TSTP Solution File: NUM858_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM858_1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 : Thu Aug 31 10:48:31 EDT 2023
% Result : Theorem 15.48s 15.88s
% Output : Proof 15.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM858_1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n003.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 : Fri Aug 25 17:24:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_ARI
% 15.48/15.88 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.WGHYWVomhs/cvc5---1.0.5_23855.p...
% 15.48/15.88 ------- get file name : TPTP file name is NUM858_1
% 15.48/15.88 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23855.smt2...
% 15.48/15.88 --- Run --finite-model-find --decision=internal at 15...
% 15.48/15.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.48/15.88 --- Run --no-e-matching --full-saturate-quant at 15...
% 15.48/15.88 % SZS status Theorem for NUM858_1
% 15.48/15.88 % SZS output start Proof for NUM858_1
% 15.48/15.88 (
% 15.48/15.88 (let ((_let_1 (forall ((X Int) (Y Int) (Z Int)) (= (tptp.minsol_model_ub X Y Z) (tptp.minsol_model_max X Y Z))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_ub X Y N) (and (tptp.model_ub X Y N) (forall ((Z Int)) (=> (tptp.model_ub X Y Z) (<= N Z)))))))) (let ((_let_4 (forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_max X Y N) (and (tptp.model_max X Y N) (forall ((Z Int)) (=> (tptp.model_max X Y Z) (<= N Z)))))))) (let ((_let_5 (forall ((X Int) (Y Int) (N Int)) (= (tptp.model_ub X Y N) (tptp.ub X Y N))))) (let ((_let_6 (forall ((X Int) (Y Int) (N Int)) (= (tptp.model_max X Y N) (= N (tptp.max X Y)))))) (let ((_let_7 (forall ((X Int) (Y Int) (Z Int)) (= (tptp.ub X Y Z) (and (<= X Z) (<= Y Z)))))) (let ((_let_8 (forall ((X Int) (Y Int)) (or (= (tptp.max X Y) Y) (not (<= X Y)))))) (let ((_let_9 (forall ((X Int) (Y Int)) (or (= (tptp.max X Y) X) (not (<= Y X)))))) (let ((_let_10 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_13 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_14 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13))) (let ((_let_15 (>= _let_14 1))) (let ((_let_16 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_17 (>= _let_16 1))) (let ((_let_18 (tptp.model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (= _let_18 _let_11))) (let ((_let_20 (_let_6))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args _let_22) :args _let_20)) _let_21 :args (_let_19 false _let_6)))) (let ((_let_24 (forall ((Z Int)) (or (not (tptp.model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z)) (>= (+ Z (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0))))) (let ((_let_25 (and _let_18 _let_24))) (let ((_let_26 (tptp.minsol_model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_max X Y N) (and (tptp.model_max X Y N) (forall ((Z Int)) (or (not (tptp.model_max X Y Z)) (not (>= (+ N (* (- 1) Z)) 1))))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_22) :args (_let_28)))) _let_29 :args (_let_27 false _let_28)))) (let ((_let_31 (tptp.minsol_model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (= _let_31 _let_26))) (let ((_let_33 (not _let_32))) (let ((_let_34 (_let_2))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (or))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_35) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_33)) :args _let_36)) _let_35 :args (_let_33 true _let_1)))) (let ((_let_38 (forall ((Z Int)) (or (not (tptp.model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z)) (>= (+ Z (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0))))) (let ((_let_39 (tptp.model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (and _let_39 _let_38))) (let ((_let_41 (= _let_31 _let_40))) (let ((_let_42 (tptp.ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (= _let_42 _let_39))) (let ((_let_44 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_45 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_44))) (let ((_let_46 (>= _let_45 0))) (let ((_let_47 (tptp.model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_44))) (let ((_let_51 (>= _let_50 0))) (let ((_let_52 (tptp.model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (>= _let_45 1))) (let ((_let_56 (not _let_55))) (let ((_let_57 (>= _let_50 1))) (let ((_let_58 (not _let_57))) (let ((_let_59 (and _let_58 _let_56))) (let ((_let_60 (= _let_42 _let_59))) (let ((_let_61 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_61))) (let ((_let_63 (or _let_62 _let_55))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_65 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_66 (>= _let_65 0))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_64 _let_67))) (let ((_let_69 (>= _let_65 1))) (let ((_let_70 (or _let_12 _let_69))) (let ((_let_71 (tptp.ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_72 (not _let_69))) (let ((_let_73 (= _let_72 _let_71))) (let ((_let_74 (tptp.model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_75 (= _let_12 _let_74))) (let ((_let_76 (= _let_47 _let_71))) (let ((_let_77 (not _let_46))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_61))) (let ((_let_79 (or _let_78 _let_77))) (let ((_let_80 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) 1))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81))) (let ((_let_85 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_10))) (let ((_let_86 (= _let_82 _let_85))) (let ((_let_87 (not _let_31))) (let ((_let_88 (_let_32))) (let ((_let_89 (forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_ub X Y N) (and (tptp.model_ub X Y N) (forall ((Z Int)) (or (not (tptp.model_ub X Y Z)) (not (>= (+ N (* (- 1) Z)) 1))))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_22) :args _let_91))) _let_90 :args (_let_41 false _let_89)))) (let ((_let_93 (not _let_41))) (let ((_let_94 (_let_41))) (let ((_let_95 (not _let_27))) (let ((_let_96 (not _let_25))) (let ((_let_97 (_let_27))) (let ((_let_98 (not _let_40))) (let ((_let_99 (_let_5))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (_let_38))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (forall ((X Int) (Y Int) (Z Int)) (let ((_let_1 (* (- 1) Z))) (= (tptp.ub X Y Z) (and (not (>= (+ X _let_1) 1)) (not (>= (+ Y _let_1) 1)))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 (not _let_59))) (let ((_let_107 (forall ((X Int) (Y Int)) (or (= X (tptp.max X Y)) (not (>= (+ X (* (- 1) Y)) 0)))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_111 (forall ((X Int) (Y Int)) (or (= Y (tptp.max X Y)) (>= (+ X (* (- 1) Y)) 1))))) (let ((_let_112 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_113 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_112))) (let ((_let_114 (or _let_113 _let_57))) (let ((_let_115 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_116 (tptp.ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_117 (= _let_66 _let_116))) (let ((_let_118 (= _let_52 _let_116))) (let ((_let_119 (not _let_51))) (let ((_let_120 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_112))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_123 (not _let_54))) (let ((_let_124 (not _let_49))) (let ((_let_125 (not _let_64))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (_let_111))) (let ((_let_128 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_129 (not _let_18))) (let ((_let_130 (not _let_19))) (let ((_let_131 (_let_19))) (let ((_let_132 (REORDERING (CNF_EQUIV_POS1 :args _let_131) :args ((or _let_11 _let_129 _let_130))))) (let ((_let_133 (CNF_AND_NEG :args (_let_25)))) (let ((_let_134 (not _let_24))) (let ((_let_135 (_let_134))) (let ((_let_136 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_135)) :args _let_135) (REWRITE :args ((=> _let_134 (not (or _let_83 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_44) 0)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_24))) (REFL :args ((not _let_84))) :args _let_36)))) (let ((_let_137 (REFL :args (_let_84)))) (let ((_let_138 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 0)) (CONG _let_137 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_36)) :args ((or _let_82 _let_84))))) (let ((_let_139 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 1)) (CONG _let_137 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_36)) :args ((or _let_80 _let_84))))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_20)) _let_21 :args (_let_86 false _let_6)))) (let ((_let_141 (REORDERING (CNF_EQUIV_POS1 :args (_let_86)) :args ((or _let_83 _let_85 (not _let_86)))))) (let ((_let_142 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_143 (_let_142))) (let ((_let_144 (false))) (let ((_let_145 (_let_80))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_143) _let_146 :args (1 (- 1))) :args _let_144) :args _let_143))) (let ((_let_148 (ASSUME :args (_let_11)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (ASSUME :args (_let_64)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (ASSUME :args (_let_85)))) (let ((_let_154 (not _let_11))) (let ((_let_155 (not _let_115))) (let ((_let_156 (MACRO_SR_PRED_INTRO :args ((= (not _let_154) _let_11))))) (let ((_let_157 (REFL :args (_let_125)))) (let ((_let_158 (_let_154))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 (SYMM (FALSE_INTRO _let_159)))) (let ((_let_161 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_162 (not _let_12))) (let ((_let_163 (and _let_64 _let_12))) (let ((_let_164 (true _let_163))) (let ((_let_165 (_let_64 _let_12))) (let ((_let_166 (ASSUME :args (_let_12)))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (MODUS_PONENS (AND_INTRO _let_166 _let_150) (SCOPE (TRANS _let_152 _let_167) :args (_let_12 _let_64))))) (let ((_let_169 (CNF_AND_NEG :args (_let_163)))) (let ((_let_170 (_let_161))) (let ((_let_171 (_let_69))) (let ((_let_172 (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_170) :args ((= _let_65 0))))) (let ((_let_173 (not _let_161))) (let ((_let_174 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_175 ((or _let_173 _let_57 _let_174 _let_77)))) (let ((_let_176 (not _let_174))) (let ((_let_177 ((- 1.0) (- 1.0) 1.0))) (let ((_let_178 (_let_46))) (let ((_let_179 (ASSUME :args _let_178))) (let ((_let_180 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_180) :args _let_105))) _let_104 :args (_let_73 false _let_103)))) (let ((_let_182 (not _let_73))) (let ((_let_183 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_73)) (CONG (REFL :args (_let_182)) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_69))) (REFL :args (_let_71)) :args _let_36)) :args ((or _let_69 _let_71 _let_182))))) (let ((_let_184 (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_46 _let_48 _let_124))))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args _let_180) :args _let_99)) _let_100 :args (_let_76 