TSTP Solution File: NUM490+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM490+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 10:44:25 EDT 2023

% Result   : Theorem 43.94s 44.29s
% Output   : Proof 43.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM490+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.34  % Computer : n028.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri Aug 25 09:19:51 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 43.94/44.29  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cNUGjXPQYO/cvc5---1.0.5_19613.p...
% 43.94/44.29  ------- get file name : TPTP file name is NUM490+1
% 43.94/44.29  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19613.smt2...
% 43.94/44.29  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 43.94/44.29  --- Run --no-e-matching --full-saturate-quant at 5...
% 43.94/44.29  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 43.94/44.29  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 43.94/44.29  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 43.94/44.29  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 43.94/44.29  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 43.94/44.29  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 43.94/44.29  % SZS status Theorem for NUM490+1
% 43.94/44.29  % SZS output start Proof for NUM490+1
% 43.94/44.29  (
% 43.94/44.29  (let ((_let_1 (tptp.sdtasdt0 tptp.xp tptp.xm))) (let ((_let_2 (tptp.sdtasdt0 tptp.xn tptp.xm))) (let ((_let_3 (tptp.sdtmndt0 _let_2 _let_1))) (let ((_let_4 (tptp.sdtasdt0 tptp.xr tptp.xm))) (let ((_let_5 (not (= _let_4 _let_3)))) (let ((_let_6 (= _let_2 (tptp.sdtpldt0 _let_1 _let_4)))) (let ((_let_7 (= tptp.xn (tptp.sdtpldt0 tptp.xp tptp.xr)))) (let ((_let_8 (tptp.sdtmndt0 tptp.xn tptp.xp))) (let ((_let_9 (= tptp.xr _let_8))) (let ((_let_10 (tptp.sdtlseqdt0 tptp.xp tptp.xn))) (let ((_let_11 (tptp.isPrime0 tptp.xp))) (let ((_let_12 (and _let_11 (tptp.doDivides0 tptp.xp _let_2)))) (let ((_let_13 (tptp.aNaturalNumber0 tptp.xp))) (let ((_let_14 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_15 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_16 (and _let_15 _let_14 _let_13))) (let ((_let_17 (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_18 (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_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 $$unsorted) (W2 $$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_21 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_22 (forall ((W0 $$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_23 (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))))))) (let ((_let_24 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_26 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 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.xp (tptp.sdtpldt0 tptp.sz00 tptp.xp)))) (let ((_let_29 (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00)))) (let ((_let_30 (tptp.sdtlseqdt0 _let_1 _let_1))) (let ((_let_31 (tptp.sdtlseqdt0 _let_1 tptp.xm))) (let ((_let_32 (= tptp.sz00 tptp.xm))) (let ((_let_33 (and (= tptp.xp (tptp.sdtpldt0 tptp.xp tptp.sz00)) _let_28))) (let ((_let_34 (not _let_13))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((not (= (tptp.aNaturalNumber0 W0) false))))) (let ((_let_40 (ASSUME :args (_let_16)))) (let ((_let_41 (AND_ELIM _let_40 :args (2)))) (let ((_let_42 (and _let_29 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp))))) (let ((_let_43 (or _let_34 _let_42))) (let ((_let_44 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (tptp.aNaturalNumber0 _let_1))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_30))) (let ((_let_49 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (not _let_14))) (let ((_let_52 (or _let_34 _let_51 _let_46))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_57 (AND_ELIM _let_40 :args (1)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_34 _let_46 (not _let_52)))) _let_57 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xp tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_52 false _let_53)) :args (_let_46 false _let_14 false _let_13 false _let_52)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_30 (not _let_48)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_30 false _let_46 false _let_48)))) (let ((_let_60 (tptp.sdtlseqdt0 _let_1 _let_2))) (let ((_let_61 (tptp.sdtlseqdt0 tptp.xm _let_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_31))) (let ((_let_64 (tptp.aNaturalNumber0 _let_2))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_47 _let_51 _let_65 _let_63 _let_62 _let_60))) (let ((_let_67 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (tptp.sdtasdt0 _let_8 tptp.xm))) (let ((_let_70 (= _let_2 (tptp.sdtpldt0 _let_1 _let_69)))) (let ((_let_71 (tptp.aNaturalNumber0 _let_69))) (let ((_let_72 (and _let_71 _let_70))) (let ((_let_73 (= _let_3 _let_69))) (let ((_let_74 (= _let_73 _let_72))) (let ((_let_75 (not _let_60))) (let ((_let_76 (or _let_47 _let_65 _let_75 _let_74))) (let ((_let_77 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1407 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.sdtlseqdt0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1407) (= W1 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1407))) (= (tptp.sdtmndt0 W1 W0) BOUND_VARIABLE_1407)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 (not _let_74))) (let ((_let_81 (tptp.aNaturalNumber0 _let_8))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_51 _let_71))) (let ((_let_84 (tptp.sdtpldt0 tptp.xp _let_8))) (let ((_let_85 (= tptp.xn _let_84))) (let ((_let_86 (and _let_81 _let_85))) (let ((_let_87 (not _let_10))) (let ((_let_88 (not _let_15))) (let ((_let_89 (or _let_34 _let_88 _let_87 _let_86))) (let ((_let_90 (ASSUME :args (_let_10)))) (let ((_let_91 (0))) (let ((_let_92 (AND_ELIM _let_40 :args _let_91))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_86 0)) :args ((or _let_81 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_34 _let_87 _let_86 (not _let_89)))) _let_92 _let_41 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.xp tptp.xn _let_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_79))) _let_78 :args (_let_89 false _let_77)) :args (_let_86 false _let_15 false _let_13 false _let_10 false _let_89)) :args (_let_81 false _let_86)))) (let ((_let_94 (ASSUME :args (_let_9)))) (let ((_let_95 (or _let_88 _let_51 _let_64))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_88 _let_51 _let_64 (not _let_95)))) _let_92 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_95 false _let_53)) :args (_let_64 false _let_15 false _let_14 false _let_95)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_47 _let_65 _let_75 _let_74 (not _let_76)))) _let_58 _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_74)) :args ((or _let_73 (not _let_72) _let_80))) (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO _let_94 :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_72)) :args ((or (not _let_70) (not _let_71) _let_72))) (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO _let_94 :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_51 _let_82 _let_71 (not _let_83)))) _let_57 _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_8 tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_83 false _let_53)) :args (_let_71 false _let_14 false _let_81 false _let_83)) :args (_let_72 false _let_70 false _let_71)) :args (_let_80 true _let_73 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_1 _let_2 _let_69 QUANTIFIERS_INST_E_MATCHING_MT ((not (= (tptp.aNaturalNumber0 W0) false)) (not (= (tptp.aNaturalNumber0 W1) false)) (tptp.aNaturalNumber0 BOUND_VARIABLE_1407)))) :args _let_79))) _let_78 :args (_let_76 false _let_77)) :args (_let_75 false _let_46 false _let_64 true _let_74 false _let_76)))) (let ((_let_98 (tptp.sdtasdt0 tptp.xm tptp.xn))) (let ((_let_99 (tptp.sdtlseqdt0 tptp.xm _let_98))) (let ((_let_100 (= _let_2 _let_98))) (let ((_let_101 (= tptp.sz00 tptp.xn))) (let ((_let_102 (or _let_88 _let_51 _let_101 _let_99))) (let ((_let_103 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (tptp.sdtlseqdt0 W1 (tptp.sdtasdt0 W1 W0)))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (= tptp.sz00 _let_84))) (let ((_let_106 (not _let_101))) (let ((_let_107 (= tptp.sz00 tptp.xp))) (let ((_let_108 (and _let_107 (= tptp.sz00 _let_8)))) (let ((_let_109 (not _let_105))) (let ((_let_110 (or _let_34 _let_82 _let_109 _let_108))) (let ((_let_111 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= tptp.sz00 (tptp.sdtpldt0 W0 W1))) (and (= tptp.sz00 W0) (= tptp.sz00 W1)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (not _let_108))) (let ((_let_114 (not _let_107))) (let ((_let_115 (and _let_114 (not (= tptp.sz10 tptp.xp)) (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xp)) (= tptp.sz10 W1) (= W1 tptp.xp)))))) (let ((_let_116 (= _let_11 _let_115))) (let ((_let_117 (or _let_34 _let_116))) (let ((_let_118 (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_119 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO _let_94 :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (not _let_85))) (let ((_let_122 (or))) (let ((_let_123 (and _let_85 _let_109))) (let ((_let_124 (ASSUME :args (_let_109)))) (let ((_let_125 (or _let_88 _let_51 _let_100))) (let ((_let_126 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (_let_126))) (let ((_let_129 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_88 _let_51 _let_100 (not _let_125)))) _let_92 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_128)) _let_127 :args (_let_125 false _let_126)) :args (_let_100 