) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_55 _let_50 :args _let_49) :args _let_48) :args _let_54) :args _let_53)) :args (_let_36 _let_30)) :args ((not (and _let_30 _let_36)) SB_LITERAL))) (CONG _let_42 (REFL :args _let_53) :args _let_40)) _let_39 :args (_let_52 true _let_25)))) (let ((_let_57 (REFL :args _let_45))) (let ((_let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_36))))) (let ((_let_59 (<= _let_3 0.0))) (let ((_let_60 (> _let_3 0.0))) (let ((_let_61 (ASSUME :args _let_53))) (let ((_let_62 (ASSUME :args (_let_35)))) (let ((_let_63 (ASSUME :args (_let_31)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_61 _let_63) :args (_let_52 _let_35 _let_31)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_63 :args (_let_59)) (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_62 :args _let_47) _let_61 :args (_let_60)) :args ((not _let_59)))) :args (_let_35 _let_52 _let_31)) :args ((not (and _let_52 _let_35 _let_31)) SB_LITERAL))) (CONG _let_58 _let_57 (REFL :args (_let_32)) :args _let_40)) _let_56 _let_51 :args (_let_32 true _let_36 false _let_35)))) (let ((_let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))))) (let ((_let_66 (_let_33))) (let ((_let_67 ((=> (and (> _let_3 0) _let_30) (> (* _let_3 _let_3) (* _let_3 2)))))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_POS :args (_let_3 (> _let_3 2))) :args _let_67) (REWRITE :args _let_67))) :args ((or _let_34 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_66) (CONG (REFL :args _let_66) _let_65 _let_42 :args _let_40)) :args ((or _let_25 _let_31 _let_33))) _let_39 _let_64 :args (_let_33 true _let_25 true _let_31)) :args (_let_34 false _let_33)))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (not _let_19))) (let ((_let_71 (not _let_23))) (let ((_let_72 (MACRO_SR_PRED_TRANSFORM _let_69 :args ((<= _let_18 4.0))))) (let ((_let_73 (* (- 1) _let_10))) (let ((_let_74 (ASSUME :args (_let_19)))) (let ((_let_75 (MACRO_SR_PRED_TRANSFORM _let_74 :args ((= (+ _let_18 _let_73) 0.0))))) (let ((_let_76 (ASSUME :args (_let_34)))) (let ((_let_77 (MACRO_SR_PRED_TRANSFORM _let_76 :args ((< _let_20 0.0))))) (let ((_let_78 (= _let_15 0.0))) (let ((_let_79 (_let_78))) (let ((_let_80 (ASSUME :args (_let_26)))) (let ((_let_81 (ASSUME :args (_let_11)))) (let ((_let_82 (>= (+ _let_73 _let_12) 0))) (let ((_let_83 (not _let_13))) (let ((_let_84 (* (- 1) _let_6))) (let ((_let_85 (>= (+ _let_84 _let_3) 0))) (let ((_let_86 (>= _let_22 0))) (let ((_let_87 (>= _let_84 (- 2)))) (let ((_let_88 (not _let_82))) (let ((_let_89 (>= (+ _let_84 _let_24) 0))) (let ((_let_90 (not _let_89))) (let ((_let_91 (not _let_85))) (let ((_let_92 (ite _let_35 _let_91 _let_90))) (let ((_let_93 (+ _let_6 _let_24))) (let ((_let_94 (>= _let_93 0))) (let ((_let_95 (not _let_94))) (let ((_let_96 (+ _let_6 _let_3))) (let ((_let_97 (not (>= _let_96 0)))) (let ((_let_98 (>= _let_6 0))) (let ((_let_99 (ite _let_98 _let_92 (ite _let_35 _let_97 _let_95)))) (let ((_let_100 (not _let_92))) (let ((_let_101 (= _let_6 0.0))) (let ((_let_102 (not _let_101))) (let ((_let_103 (and _let_99 _let_102 _let_52))) (let ((_let_104 (not _let_99))) (let ((_let_105 (+ _let_10 _let_9))) (let ((_let_106 (>= _let_9 0))) (let ((_let_107 (>= (+ _let_73 _let_9) 0))) (let ((_let_108 (not _let_107))) (let ((_let_109 (ite _let_106 _let_108 _let_88))) (let ((_let_110 (>= _let_10 0))) (let ((_let_111 (ite _let_110 _let_109 (ite _let_106 (not (>= _let_105 0)) _let_26)))) (let ((_let_112 (not _let_103))) (let ((_let_113 (not _let_111))) (let ((_let_114 (>= _let_73 0))) (let ((_let_115 (>= _let_84 0))) (let ((_let_116 (not _let_115))) (let ((_let_117 (and _let_32 _let_116))) (let ((_let_118 (not _let_114))) (let ((_let_119 (_let_7))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (EQ_RESOLVE _let_120 (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (not _let_98))) (let ((_let_123 (not _let_87))) (let ((_let_124 (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_87))))) (let ((_let_125 (>= _let_6 0.0))) (let ((_let_126 ((< _let_6 0.0)))) (let ((_let_127 (_let_122))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (_let_125))) (let ((_let_130 (MACRO_SR_PRED_TRANSFORM _let_121 :args _let_119))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_128 _let_121) :args (_let_123 _let_122)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_126) _let_130 :args _let_49) :args _let_48) :args _let_126) :args _let_129) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM _let_128 :args _let_126) :args ((not _let_125)))) :args (_let_122 _let_123)) :args ((not (and _let_123 _let_122)) SB_LITERAL))) (CONG _let_124 (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_98))) :args _let_40)) _let_121 :args (_let_98 true _let_87)))) (let ((_let_132 (_let_102))) (let ((_let_133 (_let_101))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_134 _let_121) :args (_let_123 _let_101)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_134 :args _let_133) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_134 _let_130 :args _let_49) :args _let_48) :args _let_133) :args _let_132)) :args (_let_101 _let_123)) :args ((not (and _let_123 _let_101)) SB_LITERAL))) (CONG _let_124 (REFL :args _let_132) :args _let_40)) _let_121 :args (_let_102 true _let_87)))) (let ((_let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))))) (let ((_let_137 (<= _let_6 0.0))) (let ((_let_138 (> _let_6 0.0))) (let ((_let_139 (ASSUME :args _let_132))) (let ((_let_140 (ASSUME :args (_let_98)))) (let ((_let_141 (ASSUME :args (_let_115)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_140 _let_139 _let_141) :args (_let_102 _let_98 _let_115)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_141 :args (_let_137)) (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_140 :args _let_129) _let_139 :args (_let_138)) :args ((not _let_137)))) :args (_let_98 _let_102 _let_115)) :args ((not (and _let_102 _let_98 _let_115)) SB_LITERAL))) (CONG _let_136 (REFL :args _let_127) (REFL :args (_let_116)) :args _let_40)) _let_135 _let_131 :args (_let_116 true _let_101 false _let_98)))) (let ((_let_143 (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_115))))) (let ((_let_144 (_let_117))) (let ((_let_145 (> _let_10 0.0))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_60 _let_138 _let_10)) (REWRITE :args ((=> (and _let_60 _let_138) _let_145))))) :args ((or _let_118 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_144) (CONG (REFL :args _let_144) _let_65 _let_143 :args _let_40)) :args ((or _let_115 _let_31 _let_117))) _let_142 _let_64 :args (_let_117 true _let_115 true _let_31)) :args (_let_118 false _let_117)))) (let ((_let_147 (_let_110))) (let ((_let_148 (_let_118))) (let ((_let_149 (>= _let_10 0.0))) (let ((_let_150 ((< _let_10 0.0)))) (let ((_let_151 (ASSUME :args _let_148))) (let ((_let_152 (MACRO_SR_PRED_TRANSFORM _let_151 :args (_let_145)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_151 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_150) _let_152 :args _let_49) :args _let_48) :args _let_150) :args (_let_149)) :args _let_147) :args _let_148)) :args _let_148)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_114))) (REFL :args _let_147) :args _let_40)) :args ((or _let_110 _let_114))) _let_146 :args (_let_110 true _let_114)))) (let ((_let_154 (not _let_109))) (let ((_let_155 (REFL :args (_let_70)))) (let ((_let_156 (REFL :args (_let_71)))) (let ((_let_157 (ASSUME :args (_let_108)))) (let ((_let_158 (not _let_106))) (let ((_let_159 (not _let_110))) (let ((_let_160 (- _let_9))) (let ((_let_161 (- _let_10))) (let ((_let_162 (>= _let_9 0.0))) (let ((_let_163 (- _let_3))) (let ((_let_164 (- _let_6))) (let ((_let_165 (=> (and (ite _let_125 (ite _let_43 (> _let_6 _let_3) (> _let_6 _let_163)) (ite _let_43 (> _let_164 _let_3) (> _let_164 _let_163))) _let_102 _let_52) (ite _let_149 (ite _let_162 (> _let_10 _let_9) (> _let_10 _let_160)) (ite _let_162 (> _let_161 _let_9) (> _let_161 _let_160)))))) (let ((_let_166 (_let_103))) (let ((_let_167 (_let_92))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_ITE_NEG1 :args _let_167) (CONG (REFL :args _let_167) _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_85))) :args _let_40)) :args ((or _let_41 _let_85 _let_92))) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG1 :args (_let_99)) :args ((or _let_122 _let_99 _let_100))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_166) (CONG (REFL :args _let_166) (REFL :args (_let_104)) _let_136 _let_58 :args _let_40)) :args ((or _let_101 _let_36 _let_103 _let_104))) _let_135 _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_165 THEORY_ARITH)) (REWRITE :args (_let_165)))) :args ((or _let_111 _let_112))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_111)) :args ((or _let_109 _let_159 _let_113))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_109)) :args ((or _let_158 _let_108 _let_154))) (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_158)) :args ((< _let_9 0.0))) _let_50 _let_77 :args (1.0 (- 2.0) 2.0)) :args _let_48) :args (_let_30 _let_34 _let_158))) :args ((or _let_25 _let_21 _let_106))) :args ((or _let_25 _let_106 _let_21))) _let_39 _let_68 :args (_let_106 true _let_25 true _let_21)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_69 _let_76 _let_74 _let_157 _let_39) :args (_let_30 _let_23 _let_34 _let_19 _let_108)) (SCOPE (CONTRA _let_50 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_38 (MACRO_SR_PRED_TRANSFORM _let_157 :args ((> _let_15 0.0))) _let_75 _let_77 _let_72 :args ((- 1.0) (/ (- 1) 2) (/ (- 1) 2) 1.0 (/ 1 2))) :args _let_48) :args _let_37) :args ((<= _let_3 2.0))) :args ((not _let_4)))) :args (_let_23 _let_34 _let_19 _let_108 _let_30)) :args ((not (and _let_30 _let_23 _let_34 _let_19 _let_108)) SB_LITERAL))) (CONG _let_42 _let_156 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_21))) _let_155 (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_107))) :args _let_40)) _let_29 _let_68 _let_69 _let_39 :args (_let_107 false _let_19 true _let_21 false _let_23 true _let_25)) :args (_let_154 false _let_106 false _let_107)) _let_153 :args (_let_113 true _let_109 false _let_110)) :args (_let_112 true _let_111)) :args (_let_104 true _let_101 true _let_36 true _let_103)) :args (_let_100 false _let_98 true _let_99)) :args (_let_85 false _let_35 true _let_92)))) (let ((_let_169 (not _let_86))) (let ((_let_170 (1.0 (- 1.0) (- 1.0)))) (let ((_let_171 (ASSUME :args (_let_85)))) (let ((_let_172 (MACRO_SR_PRED_TRANSFORM _let_171 :args ((<= _let_93 0.0))))) (let ((_let_173 (= _let_105 0.0))) (let ((_let_174 (_let_173))) (let ((_let_175 (ASSUME :args (_let_88)))) (let ((_let_176 (ASSUME :args (_let_13)))) (let ((_let_177 (= _let_6 _let_3))) (let ((_let_178 (or _let_177 (= _let_6 _let_24)))) (let ((_let_179 (ite _let_98 _let_95 _let_90))) (let ((_let_180 (ite _let_35 _let_179 (ite _let_98 _let_97 _let_91)))) (let ((_let_181 (not _let_179))) (let ((_let_182 (and _let_180 _let_52 _let_102))) (let ((_let_183 (not _let_180))) (let ((_let_184 (* _let_6 _let_6))) (let ((_let_185 (* (- 1) _let_184))) (let ((_let_186 (>= (+ _let_185 _let_10) 0))) (let ((_let_187 (not _let_186))) (let ((_let_188 (>= _let_184 