TSTP Solution File: ARI645_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI645_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 17:31:36 EDT 2023
% Result : Theorem 0.19s 0.61s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ARI645_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n008.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 18:14:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_ARI
% 0.19/0.61 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.g26fsxOn84/cvc5---1.0.5_25922.p...
% 0.19/0.61 ------- get file name : TPTP file name is ARI645_1
% 0.19/0.61 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25922.smt2...
% 0.19/0.61 --- Run --finite-model-find --decision=internal at 15...
% 0.19/0.61 % SZS status Theorem for ARI645_1
% 0.19/0.61 % SZS output start Proof for ARI645_1
% 0.19/0.61 (
% 0.19/0.61 (let ((_let_1 (to_real tptp.a))) (let ((_let_2 (to_real tptp.d))) (let ((_let_3 (/ _let_2 _let_1))) (let ((_let_4 (to_real tptp.b))) (let ((_let_5 (/ _let_2 _let_4))) (let ((_let_6 (> tptp.a 0))) (let ((_let_7 (>= tptp.d 0))) (let ((_let_8 (not (=> (and _let_7 (>= tptp.b tptp.a) _let_6) (<= (ite (>= _let_4 0.0) (to_int _let_5) (- (to_int (- _let_5)))) (ite (>= _let_1 0.0) (to_int _let_3) (- (to_int (- _let_3))))))))) (let ((_let_9 (= tptp.b 0))) (let ((_let_10 (= nonlinearDiv_12 0.0))) (let ((_let_11 (* (- 1) nonlinearDiv_11))) (let ((_let_12 (>= nonlinearDiv_11 0))) (let ((_let_13 (* (- 1) nonlinearDiv_12))) (let ((_let_14 (+ nonlinearDiv_11 _let_13))) (let ((_let_15 (>= _let_14 0))) (let ((_let_16 (not _let_15))) (let ((_let_17 (ite _let_12 _let_16 (not (>= (+ _let_11 _let_13) 0))))) (let ((_let_18 (>= nonlinearDiv_12 0))) (let ((_let_19 (ite _let_18 _let_17 (ite _let_12 (not (>= (+ nonlinearDiv_11 nonlinearDiv_12) 0)) (not (>= (+ _let_11 nonlinearDiv_12) 0)))))) (let ((_let_20 (not _let_10))) (let ((_let_21 (not _let_9))) (let ((_let_22 (* (- 1) tptp.b))) (let ((_let_23 (+ tptp.a _let_22))) (let ((_let_24 (>= _let_23 1))) (let ((_let_25 (+ tptp.a tptp.b))) (let ((_let_26 (>= tptp.a 0))) (let ((_let_27 (>= _let_23 0))) (let ((_let_28 (not _let_27))) (let ((_let_29 (ite _let_26 _let_28 (>= _let_25 1)))) (let ((_let_30 (>= tptp.b 0))) (let ((_let_31 (ite _let_30 _let_29 (ite _let_26 (not (>= _let_25 0)) _let_24)))) (let ((_let_32 (and _let_31 _let_19 _let_21 _let_20))) (let ((_let_33 (>= tptp.a 1))) (let ((_let_34 (1))) (let ((_let_35 (not))) (let ((_let_36 (+ termITE_2 (* (- 1) termITE_3)))) (let ((_let_37 (>= _let_36 0))) (let ((_let_38 (not _let_37))) (let ((_let_39 (REWRITE :args ((not _let_38))))) (let ((_let_40 (* (- 1) termITE_2))) (let ((_let_41 (*))) (let ((_let_42 (/ tptp.d tptp.a))) (let ((_let_43 (* (- 1) (to_int (* (- 1) _let_42))))) (let ((_let_44 (to_int _let_42))) (let ((_let_45 (ite _let_26 _let_44 _let_43))) (let ((_let_46 (MACRO_SR_PRED_INTRO :args ((= _let_45 termITE_2))))) (let ((_let_47 (REFL :args ((- 1))))) (let ((_let_48 (/ tptp.d tptp.b))) (let ((_let_49 (* (- 1) (to_int (* (- 1) _let_48))))) (let ((_let_50 (to_int _let_48))) (let ((_let_51 (ite _let_30 _let_50 _let_49))) (let ((_let_52 (MACRO_SR_PRED_INTRO :args ((= _let_51 termITE_3))))) (let ((_let_53 (not _let_24))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (CONG (CONG (REFL :args ((and _let_7 _let_53 _let_33))) (TRANS (CONG (TRANS (CONG (TRANS (CONG _let_52 (CONG _let_47 _let_46 :args _let_41) :args (+)) (REWRITE :args ((+ termITE_3 _let_40)))) (REFL :args _let_34) :args (>=)) (REWRITE :args ((>= (+ _let_40 termITE_3) 1)))) :args _let_35) _let_39) :args (=>)) :args _let_35))))) (let ((_let_55 (NOT_IMPLIES_ELIM1 _let_54))) (let ((_let_56 (AND_ELIM _let_55 :args _let_34))) (let ((_let_57 (AND_ELIM _let_55 :args (2)))) (let ((_let_58 (or))) (let ((_let_59 (_let_21))) (let ((_let_60 (not _let_33))) (let ((_let_61 (REFL :args (_let_60)))) (let ((_let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_24))))) (let ((_let_63 (_let_9))) (let ((_let_64 (false))) (let ((_let_65 (1.0 1.0 (- 1.0)))) (let ((_let_66 (_let_33))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (ASSUME :args (_let_53)))) (let ((_let_69 (MACRO_SR_PRED_TRANSFORM _let_68 :args ((< _let_23 1))))) (let ((_let_70 (ASSUME :args _let_63))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 _let_68 _let_70) :args (_let_53 _let_33 _let_9)) (SCOPE (CONTRA _let_70 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_70 _let_69 _let_67 :args _let_65) :args _let_64) :args _let_63) :args _let_59) :args _let_59)) :args (_let_33 _let_53 _let_9)) :args ((not (and _let_53 _let_33 _let_9)) SB_LITERAL))) (CONG _let_62 _let_61 (REFL :args _let_59) :args _let_58)) _let_57 _let_56 :args (_let_21 false _let_33 true _let_24)))) (let ((_let_72 (>= _let_13 (- 1)))) (let ((_let_73 (* (- 1) toInt_7))) (let ((_let_74 (+ termITE_5 _let_73))) (let ((_let_75 (>= _let_74 1))) (let ((_let_76 (* (- 1) toInt_10))) (let ((_let_77 (+ termITE_8 _let_76))) (let ((_let_78 (>= _let_77 0))) (let ((_let_79 (= termITE_2 toInt_7))) (let ((_let_80 (= termITE_5 nonlinearDiv_11))) (let ((_let_81 (= termITE_3 toInt_10))) (let ((_let_82 (= termITE_8 nonlinearDiv_12))) (let ((_let_83 (>= nonlinearDiv_11 1))) (let ((_let_84 (not _let_83))) (let ((_let_85 (ite _let_12 _let_84 (not (>= _let_11 1))))) (let ((_let_86 (>= termITE_2 0))) (let ((_let_87 (= nonlinearDiv_12 1.0))) (let ((_let_88 (* nonlinearDiv_12 tptp.b))) (let ((_let_89 (= _let_4 _let_88))) (let ((_let_90 (= tptp.a 0))) (let ((_let_91 (not _let_90))) (let ((_let_92 (and _let_85 _let_91))) (let ((_let_93 (* nonlinearDiv_11 tptp.a))) (let ((_let_94 (* (- 1) _let_93))) (let ((_let_95 (+ tptp.a _let_94))) (let ((_let_96 (>= _let_93 0))) (let ((_let_97 (* (- 1) tptp.a))) (let ((_let_98 (>= (+ _let_97 _let_93) 0))) (let ((_let_99 (not _let_98))) (let ((_let_100 (ite _let_96 _let_99 (not (>= (+ _let_97 _let_94) 0))))) (let ((_let_101 (ite _let_26 _let_100 (ite _let_96 (not (>= (+ tptp.a _let_93) 0)) (not (>= _let_95 0)))))) (let ((_let_102 (= _let_2 _let_93))) (let ((_let_103 (= _let_2 _let_88))) (let ((_let_104 (not _let_72))) (let ((_let_105 (NOT_IMPLIES_ELIM2 _let_54))) (let ((_let_106 (- termITE_5 toInt_7))) (let ((_let_107 ((and (<= 0.0 _let_106) (< _let_106 1.0))))) (let ((_let_108 (AND_ELIM (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_107) (REWRITE :args _let_107)) :args _let_34))) (let ((_let_109 (0))) (let ((_let_110 (- termITE_8 toInt_10))) (let ((_let_111 ((and (<= 0.0 _let_110) (< _let_110 1.0))))) (let ((_let_112 (AND_ELIM (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_111) (REWRITE :args _let_111)) :args _let_109))) (let ((_let_113 (not _let_26))) (let ((_let_114 (1 (- 1)))) (let ((_let_115 (MACRO_SR_PRED_TRANSFORM _let_67 :args _let_66))) (let ((_let_116 (_let_113))) (let ((_let_117 (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_116) :args ((< tptp.a 0))) _let_115 :args _let_114) :args _let_64) :args (_let_33 _let_113))) :args ((or _let_60 _let_26))) _let_57 :args (_let_26 false _let_33)))) (let ((_let_118 (ite))) (let ((_let_119 (=))) (let ((_let_120 (to_int))) (let ((_let_121 (/ tptp.d tptp.a))) (let ((_let_122 (SKOLEM_FUN_DIV_BY_ZERO_4 _let_2))) (let ((_let_123 (ite _let_90 _let_122 _let_121))) (let ((_let_124 (MACRO_SR_PRED_INTRO :args ((= _let_123 termITE_5))))) (let ((_let_125 (TRANS (THEORY_PREPROCESS :args ((= _let_42 _let_123))) _let_124))) (let ((_let_126 (REFL :args (termITE_2)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (ITE_ELIM1 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (REMOVE_TERM_FORMULA_AXIOM :args (_let_45)) _let_46 :args ((ite _let_26 (= termITE_2 _let_44) (= termITE_2 _let_43)))) (CONG (REFL :args (_let_26)) (CONG _let_126 (TRANS (CONG _let_125 :args _let_120) (THEORY_PREPROCESS :args ((= (to_int termITE_5) toInt_7)))) :args _let_119) (CONG _let_126 (CONG _let_47 (TRANS (CONG (CONG _let_47 _let_125 :args _let_41) :args _let_120) (THEORY_PREPROCESS :args ((= (to_int (* (- 1) termITE_5)) toInt_6)))) :args _let_41) :args _let_119) :args _let_118))) :args ((or _let_79 _let_113))) _let_117 :args (_let_79 false _let_26)))) (let ((_let_128 (_let_90))) (let ((_let_129 (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_128) :args _let_128) _let_115 :args _let_114) :args _let_64) :args (_let_33 _let_90))) :args ((or _let_60 _let_91))) _let_57 :args (_let_91 false _let_33)))) (let ((_let_130 (= termITE_5 _let_122))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (ITE_ELIM2 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (REMOVE_TERM_FORMULA_AXIOM :args (_let_123)) _let_124 :args ((ite _let_90 _let_130 (= termITE_5 _let_121)))) (CONG (REFL :args _let_128) (REFL :args (_let_130)) (CONG (REFL :args (termITE_5)) (THEORY_PREPROCESS :args ((= _let_121 nonlinearDiv_11))) :args _let_119) :args _let_118))) _let_129 :args (_let_80 true _let_90)))) (let ((_let_132 (not _let_30))) (let ((_let_133 (INT_TIGHT_UB _let_69))) (let ((_let_134 (_let_132))) (let ((_let_135 (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_134) :args ((< tptp.b 0))) _let_133 _let_67 :args _let_65) :args _let_64) :args (_let_53 _let_33 _let_132))) :args ((or _let_24 _let_60 _let_30))) _let_56 _let_57 :args (_let_30 true _let_24 false _let_33)))) (let ((_let_136 (/ tptp.d