TSTP Solution File: NUM463+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM463+2 : 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 0.21s 0.60s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n009.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 13:23:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.flvgYPFssP/cvc5---1.0.5_22813.p...
% 0.21/0.60 ------- get file name : TPTP file name is NUM463+2
% 0.21/0.60 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22813.smt2...
% 0.21/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.60 % SZS status Theorem for NUM463+2
% 0.21/0.60 % SZS output start Proof for NUM463+2
% 0.21/0.60 (
% 0.21/0.60 (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)) (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xn W0) (tptp.sdtasdt0 tptp.xn tptp.xm)))) _let_2))))) (let ((_let_4 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_5 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (forall ((W0 $$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)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_10 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_12 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_13 (tptp.aNaturalNumber0 tptp.sz10))) (let ((_let_14 (and _let_13 (not (= tptp.sz10 tptp.sz00))))) (let ((_let_15 (tptp.aNaturalNumber0 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 (1))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (NOT_IMPLIES_ELIM2 _let_20))) (let ((_let_22 (tptp.sdtasdt0 tptp.sz10 tptp.xn))) (let ((_let_23 (and _let_17 (= tptp.xn _let_22)))) (let ((_let_24 (not _let_4))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (ASSUME :args (_let_6)))) (let ((_let_29 (AND_ELIM _let_28 :args _let_19))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_17 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 (not _let_25)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_23 false _let_4 false _let_25)) :args (_let_17 false _let_23)))) (let ((_let_31 (tptp.sdtasdt0 tptp.xm tptp.xn))) (let ((_let_32 (and (not (= _let_1 _let_16)) _let_18 (not (= _let_31 _let_22)) (tptp.sdtlseqdt0 _let_22 _let_31)))) (let ((_let_33 (tptp.sdtlseqdt0 tptp.sz10 tptp.xm))) (let ((_let_34 (not _let_33))) (let ((_let_35 (= tptp.sz10 tptp.xm))) (let ((_let_36 (= tptp.sz00 tptp.xn))) (let ((_let_37 (not _let_5))) (let ((_let_38 (not _let_13))) (let ((_let_39 (or _let_24 _let_38 _let_37 _let_36 _let_35 _let_34 _let_32))) (let ((_let_40 (forall ((W0 $$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_41 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (not _let_35))) (let ((_let_43 (and _let_42 _let_33))) (let ((_let_44 (= tptp.sz00 tptp.xm))) (let ((_let_45 (or _let_37 _let_44 _let_35 _let_43))) (let ((_let_46 (forall ((W0 $$unsorted)) (let ((_let_1 (= tptp.sz10 W0))) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) _let_1 (and (not _let_1) (tptp.sdtlseqdt0 tptp.sz10 W0))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (tptp.sdtpldt0 tptp.xn tptp.sz00))) (let ((_let_49 (= tptp.xn _let_48))) (let ((_let_50 (= _let_1 _let_48))) (let ((_let_51 (and _let_49 (= tptp.xn (tptp.sdtpldt0 tptp.sz00 tptp.xn))))) (let ((_let_52 (or _let_24 _let_51))) (let ((_let_53 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 0)) :args ((or _let_49 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_24 _let_51 (not _let_52)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_51 false _let_4 false _let_52)) :args (_let_49 false _let_51)))) (let ((_let_56 (not _let_50))) (let ((_let_57 (not _let_15))) (let ((_let_58 (or _let_57 _let_56))) (let ((_let_59 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtpldt0 tptp.xn W0) (tptp.sdtasdt0 tptp.xn tptp.xm))))))) (let ((_let_60 (0))) (let ((_let_61 (NOT_NOT_ELIM (NOT_OR_ELIM _let_21 :args _let_60)))) (let ((_let_62 (_let_59))) (let ((_let_63 ((not (= (tptp.aNaturalNumber0 W0) false))))) (let ((_let_64 (ASSUME :args _let_62))) (let ((_let_65 (not _let_17))) (let ((_let_66 (not _let_49))) (let ((_let_67 (and _let_49 _let_17 _let_35))) (let ((_let_68 (_let_49 _let_17 _let_35))) (let ((_let_69 (ASSUME :args (_let_49)))) (let ((_let_70 (SYMM (SYMM _let_69)))) (let ((_let_71 (ASSUME :args (_let_17)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (APPLY_UF tptp.sdtasdt0))) (let ((_let_74 (ASSUME :args (_let_35)))) (let ((_let_75 (REFL :args (tptp.xn)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_67)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_71 _let_74) (SCOPE (TRANS (CONG _let_75 (SYMM _let_74) :args _let_73) _let_72 _let_70) :args _let_68)) :args _let_68)) :args (true _let_67)) :args ((or _let_42 _let_50 _let_66 _let_65))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_56 (not _let_58)))) (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62))) _let_61 :args (_let_58 false _let_59)) :args (_let_56 false _let_15 false _let_58)) _let_55 _let_30 :args (_let_42 true _let_50 false _let_49 false _let_17)))) (let ((_let_77 (AND_ELIM _let_28 :args _let_60))) (let ((_let_78 (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00)))) (let ((_let_79 (= _let_1 _let_31))) (let ((_let_80 (= _let_1 (tptp.sdtpldt0 tptp.xn tptp.xn)))) (let ((_let_81 (not _let_36))) (let ((_let_82 (and _let_78 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm))))) (let ((_let_83 (or _let_37 _let_82))) (let ((_let_84 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (or _let_24 _let_37 _let_79))) (let ((_let_87 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (not _let_80))) (let ((_let_90 (or _let_24 _let_89))) (let ((_let_91 (and _let_49 _let_79 _let_78 _let_36))) (let ((_let_92 (ASSUME :args (_let_36)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (ASSUME :args (_let_78)))) (let ((_let_96 (ASSUME :args (_let_79)))) (let ((_let_97 (not _let_2))) (let ((_let_98 (ASSUME :args (_let_18)))) (let ((_let_99 (ASSUME :args (_let_97)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_98 _let_71 _let_99) :args (_let_97 _let_17 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_99)) (CONG (SYMM _let_72) (REFL :args (_let_1)) :args (APPLY_UF tptp.sdtlseqdt0)) (TRUE_INTRO _let_98))) :args (_let_18 _let_17 _let_97)) :args ((not (and _let_97 _let_17 _let_18)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_2))) (REFL :args (_let_65)) (REFL :args ((not _let_18))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_18 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 _let_24 _let_36 _let_35 _let_34 _let_32 (not _let_39)))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args _let_60) _let_77 _let_29 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_69 _let_95 _let_96) (SCOPE (TRANS (SYMM (SYMM _let_96)) (CONG (REFL :args (tptp.xm)) _let_93 :args _let_73) (SYMM _let_95) _let_94 _let_70 (CONG _let_75 _let_94 :args (APPLY_UF tptp.sdtpldt0))) :args (_let_36 _let_49 _let_78 _let_79))) :args (_let_49 _let_79 _let_78 _let_36))) :args (true _let_91)) :args ((or _let_80 _let_66 (not _let_79) (not _let_78) _let_81))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_24 _let_89 (not _let_90)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62))) _let_61 :args (_let_90 false _let_59)) :args (_let_89 false _let_4 false _let_90)) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_37 _let_24 _let_79 (not _let_86)))) _let_77 _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_79 false _let_5 false _let_4 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 0)) :args ((or _let_78 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_37 _let_82 (not _let_83)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_82 false _let_5 false _let_83)) :args (_let_78 false _let_82)) :args (_let_81 true _let_80 false _let_49 false _let_79 false _let_78)) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_33 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_37 _let_35 _let_43 (not _let_45)))) (NOT_IMPLIES_ELIM1 _let_20) _let_77 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_43 true _let_44 false _let_5 true _let_35 false _let_45)) :args (_let_33 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.xn tptp.sz10 tptp.xm QUANTIFIERS_INST_E_MATCHING ((tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_32 false _let_13 false _let_5 false _let_4 true _let_36 true _let_35 false _let_33 false _let_39)) :args (_let_18 false _let_32)) _let_30 (NOT_OR_ELIM _let_21 :args _let_19) :args (false false _let_18 false _let_17 true _let_2)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) _let_15 _let_14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$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))))) _let_12 _let_11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) _let_10 _let_9 (forall ((W0 $$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))))))))))) _let_8 _let_7 _let_6 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.61 )
% 0.21/0.61 % SZS output end Proof for NUM463+2
% 0.21/0.61 % cvc5---1.0.5 exiting
% 0.21/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------