TSTP Solution File: GRP767-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 00:27:28 EDT 2023
% Result : Unsatisfiable 7.69s 7.92s
% Output : Proof 7.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 22:57:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.voLhIRvZ51/cvc5---1.0.5_1705.p...
% 0.21/0.51 ------- get file name : TPTP file name is GRP767-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1705.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 7.69/7.92 % SZS status Unsatisfiable for GRP767-1
% 7.69/7.92 % SZS output start Proof for GRP767-1
% 7.69/7.93 (
% 7.69/7.93 (let ((_let_1 (tptp.j tptp.x1))) (let ((_let_2 (tptp.product tptp.x1 tptp.x0))) (let ((_let_3 (tptp.j _let_2))) (let ((_let_4 (tptp.j tptp.x0))) (let ((_let_5 (tptp.j _let_4))) (let ((_let_6 (tptp.product _let_5 _let_3))) (let ((_let_7 (= _let_6 _let_1))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.t A B) (tptp.quotient (tptp.product A B) A))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.eta A))) (= (tptp.product _let_1 (tptp.product B C)) (tptp.product (tptp.product _let_1 B) C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product A (tptp.product (tptp.eta A) B)) (tptp.product (tptp.j (tptp.j A)) B))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product (tptp.i (tptp.i A)) B) (tptp.product (tptp.eta A) (tptp.product A B)))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.eta A) (tptp.product (tptp.i A) A))))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.product (tptp.i A) A) (tptp.product A (tptp.j A)))))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.j A) (tptp.quotient tptp.one A))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.i A) (tptp.difference A tptp.one))))) (let ((_let_17 (forall ((A $$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))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product (tptp.quotient A B) B) A)))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.quotient (tptp.product A B) B) A)))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.difference A (tptp.product A B)) B)))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.product A (tptp.difference A B)) B)))) (let ((_let_22 (forall ((A $$unsorted)) (= (tptp.product A tptp.one) A)))) (let ((_let_23 (tptp.quotient tptp.one tptp.x0))) (let ((_let_24 (= _let_4 _let_23))) (let ((_let_25 (= _let_1 (tptp.quotient tptp.one tptp.x1)))) (let ((_let_26 (tptp.quotient tptp.one _let_4))) (let ((_let_27 (= _let_5 _let_26))) (let ((_let_28 (tptp.quotient tptp.one _let_2))) (let ((_let_29 (= _let_3 _let_28))) (let ((_let_30 (tptp.product tptp.x0 _let_4))) (let ((_let_31 (tptp.i tptp.x0))) (let ((_let_32 (tptp.product _let_31 tptp.x0))) (let ((_let_33 (= _let_32 _let_30))) (let ((_let_34 (tptp.i _let_4))) (let ((_let_35 (tptp.product _let_34 _let_4))) (let ((_let_36 (= _let_35 (tptp.product _let_4 _let_5)))) (let ((_let_37 (tptp.eta tptp.x0))) (let ((_let_38 (tptp.product _let_37 _let_3))) (let ((_let_39 (tptp.product tptp.x0 _let_38))) (let ((_let_40 (= _let_6 _let_39))) (let ((_let_41 (= _let_31 (tptp.quotient _let_32 tptp.x0)))) (let ((_let_42 (tptp.product _let_23 tptp.x0))) (let ((_let_43 (= tptp.one _let_42))) (let ((_let_44 (tptp.product _let_26 _let_4))) (let ((_let_45 (= tptp.one _let_44))) (let ((_let_46 (= tptp.one (tptp.product _let_28 _let_2)))) (let ((_let_47 (tptp.difference tptp.x0 tptp.one))) (let ((_let_48 (= _let_31 _let_47))) (let ((_let_49 (tptp.difference tptp.x1 tptp.one))) (let ((_let_50 (= (tptp.i tptp.x1) _let_49))) (let ((_let_51 (tptp.difference _let_4 tptp.one))) (let ((_let_52 (= _let_34 _let_51))) (let ((_let_53 (tptp.difference _let_2 tptp.one))) (let ((_let_54 (tptp.i _let_2))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (= _let_32 _let_37))) (let ((_let_57 (tptp.eta _let_4))) (let ((_let_58 (= _let_35 _let_57))) (let ((_let_59 (= (tptp.t tptp.x0 _let_4) (tptp.quotient _let_30 tptp.x0)))) (let ((_let_60 (= (tptp.t _let_34 _let_4) (tptp.quotient _let_35 _let_34)))) (let ((_let_61 (= tptp.one (tptp.product tptp.x0 _let_47)))) (let ((_let_62 (= tptp.one (tptp.product tptp.x1 _let_49)))) (let ((_let_63 (= tptp.one (tptp.product _let_4 _let_51)))) (let ((_let_64 (tptp.product _let_2 _let_53))) (let ((_let_65 (= tptp.one _let_64))) (let ((_let_66 (= tptp.x0 (tptp.difference _let_23 _let_42)))) (let ((_let_67 (= _let_4 (tptp.difference _let_26 _let_44)))) (let ((_let_68 (tptp.quotient (tptp.product tptp.x0 (tptp.product _let_54 tptp.x1)) tptp.x1))) (let ((_let_69 (tptp.quotient _let_68 _let_54))) (let ((_let_70 (tptp.product _let_69 _let_54))) (let ((_let_71 (= _let_68 _let_70))) (let ((_let_72 (tptp.product _let_2 _let_54))) (let ((_let_73 (= _let_68 (tptp.difference tptp.x1 _let_72)))) (let ((_let_74 (= _let_2 (tptp.quotient _let_64 _let_53)))) (let ((_let_75 (tptp.i _let_26))) (let ((_let_76 (= _let_75 (tptp.difference _let_26 tptp.one)))) (let ((_let_77 (tptp.product _let_4 tptp.x0))) (let ((_let_78 (= (tptp.product (tptp.i _let_34) tptp.x0) (tptp.product _let_57 _let_77)))) (let ((_let_79 (= tptp.x1 (tptp.product tptp.x1 tptp.one)))) (let ((_let_80 (tptp.quotient (tptp.product tptp.x1 _let_70) _let_54))) (let ((_let_81 (= _let_80 (tptp.product (tptp.quotient _let_80 _let_69) _let_69)))) (let ((_let_82 (tptp.product tptp.x1 _let_72))) (let ((_let_83 (= _let_82 (tptp.product (tptp.quotient _let_82 _let_54) _let_54)))) (let ((_let_84 (tptp.product _let_39 tptp.x1))) (let ((_let_85 (tptp.difference tptp.x0 _let_84))) (let ((_let_86 (= _let_85 (tptp.quotient (tptp.product _let_38 _let_2) tptp.x0)))) (let ((_let_87 (tptp.eta _let_26))) (let ((_let_88 (= (tptp.product _let_75 _let_26) _let_87))) (let ((_let_89 (= _let_84 (tptp.product tptp.x0 _let_85)))) (let ((_let_90 (tptp.product _let_5 _let_28))) (let ((_let_91 (= _let_90 (tptp.quotient (tptp.product _let_90 tptp.x1) tptp.x1)))) (let ((_let_92 (= (tptp.product _let_87 (tptp.product _let_3 _let_2)) (tptp.product (tptp.product _let_87 _let_3) _let_2)))) (let ((_let_93 (_let_15))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.j A)))) (let ((_let_96 (_let_14))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 ((tptp.j A)))) (let ((_let_99 (_let_11))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.quotient (tptp.product A B) B))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 ((tptp.product A B)))) (let ((_let_105 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.product (tptp.quotient A B) B))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 ((tptp.quotient A B)))) (let ((_let_109 (_let_16))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 ((tptp.i A)))) (let ((_let_112 (_let_13))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 ((tptp.i A)))) (let ((_let_115 (_let_9))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 ((tptp.product A B)))) (let ((_let_118 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.product A (tptp.difference A B)))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 ((tptp.difference A B)))) (let ((_let_122 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.difference A (tptp.product A B)))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_122))) (let ((_let_125 ((tptp.product A B)))) (let ((_let_126 (_let_17))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (tptp.product C A))) (let ((_let_129 (_let_12))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (forall ((A $$unsorted)) (= A (tptp.product A tptp.one))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (_let_10))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (and _let_24 _let_25 _let_27 _let_29 _let_33 _let_36 _let_40 _let_41 _let_43 _let_45 _let_46 _let_48 _let_50 _let_52 _let_55 _let_56 _let_58 _let_59 _let_60 _let_61 _let_62 _let_63 _let_65 _let_66 _let_67 _let_71 _let_73 _let_74 _let_76 _let_78 _let_79 _let_81 _let_83 _let_86 _let_88 _let_89 _let_91 _let_92))) (let ((_let_136 (ASSUME :args (_let_25)))) (let ((_let_137 (APPLY_UF tptp.quotient))) (let ((_let_138 (REFL :args (tptp.x1)))) (let ((_let_139 (ASSUME :args (_let_61)))) (let ((_let_140 (APPLY_UF tptp.product))) (let ((_let_141 (ASSUME :args (_let_48)))) (let ((_let_142 (ASSUME :args (_let_41)))) (let ((_let_143 (REFL :args (tptp.x0)))) (let ((_let_144 (ASSUME :args (_let_33)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (ASSUME :args (_let_59)))) (let ((_let_147 (REFL :args (_let_4)))) (let ((_let_148 (ASSUME :args (_let_66)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (APPLY_UF tptp.difference))) (let ((_let_151 (ASSUME :args (_let_43)))) (let ((_let_152 (ASSUME :args (_let_24)))) (let ((_let_153 (CONG (SYMM (SYMM _let_152)) (SYMM (SYMM _let_151)) :args _let_150))) (let ((_let_154 (ASSUME :args (_let_52)))) (let ((_let_155 (TRANS (SYMM (SYMM _let_154)) _let_153 _let_149))) (let ((_let_156 (ASSUME :args (_let_60)))) (let ((_let_157 (SYMM _let_155))) (let ((_let_158 (CONG _let_157 _let_147 :args _let_140))) (let ((_let_159 (ASSUME :args (_let_78)))) (let ((_let_160 (ASSUME :args (_let_58)))) (let ((_let_161 (ASSUME :args (_let_56)))) (let ((_let_162 (ASSUME :args (_let_63)))) (let ((_let_163 (ASSUME :args (_let_46)))) (let ((_let_164 (REFL :args (_let_2)))) (let ((_let_165 (ASSUME :args (_let_29)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (ASSUME :args (_let_36)))) (let ((_let_168 (ASSUME :args (_let_27)))) (let ((_let_169 (ASSUME :args (_let_67)))) (let ((_let_170 (ASSUME :args (_let_45)))) (let ((_let_171 (ASSUME :args (_let_76)))) (let ((_let_172 (ASSUME :args (_let_88)))) (let ((_let_173 (TRANS (SYMM _let_172) (CONG (TRANS (SYMM (SYMM _let_171)) (CONG (REFL :args (_let_26)) (SYMM (SYMM _let_170)) :args _let_150) (SYMM _let_169)) (SYMM _let_168) :args _let_140) (SYMM _let_167) (SYMM _let_158) _let_145 _let_161))) (let ((_let_174 (ASSUME :args (_let_92)))) (let ((_let_175 (ASSUME :args (_let_74)))) (let ((_let_176 (ASSUME :args (_let_55)))) (let ((_let_177 (SYMM (SYMM _let_176)))) (let ((_let_178 (ASSUME :args (_let_65)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (ASSUME :args (_let_62)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (CONG _let_164 _let_177 :args _let_140))) (let ((_let_183 (ASSUME :args (_let_73)))) (let ((_let_184 (ASSUME :args (_let_71)))) (let ((_let_185 (ASSUME :args (_let_81)))) (let ((_let_186 (CONG (REFL :args (_let_38)) (TRANS (SYMM _let_185) (CONG (TRANS (TRANS (CONG _let_138 (TRANS (SYMM _let_184) (SYMM (SYMM _let_183)) (CONG _let_138 (TRANS _let_182 _let_179) :args _let_150)) :args _let_140) _let_181) (SYMM _let_179)) _let_177 :args _let_137) (SYMM _let_175)) :args _let_140))) (let ((_let_187 (ASSUME :args (_let_86)))) (let ((_let_188 (ASSUME :args (_let_89)))) (let ((_let_189 (ASSUME :args (_let_40)))) (let ((_let_190 (CONG (REFL :args (_let_5)) _let_166 :args _let_140))) (let ((_let_191 (ASSUME :args (_let_79)))) (let ((_let_192 (ASSUME :args (_let_50)))) (let ((_let_193 (CONG _let_138 (SYMM (SYMM _let_192)) :args _let_140))) (let ((_let_194 (ASSUME :args (_let_83)))) (let ((_let_195 (CONG (REFL :args (_let_90)) (TRANS (SYMM _let_194) (CONG _let_138 (TRANS _let_182 _let_179 _let_180 (SYMM _let_193)) :args _let_140) (CONG _let_138 (TRANS _let_193 _let_181) :args _let_140) (SYMM _let_191)) :args _let_140))) (let ((_let_196 (ASSUME :args (_let_91)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_135)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_139 _let_148 _let_152 _let_151 _let_154 _let_141 _let_142 _let_144 _let_146 _let_156 _let_159 _let_160 _let_161 _let_167 _let_169 _let_168 _let_170 _let_171 _let_172 _let_162 _let_163 _let_165 _let_174 _let_175 _let_178 _let_180 _let_176 _let_183 _let_184 _let_185 _let_187 _let_188 _let_189 _let_191 _let_192 _let_194 _let_196) (SCOPE (TRANS (SYMM _let_190) (SYMM (SYMM _let_196)) (CONG (TRANS (SYMM _let_195) (TRANS _let_195 (CONG (TRANS _let_190 (SYMM (SYMM _let_189))) _let_138 :args _let_140) (SYMM (SYMM _let_188)) (CONG _let_143 (TRANS (SYMM (SYMM _let_187)) (CONG (TRANS (SYMM _let_186) (TRANS _let_186 (CONG (CONG (SYMM _let_173) (REFL :args (_let_3)) :args _let_140) _let_164 :args _let_140) (SYMM _let_174) (CONG _let_173 (TRANS (CONG (SYMM _let_166) _let_164 :args _let_140) (SYMM _let_163) (SYMM (SYMM _let_162)) (CONG _let_147 (TRANS _let_153 _let_149) :args _let_140)) :args _let_140) (CONG (TRANS (SYMM _let_161) _let_144 _let_158 (SYMM (SYMM _let_160))) (REFL :args (_let_77)) :args _let_140) (SYMM _let_159) (CONG (CONG _let_155 :args (APPLY_UF tptp.i)) _let_143 :args _let_140) _let_144) _let_158) _let_157 :args _let_137) (SYMM _let_156) (CONG _let_155 _let_147 :args (APPLY_UF tptp.t)) (SYMM (SYMM _let_146)) (CONG _let_145 _let_143 :args _let_137) (SYMM _let_142) (SYMM (SYMM _let_141))) :args _let_140) (SYMM _let_139))) _let_138 :args _let_137) (SYMM _let_136)) :args (_let_25 _let_61 _let_66 _let_24 _let_43 _let_52 _let_48 _let_41 _let_33 _let_59 _let_60 _let_78 _let_58 _let_56 _let_36 _let_67 _let_27 _let_45 _let_76 _let_88 _let_63 _let_46 _let_29 _let_92 _let_74 _let_65 _let_62 _let_55 _let_73 _let_71 _let_81 _let_86 _let_89 _let_40 _let_79 _let_50 _let_83 _let_91))) :args (_let_24 _let_25 _let_27 _let_29 _let_33 _let_36 _let_40 _let_41 _let_43 _let_45 _let_46 _let_48 _let_50 _let_52 _let_55 _let_56 _let_58 _let_59 _let_60 _let_61 _let_62 _let_63 _let_65 _let_66 _let_67 _let_71 _let_73 _let_74 _let_76 _let_78 _let_79 _let_81 _let_83 _let_86 _let_88 _let_89 _let_91 _let_92))) :args (true _let_135)) :args ((or _let_7 (not _let_24) (not _let_25) (not _let_27) (not _let_29) (not _let_33) (not _let_36) (not _let_40) (not _let_41) (not _let_43) (not _let_45) (not _let_46) (not _let_48) (not _let_50) (not _let_52) (not _let_55) (not _let_56) (not _let_58) (not _let_59) (not _let_60) (not _let_61) (not _let_62) (not _let_63) (not _let_65) (not _let_66) (not _let_67) (not _let_71) (not _let_73) (not _let_74) (not _let_76) (not _let_78) (not _let_79) (not _let_81) (not _let_83) (not _let_86) (not _let_88) (not _let_89) (not _let_91) (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_26 _let_3 _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.product (tptp.product (tptp.eta A) B) C)))) :args _let_133)) _let_134 :args (_let_92 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_90 tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_91 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.x0 _let_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_89 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112))) _let_113 :args (_let_88 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.x0 _let_38 tptp.x1 QUANTIFIERS_INST_E_MATCHING ((tptp.product A B) _let_128))) :args _let_126)) _let_127 :args (_let_86 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_82 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_83 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_80 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_81 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.product A tptp.one)))) :args (_let_131))) _let_132 :args (_let_79 false _let_131)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_4 tptp.x0 QUANTIFIERS_INST_E_MATCHING ((tptp.product (tptp.i (tptp.i A)) B)))) :args _let_129)) _let_130 :args (_let_78 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.difference A tptp.one)))) :args _let_109)) _let_110 :args (_let_76 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_2 _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_74 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.x1 tptp.x0 _let_54 QUANTIFIERS_INST_E_MATCHING ((tptp.product B _let_128)))) :args _let_126))) _let_127 :args (_let_73 