TSTP Solution File: ALG440-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG440-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 16:09:38 EDT 2023
% Result : Unsatisfiable 2.81s 3.07s
% Output : Proof 2.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG440-1 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 04:09:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qhngYUdMkk/cvc5---1.0.5_26980.p...
% 0.21/0.50 ------- get file name : TPTP file name is ALG440-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26980.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.81/3.07 % SZS status Unsatisfiable for ALG440-1
% 2.81/3.07 % SZS output start Proof for ALG440-1
% 2.81/3.08 (
% 2.81/3.08 (let ((_let_1 (tptp.r tptp.a tptp.a tptp.a))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.r tptp.b tptp.a tptp.a))) (let ((_let_4 (tptp.r tptp.a tptp.b tptp.a))) (let ((_let_5 (tptp.r tptp.a tptp.a tptp.b))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (tptp.r X0 X1 X2)) (not (tptp.r X3 X4 X5)) (tptp.r (tptp.v X0 X3) (tptp.v X1 X4) (tptp.v X2 X5)))))) (let ((_let_7 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (tptp.r X0 X1 X2)) (not (tptp.r X3 X4 X5)) (not (tptp.r X6 X7 X8)) (tptp.r (tptp.u X0 X3 X6) (tptp.u X1 X4 X7) (tptp.u X2 X5 X8)))))) (let ((_let_8 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (tptp.r X0 X1 X2)) (not (tptp.r X3 X4 X5)) (not (tptp.r X6 X7 X8)) (tptp.r (tptp.m X0 X3 X6) (tptp.m X1 X4 X7) (tptp.m X2 X5 X8)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.u A A B) (tptp.v A B))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.v A B) (tptp.v B A))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.u A A B) (tptp.u B A A))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.u A A B) (tptp.u A B A))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.v A A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.u A A A) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m A B B) A)))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m A A B) B)))) (let ((_let_17 (tptp.m tptp.a tptp.a tptp.a))) (let ((_let_18 (= tptp.a _let_17))) (let ((_let_19 (tptp.m tptp.b tptp.b tptp.a))) (let ((_let_20 (= tptp.a _let_19))) (let ((_let_21 (tptp.u tptp.b tptp.a tptp.b))) (let ((_let_22 (tptp.m tptp.a _let_21 _let_21))) (let ((_let_23 (= tptp.a _let_22))) (let ((_let_24 (tptp.r _let_22 _let_19 _let_17))) (let ((_let_25 (ASSUME :args (_let_2)))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.m A A B))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_18 false _let_26)))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.m A B B))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (tptp.a _let_21 QUANTIFIERS_INST_ENUM))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_33) :args _let_32)) _let_31 :args (_let_23 false _let_30)))) (let ((_let_35 (tptp.r _let_21 tptp.a tptp.a))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.r _let_21 tptp.b tptp.a))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_4))) (let ((_let_40 (or _let_39 _let_38 _let_36 _let_24))) (let ((_let_41 (_let_8))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((not (= (tptp.r (tptp.m X0 X3 X6) (tptp.m X1 X4 X7) (tptp.m X2 X5 X8)) true))))) (let ((_let_44 (tptp.m tptp.b _let_21 _let_21))) (let ((_let_45 (tptp.m tptp.a tptp.a _let_21))) (let ((_let_46 (tptp.r _let_45 _let_44 _let_22))) (let ((_let_47 (= tptp.b _let_44))) (let ((_let_48 (= _let_21 _let_45))) (let ((_let_49 (tptp.r _let_21 _let_21 _let_21))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.r tptp.a _let_21 _let_21))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_39 _let_52 _let_50 _let_46))) (let ((_let_54 (tptp.u tptp.a tptp.b tptp.a))) (let ((_let_55 (tptp.u tptp.a tptp.a tptp.b))) (let ((_let_56 (tptp.u tptp.b tptp.a tptp.a))) (let ((_let_57 (tptp.r _let_56 _let_55 _let_54))) (let ((_let_58 (tptp.u tptp.b tptp.b tptp.a))) (let ((_let_59 (= _let_58 _let_21))) (let ((_let_60 (tptp.v tptp.b tptp.a))) (let ((_let_61 (= _let_60 _let_58))) (let ((_let_62 (tptp.v tptp.a tptp.b))) (let ((_let_63 (= _let_55 _let_62))) (let ((_let_64 (= _let_62 _let_60))) (let ((_let_65 (= _let_55 _let_56))) (let ((_let_66 (= _let_55 _let_54))) (let ((_let_67 (not _let_5))) (let ((_let_68 (not _let_3))) (let ((_let_69 (or _let_68 _let_67 _let_39 _let_57))) (let ((_let_70 (_let_7))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 ((tptp.u X2 X5 X8) (tptp.u X1 X4 X7) (tptp.u X0 X3 X6)))) (let ((_let_73 (ASSUME :args (_let_3)))) (let ((_let_74 (ASSUME :args (_let_4)))) (let ((_let_75 (ASSUME :args (_let_5)))) (let ((_let_76 (_let_12))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u A A B)))) :args _let_76)) _let_77 :args (_let_59 false _let_12)))) (let ((_let_79 (_let_9))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v A B)))) :args _let_79))) _let_80 :args (_let_61 false _let_9)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u A A B)))) :args _let_79)) _let_80 :args (_let_63 false _let_9)))) (let ((_let_83 (_let_10))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (tptp.a tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_85) :args _let_83)) _let_84 :args (_let_64 false _let_10)))) (let ((_let_87 (_let_11))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_85) :args _let_76)) _let_77 :args (_let_66 false _let_12)))) (let ((_let_90 (and _let_66 _let_65 _let_64 _let_63 _let_61 _let_59 _let_57))) (let ((_let_91 (ASSUME :args (_let_57)))) (let ((_let_92 (APPLY_UF tptp.r))) (let ((_let_93 (ASSUME :args (_let_66)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (SYMM _let_94))) (let ((_let_96 (ASSUME :args (_let_63)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (ASSUME :args (_let_64)))) (let ((_let_101 (SYMM _let_100))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (ASSUME :args (_let_61)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (SYMM _let_106))) (let ((_let_108 (ASSUME :args (_let_59)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (ASSUME :args (_let_65)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_112 _let_96 _let_100 _let_104 _let_108 _let_93) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_111 _let_107 _let_103 _let_99 (SYMM (SYMM _let_112))) (TRANS _let_111 _let_107 _let_103 _let_99) (TRANS _let_111 _let_107 _let_103 _let_99 _let_95) :args _let_92) (TRUE_INTRO _let_91))) :args (_let_57 _let_65 _let_63 _let_64 _let_61 _let_59 _let_66))) :args (_let_66 _let_65 _let_64 _let_63 _let_61 _let_59 _let_57))) :args (true _let_90)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_85) :args _let_87)) _let_88 :args (_let_65 false _let_11)) _let_86 _let_82 _let_81 _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_67 _let_39 _let_68 _let_57 (not _let_69)))) _let_75 _let_74 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.b tptp.a tptp.a tptp.a tptp.a tptp.b tptp.a tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_69 false _let_7)) :args (_let_57 false _let_5 false _let_4 false _let_3 false _let_69)) :args (_let_49 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_59 false _let_57)))) (let ((_let_114 (tptp.v tptp.a tptp.a))) (let ((_let_115 (tptp.r _let_114 _let_60 _let_62))) (let ((_let_116 (= tptp.a _let_114))) (let ((_let_117 (or _let_39 _let_67 _let_115))) (let ((_let_118 (_let_6))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 (forall ((A $$unsorted)) (= A (tptp.v A A))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_122) :args (_let_120))) _let_121 :args (_let_116 false _let_120)))) (let ((_let_124 (and _let_116 _let_64 _let_61 _let_59 _let_115))) (let ((_let_125 (ASSUME :args (_let_115)))) (let ((_let_126 (ASSUME :args (_let_116)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (tptp.b _let_21 QUANTIFIERS_INST_ENUM))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_128) :args _let_32)) _let_31 :args (_let_47 false _let_30)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_33) :args _let_28)) _let_27 :args (_let_48 false _let_26)))) (let ((_let_131 (not _let_47))) (let ((_let_132 (not _let_23))) (let ((_let_133 (not _let_48))) (let ((_let_134 (and _let_48 _let_23 _let_47 _let_46))) (let ((_let_135 (ASSUME :args (_let_46)))) (let ((_let_136 (ASSUME :args (_let_23)))) (let ((_let_137 (SYMM (SYMM _let_136)))) (let ((_let_138 (ASSUME :args (_let_47)))) (let ((_let_139 (SYMM (SYMM _let_138)))) (let ((_let_140 (ASSUME :args (_let_48)))) (let ((_let_141 (SYMM (SYMM _let_140)))) (let ((_let_142 (tptp.m tptp.b tptp.b _let_21))) (let ((_let_143 (tptp.r _let_142 _let_22 _let_17))) (let ((_let_144 (= _let_21 _let_142))) (let ((_let_145 (tptp.r _let_21 _let_21 tptp.a))) (let ((_let_146 (not _let_145))) (let ((_let_147 (tptp.r tptp.b _let_21 tptp.a))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_68 _let_148 _let_146 _let_143))) (let ((_let_150 (tptp.u tptp.a tptp.a tptp.a))) (let ((_let_151 (tptp.r _let_21 _let_54 _let_150))) (let ((_let_152 (= tptp.a _let_150))) (let ((_let_153 (or _let_68 _let_39 _let_68 _let_151))) (let ((_let_154 (forall ((A $$unsorted)) (= A (tptp.u A A A))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (_let_154))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args _let_122) :args _let_156)) _let_155 :args (_let_152 false _let_154)))) (let ((_let_158 (and _let_152 _let_66 _let_64 _let_63 _let_61 _let_59 _let_151))) (let ((_let_159 (ASSUME :args (_let_151)))) (let ((_let_160 (ASSUME :args (_let_152)))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (tptp.r _let_44 _let_45 _let_22))) (let ((_let_164 (= tptp.b (tptp.u tptp.b tptp.b tptp.b)))) (let ((_let_165 (tptp.r _let_21 tptp.a _let_21))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_68 _let_166 _let_50 _let_163))) (let ((_let_168 (tptp.r _let_58 _let_150 _let_55))) (let ((_let_169 (or _let_68 _let_68 _let_67 _let_168))) (let ((_let_170 (and _let_152 _let_116 _let_64 _let_63 _let_61 _let_59 _let_168))) (let ((_let_171 (ASSUME :args (_let_168)))) (let ((_let_172 (TRANS _let_102 _let_106 _let_110))) (let ((_let_173 (and _let_152 _let_66 _let_64 _let_63 _let_61 _let_59 _let_164 _let_48 _let_23 _let_47 _let_163))) (let ((_let_174 (ASSUME :args (_let_163)))) (let ((_let_175 (TRANS _let_94 _let_98 _let_102 _let_106 _let_110))) (let ((_let_176 (ASSUME :args (_let_164)))) (let ((_let_177 (not _let_18))) (let ((_let_178 (and _let_18 _let_23 _let_144 _let_143))) (let ((_let_179 (ASSUME :args (_let_143)))) (let ((_let_180 (ASSUME :args (_let_18)))) (let ((_let_181 (SYMM (SYMM _let_180)))) (let ((_let_182 (ASSUME :args (_let_144)))) (let ((_let_183 (ASSUME :args (_let_24)))) (let ((_let_184 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_183 _let_136 _let_184 _let_180 _let_25) :args (_let_2 _let_18 _let_20 _let_23 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_25)) (CONG _let_137 (SYMM (SYMM _let_184)) _let_181 :args _let_92) (TRUE_INTRO _let_183))) :args (_let_24 _let_23 _let_20 _let_18 _let_2)) :args ((not (and _let_2 _let_18 _let_20 _let_23 _let_24)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_177)) (REFL :args ((not _let_20))) (REFL :args (_let_132)) (REFL :args ((not _let_24))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_36 _let_38 _let_24 (not _let_40)))) _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_178)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_179 _let_182 _let_136 _let_180) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_182)) _let_137 _let_181 :args _let_92) (TRUE_INTRO _let_179))) :args (_let_143 _let_144 _let_23 _let_18))) :args (_let_18 _let_23 _let_144 _let_143))) :args (true _let_178)) :args ((or _let_177 _let_35 _let_132 (not _let_144) (not _let_143)))) _let_29 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_128) :args _let_28)) _let_27 :args (_let_144 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_68 _let_148 _let_146 _let_143 (not _let_149)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_173)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_174 _let_138 _let_140 _let_176 _let_108 _let_104 _let_100 _let_96 _let_93 _let_136 _let_160) (SCOPE (TRUE_ELIM (TRANS (CONG _let_176 (SYMM _let_175) _let_160 :args _let_92) (CONG (TRANS (SYMM _let_176) _let_139) (TRANS _let_175 _let_141) (TRANS _let_161 _let_137) :args _let_92) (TRUE_INTRO _let_174))) :args (_let_163 _let_47 _let_48 _let_164 _let_59 _let_61 _let_64 _let_63 _let_66 _let_23 _let_152))) :args (_let_152 _let_66 _let_64 _let_63 _let_61 _let_59 _let_164 _let_48 _let_23 _let_47 _let_163))) :args (true _let_173)) :args ((or (not _let_152) (not _let_66) (not _let_64) (not _let_63) (not _let_61) (not _let_59) (not _let_164) _let_147 _let_133 _let_132 _let_131 (not _let_163)))) _let_157 _let_89 _let_86 _let_82 _let_81 _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_156)) _let_155 :args (_let_164 false _let_154)) _let_130 _let_34 _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_68 _let_166 _let_50 _let_163 (not _let_167)))) _let_73 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_170)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_171 _let_108 _let_104 _let_100 _let_160 _let_126 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_172) _let_126 (TRANS _let_111 _let_105) :args _let_92) (CONG (TRANS _let_172 _let_111) (TRANS _let_127 _let_162) (TRANS _let_103 _let_99) :args _let_92) (TRUE_INTRO _let_171))) :args (_let_168 _let_59 _let_61 _let_64 _let_152 _let_116 _let_63))) :args (_let_152 _let_116 _let_64 _let_63 _let_61 _let_59 _let_168))) :args (true _let_170)) _let_157 _let_123 _let_86 _let_82 _let_81 _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_169))) :args ((or _let_67 _let_68 _let_168 (not _let_169)))) _let_75 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.b tptp.a tptp.a tptp.b tptp.a tptp.a tptp.a tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_169 false _let_7)) :args (_let_168 false _let_5 false _let_3 false _let_169)) :args (_let_165 false _let_152 false _let_116 false _let_64 false _let_63 false _let_61 false _let_59 false _let_168)) _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.b tptp.a tptp.a _let_21 tptp.a _let_21 _let_21 _let_21 _let_21 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_167 false _let_8)) :args (_let_163 false _let_3 false _let_165 false _let_49 false _let_167)) :args (_let_147 false _let_152 false _let_66 false _let_64 false _let_63 false _let_61 false _let_59 false _let_164 false _let_48 false _let_23 false _let_47 false _let_163)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_158)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_108 _let_96 _let_100 _let_93 _let_104 _let_160) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_21)) (TRANS (TRANS _let_109 _let_105 _let_101 _let_97) _let_95) _let_162 :args _let_92) (TRUE_INTRO _let_159))) :args (_let_151 _let_59 _let_63 _let_64 _let_66 _let_61 _let_152))) :args (_let_152 _let_66 _let_64 _let_63 _let_61 _let_59 _let_151))) :args (true _let_158)) _let_157 _let_89 _let_86 _let_82 _let_81 _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_153))) :args ((or _let_39 _let_68 _let_151 (not _let_153)))) _let_74 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.b tptp.a tptp.a tptp.a tptp.b tptp.a tptp.b tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_153 false _let_7)) :args (_let_151 false _let_4 false _let_3 false _let_153)) :args (_let_145 false _let_152 false _let_66 false _let_64 false _let_63 false _let_61 false _let_59 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.b tptp.a tptp.a tptp.b _let_21 tptp.a _let_21 _let_21 tptp.a QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_149 false _let_8)) :args (_let_143 false _let_3 false _let_147 false _let_145 false _let_149)) :args (_let_35 false _let_18 false _let_23 false _let_144 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_135 _let_138 _let_136 _let_140) (SCOPE (TRUE_ELIM (TRANS (CONG _let_141 _let_139 _let_137 :args _let_92) (TRUE_INTRO _let_135))) :args (_let_46 _let_47 _let_23 _let_48))) :args (_let_48 _let_23 _let_47 _let_46))) :args (true _let_134)) :args ((or _let_37 _let_133 _let_132 _let_131 (not _let_46)))) _let_130 _let_34 _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_39 _let_52 _let_50 _let_46 (not _let_53)))) _let_74 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_126 _let_104 _let_108 _let_100) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_127) (TRANS _let_111 _let_107) (TRANS _let_111 _let_107 _let_103) :args _let_92) (TRUE_INTRO _let_125))) :args (_let_115 _let_116 _let_61 _let_59 _let_64))) :args (_let_116 _let_64 _let_61 _let_59 _let_115))) :args (true _let_124)) _let_123 _let_86 _let_81 _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_67 _let_39 _let_115 (not _let_117)))) _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.a tptp.b tptp.a tptp.a tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.v X1 X4) (tptp.v X2 X5) (tptp.v X0 X3)))) :args _let_118)) _let_119 :args (_let_117 false _let_6)) :args (_let_115 false _let_5 false _let_4 false _let_117)) :args (_let_51 false _let_116 false _let_64 false _let_61 false _let_59 false _let_115)) _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.b tptp.a tptp.a _let_21 _let_21 _let_21 _let_21 _let_21 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_53 false _let_8)) :args (_let_46 false _let_4 false _let_51 false _let_49 false _let_53)) :args (_let_37 false _let_48 false _let_23 false _let_47 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.b tptp.a _let_21 tptp.b tptp.a _let_21 tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_8)) :args (_let_24 false _let_4 false _let_35 false _let_37 false _let_40)) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.b tptp.a QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_20 false _let_26)) _let_29 _let_25 :args (false false _let_24 false _let_23 false _let_20 false _let_18 true _let_1)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.81/3.08 )
% 2.81/3.08 % SZS output end Proof for ALG440-1
% 2.81/3.08 % cvc5---1.0.5 exiting
% 2.81/3.08 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------