false _let_15 false _let_14 false _let_125)))) (let ((_let_131 (not _let_100))) (let ((_let_132 (and _let_100 _let_99))) (let ((_let_133 (ASSUME :args (_let_99)))) (let ((_let_134 (APPLY_UF tptp.sdtlseqdt0))) (let ((_let_135 (ASSUME :args (_let_100)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (REFL :args (tptp.xm)))) (let ((_let_138 (tptp.sdtasdt0 tptp.xm tptp.xp))) (let ((_let_139 (and (not (= _let_98 _let_138)) (tptp.sdtlseqdt0 _let_138 _let_98) (not (= _let_2 _let_1)) _let_60))) (let ((_let_140 (= tptp.xn tptp.xp))) (let ((_let_141 (or _let_51 _let_34 _let_88 _let_32 _let_140 _let_87 _let_139))) (let ((_let_142 (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_143 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (not _let_139))) (let ((_let_145 (= _let_1 _let_138))) (let ((_let_146 (= tptp.xm (tptp.sdtpldt0 tptp.sz00 tptp.xm)))) (let ((_let_147 (not _let_140))) (let ((_let_148 (or _let_34 _let_51 _let_145))) (let ((_let_149 (and (= tptp.xm (tptp.sdtpldt0 tptp.xm tptp.sz00)) _let_146))) (let ((_let_150 (or _let_51 _let_149))) (let ((_let_151 (not _let_30))) (let ((_let_152 (not _let_145))) (let ((_let_153 (not _let_146))) (let ((_let_154 (REFL :args (_let_151)))) (let ((_let_155 (ASSUME :args (_let_75)))) (let ((_let_156 (APPLY_UF tptp.sdtasdt0))) (let ((_let_157 (ASSUME :args (_let_140)))) (let ((_let_158 (ASSUME :args (_let_146)))) (let ((_let_159 (ASSUME :args (_let_145)))) (let ((_let_160 (REFL :args (_let_1)))) (let ((_let_161 (ASSUME :args (_let_30)))) (let ((_let_162 (SYMM (TRUE_INTRO _let_161)))) (let ((_let_163 (ASSUME :args (_let_63)))) (let ((_let_164 (ASSUME :args (_let_32)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (ASSUME :args (_let_29)))) (let ((_let_167 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_163 _let_164 _let_166 _let_167 _let_161) :args (_let_32 _let_28 _let_29 _let_63 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_162 (CONG _let_160 (TRANS (CONG _let_167 _let_137 :args _let_156) (CONG (SYMM _let_167) _let_165 :args _let_156) (SYMM _let_166)) :args _let_134) (CONG _let_160 (SYMM _let_165) :args _let_134) (FALSE_INTRO _let_163))) :args (_let_63 _let_32 _let_29 _let_28 _let_30)) :args ((not (and _let_32 _let_28 _let_29 _let_63 _let_30)) SB_LITERAL))) (CONG (REFL :args ((not _let_32))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_31))) _let_154 :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_88 _let_51 _let_34 _let_87 _let_32 _let_140 _let_139 (not _let_141)))) _let_92 _let_57 _let_41 _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_155 _let_135 _let_158 _let_157 _let_159 _let_161) :args (_let_146 _let_100 _let_145 _let_140 _let_75 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_162 (CONG _let_160 (TRANS (SYMM (SYMM _let_159)) (CONG _let_158 (REFL :args (tptp.xp)) :args _let_156) (CONG (SYMM _let_158) (SYMM _let_157) :args _let_156) _let_136) :args _let_134) (FALSE_INTRO _let_155))) :args (_let_75 _let_100 _let_146 _let_140 _let_145 _let_30)) :args ((not (and _let_146 _let_100 _let_145 _let_140 _let_75 _let_30)) SB_LITERAL))) (CONG (REFL :args (_let_153)) (REFL :args (_let_131)) (REFL :args (_let_152)) (REFL :args (_let_147)) (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_60))) _let_154 :args _let_122)) :args ((or _let_147 _let_153 _let_131 _let_152 _let_60 _let_151))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_149 1)) :args ((or _let_146 (not _let_149)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_51 _let_149 (not _let_150)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_150 false _let_36)) :args (_let_149 false _let_14 false _let_150)) :args (_let_146 false _let_149)) _let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_51 _let_34 _let_145 (not _let_148)))) _let_57 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.xp tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_128)) _let_127 :args (_let_148 false _let_126)) :args (_let_145 false _let_14 false _let_13 false _let_148)) _let_97 _let_59 :args (_let_147 false _let_146 false _let_100 false _let_145 true _let_60 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_139 3)) :args ((or _let_60 _let_144))) _let_97 :args (_let_144 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.xm tptp.xp tptp.xn QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_142)))) _let_143 :args (_let_141 false _let_142)) :args (_let_32 false _let_15 false _let_14 false _let_13 false _let_10 true _let_140 true _let_139 false _let_141)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_51 _let_47 _let_65 _let_63 _let_62 _let_60 (not _let_66)))) _let_57 _let_58 _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_132)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_133 _let_135) (SCOPE (TRUE_ELIM (TRANS (CONG _let_137 (SYMM _let_136) :args _let_134) (TRUE_INTRO _let_133))) :args (_let_99 _let_100))) :args (_let_100 _let_99))) :args (true _let_132)) :args ((or _let_131 _let_61 (not _let_99)))) _let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_88 _let_51 _let_101 _let_99 (not _let_102)))) _let_92 _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_123)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_120) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.sz00)) (SYMM (SYMM _let_120)) :args (=)) (FALSE_INTRO _let_124))) :args (_let_109 _let_85))) :args (_let_85 _let_109))) :args (true _let_123)) (CONG (REFL :args (_let_121)) (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_105))) (REFL :args (_let_106)) :args _let_122)) :args ((or _let_121 _let_106 _let_105))) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_34 _let_82 _let_109 _let_108 (not _let_110)))) _let_41 _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 0)) :args ((or _let_107 _let_113))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_115 0)) :args ((or _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or (not _let_11) _let_115 (not _let_116)))) (AND_ELIM (ASSUME :args (_let_12)) :args _let_91) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_34 _let_116 (not _let_117)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.xp QUANTIFIERS_INST_CBQI_PROP)) :args (_let_118)))) _let_119 :args (_let_117 false _let_118)) :args (_let_116 false _let_13 false _let_117)) :args (_let_115 false _let_11 false _let_116)) :args (_let_114 false _let_115)) :args (_let_113 true _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.xp _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_109 false _let_13 false _let_81 true _let_108 false _let_110)) :args (_let_106 false _let_85 true _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W1 W0)))) :args (_let_103))) _let_104 :args (_let_102 false _let_103)) :args (_let_99 false _let_15 false _let_14 true _let_101 false _let_102)) :args (_let_61 false _let_100 false _let_99)) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_1 tptp.xm _let_2 QUANTIFIERS_INST_E_MATCHING_MT ((not (= (tptp.aNaturalNumber0 W0) false)) (not (= (tptp.aNaturalNumber0 W1) false)) (not (= (tptp.aNaturalNumber0 W2) false))))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_63 false _let_14 false _let_46 false _let_64 false _let_61 true _let_60 false _let_66)) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_29 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_34 _let_42 (not _let_43)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_42 false _let_13 false _let_43)) :args (_let_29 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 1)) :args ((or _let_28 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 (not _let_35)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_35 false _let_36)) :args (_let_33 false _let_13 false _let_35)) :args (_let_28 false _let_33)) :args (false false _let_32 true _let_31 false _let_30 false _let_29 false _let_28)) :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_27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) _let_26 _let_25 (forall ((W0 $$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))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_24 (forall ((W0 $$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))))))) _let_23 (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 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))) _let_22 _let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) _let_20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (let ((_let_2 (tptp.sdtpldt0 W0 W2))) (let ((_let_3 (tptp.sdtpldt0 W2 W1))) (let ((_let_4 (tptp.sdtpldt0 W2 W0))) (=> (tptp.aNaturalNumber0 W2) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))))) _let_19 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))) _let_18 (forall ((W0 $$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))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))) (forall ((W0 $$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)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtasdt0 W2 (tptp.sdtsldt0 W1 W0)) (tptp.sdtsldt0 (tptp.sdtasdt0 W2 W1) W0))))))) _let_17 (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0) (tptp.isPrime0 W1))))) _let_16 (forall ((W0 $$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))) (=> (tptp.iLess0 (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 W2 W0) (tptp.doDivides0 W2 W1)))))) _let_12 _let_10 _let_9 (and (not (= tptp.xr tptp.xn)) (tptp.sdtlseqdt0 tptp.xr tptp.xn)) _let_7 _let_6 _let_5 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 43.94/44.30  )
% 43.94/44.30  % SZS output end Proof for NUM490+1
% 43.94/44.30  % cvc5---1.0.5 exiting
% 43.94/44.30  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------