TSTP Solution File: NUM478+1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM478+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 77.20s 77.43s
% Output   : Proof 77.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM478+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri Aug 25 17:47:38 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 77.20/77.43  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GimzOdDxKZ/cvc5---1.0.5_18133.p...
% 77.20/77.43  ------- get file name : TPTP file name is NUM478+1
% 77.20/77.43  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18133.smt2...
% 77.20/77.43  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 77.20/77.43  --- Run --no-e-matching --full-saturate-quant at 5...
% 77.20/77.43  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 77.20/77.43  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 77.20/77.43  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 77.20/77.43  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 77.20/77.43  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 77.20/77.43  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 77.20/77.43  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 77.20/77.43  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 77.20/77.43  --- Run --relevant-triggers --full-saturate-quant at 5...
% 77.20/77.43  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 77.20/77.43  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 77.20/77.43  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 77.20/77.43  % SZS status Theorem for NUM478+1
% 77.20/77.43  % SZS output start Proof for NUM478+1
% 77.20/77.43  (
% 77.20/77.43  (let ((_let_1 (tptp.sdtasdt0 tptp.xn tptp.xm))) (let ((_let_2 (tptp.sdtsldt0 tptp.xm tptp.xl))) (let ((_let_3 (tptp.sdtasdt0 tptp.xn _let_2))) (let ((_let_4 (= _let_3 (tptp.sdtsldt0 _let_1 tptp.xl)))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_7 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_8 (and (not (= tptp.xl tptp.sz00)) _let_7))) (let ((_let_9 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_10 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))))) (let ((_let_13 (forall ((W0 $$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_14 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))))) (let ((_let_15 (forall ((W0 $$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_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_18 (= tptp.sz00 tptp.xl))) (let ((_let_19 (tptp.sdtasdt0 tptp.xl _let_3))) (let ((_let_20 (tptp.aNaturalNumber0 _let_19))) (let ((_let_21 (= _let_3 (tptp.sdtsldt0 _let_19 tptp.xl)))) (let ((_let_22 (tptp.aNaturalNumber0 _let_3))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (tptp.doDivides0 tptp.xl _let_19))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_20))) (let ((_let_27 (not _let_10))) (let ((_let_28 (or _let_27 _let_26 _let_18 _let_25 _let_23))) (let ((_let_29 (0))) (let ((_let_30 (ASSUME :args (_let_11)))) (let ((_let_31 (AND_ELIM _let_30 :args _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (AND_ELIM _let_32 :args _let_29))) (let ((_let_34 (tptp.sdtasdt0 tptp.xn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (tptp.sdtasdt0 _let_34 tptp.xl))) (let ((_let_36 (= _let_35 (tptp.sdtasdt0 tptp.xl _let_34)))) (let ((_let_37 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xl))) (let ((_let_38 (= _let_35 (tptp.sdtasdt0 tptp.xn _let_37)))) (let ((_let_39 (tptp.sdtasdt0 tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (= _let_39 _let_37))) (let ((_let_41 (= _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (= tptp.xm _let_39))) (let ((_let_43 (tptp.aNaturalNumber0 _let_1))) (let ((_let_44 (tptp.aNaturalNumber0 _let_34))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_27 _let_36))) (let ((_let_47 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (tptp.sdtasdt0 tptp.xl _let_2))) (let ((_let_51 (= _let_39 _let_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (and _let_52 (not (= (tptp.sdtasdt0 _let_2 tptp.xl) _let_37))))) (let ((_let_54 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.aNaturalNumber0 _let_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_27 _let_18 _let_57 _let_55 _let_53 _let_41))) (let ((_let_59 