TSTP Solution File: NUM479+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM479+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 86.37s 76.83s
% Output : Proof 86.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM479+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 12:41:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 86.37/76.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lfshNhoHMT/cvc5---1.0.5_11676.p...
% 86.37/76.83 ------- get file name : TPTP file name is NUM479+1
% 86.37/76.83 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11676.smt2...
% 86.37/76.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 86.37/76.83 --- Run --no-e-matching --full-saturate-quant at 5...
% 86.37/76.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 86.37/76.83 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 86.37/76.83 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 86.37/76.83 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 86.37/76.83 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 86.37/76.83 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 86.37/76.83 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 86.37/76.83 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 86.37/76.83 --- Run --relevant-triggers --full-saturate-quant at 5...
% 86.37/76.83 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 86.37/76.83 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 86.37/76.83 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 86.37/76.83 % SZS status Theorem for NUM479+1
% 86.37/76.83 % SZS output start Proof for NUM479+1
% 86.37/76.83 (
% 86.37/76.83 (let ((_let_1 (tptp.sdtasdt0 tptp.xn tptp.xm))) (let ((_let_2 (tptp.sdtsldt0 _let_1 tptp.xl))) (let ((_let_3 (tptp.sdtasdt0 tptp.xl _let_2))) (let ((_let_4 (tptp.sdtsldt0 tptp.xm tptp.xl))) (let ((_let_5 (tptp.sdtasdt0 tptp.xl tptp.xn))) (let ((_let_6 (tptp.sdtasdt0 _let_5 _let_4))) (let ((_let_7 (= _let_6 _let_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_10 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_11 (and (not (= tptp.xl tptp.sz00)) _let_10))) (let ((_let_12 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_13 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))))) (let ((_let_16 (forall ((W0 $$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_17 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_20 (tptp.aNaturalNumber0 _let_4))) (let ((_let_21 (tptp.sdtasdt0 tptp.xn _let_4))) (let ((_let_22 (tptp.aNaturalNumber0 _let_21))) (let ((_let_23 (not _let_20))) (let ((_let_24 (not _let_9))) (let ((_let_25 (or _let_24 _let_23 _let_22))) (let ((_let_26 (ASSUME :args (_let_9)))) (let ((_let_27 (tptp.sdtasdt0 tptp.xl _let_4))) (let ((_let_28 (= tptp.xm _let_27))) (let ((_let_29 (and _let_20 _let_28))) (let ((_let_30 (not _let_10))) (let ((_let_31 (= tptp.sz00 tptp.xl))) (let ((_let_32 (not _let_12))) (let ((_let_33 (not _let_13))) (let ((_let_34 (or _let_33 _let_32 _let_31 _let_30 _let_29))) (let ((_let_35 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1507 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1507) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1507))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1507)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (1))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (ASSUME :args (_let_14)))) (let ((_let_41 (AND_ELIM _let_40 :args _let_38))) (let ((_let_42 (0))) (let ((_let_43 (AND_ELIM _let_40 :args _let_42))) (let ((_let_44 (AND_ELIM _let_39 :args _let_42))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_31 _let_33 _let_32 _let_30 _let_29 (not _let_34)))) _let_44 _let_43 _let_41 (AND_ELIM _let_39 :args _let_38) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.xl tptp.xm _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37))) _let_36 :args (_let_34 false _let_35)) :args (_let_29 true _let_31 false _let_13 false _let_12 false _let_10 false _let_34)))) (let ((_let_46 (not _let_29))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_20 _let_46))) _let_45 :args (_let_20 false _let_29)))) (let ((_let_48 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= (tptp.sdtasdt0 tptp.xl (tptp.sdtasdt0 tptp.xn (tptp.sdtsldt0 tptp.xm tptp.xl))) (tptp.sdtasdt0 tptp.xl W2))))))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.sdtasdt0 tptp.xl _let_21))) (let ((_let_51 (tptp.doDivides0 tptp.xl _let_50))) (let ((_let_52 (= _let_51 _let_49))) (let ((_let_53 (tptp.aNaturalNumber0 _let_50))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_33 _let_54 _let_52))) (let ((_let_56 (forall ((W0 $$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_57 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (= _let_6 _let_50))) (let ((_let_59 (tptp.aNaturalNumber0 _let_6))) (let ((_let_60 (or _let_33 _let_24 _let_23 _let_58))) (let ((_let_61 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_33 _let_24 _let_23 _let_58 (not _let_60)))) _let_43 _let_26 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.xl tptp.xn _let_4 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) :args _let_63)) _let_62 :args (_let_60 false _let_61)) :args (_let_58 false _let_13 false _let_9 false _let_20 false _let_60)))) (let ((_let_65 (tptp.aNaturalNumber0 _let_5))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_23 _let_59))) (let ((_let_68 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_72 (or _let_33 _let_24 _let_65))) (let ((_let_73 (and _let_59 _let_58))) (let ((_let_74 (_let_59 _let_58))) (let ((_let_75 (ASSUME :args (_let_59)))) (let ((_let_76 (ASSUME :args (_let_58)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (tptp.sdtasdt0 tptp.xn tptp.xl))) (let ((_let_79 (= (tptp.sdtasdt0 _let_78 _let_4) (tptp.sdtasdt0 tptp.xn _let_27)))) (let ((_let_80 (tptp.doDivides0 tptp.xl _let_1))) (let ((_let_81 (= _let_5 _let_78))) (let ((_let_82 (not _let_51))) (let ((_let_83 (or _let_24 _let_33 _let_23 _let_79))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_33 _let_24 _let_23 _let_79 (not _let_83)))) _let_43 _let_26 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.xn tptp.xl _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_63)) _let_62 :args (_let_83 false _let_61)) :args (_let_79 false _let_13 false _let_9 false _let_20 false _let_83)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_46))) _let_45 :args (_let_28 false _let_29)))) (let ((_let_86 (= _let_1 _let_3))) (let ((_let_87 (and (tptp.aNaturalNumber0 _let_2) _let_86))) (let ((_let_88 (not _let_80))) (let ((_let_89 (tptp.aNaturalNumber0 _let_1))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_33 _let_90 _let_31 _let_88 _let_87))) (let ((_let_92 (not _let_87))) (let ((_let_93 (not _let_86))) (let ((_let_94 (or _let_33 _let_24 _let_81))) (let ((_let_95 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_33 _let_24 _let_81 (not _let_94)))) _let_43 _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.xl tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_81 false _let_13 false _let_9 false _let_94)))) (let ((_let_98 (ASSUME :args (_let_8)))) (let ((_let_99 (not _let_79))) (let ((_let_100 (not _let_28))) (let ((_let_101 (not _let_81))) (let ((_let_102 (or))) (let ((_let_103 (REFL :args (_let_99)))) (let ((_let_104 (REFL :args (_let_100)))) (let ((_let_105 (REFL :args (_let_101)))) (let ((_let_106 (and _let_8 _let_81 _let_28 _let_79))) (let ((_let_107 (APPLY_UF tptp.sdtasdt0))) (let ((_let_108 (REFL :args (_let_4)))) (let ((_let_109 (ASSUME :args (_let_81)))) (let ((_let_110 (SYMM (SYMM _let_109)))) (let ((_let_111 (ASSUME :args (_let_79)))) (let ((_let_112 (SYMM (SYMM _let_111)))) (let ((_let_113 (ASSUME :args (_let_28)))) (let ((_let_114 (SYMM _let_113))) (let ((_let_115 (REFL :args (tptp.xn)))) (let ((_let_116 (or _let_24 _let_32 _let_89))) (let ((_let_117 (and _let_81 _let_58 _let_88 _let_28 _let_79))) (let ((_let_118 (ASSUME :args (_let_88)))) (let ((_let_119 (not _let_52))) (let ((_let_120 (_let_48))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 _let_22 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.xn _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_25 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_120) :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 tptp.xl W2)))) :args _let_120))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_52)) (CONG (REFL :args (_let_119)) (REFL :args (_let_51)) (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_102)) :args ((or _let_51 _let_48 _let_119))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_118 _let_113 _let_111 _let_109 _let_76) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.xl)) (TRANS _let_77 (CONG _let_110 _let_108 :args _let_107) _let_112 (CONG _let_115 _let_114 :args _let_107)) :args (APPLY_UF tptp.doDivides0)) (FALSE_INTRO _let_118))) :args (_let_88 _let_28 _let_79 _let_81 _let_58))) :args (_let_81 _let_58 _let_88 _let_28 _let_79))) :args (true _let_117)) (CONG _let_105 (REFL :args ((not _let_58))) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_80))) _let_104 _let_103 (REFL :args (_let_82)) :args _let_102)) _let_97 _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_31 _let_33 _let_90 _let_88 _let_87 (not _let_91)))) _let_44 _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_32 _let_24 _let_89 (not _let_116)))) _let_41 _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_116 false _let_68)) :args (_let_89 false _let_12 false _let_9 false _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 1)) :args ((or _let_86 _let_92))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_109 _let_111 _let_113) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_115 (SYMM _let_114) :args _let_107) (SYMM _let_112) (CONG (SYMM _let_110) _let_108 :args _let_107)) (REFL :args (_let_3)) :args (=)) (FALSE_INTRO _let_98))) :args (_let_8 _let_81 _let_79 _let_28))) :args (_let_8 _let_81 _let_28 _let_79))) :args (true _let_106)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) _let_105 _let_104 _let_103 (REFL :args (_let_93)) :args _let_102)) :args ((or _let_7 _let_101 _let_93 _let_100 _let_99))) _let_98 _let_97 _let_85 _let_84 :args (_let_93 true _let_7 false _let_81 false _let_28 false _let_79)) :args (_let_92 true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.xl _let_1 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37))) _let_36 :args (_let_91 false _let_35)) :args (_let_88 true _let_31 false _let_13 false _let_89 true _let_87 false _let_91)) _let_85 _let_84 :args (_let_82 false _let_81 false _let_58 true _let_80 false _let_28 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_33 _let_54 _let_52 (not _let_55)))) _let_43 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_75 _let_76) (SCOPE (TRUE_ELIM (TRANS (CONG _let_77 :args (APPLY_UF tptp.aNaturalNumber0)) (TRUE_INTRO _let_75))) :args _let_74)) :args _let_74)) :args (true _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_23 _let_59 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_33 _let_24 _let_65 (not _let_72)))) _let_43 _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.xl tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_72 false _let_68)) :args (_let_65 false _let_13 false _let_9 false _let_72)) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_5 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_59 false _let_65 false _let_20 false _let_67)) _let_64 :args (_let_53 false _let_59 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.xl _let_50 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_52 false _let_13 false _let_53 false _let_55)) :args (_let_48 true _let_51 false _let_52)) :args ((not _let_22) false _let_48)) _let_47 _let_26 :args (false false _let_25 true _let_22 false _let_20 false _let_9)) :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_19 (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_18 _let_17 (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_16 _let_15 (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_14 _let_11 _let_9 _let_8 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 86.37/76.83 )
% 86.37/76.83 % SZS output end Proof for NUM479+1
% 86.37/76.83 % cvc5---1.0.5 exiting
% 86.37/76.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------