TSTP Solution File: NUM524+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM524+3 : 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 10:44:45 EDT 2023
% Result : Theorem 20.51s 20.75s
% Output : Proof 20.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM524+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 10:25:51 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 20.51/20.75 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.eX6ufKy9bu/cvc5---1.0.5_5529.p...
% 20.51/20.75 ------- get file name : TPTP file name is NUM524+3
% 20.51/20.75 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5529.smt2...
% 20.51/20.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.51/20.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.51/20.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.51/20.75 % SZS status Theorem for NUM524+3
% 20.51/20.75 % SZS output start Proof for NUM524+3
% 20.51/20.75 (
% 20.51/20.75 (let ((_let_1 (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 tptp.xq tptp.xq)))) (let ((_let_2 (tptp.sdtasdt0 tptp.xm tptp.xm))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.sdtasdt0 tptp.xp tptp.xq))) (let ((_let_6 (tptp.aNaturalNumber0 tptp.xq))) (let ((_let_7 (and _let_6 (= tptp.xn _let_5) (= tptp.xq (tptp.sdtsldt0 tptp.xn tptp.xp))))) (let ((_let_8 (tptp.doDivides0 tptp.xp tptp.xn))) (let ((_let_9 (tptp.sdtasdt0 tptp.xn tptp.xn))) (let ((_let_10 (tptp.doDivides0 tptp.xp _let_9))) (let ((_let_11 (and (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtasdt0 tptp.xn tptp.xn) (tptp.sdtasdt0 tptp.xp W0)))) _let_10 (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= tptp.xn (tptp.sdtasdt0 tptp.xp W0)))) _let_8))) (let ((_let_12 (and (not (= tptp.xp tptp.sz10)) (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xp (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xp))) (or (= W0 tptp.sz10) (= W0 tptp.xp)))) (tptp.isPrime0 tptp.xp)))) (let ((_let_13 (tptp.sdtasdt0 tptp.xp _let_2))) (let ((_let_14 (= _let_13 _let_9))) (let ((_let_15 (tptp.aNaturalNumber0 tptp.xp))) (let ((_let_16 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_17 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_18 (and _let_17 _let_16 _let_15 (not (= tptp.xn tptp.sz00)) (not (= tptp.xm tptp.sz00)) (not (= tptp.xp tptp.sz00))))) (let ((_let_19 (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0) (tptp.isPrime0 W1))))))) (let ((_let_20 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.isPrime0 W0) (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0)))))))))) (let ((_let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtasdt0 W2 (tptp.sdtsldt0 W1 W0)) (tptp.sdtsldt0 (tptp.sdtasdt0 W2 W1) W0))))))))) (let ((_let_22 (forall ((W0 $$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_23 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))))) (let ((_let_24 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_25 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_28 (tptp.aNaturalNumber0 tptp.sz10))) (let ((_let_29 (and _let_28 (not (= tptp.sz10 tptp.sz00))))) (let ((_let_30 (tptp.aNaturalNumber0 tptp.sz00))) (let ((_let_31 (tptp.sdtasdt0 _let_5 _let_5))) (let ((_let_32 (= _let_13 _let_31))) (let ((_let_33 (tptp.sdtsldt0 _let_5 tptp.xp))) (let ((_let_34 (= tptp.xq _let_33))) (let ((_let_35 (= tptp.sz10 (tptp.sdtasdt0 tptp.sz10 tptp.sz10)))) (let ((_let_36 (= _let_2 (tptp.sdtasdt0 _let_2 tptp.sz10)))) (let ((_let_37 (= _let_1 (tptp.sdtasdt0 _let_5 tptp.xq)))) (let ((_let_38 (tptp.sdtasdt0 _let_2 tptp.xp))) (let ((_let_39 (= _let_13 _let_38))) (let ((_let_40 (= _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (tptp.sdtsldt0 tptp.xp tptp.xp))) (let ((_let_42 (= tptp.sz10 _let_41))) (let ((_let_43 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xp))) (let ((_let_44 (= (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41) (tptp.sdtsldt0 _let_43 tptp.xp)))) (let ((_let_45 (= (tptp.sdtsldt0 _let_31 tptp.xp) (tptp.sdtasdt0 _let_5 _let_33)))) (let ((_let_46 (1))) (let ((_let_47 (ASSUME :args (_let_7)))) (let ((_let_48 (AND_ELIM _let_47 :args _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO _let_48 :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (EQ_RESOLVE _let_47 (MACRO_SR_EQ_INTRO _let_48 :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (ASSUME :args (_let_4)))) (let ((_let_52 (not _let_28))) (let ((_let_53 (or _let_52 _let_35))) (let ((_let_54 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (0))) (let ((_let_58 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args _let_57))) (let ((_let_59 (and _let_36 (= _let_2 (tptp.sdtasdt0 tptp.sz10 _let_2))))) (let ((_let_60 (tptp.aNaturalNumber0 _let_2))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (not _let_16))) (let ((_let_64 (or _let_63 _let_63 _let_60))) (let ((_let_65 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (= tptp.sz00 tptp.xp))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_18)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_48 :args ((and _let_17 _let_16 _let_15 (not (= tptp.sz00 tptp.xn)) (not (= tptp.sz00 tptp.xm)) (not _let_67)) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_64))) :args ((or _let_63 _let_60 (not _let_64)))) (AND_ELIM _let_68 :args _let_46) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.xm tptp.xm QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_60 false _let_16 false _let_64)))) (let ((_let_70 (not _let_6))) (let ((_let_71 (not _let_15))) (let ((_let_72 (or _let_71 _let_70 _let_70 _let_37))) (let ((_let_73 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (AND_ELIM _let_68 :args (2)))) (let ((_let_76 (or _let_71 _let_61 _let_39))) (let ((_let_77 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (tptp.sdtasdt0 tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (= _let_13 _let_79))) (let ((_let_81 (not _let_80))) (let ((_let_82 (and _let_81 (not (= _let_38 _let_43))))) (let ((_let_83 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_71 _let_67 _let_84 _let_61 _let_82 _let_40))) (let ((_let_86 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1395 $$unsorted) (BOUND_VARIABLE_1393 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1393)) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1395)) (and (not (= (tptp.sdtasdt0 W0 BOUND_VARIABLE_1393) (tptp.sdtasdt0 W0 BOUND_VARIABLE_1395))) (not (= (tptp.sdtasdt0 BOUND_VARIABLE_1393 W0) (tptp.sdtasdt0 BOUND_VARIABLE_1395 W0)))) (= BOUND_VARIABLE_1393 BOUND_VARIABLE_1395))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (not _let_82))) (let ((_let_89 (= _let_31 _let_79))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_84 _let_90))) (let ((_let_92 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 tptp.xp tptp.xq))) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtasdt0 tptp.xp W0) (tptp.sdtasdt0 _let_1 _let_1)))))))) (let ((_let_93 (not _let_91))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_11)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_48 :args ((and (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtasdt0 tptp.xn tptp.xn) (tptp.sdtasdt0 tptp.xp W0)))))) _let_10 (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xn (tptp.sdtasdt0 tptp.xp W0)))))) _let_8) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_95 (or))) (let ((_let_96 (not _let_92))) (let ((_let_97 (_let_96))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97) (REWRITE :args ((=> _let_96 (not (or _let_84 (not (= _let_79 _let_31))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_92))) (REFL :args (_let_93)) :args _let_95)) (AND_ELIM _let_94 :args _let_57) :args (_let_93 true _let_92)))) (let ((_let_99 (REFL :args (_let_91)))) (let ((_let_100 (and _let_32 _let_89))) (let ((_let_101 (ASSUME :args (_let_89)))) (let ((_let_102 (SYMM _let_49))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_83))) :args _let_95)) :args ((or _let_83 _let_91))) _let_98 :args (_let_83 true _let_91)))) (let ((_let_104 (AND_ELIM _let_68 :args (5)))) (let ((_let_105 (= tptp.xp (tptp.sdtasdt0 tptp.xp tptp.sz10)))) (let ((_let_106 (and _let_28 _let_105))) (let ((_let_107 (= _let_106 _let_42))) (let ((_let_108 (tptp.doDivides0 tptp.xp tptp.xp))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_71 _let_71 _let_67 _let_109 _let_107))) (let ((_let_111 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1682 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1682) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1682))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1682)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (= tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_114 (tptp.doDivides0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.xp))) (let ((_let_115 (= tptp.sz10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_116 (not _let_114))) (let ((_let_117 (and (or (not _let_30) (not (= tptp.xp (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.sz00)))) _let_116))) (let ((_let_118 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117 _let_115 _let_113))) (let ((_let_121 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1946 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1946)) (not (= tptp.xp (tptp.sdtasdt0 W0 BOUND_VARIABLE_1946)))) (not (tptp.doDivides0 W0 tptp.xp))) (= tptp.sz10 W0) (= tptp.xp W0))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 (tptp.isPrime0 tptp.sz10))) (let ((_let_125 (tptp.isPrime0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_126 (not _let_115))) (let ((_let_127 (not _let_124))) (let ((_let_128 (or _let_52 _let_127))) (let ((_let_129 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.isPrime0 W0) (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1))))))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (not _let_125))) (let ((_let_132 (or _let_119 _let_116 _let_131))) (let ((_let_133 (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xp)) (not (tptp.isPrime0 W1)))))) (let ((_let_134 (not _let_132))) (let ((_let_135 (not _let_133))) (let ((_let_136 (= tptp.sz10 tptp.xp))) (let ((_let_137 (or _let_71 _let_67 _let_136 _let_135))) (let ((_let_138 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (= tptp.sz10 W0) (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (not (tptp.isPrime0 W1))))))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (_let_135))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_140)) :args _let_140)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_135) _let_133))) (REFL :args (_let_134)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_67 _let_136 _let_71 _let_135 (not _let_137)))) _let_104 (AND_ELIM _let_122 :args _let_57) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.xp QUANTIFIERS_INST_ENUM)) :args (_let_138))) _let_139 :args (_let_137 false _let_138)) :args (_let_135 true _let_67 true _let_136 false _let_15 false _let_137)) :args (_let_134 true _let_133)))) (let ((_let_142 (REFL :args (_let_132)))) (let ((_let_143 (ASSUME :args (_let_127)))) (let ((_let_144 (ASSUME :args (_let_115)))) (let ((_let_145 (ASSUME :args (_let_125)))) (let ((_let_146 (not _let_117))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_132 1)) (CONG _let_142 (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_114))) :args _let_95)) :args ((or _let_114 _let_132))) _let_141 :args (_let_114 true _let_132)))) (let ((_let_148 (and _let_114 _let_113))) (let ((_let_149 (_let_114 _let_113))) (let ((_let_150 (ASSUME :args (_let_114)))) (let ((_let_151 (REFL :args (tptp.xp)))) (let ((_let_152 (ASSUME :args 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(tptp.sdtpldt0 W0 W2) W1)))))) (forall ((W0 $$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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1)))) (forall ((W0 $$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_22 (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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.doDivides0 W0 W1) (not (= W1 tptp.sz00))) (tptp.sdtlseqdt0 W0 W1)))) _let_21 _let_20 _let_19 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.isPrime0 W2) (tptp.doDivides0 W2 (tptp.sdtasdt0 W0 W1))) (or (tptp.doDivides0 W2 W0) (tptp.doDivides0 W2 W1))))) _let_18 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2) (not (= W0 tptp.sz00)) (not (= W1 tptp.sz00)) (not (= W2 tptp.sz00))) (=> (= (tptp.sdtasdt0 W2 (tptp.sdtasdt0 W1 W1)) (tptp.sdtasdt0 W0 W0)) (=> (tptp.iLess0 W0 tptp.xn) (not (or (and (not (= W2 tptp.sz10)) (forall ((W3 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W3) (exists ((W4 $$unsorted)) (and (tptp.aNaturalNumber0 W4) (= W2 (tptp.sdtasdt0 W3 W4)))) (tptp.doDivides0 W3 W2)) (or (= W3 tptp.sz10) (= W3 W2))))) (tptp.isPrime0 W2))))))) _let_14 _let_12 _let_11 _let_7 _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.51/20.76 )
% 20.51/20.76 % SZS output end Proof for NUM524+3
% 20.51/20.76 % cvc5---1.0.5 exiting
% 20.51/20.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------