TSTP Solution File: GRP772-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP772-1 : 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 00:27:29 EDT 2023
% Result : Unsatisfiable 2.34s 2.56s
% Output : Proof 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP772-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.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 01:14:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GeCgpaWM2b/cvc5---1.0.5_10333.p...
% 0.19/0.50 ------- get file name : TPTP file name is GRP772-1
% 0.19/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10333.smt2...
% 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.34/2.56 % SZS status Unsatisfiable for GRP772-1
% 2.34/2.56 % SZS output start Proof for GRP772-1
% 2.34/2.57 (
% 2.34/2.57 (let ((_let_1 (tptp.a tptp.x1 tptp.x1 tptp.x0))) (let ((_let_2 (tptp.a tptp.x0 tptp.x1 tptp.x1))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.a (tptp.j A) B C) (tptp.a B C A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.a A (tptp.i B) C) (tptp.a A (tptp.j B) C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.product (tptp.a A B C) (tptp.difference C (tptp.product (tptp.a C A B) C))) tptp.one)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.j A) (tptp.quotient tptp.one A))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.i A) (tptp.difference A tptp.one))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product (tptp.quotient A B) B) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.quotient (tptp.product A B) B) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.difference A (tptp.product A B)) B)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product A (tptp.difference A B)) B)))) (let ((_let_14 (tptp.a tptp.x1 tptp.x0 tptp.x1))) (let ((_let_15 (tptp.product _let_14 tptp.x1))) (let ((_let_16 (tptp.difference tptp.x1 _let_15))) (let ((_let_17 (tptp.product _let_2 _let_16))) (let ((_let_18 (= tptp.one _let_17))) (let ((_let_19 (tptp.difference tptp.x1 (tptp.product _let_1 tptp.x1)))) (let ((_let_20 (tptp.product _let_14 _let_19))) (let ((_let_21 (= tptp.one _let_20))) (let ((_let_22 (tptp.j tptp.x1))) (let ((_let_23 (tptp.a _let_22 tptp.x0 tptp.x1))) (let ((_let_24 (= _let_2 _let_23))) (let ((_let_25 (= _let_15 (tptp.product tptp.x1 _let_16)))) (let ((_let_26 (= _let_16 (tptp.difference _let_2 _let_17)))) (let ((_let_27 (= _let_19 (tptp.difference _let_14 _let_20)))) (let ((_let_28 (= _let_2 (tptp.quotient _let_17 _let_16)))) (let ((_let_29 (= _let_14 (tptp.quotient _let_15 tptp.x1)))) (let ((_let_30 (tptp.quotient tptp.one tptp.x1))) (let ((_let_31 (= _let_22 _let_30))) (let ((_let_32 (tptp.a tptp.x1 _let_22 tptp.x0))) (let ((_let_33 (tptp.product _let_32 tptp.x1))) (let ((_let_34 (tptp.difference tptp.x1 _let_33))) (let ((_let_35 (tptp.product _let_23 _let_34))) (let ((_let_36 (= tptp.one _let_35))) (let ((_let_37 (tptp.difference _let_22 (tptp.product _let_23 _let_22)))) (let ((_let_38 (tptp.a tptp.x0 tptp.x1 _let_22))) (let ((_let_39 (tptp.product _let_38 _let_37))) (let ((_let_40 (= tptp.one _let_39))) (let ((_let_41 (tptp.a _let_22 tptp.x1 tptp.x0))) (let ((_let_42 (= _let_14 _let_41))) (let ((_let_43 (tptp.a _let_22 _let_22 tptp.x0))) (let ((_let_44 (= _let_23 _let_43))) (let ((_let_45 (= _let_33 (tptp.product tptp.x1 _let_34)))) (let ((_let_46 (= _let_34 (tptp.difference _let_23 _let_35)))) (let ((_let_47 (= _let_37 (tptp.difference _let_38 _let_39)))) (let ((_let_48 (= _let_32 (tptp.quotient _let_33 tptp.x1)))) (let ((_let_49 (tptp.product _let_30 tptp.x1))) (let ((_let_50 (= tptp.one _let_49))) (let ((_let_51 (tptp.product _let_38 tptp.x0))) (let ((_let_52 (tptp.difference tptp.x0 _let_51))) (let ((_let_53 (tptp.product _let_32 _let_52))) (let ((_let_54 (= tptp.one _let_53))) (let ((_let_55 (tptp.a tptp.x0 _let_22 tptp.x1))) (let ((_let_56 (tptp.product _let_55 tptp.x0))) (let ((_let_57 (tptp.difference tptp.x0 _let_56))) (let ((_let_58 (tptp.product _let_41 _let_57))) (let ((_let_59 (= tptp.one _let_58))) (let ((_let_60 (tptp.difference _let_22 (tptp.product _let_41 _let_22)))) (let ((_let_61 (tptp.a tptp.x1 tptp.x0 _let_22))) (let ((_let_62 (tptp.product _let_61 _let_60))) (let ((_let_63 (= tptp.one _let_62))) (let ((_let_64 (tptp.j _let_22))) (let ((_let_65 (tptp.a _let_64 tptp.x0 tptp.x1))) (let ((_let_66 (= _let_38 _let_65))) (let ((_let_67 (tptp.j tptp.x0))) (let ((_let_68 (tptp.a _let_67 _let_22 tptp.x1))) (let ((_let_69 (= _let_41 _let_68))) (let ((_let_70 (tptp.a _let_67 _let_22 _let_22))) (let ((_let_71 (= _let_43 _let_70))) (let ((_let_72 (= _let_51 (tptp.product tptp.x0 _let_52)))) (let ((_let_73 (= _let_56 (tptp.product tptp.x0 _let_57)))) (let ((_let_74 (= _let_52 (tptp.difference _let_32 _let_53)))) (let ((_let_75 (= _let_57 (tptp.difference _let_41 _let_58)))) (let ((_let_76 (= tptp.x1 (tptp.difference _let_30 _let_49)))) (let ((_let_77 (= _let_2 (tptp.quotient (tptp.product _let_2 tptp.x1) tptp.x1)))) (let ((_let_78 (= _let_38 (tptp.quotient _let_51 tptp.x0)))) (let ((_let_79 (= _let_55 (tptp.quotient _let_56 tptp.x0)))) (let ((_let_80 (= _let_61 (tptp.quotient _let_62 _let_60)))) (let ((_let_81 (tptp.product _let_61 tptp.x1))) (let ((_let_82 (tptp.difference tptp.x1 _let_81))) (let ((_let_83 (tptp.product _let_55 _let_82))) (let ((_let_84 (= tptp.one _let_83))) (let ((_let_85 (tptp.a _let_22 _let_67 _let_22))) (let ((_let_86 (tptp.difference _let_22 (tptp.product _let_85 _let_22)))) (let ((_let_87 (tptp.product _let_70 _let_86))) (let ((_let_88 (= tptp.one _let_87))) (let ((_let_89 (tptp.a tptp.x1 _let_64 tptp.x0))) (let ((_let_90 (tptp.product _let_89 tptp.x1))) (let ((_let_91 (tptp.difference tptp.x1 _let_90))) (let ((_let_92 (tptp.product _let_65 _let_91))) (let ((_let_93 (= tptp.one _let_92))) (let ((_let_94 (= _let_68 _let_85))) (let ((_let_95 (= _let_81 (tptp.product tptp.x1 _let_82)))) (let ((_let_96 (= _let_90 (tptp.product tptp.x1 _let_91)))) (let ((_let_97 (= _let_86 (tptp.difference _let_70 _let_87)))) (let ((_let_98 (= _let_82 (tptp.difference _let_55 _let_83)))) (let ((_let_99 (= _let_91 (tptp.difference _let_65 _let_92)))) (let ((_let_100 (= _let_89 (tptp.quotient _let_90 tptp.x1)))) (let ((_let_101 (tptp.i _let_22))) (let ((_let_102 (= _let_101 (tptp.difference _let_22 tptp.one)))) (let ((_let_103 (= _let_89 (tptp.a tptp.x1 _let_101 tptp.x0)))) (let ((_let_104 (ASSUME :args (_let_4)))) (let ((_let_105 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= tptp.one (tptp.product (tptp.a A B C) (tptp.difference C (tptp.product (tptp.a C A B) C))))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 ((tptp.a A B C)))) (let ((_let_109 ((tptp.a C A B)))) (let ((_let_110 (_let_5))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 ((tptp.a B C A)))) (let ((_let_113 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.product A (tptp.difference A B)))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((tptp.difference A B)))) (let ((_let_117 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.difference A (tptp.product A B)))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.product A B)))) (let ((_let_121 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.quotient (tptp.product A B) B))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 ((tptp.product A B)))) (let ((_let_125 (_let_8))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.product (tptp.quotient A B) B))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_9))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (_let_6))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (and _let_4 _let_18 _let_21 _let_24 _let_25 _let_26 _let_27 _let_28 _let_29 _let_31 _let_36 _let_40 _let_42 _let_44 _let_45 _let_46 _let_47 _let_48 _let_50 _let_54 _let_59 _let_63 _let_66 _let_69 _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80 _let_84 _let_88 _let_93 _let_94 _let_95 _let_96 _let_97 _let_98 _let_99 _let_100 _let_102))) (let ((_let_134 (REFL :args (tptp.x0)))) (let ((_let_135 (ASSUME :args (_let_76)))) (let ((_let_136 (APPLY_UF tptp.difference))) (let ((_let_137 (ASSUME :args (_let_50)))) (let ((_let_138 (ASSUME :args (_let_31)))) (let ((_let_139 (ASSUME :args (_let_102)))) (let ((_let_140 (REFL :args (tptp.x1)))) (let ((_let_141 (ASSUME :args (_let_77)))) (let ((_let_142 (APPLY_UF tptp.quotient))) (let ((_let_143 (APPLY_UF tptp.product))) (let ((_let_144 (ASSUME :args (_let_28)))) (let ((_let_145 (ASSUME :args (_let_26)))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (ASSUME :args (_let_18)))) (let ((_let_148 (SYMM (SYMM _let_147)))) (let ((_let_149 (ASSUME :args (_let_88)))) (let ((_let_150 (ASSUME :args (_let_24)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (ASSUME :args (_let_44)))) (let ((_let_153 (ASSUME :args (_let_71)))) (let ((_let_154 (ASSUME :args (_let_97)))) (let ((_let_155 (REFL :args (_let_22)))) (let ((_let_156 (ASSUME :args (_let_94)))) (let ((_let_157 (ASSUME :args (_let_69)))) (let ((_let_158 (ASSUME :args (_let_42)))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (ASSUME :args (_let_63)))) (let ((_let_162 (ASSUME :args (_let_80)))) (let ((_let_163 (CONG (TRANS (SYMM (SYMM _let_162)) (CONG (SYMM _let_161) (REFL :args (_let_60)) :args _let_142) (CONG _let_148 (TRANS (CONG _let_155 (CONG (TRANS _let_159 (TRANS _let_160 (SYMM (SYMM _let_157)) (SYMM (SYMM _let_156)))) _let_155 :args _let_143) :args _let_136) (SYMM (SYMM _let_154)) (CONG (TRANS (SYMM _let_153) (SYMM _let_152) _let_151) (TRANS (SYMM _let_149) _let_148) :args _let_136) _let_146) :args _let_142) (SYMM _let_144)) _let_140 :args _let_143))) (let ((_let_164 (ASSUME :args (_let_95)))) (let ((_let_165 (ASSUME :args (_let_98)))) (let ((_let_166 (ASSUME :args (_let_84)))) (let ((_let_167 (ASSUME :args (_let_40)))) (let ((_let_168 (ASSUME :args (_let_79)))) (let ((_let_169 (ASSUME :args (_let_73)))) (let ((_let_170 (ASSUME :args (_let_75)))) (let ((_let_171 (ASSUME :args (_let_59)))) (let ((_let_172 (ASSUME :args (_let_21)))) (let ((_let_173 (ASSUME :args (_let_27)))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (ASSUME :args (_let_54)))) (let ((_let_176 (ASSUME :args (_let_29)))) (let ((_let_177 (ASSUME :args (_let_25)))) (let ((_let_178 (ASSUME :args (_let_36)))) (let ((_let_179 (ASSUME :args (_let_46)))) (let ((_let_180 (ASSUME :args (_let_45)))) (let ((_let_181 (ASSUME :args (_let_48)))) (let ((_let_182 (ASSUME :args (_let_74)))) (let ((_let_183 (ASSUME :args (_let_72)))) (let ((_let_184 (ASSUME :args (_let_78)))) (let ((_let_185 (ASSUME :args (_let_47)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (ASSUME :args (_let_93)))) (let ((_let_188 (ASSUME :args (_let_66)))) (let ((_let_189 (ASSUME :args (_let_99)))) (let ((_let_190 (ASSUME :args (_let_96)))) (let ((_let_191 (ASSUME :args (_let_100)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_104 _let_141 _let_144 _let_147 _let_145 _let_150 _let_152 _let_153 _let_149 _let_154 _let_156 _let_157 _let_158 _let_161 _let_162 _let_164 _let_165 _let_168 _let_169 _let_170 _let_171 _let_172 _let_173 _let_176 _let_177 _let_178 _let_179 _let_180 _let_181 _let_175 _let_182 _let_183 _let_184 _let_166 _let_167 _let_185 _let_188 _let_187 _let_189 _let_190 _let_191 _let_135 _let_138 _let_137 _let_139) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_191)) (CONG (TRANS (TRANS (SYMM (SYMM _let_190)) (CONG _let_140 (TRANS (SYMM (SYMM _let_189)) (CONG (SYMM _let_188) (TRANS (SYMM _let_187) _let_167) :args _let_136) _let_186) :args _let_143) (CONG _let_140 (TRANS (SYMM _let_186) (CONG (TRANS (SYMM (SYMM _let_184)) (CONG (TRANS (SYMM (SYMM _let_183)) (CONG _let_134 (TRANS (SYMM (SYMM _let_182)) (CONG (TRANS (SYMM (SYMM _let_181)) (CONG (TRANS (SYMM (SYMM _let_180)) (CONG _let_140 (TRANS (SYMM (SYMM _let_179)) (CONG _let_151 (TRANS (SYMM _let_178) _let_148) :args _let_136) _let_146) :args _let_143) (SYMM _let_177)) _let_140 :args _let_142) (SYMM _let_176)) (TRANS (SYMM _let_175) _let_172) :args _let_136) _let_174) :args _let_143) (CONG _let_134 (TRANS (SYMM _let_174) (CONG _let_160 (TRANS (SYMM _let_172) (SYMM (SYMM _let_171))) :args _let_136) (SYMM _let_170)) :args _let_143) (SYMM _let_169)) _let_134 :args _let_142) (SYMM _let_168)) (TRANS (SYMM _let_167) (SYMM (SYMM _let_166))) :args _let_136) (SYMM _let_165)) :args _let_143) (SYMM _let_164) _let_163) (SYMM _let_163)) _let_140 :args _let_142) (CONG _let_163 _let_140 :args _let_142) (SYMM _let_141)) (CONG _let_140 (TRANS (SYMM (SYMM _let_139)) (CONG (SYMM (SYMM _let_138)) (SYMM (SYMM _let_137)) :args _let_136) (SYMM _let_135)) _let_134 :args (APPLY_UF tptp.a)) :args (=)) (FALSE_INTRO _let_104))) :args (_let_4 _let_77 _let_28 _let_18 _let_26 _let_24 _let_44 _let_71 _let_88 _let_97 _let_94 _let_69 _let_42 _let_63 _let_80 _let_95 _let_98 _let_79 _let_73 _let_75 _let_59 _let_21 _let_27 _let_29 _let_25 _let_36 _let_46 _let_45 _let_48 _let_54 _let_74 _let_72 _let_78 _let_84 _let_40 _let_47 _let_66 _let_93 _let_99 _let_96 _let_100 _let_76 _let_31 _let_50 _let_102))) :args (_let_4 _let_18 _let_21 _let_24 _let_25 _let_26 _let_27 _let_28 _let_29 _let_31 _let_36 _let_40 _let_42 _let_44 _let_45 _let_46 _let_47 _let_48 _let_50 _let_54 _let_59 _let_63 _let_66 _let_69 _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80 _let_84 _let_88 _let_93 _let_94 _let_95 _let_96 _let_97 _let_98 _let_99 _let_100 _let_102))) :args (true _let_133)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_18))) (REFL :args ((not _let_21))) (REFL :args ((not _let_24))) (REFL :args ((not _let_25))) (REFL :args ((not _let_26))) (REFL :args ((not _let_27))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_36))) (REFL :args ((not _let_40))) (REFL :args ((not _let_42))) (REFL :args ((not _let_44))) (REFL :args ((not _let_45))) (REFL :args ((not _let_46))) (REFL :args ((not _let_47))) (REFL :args ((not _let_48))) (REFL :args ((not _let_50))) (REFL :args ((not _let_54))) (REFL :args ((not _let_59))) (REFL :args ((not _let_63))) (REFL :args ((not _let_66))) (REFL :args ((not _let_69))) (REFL :args ((not _let_71))) (REFL :args ((not _let_72))) (REFL :args ((not _let_73))) (REFL :args ((not _let_74))) (REFL :args ((not _let_75))) (REFL :args ((not _let_76))) (REFL :args ((not _let_77))) (REFL :args ((not _let_78))) (REFL :args ((not _let_79))) (REFL :args ((not _let_80))) (REFL :args ((not _let_84))) (REFL :args ((not _let_88))) (REFL :args ((not _let_93))) (REFL :args ((not _let_94))) (REFL :args ((not _let_95))) (REFL :args ((not _let_96))) (REFL :args ((not _let_97))) (REFL :args ((not _let_98))) (REFL :args ((not _let_99))) (REFL :args ((not _let_100))) (REFL :args ((not _let_102))) (REFL :args ((not _let_103))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.x1 _let_22 tptp.x0 QUANTIFIERS_INST_E_MATCHING ((tptp.a A (tptp.j B) C)))) :args _let_131))) _let_132 :args (_let_103 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.i A)))) :args _let_129)) _let_130 :args (_let_102 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_89 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_100 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_65 _let_91 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_99 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_55 _let_82 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_98 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_70 _let_86 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_97 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x1 _let_90 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_96 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x1 _let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_95 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.x1 _let_67 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_94 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_64 tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_93 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_67 _let_22 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_88 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.x0 _let_22 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_84 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_61 _let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_80 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_55 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_79 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_38 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_78 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_2 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_77 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_30 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_76 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_41 _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_75 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_32 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_74 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x0 _let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_73 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x0 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_72 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.x0 _let_22 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_71 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.x0 _let_22 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_69 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_22 tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_66 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.x1 tptp.x0 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_107)) _let_106 :args (_let_63 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_22 tptp.x1 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_59 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.x1 _let_22 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_54 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.one tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.quotient A B)))) :args (_let_127))) _let_128 :args (_let_50 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_32 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_48 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_38 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_47 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_23 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_46 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x1 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_45 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.x1 _let_22 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_44 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.x1 tptp.x1 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_42 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.x0 tptp.x1 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_107)) _let_106 :args (_let_40 