TSTP Solution File: ARI664_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI664_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 17:31:41 EDT 2023
% Result : Theorem 0.17s 0.56s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ARI664_1 : TPTP v8.1.2. Released v6.3.0.
% 0.09/0.12 % Command : do_cvc5 %s %d
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 29 18:38:12 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.45 %----Proving TF0_ARI
% 0.17/0.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.YTvC7oHLt8/cvc5---1.0.5_21156.p...
% 0.17/0.56 ------- get file name : TPTP file name is ARI664_1
% 0.17/0.56 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21156.smt2...
% 0.17/0.56 --- Run --finite-model-find --decision=internal at 15...
% 0.17/0.56 % SZS status Theorem for ARI664_1
% 0.17/0.56 % SZS output start Proof for ARI664_1
% 0.17/0.56 (
% 0.17/0.56 (let ((_let_1 (* tptp.a tptp.b))) (let ((_let_2 (not (or (<= (- 2) _let_1) (>= (- 36) _let_1))))) (let ((_let_3 (* 11 tptp.b))) (let ((_let_4 (* 5 tptp.a))) (let ((_let_5 (= (+ _let_4 _let_3) 1))) (let ((_let_6 (= _let_4 (+ 1 (* (- 11) tptp.b))))) (let ((_let_7 (* tptp.a tptp.b))) (let ((_let_8 (>= _let_7 (- 35)))) (let ((_let_9 (>= tptp.a (- 12)))) (let ((_let_10 (= _let_7 (* (- 13) tptp.b)))) (let ((_let_11 (_let_5))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args _let_11) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (NOT_NOT_ELIM (NOT_OR_ELIM _let_13 :args (1))))) (let ((_let_15 (* 2 tptp.b))) (let ((_let_16 (+ tptp.a _let_15))) (let ((_let_17 (>= _let_16 0))) (let ((_let_18 (not _let_9))) (let ((_let_19 (>= tptp.b 2))) (let ((_let_20 (not _let_17))) (let ((_let_21 (>= tptp.b 0))) (let ((_let_22 (= tptp.b 0))) (let ((_let_23 (= tptp.b 1))) (let ((_let_24 (>= _let_16 1))) (let ((_let_25 (>= tptp.b (- 1)))) (let ((_let_26 (not _let_21))) (let ((_let_27 (and _let_26 _let_24))) (let ((_let_28 (and _let_26 _let_6))) (let ((_let_29 (* tptp.b tptp.b))) (let ((_let_30 (* (- 1) _let_7))) (let ((_let_31 (>= (+ tptp.b _let_30 (* (- 2) _let_29)) 0))) (let ((_let_32 (= tptp.b (+ (* 5 _let_7) (* 11 _let_29))))) (let ((_let_33 (not _let_24))) (let ((_let_34 (not _let_25))) (let ((_let_35 (_let_34))) (let ((_let_36 ((< tptp.b (- 1))))) (let ((_let_37 (_let_25))) (let ((_let_38 (false))) (let ((_let_39 (ASSUME :args (_let_24)))) (let ((_let_40 (MACRO_SR_PRED_TRANSFORM _let_12 :args _let_11))) (let ((_let_41 (ASSUME :args _let_37))) (let ((_let_42 (or))) (let ((_let_43 (_let_26))) (let ((_let_44 (REFL :args _let_43))) (let ((_let_45 (< tptp.b 0))) (let ((_let_46 (_let_21))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (_let_45))) (let ((_let_49 (_let_33))) (let ((_let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_21))))) (let ((_let_51 (_let_27))) (let ((_let_52 (not _let_6))) (let ((_let_53 (REFL :args (_let_52)))) (let ((_let_54 (_let_28))) (let ((_let_55 (* (- 1) (+ (- 1) _let_15)))) (let ((_let_56 ((=> (and _let_45 _let_24) (<= (* tptp.b tptp.a) (* tptp.b _let_55)))))) (let ((_let_57 (* (- 1) (+ (- 1) _let_3)))) (let ((_let_58 ((=> (and _let_45 _let_6) (= (* tptp.b _let_4) (* tptp.b _let_57)))))) (let ((_let_59 (not _let_8))) (let ((_let_60 (_let_59))) (let ((_let_61 ((< _let_7 (- 35))))) (let ((_let_62 (_let_8))) (let ((_let_63 (ASSUME :args (_let_31)))) (let ((_let_64 (ASSUME :args (_let_32)))) (let ((_let_65 (ASSUME :args _let_62))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_12 _let_39 _let_64 _let_65) :args (_let_6 _let_8 _let_24 _let_31 _let_32)) (SCOPE (CONTRA _let_65 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_65 (MACRO_SR_PRED_TRANSFORM _let_64 :args ((= (+ tptp.b (* (- 5) _let_7) (* (- 11) _let_29)) 0))) _let_39 _let_40 _let_63 :args ((- 1.0) 2.0 (- 45.0) 9.0 (- 11.0))) :args _let_38) :args _let_62) :args _let_61) :args _let_60)) :args (_let_31 _let_6 _let_24 _let_32 _let_8)) :args ((not (and _let_6 _let_8 _let_24 _let_31 _let_32)) SB_LITERAL))) :args ((or _let_59 _let_52 _let_33 (not _let_31) (not _let_32)))) _let_14 _let_12 (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.b (= _let_4 _let_57))) :args _let_58) (REWRITE :args _let_58))) :args ((or _let_32 (not _let_28)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.b (>= tptp.a _let_55))) :args _let_56) (REWRITE :args _let_56))) :args ((or _let_31 (not _let_27)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_54) (CONG (REFL :args _let_54) _let_50 _let_53 :args _let_42)) :args ((or _let_52 _let_21 _let_28))) _let_12 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_51) (CONG (REFL :args _let_51) _let_50 (REFL :args _let_49) :args _let_42)) :args ((or _let_33 _let_21 _let_27))) (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_47 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_35) :args _let_36)) :args ((- 1.0) 1.0)) :args _let_38) :args _let_46) :args _let_48) (MACRO_SR_PRED_TRANSFORM _let_47 :args ((not _let_45)))) :args (_let_21 _let_34))) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_25))) :args _let_42)) (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_39 _let_12 _let_41) :args (_let_6 _let_24 _let_25)) (SCOPE (CONTRA _let_41 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_41 _let_40 _let_39 :args ((- 1.0) 1.0 (- 5.0))) :args _let_38) :args _let_37) :args _let_36) :args _let_35)) :args (_let_24 _let_6 _let_25)) :args ((not (and _let_6 _let_24 _let_25)) SB_LITERAL))) _let_12 :args (_let_33 false _let_8 false _let_6 false _let_32 false _let_31 false _let_28 false _let_6 false _let_27 true _let_21 true _let_25 false _let_6)))) (let ((_let_67 (ASSUME :args _let_49))) (let ((_let_68 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_67 :args ((< _let_16 1)))))) (let ((_let_69 (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_43) :args _let_48) _let_68 _let_40 :args (1.0 5.0 (- 1.0))) :args _let_38) :args (_let_33 _let_6 _let_26))) :args ((or _let_24 _let_52 _let_21))) :args ((or _let_52 _let_24 _let_21))) _let_12 _let_66 :args (_let_21 false _let_6 true _let_24)))) (let ((_let_70 (not _let_22))) (let ((_let_71 (_let_70))) (let ((_let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_24))))) (let ((_let_73 (_let_22))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (= tptp.a _let_7))) (let ((_let_76 (not _let_23))) (let ((_let_77 (+ tptp.a _let_30))) (let ((_let_78 (>= _let_77 1))) (let ((_let_79 (>= tptp.a 0))) (let ((_let_80 (+ tptp.a _let_7))) (let ((_let_81 (ite _let_79 (not (>= _let_80 0)) _let_78))) (let ((_let_82 (ite _let_21 _let_19 _let_34))) (let ((_let_83 (>= _let_7 (- 2)))) (let ((_let_84 (not _let_79))) (let ((_let_85 (<= _let_16 0))) (let ((_let_86 (_let_85))) (let ((_let_87 (_let_79))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_88 _let_12 _let_67) :args (_let_6 _let_79 _let_33)) (SCOPE (CONTRA _let_68 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_86) _let_40 _let_88 :args (1.0 (/ (- 2) 11) (/ (- 1) 11))) :args _let_38) :args _let_86) :args ((> _let_16 0))) :args ((not _let_85)))) :args (_let_79 _let_6 _let_33)) :args ((not (and _let_6 _let_79 _let_33)) SB_LITERAL))) (CONG _let_53 (REFL :args (_let_84)) _let_72 :args _let_42)) _let_66 _let_12 :args (_let_84 true _let_24 false _let_6)))) (let ((_let_90 (>= tptp.a (- 1)))) (let ((_let_91 (not _let_90))) (let ((_let_92 (ite _let_79 (>= tptp.a 2) _let_91))) (let ((_let_93 (= tptp.a 0))) (let ((_let_94 (not _let_93))) (let ((_let_95 (and _let_82 _let_94 _let_70))) (let ((_let_96 (and _let_92 _let_94 _let_70))) (let ((_let_97 (>= _let_7 0))) (let ((_let_98 (ite _let_97 (ite _let_79 (not (>= _let_77 0)) (>= _let_80 1)) _let_81))) (let ((_let_99 (+ tptp.b _let_30))) (let ((_let_100 (>= _let_99 1))) (let ((_let_101 (+ tptp.b _let_7))) (let ((_let_102 (>= _let_99 0))) (let ((_let_103 (not _let_102))) (let ((_let_104 (ite _let_21 _let_103 (>= _let_101 1)))) (let ((_let_105 (ite _let_97 _let_104 (ite _let_21 (not (>= _let_101 0)) _let_100)))) (let ((_let_106 (not _let_82))) (let ((_let_107 (_let_82))) (let ((_let_108 (_let_90))) (let ((_let_109 ((- 1.0) (/ 1 5) (/ (- 11) 5)))) (let ((_let_110 (_let_19))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (ASSUME :args _let_108))) (let ((_let_113 (1.0 (- 1.0)))) (let ((_let_114 (_let_92))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (NOT_AND (THEORY_LEMMA :args ((not (and _let_6 _let_93)) THEORY_ARITH))) _let_12 :args (_let_94 false _let_6)))) (let ((_let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_22))))) (let ((_let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))))) (let ((_let_118 (_let_95))) (let ((_let_119 (not _let_92))) (let ((_let_120 (_let_96))) (let ((_let_121 (- tptp.a))) (let ((_let_122 (- _let_7))) (let ((_let_123 (- 1))) (let ((_let_124 (- tptp.b))) (let ((_let_125 (>= 1 0))) (let ((_let_126 (=> (and (ite _let_21 (ite _let_125 (> tptp.b 1) (> tptp.b _let_123)) (ite _let_125 (> _let_124 1) (> _let_124 _let_123))) _let_94 _let_70) (ite _let_97 (ite _let_79 (> _let_7 tptp.a) (> _let_7 _let_121)) (ite _let_79 (> _let_122 tptp.a) (> _let_122 _let_121)))))) (let ((_let_127 (=> (and (ite _let_79 (ite _let_125 (> tptp.a 1) (> tptp.a _let_123)) (ite _let_125 (> _let_121 1) (> _let_121 _let_123))) _let_94 _let_70) (ite _let_97 (ite _let_21 (> _let_7 tptp.b) (> _let_7 _let_124)) (ite _let_21 (> _let_122 tptp.b) (> _let_122 _let_124)))))) (let ((_let_128 (not _let_104))) (let ((_let_129 (NOT_OR_ELIM _let_13 :args (0)))) (let ((_let_130 (not _let_100))) (let ((_let_131 (not _let_83))) (let ((_let_132 (ASSUME :args (_let_131)))) (let ((_let_133 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_132 :args ((< _let_7 (- 2))))))) (let ((_let_134 (_let_100))) (let ((_let_135 ((< _let_99 0)))) (let ((_let_136 (ASSUME :args _let_134))) (let ((_let_137 (not _let_19))) (let ((_let_138 (not _let_78))) (let ((_let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_19))))) (let ((_let_140 (<= _let_7 (- 3)))) (let ((_let_141 (_let_140))) (let ((_let_142 ((< tptp.b 2)))) (let ((_let_143 (_let_137))) (let ((_let_144 (ASSUME :args _let_143))) (let ((_let_145 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_144 :args _let_142)))) (let ((_let_146 (ASSUME :args (_let_138)))) (let ((_let_147 (= _let_77 0))) (let ((_let_148 (_let_147))) (let ((_let_149 (ASSUME :args (_let_78)))) (let ((_let_150 (ASSUME :args (_let_75)))) (let ((_let_151 (or _let_76 (= _let_7 tptp.a)))) (let ((_let_152 (_let_76))) (let ((_let_153 (ASSUME :args _let_152))) (let ((_let_154 (ASSUME :args _let_71))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_153 _let_144 _let_47 _let_154) :args (_let_21 _let_70 _let_137 _let_76)) (SCOPE (CONTRA (ARITH_TRICHOTOMY _let_145 (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_47 _let_154 :args ((> tptp.b 0)))) :args (_let_23)) (MACRO_SR_PRED_TRANSFORM _let_153 :args _let_152)) :args (_let_76 _let_137 _let_21 _let_70)) :args ((not (and _let_21 _let_70 _let_137 _let_76)) SB_LITERAL))) (CONG _let_44 _let_116 _let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_23))) :args _let_42)) :args ((or _let_22 _let_19 _let_26 _let_23))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (THEORY_LEMMA :args (_let_151 THEORY_ARITH)) (REWRITE :args (_let_151))) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_150 _let_149) :args (_let_78 _let_75)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM _let_150 :args _let_148) :args _let_148) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_148) _let_149 :args _let_113) :args _let_38) :args _let_148) :args ((not _let_147)))) :args (_let_75 _let_78)) :args ((not (and _let_78 _let_75)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_12 _let_144 _let_146 _let_132) :args (_let_6 _let_131 _let_137 _let_138)) (SCOPE (CONTRA _let_133 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_141) (MACRO_SR_PRED_TRANSFORM _let_146 :args ((< _let_77 1))) _let_145 _let_40 :args (1.0 1.0 (/ 11 5) (/ (- 1) 5))) :args _let_38) :args _let_141) :args ((> _let_7 (- 3)))) :args ((not _let_140)))) :args (_let_6 _let_137 _let_138 _let_131)) :args ((not (and _let_6 _let_131 _let_137 _let_138)) SB_LITERAL))) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_131) _let_83))) _let_139 (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_78))) :args _let_42)) :args ((or _let_83 _let_52 _let_19 _let_78))) _let_129 _let_12 (REORDERING (CNF_ITE_NEG1 :args _let_107) :args ((or _let_137 _let_26 _let_82))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_105)) :args ((or _let_104 (not _let_97) (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_104)) :args ((or _let_103 _let_26 _let_128))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_136 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_135) _let_136 :args _let_113) :args _let_38) :args _let_135) :args (_let_102)) :args _let_134)) :args _let_134)) :args ((or _let_102 _let_130))) (MACRO_RESOLUTION_TRUST (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_130)) :args ((< _let_99 1))) _let_133 _let_40 _let_68 :args (1.0 1.0 (- 1.0) 5.0)) :args _let_38) :args (_let_131 _let_6 _let_33 _let_130))) :args ((or _let_83 _let_52 _let_24 _let_100))) _let_129 _let_12 _let_66 :args (_let_100 true _let_83 false _let_6 true _let_24)) :args (_let_102 false _let_100)) _let_69 :args (_let_128 false _let_102 false _let_21)) (REORDERING (CNF_ITE_POS2 :args (_let_98)) :args ((or _let_97 _let_81 (not _let_98)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_127 THEORY_ARITH)) (REWRITE :args (_let_127)))) :args ((or _let_105 (not _let_96)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_126 THEORY_ARITH)) (REWRITE :args (_let_126)))) :args ((or _let_98 (not _let_95)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_120) (CONG (REFL :args _let_120) (REFL :args (_let_119)) _let_117 _let_116 :args _let_42)) :args ((or _let_93 _let_22 _let_96 _let_119))) _let_115 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_118) (CONG (REFL :args _let_118) (REFL :args (_let_106)) _let_117 _let_116 :args _let_42)) :args ((or _let_93 _let_22 _let_95 _let_106))) _let_115 (REORDERING (EQ_RESOLVE (CNF_ITE_NEG2 :args _let_114) (CONG (REFL :args _let_114) (REFL :args _let_87) (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_90))) :args _let_42)) :args ((or _let_79 _let_90 _let_92))) _let_89 (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_74 :args _let_73) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_74 _let_111 :args _let_113) :args _let_38) :args _let_73) :args _let_71)) :args (_let_22 _let_19))) (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_111 _let_12 _let_112) :args (_let_6 _let_90 _let_19)) (SCOPE (CONTRA _let_112 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_112 _let_40 _let_111 :args _let_109) :args _let_38) :args _let_108) :args ((< tptp.a (- 1)))) :args (_let_91))) :args (_let_19 _let_6 _let_90)) :args ((not (and _let_6 _let_90 _let_19)) SB_LITERAL))) _let_12 (REORDERING (CNF_ITE_POS1 :args _let_107) :args ((or _let_19 _let_26 _let_106))) _let_69 :args ((or _let_81 _let_106) true _let_104 false _let_97 false _let_105 false _let_98 false _let_96 true _let_93 false _let_95 true _let_93 false _let_92 true _let_79 true _let_22 true _let_90 false _let_6 false _let_19 false _let_21)) (REORDERING (CNF_ITE_POS2 :args (_let_81)) :args ((or _let_79 _let_78 (not _let_81)))) _let_89 :args (_let_78 true _let_83 false _let_6 true _let_19 false _let_21 true _let_82 true _let_81 true _let_79)) :args ((not _let_75) false _let_78)) :args (_let_76 true _let_75)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 _let_12 _let_74) :args (_let_6 _let_33 _let_22)) (SCOPE (CONTRA _let_74 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_74 _let_40 _let_68 :args (1.0 (- 1.0) 5.0)) :args _let_38) :args _let_73) :args _let_71) :args _let_71)) :args (_let_33 _let_6 _let_22)) :args ((not (and _let_6 _let_33 _let_22)) SB_LITERAL))) (CONG _let_53 _let_72 (REFL :args _let_71) :args _let_42)) _let_66 _let_12 :args (_let_70 true _let_24 false _let_6)) _let_69 :args (_let_19 true _let_23 true _let_22 false _let_21)))) (let ((_let_156 (ASSUME :args (_let_17)))) (let ((_let_157 (_let_18))) (let ((_let_158 (<= _let_16 (- 1)))) (let ((_let_159 (_let_158))) (let ((_let_160 (ASSUME :args (_let_9)))) (let ((_let_161 (ASSUME :args (_let_20)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_12 _let_160 _let_161) :args (_let_6 _let_20 _let_9)) (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_161 :args ((< _let_16 0)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_159) _let_160 _let_40 :args (1.0 (/ (- 1) 11) (/ (- 2) 11))) :args _let_38) :args _let_159) :args ((> _let_16 (- 1)))) :args ((not _let_158)))) :args (_let_6 _let_9 _let_20)) :args ((not (and _let_6 _let_20 _let_9)) SB_LITERAL))) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_17))) (REFL :args _let_157) :args _let_42)) _let_12 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_12 _let_156 _let_111) :args (_let_6 _let_19 _let_17)) (SCOPE (CONTRA _let_111 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_111 _let_156 _let_40 :args ((- 1.0) (- 5.0) 1.0)) :args _let_38) :args _let_110) :args _let_142) :args _let_143)) :args (_let_6 _let_17 _let_19)) :args ((not (and _let_6 _let_19 _let_17)) SB_LITERAL))) _let_12 _let_155 :args (_let_20 false _let_6 false _let_19)) :args (_let_18 false _let_6 true _let_17)))) (let ((_let_163 (= tptp.a (- 13)))) (let ((_let_164 (>= tptp.a (- 13)))) (let ((_let_165 (>= tptp.b 7))) (let ((_let_166 (>= tptp.b 8))) (let ((_let_167 (not _let_165))) (let ((_let_168 (>= tptp.a (- 17)))) (let ((_let_169 (not _let_166))) (let ((_let_170 (>= (+ (* 2 tptp.a) _let_30) 0))) (let ((_let_171 (and _let_84 _let_19))) (let ((_let_172 (_let_171))) (let ((_let_173 (* (- 1) (- 2)))) (let ((_let_174 ((=> (and (< tptp.a 0) _let_19) (<= _let_1 (* tptp.a _let_173)))))) (let ((_let_175 (not _let_168))) (let ((_let_176 (REFL :args _let_60))) (let ((_let_177 (ASSUME :args (_let_170)))) (let ((_let_178 ((< tptp.a (- 17))))) (let ((_let_179 (_let_175))) (let ((_let_180 (ASSUME :args _let_179))) (let ((_let_181 (_let_168))) (let ((_let_182 (ASSUME :args (_let_166)))) (let ((_let_183 (ASSUME :args _let_181))) (let ((_let_184 (_let_167))) (let ((_let_185 (not _let_164))) (let ((_let_186 (< tptp.a (- 13)))) (let ((_let_187 ((or _let_163 (or _let_185 _let_9))))) (let ((_let_188 (> tptp.a (- 13)))) (let ((_let_189 (not _let_188))) (let ((_let_190 (not _let_186))) (let ((_let_191 (not _let_163))) (let ((_let_192 (not _let_10))) (let ((_let_193 (ASSUME :args _let_157))) (let ((_let_194 (ASSUME :args (_let_10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_193 _let_194 _let_12 _let_65) :args (_let_6 _let_8 _let_18 _let_10)) (SCOPE (CONTRA _let_65 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_65 _let_40 (MACRO_SR_PRED_TRANSFORM _let_194 :args ((= (+ (* 13 tptp.b) _let_7) 0))) (MACRO_SR_PRED_TRANSFORM _let_193 :args ((< tptp.a (- 12)))) :args ((- 1.0) (/ (- 13) 11) 1.0 (/ 65 11))) :args _let_38) :args _let_62) :args _let_61) :args _let_60)) :args (_let_18 _let_10 _let_6 _let_8)) :args ((not (and _let_6 _let_8 _let_18 _let_10)) SB_LITERAL))) (CONG _let_53 _let_176 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_9))) (REFL :args (_let_192)) :args _let_42)) :args ((or _let_59 _let_52 _let_9 _let_192))) (MACRO_RESOLUTION_TRUST (THEORY_LEMMA :args ((or _let_191 _let_10) THEORY_ARITH)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (CONTRA (ARITH_TRICHOTOMY (ASSUME :args (_let_190)) (ASSUME :args (_let_191)) :args (_let_188)) (ASSUME :args (_let_189))) :args (_let_191 _let_190 _let_189))) :args _let_187) (REWRITE :args _let_187)) :args ((or _let_185 _let_9 _let_163))) (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_185)) :args (_let_186)) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_184) :args ((< tptp.b 7)))) _let_40 :args (1.0 (/ 11 5) (/ (- 1) 5))) :args _let_38) :args (_let_167 _let_6 _let_185))) :args ((or _let_165 _let_52 _let_164))) :args ((or _let_52 _let_164 _let_165))) _let_12 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_12 (ASSUME :args (_let_169)) (ASSUME :args (_let_165))) :args (_let_6 _let_165 _let_169)) (THEORY_LEMMA :args ((not (and _let_6 _let_169 _let_165)) THEORY_ARITH)) :args ((not (and _let_6 _let_165 _let_169)) SB_LITERAL))) (CONG _let_53 (REFL :args _let_184) (MACRO_SR_PRED_INTRO :args ((= (not _let_169) _let_166))) :args _let_42)) _let_12 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_182 _let_12 _let_183) :args (_let_6 _let_168 _let_166)) (SCOPE (CONTRA _let_183 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_183 _let_40 _let_182 :args _let_109) :args _let_38) :args _let_181) :args _let_178) :args _let_179)) :args (_let_166 _let_6 _let_168)) :args ((not (and _let_6 _let_168 _let_166)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_177 _let_180 _let_65) :args (_let_8 _let_175 _let_170)) (SCOPE (CONTRA _let_65 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_65 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_180 :args _let_178)) _let_177 :args ((- 1.0) 2.0 (- 1.0))) :args _let_38) :args _let_62) :args _let_61) :args _let_60)) :args (_let_170 _let_175 _let_8)) :args ((not (and _let_8 _let_175 _let_170)) SB_LITERAL))) (CONG _let_176 (MACRO_SR_PRED_INTRO :args ((= (not _let_175) _let_168))) (REFL :args ((not _let_170))) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.a (>= tptp.b _let_173))) :args _let_174) (REWRITE :args _let_174))) :args ((or _let_170 (not _let_171)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_172) (CONG (REFL :args _let_172) (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_79))) (REFL :args _let_143) :args _let_42)) :args ((or _let_79 _let_137 _let_171))) _let_89 _let_155 :args (_let_171 true _let_79 false _let_19)) :args (_let_170 false _let_171)) _let_14 :args (_let_168 false _let_170 false _let_8)) _let_12 :args (_let_169 false _let_168 false _let_6)) :args (_let_167 false _let_6 true _let_166)) :args (_let_164 false _let_6 true _let_165)) _let_162 :args (_let_163 false _let_164 true _let_9)) :args (_let_10 false _let_163)) _let_162 _let_14 _let_12 :args (false false _let_10 true _let_9 false _let_8 false _let_6)) :args (_let_5 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.57 )
% 0.17/0.57 % SZS output end Proof for ARI664_1
% 0.17/0.57 % cvc5---1.0.5 exiting
% 0.17/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------