TSTP Solution File: RNG065+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG065+2 : 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 13:49:47 EDT 2023
% Result : Theorem 31.96s 32.24s
% Output : Proof 31.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG065+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 01:57:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 31.96/32.24 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rtw4Y77ApF/cvc5---1.0.5_10155.p...
% 31.96/32.24 ------- get file name : TPTP file name is RNG065+2
% 31.96/32.24 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10155.smt2...
% 31.96/32.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 31.96/32.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 31.96/32.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 31.96/32.24 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 31.96/32.24 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 31.96/32.24 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 31.96/32.24 % SZS status Theorem for RNG065+2
% 31.96/32.24 % SZS output start Proof for RNG065+2
% 31.96/32.24 (
% 31.96/32.24 (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.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) _let_36) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xq W0) (tptp.sdtlbdtrb0 tptp.xt W0)))) (= tptp.xq _let_42)))) (let ((_let_44 (tptp.sziznziztdt0 tptp.xs))) (let ((_let_45 (= tptp.xp _let_44))) (let ((_let_46 (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)))) (let ((_let_47 (tptp.aVector0 tptp.xp))) (let ((_let_48 (and _let_47 (= _let_46 _let_39) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xp W0) (tptp.sdtlbdtrb0 tptp.xs W0)))) _let_45))) (let ((_let_49 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_50 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))) (let ((_let_51 (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_52 (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_53 (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_54 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_55 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) (let ((_let_56 (forall ((W0 $$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_57 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 _let_1) tptp.sz0z00) (= (tptp.sdtpldt0 _let_1 W0) tptp.sz0z00) (= (tptp.smndt0 _let_1) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))))) (let ((_let_58 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_59 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_60 (tptp.aScalar0 tptp.sz0z00))) (let ((_let_61 (tptp.sdtasdt0 (tptp.sdtasdt0 _let_40 _let_40) (tptp.sdtasasdt0 _let_42 _let_42)))) (let ((_let_62 (tptp.sdtasdt0 _let_61 _let_61))) (let ((_let_63 (tptp.sdtasdt0 _let_37 _let_37))) (let ((_let_64 (tptp.sdtasasdt0 _let_44 _let_44))) (let ((_let_65 (tptp.sdtasdt0 _let_64 _let_63))) (let ((_let_66 (tptp.sdtasdt0 _let_65 _let_65))) (let ((_let_67 (tptp.sdtasdt0 _let_40 _let_37))) (let ((_let_68 (tptp.sdtasasdt0 _let_44 _let_42))) (let ((_let_69 (tptp.sdtasdt0 _let_68 _let_67))) (let ((_let_70 (tptp.sdtasdt0 _let_69 _let_69))) (let ((_let_71 (tptp.sdtlseqdt0 (tptp.sdtpldt0 _let_70 _let_70) (tptp.sdtpldt0 _let_66 _let_62)))) (let ((_let_72 (tptp.sdtlseqdt0 _let_70 _let_62))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.sdtlseqdt0 _let_70 _let_66))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.aScalar0 _let_62))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.aScalar0 _let_70))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.aScalar0 _let_66))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_79 _let_81 _let_79 _let_77 _let_75 _let_73 _let_71))) (let ((_let_83 (3))) (let ((_let_84 (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_85 (ASSUME :args (_let_48)))) (let ((_let_86 (AND_ELIM (EQ_RESOLVE _let_85 _let_84) :args _let_83))) (let ((_let_87 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args _let_83))) (let ((_let_88 (1))) (let ((_let_89 (AND_ELIM (ASSUME :args (_let_41)) :args _let_88))) (let ((_let_90 (ASSUME :args (_let_38)))) (let ((_let_91 (AND_ELIM _let_90 :args _let_88))) (let ((_let_92 (ASSUME :args (_let_35)))) (let ((_let_93 (EQ_RESOLVE (AND_ELIM _let_92 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_91 _let_89 _let_87 _let_86) :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_33)) :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (ASSUME :args (_let_31)))) (let ((_let_96 (EQ_RESOLVE (AND_ELIM _let_95 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_29)) :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (ASSUME :args (_let_27)))) (let ((_let_99 (EQ_RESOLVE (AND_ELIM _let_98 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_97 _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (ASSUME :args (_let_25)))) (let ((_let_101 (EQ_RESOLVE (AND_ELIM _let_100 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_99 _let_97 _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (ASSUME :args (_let_23)))) (let ((_let_103 (EQ_RESOLVE (AND_ELIM _let_102 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_101 _let_99 _let_97 _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (ASSUME :args (_let_21)))) (let ((_let_105 (EQ_RESOLVE (AND_ELIM _let_104 