tptp.b))) (let ((_let_137 (ite _let_9 _let_122 _let_136))) (let ((_let_138 (MACRO_SR_PRED_INTRO :args ((= _let_137 termITE_8))))) (let ((_let_139 (TRANS (THEORY_PREPROCESS :args ((= _let_48 _let_137))) _let_138))) (let ((_let_140 (REFL :args (termITE_3)))) (let ((_let_141 (_let_30))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (ITE_ELIM1 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (REMOVE_TERM_FORMULA_AXIOM :args (_let_51)) _let_52 :args ((ite _let_30 (= termITE_3 _let_50) (= termITE_3 _let_49)))) (CONG (REFL :args _let_141) (CONG _let_140 (TRANS (CONG _let_139 :args _let_120) (THEORY_PREPROCESS :args ((= (to_int termITE_8) toInt_10)))) :args _let_119) (CONG _let_140 (CONG _let_47 (TRANS (CONG (CONG _let_47 _let_139 :args _let_41) :args _let_120) (THEORY_PREPROCESS :args ((= (to_int (* (- 1) termITE_8)) toInt_9)))) :args _let_41) :args _let_119) :args _let_118))) :args ((or _let_81 _let_132))) _let_135 :args (_let_81 false _let_30)))) (let ((_let_143 (= termITE_8 _let_122))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (ITE_ELIM2 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (REMOVE_TERM_FORMULA_AXIOM :args (_let_137)) _let_138 :args ((ite _let_9 _let_143 (= termITE_8 _let_136)))) (CONG (REFL :args _let_63) (REFL :args (_let_143)) (CONG (REFL :args (termITE_8)) (THEORY_PREPROCESS :args ((= _let_136 nonlinearDiv_12))) :args _let_119) :args _let_118))) _let_71 :args (_let_82 true _let_9)))) (let ((_let_145 (not _let_78))) (let ((_let_146 (not _let_82))) (let ((_let_147 (not _let_80))) (let ((_let_148 (not _let_81))) (let ((_let_149 (not _let_79))) (let ((_let_150 (_let_104))) (let ((_let_151 (REFL :args _let_150))) (let ((_let_152 (REFL :args (_let_145)))) (let ((_let_153 (REFL :args (_let_146)))) (let ((_let_154 (not _let_75))) (let ((_let_155 (MACRO_SR_PRED_INTRO :args ((= (not _let_154) _let_75))))) (let ((_let_156 (REFL :args (_let_147)))) (let ((_let_157 (REFL :args (_let_148)))) (let ((_let_158 (REFL :args (_let_149)))) (let ((_let_159 (>= _let_77 0.0))) (let ((_let_160 ((not _let_159)))) (let ((_let_161 ((< _let_77 0.0)))) (let ((_let_162 (_let_159))) (let ((_let_163 (MACRO_SR_PRED_TRANSFORM _let_108 :args ((< _let_74 1.0))))) (let ((_let_164 (ASSUME :args (_let_81)))) (let ((_let_165 (MACRO_SR_PRED_TRANSFORM _let_164 :args ((= (+ termITE_3 _let_76) 0))))) (let ((_let_166 (ASSUME :args (_let_38)))) (let ((_let_167 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_166 :args ((< _let_36 0)))))) (let ((_let_168 (ASSUME :args (_let_82)))) (let ((_let_169 (MACRO_SR_PRED_TRANSFORM _let_168 :args ((= (+ termITE_8 _let_13) 0.0))))) (let ((_let_170 (ASSUME :args (_let_72)))) (let ((_let_171 (MACRO_SR_PRED_TRANSFORM _let_170 :args ((<= nonlinearDiv_12 1.0))))) (let ((_let_172 (ASSUME :args (_let_80)))) (let ((_let_173 (MACRO_SR_PRED_TRANSFORM _let_172 :args ((= (+ termITE_5 _let_11) 0.0))))) (let ((_let_174 (ASSUME :args (_let_83)))) (let ((_let_175 (ASSUME :args (_let_79)))) (let ((_let_176 (MACRO_SR_PRED_TRANSFORM _let_175 :args ((= (+ termITE_2 _let_73) 0))))) (let ((_let_177 (MACRO_SR_PRED_TRANSFORM _let_112 :args _let_162))) (let ((_let_178 (not _let_12))) (let ((_let_179 (and _let_33 _let_178))) (let ((_let_180 (not _let_179))) (let ((_let_181 (_let_102))) (let ((_let_182 (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_90))))) (let ((_let_183 ((=> _let_91 (= (- (* tptp.a nonlinearDiv_11) tptp.d) 0.0))))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_183) (REWRITE :args _let_183))) (CONG _let_182 (REFL :args _let_181) :args _let_58)) _let_129 :args (_let_102 true _let_90)))) (let ((_let_185 (not _let_96))) (let ((_let_186 (REFL :args ((not _let_102))))) (let ((_let_187 (= (+ tptp.d _let_94) 0.0))) (let ((_let_188 ((not _let_187)))) (let ((_let_189 (_let_187))) (let ((_let_190 (ASSUME :args (_let_7)))) (let ((_let_191 (ASSUME :args (_let_185)))) (let ((_let_192 (ASSUME :args _let_181))) (let ((_let_193 (MACRO_SR_PRED_TRANSFORM _let_192 :args _let_189))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_190 _let_191 _let_192) :args (_let_7 _let_102 _let_185)) (SCOPE (CONTRA _let_193 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_189) (MACRO_SR_PRED_TRANSFORM _let_191 :args ((< _let_93 0.0))) _let_190 :args _let_65) :args _let_64) :args _let_189) :args _let_188) :args _let_188)) :args (_let_7 _let_185 _let_102)) :args ((not (and _let_7 _let_102 _let_185)) SB_LITERAL))) (CONG (REFL :args ((not _let_7))) _let_186 (MACRO_SR_PRED_INTRO :args ((= (not _let_185) _let_96))) :args _let_58)) _let_184 (AND_ELIM _let_55 :args _let_109) :args (_let_96 false _let_102 false _let_7)))) (let ((_let_195 (< nonlinearDiv_11 0.0))) (let ((_let_196 (_let_179))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_196) (CONG (REFL :args _let_196) _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_178) _let_12))) :args _let_58)) :args ((or _let_60 _let_12 _let_179))) _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE 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(> termITE_2 (- 1)))) (let ((_let_218 (not _let_217))) (let ((_let_219 (not _let_87))) (let ((_let_220 ((not _let_86)))) (let ((_let_221 (_let_86))) (let ((_let_222 (ASSUME :args (_let_219)))) (let ((_let_223 (ASSUME :args _let_221))) (let ((_let_224 (or _let_219 (= _let_88 _let_4)))) (let ((_let_225 (not _let_85))) (let ((_let_226 (_let_92))) (let ((_let_227 (- _let_93))) (let ((_let_228 (- tptp.a))) (let ((_let_229 (- nonlinearDiv_11))) (let ((_let_230 (- 1.0))) (let ((_let_231 (=> (and (ite (>= 1.0 0.0) (ite _let_206 (> 1.0 nonlinearDiv_11) (> 1.0 _let_229)) (ite _let_206 (> _let_230 nonlinearDiv_11) (> _let_230 _let_229))) _let_91) (ite _let_26 (ite _let_96 (> tptp.a _let_93) (> tptp.a _let_227)) (ite _let_96 (> _let_228 _let_93) (> _let_228 _let_227)))))) (let ((_let_232 (_let_103))) (let ((_let_233 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_9))))) (let ((_let_234 ((=> _let_21 (= (- (* tptp.b nonlinearDiv_12) tptp.d) 0.0))))) (let ((_let_235 (MACRO_RESOLUTION_TRUST 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(and (ite _let_30 (ite _let_26 (> tptp.b tptp.a) (> tptp.b _let_228)) (ite _let_26 (> _let_300 