TSTP Solution File: NUM474+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM474+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 10:44:15 EDT 2023
% Result : Theorem 11.18s 11.42s
% Output : Proof 11.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n031.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 : Fri Aug 25 08:54:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 11.18/11.42 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Y2G3Y1wVFl/cvc5---1.0.5_26841.p...
% 11.18/11.42 ------- get file name : TPTP file name is NUM474+1
% 11.18/11.42 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26841.smt2...
% 11.18/11.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.18/11.42 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.18/11.42 % SZS status Theorem for NUM474+1
% 11.18/11.42 % SZS output start Proof for NUM474+1
% 11.18/11.42 (
% 11.18/11.42 (let ((_let_1 (tptp.sdtasdt0 tptp.xl tptp.xp))) (let ((_let_2 (not (= (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 tptp.xl tptp.xr)) (tptp.sdtpldt0 _let_1 tptp.xn))))) (let ((_let_3 (= tptp.xr (tptp.sdtmndt0 tptp.xq tptp.xp)))) (let ((_let_4 (tptp.sdtlseqdt0 tptp.xp tptp.xq))) (let ((_let_5 (tptp.sdtpldt0 tptp.xm tptp.xn))) (let ((_let_6 (tptp.sdtsldt0 _let_5 tptp.xl))) (let ((_let_7 (= tptp.xq _let_6))) (let ((_let_8 (tptp.sdtsldt0 tptp.xm tptp.xl))) (let ((_let_9 (= tptp.xp _let_8))) (let ((_let_10 (not (= tptp.xl tptp.sz00)))) (let ((_let_11 (tptp.doDivides0 tptp.xl _let_5))) (let ((_let_12 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_15 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_16 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_17 (and _let_16 _let_15 _let_14))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))))) (let ((_let_20 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))))) (let ((_let_21 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_22 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_24 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_25 (tptp.aNaturalNumber0 tptp.sz10))) (let ((_let_26 (and _let_25 (not (= tptp.sz10 tptp.sz00))))) (let ((_let_27 (tptp.sdtmndt0 _let_6 _let_8))) (let ((_let_28 (tptp.sdtasdt0 tptp.xl _let_8))) (let ((_let_29 (= (tptp.sdtpldt0 _let_28 tptp.xn) (tptp.sdtpldt0 _let_28 (tptp.sdtasdt0 tptp.xl _let_27))))) (let ((_let_30 (tptp.sdtasdt0 _let_5 tptp.sz10))) (let ((_let_31 (tptp.sdtasdt0 tptp.sz10 _let_5))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (= _let_5 _let_30))) (let ((_let_34 (= _let_31 (tptp.sdtasdt0 tptp.xl _let_6)))) (let ((_let_35 (tptp.sdtasdt0 _let_6 tptp.sz10))) (let ((_let_36 (tptp.sdtasdt0 tptp.sz10 _let_6))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (= _let_6 _let_35))) (let ((_let_39 (= tptp.xm _let_28))) (let ((_let_40 (= _let_36 (tptp.sdtpldt0 _let_8 _let_27)))) (let ((_let_41 (tptp.sdtasdt0 _let_27 tptp.sz10))) (let ((_let_42 (tptp.sdtasdt0 tptp.sz10 _let_27))) (let ((_let_43 (= _let_42 _let_41))) (let ((_let_44 (= _let_27 _let_41))) (let ((_let_45 (tptp.sdtpldt0 _let_8 _let_42))) (let ((_let_46 (= (tptp.sdtasdt0 tptp.xl _let_45) (tptp.sdtpldt0 _let_28 (tptp.sdtasdt0 tptp.xl _let_42))))) (let ((_let_47 (ASSUME :args (_let_9)))) (let ((_let_48 (ASSUME :args (_let_7)))) (let ((_let_49 (AND_INTRO _let_48 _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO _let_49 :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_48 _let_47) :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.aNaturalNumber0 _let_5))) (let ((_let_52 (not _let_51))) (let ((_let_53 (not _let_25))) (let ((_let_54 (or _let_53 _let_52 _let_32))) (let ((_let_55 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 (tptp.sz10 _let_5 QUANTIFIERS_INST_ENUM))) (let ((_let_59 (not _let_14))) (let ((_let_60 (not _let_15))) (let ((_let_61 (or _let_60 _let_59 _let_51))) (let ((_let_62 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (ASSUME :args (_let_17)))) (let ((_let_65 (1))) (let ((_let_66 (AND_ELIM _let_64 :args _let_65))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_59 _let_51 (not _let_61)))) _let_66 (AND_ELIM _let_64 :args (2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.xm tptp.xn QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_51 false _let_15 false _let_14 false _let_61)))) (let ((_let_68 (0))) (let ((_let_69 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args _let_68))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 _let_32 (not _let_54)))) _let_69 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_58) :args _let_57)) _let_56 :args (_let_54 false _let_55)) :args (_let_32 false _let_25 false _let_51 false _let_54)))) (let ((_let_71 (and _let_33 (= _let_5 _let_31)))) (let ((_let_72 (or _let_52 _let_71))) (let ((_let_73 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_33 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_52 _let_71 (not _let_72)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_5 QUANTIFIERS_INST_ENUM)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_71 false _let_51 false _let_72)) :args (_let_33 false _let_71)))) (let ((_let_77 (tptp.aNaturalNumber0 _let_6))) (let ((_let_78 (and _let_77 _let_34))) (let ((_let_79 (= _let_6 (tptp.sdtsldt0 _let_31 tptp.xl)))) (let ((_let_80 (= _let_78 _let_79))) (let ((_let_81 (tptp.doDivides0 tptp.xl _let_31))) (let ((_let_82 (not _let_81))) (let ((_let_83 (= tptp.sz00 tptp.xl))) (let ((_let_84 (tptp.aNaturalNumber0 _let_31))) (let ((_let_85 (not _let_84))) (let ((_let_86 (not _let_16))) (let ((_let_87 (or _let_86 _let_85 _let_83 _let_82 _let_80))) (let ((_let_88 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1487 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1487) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1487))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1487)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 (ASSUME :args (_let_13)))) (let ((_let_92 (and _let_11 _let_33 _let_32))) (let ((_let_93 (_let_11 _let_33 _let_32))) (let ((_let_94 (ASSUME :args (_let_11)))) (let ((_let_95 (ASSUME :args (_let_33)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (ASSUME :args (_let_32)))) (let ((_let_98 (SYMM (SYMM _let_97)))) (let ((_let_99 (REFL :args (tptp.xl)))) (let ((_let_100 (or _let_53 _let_52 _let_84))) (let ((_let_101 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 (AND_ELIM _let_64 :args _let_68))) (let ((_let_105 (SYMM (ASSUME :args (_let_10))))) (let ((_let_106 (and _let_33 _let_32))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_80)) :args ((or _let_78 (not _let_79) (not _let_80)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_97 _let_95) (SCOPE (CONG (TRANS (SYMM _let_96) (SYMM _let_98)) _let_99 :args (APPLY_UF tptp.sdtsldt0)) :args (_let_32 _let_33))) :args (_let_33 _let_32))) :args (true _let_106)) _let_76 _let_70 :args (_let_79 false _let_33 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_83 _let_86 _let_85 _let_82 _let_80 (not _let_87)))) _let_105 _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_53 _let_52 _let_84 (not _let_100)))) _let_69 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_58) :args _let_103)) _let_102 :args (_let_100 false _let_101)) :args (_let_84 false _let_25 false _let_51 false _let_100)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_92)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_95 _let_97) (SCOPE (TRUE_ELIM (TRANS (CONG _let_99 (TRANS _let_98 _let_96) :args (APPLY_UF tptp.doDivides0)) (TRUE_INTRO _let_94))) :args _let_93)) :args _let_93)) :args (true _let_92)) (AND_ELIM _let_91 :args _let_65) _let_76 _let_70 :args (_let_81 false _let_11 false _let_33 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.xl _let_31 _let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_90))) _let_89 :args (_let_87 false _let_88)) :args (_let_80 true _let_83 false _let_16 false _let_84 false _let_81 false _let_87)) :args (_let_78 false _let_79 false _let_80)))) (let ((_let_108 (not _let_78))) (let ((_let_109 (not _let_77))) (let ((_let_110 (or _let_53 _let_109 _let_37))) (let ((_let_111 (tptp.sz10 _let_6 QUANTIFIERS_INST_ENUM))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 0)) :args ((or _let_77 _let_108))) _let_107 :args (_let_77 false _let_78)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_53 _let_109 _let_37 (not _let_110)))) _let_69 _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_111) :args _let_57)) _let_56 :args (_let_110 false _let_55)) :args (_let_37 false _let_25 false _let_77 false _let_110)))) (let ((_let_114 (and _let_38 (= _let_6 _let_36)))) (let ((_let_115 (or _let_109 _let_114))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 0)) :args ((or _let_38 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_109 _let_114 (not _let_115)))) _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_6 QUANTIFIERS_INST_ENUM)) :args _let_75)) _let_74 :args (_let_115 false _let_73)) :args (_let_114 false _let_77 false _let_115)) :args (_let_38 false _let_114)))) (let ((_let_117 (tptp.aNaturalNumber0 _let_8))) (let ((_let_118 (and _let_117 _let_39))) (let ((_let_119 (not _let_12))) (let ((_let_120 (or _let_86 _let_60 _let_83 _let_119 _let_118))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_83 _let_86 _let_60 _let_119 _let_118 (not _let_120)))) _let_105 _let_104 _let_66 (AND_ELIM _let_91 :args _let_68) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.xl tptp.xm _let_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_90))) _let_89 :args (_let_120 false _let_88)) :args (_let_118 true _let_83 false _let_16 false _let_15 false _let_12 false _let_120)))) (let ((_let_122 (not _let_118))) (let ((_let_123 (tptp.aNaturalNumber0 _let_27))) (let ((_let_124 (and _let_123 _let_40))) (let ((_let_125 (= _let_27 (tptp.sdtmndt0 _let_36 _let_8)))) (let ((_let_126 (= _let_124 _let_125))) (let ((_let_127 (tptp.sdtlseqdt0 _let_8 _let_36))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.aNaturalNumber0 _let_36))) (let ((_let_130 (not _let_129))) (let ((_let_131 (not _let_117))) (let ((_let_132 (or _let_131 _let_130 _let_128 _let_126))) (let ((_let_133 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1291 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.sdtlseqdt0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1291) (= W1 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1291))) (= (tptp.sdtmndt0 W1 W0) BOUND_VARIABLE_1291)))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (tptp.sdtlseqdt0 _let_8 _let_6))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO _let_49 :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (and _let_135 _let_38 _let_37))) (let ((_let_138 (_let_135 _let_38 _let_37))) (let ((_let_139 (ASSUME :args (_let_38)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (ASSUME :args (_let_37)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (REFL :args (_let_8)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 0)) :args ((or _let_117 _let_122))) _let_121 :args (_let_117 false _let_118)))) (let ((_let_146 (or _let_53 _let_109 _let_129))) (let ((_let_147 (and _let_38 _let_37))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_126)) :args ((or _let_124 (not _let_125) (not _let_126)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_139) (SCOPE (CONG (TRANS (SYMM _let_140) _let_142) _let_144 :args (APPLY_UF tptp.sdtmndt0)) :args (_let_37 _let_38))) :args (_let_38 _let_37))) :args (true _let_147)) _let_116 _let_113 :args (_let_125 false _let_38 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_130 _let_131 _let_128 _let_126 (not _let_132)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_53 _let_109 _let_129 (not _let_146)))) _let_69 _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_111) :args _let_103)) _let_102 :args (_let_146 false _let_101)) :args (_let_129 false _let_25 false _let_77 false _let_146)) _let_145 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_139 _let_141) (SCOPE (TRUE_ELIM (TRANS (CONG _let_144 (TRANS _let_143 _let_140) :args (APPLY_UF tptp.sdtlseqdt0)) (TRUE_INTRO _let_136))) :args _let_138)) :args _let_138)) :args (true _let_137)) _let_116 _let_113 _let_136 :args (_let_127 false _let_38 false _let_37 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_8 _let_36 _let_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_133)))) _let_134 :args (_let_132 false _let_133)) :args (_let_126 false _let_129 false _let_117 false _let_127 false _let_132)) :args (_let_124 false _let_125 false _let_126)))) (let ((_let_149 (not _let_124))) (let ((_let_150 (not _let_123))) (let ((_let_151 (or _let_53 _let_150 _let_43))) (let ((_let_152 (tptp.sz10 _let_27 QUANTIFIERS_INST_ENUM))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_124 0)) :args ((or _let_123 _let_149))) _let_148 :args (_let_123 false _let_124)))) (let ((_let_154 (and _let_44 (= _let_27 _let_42)))) (let ((_let_155 (or _let_150 _let_154))) (let ((_let_156 (and _let_46 (= (tptp.sdtasdt0 _let_45 tptp.xl) (tptp.sdtpldt0 (tptp.sdtasdt0 _let_8 tptp.xl) (tptp.sdtasdt0 _let_42 tptp.xl)))))) (let ((_let_157 (tptp.aNaturalNumber0 _let_42))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_86 _let_131 _let_158 _let_156))) (let ((_let_160 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (or _let_53 _let_150 _let_157))) (let ((_let_163 (not _let_46))) (let ((_let_164 (not _let_39))) (let ((_let_165 (not _let_34))) (let ((_let_166 (not _let_40))) (let ((_let_167 (not _let_32))) (let ((_let_168 (not _let_33))) (let ((_let_169 (not _let_43))) (let ((_let_170 (not _let_44))) (let ((_let_171 (not _let_37))) (let ((_let_172 (not _let_38))) (let ((_let_173 (_let_163))) (let ((_let_174 (not _let_29))) (let ((_let_175 (ASSUME :args (_let_46)))) (let ((_let_176 (APPLY_UF tptp.sdtpldt0))) (let ((_let_177 (APPLY_UF tptp.sdtasdt0))) (let ((_let_178 (ASSUME :args (_let_44)))) (let ((_let_179 (ASSUME :args (_let_43)))) (let ((_let_180 (TRANS (SYMM (SYMM _let_179)) (SYMM _let_178)))) (let ((_let_181 (ASSUME :args (_let_39)))) (let ((_let_182 (ASSUME :args (_let_34)))) (let ((_let_183 (ASSUME :args (_let_40)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_175 (MODUS_PONENS (AND_INTRO _let_181 _let_95 _let_97 _let_182 _let_139 _let_141 _let_183 _let_178 _let_179 _let_50) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_99 (TRANS (CONG _let_144 _let_180 :args _let_176) (SYMM _let_183) _let_143 _let_140) :args _let_177) (SYMM _let_182) _let_98 _let_96 (CONG (SYMM (SYMM _let_181)) (REFL :args (tptp.xn)) :args _let_176)) (CONG (REFL :args (_let_28)) (CONG _let_99 _let_180 :args _let_177) :args _let_176) :args (=)) (FALSE_INTRO _let_50))) :args (_let_39 _let_33 _let_32 _let_34 _let_38 _let_37 _let_40 _let_44 _let_43 _let_174)))) :args (_let_174 _let_38 _let_37 _let_44 _let_43 _let_33 _let_32 _let_39 _let_40 _let_34 _let_46)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_173))) (TRUE_INTRO (SYMM (SYMM _let_175))))) :args (_let_46 _let_163)) :args ((not (and _let_174 _let_38 _let_37 _let_44 _let_43 _let_33 _let_32 _let_39 _let_40 _let_34 _let_46)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_174) _let_29))) (REFL :args (_let_172)) (REFL :args (_let_171)) (REFL :args (_let_170)) (REFL :args (_let_169)) (REFL :args (_let_168)) (REFL :args (_let_167)) (REFL :args (_let_164)) (REFL :args (_let_166)) (REFL :args (_let_165)) (REFL :args _let_173) :args (or))) :args ((or _let_29 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_156 0)) :args ((or _let_46 (not _let_156)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_86 _let_158 _let_131 _let_156 (not _let_159)))) _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_53 _let_150 _let_157 (not _let_162)))) _let_69 _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_152) :args _let_103)) _let_102 :args (_let_162 false _let_101)) :args (_let_157 false _let_25 false _let_123 false _let_162)) _let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (tptp.xl _let_8 _let_42 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_160))) _let_161 :args (_let_159 false _let_160)) :args (_let_156 false _let_16 false _let_157 false _let_117 false _let_159)) :args (_let_46 false _let_156)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_154 0)) :args ((or _let_44 (not _let_154)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_150 _let_154 (not _let_155)))) _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_27 QUANTIFIERS_INST_ENUM)) :args _let_75)) _let_74 :args (_let_155 false _let_73)) :args (_let_154 false _let_123 false _let_155)) :args (_let_44 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_53 _let_150 _let_43 (not _let_151)))) _let_69 _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_152) :args _let_57)) _let_56 :args (_let_151 false _let_55)) :args (_let_43 false _let_25 false _let_123 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_124 1)) :args ((or _let_40 _let_149))) _let_148 :args (_let_40 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 1)) :args ((or _let_39 _let_122))) _let_121 :args (_let_39 false _let_118)) _let_116 _let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_34 _let_108))) _let_107 :args (_let_34 false _let_78)) _let_76 _let_70 _let_50 :args (false false _let_46 false _let_44 false _let_43 false _let_40 false _let_39 false _let_38 false _let_37 false _let_34 false _let_33 false _let_32 true _let_29)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) _let_26 _let_24 _let_23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) _let_22 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) _let_21 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) _let_20 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtpldt0 W0 W1) tptp.sz00) (and (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))) _let_19 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (let ((_let_2 (tptp.sdtpldt0 W0 W2))) (let ((_let_3 (tptp.sdtpldt0 W2 W1))) (let ((_let_4 (tptp.sdtpldt0 W2 W0))) (=> (tptp.aNaturalNumber0 W2) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W2 W0))) (let ((_let_2 (tptp.sdtasdt0 W1 W0))) (let ((_let_3 (tptp.sdtasdt0 W0 W2))) (let ((_let_4 (tptp.sdtasdt0 W0 W1))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (not (= W0 tptp.sz00)) (not (= W1 W2)) (tptp.sdtlseqdt0 W1 W2)) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (not (= W0 tptp.sz00)) (tptp.sdtlseqdt0 W1 (tptp.sdtasdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2))))))) _let_18 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W1 W2)) (tptp.doDivides0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 W2)) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))))) _let_17 _let_13 _let_10 _let_9 _let_7 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.18/11.42 )
% 11.18/11.42 % SZS output end Proof for NUM474+1
% 11.18/11.42 % cvc5---1.0.5 exiting
% 11.18/11.42 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------