TSTP Solution File: NUM471+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 10:44:13 EDT 2023
% Result : Theorem 35.72s 35.99s
% Output : Proof 35.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n022.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 10:17:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 35.72/35.99 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HgKUE3AsxR/cvc5---1.0.5_27991.p...
% 35.72/35.99 ------- get file name : TPTP file name is NUM471+1
% 35.72/35.99 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27991.smt2...
% 35.72/35.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 35.72/35.99 --- Run --no-e-matching --full-saturate-quant at 5...
% 35.72/35.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 35.72/35.99 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 35.72/35.99 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 35.72/35.99 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.72/35.99 % SZS status Theorem for NUM471+1
% 35.72/35.99 % SZS output start Proof for NUM471+1
% 35.72/35.99 (
% 35.72/35.99 (let ((_let_1 (not (tptp.sdtlseqdt0 tptp.xp tptp.xq)))) (let ((_let_2 (tptp.sdtpldt0 tptp.xm tptp.xn))) (let ((_let_3 (tptp.sdtsldt0 _let_2 tptp.xl))) (let ((_let_4 (= tptp.xq _let_3))) (let ((_let_5 (tptp.sdtsldt0 tptp.xm tptp.xl))) (let ((_let_6 (= tptp.xp _let_5))) (let ((_let_7 (not (= tptp.xl tptp.sz00)))) (let ((_let_8 (tptp.doDivides0 tptp.xl _let_2))) (let ((_let_9 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_12 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_13 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_14 (and _let_13 _let_12 _let_11))) (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)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (not (= W0 tptp.sz00)) (tptp.sdtlseqdt0 W1 (tptp.sdtasdt0 W1 W0))))))) (let ((_let_18 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))))) (let ((_let_19 (forall ((W0 $$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_20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (let ((_let_2 (tptp.sdtpldt0 W0 W2))) (let ((_let_3 (tptp.sdtpldt0 W2 W1))) (let ((_let_4 (tptp.sdtpldt0 W2 W0))) (=> (tptp.aNaturalNumber0 W2) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))))))) (let ((_let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))))) (let ((_let_22 (forall ((W0 $$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 ((_let_23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))) (let ((_let_24 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_25 (forall ((W0 $$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))))))))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))))) (let ((_let_27 (forall ((W0 $$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_28 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))))) (let ((_let_29 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_30 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_31 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_32 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_33 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_34 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_35 (tptp.aNaturalNumber0 tptp.sz10))) (let ((_let_36 (and _let_35 (not (= tptp.sz10 tptp.sz00))))) (let ((_let_37 (tptp.aNaturalNumber0 tptp.sz00))) (let ((_let_38 (tptp.sdtpldt0 tptp.xm tptp.sz00))) (let ((_let_39 (= tptp.xm _let_38))) (let ((_let_40 (tptp.sdtasdt0 tptp.xl _let_5))) (let ((_let_41 (= tptp.xm _let_40))) (let ((_let_42 (tptp.sdtasdt0 _let_5 tptp.xl))) (let ((_let_43 (= _let_40 _let_42))) (let ((_let_44 (tptp.sdtasdt0 tptp.xl _let_3))) (let ((_let_45 (= _let_2 _let_44))) (let ((_let_46 (tptp.sdtasdt0 _let_3 tptp.xl))) (let ((_let_47 (= _let_44 _let_46))) (let ((_let_48 (tptp.sdtlseqdt0 _let_42 _let_46))) (let ((_let_49 (tptp.sdtlseqdt0 _let_38 _let_2))) (let ((_let_50 (tptp.sdtpldt0 tptp.sz00 tptp.xm))) (let ((_let_51 (= tptp.xm _let_50))) (let ((_let_52 (and _let_39 _let_51))) (let ((_let_53 (not _let_12))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((not (= (tptp.aNaturalNumber0 W0) false))))) (let ((_let_59 (1))) (let ((_let_60 (ASSUME :args (_let_14)))) (let ((_let_61 (AND_ELIM _let_60 :args _let_59))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 (not _let_54)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57)) _let_56 :args (_let_54 false _let_55)) :args (_let_52 false _let_12 false _let_54)))) (let ((_let_63 (not _let_52))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 0)) :args ((or _let_39 _let_63))) _let_62 :args (_let_39 false _let_52)))) (let ((_let_65 (tptp.aNaturalNumber0 _let_5))) (let ((_let_66 (and _let_65 _let_41))) (let ((_let_67 (not _let_9))) (let ((_let_68 (= tptp.sz00 tptp.xl))) (let ((_let_69 (not _let_13))) (let ((_let_70 (or _let_69 _let_53 _let_68 _let_67 _let_66))) (let ((_let_71 