TSTP Solution File: RNG065+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG065+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 13:49:47 EDT 2023
% Result : Theorem 32.15s 32.39s
% Output : Proof 32.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG065+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n010.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 : Sun Aug 27 02:06:04 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 32.15/32.39 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HbCieRKjFy/cvc5---1.0.5_14094.p...
% 32.15/32.39 ------- get file name : TPTP file name is RNG065+1
% 32.15/32.39 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14094.smt2...
% 32.15/32.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.15/32.39 --- Run --no-e-matching --full-saturate-quant at 5...
% 32.15/32.39 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.15/32.39 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.15/32.39 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.15/32.39 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.15/32.39 % SZS status Theorem for RNG065+1
% 32.15/32.39 % SZS output start Proof for RNG065+1
% 32.15/32.39 (
% 32.15/32.39 (let ((_let_1 (tptp.sdtasdt0 tptp.xS tptp.xS))) (let ((_let_2 (tptp.sdtasdt0 tptp.xR tptp.xR))) (let ((_let_3 (tptp.sdtpldt0 _let_2 _let_1))) (let ((_let_4 (tptp.sdtasdt0 tptp.xP tptp.xP))) (let ((_let_5 (not (tptp.sdtlseqdt0 (tptp.sdtpldt0 _let_4 _let_4) _let_3)))) (let ((_let_6 (tptp.smndt0 tptp.xS))) (let ((_let_7 (tptp.sdtpldt0 tptp.xR _let_6))) (let ((_let_8 (tptp.sdtasdt0 _let_7 _let_7))) (let ((_let_9 (tptp.smndt0 tptp.xN))) (let ((_let_10 (tptp.sdtpldt0 _let_2 _let_9))) (let ((_let_11 (= (tptp.sdtasdt0 _let_6 _let_6) _let_1))) (let ((_let_12 (tptp.sdtasdt0 _let_6 tptp.xR))) (let ((_let_13 (tptp.sdtasdt0 tptp.xR _let_6))) (let ((_let_14 (and (= _let_13 _let_9) (= _let_12 _let_9) _let_11))) (let ((_let_15 (tptp.sdtlseqdt0 _let_4 tptp.xN))) (let ((_let_16 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) (let ((_let_17 (and (tptp.aScalar0 tptp.xN) _let_16))) (let ((_let_18 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) (let ((_let_19 (and (tptp.aScalar0 tptp.xS) _let_18))) (let ((_let_20 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) (let ((_let_21 (and (tptp.aScalar0 tptp.xP) _let_20))) (let ((_let_22 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) (let ((_let_23 (and (tptp.aScalar0 tptp.xR) _let_22))) (let ((_let_24 (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) (let ((_let_25 (and (tptp.aScalar0 tptp.xH) _let_24))) (let ((_let_26 (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) (let ((_let_27 (and (tptp.aScalar0 tptp.xG) _let_26))) (let ((_let_28 (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) (let ((_let_29 (and (tptp.aScalar0 tptp.xF) _let_28))) (let ((_let_30 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) (let ((_let_31 (and (tptp.aScalar0 tptp.xE) _let_30))) (let ((_let_32 (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) (let ((_let_33 (and (tptp.aScalar0 tptp.xD) _let_32))) (let ((_let_34 (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) (let ((_let_35 (and (tptp.aScalar0 tptp.xC) _let_34))) (let ((_let_36 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_37 (tptp.sdtlbdtrb0 tptp.xt _let_36))) (let ((_let_38 (and (tptp.aScalar0 tptp.xB) (= tptp.xB _let_37)))) (let ((_let_39 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_40 (tptp.sdtlbdtrb0 tptp.xs _let_39))) (let ((_let_41 (and (tptp.aScalar0 tptp.xA) (= tptp.xA _let_40)))) (let ((_let_42 (tptp.sziznziztdt0 tptp.xt))) (let ((_let_43 (and (tptp.aVector0 tptp.xq) (= tptp.xq _let_42)))) (let ((_let_44 (tptp.sziznziztdt0 tptp.xs))) (let ((_let_45 (and (tptp.aVector0 tptp.xp) (= tptp.xp _let_44)))) (let ((_let_46 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_47 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))) (let ((_let_48 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 tptp.sz0z00 W2) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W3))))))) (let ((_let_49 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3))))))) (let ((_let_50 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))) (let ((_let_51 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_52 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))))) (let ((_let_54 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 _let_1) tptp.sz0z00) (= (tptp.sdtpldt0 _let_1 W0) tptp.sz0z00) (= (tptp.smndt0 _let_1) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))))) (let ((_let_55 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_56 