TSTP Solution File: GRP776+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP776+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 : Theorem 0.53s 0.76s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP776+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 20:08:28 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.53/0.76 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Xd925szGf9/cvc5---1.0.5_11248.p...
% 0.53/0.76 ------- get file name : TPTP file name is GRP776+1
% 0.53/0.76 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11248.smt2...
% 0.53/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/0.76 % SZS status Theorem for GRP776+1
% 0.53/0.76 % SZS output start Proof for GRP776+1
% 0.53/0.76 (
% 0.53/0.76 (let ((_let_1 (not (forall ((X0 $$unsorted)) (and (= (tptp.f tptp.eh) tptp.eg) (or (not (tptp.g X0)) (= (tptp.f (tptp.inv X0)) (tptp.opp (tptp.f X0))))))))) (let ((_let_2 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.f (tptp.product A B)) (tptp.sum (tptp.f A) (tptp.f B)))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.g A) (tptp.h (tptp.f A)))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.h A) (= (tptp.sum (tptp.opp A) A) tptp.eg))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.h A) (= (tptp.sum A (tptp.opp A)) tptp.eg))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.h A) (= (tptp.sum A tptp.eg) A))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.h A) (= (tptp.sum tptp.eg A) A))))) (let ((_let_8 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (and (tptp.h A) (tptp.h B) (tptp.h C)) (= (tptp.sum (tptp.sum A B) C) (tptp.sum A (tptp.sum B C))))))) (let ((_let_9 (forall ((B $$unsorted) (A $$unsorted)) (=> (tptp.h A) (tptp.h (tptp.opp B)))))) (let ((_let_10 (forall ((B $$unsorted) (A $$unsorted)) (=> (and (tptp.h A) (tptp.h B)) (tptp.h (tptp.sum A B)))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.g A) (= (tptp.product (tptp.inv A) A) tptp.eh))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (tptp.g A) (= (tptp.product A (tptp.inv A)) tptp.eh))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.g A) (= (tptp.product A tptp.eh) A))))) (let ((_let_14 (forall ((A $$unsorted)) (=> (tptp.g A) (= (tptp.product tptp.eh A) A))))) (let ((_let_15 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (and (tptp.g A) (tptp.g B) (tptp.g C)) (= (tptp.product (tptp.product A B) C) (tptp.product A (tptp.product B C))))))) (let ((_let_16 (tptp.g tptp.eh))) (let ((_let_17 (forall ((A $$unsorted)) (=> (tptp.g A) (tptp.g (tptp.inv A)))))) (let ((_let_18 (tptp.inv tptp.eh))) (let ((_let_19 (tptp.product tptp.eh _let_18))) (let ((_let_20 (= tptp.eh _let_19))) (let ((_let_21 (tptp.inv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (tptp.f _let_21))) (let ((_let_23 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_25 (= (tptp.f _let_24) (tptp.sum _let_23 _let_22)))) (let ((_let_26 (= _let_18 _let_19))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.product tptp.eh SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_28 (= tptp.eh _let_24))) (let ((_let_29 (tptp.product _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (= tptp.eh _let_29))) (let ((_let_31 (= _let_21 (tptp.product tptp.eh _let_21)))) (let ((_let_32 (tptp.inv _let_21))) (let ((_let_33 (tptp.product _let_32 _let_21))) (let ((_let_34 (= tptp.eh _let_33))) (let ((_let_35 (= _let_22 (tptp.sum _let_22 tptp.eg)))) (let ((_let_36 (tptp.opp _let_22))) (let ((_let_37 (tptp.sum _let_22 _let_36))) (let ((_let_38 (= tptp.eg _let_37))) (let ((_let_39 (= (tptp.product _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.product _let_32 _let_29)))) (let ((_let_40 (tptp.product _let_21 _let_21))) (let ((_let_41 (tptp.product _let_32 _let_40))) (let ((_let_42 (= (tptp.product _let_33 _let_21) _let_41))) (let ((_let_43 (tptp.f _let_40))) (let ((_let_44 (tptp.sum _let_22 _let_22))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (tptp.f _let_32))) (let ((_let_47 (= (tptp.f _let_41) (tptp.sum _let_46 _let_43)))) (let ((_let_48 (= _let_32 (tptp.product tptp.eh _let_32)))) (let ((_let_49 (= _let_32 (tptp.product _let_32 tptp.eh)))) (let ((_let_50 (tptp.sum _let_44 _let_36))) (let ((_let_51 (= _let_50 (tptp.sum _let_22 _let_37)))) (let ((_let_52 (tptp.f tptp.eh))) (let ((_let_53 (= tptp.eg _let_52))) (let ((_let_54 (= (tptp.sum (tptp.sum _let_23 _let_44) _let_36) (tptp.sum _let_23 _let_50)))) (let ((_let_55 (not _let_16))) (let ((_let_56 (or _let_55 _let_20))) (let ((_let_57 (forall ((A $$unsorted)) (or (not (tptp.g A)) (= tptp.eh (tptp.product A (tptp.inv A))))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 ((not (= (tptp.g A) false))))) (let ((_let_61 (ASSUME :args (_let_16)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_20 (not _let_56)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.eh QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) _let_58 :args (_let_56 false _let_57)) :args (_let_20 false _let_16 false _let_56)))) (let ((_let_63 (_let_2))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.product A B)))) (let ((_let_66 (tptp.g _let_18))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_26))) (let ((_let_69 (forall ((A $$unsorted)) (or (not (tptp.g A)) (= A (tptp.product tptp.eh A)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (or _let_55 _let_66))) (let ((_let_73 (forall ((A $$unsorted)) (or (not (tptp.g A)) (tptp.g (tptp.inv A)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.inv A)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_26 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_55 _let_66 (not _let_72)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.eh QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_66 false _let_16 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.product tptp.eh A)))) :args _let_71)) _let_70 :args (_let_68 false _let_69)) :args (_let_26 false _let_66 false _let_68)))) (let ((_let_78 (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_27))) (let ((_let_81 ((not (= (tptp.g A) false))))) (let ((_let_82 (tptp.opp _let_23))) (let ((_let_83 (= _let_22 _let_82))) (let ((_let_84 (or _let_79 _let_83))) (let ((_let_85 (forall ((BOUND_VARIABLE_850 $$unsorted)) (or (not (tptp.g BOUND_VARIABLE_850)) (= (tptp.f (tptp.inv BOUND_VARIABLE_850)) (tptp.opp (tptp.f BOUND_VARIABLE_850))))))) (let ((_let_86 (not _let_84))) (let ((_let_87 (tptp.opp _let_52))) (let ((_let_88 (= _let_87 (tptp.f _let_18)))) (let ((_let_89 (or _let_55 _let_88))) (let ((_let_90 (tptp.product tptp.eh tptp.eh))) (let ((_let_91 (= tptp.eh _let_90))) (let ((_let_92 (= (tptp.f _let_90) (tptp.sum _let_52 _let_52)))) (let ((_let_93 (= tptp.eg (tptp.sum _let_52 _let_87)))) (let ((_let_94 (not _let_85))) (let ((_let_95 (_let_85))) (let ((_let_96 (or _let_55 _let_91))) (let ((_let_97 (tptp.h _let_52))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_93))) (let ((_let_100 (forall ((A $$unsorted)) (or (not (tptp.h A)) (= tptp.eg (tptp.sum A (tptp.opp A))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 ((not (= (tptp.h A) false))))) (let ((_let_104 (or _let_55 _let_97))) (let ((_let_105 (forall ((A $$unsorted)) (or (not (tptp.g A)) (tptp.h (tptp.f A)))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 ((not (= (tptp.g A) false))))) (let ((_let_109 (not _let_26))) (let ((_let_110 (not _let_20))) (let ((_let_111 (and _let_91 _let_20 _let_26 _let_93 _let_92 _let_88))) (let ((_let_112 (APPLY_UF tptp.f))) (let ((_let_113 (ASSUME :args (_let_91)))) (let ((_let_114 (ASSUME :args (_let_92)))) (let ((_let_115 (APPLY_UF tptp.sum))) (let ((_let_116 (ASSUME :args (_let_20)))) (let ((_let_117 (ASSUME :args (_let_26)))) (let ((_let_118 (TRANS (SYMM (SYMM _let_117)) (SYMM _let_116)))) (let ((_let_119 (ASSUME :args (_let_88)))) (let ((_let_120 (ASSUME :args (_let_93)))) (let ((_let_121 (or))) (let ((_let_122 (_let_94))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_122)) :args _let_122)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_85))) (REFL :args (_let_86)) :args _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_114 _let_116 _let_117 _let_119 _let_120) (SCOPE (TRANS (SYMM (SYMM _let_120)) (CONG (REFL :args (_let_52)) (TRANS (SYMM (SYMM _let_119)) (CONG _let_118 :args _let_112)) :args _let_115) (SYMM _let_114) (CONG (SYMM _let_113) :args _let_112)) :args (_let_91 _let_92 _let_20 _let_26 _let_88 _let_93))) :args (_let_91 _let_20 _let_26 _let_93 _let_92 _let_88))) :args (true _let_111)) :args ((or _let_53 (not _let_91) _let_110 _let_109 (not _let_93) (not _let_92) (not _let_88)))) _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_93 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_55 _let_97 (not _let_104)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.eh QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_104 false _let_105)) :args (_let_97 false _let_16 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_102)) _let_101 :args (_let_99 false _let_100)) :args (_let_93 false _let_97 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.eh tptp.eh QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_92 false _let_2)) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_55 _let_91 (not _let_96)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.eh QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_71)) _let_70 :args (_let_96 false _let_69)) :args (_let_91 false _let_16 false _let_96)) (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_55 _let_88 (not _let_89)))) _let_61 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (tptp.eh QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.g BOUND_VARIABLE_850) false))))) :args _let_95))) (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) :args (_let_94 false _let_26 false _let_93 false _let_92 false _let_20 false _let_91 false _let_88 false _let_16 false _let_89 true _let_53)) :args (_let_86 true _let_85)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 0)) (CONG (REFL :args (_let_84)) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_121)) :args ((or _let_78 _let_84))) _let_123 :args (_let_78 true _let_84)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_27 (not _let_80)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_71)) _let_70 :args (_let_80 false _let_69)) :args (_let_27 false _let_78 false _let_80)))) (let ((_let_126 (or _let_79 _let_28))) (let ((_let_127 (or _let_79 _let_30))) (let ((_let_128 (forall ((A $$unsorted)) (or (not (tptp.g A)) (= tptp.eh (tptp.product (tptp.inv A) A)))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (_let_128))) (let ((_let_131 ((not (= (tptp.g A) false))))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_79 _let_30 (not _let_127)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_127 false _let_128)) :args (_let_30 false _let_78 false _let_127)))) (let ((_let_133 (tptp.g _let_21))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_31))) (let ((_let_136 (or _let_79 _let_133))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_79 _let_133 (not _let_136)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_136 false _let_73)) :args (_let_133 false _let_78 false _let_136)))) (let ((_let_138 (or _let_134 _let_34))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_134 _let_34 (not _let_138)))) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_138 false _let_128)) :args (_let_34 false _let_133 false _let_138)))) (let ((_let_140 (tptp.h _let_22))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_35))) (let ((_let_143 (forall ((A $$unsorted)) (or (not (tptp.h A)) (= A (tptp.sum A tptp.eg)))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (_let_143))) (let ((_let_146 ((not (= (tptp.h A) false))))) (let ((_let_147 (or _let_134 _let_140))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_134 _let_140 (not _let_147)))) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f A)))) :args _let_107)) _let_106 :args (_let_147 false _let_105)) :args (_let_140 false _let_133 false _let_147)))) (let ((_let_149 (or _let_141 _let_38))) (let ((_let_150 (tptp.g _let_32))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_151 _let_134 _let_79 _let_39))) (let ((_let_153 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (or (not (tptp.g A)) (not (tptp.g B)) (not (tptp.g C)) (= (tptp.product (tptp.product A B) C) (tptp.product A (tptp.product B C))))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (_let_153))) (let ((_let_156 ((tptp.product (tptp.product A B) C)))) (let ((_let_157 (or _let_134 _let_150))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_134 _let_150 (not _let_157)))) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_157 false _let_73)) :args (_let_150 false _let_133 false _let_157)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_79 _let_134 _let_151 _let_39 (not _let_152)))) _let_124 _let_137 _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21 _let_32 QUANTIFIERS_INST_E_MATCHING _let_156)) :args _let_155)) _let_154 :args (_let_152 false _let_153)) :args (_let_39 false _let_78 false _let_133 false _let_150 false _let_152)))) (let ((_let_160 (or _let_151 _let_134 _let_134 _let_42))) (let ((_let_161 (or _let_151 _let_48))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_151 _let_48 (not _let_161)))) _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_71)) _let_70 :args (_let_161 false _let_69)) :args (_let_48 false _let_150 false 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_let_27 _let_20 _let_30 _let_187 _let_26 _let_186 _let_34 _let_185 _let_39 _let_184 _let_48 _let_49 _let_183))) :args (true _let_213)) :args ((or _let_188 _let_83 _let_212 _let_110 _let_211 (not _let_187) _let_109 (not _let_186) _let_210 (not _let_185) _let_209 (not _let_184) _let_208 _let_207 (not _let_183)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_84 1)) _let_123 :args ((not _let_83) true _let_84)) _let_125 _let_62 _let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_202)) :args ((or _let_201 _let_187 (not _let_202)))) _let_206 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.opp A)))) :args (_let_203))) _let_204 :args (_let_202 false _let_203)) :args (_let_187 false _let_200 false _let_202)) _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_192 _let_186 (not _let_199)))) _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 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_let_151 _let_189 (not _let_194)))) _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_194 false _let_105)) :args (_let_189 false _let_150 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_22 _let_46 _let_82 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_172)) _let_171 :args (_let_193 false _let_170)) :args (_let_183 false _let_140 false _let_191 false _let_189 false _let_193)) :args (_let_188 true _let_83 false _let_27 false _let_20 false _let_30 false _let_187 false _let_26 false _let_186 false _let_34 false _let_185 false _let_39 false _let_184 false _let_48 false _let_49 false _let_183)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_169))) :args ((or _let_141 _let_168 _let_51 (not _let_169)))) _let_148 _let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_36 _let_22 _let_22 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_172)) _let_171 :args (_let_169 false _let_170)) :args (_let_51 false _let_140 false _let_167 false _let_169)) _let_166 _let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_40 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_47 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_21 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63))) _let_64 :args (_let_45 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_160))) :args ((or _let_134 _let_151 _let_42 (not _let_160)))) _let_137 _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_21 _let_21 _let_32 QUANTIFIERS_INST_E_MATCHING _let_156)) :args _let_155)) _let_154 :args (_let_160 false _let_153)) :args (_let_42 false _let_133 false _let_150 false _let_160)) _let_159 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_141 _let_38 (not _let_149)))) _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_102)) _let_101 :args (_let_149 false _let_100)) :args (_let_38 false _let_140 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_141 _let_35 (not _let_142)))) _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_142 false _let_143)) :args (_let_35 false _let_140 false _let_142)) _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_134 _let_31 (not _let_135)))) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_71)) _let_70 :args (_let_135 false _let_69)) :args (_let_31 false _let_133 false _let_135)) _let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_79 _let_28 (not _let_126)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_59)) _let_58 :args (_let_126 false _let_57)) :args (_let_28 false _let_78 false _let_126)) _let_125 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_25 false _let_2)) _let_62 :args (false false _let_54 true _let_53 false _let_51 false _let_49 false _let_48 false _let_47 false _let_45 false _let_42 false _let_39 false _let_38 false _let_35 false _let_34 false _let_31 false _let_30 false _let_28 false _let_27 false _let_26 false _let_25 false _let_20)) :args ((forall ((B $$unsorted) (A $$unsorted)) (=> (and (tptp.g A) (tptp.g B)) (tptp.g (tptp.product A B)))) _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 (tptp.h tptp.eg) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.53/0.76 )
% 0.53/0.76 % SZS output end Proof for GRP776+1
% 0.53/0.76 % cvc5---1.0.5 exiting
% 0.53/0.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------