TSTP Solution File: GRP777+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP777+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 00:27:30 EDT 2023
% Result : Theorem 63.71s 53.87s
% Output : Proof 63.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP777+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.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 : Mon Aug 28 20:44:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 63.71/53.87 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6XcdAWtSf7/cvc5---1.0.5_9993.p...
% 63.71/53.87 ------- get file name : TPTP file name is GRP777+1
% 63.71/53.87 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9993.smt2...
% 63.71/53.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 63.71/53.87 --- Run --no-e-matching --full-saturate-quant at 5...
% 63.71/53.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 63.71/53.87 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 63.71/53.87 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 63.71/53.87 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 63.71/53.87 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 63.71/53.87 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 63.71/53.87 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 63.71/53.87 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 63.71/53.87 % SZS status Theorem for GRP777+1
% 63.71/53.87 % SZS output start Proof for GRP777+1
% 63.71/53.87 (
% 63.71/53.87 (let ((_let_1 (forall ((X0 $$unsorted)) (= (tptp.bigC tptp.a tptp.b X0) (tptp.bigC tptp.c tptp.c X0))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.a tptp.b))) (let ((_let_4 (tptp.product tptp.c tptp.b))) (let ((_let_5 (tptp.product tptp.a tptp.c))) (let ((_let_6 (tptp.product _let_5 _let_4))) (let ((_let_7 (= _let_6 _let_3))) (let ((_let_8 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.bigC A B C) (tptp.product (tptp.product A B) (tptp.product C A)))))) (let ((_let_9 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.product (tptp.product (tptp.product A B) B) (tptp.product B (tptp.product B A))) B)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.product A A) A)))) (let ((_let_11 (forall ((D $$unsorted) (C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.product (tptp.product A B) (tptp.product C D)) (tptp.product (tptp.product A C) (tptp.product B D)))))) (let ((_let_12 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.product (tptp.quotient A B) B) A)))) (let ((_let_13 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.quotient (tptp.product A B) B) A)))) (let ((_let_14 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.difference A (tptp.product A B)) B)))) (let ((_let_15 (tptp.bigC tptp.c tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.bigC tptp.a tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.a))) (let ((_let_19 (= _let_16 (tptp.product _let_3 _let_18)))) (let ((_let_20 (tptp.product tptp.c tptp.c))) (let ((_let_21 (tptp.product _let_20 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.c)))) (let ((_let_22 (= _let_15 _let_21))) (let ((_let_23 (tptp.product tptp.c tptp.a))) (let ((_let_24 (tptp.product tptp.a tptp.a))) (let ((_let_25 (tptp.product _let_24 _let_23))) (let ((_let_26 (tptp.product _let_5 _let_24))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (= tptp.a _let_24))) (let ((_let_29 (= tptp.c _let_20))) (let ((_let_30 (tptp.product _let_5 _let_5))) (let ((_let_31 (= (tptp.product _let_24 _let_20) _let_30))) (let ((_let_32 (tptp.product _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (= (tptp.product _let_6 _let_18) (tptp.product _let_32 (tptp.product _let_4 tptp.a))))) (let ((_let_34 (tptp.product tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (= _let_21 (tptp.product _let_34 _let_20)))) (let ((_let_36 (tptp.product _let_23 _let_23))) (let ((_let_37 (tptp.product _let_20 _let_24))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (tptp.quotient _let_5 tptp.a))) (let ((_let_40 (tptp.product _let_39 tptp.a))) (let ((_let_41 (= _let_5 _let_40))) (let ((_let_42 (tptp.product _let_23 _let_20))) (let ((_let_43 (tptp.product _let_20 _let_5))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (tptp.product tptp.a _let_5))) (let ((_let_46 (tptp.product _let_23 tptp.a))) (let ((_let_47 (tptp.product _let_46 _let_45))) (let ((_let_48 (= tptp.a _let_47))) (let ((_let_49 (= _let_20 (tptp.difference _let_23 _let_42)))) (let ((_let_50 (tptp.product _let_39 tptp.c))) (let ((_let_51 (tptp.product _let_50 _let_3))) (let ((_let_52 (= (tptp.product _let_40 _let_4) _let_51))) (let ((_let_53 (tptp.product tptp.c _let_45))) (let ((_let_54 (= (tptp.product _let_5 _let_47) (tptp.product (tptp.product tptp.a _let_46) _let_53)))) (let ((_let_55 (= (tptp.product _let_4 _let_47) (tptp.product (tptp.product tptp.c _let_46) (tptp.product tptp.b _let_45))))) (let ((_let_56 (tptp.product _let_23 tptp.c))) (let ((_let_57 (tptp.product _let_56 _let_46))) (let ((_let_58 (= (tptp.product _let_36 _let_23) _let_57))) (let ((_let_59 (= (tptp.product _let_36 _let_20) (tptp.product _let_56 _let_56)))) (let ((_let_60 (tptp.product _let_46 _let_56))) (let ((_let_61 (= (tptp.product _let_36 _let_5) _let_60))) (let ((_let_62 (tptp.product tptp.c _let_23))) (let ((_let_63 (tptp.product _let_5 tptp.c))) (let ((_let_64 (tptp.product _let_63 _let_62))) (let ((_let_65 (= tptp.c _let_64))) (let ((_let_66 (tptp.product _let_46 _let_46))) (let ((_let_67 (= _let_46 _let_66))) (let ((_let_68 (tptp.product _let_45 _let_45))) (let ((_let_69 (= _let_45 _let_68))) (let ((_let_70 (= (tptp.product _let_64 _let_5) (tptp.product (tptp.product _let_63 tptp.a) (tptp.product _let_62 tptp.c))))) (let ((_let_71 (= (tptp.product _let_57 _let_68) (tptp.product (tptp.product _let_56 _let_45) _let_47)))) (let ((_let_72 (= _let_50 (tptp.quotient _let_51 _let_3)))) (let ((_let_73 (tptp.product tptp.b tptp.a))) (let ((_let_74 (tptp.product _let_24 _let_73))) (let ((_let_75 (= (tptp.product _let_3 _let_24) _let_74))) (let ((_let_76 (tptp.product _let_3 _let_3))) (let ((_let_77 (= _let_3 _let_76))) (let ((_let_78 (tptp.product tptp.a _let_23))) (let ((_let_79 (= (tptp.product _let_24 _let_36) (tptp.product _let_78 _let_78)))) (let ((_let_80 (tptp.product _let_5 tptp.a))) (let ((_let_81 (= (tptp.product _let_30 _let_23) (tptp.product _let_63 _let_80)))) (let ((_let_82 (tptp.product tptp.c _let_5))) (let ((_let_83 (= (tptp.product _let_23 _let_30) (tptp.product _let_82 _let_45)))) (let ((_let_84 (= (tptp.product _let_62 _let_20) (tptp.product _let_20 _let_56)))) (let ((_let_85 (= (tptp.product _let_25 _let_26) (tptp.product (tptp.product _let_24 _let_5) (tptp.product _let_23 _let_24))))) (let ((_let_86 (= (tptp.product _let_63 _let_24) (tptp.product _let_80 _let_23)))) (let ((_let_87 (tptp.product _let_5 _let_46))) (let ((_let_88 (= _let_87 (tptp.product _let_78 _let_23)))) (let ((_let_89 (= _let_3 (tptp.quotient _let_76 _let_3)))) (let ((_let_90 (= (tptp.product _let_40 _let_23) (tptp.product _let_50 _let_24)))) (let ((_let_91 (= (tptp.product _let_47 _let_66) (tptp.product _let_66 (tptp.product _let_45 _let_46))))) (let ((_let_92 (= (tptp.product _let_46 _let_26) (tptp.product (tptp.product _let_23 _let_5) (tptp.product tptp.a _let_24))))) (let ((_let_93 (= (tptp.product (tptp.product _let_23 _let_45) _let_53) (tptp.product _let_56 _let_68)))) (let ((_let_94 (= (tptp.product _let_63 _let_60) (tptp.product _let_87 (tptp.product tptp.c _let_56))))) (let ((_let_95 (tptp.product _let_5 _let_73))) (let ((_let_96 (= (tptp.product _let_43 _let_74) (tptp.product _let_37 _let_95)))) (let ((_let_97 (tptp.product _let_23 _let_73))) (let ((_let_98 (= (tptp.product _let_4 _let_24) _let_97))) (let ((_let_99 (= _let_95 (tptp.difference _let_23 (tptp.product _let_23 _let_95))))) (let ((_let_100 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_73))) (let ((_let_101 (= (tptp.product _let_32 _let_97) (tptp.product (tptp.product _let_5 _let_23) _let_100)))) (let ((_let_102 (= (tptp.product _let_34 _let_95) (tptp.product _let_82 _let_100)))) (let ((_let_103 (ASSUME :args (_let_7)))) (let ((_let_104 (not _let_17))) (let ((_let_105 (_let_2))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (_let_8))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 ((tptp.bigC A B C)))) (let ((_let_110 (_let_11))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (forall ((A $$unsorted)) (= A (tptp.product A A))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 ((tptp.product (tptp.product A B) (tptp.product C D))))) (let ((_let_116 (forall ((B $$unsorted) (A $$unsorted)) (= A (tptp.product (tptp.quotient A B) B))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (forall ((B $$unsorted) (A $$unsorted)) (= B (tptp.product (tptp.product (tptp.product A B) B) (tptp.product B (tptp.product B A))))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 (forall ((B $$unsorted) (A $$unsorted)) (= B (tptp.difference A (tptp.product A B)))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 (forall ((B $$unsorted) (A $$unsorted)) (= A (tptp.quotient (tptp.product A B) B))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 (and _let_7 _let_19 _let_22 _let_27 _let_28 _let_29 _let_31 _let_33 _let_35 _let_38 _let_41 _let_44 _let_48 _let_49 _let_52 _let_54 _let_55 _let_58 _let_59 _let_61 _let_65 _let_67 _let_69 _let_70 _let_71 _let_72 _let_75 _let_77 _let_79 _let_81 _let_83 _let_84 _let_85 _let_86 _let_88 _let_89 _let_90 _let_91 _let_92 _let_93 _let_94 _let_96 _let_98 _let_99 _let_101 _let_102))) (let ((_let_128 (ASSUME :args (_let_22)))) (let ((_let_129 (ASSUME :args (_let_35)))) (let ((_let_130 (APPLY_UF tptp.product))) (let ((_let_131 (ASSUME :args (_let_29)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (ASSUME :args (_let_65)))) (let ((_let_135 (TRANS (SYMM _let_134) _let_133))) (let ((_let_136 (REFL :args (_let_34)))) (let ((_let_137 (ASSUME :args (_let_49)))) (let ((_let_138 (ASSUME :args (_let_28)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (CONG _let_132 _let_139 :args _let_130))) (let ((_let_141 (ASSUME :args (_let_38)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (TRANS _let_142 _let_140))) (let ((_let_144 (ASSUME :args (_let_59)))) (let ((_let_145 (REFL :args (_let_23)))) (let ((_let_146 (CONG _let_145 _let_132 :args _let_130))) (let ((_let_147 (ASSUME :args (_let_44)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (REFL :args (_let_5)))) (let ((_let_151 (CONG _let_135 _let_150 :args _let_130))) (let ((_let_152 (ASSUME :args (_let_70)))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (ASSUME :args (_let_84)))) (let ((_let_155 (REFL :args (_let_56)))) (let ((_let_156 (REFL :args (_let_63)))) (let ((_let_157 (ASSUME :args (_let_86)))) (let ((_let_158 (REFL :args (_let_24)))) (let ((_let_159 (ASSUME :args (_let_41)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (CONG (TRANS (CONG (REFL :args (_let_39)) _let_139 :args _let_130) _let_160) _let_158 :args _let_130))) (let ((_let_162 (TRANS _let_161 (CONG _let_150 _let_139 :args _let_130)))) (let ((_let_163 (SYMM _let_161))) (let ((_let_164 (ASSUME :args (_let_27)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (TRANS (CONG _let_138 _let_145 :args _let_130) _let_165 _let_163))) (let ((_let_167 (ASSUME :args (_let_88)))) (let ((_let_168 (CONG (TRANS (SYMM (SYMM _let_167)) (TRANS (CONG (TRANS _let_166 _let_162) _let_145 :args _let_130) (SYMM _let_157) (CONG _let_156 _let_139 :args _let_130))) (TRANS (CONG _let_133 _let_155 :args _let_130) (SYMM _let_154) (CONG (REFL :args (_let_62)) _let_132 :args _let_130)) :args _let_130))) (let ((_let_169 (ASSUME :args (_let_94)))) (let ((_let_170 (SYMM (SYMM _let_169)))) (let ((_let_171 (ASSUME :args (_let_61)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (CONG (SYMM _let_143) _let_150 :args _let_130))) (let ((_let_175 (ASSUME :args (_let_31)))) (let ((_let_176 (TRANS (SYMM _let_175) (CONG _let_139 _let_132 :args _let_130)))) (let ((_let_177 (CONG _let_145 _let_176 :args _let_130))) (let ((_let_178 (ASSUME :args (_let_83)))) (let ((_let_179 (TRANS (SYMM _let_146) _let_148 (CONG _let_132 _let_150 :args _let_130)))) (let ((_let_180 (CONG _let_179 (REFL :args (_let_45)) :args _let_130))) (let ((_let_181 (ASSUME :args (_let_69)))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (ASSUME :args (_let_93)))) (let ((_let_184 (ASSUME :args (_let_58)))) (let ((_let_185 (ASSUME :args (_let_71)))) (let ((_let_186 (ASSUME :args (_let_48)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (ASSUME :args (_let_92)))) (let ((_let_190 (ASSUME :args (_let_79)))) (let ((_let_191 (SYMM _let_166))) (let ((_let_192 (ASSUME :args (_let_85)))) (let ((_let_193 (ASSUME :args (_let_67)))) (let ((_let_194 (ASSUME :args (_let_91)))) (let ((_let_195 (ASSUME :args (_let_54)))) (let ((_let_196 (CONG _let_156 (TRANS _let_161 (CONG _let_150 (TRANS _let_139 _let_188) :args _let_130) (SYMM (SYMM _let_195)) (CONG (TRANS (CONG _let_188 _let_193 :args _let_130) (SYMM (SYMM _let_194)) (CONG (SYMM _let_193) (TRANS (CONG (CONG _let_138 _let_150 :args _let_130) (CONG _let_145 _let_138 :args _let_130) :args _let_130) (SYMM _let_192) (CONG (TRANS _let_165 _let_163) _let_163 :args _let_130) (CONG _let_191 _let_191 :args _let_130) (SYMM _let_190) (CONG _let_158 _let_143 :args _let_130) _let_165 _let_163) :args _let_130) (CONG (REFL :args (_let_46)) _let_161 :args _let_130) (SYMM (SYMM _let_189)) (CONG (TRANS (TRANS _let_174 _let_173) (TRANS _let_172 (SYMM _let_174) (SYMM _let_177) _let_178 (SYMM _let_180))) (TRANS (CONG (REFL :args (tptp.a)) _let_139 :args _let_130) _let_139 _let_188) :args _let_130) (SYMM _let_185) (CONG (TRANS (SYMM _let_184) (CONG _let_143 _let_145 :args _let_130) _let_142 _let_140) _let_182 :args _let_130)) (REFL :args (_let_53)) :args _let_130) (SYMM (SYMM _let_183)) (CONG _let_155 _let_182 :args _let_130) _let_180 (SYMM _let_178) _let_177 _let_174 _let_173) :args _let_130))) (let ((_let_197 (CONG _let_156 (SYMM _let_162) :args _let_130))) (let ((_let_198 (ASSUME :args (_let_81)))) (let ((_let_199 (SYMM (SYMM _let_198)))) (let ((_let_200 (CONG (SYMM _let_176) _let_145 :args _let_130))) (let ((_let_201 (ASSUME :args (_let_90)))) (let ((_let_202 (ASSUME :args (_let_72)))) (let ((_let_203 (REFL :args (_let_3)))) (let ((_let_204 (ASSUME :args (_let_52)))) (let ((_let_205 (REFL :args (_let_4)))) (let ((_let_206 (SYMM _let_103))) (let ((_let_207 (ASSUME :args (_let_77)))) (let ((_let_208 (ASSUME :args (_let_89)))) (let ((_let_209 (ASSUME :args (_let_75)))) (let ((_let_210 (ASSUME :args (_let_96)))) (let ((_let_211 (ASSUME :args (_let_99)))) (let ((_let_212 (ASSUME :args (_let_102)))) (let ((_let_213 (ASSUME :args (_let_101)))) (let ((_let_214 (ASSUME :args (_let_98)))) (let ((_let_215 (CONG _let_205 _let_187 :args _let_130))) (let ((_let_216 (ASSUME :args (_let_55)))) (let ((_let_217 (REFL :args (_let_32)))) (let ((_let_218 (ASSUME :args (_let_33)))) (let ((_let_219 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_129 _let_131 _let_134 _let_137 _let_138 _let_141 _let_144 _let_147 _let_152 _let_157 _let_159 _let_164 _let_167 _let_154 _let_169 _let_171 _let_175 _let_178 _let_181 _let_183 _let_184 _let_185 _let_186 _let_189 _let_193 _let_190 _let_192 _let_194 _let_195 _let_198 _let_201 _let_202 _let_204 _let_103 _let_207 _let_208 _let_209 _let_210 _let_211 _let_212 _let_213 _let_214 _let_216 _let_218 _let_219) (SCOPE (TRANS (SYMM (SYMM _let_219)) (CONG _let_206 (REFL :args (_let_18)) :args _let_130) (SYMM (SYMM _let_218)) (CONG _let_217 (TRANS (SYMM _let_215) _let_216) :args _let_130) (CONG _let_217 (TRANS (SYMM _let_216) _let_215 (CONG _let_205 _let_138 :args _let_130) (SYMM (SYMM _let_214))) :args _let_130) (SYMM (SYMM _let_213)) (CONG (TRANS (TRANS _let_200 _let_199 _let_197 _let_196 _let_170 _let_168 _let_153 _let_151 _let_149 _let_146) _let_179) (REFL :args (_let_100)) :args _let_130) (SYMM _let_212) (CONG _let_136 (TRANS (SYMM (SYMM _let_211)) (CONG _let_145 (TRANS (CONG (SYMM _let_140) (REFL :args (_let_95)) :args _let_130) (SYMM _let_210) (CONG (TRANS _let_149 _let_146) (TRANS (SYMM _let_209) (CONG _let_203 _let_139 :args _let_130) (CONG (TRANS (SYMM (SYMM _let_208)) (CONG (TRANS (SYMM _let_207) (TRANS _let_206 (CONG _let_159 _let_205 :args _let_130) (SYMM (SYMM _let_204)))) _let_203 :args (APPLY_UF tptp.quotient)) (SYMM _let_202)) _let_138 :args _let_130) (SYMM _let_201) (CONG _let_160 _let_145 :args _let_130) _let_200 _let_199 _let_197 _let_196 _let_170 _let_168 _let_153 _let_151 _let_149 _let_146) :args _let_130) (SYMM _let_144) (CONG _let_143 (REFL :args (_let_20)) :args _let_130)) :args (APPLY_UF tptp.difference)) (SYMM _let_137) _let_132 _let_134) :args _let_130) (CONG _let_136 _let_135 :args _let_130) (SYMM _let_129) (SYMM _let_128)) :args (_let_22 _let_35 _let_29 _let_65 _let_49 _let_28 _let_38 _let_59 _let_44 _let_70 _let_86 _let_41 _let_27 _let_88 _let_84 _let_94 _let_61 _let_31 _let_83 _let_69 _let_93 _let_58 _let_71 _let_48 _let_92 _let_67 _let_79 _let_85 _let_91 _let_54 _let_81 _let_90 _let_72 _let_52 _let_7 _let_77 _let_89 _let_75 _let_96 _let_99 _let_102 _let_101 _let_98 _let_55 _let_33 _let_19))) :args (_let_7 _let_19 _let_22 _let_27 _let_28 _let_29 _let_31 _let_33 _let_35 _let_38 _let_41 _let_44 _let_48 _let_49 _let_52 _let_54 _let_55 _let_58 _let_59 _let_61 _let_65 _let_67 _let_69 _let_70 _let_71 _let_72 _let_75 _let_77 _let_79 _let_81 _let_83 _let_84 _let_85 _let_86 _let_88 _let_89 _let_90 _let_91 _let_92 _let_93 _let_94 _let_96 _let_98 _let_99 _let_101 _let_102))) :args (true _let_127)) :args ((or (not _let_7) _let_17 (not _let_19) (not _let_22) (not _let_27) (not _let_28) (not _let_29) (not _let_31) (not _let_33) (not _let_35) (not _let_38) (not _let_41) (not _let_44) (not _let_48) (not _let_49) (not _let_52) (not _let_54) (not _let_55) (not _let_58) (not _let_59) (not _let_61) (not _let_65) (not _let_67) (not _let_69) (not _let_70) (not _let_71) (not _let_72) (not _let_75) (not _let_77) (not _let_79) (not _let_81) (not _let_83) (not _let_84) (not _let_85) (not _let_86) (not _let_88) (not _let_89) (not _let_90) (not _let_91) (not _let_92) (not _let_93) (not _let_94) (not _let_96) (not _let_98) (not _let_99) (not _let_101) (not _let_102)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_73 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.c QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_102 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_73 _let_23 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(_let_88 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a tptp.a tptp.c _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_86 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_24 _let_5 _let_23 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_85 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.c tptp.c _let_23 tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_84 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_5 _let_5 tptp.a tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_83 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a tptp.c _let_5 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_81 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_23 _let_23 tptp.a tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_79 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_3 QUANTIFIERS_INST_ENUM)) :args _let_114)) _let_113 :args (_let_77 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a tptp.a tptp.b tptp.a QUANTIFIERS_INST_ENUM)) :args _let_110)) _let_111 :args (_let_75 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_3 _let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.product A B)))) :args _let_126)) _let_125 :args (_let_72 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_45 _let_45 _let_46 _let_56 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_71 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.c tptp.a _let_62 _let_63 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_70 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_114)) _let_113 :args (_let_69 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_114)) _let_113 :args (_let_67 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.c tptp.a QUANTIFIERS_INST_ENUM)) :args _let_120)) _let_119 :args (_let_65 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.c tptp.a _let_23 _let_23 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_61 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.c tptp.c _let_23 _let_23 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_59 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a tptp.c _let_23 _let_23 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_58 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_45 _let_46 tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_55 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_45 _let_46 tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_54 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.b tptp.c tptp.a _let_39 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_52 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_20 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.product A B)))) :args _let_123)) _let_122 :args (_let_49 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.a tptp.c QUANTIFIERS_INST_ENUM)) :args _let_120)) _let_119 :args (_let_48 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.c tptp.a tptp.c tptp.c QUANTIFIERS_INST_ENUM)) :args _let_110)) _let_111 :args (_let_44 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.a _let_5 QUANTIFIERS_INST_ENUM)) :args (_let_116))) _let_117 :args (_let_41 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a tptp.a tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_38 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_35 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 _let_5 QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_33 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.c tptp.c tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_110)) _let_111 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_114)) _let_113 :args (_let_29 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_114)) _let_113 :args (_let_28 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a tptp.a tptp.c tptp.a QUANTIFIERS_INST_ENUM)) :args _let_110)) _let_111 :args (_let_27 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_107)) _let_108 :args (_let_22 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_107)) _let_108 :args (_let_19 false _let_8)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_106) :args _let_105)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_104)) :args (or))) _let_106 :args (_let_104 true _let_1)) _let_103 :args (false false _let_102 false _let_101 false _let_99 false _let_98 false _let_96 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_86 false _let_85 false _let_84 false _let_83 false _let_81 false _let_79 false _let_77 false _let_75 false _let_72 false _let_71 false _let_70 false _let_69 false _let_67 false _let_65 false _let_61 false _let_59 false _let_58 false _let_55 false _let_54 false _let_52 false _let_49 false _let_48 false _let_44 false _let_41 false _let_38 false _let_35 false _let_33 false _let_31 false _let_29 false _let_28 false _let_27 false _let_22 false _let_19 true _let_17 false _let_7)) :args (_let_14 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.product A (tptp.difference A B)) B)) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 63.71/53.87 )
% 63.71/53.87 % SZS output end Proof for GRP777+1
% 63.71/53.87 % cvc5---1.0.5 exiting
% 63.71/53.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------