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_68 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_71 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_26 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_125)) :args _let_124)) _let_123 :args (_let_67 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_23 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_125)) :args _let_124)) _let_123 :args (_let_66 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_2 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_65 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_4 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_63 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.x1 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_62 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.x0 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_61 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_34 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_60 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.x0 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_59 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112))) _let_113 :args (_let_58 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.eta A)))) :args _let_112))) _let_113 :args (_let_56 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_55 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_52 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_50 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_48 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.one _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_46 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.one _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_45 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.one tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_43 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_31 tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_41 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.x0 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.product (tptp.j (tptp.j A)) B)))) :args _let_99))) _let_100 :args (_let_40 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_36 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_33 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_29 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_27 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_25 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_24 false _let_15)) (ASSUME :args (_let_8)) :args (false false _let_92 false _let_91 false _let_89 false _let_88 false _let_86 false _let_83 false _let_81 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 false _let_67 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 false _let_58 false _let_56 false _let_55 false _let_52 false _let_50 false _let_48 false _let_46 false _let_45 false _let_43 false _let_41 false _let_40 false _let_36 false _let_33 false _let_29 false _let_27 false _let_25 false _let_24 true _let_7)) :args (_let_22 (forall ((A $$unsorted)) (= (tptp.product tptp.one A) A)) _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((A $$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_16 _let_15 _let_14 _let_13 _let_12 _let_11 (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)))) _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.l A B C) (tptp.difference (tptp.product A B) (tptp.product A (tptp.product B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.l A A (tptp.product B C)) (tptp.product (tptp.l A A B) (tptp.l A A C)))) _let_9 (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))))) _let_8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 7.69/7.93 )
% 7.69/7.94 % SZS output end Proof for GRP767-1
% 7.69/7.95 % cvc5---1.0.5 exiting
% 7.69/7.95 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------