TSTP Solution File: ALG210+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG210+2 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:08:39 EDT 2023
% Result : Theorem 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ALG210+2 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 05:25:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.NFtzw7kWsI/cvc5---1.0.5_27960.p...
% 0.21/0.57 ------- get file name : TPTP file name is ALG210+2
% 0.21/0.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27960.smt2...
% 0.21/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Theorem for ALG210+2
% 0.21/0.57 % SZS output start Proof for ALG210+2
% 0.21/0.57 (
% 0.21/0.57 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.element A) (tptp.element B) (= C (tptp.times A B))) (tptp.element C)))))) (let ((_let_2 (forall ((B $$unsorted)) (= (tptp.element B) (exists ((C $$unsorted)) (and (= (tptp.times B C) B) (= (tptp.times B B) C))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.times (tptp.times A B) C) (tptp.times B (tptp.times C A)))))) (let ((_let_4 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_7 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_10 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.times _let_10 _let_10))) (let ((_let_12 (tptp.times _let_10 _let_11))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.times _let_4 _let_14))) (let ((_let_16 (= (tptp.times _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_15))) (let ((_let_17 (tptp.times _let_4 _let_4))) (let ((_let_18 (= (tptp.times _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_17))) (let ((_let_19 (tptp.times _let_7 _let_7))) (let ((_let_20 (= (tptp.times _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_19))) (let ((_let_21 (tptp.times _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (= (tptp.times _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8)))) (let ((_let_23 (tptp.times _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_5 _let_23))) (let ((_let_25 (tptp.times _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (= _let_8 _let_25))) (let ((_let_27 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_28 (tptp.times _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (= _let_11 _let_28))) (let ((_let_30 (= _let_12 (tptp.times _let_11 _let_10)))) (let ((_let_31 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_32 (= (tptp.times _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31)))) (let ((_let_33 (tptp.times _let_10 _let_27))) (let ((_let_34 (= (tptp.times _let_28 _let_10) (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_33)))) (let ((_let_35 (tptp.times _let_10 _let_4))) (let ((_let_36 (= _let_35 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23)))) (let ((_let_37 (= (tptp.times _let_31 _let_4) (tptp.times _let_7 _let_23)))) (let ((_let_38 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_39 (tptp.times _let_38 _let_7))) (let ((_let_40 (= _let_39 (tptp.times _let_21 _let_25)))) (let ((_let_41 (= _let_15 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.times _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_42 (= (tptp.times _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.times _let_7 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38))))) (let ((_let_43 (= _let_21 _let_27))) (let ((_let_44 (tptp.times _let_21 _let_38))) (let ((_let_45 (= (tptp.times _let_39 _let_21) (tptp.times _let_7 _let_44)))) (let ((_let_46 (= (tptp.times _let_35 _let_4) (tptp.times _let_4 (tptp.times _let_4 _let_10))))) (let ((_let_47 (= (tptp.times _let_23 _let_10) (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_35)))) (let ((_let_48 (tptp.times _let_21 _let_7))) (let ((_let_49 (= (tptp.times _let_25 _let_21) (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_48)))) (let ((_let_50 (= (tptp.times _let_17 _let_10) (tptp.times _let_4 _let_35)))) (let ((_let_51 (= _let_48 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19)))) (let ((_let_52 (= (tptp.times _let_15 _let_4) (tptp.times _let_14 _let_17)))) (let ((_let_53 (= _let_44 (tptp.times SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39)))) (let ((_let_54 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (= _let_54 _let_6))) (let ((_let_56 (forall ((B $$unsorted)) (= (tptp.element B) (= B (tptp.times B (tptp.times B B))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((tptp.element B)))) (let ((_let_60 (tptp.element _let_10))) (let ((_let_61 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_54))) (let ((_let_64 (or _let_63 _let_62 _let_60))) (let ((_let_65 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A)) (not (tptp.element B)) (tptp.element (tptp.times A B)))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or))) (let ((_let_69 (not _let_65))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_67) :args (_let_69))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_65))) (REFL :args (_let_66)) :args _let_68)) _let_67 :args (_let_66 true _let_65)))) (let ((_let_71 (REFL :args (_let_64)))) (let ((_let_72 (= _let_61 _let_9))) (let ((_let_73 (= _let_60 _let_13))) (let ((_let_74 (not _let_13))) (let ((_let_75 (_let_3))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((tptp.times (tptp.times A B) C)))) (let ((_let_78 ((tptp.times B (tptp.times C A))))) (let ((_let_79 (and _let_6 _let_9 _let_16 _let_18 _let_20 _let_22 _let_24 _let_26 _let_29 _let_30 _let_32 _let_34 _let_36 _let_37 _let_40 _let_41 _let_42 _let_43 _let_45 _let_46 _let_47 _let_49 _let_50 _let_51 _let_52 _let_53))) (let ((_let_80 (ASSUME :args (_let_30)))) (let ((_let_81 (APPLY_UF tptp.times))) (let ((_let_82 (REFL :args (_let_10)))) (let ((_let_83 (ASSUME :args (_let_29)))) (let ((_let_84 (ASSUME :args (_let_34)))) (let ((_let_85 (ASSUME :args (_let_6)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (ASSUME :args (_let_24)))) (let ((_let_88 (TRANS (SYMM _let_87) _let_86))) (let ((_let_89 (ASSUME :args (_let_43)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (REFL :args (_let_7)))) (let ((_let_92 (CONG _let_91 _let_88 :args _let_81))) (let ((_let_93 (ASSUME :args (_let_37)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (REFL :args (_let_21)))) (let ((_let_96 (ASSUME :args (_let_9)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_99 (ASSUME :args (_let_22)))) (let ((_let_100 (ASSUME :args (_let_26)))) (let ((_let_101 (TRANS (SYMM _let_100) _let_97))) (let ((_let_102 (ASSUME :args (_let_40)))) (let ((_let_103 (TRANS (SYMM (SYMM _let_102)) (CONG _let_95 _let_101 :args _let_81) (SYMM (SYMM _let_99)) (CONG _let_98 _let_97 :args _let_81)))) (let ((_let_104 (ASSUME :args (_let_45)))) (let ((_let_105 (CONG _let_90 (REFL :args (_let_38)) :args _let_81))) (let ((_let_106 (ASSUME :args (_let_53)))) (let ((_let_107 (SYMM _let_103))) (let ((_let_108 (ASSUME :args (_let_47)))) (let ((_let_109 (ASSUME :args (_let_36)))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (SYMM _let_88))) (let ((_let_112 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_113 (CONG _let_112 _let_111 :args _let_81))) (let ((_let_114 (CONG _let_101 _let_98 :args _let_81))) (let ((_let_115 (ASSUME :args (_let_32)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (ASSUME :args (_let_20)))) (let ((_let_118 (ASSUME :args (_let_51)))) (let ((_let_119 (CONG _let_112 (TRANS (SYMM (SYMM _let_118)) (CONG _let_98 (TRANS (SYMM _let_117) (CONG _let_97 _let_112 :args _let_81)) :args _let_81)) :args _let_81))) (let ((_let_120 (ASSUME :args (_let_49)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (CONG (SYMM _let_101) _let_95 :args _let_81))) (let ((_let_124 (ASSUME :args (_let_42)))) (let ((_let_125 (CONG _let_86 _let_112 :args _let_81))) (let ((_let_126 (ASSUME :args (_let_16)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (TRANS _let_109 (SYMM _let_113)))) (let ((_let_129 (REFL :args (_let_4)))) (let ((_let_130 (CONG _let_129 _let_128 :args _let_81))) (let ((_let_131 (ASSUME :args (_let_50)))) (let ((_let_132 (SYMM (SYMM _let_131)))) (let ((_let_133 (ASSUME :args (_let_18)))) (let ((_let_134 (TRANS (CONG _let_85 _let_98 :args _let_81) (SYMM (SYMM _let_133))))) (let ((_let_135 (CONG _let_134 _let_82 :args _let_81))) (let ((_let_136 (ASSUME :args (_let_46)))) (let ((_let_137 (REFL :args (_let_14)))) (let ((_let_138 (ASSUME :args (_let_52)))) (let ((_let_139 (SYMM _let_125))) (let ((_let_140 (ASSUME :args (_let_41)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_83 _let_84 _let_85 _let_87 _let_89 _let_93 _let_96 _let_99 _let_100 _let_102 _let_104 _let_106 _let_108 _let_109 _let_115 _let_117 _let_118 _let_120 _let_124 _let_126 _let_131 _let_133 _let_136 _let_138 _let_140) (SCOPE (TRANS _let_139 _let_126 (SYMM (SYMM _let_140)) (CONG _let_111 (TRANS (CONG _let_137 _let_85 :args _let_81) (CONG (TRANS (TRANS (SYMM _let_114) _let_115 (SYMM _let_119) _let_121 (SYMM _let_123)) (TRANS _let_123 _let_122 _let_119 _let_116 _let_114 _let_113 _let_110 (CONG (TRANS _let_139 _let_126) _let_129 :args _let_81) (SYMM (SYMM _let_138)) (CONG _let_137 (SYMM _let_134) :args _let_81) (CONG (SYMM _let_128) _let_129 :args _let_81) (SYMM (SYMM _let_136)) (CONG _let_129 (TRANS _let_135 _let_132 _let_130 _let_127 _let_125) :args _let_81) _let_135 _let_132 _let_130 _let_127 _let_125)) _let_86 :args _let_81) (CONG _let_107 _let_98 :args _let_81) (SYMM (SYMM _let_124)) (CONG _let_91 (TRANS (CONG _let_98 (TRANS _let_123 _let_122 _let_119 _let_116 _let_114 _let_113 _let_110) :args _let_81) (SYMM _let_108) (CONG _let_88 _let_82 :args _let_81)) :args _let_81) (CONG _let_91 (TRANS (CONG _let_98 _let_107 :args _let_81) (SYMM _let_106) (SYMM _let_105)) :args _let_81) (CONG _let_91 _let_105 :args _let_81) (SYMM _let_104) (CONG _let_103 _let_95 :args _let_81) (CONG _let_82 (TRANS (SYMM _let_92) _let_94) :args _let_81) (CONG _let_82 (TRANS (SYMM _let_94) _let_92 (SYMM _let_90)) :args _let_81)) :args _let_81) (CONG _let_88 (REFL :args (_let_33)) :args _let_81) (SYMM _let_84) (CONG (SYMM _let_83) _let_82 :args _let_81) (SYMM _let_80)) :args (_let_30 _let_29 _let_34 _let_6 _let_24 _let_43 _let_37 _let_9 _let_22 _let_26 _let_40 _let_45 _let_53 _let_47 _let_36 _let_32 _let_20 _let_51 _let_49 _let_42 _let_16 _let_50 _let_18 _let_46 _let_52 _let_41))) :args (_let_6 _let_9 _let_16 _let_18 _let_20 _let_22 _let_24 _let_26 _let_29 _let_30 _let_32 _let_34 _let_36 _let_37 _let_40 _let_41 _let_42 _let_43 _let_45 _let_46 _let_47 _let_49 _let_50 _let_51 _let_52 _let_53))) :args (true _let_79)) :args ((or _let_13 (not _let_6) (not _let_9) (not _let_16) (not _let_18) (not _let_20) (not _let_22) (not _let_24) (not _let_26) (not _let_29) (not _let_30) (not _let_32) (not _let_34) (not _let_36) (not _let_37) (not _let_40) (not _let_41) (not _let_42) (not _let_43) (not _let_45) (not _let_46) (not _let_47) (not _let_49) (not _let_50) (not _let_51) (not _let_52) (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_53 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_4 _let_14 _let_4 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_52 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_51 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_4 _let_4 _let_10 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_50 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_49 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_47 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_10 _let_4 _let_4 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_46 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_38 _let_7 _let_21 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_45 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_43 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_38 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_42 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_41 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21 _let_7 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_40 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 _let_4 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_37 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_4 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_36 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_34 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_32 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_10 _let_10 _let_10 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75))) _let_76 :args (_let_30 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75))) _let_76 :args (_let_29 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75))) _let_76 :args (_let_26 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75))) _let_76 :args (_let_24 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_75)) _let_76 :args (_let_22 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_20 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_18 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_16 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_73)) :args ((or _let_60 _let_74 (not _let_73)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 2)) _let_70 :args ((not _let_60) true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_73 false _let_56)) :args (_let_74 true _let_60 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_72)) :args ((or _let_62 _let_9 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_68)) :args ((or _let_61 _let_64))) _let_70 :args (_let_61 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_72 false _let_56)) :args (_let_9 false _let_61 false _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_63 _let_6 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_54))) :args _let_68)) :args ((or _let_54 _let_64))) _let_70 :args (_let_54 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_6 false _let_54 false _let_55)) :args (false false _let_53 false _let_52 false _let_51 false _let_50 false _let_49 false _let_47 false _let_46 false _let_45 false _let_43 false _let_42 false _let_41 false _let_40 false _let_37 false _let_36 false _let_34 false _let_32 false _let_30 false _let_29 false _let_26 false _let_24 false _let_22 false _let_20 false _let_18 false _let_16 true _let_13 false _let_9 false _let_6)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for ALG210+2
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------