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_57 (tptp.aScalar0 tptp.sz0z00))) (let ((_let_58 (tptp.sdtasdt0 (tptp.sdtasdt0 _let_40 _let_40) (tptp.sdtasasdt0 _let_42 _let_42)))) (let ((_let_59 (tptp.sdtasdt0 _let_58 _let_58))) (let ((_let_60 (tptp.sdtasdt0 _let_37 _let_37))) (let ((_let_61 (tptp.sdtasasdt0 _let_44 _let_44))) (let ((_let_62 (tptp.sdtasdt0 _let_61 _let_60))) (let ((_let_63 (tptp.sdtasdt0 _let_62 _let_62))) (let ((_let_64 (tptp.sdtasdt0 _let_40 _let_37))) (let ((_let_65 (tptp.sdtasasdt0 _let_44 _let_42))) (let ((_let_66 (tptp.sdtasdt0 _let_65 _let_64))) (let ((_let_67 (tptp.sdtasdt0 _let_66 _let_66))) (let ((_let_68 (tptp.sdtlseqdt0 (tptp.sdtpldt0 _let_67 _let_67) (tptp.sdtpldt0 _let_63 _let_59)))) (let ((_let_69 (tptp.sdtlseqdt0 _let_67 _let_59))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.sdtlseqdt0 _let_67 _let_63))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.aScalar0 _let_59))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.aScalar0 _let_67))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.aScalar0 _let_63))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_76 _let_78 _let_76 _let_74 _let_72 _let_70 _let_68))) (let ((_let_80 (1))) (let ((_let_81 (ASSUME :args (_let_45)))) (let ((_let_82 (AND_ELIM _let_81 :args _let_80))) (let ((_let_83 (AND_ELIM (ASSUME :args (_let_43)) :args _let_80))) (let ((_let_84 (AND_ELIM (ASSUME :args (_let_41)) :args _let_80))) (let ((_let_85 (ASSUME :args (_let_38)))) (let ((_let_86 (AND_ELIM _let_85 :args _let_80))) (let ((_let_87 (ASSUME :args (_let_35)))) (let ((_let_88 (EQ_RESOLVE (AND_ELIM _let_87 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_86 _let_84 _let_83 _let_82) :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_33)) :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (ASSUME :args (_let_31)))) (let ((_let_91 (EQ_RESOLVE (AND_ELIM _let_90 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_29)) :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (ASSUME :args (_let_27)))) (let ((_let_94 (EQ_RESOLVE (AND_ELIM _let_93 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_92 _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (ASSUME :args (_let_25)))) (let ((_let_96 (EQ_RESOLVE (AND_ELIM _let_95 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_94 _let_92 _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (ASSUME :args (_let_23)))) (let ((_let_98 (EQ_RESOLVE (AND_ELIM _let_97 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_96 _let_94 _let_92 _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (ASSUME :args (_let_21)))) (let ((_let_100 (EQ_RESOLVE (AND_ELIM _let_99 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_98 _let_96 _let_94 _let_92 _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (ASSUME :args (_let_19)))) (let ((_let_102 (EQ_RESOLVE (AND_ELIM _let_101 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_100 _let_98 _let_96 _let_94 _let_92 _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (ASSUME :args (_let_17)))) (let ((_let_104 (AND_INTRO (EQ_RESOLVE (AND_ELIM _let_103 :args _let_80) (MACRO_SR_EQ_INTRO (AND_INTRO _let_102 _let_100 _let_98 _let_96 _let_94 _let_92 _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82) :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) _let_102 _let_100 _let_98 _let_96 _let_94 _let_92 _let_91 _let_89 _let_88 _let_86 _let_84 _let_83 _let_82))) (let ((_let_105 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (not (tptp.aScalar0 W3)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3)))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 (tptp.aScalar0 _let_58))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_109 _let_73))) (let ((_let_111 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_56)) (MACRO_SR_EQ_INTRO :args (_let_56 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 (EQ_RESOLVE _let_101 (MACRO_SR_EQ_INTRO _let_104 :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (tptp.aScalar0 _let_66))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_116 _let_75))) (let ((_let_118 (EQ_RESOLVE _let_99 (MACRO_SR_EQ_INTRO _let_104 :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_117))) :args ((or _let_116 _let_75 (not _let_117)))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_66 _let_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)) _let_112 :args (_let_117 false _let_111)) :args (_let_75 false _let_115 false _let_117)))) (let ((_let_120 (tptp.aScalar0 _let_62))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_121 _let_77))) (let ((_let_123 (EQ_RESOLVE _let_97 (MACRO_SR_EQ_INTRO _let_104 :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (= tptp.sz0z00 _let_67))) (let ((_let_125 (tptp.sdtlseqdt0 tptp.sz0z00 _let_63))) (let ((_let_126 (tptp.sdtlseqdt0 _let_67 tptp.sz0z00))) (let ((_let_127 (not _let_126))) (let ((_let_128 (tptp.sdtlseqdt0 tptp.sz0z00 _let_67))) (let ((_let_129 (not _let_128))) (let ((_let_130 (not _let_57))) (let ((_let_131 (or _let_130 _let_76 _let_129 _let_127 _let_124))) (let ((_let_132 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W1 W0)) (= W0 W1))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (tptp.sdtasdt0 _let_62 _let_58))) (let ((_let_135 (tptp.smndt0 _let_134))) (let ((_let_136 (tptp.sdtpldt0 _let_135 _let_134))) (let ((_let_137 (tptp.sdtpldt0 tptp.sz0z00 _let_67))) (let ((_let_138 (tptp.sdtlseqdt0 _let_137 _let_136))) (let ((_let_139 (= _let_67 _let_137))) (let ((_let_140 (= tptp.sz0z00 _let_136))) (let ((_let_141 (tptp.sdtlseqdt0 _let_67 _let_134))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.sdtlseqdt0 tptp.sz0z00 _let_135))) (let 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tptp.sz0z00 tptp.sz0z00))) (let ((_let_165 (not _let_164))) (let ((_let_166 (tptp.sdtlseqdt0 _let_150 _let_150))) (let ((_let_167 (not _let_166))) (let ((_let_168 (tptp.aScalar0 _let_150))) (let ((_let_169 (not _let_168))) (let ((_let_170 (or _let_169 _let_169 _let_130 _let_121 _let_167 _let_165 _let_163 _let_153))) (let ((_let_171 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (not (tptp.aScalar0 W3)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 tptp.sz0z00 W2)) (not (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W3)))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (_let_171))) (let ((_let_174 (or _let_169 _let_166))) (let ((_let_175 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_176 (EQ_RESOLVE (ASSUME 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(tptp.sdtpldt0 _let_65 (tptp.sdtpldt0 _let_64 _let_66))) (= _let_264 (tptp.sdtpldt0 _let_64 _let_65)) _let_262 (= _let_66 (tptp.sdtasdt0 _let_64 _let_65))))) (let ((_let_266 (tptp.aScalar0 _let_64))) (let ((_let_267 (not _let_266))) (let ((_let_268 (tptp.aScalar0 _let_65))) (let ((_let_269 (not _let_268))) (let ((_let_270 (or _let_269 _let_267 _let_116 _let_265))) (let ((_let_271 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))))) (let ((_let_272 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_273 (and _let_262 _let_261 _let_124))) (let ((_let_274 (ASSUME :args (_let_261)))) (let ((_let_275 (REFL :args (_let_59)))) (let ((_let_276 (ASSUME :args (_let_262)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_79))) :args ((or _let_68 _let_78 _let_74 _let_76 _let_72 _let_70 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_273)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_274 _let_259 _let_276) (SCOPE (TRUE_ELIM (TRANS (CONG _let_276 _let_275 :args _let_222) (CONG (TRANS (SYMM _let_276) _let_260) _let_275 :args _let_222) (TRUE_INTRO _let_274))) :args (_let_261 _let_124 _let_262))) :args (_let_262 _let_261 _let_124))) :args (true _let_273)) :args ((or _let_69 (not _let_262) (not _let_261) _let_255))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_265 2)) :args ((or _let_262 (not _let_265)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_269 _let_267 _let_116 _let_265 (not _let_270)))) (EQ_RESOLVE _let_90 (MACRO_SR_EQ_INTRO _let_104 :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE _let_95 (MACRO_SR_EQ_INTRO _let_104 :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_272 :args (_let_65 _let_64 _let_66 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) :args (_let_271))) _let_272 :args (_let_270 false _let_271)) :args (_let_265 false _let_268 false _let_266 false _let_115 false _let_270)) :args (_let_262 false _let_265)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_109 _let_261 (not _let_263)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_201)) _let_200 :args (_let_263 false _let_199)) :args (_let_261 false _let_108 false _let_263)) _let_253 :args (_let_69 false _let_262 false _let_261 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_256)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_258 _let_259) (SCOPE (TRUE_ELIM (TRANS (CONG _let_260 (REFL :args (_let_63)) :args _let_222) (TRUE_INTRO _let_258))) :args _let_257)) :args _let_257)) :args (true _let_256)) :args ((or _let_71 (not _let_125) _let_255))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_121 _let_125 (not _let_254)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_201)) _let_200 :args (_let_254 false _let_199)) :args (_let_125 false _let_120 false _let_254)) _let_253 :args (_let_71 false _let_125 