%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 25.56s 25.91s
% Output   : Proof 25.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.13/0.32  % Computer : n029.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Fri Aug 25 08:02:39 EDT 2023
% 0.13/0.32  % CPUTime    : 
% 0.16/0.43  %----Proving TF0_NAR, FOF, or CNF
% 25.56/25.91  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OrQOBClo9Y/cvc5---1.0.5_26290.p...
% 25.56/25.91  ------- get file name : TPTP file name is NUM473+1
% 25.56/25.91  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26290.smt2...
% 25.56/25.91  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.56/25.91  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.56/25.91  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.56/25.91  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.56/25.91  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.56/25.91  % SZS status Theorem for NUM473+1
% 25.56/25.91  % SZS output start Proof for NUM473+1
% 25.56/25.91  (
% 25.56/25.91  (let ((_let_1 (not (tptp.sdtlseqdt0 tptp.xp tptp.xq)))) (let ((_let_2 (tptp.sdtpldt0 tptp.xm tptp.xn))) (let ((_let_3 (tptp.sdtlseqdt0 tptp.xm _let_2))) (let ((_let_4 (tptp.sdtsldt0 _let_2 tptp.xl))) (let ((_let_5 (= tptp.xq _let_4))) (let ((_let_6 (tptp.sdtsldt0 tptp.xm tptp.xl))) (let ((_let_7 (= tptp.xp _let_6))) (let ((_let_8 (not (= tptp.xl tptp.sz00)))) (let ((_let_9 (tptp.doDivides0 tptp.xl _let_2))) (let ((_let_10 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_13 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_14 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_15 (and _let_14 _let_13 _let_12))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))))) (let ((_let_17 (forall ((W0 $$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))))))))))) (let ((_let_18 (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))))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))) (let ((_let_20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_21 (= tptp.xm _let_2))) (let ((_let_22 (tptp.sdtlseqdt0 _let_2 tptp.xm))) (let ((_let_23 (not _let_22))) (let ((_let_24 (not _let_3))) (let ((_let_25 (tptp.aNaturalNumber0 _let_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_13))) (let ((_let_28 (or _let_27 _let_26 _let_24 _let_23 _let_21))) (let ((_let_29 (1))) (let ((_let_30 (ASSUME :args (_let_15)))) (let ((_let_31 (AND_ELIM _let_30 :args _let_29))) (let ((_let_32 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W1 W0)) (= W0 W1))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_12))) (let ((_let_35 (or _let_27 _let_34 _let_25))) (let ((_let_36 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_27 _let_34 _let_25 (not _let_35)))) _let_31 (AND_ELIM _let_30 :args (2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.xm tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_25 false _let_13 false _let_12 false _let_35)))) (let ((_let_39 (tptp.sdtasdt0 tptp.xl _let_4))) (let ((_let_40 (tptp.sdtasdt0 tptp.xl _let_6))) (let ((_let_41 (= _let_40 _let_39))) (let ((_let_42 (= _let_2 _let_39))) (let ((_let_43 (= tptp.xm _let_40))) (let ((_let_44 (not _let_21))) (let ((_let_45 (tptp.sdtasdt0 _let_6 tptp.xl))) (let ((_let_46 (tptp.sdtasdt0 _let_4 tptp.xl))) (let ((_let_47 (tptp.sdtlseqdt0 _let_39 _let_40))) (let ((_let_48 (not _let_41))) (let ((_let_49 (and _let_48 _let_47 (not (= _let_45 _let_46)) (tptp.sdtlseqdt0 _let_46 _let_45)))) (let ((_let_50 (tptp.sdtlseqdt0 _let_4 _let_6))) (let ((_let_51 (not _let_50))) (let ((_let_52 (= _let_6 _let_4))) (let ((_let_53 (= tptp.sz00 tptp.xl))) (let ((_let_54 (tptp.aNaturalNumber0 _let_6))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.aNaturalNumber0 _let_4))) (let ((_let_57 (not _let_56))) (let ((_let_58 (not _let_14))) (let ((_let_59 (or _let_58 _let_57 _let_55 _let_53 _let_52 _let_51 _let_49))) (let ((_let_60 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W2 W0))) (let ((_let_2 (tptp.sdtasdt0 W1 W0))) (let ((_let_3 (tptp.sdtasdt0 W0 W2))) (let ((_let_4 (tptp.sdtasdt0 W0 W1))) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= tptp.sz00 W0) (= W1 W2) (not (tptp.sdtlseqdt0 W1 W2)) (and (not (= _let_3 _let_4)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_1 _let_2)) (tptp.sdtlseqdt0 _let_2 _let_1)))))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (tptp.sdtlseqdt0 _let_6 _let_4))) (let ((_let_63 (not _let_52))) (let ((_let_64 (and _let_63 _let_62))) (let ((_let_65 (or _let_57 _let_55 _let_50 _let_64))) (let ((_let_66 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.sdtlseqdt0 W0 W1) (and (not (= W0 W1)) (tptp.sdtlseqdt0 W1 W0)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 (not _let_64))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (AND_INTRO (ASSUME :args (_let_5)) (ASSUME :args (_let_7))) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (and _let_56 _let_42))) (let ((_let_72 (not _let_9))) (let ((_let_73 (or _let_58 _let_26 _let_53 _let_72 _let_71))) (let ((_let_74 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1480 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1480) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1480))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1480)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 (ASSUME :args (_let_11)))) (let ((_let_78 (0))) (let ((_let_79 (AND_ELIM _let_30 :args _let_78))) (let ((_let_80 (SYMM (ASSUME :args (_let_8))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_53 _let_58 _let_72 _let_26 _let_71 (not _let_73)))) _let_80 _let_79 (AND_ELIM _let_77 :args _let_29) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.xl _let_2 _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76))) _let_75 :args (_let_73 false _let_74)) :args (_let_71 true _let_53 false _let_14 false _let_9 false _let_25 false _let_73)))) (let ((_let_82 (not _let_71))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_56 _let_82))) _let_81 :args (_let_56 false _let_71)))) (let ((_let_84 (and _let_54 _let_43))) (let ((_let_85 (not _let_10))) (let ((_let_86 (or _let_58 _let_27 _let_53 _let_85 _let_84))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_53 _let_58 _let_27 _let_85 _let_84 (not _let_86)))) _let_80 _let_79 _let_31 (AND_ELIM _let_77 :args _let_78) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.xl tptp.xm _let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76))) _let_75 :args (_let_86 false _let_74)) :args (_let_84 true _let_53 false _let_14 false _let_13 false _let_10 false _let_86)))) (let ((_let_88 (not _let_84))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 0)) :args ((or _let_54 _let_88))) _let_87 :args (_let_54 false _let_84)))) (let ((_let_90 (and _let_63 _let_50))) (let ((_let_91 (or _let_55 _let_57 _let_62 _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_53 _let_58 _let_55 _let_57 _let_52 _let_51 _let_49 (not _let_59)))) _let_80 _let_79 _let_89 _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 0)) :args ((or _let_63 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_62 _let_55 _let_57 _let_90 (not _let_91)))) _let_70 _let_89 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_6 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sdtlseqdt0 W0 W1) true))))) :args _let_68)) _let_67 :args (_let_91 false _let_66)) :args (_let_90 true _let_62 false _let_54 false _let_56 false _let_91)) :args (_let_63 false _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_55 _let_57 _let_50 _let_64 (not _let_65)))) _let_89 _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_62 _let_69))) _let_70 :args (_let_69 true _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_4 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtlseqdt0 W1 W0)))) :args _let_68))) _let_67 :args (_let_65 false _let_66)) :args (_let_50 false _let_54 false _let_56 true _let_64 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.xl _let_4 _let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_60)))) _let_61 :args (_let_59 false _let_60)) :args (_let_49 true _let_53 false _let_14 false _let_54 false _let_56 true _let_52 false _let_50 false _let_59)))) (let ((_let_93 (not _let_49))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_42 _let_82))) _let_81 :args (_let_42 false _let_71)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 1)) :args ((or _let_43 _let_88))) _let_87 :args (_let_43 false _let_84)))) (let ((_let_96 (not _let_42))) (let ((_let_97 (not _let_43))) (let ((_let_98 (and _let_43 _let_42 _let_48))) (let ((_let_99 (ASSUME :args (_let_48)))) (let ((_let_100 (ASSUME :args (_let_42)))) (let ((_let_101 (SYMM (SYMM _let_100)))) (let ((_let_102 (ASSUME :args (_let_43)))) (let ((_let_103 (SYMM (SYMM _let_102)))) (let ((_let_104 (and _let_43 _let_42 _let_47))) (let ((_let_105 (ASSUME :args (_let_47)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_24 _let_26 _let_23 _let_21 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_100 _let_102) (SCOPE (TRUE_ELIM (TRANS (CONG _let_101 _let_103 :args (APPLY_UF tptp.sdtlseqdt0)) (TRUE_INTRO _let_105))) :args (_let_47 _let_42 _let_43))) :args (_let_43 _let_42 _let_47))) :args (true _let_104)) :args ((or _let_22 _let_97 _let_96 (not _let_47)))) _let_95 _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 1)) :args ((or _let_47 _let_93))) _let_92 :args (_let_47 false _let_49)) :args (_let_22 false _let_43 false _let_42 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_102 _let_100) (SCOPE (FALSE_ELIM (TRANS (CONG _let_103 _let_101 :args (=)) (FALSE_INTRO _let_99))) :args (_let_48 _let_43 _let_42))) :args (_let_43 _let_42 _let_48))) :args (true _let_98)) (CONG (REFL :args (_let_97)) (REFL :args (_let_96)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_41))) (REFL :args (_let_44)) :args (or))) :args ((or _let_44 _let_97 _let_96 _let_41))) _let_95 _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 0)) :args ((or _let_48 _let_93))) _let_92 :args (_let_48 false _let_49)) :args (_let_44 false _let_43 false _let_42 true _let_41)) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.xm _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sdtlseqdt0 W0 W1) false))))) :args (_let_32))) _let_33 :args (_let_28 false _let_32)) (ASSUME :args (_let_3)) _let_31 :args (false false _let_22 true _let_21 false _let_25 false _let_28 false _let_3 false _let_13)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) _let_20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$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 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$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))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$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)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))) _let_19 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) _let_18 (forall ((W0 $$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))))))))))) _let_17 (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_16 (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_15 _let_11 _let_8 _let_7 _let_5 _let_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.56/25.91  )
% 25.56/25.91  % SZS output end Proof for NUM473+1
% 25.56/25.91  % cvc5---1.0.5 exiting
% 25.56/25.91  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------