%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 10:44:10 EDT 2023

% Result   : Theorem 0.38s 0.61s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri Aug 25 17:36:51 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.61  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.rkgSBksKQP/cvc5---1.0.5_16368.p...
% 0.38/0.61  ------- get file name : TPTP file name is NUM463+1
% 0.38/0.61  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16368.smt2...
% 0.38/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.38/0.61  % SZS status Theorem for NUM463+1
% 0.38/0.61  % SZS output start Proof for NUM463+1
% 0.38/0.61  (
% 0.38/0.61  (let ((_let_1 (tptp.sdtasdt0 tptp.xn tptp.xm))) (let ((_let_2 (tptp.sdtlseqdt0 tptp.xn _let_1))) (let ((_let_3 (not (=> (not (= tptp.xm tptp.sz00)) _let_2)))) (let ((_let_4 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_5 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))))) (let ((_let_8 (forall ((W0 $$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_9 (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_10 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_11 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_13 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_14 (tptp.aNaturalNumber0 tptp.sz10))) (let ((_let_15 (and _let_14 (not (= tptp.sz10 tptp.sz00))))) (let ((_let_16 (tptp.sdtasdt0 tptp.xn tptp.sz10))) (let ((_let_17 (= tptp.xn _let_16))) (let ((_let_18 (tptp.sdtlseqdt0 _let_16 _let_1))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (NOT_IMPLIES_ELIM2 _let_19))) (let ((_let_21 (tptp.sdtasdt0 tptp.sz10 tptp.xn))) (let ((_let_22 (and _let_17 (= tptp.xn _let_21)))) (let ((_let_23 (not _let_4))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (ASSUME :args (_let_6)))) (let ((_let_28 (AND_ELIM _let_27 :args (1)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_17 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_22 (not _let_24)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_22 false _let_4 false _let_24)) :args (_let_17 false _let_22)))) (let ((_let_30 (tptp.sdtasdt0 tptp.xm tptp.xn))) (let ((_let_31 (and (not (= _let_1 _let_16)) _let_18 (not (= _let_30 _let_21)) (tptp.sdtlseqdt0 _let_21 _let_30)))) (let ((_let_32 (tptp.sdtlseqdt0 tptp.sz10 tptp.xm))) (let ((_let_33 (not _let_32))) (let ((_let_34 (= tptp.sz10 tptp.xm))) (let ((_let_35 (= tptp.sz00 tptp.xn))) (let ((_let_36 (not _let_5))) (let ((_let_37 (not _let_14))) (let ((_let_38 (or _let_23 _let_37 _let_36 _let_35 _let_34 _let_33 _let_31))) (let ((_let_39 (forall ((W0 $$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_40 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (not _let_34))) (let ((_let_42 (and _let_41 _let_32))) (let ((_let_43 (= tptp.sz00 tptp.xm))) (let ((_let_44 (or _let_36 _let_43 _let_34 _let_42))) (let ((_let_45 (forall ((W0 $$unsorted)) (let ((_let_1 (= tptp.sz10 W0))) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) _let_1 (and (not _let_1) (tptp.sdtlseqdt0 tptp.sz10 W0))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (= tptp.xn _let_1))) (let ((_let_48 (not _let_47))) (let ((_let_49 (and _let_48 (tptp.sdtlseqdt0 _let_1 tptp.xn)))) (let ((_let_50 (tptp.aNaturalNumber0 _let_1))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_23 _let_51 _let_2 _let_49))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.sdtlseqdt0 W0 W1) (and (not (= W0 W1)) (tptp.sdtlseqdt0 W1 W0)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or _let_23 _let_36 _let_50))) (let ((_let_56 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (0))) (let ((_let_59 (AND_ELIM _let_27 :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 0)) :args ((or _let_48 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_2 _let_23 _let_51 _let_49 (not _let_52)))) _let_20 _let_28 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_36 _let_23 _let_50 (not _let_55)))) _let_59 _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_50 false _let_5 false _let_4 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xn _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sdtlseqdt0 W0 W1) true))))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_49 true _let_2 false _let_4 false _let_50 false _let_52)) :args (_let_48 false _let_49)))) (let ((_let_61 (not _let_17))) (let ((_let_62 (and _let_17 _let_34))) (let ((_let_63 (APPLY_UF tptp.sdtasdt0))) (let ((_let_64 (ASSUME :args (_let_34)))) (let ((_let_65 (ASSUME :args (_let_17)))) (let ((_let_66 (SYMM (SYMM _let_65)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_65) (SCOPE (TRANS _let_66 (CONG (REFL :args (tptp.xn)) (SYMM (SYMM _let_64)) :args _let_63)) :args (_let_34 _let_17))) :args (_let_17 _let_34))) :args (true _let_62)) :args ((or _let_47 _let_41 _let_61))) _let_60 _let_29 :args (_let_41 true _let_47 false _let_17)))) (let ((_let_68 (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00)))) (let ((_let_69 (= _let_1 _let_30))) (let ((_let_70 (not _let_35))) (let ((_let_71 (and _let_68 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm))))) (let ((_let_72 (or _let_36 _let_71))) (let ((_let_73 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (or _let_23 _let_36 _let_69))) (let ((_let_76 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (and _let_69 _let_68 _let_35))) (let ((_let_79 (ASSUME :args (_let_69)))) (let ((_let_80 (ASSUME :args (_let_35)))) (let ((_let_81 (SYMM _let_80))) (let ((_let_82 (ASSUME :args (_let_68)))) (let ((_let_83 (not _let_2))) (let ((_let_84 (ASSUME :args (_let_18)))) (let ((_let_85 (ASSUME :args (_let_83)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_84 _let_65 _let_85) :args (_let_83 _let_17 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_85)) (CONG _let_66 (REFL :args (_let_1)) :args (APPLY_UF tptp.sdtlseqdt0)) (TRUE_INTRO _let_84))) :args (_let_18 _let_17 _let_83)) :args ((not (and _let_83 _let_17 _let_18)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_2))) (REFL :args (_let_61)) (REFL :args ((not _let_18))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_18 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 _let_23 _let_35 _let_34 _let_33 _let_31 (not _let_38)))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args _let_58) _let_59 _let_28 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_80 _let_82) (SCOPE (TRANS _let_81 (SYMM (SYMM _let_82)) (CONG (REFL :args (tptp.xm)) (SYMM _let_81) :args _let_63) (SYMM _let_79)) :args (_let_69 _let_35 _let_68))) :args (_let_69 _let_68 _let_35))) :args (true _let_78)) :args ((or _let_47 (not _let_69) (not _let_68) _let_70))) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_36 _let_23 _let_69 (not _let_75)))) _let_59 _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_69 false _let_5 false _let_4 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_68 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_36 _let_71 (not _let_72)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_71 false _let_5 false _let_72)) :args (_let_68 false _let_71)) :args (_let_70 true _let_47 false _let_69 false _let_68)) _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_32 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_36 _let_34 _let_42 (not _let_44)))) (NOT_IMPLIES_ELIM1 _let_19) _let_59 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_42 true _let_43 false _let_5 true _let_34 false _let_44)) :args (_let_32 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.xn tptp.sz10 tptp.xm QUANTIFIERS_INST_E_MATCHING ((tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_31 false _let_14 false _let_5 false _let_4 true _let_35 true _let_34 false _let_32 false _let_38)) :args (_let_18 false _let_31)) _let_29 _let_20 :args (false false _let_18 false _let_17 true _let_2)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) _let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) _let_13 (forall ((W0 $$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 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) _let_12 (forall ((W0 $$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_11 _let_10 (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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) _let_9 (forall ((W0 $$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_8 _let_7 _let_6 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.38/0.61  )
% 0.38/0.61  % SZS output end Proof for NUM463+1
% 0.38/0.61  % cvc5---1.0.5 exiting
% 0.38/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------