TSTP Solution File: ARI679_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI679_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 17:31:44 EDT 2023
% Result : Theorem 0.20s 0.56s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI679_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 17:47:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_ARI
% 0.20/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YQQlov8OAR/cvc5---1.0.5_29138.p...
% 0.20/0.56 ------- get file name : TPTP file name is ARI679_1
% 0.20/0.56 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29138.smt2...
% 0.20/0.56 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.56 % SZS status Theorem for ARI679_1
% 0.20/0.56 % SZS output start Proof for ARI679_1
% 0.20/0.56 (
% 0.20/0.56 (let ((_let_1 (- tptp.d 3))) (let ((_let_2 (* tptp.c tptp.d))) (let ((_let_3 (not (= (<= (* 2 3) _let_2) (<= (* 2 _let_1) (* tptp.c _let_1)))))) (let ((_let_4 (<= 2 tptp.c))) (let ((_let_5 (<= 3 tptp.d))) (let ((_let_6 (>= tptp.c 2))) (let ((_let_7 (>= tptp.c 3))) (let ((_let_8 (= tptp.c 2))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (* tptp.d tptp.c))) (let ((_let_11 (* (- 1) _let_10))) (let ((_let_12 (+ (* 5 tptp.c) _let_11))) (let ((_let_13 (>= _let_12 1))) (let ((_let_14 (not _let_7))) (let ((_let_15 (>= tptp.d 5))) (let ((_let_16 (>= tptp.c 1))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (not _let_13))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (not _let_6))) (let ((_let_22 (REFL :args (_let_21)))) (let ((_let_23 (> tptp.c 0))) (let ((_let_24 (_let_20))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 ((<= tptp.c 0)))) (let ((_let_27 (false))) (let ((_let_28 (1.0 (- 1.0)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_25 _let_9) :args (_let_6 _let_20)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_26) _let_9 :args _let_28) :args _let_27) :args _let_26) :args (_let_23)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_25 :args ((< tptp.c 1)))) :args ((not _let_23)))) :args (_let_20 _let_6)) :args ((not (and _let_6 _let_20)) SB_LITERAL))) (CONG _let_22 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) :args _let_19)) _let_9 :args (_let_16 false _let_6)))) (let ((_let_30 (= tptp.d 4))) (let ((_let_31 (>= tptp.d 4))) (let ((_let_32 (* 4 tptp.c))) (let ((_let_33 (= _let_10 _let_32))) (let ((_let_34 (* 3 tptp.c))) (let ((_let_35 (* 2 tptp.d))) (let ((_let_36 (+ _let_35 _let_34 _let_11))) (let ((_let_37 (>= _let_36 7))) (let ((_let_38 (not _let_30))) (let ((_let_39 (>= _let_10 6))) (let ((_let_40 (>= tptp.d 3))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (not _let_40))) (let ((_let_44 (not _let_39))) (let ((_let_45 (not _let_37))) (let ((_let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_37))))) (let ((_let_47 (REFL :args (_let_43)))) (let ((_let_48 (<= _let_10 5))) (let ((_let_49 (_let_48))) (let ((_let_50 ((< _let_36 7)))) (let ((_let_51 (_let_45))) (let ((_let_52 (_let_44))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_EQUIV_ELIM2 _let_41) (CONG (REFL :args _let_52) _let_46 :args _let_19)) :args ((or _let_37 _let_44))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_52) :args ((< _let_10 6)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_49) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_51) :args _let_50) _let_9 _let_42 :args (1.0 1.0 (- 3.0) (- 2.0))) :args _let_27) :args _let_49) :args ((> _let_10 5))) :args ((not _let_48)))) :args (_let_40 _let_6 _let_45 _let_44))) (CONG _let_47 _let_22 _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_39))) :args _let_19)) :args ((or _let_39 _let_37 _let_43 _let_21))) _let_9 _let_42 (NOT_EQUIV_ELIM1 _let_41) :args (_let_39 false _let_6 false _let_40 true _let_37)) :args (_let_37 false _let_39)))) (let ((_let_54 (= (+ _let_32 _let_11) 0))) (let ((_let_55 ((not _let_54)))) (let ((_let_56 (_let_54))) (let ((_let_57 (ASSUME :args (_let_30)))) (let ((_let_58 (_let_37))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (ASSUME :args (_let_33)))) (let ((_let_61 (= tptp.d 3))) (let ((_let_62 (= _let_10 _let_34))) (let ((_let_63 (not _let_61))) (let ((_let_64 (not _let_31))) (let ((_let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_31))))) (let ((_let_66 (_let_63))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (< tptp.d 4))) (let ((_let_69 (ASSUME :args (_let_64)))) (let ((_let_70 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_69 :args (_let_68))))) (let ((_let_71 (REFL :args _let_51))) (let ((_let_72 (= (+ _let_34 _let_11) 0))) (let ((_let_73 ((not _let_72)))) (let ((_let_74 (_let_72))) (let ((_let_75 (ASSUME :args (_let_62)))) (let ((_let_76 ((or _let_30 (or _let_64 _let_15))))) (let ((_let_77 (> tptp.d 4))) (let ((_let_78 (not _let_77))) (let ((_let_79 (not _let_68))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (CONTRA (ARITH_TRICHOTOMY (ASSUME :args (_let_79)) (ASSUME :args (_let_38)) :args (_let_77)) (ASSUME :args (_let_78))) :args (_let_38 _let_79 _let_78))) :args _let_76) (REWRITE :args _let_76)) :args ((or _let_64 _let_15 _let_30))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_69 _let_59 _let_75) :args (_let_37 _let_64 _let_62)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_75 :args _let_74) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_74) _let_59 _let_70 :args (1.0 (- 1.0) 2.0)) :args _let_27) :args _let_74) :args _let_73) :args _let_73)) :args (_let_64 _let_37 _let_62)) :args ((not (and _let_37 _let_64 _let_62)) SB_LITERAL))) (CONG _let_71 _let_65 (REFL :args ((not _let_62))) :args _let_19)) _let_53 (THEORY_LEMMA :args ((or _let_63 _let_62) THEORY_ARITH)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 _let_69 _let_42) :args (_let_40 _let_64 _let_63)) (SCOPE (CONTRA (ARITH_TRICHOTOMY _let_70 _let_42 :args (_let_61)) (MACRO_SR_PRED_TRANSFORM _let_67 :args _let_66)) :args (_let_63 _let_64 _let_40)) :args ((not (and _let_40 _let_64 _let_63)) SB_LITERAL))) (CONG _let_47 _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_61))) :args _let_19)) _let_42 :args (_let_31 false _let_37 false _let_62 false _let_61 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_9 _let_57 _let_59 _let_60) :args (_let_6 _let_37 _let_30 _let_33)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_60 :args _let_56) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_56) _let_59 _let_57 _let_9 :args (1.0 (- 1.0) 2.0 (- 1.0))) :args _let_27) :args _let_56) :args _let_55) :args _let_55)) :args (_let_6 _let_30 _let_37 _let_33)) :args ((not (and _let_6 _let_37 _let_30 _let_33)) SB_LITERAL))) :args ((or _let_45 _let_21 _let_38 (not _let_33)))) _let_53 _let_9 (THEORY_LEMMA :args ((or _let_38 _let_33) THEORY_ARITH)) :args (_let_38 false _let_37 false _let_6 false _let_33)) :args (_let_15 false _let_31 true _let_30)))) (let ((_let_81 (not _let_15))) (let ((_let_82 (* (- 1) (- 5)))) (let ((_let_83 ((=> (and _let_23 _let_15) (>= _let_2 (* tptp.c _let_82)))))) (let ((_let_84 (= tptp.d 6))) (let ((_let_85 (>= tptp.d 6))) (let ((_let_86 (>= tptp.d 7))) (let ((_let_87 (>= tptp.d 1))) (let ((_let_88 (and _let_87 _let_7))) (let ((_let_89 (and _let_16 _let_86))) (let ((_let_90 (+ (* 3 tptp.d) _let_11))) (let ((_let_91 (>= _let_90 1))) (let ((_let_92 (+ (* 7 tptp.c) _let_11))) (let ((_let_93 (>= _let_92 1))) (let ((_let_94 (= tptp.c 11))) (let ((_let_95 (>= tptp.c 11))) (let ((_let_96 (>= tptp.c 12))) (let ((_let_97 (and _let_87 _let_96))) (let ((_let_98 (+ (* 11 tptp.d) _let_11))) (let ((_let_99 (>= _let_98 0))) (let ((_let_100 (REFL :args (_let_14)))) (let ((_let_101 (not _let_84))) (let ((_let_102 (_let_101))) (let ((_let_103 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_13))))) (let ((_let_104 (ASSUME :args (_let_7)))) (let ((_let_105 (ASSUME :args (_let_84)))) (let ((_let_106 (ASSUME :args (_let_18)))) (let ((_let_107 (MACRO_SR_PRED_TRANSFORM _let_106 :args ((< _let_12 1))))) (let ((_let_108 (not _let_85))) (let ((_let_109 (< tptp.d 6))) (let ((_let_110 (not _let_109))) (let ((_let_111 (_let_110))) (let ((_let_112 (_let_85))) (let ((_let_113 (_let_109))) (let ((_let_114 (ASSUME :args (_let_108)))) (let ((_let_115 ((or _let_84 (or _let_108 _let_86))))) (let ((_let_116 (> tptp.d 6))) (let ((_let_117 (not _let_116))) (let ((_let_118 (_let_15))) (let ((_let_119 ((< tptp.d 5)))) (let ((_let_120 (ASSUME :args _let_112))) (let ((_let_121 (not _let_87))) (let ((_let_122 (> tptp.d 0))) (let ((_let_123 (ASSUME :args (_let_121)))) (let ((_let_124 ((<= tptp.d 0)))) (let ((_let_125 (ASSUME :args _let_118))) (let ((_let_126 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_123 _let_125) :args (_let_15 _let_121)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_124) _let_125 :args _let_28) :args _let_27) :args _let_124) :args (_let_122)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_123 :args ((< tptp.d 1)))) :args ((not _let_122)))) :args (_let_121 _let_15)) :args ((not (and _let_15 _let_121)) SB_LITERAL))) (CONG (REFL :args (_let_81)) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_87))) :args _let_19)))) (let ((_let_127 (not _let_91))) (let ((_let_128 (* (- 1) (- 3)))) (let ((_let_129 (* tptp.d tptp.c))) (let ((_let_130 ((=> (and _let_122 _let_7) (>= _let_129 (* tptp.d _let_128)))))) (let ((_let_131 (not _let_93))) (let ((_let_132 (* (- 1) (- 7)))) (let ((_let_133 ((=> (and _let_23 _let_86) (>= _let_2 (* tptp.c _let_132)))))) (let ((_let_134 (= tptp.d 26))) (let ((_let_135 (>= tptp.d 27))) (let ((_let_136 (>= tptp.d 26))) (let ((_let_137 (not _let_94))) (let ((_let_138 (= _let_10 286))) (let ((_let_139 (not _let_134))) (let ((_let_140 (_let_94))) (let ((_let_141 (not _let_96))) (let ((_let_142 (_let_141))) (let ((_let_143 ((< tptp.c 12)))) (let ((_let_144 (_let_96))) (let ((_let_145 ((- 1.0) 1.0))) (let ((_let_146 (ASSUME :args _let_140))) (let ((_let_147 (_let_134))) (let ((_let_148 (not _let_135))) (let ((_let_149 (_let_148))) (let ((_let_150 ((< tptp.d 27)))) (let ((_let_151 (_let_135))) (let ((_let_152 (ASSUME :args _let_147))) (let ((_let_153 (ASSUME :args _let_151))) (let ((_let_154 (ASSUME :args _let_142))) (let ((_let_155 (ASSUME :args (_let_138)))) (let ((_let_156 (ASSUME :args _let_149))) (let ((_let_157 (_let_137))) (let ((_let_158 (REFL :args _let_157))) (let ((_let_159 (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_91))))) (let ((_let_160 (ASSUME :args (_let_127)))) (let ((_let_161 (MACRO_SR_PRED_TRANSFORM _let_160 :args ((< _let_90 1))))) (let ((_let_162 (not _let_136))) (let ((_let_163 ((or _let_134 (or _let_162 _let_135))))) (let ((_let_164 (> tptp.d 26))) (let ((_let_165 (not _let_164))) (let ((_let_166 (< tptp.d 26))) (let ((_let_167 (not _let_166))) (let ((_let_168 (MACRO_SR_PRED_INTRO :args ((= (not _let_131) _let_93))))) (let ((_let_169 (< _let_92 1))) (let ((_let_170 (_let_169))) (let ((_let_171 (ASSUME :args (_let_162)))) (let ((_let_172 (ASSUME :args (_let_131)))) (let ((_let_173 (MACRO_SR_PRED_TRANSFORM _let_172 :args _let_170))) (let ((_let_174 (not _let_95))) (let ((_let_175 (< tptp.c 11))) (let ((_let_176 (ASSUME :args (_let_174)))) (let ((_let_177 ((or _let_94 (or _let_174 _let_96))))) (let ((_let_178 (> tptp.c 11))) (let ((_let_179 (not _let_178))) (let ((_let_180 (not _let_175))) (let ((_let_181 (not _let_99))) (let ((_let_182 (* (- 1) (- 11)))) (let ((_let_183 (> tptp.c _let_182))) (let ((_let_184 (ASSUME :args (_let_181)))) (let ((_let_185 (ASSUME :args (_let_16)))) (let ((_let_186 (+ _let_35 _let_11))) (let ((_let_187 (>= _let_186 1))) (let ((_let_188 (not _let_8))) (let ((_let_189 (and _let_87 _let_6))) (let ((_let_190 (not _let_187))) (let ((_let_191 (* (- 1) (- 2)))) (let ((_let_192 ((=> (and _let_122 _let_6) (>= _let_129 (* tptp.d _let_191)))))) (let ((_let_193 (_let_188))) (let ((_let_194 (_let_8))) (let ((_let_195 (ASSUME :args (_let_190)))) (let ((_let_196 (ASSUME :args _let_194))) (let ((_let_197 ((or _let_8 (or _let_21 _let_7))))) (let ((_let_198 (> tptp.c 2))) (let ((_let_199 (not _let_198))) (let ((_let_200 (not (< tptp.c 2)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (CONTRA (ARITH_TRICHOTOMY (ASSUME :args (_let_200)) (ASSUME :args _let_193) :args (_let_198)) (ASSUME :args (_let_199))) :args (_let_188 _let_200 _let_199))) :args _let_197) (REWRITE :args _let_197)) :args ((or _let_21 _let_7 _let_8))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_195 _let_59 _let_196) :args (_let_37 _let_190 _let_8)) (SCOPE (CONTRA _let_196 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_196 _let_59 (MACRO_SR_PRED_TRANSFORM _let_195 :args ((< _let_186 1))) :args (1.0 (/ (- 1) 3) (/ 1 3))) :args _let_27) :args _let_194) :args _let_193) :args _let_193)) :args (_let_190 _let_37 _let_8)) :args ((not (and _let_37 _let_190 _let_8)) SB_LITERAL))) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_190) _let_187))) (REFL :args _let_193) :args _let_19)) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_POS :args (tptp.d (>= tptp.c _let_191))) :args _let_192) (REWRITE :args _let_192))) :args ((or _let_190 (not _let_189)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_189)) :args ((or _let_21 _let_121 _let_189))) _let_9 (MACRO_RESOLUTION_TRUST _let_126 _let_80 :args (_let_87 false _let_15)) :args (_let_189 false _let_6 false _let_87)) :args (_let_190 false _let_189)) :args (_let_188 false _let_37 true _let_187)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_184 _let_185 _let_172 _let_59) :args (_let_37 _let_16 _let_131 _let_181)) (SCOPE (CONTRA _let_59 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_59 _let_173 _let_185 (MACRO_SR_PRED_TRANSFORM _let_184 :args ((< _let_98 0))) :args ((- 1.0) (/ 9 11) (/ (- 30) 11) (/ 2 11))) :args _let_27) :args _let_58) :args _let_50) :args _let_51)) :args (_let_181 _let_16 _let_131 _let_37)) :args ((not (and _let_37 _let_16 _let_131 _let_181)) SB_LITERAL))) (CONG _let_71 (REFL :args _let_24) _let_168 (MACRO_SR_PRED_INTRO :args ((= (not _let_181) _let_99))) :args _let_19)) _let_29 _let_53 (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_POS :args (tptp.d _let_183)) (REWRITE :args ((=> (and _let_122 _let_183) (> _let_129 (* tptp.d _let_182))))))) :args ((or _let_181 (not _let_97)))) (REORDERING (CNF_AND_NEG :args (_let_97)) :args ((or _let_121 _let_141 _let_97))) (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (CONTRA (ARITH_TRICHOTOMY (ASSUME :args (_let_180)) (ASSUME :args _let_157) :args (_let_178)) (ASSUME :args (_let_179))) :args (_let_137 _let_180 _let_179))) :args _let_177) (REWRITE :args _let_177)) :args ((or _let_174 _let_96 _let_94))) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_160 _let_176 _let_172 _let_59) :args (_let_37 _let_127 _let_131 _let_174)) (SCOPE (CONTRA _let_59 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_59 _let_173 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_176 :args (_let_175))) (INT_TIGHT_UB _let_161) :args ((- 1.0) (/ 1 3) (/ 2 3) (/ 2 3))) :args _let_27) :args _let_58) :args _let_50) :args _let_51)) :args (_let_127 _let_174 _let_131 _let_37)) :args ((not (and _let_37 _let_127 _let_131 _let_174)) SB_LITERAL))) (CONG _let_71 _let_159 _let_168 (MACRO_SR_PRED_INTRO :args ((= (not _let_174) _let_95))) :args _let_19)) _let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_171 _let_146 _let_59 _let_172) :args (_let_37 _let_131 _let_94 _let_162)) (SCOPE (CONTRA 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_let_135)) (SCOPE (CONTRA _let_153 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_153 _let_161 _let_59 _let_146 :args ((- 1.0) 1.0 (- 1.0) 3.0)) :args _let_27) :args _let_151) :args _let_150) :args _let_149)) :args (_let_94 _let_37 _let_127 _let_135)) :args ((not (and _let_37 _let_127 _let_94 _let_135)) SB_LITERAL))) (CONG _let_71 _let_159 _let_158 (REFL :args _let_149) :args _let_19)) _let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_154 _let_155 _let_156 _let_59) :args (_let_37 _let_141 _let_148 _let_138)) (SCOPE (CONTRA _let_59 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_59 (MACRO_SR_PRED_TRANSFORM _let_156 :args _let_150) _let_155 (MACRO_SR_PRED_TRANSFORM _let_154 :args _let_143) :args ((- 1.0) 2.0 (- 1.0) 3.0)) :args _let_27) :args _let_58) :args _let_50) :args _let_51)) :args (_let_141 _let_138 _let_148 _let_37)) :args ((not (and _let_37 _let_141 _let_148 _let_138)) SB_LITERAL))) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_141) _let_96))) (MACRO_SR_PRED_INTRO :args ((= (not _let_148) _let_135))) (REFL :args ((not _let_138))) :args _let_19)) _let_53 (THEORY_LEMMA :args ((or _let_137 _let_139 _let_138) THEORY_ARITH)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_152 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_153 _let_152 :args _let_145) :args _let_27) :args _let_151) :args _let_150) :args _let_149) :args _let_147)) :args _let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_146 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_144) _let_146 :args _let_145) :args _let_27) :args _let_144) :args _let_143) :args _let_142) :args _let_140)) :args _let_140)) :args ((or _let_137 _let_139) false _let_37 false _let_138 true _let_135 true _let_96)) :args ((or _let_91 _let_93 _let_137) false _let_37 true _let_136 true _let_135 false _let_37 true _let_134)) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_POS :args (tptp.c (>= tptp.d _let_132))) :args _let_133) (REWRITE :args _let_133))) :args ((or _let_131 (not _let_89)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_POS :args (tptp.d (>= tptp.c _let_128))) :args _let_130) (REWRITE :args _let_130))) :args ((or _let_127 (not _let_88)))) (REORDERING (CNF_AND_NEG :args (_let_89)) :args ((or _let_20 (not _let_86) _let_89))) _let_29 (REORDERING (CNF_AND_NEG :args (_let_88)) :args ((or _let_121 _let_14 _let_88))) _let_126 (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_120 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_119) _let_120 :args _let_28) :args _let_27) :args _let_119) :args _let_118) :args _let_112)) :args _let_112)) :args ((or _let_15 _let_108))) (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (CONTRA (ARITH_TRICHOTOMY (ASSUME :args _let_111) (ASSUME :args _let_102) :args (_let_116)) (ASSUME :args (_let_117))) :args (_let_101 _let_110 _let_117))) :args _let_115) (REWRITE :args _let_115)) :args ((or _let_108 _let_86 _let_84))) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_104 _let_59 _let_106 _let_114) :args (_let_37 _let_18 _let_108 _let_7)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_114 :args _let_113) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_113) _let_107 _let_59 _let_104 :args (1.0 (/ 1 2) (/ (- 1) 2) (- 1.0))) :args _let_27) :args _let_113) :args _let_112) :args _let_111)) :args (_let_7 _let_37 _let_18 _let_108)) :args ((not (and _let_37 _let_18 _let_108 _let_7)) SB_LITERAL))) (CONG _let_71 _let_103 (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_85))) _let_100 :args _let_19)) _let_53 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_104 _let_105 _let_106 _let_59) :args (_let_37 _let_18 _let_84 _let_7)) (SCOPE (CONTRA _let_59 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_59 _let_107 _let_105 _let_104 :args ((- 1.0) 1.0 2.0 (- 2.0))) :args _let_27) :args _let_58) :args _let_50) :args _let_51)) :args (_let_7 _let_84 _let_18 _let_37)) :args ((not (and _let_37 _let_18 _let_84 _let_7)) SB_LITERAL))) (CONG _let_71 _let_103 (REFL :args _let_102) _let_100 :args _let_19)) _let_53 :args ((or _let_13 _let_14) false _let_16 false _let_37 true _let_99 false _let_97 false _let_96 false _let_95 false _let_37 true _let_94 true _let_93 true _let_91 false _let_89 false _let_16 false _let_88 false _let_87 false _let_15 false _let_86 false _let_85 false _let_37 true _let_84 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_POS :args (tptp.c (>= tptp.d _let_82))) :args _let_83) (REWRITE :args _let_83))) :args ((or _let_18 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or _let_81 _let_20 _let_17))) _let_80 _let_29 :args (_let_17 false _let_15 false _let_16)) :args (_let_18 false _let_17)) :args (_let_14 true _let_13)) _let_9 :args (false true _let_8 true _let_7 false _let_6)) :args (_let_5 _let_4 _let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57 )
% 0.20/0.57 % SZS output end Proof for ARI679_1
% 0.20/0.57 % cvc5---1.0.5 exiting
% 0.20/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------