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_122))) :args ((or _let_121 _let_77 (not _let_122)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_62 _let_62 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)) _let_112 :args (_let_122 false _let_111)) :args (_let_77 false _let_120 false _let_122)) _let_119 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_110))) :args ((or _let_109 _let_73 (not _let_110)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_58 _let_58 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)) _let_112 :args (_let_110 false _let_111)) :args (_let_73 false _let_108 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_67 _let_63 _let_67 _let_59 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3)) true))))) :args _let_107)) _let_106 :args (_let_79 false _let_105)) (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO _let_104 :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args (false false _let_69 false _let_71 false _let_77 false _let_75 false _let_73 false _let_79 true _let_68)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szszuzczcdt0 W0))) (=> (tptp.aNaturalNumber0 W0) (and (tptp.aNaturalNumber0 _let_1) (not (= _let_1 tptp.sz00)))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= W0 (tptp.szszuzczcdt0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) true)) _let_57 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))) _let_56 _let_55 _let_54 _let_53 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W2 W3)) (tptp.sdtpldt0 (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W0 W3)) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W2) (tptp.sdtasdt0 W1 W3)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) _let_1) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) _let_1))))) _let_52 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) _let_51 _let_50 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) _let_49 _let_48 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1)))))) _let_47 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1) (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aScalar0 (tptp.sdtlbdtrb0 W0 W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (=> (not (= (tptp.aDimensionOf0 W0) tptp.sz00)) (forall ((W1 $$unsorted)) (= (= W1 (tptp.sziznziztdt0 W0)) (and (tptp.aVector0 W1) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 W1)) (tptp.aDimensionOf0 W0)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtlbdtrb0 W1 W2) (tptp.sdtlbdtrb0 W0 W2)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.aDimensionOf0 W1))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) _let_1) (not (= _let_1 tptp.sz00))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 W0)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 W1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (tptp.aScalar0 (tptp.sdtasasdt0 W0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.aDimensionOf0 W1))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) _let_1) (= _let_1 tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.aDimensionOf0 W1))) (let ((_let_2 (tptp.aDimensionOf0 W0))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= _let_2 _let_1) (not (= _let_1 tptp.sz00))) (= (tptp.sdtasasdt0 W0 W1) (tptp.sdtpldt0 (tptp.sdtasasdt0 (tptp.sziznziztdt0 W0) (tptp.sziznziztdt0 W1)) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 W0 _let_2) (tptp.sdtlbdtrb0 W1 _let_1))))))))) _let_46 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt)) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.sdtasasdt0 W0 W1))) (let ((_let_2 (tptp.aDimensionOf0 W0))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= _let_2 (tptp.aDimensionOf0 W1)) (=> (tptp.iLess0 _let_2 (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 _let_1 _let_1) (tptp.sdtasdt0 (tptp.sdtasasdt0 W0 W0) (tptp.sdtasasdt0 W1 W1))))))))) (= _let_39 _let_36) (not (= _let_39 tptp.sz00)) _let_45 _let_43 _let_41 _let_38 _let_35 _let_33 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)) _let_15 _let_14 (= _let_8 (tptp.sdtpldt0 _let_10 (tptp.sdtpldt0 _let_9 _let_1))) (= _let_8 (tptp.sdtpldt0 _let_10 (tptp.sdtpldt0 _let_1 _let_9))) (= _let_8 (tptp.sdtpldt0 (tptp.sdtpldt0 _let_3 _let_9) _let_9)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 _let_8 tptp.xN) tptp.xN) _let_3) (tptp.sdtlseqdt0 tptp.sz0z00 _let_8) (tptp.sdtlseqdt0 (tptp.sdtpldt0 tptp.xN tptp.xN) _let_3) _let_5 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.15/32.40 )
% 32.15/32.40 % SZS output end Proof for RNG065+1
% 32.15/32.40 % cvc5---1.0.5 exiting
% 32.26/32.40 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------