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_103 _let_101 _let_99 _let_97 _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (ASSUME :args (_let_19)))) (let ((_let_107 (EQ_RESOLVE (AND_ELIM _let_106 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_105 _let_103 _let_101 _let_99 _let_97 _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (ASSUME :args (_let_17)))) (let ((_let_109 (AND_INTRO (EQ_RESOLVE (AND_ELIM _let_108 :args _let_88) (MACRO_SR_EQ_INTRO (AND_INTRO _let_107 _let_105 _let_103 _let_101 _let_99 _let_97 _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86) :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) _let_107 _let_105 _let_103 _let_101 _let_99 _let_97 _let_96 _let_94 _let_93 _let_91 _let_89 _let_87 _let_86))) (let ((_let_110 (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_111 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_110))) (let ((_let_113 (tptp.aScalar0 _let_61))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_114 _let_76))) (let ((_let_116 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_59)) (MACRO_SR_EQ_INTRO :args (_let_59 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (EQ_RESOLVE _let_106 (MACRO_SR_EQ_INTRO _let_109 :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (tptp.aScalar0 _let_69))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_121 _let_78))) (let ((_let_123 (EQ_RESOLVE _let_104 (MACRO_SR_EQ_INTRO _let_109 :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_122))) :args ((or _let_121 _let_78 (not _let_122)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_69 _let_69 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_117 :args (_let_122 false _let_116)) :args (_let_78 false _let_120 false _let_122)))) (let ((_let_125 (tptp.aScalar0 _let_65))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_126 _let_80))) (let ((_let_128 (EQ_RESOLVE _let_102 (MACRO_SR_EQ_INTRO _let_109 :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (= tptp.sz0z00 _let_70))) (let ((_let_130 (tptp.sdtlseqdt0 tptp.sz0z00 _let_62))) (let ((_let_131 (tptp.sdtlseqdt0 _let_70 tptp.sz0z00))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.sdtlseqdt0 tptp.sz0z00 _let_70))) (let ((_let_134 (not _let_133))) (let ((_let_135 (not _let_60))) (let ((_let_136 (or _let_135 _let_79 _let_134 _let_132 _let_129))) (let ((_let_137 (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_138 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (tptp.sdtasdt0 _let_65 _let_61))) (let ((_let_140 (tptp.smndt0 _let_139))) (let ((_let_141 (tptp.sdtpldt0 _let_140 _let_139))) (let ((_let_142 (tptp.sdtpldt0 tptp.sz0z00 _let_70))) (let ((_let_143 (tptp.sdtlseqdt0 _let_142 _let_141))) (let ((_let_144 (= _let_70 _let_142))) (let ((_let_145 (= tptp.sz0z00 _let_141))) (let ((_let_146 (tptp.sdtlseqdt0 _let_70 _let_139))) (let ((_let_147 (not _let_146))) (let ((_let_148 (tptp.sdtlseqdt0 tptp.sz0z00 _let_140))) (let ((_let_149 (not _let_148))) (let ((_let_150 (tptp.aScalar0 _let_139))) (let ((_let_151 (not _let_150))) (let ((_let_152 (tptp.aScalar0 _let_140))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_135 _let_153 _let_79 _let_151 _let_149 _let_147 _let_143))) (let ((_let_155 (tptp.smndt0 _let_61))) (let ((_let_156 (tptp.sdtasdt0 _let_155 _let_65))) (let ((_let_157 (tptp.sdtasdt0 _let_155 tptp.sz0z00))) (let ((_let_158 (tptp.sdtlseqdt0 _let_157 _let_156))) (let ((_let_159 (tptp.smndt0 tptp.sz0z00))) (let ((_let_160 (tptp.smndt0 _let_155))) (let ((_let_161 (= (tptp.sdtasdt0 _let_160 _let_159) _let_157))) (let ((_let_162 (= _let_61 _let_160))) (let ((_let_163 (= tptp.sz0z00 (tptp.sdtasdt0 _let_61 tptp.sz0z00)))) (let ((_let_164 (= tptp.sz0z00 _let_159))) (let ((_let_165 (= _let_140 _let_156))) (let ((_let_166 (= (tptp.sdtasdt0 _let_65 _let_155) _let_140))) (let ((_let_167 (tptp.sdtlseqdt0 tptp.sz0z00 _let_65))) (let ((_let_168 (not _let_167))) (let ((_let_169 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) (let ((_let_170 (not _let_169))) (let ((_let_171 (tptp.sdtlseqdt0 _let_155 _let_155))) (let ((_let_172 (not _let_171))) (let ((_let_173 (tptp.aScalar0 _let_155))) (let ((_let_174 (not _let_173))) (let ((_let_175 (or _let_174 _let_174 _let_135 _let_126 _let_172 _let_170 _let_168 _let_158))) (let ((_let_176 (forall ((W0 $$unsorted) (W1 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(INSTANTIATE _let_138 :args (tptp.sz0z00 _let_70 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sdtlseqdt0 W0 W1) false))))) :args (_let_137))) _let_138 :args (_let_136 false _let_137)) :args (_let_129 false _let_60 false _let_78 false _let_133 false _let_131 false _let_136)))) (let ((_let_260 (or _let_114 _let_130))) (let ((_let_261 (not _let_129))) (let ((_let_262 (and _let_130 _let_129))) (let ((_let_263 (_let_130 _let_129))) (let ((_let_264 (ASSUME :args (_let_130)))) (let ((_let_265 (ASSUME :args (_let_129)))) (let ((_let_266 (SYMM _let_265))) (let ((_let_267 (tptp.sdtlseqdt0 tptp.sz0z00 _let_66))) (let ((_let_268 (= _let_70 (tptp.sdtasdt0 _let_68 (tptp.sdtasdt0 _let_67 _let_69))))) (let ((_let_269 (or _let_126 _let_267))) (let ((_let_270 (tptp.sdtpldt0 _let_68 _let_67))) (let ((_let_271 (and (= (tptp.sdtpldt0 _let_270 _let_69) (tptp.sdtpldt0 _let_68 (tptp.sdtpldt0 _let_67 _let_69))) (= _let_270 (tptp.sdtpldt0 _let_67 _let_68)) _let_268 (= _let_69 (tptp.sdtasdt0 _let_67 _let_68))))) (let ((_let_272 (tptp.aScalar0 _let_67))) (let ((_let_273 (not _let_272))) (let ((_let_274 (tptp.aScalar0 _let_68))) (let ((_let_275 (not _let_274))) (let ((_let_276 (or _let_275 _let_273 _let_121 _let_271))) (let ((_let_277 (forall ((W0 $$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_278 (EQ_RESOLVE (ASSUME :args (_let_56)) (MACRO_SR_EQ_INTRO :args (_let_56 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_279 (and _let_268 _let_267 _let_129))) (let ((_let_280 (ASSUME :args (_let_267)))) (let ((_let_281 (REFL :args (_let_66)))) (let ((_let_282 (ASSUME :args (_let_268)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_82))) :args ((or _let_71 _let_81 _let_77 _let_79 _let_75 _let_73 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_279)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_280 _let_265 _let_282) (SCOPE (TRUE_ELIM (TRANS (CONG _let_282 _let_281 :args _let_228) (CONG (TRANS (SYMM _let_282) _let_266) _let_281 :args _let_228) (TRUE_INTRO _let_280))) :args (_let_267 _let_129 _let_268))) :args (_let_268 _let_267 _let_129))) :args (true _let_279)) :args ((or _let_74 (not _let_268) (not _let_267) _let_261))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_271 2)) :args ((or _let_268 (not _let_271)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_276)) :args ((or _let_275 _let_273 _let_121 _let_271 (not _let_276)))) (EQ_RESOLVE _let_95 (MACRO_SR_EQ_INTRO _let_109 :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE _let_100 (MACRO_SR_EQ_INTRO _let_109 :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_278 :args (_let_68 _let_67 _let_69 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) :args (_let_277))) _let_278 :args (_let_276 false _let_277)) :args (_let_271 false _let_274 false _let_272 false _let_120 false _let_276)) :args (_let_268 false _let_271)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_269)) :args ((or _let_126 _let_267 (not _let_269)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (_let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_269 false _let_204)) :args (_let_267 false _let_125 false _let_269)) _let_259 :args (_let_74 false _let_268 false _let_267 false _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_262)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_264 _let_265) (SCOPE (TRUE_ELIM (TRANS (CONG _let_266 (REFL :args (_let_62)) :args _let_228) (TRUE_INTRO _let_264))) :args _let_263)) :args _let_263)) :args (true _let_262)) :args ((or _let_72 (not _let_130) _let_261))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_260)) :args ((or _let_114 _let_130 (not _let_260)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (_let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_260 false _let_204)) :args (_let_130 false _let_113 false _let_260)) _let_259 :args (_let_72 false _let_130 false _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_127))) :args ((or _let_126 _let_80 (not _let_127)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_65 _let_65 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_117 :args (_let_127 false _let_116)) :args (_let_80 false _let_125 false _let_127)) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_115))) :args ((or _let_114 _let_76 (not _let_115)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_61 _let_61 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_117 :args (_let_115 false _let_116)) :args (_let_76 false _let_113 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_70 _let_66 _let_70 _let_62 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3)) true))))) :args _let_112)) _let_111 :args (_let_82 false _let_110)) (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO _let_109 :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args (false false _let_74 false _let_72 false _let_80 false _let_78 false _let_76 false _let_82 true _let_71)) :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_60 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))) _let_59 _let_58 _let_57 _let_56 (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 $$unsorted)) (let ((_let_1 (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) _let_1) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) _let_1))))) _let_55 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) _let_54 _let_53 (forall ((W0 $$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_52 _let_51 (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_50 (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 $$unsorted)) (let ((_let_1 (tptp.aDimensionOf0 W1))) (let ((_let_2 (tptp.aDimensionOf0 W0))) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= _let_2 _let_1) (not (= _let_1 tptp.sz00))) (= (tptp.sdtasasdt0 W0 W1) (tptp.sdtpldt0 (tptp.sdtasasdt0 (tptp.sziznziztdt0 W0) (tptp.sziznziztdt0 W1)) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 W0 _let_2) (tptp.sdtlbdtrb0 W1 _let_1))))))))) _let_49 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt)) (forall ((W0 $$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_48 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.96/32.25 )
% 31.96/32.25 % SZS output end Proof for RNG065+2
% 31.96/32.25 % cvc5---1.0.5 exiting
% 31.96/32.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------