TSTP Solution File: ARI649_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI649_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 17:31:37 EDT 2023

% Result   : Theorem 0.20s 0.62s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI649_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 18:17:11 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_ARI
% 0.20/0.62  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.R50eWyTSJu/cvc5---1.0.5_4778.p...
% 0.20/0.62  ------- get file name : TPTP file name is ARI649_1
% 0.20/0.62  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4778.smt2...
% 0.20/0.62  --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.62  % SZS status Theorem for ARI649_1
% 0.20/0.62  % SZS output start Proof for ARI649_1
% 0.20/0.62  (
% 0.20/0.62  (let ((_let_1 (= tptp.a tptp.b))) (let ((_let_2 (not _let_1))) (let ((_let_3 (* tptp.b tptp.b))) (let ((_let_4 (* _let_3 tptp.b))) (let ((_let_5 (= _let_4 (- 125)))) (let ((_let_6 (* tptp.a tptp.a))) (let ((_let_7 (= _let_6 25))) (let ((_let_8 (< tptp.a 0))) (let ((_let_9 (* tptp.a tptp.a))) (let ((_let_10 (+ (* 5 tptp.a) _let_9))) (let ((_let_11 (>= _let_10 1))) (let ((_let_12 (>= tptp.a (- 5)))) (let ((_let_13 (>= tptp.a 0))) (let ((_let_14 (not _let_13))) (let ((_let_15 (and _let_14 _let_12))) (let ((_let_16 (* 25 tptp.b))) (let ((_let_17 (* tptp.a tptp.a tptp.b))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (* tptp.a tptp.b tptp.b))) (let ((_let_20 (+ _let_17 (* (- 1) _let_19)))) (let ((_let_21 (>= _let_20 0))) (let ((_let_22 (* tptp.b tptp.b tptp.b))) (let ((_let_23 (+ _let_19 (* (- 1) _let_22)))) (let ((_let_24 (>= _let_23 0))) (let ((_let_25 (+ tptp.a (* (- 1) tptp.b)))) (let ((_let_26 (>= _let_25 1))) (let ((_let_27 (= _let_22 (- 125)))) (let ((_let_28 (= _let_9 25))) (let ((_let_29 (>= tptp.b 0))) (let ((_let_30 (not _let_29))) (let ((_let_31 (and _let_30 _let_28))) (let ((_let_32 (= tptp.b 0))) (let ((_let_33 (>= tptp.b 1))) (let ((_let_34 (= _let_22 0))) (let ((_let_35 (not _let_32))) (let ((_let_36 (1))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (AND_INTRO _let_38 _let_37))) (let ((_let_40 (AND_ELIM _let_39 :args _let_36))) (let ((_let_41 (_let_27))) (let ((_let_42 (=))) (let ((_let_43 (0))) (let ((_let_44 (_let_32))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MACRO_SR_PRED_INTRO (ASSUME :args _let_44) :args (_let_34)) :args _let_44)) :args ((or _let_34 _let_35))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_37 (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (REFL :args _let_43) (SYMM (SYMM _let_37)) :args _let_42) (MACRO_SR_PRED_INTRO :args ((= (= 0 (- 125)) false)))) :args ((= _let_34 false)))) :args _let_41)) :args _let_41)) _let_40 :args ((not _let_34) false _let_27)) :args (_let_35 true _let_34)))) (let ((_let_46 (>= _let_22 1))) (let ((_let_47 (not _let_33))) (let ((_let_48 (< _let_22 1))) (let ((_let_49 (_let_46))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (false))) (let ((_let_52 ((- 1.0) 1.0))) (let ((_let_53 (> tptp.b 0))) (let ((_let_54 (or))) (let ((_let_55 (_let_30))) (let ((_let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_32))))) (let ((_let_57 (and _let_35 _let_47))) (let ((_let_58 (_let_35 _let_47))) (let ((_let_59 (< tptp.b 0))) (let ((_let_60 (ASSUME :args (_let_47)))) (let ((_let_61 (ASSUME :args (_let_35)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_60) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY _let_61 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_60 :args ((< tptp.b 1)))) :args (_let_59)) :args _let_55) :args _let_58)) :args _let_58)) :args (true _let_57)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_33))) (REFL :args _let_55) :args _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_53 _let_22)) (REWRITE :args ((=> _let_53 (> _let_22 0)))))) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_50 _let_37) :args (_let_27 _let_46)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_50 _let_37 :args _let_52) :args _let_51) :args _let_49) :args (_let_48)) (MACRO_SR_PRED_TRANSFORM _let_50 :args ((not _let_48)))) :args (_let_46 _let_27)) :args ((not (and _let_27 _let_46)) SB_LITERAL))) _let_40 :args ((not _let_46) false _let_27)) :args (_let_47 true _let_46)) _let_45 :args (_let_30 true _let_33 true _let_32)))) (let ((_let_63 (AND_ELIM _let_39 :args _let_43))) (let ((_let_64 (not _let_28))) (let ((_let_65 (REFL :args (_let_64)))) (let ((_let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))))) (let ((_let_67 (_let_31))) (let ((_let_68 (* (- 1) (- 25)))) (let ((_let_69 ((=> (and _let_59 _let_28) (= (* tptp.b _let_9) (* tptp.b _let_68)))))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.b (= _let_9 _let_68))) :args _let_69) (REWRITE :args _let_69))) :args ((or _let_18 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_67) (CONG (REFL :args _let_67) _let_66 _let_65 :args _let_54)) :args ((or _let_64 _let_29 _let_31))) _let_63 _let_62 :args (_let_31 false _let_28 true _let_29)) :args (_let_18 false _let_31)))) (let ((_let_71 (>= _let_20 1))) (let ((_let_72 (+ _let_17 _let_19))) (let ((_let_73 (>= _let_17 0))) (let ((_let_74 (ite _let_73 (not (>= _let_72 0)) _let_71))) (let ((_let_75 (>= _let_72 1))) (let ((_let_76 (not _let_21))) (let ((_let_77 (ite _let_73 _let_76 _let_75))) (let ((_let_78 (>= _let_19 0))) (let ((_let_79 (ite _let_78 _let_77 _let_74))) (let ((_let_80 (= tptp.a 0))) (let ((_let_81 (not _let_80))) (let ((_let_82 (+ tptp.a tptp.b))) (let ((_let_83 (ite _let_13 (not (>= _let_82 0)) _let_26))) (let ((_let_84 (>= _let_25 0))) (let ((_let_85 (not _let_84))) (let ((_let_86 (ite _let_29 (ite _let_13 _let_85 (>= _let_82 1)) _let_83))) (let ((_let_87 (and _let_86 _let_35 _let_81))) (let ((_let_88 (* tptp.b tptp.b))) (let ((_let_89 (>= _let_88 1))) (let ((_let_90 (and _let_89 _let_85))) (let ((_let_91 (* tptp.a tptp.b))) (let ((_let_92 (>= _let_91 1))) (let ((_let_93 (and _let_92 _let_85))) (let ((_let_94 (= tptp.a (- 6)))) (let ((_let_95 (not _let_89))) (let ((_let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))))) (let ((_let_97 (_let_90))) (let ((_let_98 (and _let_14 _let_30))) (let ((_let_99 (_let_8))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args _let_99) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))))) (let ((_let_102 (_let_98))) (let ((_let_103 (not _let_92))) (let ((_let_104 (_let_93))) (let ((_let_105 (not _let_24))) (let ((_let_106 (> tptp.b tptp.a))) (let ((_let_107 (* tptp.a tptp.b))) (let ((_let_108 (not _let_94))) (let ((_let_109 (_let_108))) (let ((_let_110 (not _let_18))) (let ((_let_111 (REFL :args (_let_110)))) (let ((_let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_21))))) (let ((_let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_24))))) (let ((_let_114 (not _let_27))) (let ((_let_115 (REFL :args (_let_114)))) (let ((_let_116 (_let_94))) (let ((_let_117 (< _let_23 0))) (let ((_let_118 (_let_117))) (let ((_let_119 (_let_105))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (MACRO_SR_PRED_TRANSFORM _let_120 :args _let_118))) (let ((_let_122 ((< _let_25 0)))) (let ((_let_123 (_let_85))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 (MACRO_SR_PRED_TRANSFORM _let_124 :args _let_122))) (let ((_let_126 ((< _let_20 0)))) (let ((_let_127 (_let_76))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (MACRO_SR_PRED_TRANSFORM _let_128 :args _let_126))) (let ((_let_130 (ASSUME :args (_let_18)))) (let ((_let_131 (MACRO_SR_PRED_TRANSFORM _let_130 :args ((= (+ _let_16 (* (- 1) _let_17)) 0))))) (let ((_let_132 (ASSUME :args _let_116))) (let ((_let_133 (>= tptp.a (- 6)))) (let ((_let_134 (not _let_133))) (let ((_let_135 (and _let_14 _let_134))) (let ((_let_136 (+ (* 6 tptp.a) _let_9))) (let ((_let_137 (>= _let_136 1))) (let ((_let_138 ((or _let_94 (or _let_134 _let_12))))) (let ((_let_139 (> tptp.a (- 6)))) (let ((_let_140 (not _let_139))) (let ((_let_141 (not (< tptp.a (- 6))))) (let ((_let_142 (_let_135))) (let ((_let_143 (* (- 1) 6))) (let ((_let_144 (< tptp.a _let_143))) (let ((_let_145 ((not _let_137)))) (let ((_let_146 (not _let_12))) (let ((_let_147 (MACRO_SR_PRED_INTRO :args ((= (not _let_146) _let_12))))) (let ((_let_148 (_let_137))) (let ((_let_149 ((< tptp.a (- 5))))) (let ((_let_150 (_let_146))) (let ((_let_151 (ASSUME :args _let_150))) (let ((_let_152 (ASSUME :args _let_148))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_151 _let_38 _let_152) :args (_let_28 _let_146 _let_137)) (SCOPE (CONTRA _let_152 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_152 _let_38 (MACRO_SR_PRED_TRANSFORM _let_151 :args _let_149) :args ((- 1.0) 1.0 6.0)) :args _let_51) :args _let_148) :args ((< _let_136 1))) :args _let_145)) :args (_let_146 _let_28 _let_137)) :args ((not (and _let_28 _let_146 _let_137)) SB_LITERAL))) (CONG _let_65 _let_147 (REFL :args _let_145) :args _let_54)) _let_63 (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_NEG :args (tptp.a _let_144)) (REWRITE :args ((=> (and _let_8 _let_144) (> _let_6 (* tptp.a _let_143))))))) :args ((or _let_137 (not _let_135)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_142) (CONG (REFL :args _let_142) _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_133))) :args _let_54)) :args ((or _let_13 _let_133 _let_135))) _let_100 (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (CONTRA (ARITH_TRICHOTOMY (ASSUME :args (_let_141)) (ASSUME :args _let_109) :args (_let_139)) (ASSUME :args (_let_140))) :args (_let_108 _let_141 _let_140))) :args _let_138) (REWRITE :args _let_138)) :args ((or _let_134 _let_12 _let_94))) :args ((or _let_12 _let_94) false _let_28 false _let_137 false _let_135 true _let_13 true _let_133)))) (let ((_let_154 (REFL :args _let_150))) (let ((_let_155 (_let_24))) (let ((_let_156 (_let_12))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 (ASSUME :args _let_118))) (let ((_let_159 (ASSUME :args (_let_2)))) (let ((_let_160 (not _let_26))) (let ((_let_161 (and _let_2 _let_160))) (let ((_let_162 (_let_2 _let_160))) (let ((_let_163 (_let_160))) (let ((_let_164 (ASSUME :args _let_163))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_161)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_164) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_159 :args ((not (= _let_25 0)))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_164 :args ((< _let_25 1)))) :args _let_122) :args _let_123) :args _let_162)) :args _let_162)) :args (true _let_161)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (MACRO_SR_PRED_INTRO :args ((= (not _let_160) _let_26))) (REFL :args _let_123) :args _let_54)) _let_159 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_157 _let_37 _let_130 _let_128 _let_124 _let_120) :args (_let_27 _let_85 _let_105 _let_76 _let_18 _let_12)) (SCOPE (CONTRA _let_121 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_158 _let_125 _let_129 _let_131 _let_37 _let_157 :args (1.0 25.0 1.0 1.0 1.0 (- 25.0))) :args _let_51) :args _let_118) :args _let_155) :args ((not _let_117)))) :args (_let_12 _let_27 _let_18 _let_76 _let_85 _let_105)) :args ((not (and _let_27 _let_85 _let_105 _let_76 _let_18 _let_12)) SB_LITERAL))) (CONG _let_115 _let_96 _let_113 _let_112 _let_111 _let_154 :args _let_54)) _let_70 _let_40 _let_153 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_120 _let_124 _let_128 _let_130 _let_37 _let_132) :args (_let_27 _let_85 _let_105 _let_76 _let_18 _let_94)) (SCOPE (CONTRA _let_132 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_132 _let_37 _let_131 _let_129 (INT_TIGHT_UB _let_125) _let_121 :args ((- 1.0) (/ 1 25) (/ 1 25) (/ 1 25) 1.0 (/ 1 25))) :args _let_51) :args _let_116) :args _let_109) :args _let_109)) :args (_let_105 _let_85 _let_76 _let_18 _let_27 _let_94)) :args ((not (and _let_27 _let_85 _let_105 _let_76 _let_18 _let_94)) SB_LITERAL))) (CONG _let_115 _let_96 _let_113 _let_112 _let_111 (REFL :args _let_109) :args _let_54)) _let_70 _let_40 (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_POS :args (_let_107 _let_106)) (REWRITE :args ((=> (and (> _let_107 0) _let_106) (> (* _let_107 tptp.b) (* _let_107 tptp.a))))))) :args ((or _let_76 (not _let_93)))) (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_POS :args (_let_3 _let_106)) (REWRITE :args ((=> (and (> _let_3 0) _let_106) (> _let_4 (* _let_3 tptp.a))))))) :args ((or _let_105 (not _let_90)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_104) (CONG (REFL :args _let_104) (REFL :args (_let_103)) _let_96 :args _let_54)) :args ((or _let_84 _let_103 _let_93))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_8 _let_59 _let_91)) (REWRITE :args ((=> (and _let_8 _let_59) (> _let_91 0)))))) :args ((or _let_92 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_102) (CONG (REFL :args _let_102) _let_101 _let_66 :args _let_54)) :args ((or _let_13 _let_29 _let_98))) _let_100 _let_62 :args (_let_98 true _let_13 true _let_29)) :args (_let_92 false _let_98)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_97) (CONG (REFL :args _let_97) (REFL :args (_let_95)) _let_96 :args _let_54)) :args ((or _let_84 _let_95 _let_90))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_35 _let_88)) (REWRITE :args ((=> _let_35 (> _let_88 0)))))) (CONG _let_56 (REFL :args (_let_89)) :args _let_54)) _let_45 :args (_let_89 true _let_32)) :args (_let_84 false _let_18 false _let_27 false _let_12 true _let_94 false _let_18 false _let_27 true _let_21 true _let_24 false _let_93 false _let_92 false _let_90 false _let_89)) :args (_let_26 true _let_1 false _let_84)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG2 :args (_let_86)) :args ((or _let_29 _let_86 (not _let_83)))) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG2 :args (_let_83)) :args ((or _let_13 _let_160 _let_83))) _let_100 _let_165 :args (_let_83 true _let_13 false _let_26)) :args (_let_86 true _let_29 false _let_83)))) (let ((_let_167 (>= tptp.a (- 1)))) (let ((_let_168 (= tptp.a (- 1)))) (let ((_let_169 (not _let_167))) (let ((_let_170 (= tptp.a 1))) (let ((_let_171 (or _let_170 _let_168))) (let ((_let_172 (not _let_168))) (let ((_let_173 (= _let_9 (- 1)))) (let ((_let_174 (= _let_9 1))) (let ((_let_175 (or _let_174 _let_173))) (let ((_let_176 (not _let_171))) (let ((_let_177 (not _let_175))) (let ((_let_178 (_let_28))) (let ((_let_179 (SYMM (SYMM _let_38)))) (let ((_let_180 (- 1))) (let ((_let_181 (or _let_170 (= tptp.a _let_180)))) (let ((_let_182 (=> (and _let_181 _let_181) (or _let_174 (= _let_9 _let_180))))) (let ((_let_183 (_let_169))) (let ((_let_184 (and _let_14 _let_172))) (let ((_let_185 (_let_14 _let_172))) (let ((_let_186 ((< tptp.a (- 1))))) (let ((_let_187 (ASSUME :args (_let_172)))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_184)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_100 _let_187) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_100 :args _let_99)) _let_187 :args _let_186) :args _let_183) :args _let_185)) :args _let_185)) :args (true _let_184)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_172) _let_168))) (REFL :args _let_183) :args _let_54)) _let_100 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_171 1)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_182 THEORY_ARITH)) (REWRITE :args (_let_182)))) :args ((or _let_175 _let_176))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_174 _let_173 _let_177))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_38 (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (REFL :args _let_36) _let_179 :args _let_42) (MACRO_SR_PRED_INTRO 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(- tptp.a))) (let ((_let_199 (- tptp.b))) (let ((_let_200 (ite _let_29 (ite _let_13 _let_106 (> tptp.b _let_198)) (ite _let_13 (> _let_199 tptp.a) (> _let_199 _let_198))))) (let ((_let_201 (=> (and _let_200 _let_35 _let_81) (ite _let_78 (ite _let_73 (> _let_19 _let_17) (> _let_19 _let_196)) (ite _let_73 (> _let_197 _let_17) (> _let_197 _let_196)))))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_201 THEORY_ARITH)) (REWRITE :args (_let_201)))) :args ((or _let_79 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_195) (CONG (REFL :args _let_195) _let_194 _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_54)) :args ((or _let_80 _let_32 _let_87 _let_193))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_192 :args _let_190) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_192 _let_191 :args _let_52) :args _let_51) :args _let_190) :args _let_189)) :args (_let_80 _let_169))) (CONG (REFL :args _let_189) (MACRO_SR_PRED_INTRO :args ((= (not _let_169) _let_167))) :args _let_54)) _let_188 :args (_let_81 true _let_167)) _let_45 _let_166 :args (_let_87 true _let_80 true _let_32 false _let_86)) :args (_let_79 false _let_87)))) (let ((_let_203 (and _let_35 _let_14))) (let ((_let_204 (not _let_78))) (let ((_let_205 (_let_203))) (let ((_let_206 (not _let_79))) (let ((_let_207 (_let_79))) (let ((_let_208 (not _let_73))) (let ((_let_209 (ASSUME :args (_let_26)))) (let ((_let_210 (_let_73))) (let ((_let_211 (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_210) :args _let_210) _let_209 _let_191 _let_131 :args ((- 1.0) (- 25.0) 25.0 (- 1.0))) :args _let_51) :args (_let_26 _let_169 _let_18 _let_73))) :args ((or _let_160 _let_167 _let_110 _let_208))) :args ((or _let_160 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_let_230))) (let ((_let_232 (not _let_11))) (let ((_let_233 (ASSUME :args _let_213))) (let ((_let_234 (ASSUME :args (_let_232)))) (let ((_let_235 (ASSUME :args _let_155))) (let ((_let_236 (and _let_14 _let_146))) (let ((_let_237 (_let_11))) (let ((_let_238 (_let_236))) (let ((_let_239 (* (- 1) 5))) (let ((_let_240 (* tptp.a _let_239))) (let ((_let_241 ((=> (and _let_8 _let_146) (> _let_6 _let_240))))) (let ((_let_242 (_let_15))) (let ((_let_243 ((=> (and _let_8 _let_12) (<= _let_6 _let_240))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.a (>= tptp.a _let_239))) :args _let_243) (REWRITE :args _let_243))) :args ((or _let_232 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_242) (CONG (REFL :args _let_242) _let_101 _let_154 :args _let_54)) :args ((or _let_13 _let_146 _let_15))) _let_100 (MACRO_RESOLUTION_TRUST _let_153 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (ARITH_MULT_NEG :args (tptp.a (< tptp.a _let_239))) :args _let_241) (REWRITE :args _let_241))) :args ((or _let_11 (not _let_236)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_238) (CONG (REFL :args _let_238) _let_101 _let_147 :args _let_54)) :args ((or _let_13 _let_12 _let_236))) _let_100 (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_237) :args _let_237) _let_132 _let_38 :args ((- 1.0) 5.0 1.0)) :args _let_51) :args (_let_94 _let_28 _let_11))) :args ((or _let_108 _let_64 _let_232))) :args ((or _let_64 _let_108 _let_232))) _let_63 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_132 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_157 _let_132 :args _let_52) :args _let_51) :args _let_156) :args _let_149) :args _let_150) :args _let_116)) :args _let_116)) :args (_let_108 false _let_236 true _let_13 true _let_11 false _let_28 true _let_12)) :args (_let_12 true _let_94)) :args (_let_15 true _let_13 false _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_37 _let_233 _let_234 _let_38 _let_130 _let_209 _let_235) :args (_let_28 _let_27 _let_26 _let_24 _let_21 _let_18 _let_232)) (SCOPE (CONTRA _let_235 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_235 _let_209 _let_131 _let_38 (MACRO_SR_PRED_TRANSFORM _let_234 :args ((< _let_10 1))) _let_233 _let_37 :args ((- 1.0) (- 25.0) (- 1.0) (- 5.0) 5.0 (- 1.0) (- 1.0))) :args _let_51) :args _let_155) :args _let_118) :args _let_119)) :args (_let_27 _let_21 _let_232 _let_28 _let_18 _let_26 _let_24)) :args ((not (and _let_28 _let_27 _let_26 _let_24 _let_21 _let_18 _let_232)) SB_LITERAL))) (CONG _let_65 _let_115 (REFL :args _let_163) (REFL :args _let_119) (REFL :args _let_127) _let_111 (MACRO_SR_PRED_INTRO :args ((= (not _let_232) _let_11))) :args _let_54)) _let_63 _let_40 _let_165 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_231 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_158 _let_231 :args _let_214) :args _let_51) :args _let_118) :args _let_155) :args _let_230)) :args _let_230)) :args ((or _let_24 _let_229))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS2 :args (_let_77)) :args ((or _let_73 _let_75 (not _let_77)))) _let_211 (REORDERING (CNF_ITE_POS1 :args _let_207) :args ((or _let_204 _let_77 _let_206))) _let_202 (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_229)) :args ((< _let_23 1))) (ASSUME :args (_let_75)) _let_131 _let_191 _let_209 _let_37 :args (1.0 (- 1.0) (- 1.0) 25.0 (- 25.0) 1.0)) :args _let_51) :args (_let_75 _let_18 _let_169 _let_26 _let_27 _let_229))) :args ((or _let_228 _let_110 _let_167 _let_160 _let_114 _let_216))) :args ((or _let_114 _let_160 _let_167 _let_110 _let_216 _let_228))) _let_165 _let_70 _let_188 _let_40 (REORDERING (CNF_ITE_POS2 :args (_let_218)) :args ((or _let_78 _let_216 (not _let_218)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS2 :args (_let_220)) :args ((or _let_219 _let_218 (not _let_220)))) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_227 _let_37) :args (_let_27 _let_219)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_227 _let_37 :args _let_52) :args _let_51) :args _let_226) :args (_let_225)) (MACRO_SR_PRED_TRANSFORM _let_227 :args ((not _let_225)))) :args (_let_219 _let_27)) :args ((not (and _let_27 _let_219)) SB_LITERAL))) _let_40 :args ((not _let_219) false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_224 THEORY_ARITH)) (REWRITE :args (_let_224)))) :args ((or _let_220 (not _let_221)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_222) (CONG (REFL :args _let_222) _let_194 _let_56 :args _let_54)) :args ((or _let_32 _let_221 _let_193))) _let_45 _let_166 :args (_let_221 true _let_32 false _let_86)) :args (_let_220 false _let_221)) :args (_let_218 true _let_219 false _let_220)) :args (_let_216 true _let_73 false _let_77 false _let_79 true _let_75 false _let_26 false _let_18 true _let_167 false _let_27 false _let_78 false _let_218)) :args (_let_24 false _let_216)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_215 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_126) _let_215 :args _let_214) :args _let_51) :args _let_126) :args _let_213) :args _let_212)) :args _let_212)) :args ((or _let_21 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS2 :args (_let_74)) :args ((or _let_73 _let_71 (not _let_74)))) _let_211 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS2 :args _let_207) :args ((or _let_78 _let_74 _let_206))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_35 _let_8 _let_19)) (REWRITE :args ((=> (and _let_35 _let_8) (> 0 _let_19)))))) :args ((or _let_204 (not _let_203)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_205) (CONG (REFL :args _let_205) _let_56 _let_101 :args _let_54)) :args ((or _let_13 _let_32 _let_203))) _let_100 _let_45 :args (_let_203 true _let_13 true _let_32)) :args (_let_204 false _let_203)) _let_202 :args (_let_74 true _let_78 false _let_79)) :args (_let_71 true _let_73 false _let_74)) :args (_let_21 false _let_71)) _let_70 :args (_let_11 false _let_28 false _let_27 false _let_26 false _let_24 false _let_21 false _let_18)) :args (false false _let_15 false _let_11)) :args (_let_8 _let_7 _let_5 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.62  )
% 0.20/0.62  % SZS output end Proof for ARI649_1
% 0.20/0.62  % cvc5---1.0.5 exiting
% 0.20/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------