%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM480+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 10:44:17 EDT 2023

% Result   : Theorem 76.25s 76.55s
% Output   : Proof 76.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM480+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Aug 25 15:56:07 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.53  %----Proving TF0_NAR, FOF, or CNF
% 76.25/76.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kkXtAfdxvw/cvc5---1.0.5_1611.p...
% 76.25/76.55  ------- get file name : TPTP file name is NUM480+1
% 76.25/76.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1611.smt2...
% 76.25/76.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 76.25/76.55  --- Run --no-e-matching --full-saturate-quant at 5...
% 76.25/76.55  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 76.25/76.55  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 76.25/76.55  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 76.25/76.55  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 76.25/76.55  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 76.25/76.55  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 76.25/76.55  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 76.25/76.55  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 76.25/76.55  --- Run --relevant-triggers --full-saturate-quant at 5...
% 76.25/76.55  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 76.25/76.55  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.25/76.55  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.25/76.55  % SZS status Theorem for NUM480+1
% 76.25/76.55  % SZS output start Proof for NUM480+1
% 76.25/76.55  (
% 76.25/76.55  (let ((_let_1 (tptp.sdtsldt0 (tptp.sdtasdt0 tptp.xn tptp.xm) tptp.xl))) (let ((_let_2 (tptp.sdtsldt0 tptp.xm tptp.xl))) (let ((_let_3 (tptp.sdtasdt0 tptp.xn _let_2))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.sdtasdt0 tptp.xl tptp.xn))) (let ((_let_6 (tptp.sdtasdt0 _let_5 _let_2))) (let ((_let_7 (= _let_6 (tptp.sdtasdt0 tptp.xl _let_1)))) (let ((_let_8 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_9 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_10 (and (not (= tptp.xl tptp.sz00)) _let_9))) (let ((_let_11 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_12 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))))) (let ((_let_15 (forall ((W0 $$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 ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_19 (= _let_1 _let_3))) (let ((_let_20 (tptp.sdtasdt0 tptp.xn tptp.xl))) (let ((_let_21 (= _let_5 _let_20))) (let ((_let_22 (tptp.sdtasdt0 tptp.xl _let_2))) (let ((_let_23 (= tptp.xm _let_22))) (let ((_let_24 (tptp.sdtasdt0 tptp.xl _let_3))) (let ((_let_25 (= _let_6 _let_24))) (let ((_let_26 (= (tptp.sdtasdt0 _let_20 _let_2) (tptp.sdtasdt0 tptp.xn _let_22)))) (let ((_let_27 (= _let_3 (tptp.sdtsldt0 _let_24 tptp.xl)))) (let ((_let_28 (SYMM (ASSUME :args (_let_4))))) (let ((_let_29 (not _let_8))) (let ((_let_30 (not _let_12))) (let ((_let_31 (or _let_30 _let_29 _let_21))) (let ((_let_32 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (ASSUME :args (_let_8)))) (let ((_let_35 (0))) (let ((_let_36 (ASSUME :args (_let_13)))) (let ((_let_37 (AND_ELIM _let_36 :args _let_35))) (let ((_let_38 (tptp.aNaturalNumber0 _let_2))) (let ((_let_39 (and _let_38 _let_23))) (let ((_let_40 (not _let_9))) (let ((_let_41 (= tptp.sz00 tptp.xl))) (let ((_let_42 (not _let_11))) (let ((_let_43 (or _let_30 _let_42 _let_41 _let_40 _let_39))) (let ((_let_44 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1509 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1509) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1509))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1509)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (1))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (AND_ELIM _let_48 :args _let_35))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_41 _let_30 _let_42 _let_40 _let_39 (not _let_43)))) _let_49 _let_37 (AND_ELIM _let_36 :args _let_47) (AND_ELIM _let_48 :args _let_47) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.xl tptp.xm _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46))) _let_45 :args (_let_43 false _let_44)) :args (_let_39 true _let_41 false _let_12 false _let_11 false _let_9 false _let_43)))) (let ((_let_51 (not _let_39))) (let ((_let_52 (not _let_38))) (let ((_let_53 (or _let_30 _let_29 _let_52 _let_25))) (let ((_let_54 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_38 _let_51))) _let_50 :args (_let_38 false _let_39)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_30 _let_29 _let_52 _let_25 (not _let_53)))) _let_37 _let_34 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.xl tptp.xn _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_25 false _let_12 false _let_8 false _let_38 false _let_53)))) (let ((_let_59 (or _let_29 _let_30 _let_52 _let_26))) (let ((_let_60 (tptp.aNaturalNumber0 _let_3))) (let ((_let_61 (= _let_60 _let_27))) (let ((_let_62 (tptp.doDivides0 tptp.xl _let_24))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.aNaturalNumber0 _let_24))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_30 _let_65 _let_41 _let_63 _let_61))) (let ((_let_67 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= (tptp.sdtasdt0 tptp.xl (tptp.sdtasdt0 tptp.xn (tptp.sdtsldt0 tptp.xm tptp.xl))) (tptp.sdtasdt0 tptp.xl W2))))))) (let ((_let_68 (not _let_67))) (let ((_let_69 (= _let_62 _let_68))) (let ((_let_70 (or _let_30 _let_65 _let_69))) (let ((_let_71 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W1 (tptp.sdtasdt0 W0 W2))))))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (tptp.aNaturalNumber0 _let_6))) (let ((_let_74 (tptp.aNaturalNumber0 _let_5))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_52 _let_73))) (let ((_let_77 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_81 (or _let_30 _let_29 _let_74))) (let ((_let_82 (ASSUME :args (_let_7)))) (let ((_let_83 (and _let_7 _let_73 _let_25))) (let ((_let_84 (ASSUME :args (_let_73)))) (let ((_let_85 (APPLY_UF tptp.aNaturalNumber0))) (let ((_let_86 (ASSUME :args (_let_25)))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_83)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_82 _let_86) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_87 _let_82) :args _let_85) (CONG (SYMM _let_82) :args _let_85) (TRUE_INTRO _let_84))) :args (_let_73 _let_7 _let_25))) :args (_let_7 _let_73 _let_25))) :args (true _let_83)) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_52 _let_75 _let_73 (not _let_76)))) _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_30 _let_29 _let_74 (not _let_81)))) _let_37 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.xl tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_81 false _let_77)) :args (_let_74 false _let_12 false _let_8 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_76 false _let_77)) :args (_let_73 false _let_38 false _let_74 false _let_76)) _let_58 :args (_let_64 false _let_7 false _let_73 false _let_25)))) (let ((_let_89 (or _let_29 _let_52 _let_60))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_29 _let_52 _let_60 (not _let_89)))) _let_34 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.xn _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_89 false _let_77)) :args (_let_60 false _let_8 false _let_38 false _let_89)))) (let ((_let_91 (not _let_60))) (let ((_let_92 (_let_67))) (let ((_let_93 (not _let_69))) (let ((_let_94 (or))) (let ((_let_95 (not _let_27))) (let ((_let_96 (_let_95))) (let ((_let_97 (not _let_19))) (let ((_let_98 (ASSUME :args (_let_27)))) (let ((_let_99 (APPLY_UF tptp.sdtasdt0))) (let ((_let_100 (ASSUME :args (_let_23)))) (let ((_let_101 (ASSUME :args (_let_26)))) (let ((_let_102 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_100 _let_101 _let_102 _let_86 _let_28) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (CONG (TRANS _let_87 (CONG (SYMM (SYMM _let_102)) (REFL :args (_let_2)) :args _let_99) (SYMM (SYMM _let_101)) (CONG (REFL :args (tptp.xn)) (SYMM _let_100) :args _let_99)) (REFL :args (tptp.xl)) :args (APPLY_UF tptp.sdtsldt0)) (REFL :args (_let_3)) :args (=)) (FALSE_INTRO _let_28)) :args ((= _let_27 false)))) :args (_let_23 _let_26 _let_21 _let_25 _let_97))) _let_98) :args (_let_97 _let_21 _let_25 _let_23 _let_26 _let_27)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_96))) (TRUE_INTRO _let_98))) :args (_let_95 _let_27)) :args ((not (and _let_97 _let_21 _let_25 _let_23 _let_26 _let_27)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_19))) (REFL :args ((not _let_21))) (REFL :args ((not _let_25))) (REFL :args ((not _let_23))) (REFL :args ((not _let_26))) (REFL :args _let_96) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_91 _let_27 (not _let_61)))) _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_41 _let_30 _let_65 _let_63 _let_61 (not _let_66)))) _let_49 _let_37 _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_69)) (CONG (REFL :args (_let_93)) (REFL :args (_let_62)) (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_94)) :args ((or _let_62 _let_67 _let_93))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (_let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92))) :args ((or _let_91 _let_68))) _let_90 :args (_let_68 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_30 _let_65 _let_69 (not _let_70)))) _let_37 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.xl _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_69 false _let_12 false _let_64 false _let_70)) :args (_let_62 true _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.xl _let_24 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46))) _let_45 :args (_let_66 false _let_44)) :args (_let_61 true _let_41 false _let_12 false _let_64 false _let_62 false _let_66)) :args (_let_27 false _let_60 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_30 _let_29 _let_52 _let_26 (not _let_59)))) _let_37 _let_34 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.xn tptp.xl _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_55 :args (_let_59 false _let_54)) :args (_let_26 false _let_12 false _let_8 false _let_38 false _let_59)) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_23 _let_51))) _let_50 :args (_let_23 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_29 _let_21 (not _let_31)))) _let_37 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.xl tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_21 false _let_12 false _let_8 false _let_31)) _let_28 :args (false false _let_27 false _let_26 false _let_25 false _let_23 false _let_21 true _let_19)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) _let_18 (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_17 _let_16 (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))) (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)))) _let_15 _let_14 (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))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))) (tptp.doDivides0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.doDivides0 W0 W1) (not (= W1 tptp.sz00))) (tptp.sdtlseqdt0 W0 W1)))) _let_13 _let_10 _let_8 _let_7 _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 76.25/76.55  )
% 76.25/76.55  % SZS output end Proof for NUM480+1
% 76.25/76.55  % cvc5---1.0.5 exiting
% 76.25/76.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------