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1218 $$unsorted) (BOUND_VARIABLE_1216 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1216)) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1218)) (and (not (= (tptp.sdtasdt0 W0 BOUND_VARIABLE_1216) (tptp.sdtasdt0 W0 BOUND_VARIABLE_1218))) (not (= (tptp.sdtasdt0 BOUND_VARIABLE_1216 W0) (tptp.sdtasdt0 BOUND_VARIABLE_1218 W0)))) (= BOUND_VARIABLE_1216 BOUND_VARIABLE_1218))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (not _let_53))) (let ((_let_62 (= tptp.xm _let_50))) (let ((_let_63 (and _let_56 _let_62))) (let ((_let_64 (not _let_7))) (let ((_let_65 (not _let_9))) (let ((_let_66 (or _let_27 _let_65 _let_18 _let_64 _let_63))) (let ((_let_67 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1505 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1505) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1505))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1505)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_67))) (let ((_let_70 (1))) (let ((_let_71 (AND_ELIM _let_32 :args _let_70))) (let ((_let_72 (AND_ELIM _let_30 :args _let_70))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_18 _let_27 _let_65 _let_64 _let_63 (not _let_66)))) _let_33 _let_31 _let_72 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.xl tptp.xm _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_69))) _let_68 :args (_let_66 false _let_67)) :args (_let_63 true _let_18 false _let_10 false _let_9 false _let_7 false _let_66)))) (let ((_let_74 (not _let_63))) (let ((_let_75 (not _let_42))) (let ((_let_76 (or _let_55 _let_75))) (let ((_let_77 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= tptp.xm (tptp.sdtasdt0 tptp.xl W2))))))) (let ((_let_78 (not _let_76))) (let ((_let_79 (not _let_77))) (let ((_let_80 (= _let_7 _let_79))) (let ((_let_81 (or _let_27 _let_65 _let_80))) (let ((_let_82 (forall ((W0 $$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_83 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_82))) (let ((_let_85 ((tptp.doDivides0 W0 W1)))) (let ((_let_86 (or))) (let ((_let_87 (_let_79))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_77))) (REFL :args (_let_78)) :args _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_64 _let_79 (not _let_80)))) _let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_27 _let_65 _let_80 (not _let_81)))) _let_31 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.xl tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_81 false _let_82)) :args (_let_80 false _let_10 false _let_9 false _let_81)) :args (_let_79 false _let_7 false _let_80)) :args (_let_78 true _let_77)))) (let ((_let_89 (REFL :args (_let_76)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 1)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_42))) :args _let_86)) :args ((or _let_42 _let_76))) _let_88 :args (_let_42 true _let_76)))) (let ((_let_91 (and _let_42 _let_62))) (let ((_let_92 (ASSUME :args (_let_62)))) (let ((_let_93 (ASSUME :args (_let_42)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_86)) :args ((or _let_54 _let_76))) _let_88 :args (_let_54 true _let_76)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 0)) :args ((or _let_56 _let_74))) _let_73 :args (_let_56 false _let_63)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_18 _let_27 _let_57 _let_55 _let_41 _let_53 (not _let_58)))) _let_33 _let_31 _let_96 _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 0)) :args ((or _let_52 _let_61))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_93) (SCOPE (TRANS _let_94 (SYMM (SYMM _let_92))) :args (_let_62 _let_42))) :args (_let_42 _let_62))) :args (true _let_91)) _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_62 _let_74))) _let_73 :args (_let_62 false _let_63)) :args (_let_51 false _let_42 false _let_62)) :args (_let_61 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_59)))) _let_60 :args (_let_58 false _let_59)) :args (_let_41 true _let_18 false _let_10 false _let_56 false _let_54 true _let_53 false _let_58)))) (let ((_let_98 (not _let_6))) (let ((_let_99 (or _let_98 _let_57 _let_22))) (let ((_let_100 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_104 (ASSUME :args (_let_6)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_57 _let_22 (not _let_99)))) _let_104 _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.xn _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_102)) _let_101 :args (_let_99 false _let_100)) :args (_let_22 false _let_6 false _let_56 false _let_99)))) (let ((_let_106 (and _let_22 _let_41))) (let ((_let_107 (_let_22 _let_41))) (let ((_let_108 (ASSUME :args (_let_22)))) (let ((_let_109 (APPLY_UF tptp.aNaturalNumber0))) (let ((_let_110 (APPLY_UF tptp.sdtasdt0))) (let ((_let_111 (ASSUME :args (_let_41)))) (let ((_let_112 (SYMM (SYMM _let_111)))) (let ((_let_113 (REFL :args (tptp.xn)))) (let ((_let_114 (CONG _let_113 (SYMM _let_112) :args _let_110))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_27 _let_45 _let_36 (not _let_46)))) _let_31 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_108 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG _let_114 :args _let_109) (TRUE_INTRO _let_108))) :args _let_107)) :args _let_107)) :args (true _let_106)) _let_105 _let_97 :args (_let_44 false _let_22 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_34 tptp.xl QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (_let_36 false _let_10 false _let_44 false _let_46)))) (let ((_let_116 (or _let_98 _let_55 _let_27 _let_38))) (let ((_let_117 (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_118 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_27 _let_98 _let_55 _let_38 (not _let_116)))) _let_31 _let_104 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.xn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xl QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) :args (_let_117))) _let_118 :args (_let_116 false _let_117)) :args (_let_38 false _let_10 false _let_6 false _let_54 false _let_116)))) (let ((_let_120 (or _let_27 _let_55 _let_40))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_27 _let_55 _let_40 (not _let_120)))) _let_31 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_49)) _let_48 :args (_let_120 false _let_47)) :args (_let_40 false _let_10 false _let_54 false _let_120)))) (let ((_let_122 (or _let_98 _let_65 _let_43))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_65 _let_98 _let_43 (not _let_122)))) _let_72 _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_102)) _let_101 :args (_let_122 false _let_100)) :args (_let_43 false _let_9 false _let_6 false _let_122)))) (let ((_let_124 (and _let_43 _let_42 _let_41 _let_40 _let_38 _let_36))) (let ((_let_125 (ASSUME :args (_let_43)))) (let ((_let_126 (ASSUME :args (_let_40)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (ASSUME :args (_let_38)))) (let ((_let_129 (SYMM (SYMM _let_128)))) (let ((_let_130 (ASSUME :args (_let_36)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (REFL :args (tptp.xl)))) (let ((_let_133 (TRANS (CONG _let_132 (CONG _let_113 _let_112 :args _let_110) :args _let_110) _let_131 _let_129 (CONG _let_113 (TRANS _let_127 _let_94) :args _let_110)))) (let ((_let_134 (tptp.doDivides0 tptp.xl _let_1))) (let ((_let_135 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= (tptp.sdtasdt0 tptp.xn tptp.xm) (tptp.sdtasdt0 tptp.xl W2))))))) (let ((_let_136 (not _let_135))) (let ((_let_137 (= _let_134 _let_136))) (let ((_let_138 (not _let_43))) (let ((_let_139 (or _let_27 _let_138 _let_137))) (let ((_let_140 (= _let_1 _let_19))) (let ((_let_141 (not _let_140))) (let ((_let_142 (not _let_22))) (let ((_let_143 (or _let_142 _let_141))) (let ((_let_144 (not _let_143))) (let ((_let_145 (not _let_36))) (let ((_let_146 (not _let_38))) (let ((_let_147 (not _let_40))) (let ((_let_148 (not _let_41))) (let ((_let_149 (and _let_42 _let_41 _let_40 _let_38 _let_36))) (let ((_let_150 (_let_135))) (let ((_let_151 (not _let_137))) (let ((_let_152 (_let_134))) (let ((_let_153 (and _let_42 _let_134 _let_41 _let_40 _let_38 _let_36))) (let ((_let_154 (ASSUME :args _let_152))) (let ((_let_155 (not _let_23))) (let ((_let_156 (not _let_21))) (let ((_let_157 (ASSUME :args (_let_5)))) (let ((_let_158 (and _let_5 _let_42 _let_41 _let_40 _let_38 _let_36))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_18 _let_27 _let_26 _let_25 _let_23 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or _let_142 _let_21 _let_155))) _let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_158)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_157 _let_93 _let_126 _let_128 _let_130 _let_111) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_3)) (CONG _let_133 _let_132 :args (APPLY_UF tptp.sdtsldt0)) :args (=)) (FALSE_INTRO _let_157))) :args (_let_5 _let_42 _let_40 _let_38 _let_36 _let_41))) :args (_let_5 _let_42 _let_41 _let_40 _let_38 _let_36))) :args (true _let_158)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args (_let_75)) (REFL :args (_let_148)) (REFL :args (_let_147)) (REFL :args (_let_146)) (REFL :args (_let_145)) (REFL :args (_let_156)) :args _let_86)) _let_157 _let_90 _let_97 _let_121 _let_119 _let_115 :args (_let_156 true _let_4 false _let_42 false _let_41 false _let_40 false _let_38 false _let_36)) :args (_let_155 false _let_22 true _let_21)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_153)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_93 _let_126 _let_128 _let_130 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG _let_132 _let_133 :args (APPLY_UF tptp.doDivides0)) (TRUE_INTRO _let_154))) :args (_let_134 _let_42 _let_40 _let_38 _let_36 _let_41))) :args (_let_42 _let_134 _let_41 _let_40 _let_38 _let_36))) :args (true _let_153)) _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_137)) (CONG (REFL :args (_let_151)) (REFL :args _let_152) (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_135))) :args _let_86)) :args ((or _let_134 _let_135 _let_151))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_150) :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W2) false))))) :args _let_150)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_142 _let_141 _let_144))) _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_130 _let_128 _let_126 _let_93) (SCOPE (TRANS (CONG _let_113 (TRANS (SYMM _let_94) (SYMM _let_127)) :args _let_110) (SYMM _let_129) (SYMM _let_131) (CONG _let_132 _let_114 :args _let_110)) :args (_let_41 _let_36 _let_38 _let_40 _let_42))) :args (_let_42 _let_41 _let_40 _let_38 _let_36))) :args (true _let_149)) :args ((or _let_75 _let_148 _let_147 _let_140 _let_146 _let_145))) _let_90 _let_97 _let_121 _let_119 _let_115 :args (_let_140 false _let_42 false _let_41 false _let_40 false _let_38 false _let_36)) :args (_let_144 false _let_22 false _let_140)) :args (_let_136 true _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_27 _let_138 _let_137 (not _let_139)))) _let_31 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.xl _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_139 false _let_82)) :args (_let_137 false _let_10 false _let_43 false _let_139)) :args (_let_134 true _let_135 false _let_137)) _let_97 _let_121 _let_119 _let_115 :args (_let_24 false _let_42 false _let_134 false _let_41 false _let_40 false _let_38 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.xl _let_19 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_69))) _let_68 :args (_let_28 false _let_67)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_93 _let_126 _let_128 _let_130 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG _let_133 :args _let_109) (TRUE_INTRO _let_125))) :args (_let_43 _let_42 _let_40 _let_38 _let_36 _let_41))) :args (_let_43 _let_42 _let_41 _let_40 _let_38 _let_36))) :args (true _let_124)) _let_123 _let_90 _let_97 _let_121 _let_119 _let_115 :args (_let_20 false _let_43 false _let_42 false _let_41 false _let_40 false _let_38 false _let_36)) _let_33 _let_31 :args (false true _let_23 false _let_24 false _let_28 false _let_20 true _let_18 false _let_10)) :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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) _let_17 (forall ((W0 $$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 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) _let_16 _let_15 (forall ((W0 $$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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) _let_14 (forall ((W0 $$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_13 _let_12 (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_11 _let_8 _let_6 _let_5 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 77.20/77.44  )
% 77.20/77.44  % SZS output end Proof for NUM478+1
% 77.20/77.44  % cvc5---1.0.5 exiting
% 77.20/77.44  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------