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_22 tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_36 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.j A)))) :args _let_125)) _let_126 :args (_let_31 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_14 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_29 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_2 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_28 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_14 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_27 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_26 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x1 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_25 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.x1 tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_24 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.x1 tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_107)) _let_106 :args (_let_21 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.x0 tptp.x1 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_18 false _let_105)) _let_104 :args (false false _let_103 false _let_102 false _let_100 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_88 false _let_84 false _let_80 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_71 false _let_69 false _let_66 false _let_63 false _let_59 false _let_54 false _let_50 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_36 false _let_31 false _let_29 false _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_21 false _let_18 true _let_3)) :args ((forall ((A $$unsorted)) (= (tptp.product A tptp.one) A)) (forall ((A $$unsorted)) (= (tptp.product tptp.one A) A)) _let_13 _let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.difference A (tptp.product (tptp.product A B) C)) (tptp.quotient (tptp.product B (tptp.product C A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.product A B))) (= (tptp.difference _let_1 (tptp.product A (tptp.product B C))) (tptp.quotient (tptp.quotient (tptp.product C _let_1) B) A)))) _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.product (tptp.i A) A) (tptp.product A (tptp.j A)))) (forall ((A $$unsorted)) (= (tptp.eta A) (tptp.product (tptp.i A) A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product (tptp.i (tptp.i A)) B) (tptp.product (tptp.eta A) (tptp.product A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product A (tptp.product (tptp.eta A) B)) (tptp.product (tptp.j (tptp.j A)) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.eta A))) (= (tptp.product A (tptp.product B _let_1)) (tptp.product (tptp.product A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.eta A))) (= (tptp.product _let_1 (tptp.product B C)) (tptp.product (tptp.product _let_1 B) C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.j A))) (= (tptp.quotient _let_1 A) (tptp.product _let_1 (tptp.i A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.product (tptp.quotient (tptp.j A) A) (tptp.product A A)))) (= (tptp.product (tptp.product _let_1 B) C) (tptp.product _let_1 (tptp.product B C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.t A B) (tptp.quotient (tptp.product A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.eta A))) (= (tptp.t _let_1 (tptp.product B C)) (tptp.product (tptp.t _let_1 B) (tptp.t _let_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product (tptp.i (tptp.product A B)) (tptp.i (tptp.i A))) (tptp.i B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product (tptp.j (tptp.j A)) (tptp.j (tptp.product B A))) (tptp.j B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.product (tptp.product A (tptp.product B C)) (tptp.a A B C)) (tptp.product (tptp.product A B) C))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product (tptp.product A B) (tptp.c B A)) (tptp.product B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.c A B))) (= (tptp.product _let_1 (tptp.product C D)) (tptp.product (tptp.product _let_1 C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.c C D))) (= (tptp.product (tptp.product A B) _let_1) (tptp.product A (tptp.product B _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.a A B C))) (= (tptp.product _let_1 (tptp.product D E)) (tptp.product (tptp.product _let_1 D) E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.a C D E))) (= (tptp.product (tptp.product A B) _let_1) (tptp.product A (tptp.product B _let_1))))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.a (tptp.i A) B C) (tptp.a (tptp.j A) B C))) _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.34/2.57 )
% 2.34/2.58 % SZS output end Proof for GRP772-1
% 2.34/2.58 % cvc5---1.0.5 exiting
% 2.34/2.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------