TSTP Solution File: NUM461+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 10:44:09 EDT 2023
% Result : Theorem 0.95s 1.22s
% Output : Proof 0.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 09:54:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.95/1.22 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LCbinPa36L/cvc5---1.0.5_17239.p...
% 0.95/1.22 ------- get file name : TPTP file name is NUM461+2
% 0.95/1.22 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17239.smt2...
% 0.95/1.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.95/1.22 % SZS status Theorem for NUM461+2
% 0.95/1.22 % SZS output start Proof for NUM461+2
% 0.95/1.22 (
% 0.95/1.22 (let ((_let_1 (tptp.sdtpldt0 tptp.xn tptp.xm))) (let ((_let_2 (tptp.sdtpldt0 tptp.xl tptp.xm))) (let ((_let_3 (tptp.sdtlseqdt0 _let_2 _let_1))) (let ((_let_4 (tptp.sdtpldt0 tptp.xm tptp.xn))) (let ((_let_5 (tptp.sdtpldt0 tptp.xm tptp.xl))) (let ((_let_6 (tptp.sdtlseqdt0 _let_5 _let_4))) (let ((_let_7 (not (and (not (= _let_5 _let_4)) (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xm tptp.xl) W0) (tptp.sdtpldt0 tptp.xm tptp.xn)))) _let_6) (not (= _let_2 _let_1)) (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xl tptp.xm) W0) (tptp.sdtpldt0 tptp.xn tptp.xm)))) _let_3))))) (let ((_let_8 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_9 (= tptp.xl tptp.xn))) (let ((_let_10 (and (not _let_9) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xl W0) tptp.xn))) (tptp.sdtlseqdt0 tptp.xl tptp.xn)))) (let ((_let_11 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_12 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (forall ((W0 $$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)))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_17 (= _let_1 _let_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (= _let_4 _let_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (and _let_20 _let_18))) (let ((_let_22 (not _let_12))) (let ((_let_23 (not _let_11))) (let ((_let_24 (not _let_8))) (let ((_let_25 (or _let_24 _let_23 _let_22 _let_21 _let_9))) (let ((_let_26 (0))) (let ((_let_27 (ASSUME :args (_let_13)))) (let ((_let_28 (AND_ELIM _let_27 :args _let_26))) (let ((_let_29 (1))) (let ((_let_30 (AND_ELIM _let_27 :args _let_29))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (ASSUME :args (_let_8)))) (let ((_let_33 (not _let_21))) (let ((_let_34 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtpldt0 tptp.xm tptp.xn) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xm tptp.xl) W0))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_6))) (let ((_let_37 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtpldt0 tptp.xn tptp.xm) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xl tptp.xm) W0))))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_3))) (let ((_let_40 (= _let_2 _let_5))) (let ((_let_41 (= _let_1 _let_4))) (let ((_let_42 (tptp.sdtpldt0 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (= _let_4 _let_42))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.sdtpldt0 tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (= _let_42 (tptp.sdtpldt0 tptp.xm _let_49)))) (let ((_let_51 (= tptp.xn _let_49))) (let ((_let_52 (or _let_24 _let_22 _let_46 _let_50))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (not _let_51))) (let ((_let_56 (or _let_46 _let_55))) (let ((_let_57 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xn (tptp.sdtpldt0 tptp.xl W0))))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (or))) (let ((_let_60 (not _let_57))) (let ((_let_61 (_let_60))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_57))) (REFL :args (_let_58)) :args _let_59)) (AND_ELIM _let_31 :args _let_29) :args (_let_58 true _let_57)))) (let ((_let_63 (REFL :args (_let_56)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_59)) :args ((or _let_45 _let_56))) _let_62 :args (_let_45 true _let_56)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_22 _let_24 _let_46 _let_50 (not _let_52)))) _let_28 _let_32 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xm tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_50 false _let_12 false _let_8 false _let_45 false _let_52)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_51))) :args _let_59)) :args ((or _let_51 _let_56))) _let_62 :args (_let_51 true _let_56)))) (let ((_let_67 (not _let_50))) (let ((_let_68 (and _let_51 _let_50))) (let ((_let_69 (ASSUME :args (_let_50)))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (APPLY_UF tptp.sdtpldt0))) (let ((_let_72 (ASSUME :args (_let_51)))) (let ((_let_73 (CONG (REFL :args (tptp.xm)) (SYMM (SYMM _let_72)) :args _let_71))) (let ((_let_74 (_let_34))) (let ((_let_75 (= _let_1 (tptp.sdtpldt0 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_46 _let_76))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_23 _let_24 _let_41))) (let ((_let_80 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_23 _let_24 _let_41 (not _let_79)))) _let_30 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_79 false _let_80)) :args (_let_41 false _let_11 false _let_8 false _let_79)))) (let ((_let_85 (or _let_22 _let_24 _let_40))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_22 _let_24 _let_40 (not _let_85)))) _let_28 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xl tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_85 false _let_80)) :args (_let_40 false _let_12 false _let_8 false _let_85)))) (let ((_let_87 (not _let_41))) (let ((_let_88 (not _let_40))) (let ((_let_89 (and _let_51 _let_40 _let_41 _let_50))) (let ((_let_90 (ASSUME :args (_let_40)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (ASSUME :args (_let_41)))) (let ((_let_93 (SYMM (SYMM _let_92)))) (let ((_let_94 (_let_37))) (let ((_let_95 (not _let_39))) (let ((_let_96 (not _let_36))) (let ((_let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))))) (let ((_let_98 (and _let_20 _let_40 _let_41))) (let ((_let_99 (ASSUME :args (_let_20)))) (let ((_let_100 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (and (not (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2))) (not (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0)))) (= W1 W2))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_9 _let_22 _let_23 _let_24 _let_21 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.xm tptp.xn tptp.xl QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.aNaturalNumber0 W1) false)) (tptp.sdtpldt0 W0 W2)))) :args (_let_100)))) _let_101 :args (_let_25 false _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 0)) :args ((or _let_20 _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_92 _let_90) (SCOPE (FALSE_ELIM (TRANS (CONG _let_93 (SYMM _let_91) :args (=)) (FALSE_INTRO _let_99))) :args (_let_20 _let_41 _let_40))) :args (_let_20 _let_40 _let_41))) :args (true _let_98)) (CONG _let_97 (REFL :args (_let_88)) (REFL :args (_let_87)) (REFL :args (_let_18)) :args _let_59)) :args ((or _let_19 _let_18 _let_88 _let_87))) _let_84 _let_86 (REORDERING (EQ_RESOLVE (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)))) (CONG _let_97 (REFL :args (_let_96)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) (REFL :args (_let_95)) :args _let_59)) :args ((or _let_19 _let_17 _let_96 _let_95))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_59)) :args ((or _let_37 _let_39))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_46 _let_76 _let_78))) _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_69 _let_72 _let_92) (SCOPE (TRANS _let_93 _let_73 _let_70 (CONG _let_91 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) :args _let_71)) :args (_let_40 _let_50 _let_51 _let_41))) :args (_let_51 _let_40 _let_41 _let_50))) :args (true _let_89)) :args ((or _let_55 _let_75 _let_88 _let_87 _let_67))) _let_66 _let_86 _let_84 _let_65 :args (_let_75 false _let_51 false _let_40 false _let_41 false _let_50)) :args (_let_78 false _let_45 false _let_75)) :args (_let_38 true _let_77)) :args (_let_39 true _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_59)) :args ((or _let_34 _let_36))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_44 _let_48))) _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_72) (SCOPE (TRANS _let_73 _let_70) :args (_let_50 _let_51))) :args (_let_51 _let_50))) :args (true _let_68)) :args ((or _let_55 _let_43 _let_67))) _let_66 _let_65 :args (_let_43 false _let_51 false _let_50)) :args (_let_48 false _let_45 false _let_43)) :args (_let_35 true _let_47)) :args (_let_36 true _let_34)) :args (_let_19 false _let_41 false _let_40 false _let_17 false _let_39 false _let_36)) :args (_let_33 false _let_19)) _let_32 (AND_ELIM _let_31 :args _let_26) _let_30 _let_28 :args (false false _let_25 true _let_21 false _let_8 true _let_9 false _let_11 false _let_12)) :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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))) _let_16 _let_15 (forall ((W0 $$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))))))) _let_14 (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))))) _let_13 _let_10 _let_8 _let_7 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.95/1.23 )
% 0.95/1.23 % SZS output end Proof for NUM461+2
% 0.95/1.23 % cvc5---1.0.5 exiting
% 0.95/1.23 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------