tptp.a) (> _let_300 _let_228))) _let_299 _let_21 _let_20) _let_297))) (let ((_let_302 (= tptp.a tptp.b))) (let ((_let_303 (or _let_302 (= tptp.a _let_22)))) (let ((_let_304 (not _let_302))) (let ((_let_305 (and _let_303 _let_19 _let_21 _let_20))) (let ((_let_306 (not _let_303))) (let ((_let_307 (not _let_305))) (let ((_let_308 (=> (and (or (= tptp.b tptp.a) (= tptp.b _let_228)) _let_299 _let_21 _let_20) _let_297))) (let ((_let_309 (not _let_19))) (let ((_let_310 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_10))))) (let ((_let_311 (REFL :args (_let_309)))) (let ((_let_312 (_let_305))) (let ((_let_313 (_let_28))) (let ((_let_314 (and _let_53 _let_304))) (let ((_let_315 (_let_53 _let_304))) (let ((_let_316 (ASSUME :args (_let_304)))) (let ((_let_317 (_let_29))) (let ((_let_318 (not _let_31))) (let ((_let_319 (_let_32))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_319) (CONG (REFL :args _let_319) (REFL :args (_let_318)) _let_311 _let_233 _let_310 :args _let_58)) :args ((or _let_9 _let_10 _let_309 _let_32 _let_318))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG1 :args (_let_31)) :args ((or _let_132 _let_31 (not _let_29)))) _let_135 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_ITE_NEG1 :args _let_317) (CONG (REFL :args _let_317) (REFL :args _let_116) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_58)) :args ((or _let_113 _let_27 _let_29))) _let_117 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_314)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_316) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY _let_133 (MACRO_SR_PRED_TRANSFORM _let_316 :args ((not (= _let_23 0)))) :args ((< _let_23 0))) :args _let_313) :args _let_315)) :args _let_315)) :args (true _let_314)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_304) _let_302))) (REFL :args _let_313) :args _let_58)) _let_56 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_303 0)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_312) (CONG (REFL :args _let_312) (REFL :args (_let_306)) _let_311 _let_233 _let_310 :args _let_58)) :args ((or _let_9 _let_10 _let_305 _let_306 _let_309))) _let_71 _let_253 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_308 THEORY_ARITH)) (REWRITE :args (_let_308)))) :args ((or _let_268 _let_307))) _let_294 :args (_let_307 true _let_268)) _let_262 :args (_let_306 true _let_9 true _let_10 true _let_305 false _let_19)) :args (_let_304 true _let_303)) :args (_let_28 true _let_24 true _let_302)) :args (_let_29 false _let_26 true _let_27)) :args (_let_31 false _let_30 false _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_301 THEORY_ARITH)) (REWRITE :args (_let_301)))) :args ((or _let_268 _let_269))) _let_294 :args (_let_269 true _let_268)) _let_262 _let_253 _let_71 :args (false false _let_31 true _let_32 false _let_19 true _let_10 true _let_9)) :args (_let_8 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.62 )
% 0.19/0.62 % SZS output end Proof for ARI645_1
% 0.19/0.62 % cvc5---1.0.5 exiting
% 0.19/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------