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1479 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1479) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1479))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1479)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 (0))) (let ((_let_75 (ASSUME :args (_let_10)))) (let ((_let_76 (AND_ELIM _let_75 :args _let_74))) (let ((_let_77 (AND_ELIM _let_60 :args _let_74))) (let ((_let_78 (SYMM (ASSUME :args (_let_7))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_68 _let_69 _let_53 _let_67 _let_66 (not _let_70)))) _let_78 _let_77 _let_61 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.xl tptp.xm _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_73))) _let_72 :args (_let_70 false _let_71)) :args (_let_66 true _let_68 false _let_13 false _let_12 false _let_9 false _let_70)))) (let ((_let_80 (not _let_66))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_41 _let_80))) _let_79 :args (_let_41 false _let_66)))) (let ((_let_82 (not _let_65))) (let ((_let_83 (or _let_69 _let_82 _let_43))) (let ((_let_84 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 0)) :args ((or _let_65 _let_80))) _let_79 :args (_let_65 false _let_66)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_69 _let_82 _let_43 (not _let_83)))) _let_77 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.xl _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_86)) _let_85 :args (_let_83 false _let_84)) :args (_let_43 false _let_13 false _let_65 false _let_83)))) (let ((_let_89 (tptp.aNaturalNumber0 _let_3))) (let ((_let_90 (and _let_89 _let_45))) (let ((_let_91 (not _let_8))) (let ((_let_92 (tptp.aNaturalNumber0 _let_2))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_69 _let_93 _let_68 _let_91 _let_90))) (let ((_let_95 (not _let_11))) (let ((_let_96 (or _let_53 _let_95 _let_92))) (let ((_let_97 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (AND_ELIM _let_60 :args (2)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_53 _let_95 _let_92 (not _let_96)))) _let_61 _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.xm tptp.xn QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_97))) _let_98 :args (_let_96 false _let_97)) :args (_let_92 false _let_12 false _let_11 false _let_96)))) (let ((_let_101 (AND_ELIM _let_75 :args _let_59))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_68 _let_69 _let_91 _let_93 _let_90 (not _let_94)))) _let_78 _let_77 _let_101 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.xl _let_2 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_73))) _let_72 :args (_let_94 false _let_71)) :args (_let_90 true _let_68 false _let_13 false _let_8 false _let_92 false _let_94)))) (let ((_let_103 (not _let_90))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 1)) :args ((or _let_45 _let_103))) _let_102 :args (_let_45 false _let_90)))) (let ((_let_105 (not _let_89))) (let ((_let_106 (or _let_69 _let_105 _let_47))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 0)) :args ((or _let_89 _let_103))) _let_102 :args (_let_89 false _let_90)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_69 _let_105 _let_47 (not _let_106)))) _let_77 _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.xl _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_86)) _let_85 :args (_let_106 false _let_84)) :args (_let_47 false _let_13 false _let_89 false _let_106)))) (let ((_let_109 (= _let_42 _let_46))) (let ((_let_110 (not _let_48))) (let ((_let_111 (tptp.sdtlseqdt0 _let_46 _let_42))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.aNaturalNumber0 _let_42))) (let ((_let_114 (not _let_113))) (let ((_let_115 (tptp.aNaturalNumber0 _let_46))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_114 _let_112 _let_110 _let_109))) (let ((_let_118 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W1 W0)) (= W0 W1))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 ((not (= (tptp.sdtlseqdt0 W0 W1) false))))) (let ((_let_122 (and _let_12 _let_43 _let_41))) (let ((_let_123 (ASSUME :args (_let_12)))) (let ((_let_124 (APPLY_UF tptp.aNaturalNumber0))) (let ((_let_125 (ASSUME :args (_let_41)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (ASSUME :args (_let_43)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (TRANS _let_128 _let_126))) (let ((_let_130 (and _let_92 _let_47 _let_45))) (let ((_let_131 (ASSUME :args (_let_92)))) (let ((_let_132 (ASSUME :args (_let_45)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (ASSUME :args (_let_47)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (TRANS _let_135 _let_133))) (let ((_let_137 (not _let_109))) (let ((_let_138 (and (not (= _let_40 _let_44)) (tptp.sdtlseqdt0 _let_44 _let_40) _let_137 _let_111))) (let ((_let_139 (tptp.sdtlseqdt0 _let_3 _let_5))) (let ((_let_140 (not _let_139))) (let ((_let_141 (= _let_5 _let_3))) (let ((_let_142 (or _let_69 _let_105 _let_82 _let_68 _let_141 _let_140 _let_138))) (let ((_let_143 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W2 W0))) (let ((_let_2 (tptp.sdtasdt0 W1 W0))) (let ((_let_3 (tptp.sdtasdt0 W0 W2))) (let ((_let_4 (tptp.sdtasdt0 W0 W1))) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= tptp.sz00 W0) (= W1 W2) (not (tptp.sdtlseqdt0 W1 W2)) (and (not (= _let_3 _let_4)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_1 _let_2)) (tptp.sdtlseqdt0 _let_2 _let_1)))))))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (_let_143))) (let ((_let_146 (tptp.sdtlseqdt0 _let_5 _let_3))) (let ((_let_147 (not _let_141))) (let ((_let_148 (and _let_147 _let_146))) (let ((_let_149 (or _let_105 _let_82 _let_139 _let_148))) (let ((_let_150 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not 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(tptp.sdtlseqdt0 _let_50 _let_600)))) (let ((_let_605 (tptp.sdtlseqdt0 tptp.sz00 tptp.sz10))) (let ((_let_606 (not _let_605))) (let ((_let_607 (or _let_165 _let_179 _let_190 _let_606 _let_53 _let_604))) (let ((_let_608 (and (not _let_190) _let_175))) (let ((_let_609 (or _let_165 _let_179 _let_605 _let_608))) (let ((_let_610 (not _let_608))) (let ((_let_611 (not _let_602))) (let ((_let_612 (not _let_601))) (let ((_let_613 (not _let_51))) (let ((_let_614 (not _let_39))) (let ((_let_615 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_48))))) (let ((_let_616 (REFL :args (_let_329)))) (let ((_let_617 (REFL :args (_let_337)))) (let ((_let_618 (REFL :args (_let_614)))) (let ((_let_619 (ASSUME :args (_let_110)))) (let ((_let_620 (FALSE_INTRO _let_619))) (let ((_let_621 (ASSUME :args (_let_595)))) (let ((_let_622 (REFL :args (tptp.xm)))) (let ((_let_623 (ASSUME :args (_let_601)))) (let ((_let_624 (SYMM _let_623))) (let ((_let_625 (ASSUME :args (_let_51)))) (let ((_let_626 (ASSUME :args (_let_39)))) (let ((_let_627 (SYMM _let_626))) (let ((_let_628 (ASSUME :args (_let_602)))) (let ((_let_629 (tptp.sdtlseqdt0 _let_3 _let_3))) (let ((_let_630 (or _let_105 _let_629))) (let ((_let_631 (and _let_89 (= tptp.xm _let_44)))) (let ((_let_632 (= _let_141 _let_631))) (let ((_let_633 (and _let_541 _let_164 _let_39))) (let ((_let_634 (ASSUME :args (_let_164)))) (let ((_let_635 (SYMM _let_634))) (let ((_let_636 (or _let_69 _let_53 _let_68 _let_67 _let_632))) (let ((_let_637 (and _let_164 _let_39))) (let ((_let_638 (_let_164 _let_39))) (let ((_let_639 (SYMM _let_627))) (let ((_let_640 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_637)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_634 _let_626) (SCOPE (CONG (TRANS _let_639 (CONG _let_622 (SYMM _let_635) :args _let_339)) _let_274 :args _let_466) :args _let_638)) :args _let_638)) :args (true _let_637)) :args ((or _let_171 _let_141 _let_614))) _let_64 (REORDERING (CNF_EQUIV_POS1 :args (_let_632)) :args ((or _let_147 _let_631 (not _let_632)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_636)) :args ((or _let_68 _let_69 _let_53 _let_67 _let_632 (not _let_636)))) _let_78 _let_77 _let_61 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.xl tptp.xm _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_73))) _let_72 :args (_let_636 false _let_71)) :args (_let_632 true _let_68 false _let_13 false _let_12 false _let_9 false _let_636)) (REORDERING (CNF_AND_POS :args (_let_631 0)) :args ((or _let_89 (not _let_631)))) (REORDERING (CNF_OR_POS :args (_let_630)) :args ((or _let_105 _let_629 (not _let_630)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_380 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_382)) :args _let_381)) _let_380 :args (_let_630 false _let_379)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_633)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_626 _let_634) (SCOPE 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_let_47 _let_43 _let_41 _let_45 _let_110 _let_49)) SB_LITERAL))) (CONG _let_618 _let_617 _let_479 _let_478 _let_616 _let_615 (REFL :args ((not _let_49))) :args _let_301)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_161 1)) :args ((or _let_49 (not _let_161)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_165 _let_53 _let_95 _let_164 _let_163 _let_161 (not _let_166)))) _let_398 _let_61 _let_99 _let_640 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_165 _let_95 _let_162 _let_172 (not _let_173)))) _let_398 _let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_172 1)) :args ((or _let_170 _let_174))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_165 _let_179 _let_95 _let_178 _let_175 _let_176 (not _let_180)))) _let_398 _let_221 _let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_597 1)) :args ((or _let_177 (not _let_597)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_598)) :args ((or _let_95 _let_164 _let_595 _let_597 (not _let_598)))) _let_99 _let_640 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_619 _let_127 _let_125 _let_625 _let_134 _let_132 _let_621 _let_623 _let_626 _let_628) :args (_let_39 _let_51 _let_595 _let_47 _let_43 _let_41 _let_45 _let_601 _let_110 _let_602)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_628)) (CONG (TRANS _let_627 _let_625) _let_624 :args _let_482) (CONG (TRANS (SYMM _let_625) (TRANS _let_345 _let_344)) (TRANS (SYMM _let_624) (CONG _let_622 (SYMM (SYMM _let_621)) :args _let_339) _let_331 (SYMM _let_135)) :args _let_482) _let_620)) :args (_let_110 _let_43 _let_41 _let_51 _let_47 _let_45 _let_595 _let_601 _let_39 _let_602)) :args ((not (and _let_39 _let_51 _let_595 _let_47 _let_43 _let_41 _let_45 _let_601 _let_110 _let_602)) SB_LITERAL))) (CONG _let_618 (REFL :args (_let_613)) (REFL :args (_let_596)) _let_617 _let_479 _let_478 _let_616 (REFL :args (_let_612)) _let_615 (REFL :args (_let_611)) :args _let_301)) :args ((or _let_596 _let_614 _let_613 _let_337 _let_336 _let_335 _let_329 _let_612 _let_48 _let_611))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_604 1)) :args ((or _let_602 (not _let_604)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_607)) :args ((or _let_190 _let_165 _let_179 _let_53 _let_606 _let_604 (not _let_607)))) _let_399 _let_398 _let_221 _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_609)) :args ((or _let_165 _let_179 _let_605 _let_608 (not _let_609)))) _let_398 _let_221 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_608 1)) :args ((or _let_175 _let_610))) _let_594 :args (_let_610 true _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.sz00 tptp.sz10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_152)) _let_151 :args (_let_609 false _let_150)) :args (_let_605 false _let_37 false _let_35 true _let_608 false _let_609)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_168 :args (tptp.sz00 tptp.sz10 tptp.xm QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_169))) _let_168 :args (_let_607 false _let_167)) :args (_let_604 true _let_190 false _let_37 false _let_35 false _let_12 false _let_605 false _let_607)) :args (_let_602 false _let_604)) _let_159 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_603)) :args ((or _let_179 _let_53 _let_601 (not _let_603)))) _let_221 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_524 :args (tptp.sz10 tptp.xm QUANTIFIERS_INST_CBQI_PROP)) :args _let_525)) _let_524 :args (_let_603 false _let_523)) :args (_let_601 false _let_35 false _let_12 false _let_603)) _let_108 _let_104 _let_88 _let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_51 _let_63))) _let_62 :args (_let_51 false _let_52)) _let_64 :args (_let_596 false _let_602 true _let_48 false _let_601 false _let_47 false _let_45 false _let_43 false _let_41 false _let_51 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_230)) :args _let_229)) _let_228 :args (_let_598 false _let_227)) :args (_let_597 false _let_11 true _let_164 true _let_595 false _let_598)) :args (_let_177 false _let_597)) _let_594 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (tptp.sz10 tptp.xn tptp.sz00 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sdtlseqdt0 W0 W2) true)) (not (= (tptp.sdtlseqdt0 W0 W1) false))))) :args (_let_181))) _let_182 :args (_let_180 false _let_181)) :args (_let_176 false _let_37 false _let_35 false _let_11 false _let_177 true _let_175 false _let_180)) :args (_let_174 true _let_170)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.sz00 tptp.xn QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.aNaturalNumber0 W0) false)) (not (= (tptp.aNaturalNumber0 W1) false))))) :args _let_152)) _let_151 :args (_let_173 false _let_150)) :args (_let_162 false _let_37 false _let_11 true _let_172 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (tptp.sz00 tptp.xn tptp.xm QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_169)) _let_168 :args (_let_166 false _let_167)) :args (_let_161 false _let_37 false _let_12 false _let_11 true _let_164 false _let_162 false _let_166)) :args (_let_49 false _let_161)) _let_159 _let_108 _let_104 _let_88 _let_81 _let_64 :args (false false _let_49 true _let_48 false _let_47 false _let_45 false _let_43 false _let_41 false _let_39)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) _let_37 _let_36 _let_34 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))) _let_33 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) _let_32 _let_31 (forall ((W0 $$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_30 _let_29 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) _let_28 _let_27 (forall ((W0 $$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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((W0 $$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))))) _let_14 _let_10 _let_7 _let_6 _let_4 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 35.72/36.00 )
% 35.72/36.00 % SZS output end Proof for NUM471+1
% 35.72/36.00 % cvc5---1.0.5 exiting
% 35.72/36.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------