0))) (let ((_let_189 (+ _let_184 _let_73))) (let ((_let_190 (>= _let_189 0))) (let ((_let_191 (not _let_190))) (let ((_let_192 (ite _let_188 _let_191 (not (>= (+ _let_185 _let_73) 0))))) (let ((_let_193 (ite _let_110 _let_192 (ite _let_188 (not (>= (+ _let_184 _let_10) 0)) _let_187)))) (let ((_let_194 (not _let_182))) (let ((_let_195 (not _let_193))) (let ((_let_196 (not _let_192))) (let ((_let_197 (+ _let_6 (* (/ (- 1) 2) _let_184)))) (let 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(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_211)) :args ((< _let_184 0.0))) _let_207 _let_130 :args (1.0 2.0 (- 2.0))) :args _let_48) :args (_let_200 _let_123 _let_211))) :args ((or _let_198 _let_87 _let_188))) :args ((or _let_87 _let_188 _let_198))) _let_121 _let_203 :args (_let_188 true _let_87 true _let_198)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_210 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_209) (MACRO_SR_PRED_TRANSFORM _let_210 :args ((> _let_189 0.0))) :args _let_49) :args _let_48) :args _let_209) :args ((>= _let_189 0.0))) :args _let_208) :args _let_204)) :args _let_204)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_187) _let_186))) (REFL :args _let_208) :args _let_40)) :args ((or _let_190 _let_186))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_69 _let_205 _let_74 _let_206 _let_121) :args (_let_123 _let_23 _let_200 _let_19 _let_186)) (SCOPE (CONTRA _let_130 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_120 _let_207 _let_75 (MACRO_SR_PRED_TRANSFORM _let_205 :args ((<= _let_189 0.0))) _let_72 :args ((- 1.0) 1.0 (/ (- 1) 2) (/ 1 2) (/ 1 2))) :args _let_48) :args _let_119) :args ((<= _let_6 2.0))) :args ((not _let_7)))) :args (_let_23 _let_186 _let_19 _let_200 _let_123)) :args ((not (and _let_123 _let_23 _let_200 _let_19 _let_186)) SB_LITERAL))) (CONG _let_124 _let_156 (MACRO_SR_PRED_INTRO :args ((= (not _let_200) _let_198))) _let_155 (REFL :args _let_204) :args _let_40)) _let_121 _let_69 _let_203 _let_29 :args (_let_187 true _let_87 false _let_23 true _let_198 false _let_19)) :args (_let_190 true _let_186)) :args (_let_196 false _let_188 false _let_190)) :args (_let_195 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(REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_82)) :args ((<= _let_105 0.0))) _let_77 _let_172 _let_130 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_169)) :args ((> _let_18 0.0))) _let_75 :args (1.0 2.0 2.0 (- 2.0) (- 1.0) 1.0)) :args _let_48) :args (_let_34 _let_85 _let_123 _let_169 _let_19 _let_82))) :args ((or _let_21 _let_91 _let_87 _let_86 _let_70 _let_88))) :args ((or _let_87 _let_86 _let_21 _let_70 _let_91 _let_88))) _let_121 (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_86)) :args ((<= _let_18 0.0))) _let_152 _let_75 :args _let_170) :args _let_48) :args (_let_118 _let_19 _let_86))) :args ((or _let_114 _let_70 _let_169))) :args ((or _let_169 _let_70 _let_114))) _let_29 _let_146 :args (_let_169 false _let_19 true _let_114)) _let_68 _let_29 _let_168 :args 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1.0) 2.0 (- 1.0) (- 2.0) 1.0)) :args _let_48) :args (_let_34 _let_19 _let_30 _let_23 _let_16))) :args ((or _let_21 _let_70 _let_25 _let_71 _let_26))) :args ((or _let_25 _let_71 _let_21 _let_70 _let_26))) _let_39 _let_69 _let_68 _let_29 :args (_let_26 true _let_25 false _let_23 true _let_21 false _let_19)) :args (_let_17 true _let_16)) :args (false false _let_14 true _let_13 true _let_11)) :args (_let_8 _let_7 _let_4 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.43/15.68 )
% 15.43/15.68 % SZS output end Proof for ARI638_1
% 15.43/15.68 % cvc5---1.0.5 exiting
% 15.43/15.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------