false _let_5)))) (let ((_let_186 (not _let_71))) (let ((_let_187 (REORDERING (CNF_EQUIV_POS2 :args (_let_76)) :args ((or _let_47 _let_186 (not _let_76)))))) (let ((_let_188 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args _let_188) :args _let_127)) _let_126 :args (_let_70 false _let_111)))) (let ((_let_190 (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_12 _let_69 (not _let_70)))))) (let ((_let_191 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_192 (<= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_193 ((or _let_192 _let_191)))) (let ((_let_194 (not _let_191))) (let ((_let_195 (not _let_192))) (let ((_let_196 (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_195)) :args ((> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_194)) :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) :args ((- 1) 1)) :args _let_144) :args (_let_195 _let_194))) :args _let_193) (REWRITE :args _let_193)) :args ((or _let_66 _let_72))))) (let ((_let_197 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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_let_66)))) (let ((_let_255 (MACRO_RESOLUTION_TRUST _let_190 _let_254 _let_189 :args (_let_12 true _let_69 false _let_70)))) (let ((_let_256 (not _let_15))) (let ((_let_257 (tptp.model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_258 (not _let_257))) (let ((_let_259 (or _let_258 _let_256))) (let ((_let_260 (not _let_259))) (let ((_let_261 (not _let_38))) (let ((_let_262 (and _let_12 _let_11 _let_47))) (let ((_let_263 (ASSUME :args (_let_47)))) (let ((_let_264 (_let_261))) (let ((_let_265 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_264)) :args _let_264) (REWRITE :args ((=> _let_261 (not (or _let_258 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_44) 0)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_261) _let_38))) (REFL :args (_let_260)) :args _let_36)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_94) :args ((or _let_31 _let_98 _let_93))) _let_224 _let_92 :args (_let_98 true _let_31 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_262)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_263 _let_253) (SCOPE (TRUE_ELIM (TRANS (CONG _let_219 _let_218 _let_217 :args (APPLY_UF tptp.model_ub)) (TRUE_INTRO _let_263))) :args (_let_47 _let_213))) :args (_let_12 _let_11 _let_47))) :args (true _let_262)) :args ((or _let_39 _let_162 _let_154 _let_48))) _let_255 _let_225 (MACRO_RESOLUTION_TRUST _let_187 (MACRO_RESOLUTION_TRUST _let_183 _let_254 _let_181 :args (_let_71 true _let_69 false _let_73)) _let_185 :args (_let_47 false _let_71 false _let_76)) :args (_let_39 false _let_12 false _let_11 false _let_47)) :args (_let_261 true _let_40 false _let_39)) :args (_let_260 true _let_38)))) (let ((_let_266 (REFL :args (_let_259)))) (let ((_let_267 (not _let_17))) (let ((_let_268 (and (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13) 1)) _let_267))) (let ((_let_269 (tptp.ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_270 (= _let_269 _let_268))) (let ((_let_271 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_ENUM))) (let ((_let_272 (= _let_257 _let_269))) (let ((_let_273 (_let_256))) (let ((_let_274 (_let_15))) (let ((_let_275 (ASSUME :args (_let_267)))) (let ((_let_276 (ASSUME :args _let_274))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_275 _let_253 _let_276) :args (_let_12 _let_11 _let_15 _let_267)) (SCOPE (CONTRA _let_276 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_276 (MACRO_SR_PRED_TRANSFORM _let_215 :args ((= _let_45 0))) (MACRO_SR_PRED_TRANSFORM _let_275 :args ((< _let_16 1))) :args _let_177) :args _let_144) :args _let_274) :args ((< _let_14 1))) :args _let_273)) :args (_let_267 _let_213 _let_15)) :args ((not (and _let_12 _let_11 _let_15 _let_267)) SB_LITERAL))) (CONG _let_223 _let_230 (REFL :args _let_273) (MACRO_SR_PRED_INTRO :args ((= (not _let_267) _let_17))) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_268 1)) :args ((or _let_267 (not _let_268)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_270)) :args ((or (not _let_269) _let_268 (not _let_270)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_272)) :args ((or _let_258 _let_269 (not _let_272)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_259 0)) (CONG _let_266 (MACRO_SR_PRED_INTRO :args ((= (not _let_258) _let_257))) :args _let_36)) :args ((or _let_257 _let_259))) _let_265 :args (_let_257 true _let_259)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args _let_271) :args _let_99)) _let_100 :args (_let_272 false _let_5)) :args (_let_269 false _let_257 false _let_272)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_271) :args _let_105)) _let_104 :args (_let_270 false _let_103)) :args (_let_268 false _let_269 false _let_270)) :args (_let_267 false _let_268)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_259 1)) (CONG _let_266 (MACRO_SR_PRED_INTRO :args ((= (not _let_256) _let_15))) :args _let_36)) :args ((or _let_15 _let_259))) _let_265 :args (_let_15 true _let_259)) _let_255 _let_225 :args (false true _let_17 false _let_15 false _let_12 false _let_11)) :args ((forall ((X Int) (Y Int)) (= (<= X Y) (<= (tptp.summation X) (tptp.summation Y)))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.48/15.88 )
% 15.48/15.88 % SZS output end Proof for NUM858_1
% 15.48/15.88 % cvc5---1.0.5 exiting
% 15.48/15.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------