TSTP Solution File: RNG064+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG064+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 32.34s 32.56s
% Output : Proof 32.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : RNG064+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 02:04:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 32.34/32.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.E3Oquo8nP7/cvc5---1.0.5_4773.p...
% 32.34/32.56 ------- get file name : TPTP file name is RNG064+2
% 32.34/32.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4773.smt2...
% 32.34/32.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.34/32.56 --- Run --no-e-matching --full-saturate-quant at 5...
% 32.34/32.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.34/32.56 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.34/32.56 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.34/32.56 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.34/32.56 % SZS status Theorem for RNG064+2
% 32.34/32.56 % SZS output start Proof for RNG064+2
% 32.34/32.56 (
% 32.34/32.56 (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 (not (tptp.sdtlseqdt0 (tptp.sdtpldt0 tptp.xN tptp.xN) _let_3)))) (let ((_let_5 (tptp.smndt0 tptp.xS))) (let ((_let_6 (tptp.sdtpldt0 tptp.xR _let_5))) (let ((_let_7 (tptp.sdtasdt0 _let_6 _let_6))) (let ((_let_8 (tptp.sdtlseqdt0 tptp.sz0z00 _let_7))) (let ((_let_9 (tptp.sdtpldt0 (tptp.sdtpldt0 _let_7 tptp.xN) tptp.xN))) (let ((_let_10 (= _let_9 _let_3))) (let ((_let_11 (tptp.smndt0 tptp.xN))) (let ((_let_12 (tptp.sdtpldt0 _let_2 _let_11))) (let ((_let_13 (= _let_7 (tptp.sdtpldt0 _let_12 (tptp.sdtpldt0 _let_1 _let_11))))) (let ((_let_14 (= _let_7 (tptp.sdtpldt0 _let_12 (tptp.sdtpldt0 _let_11 _let_1))))) (let ((_let_15 (= (tptp.sdtasdt0 _let_5 _let_5) _let_1))) (let ((_let_16 (tptp.sdtasdt0 _let_5 tptp.xR))) (let ((_let_17 (tptp.sdtasdt0 tptp.xR _let_5))) (let ((_let_18 (and (= _let_17 _let_11) (= _let_16 _let_11) _let_15))) (let ((_let_19 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN))) (let ((_let_20 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) (let ((_let_21 (and (tptp.aScalar0 tptp.xN) _let_20))) (let ((_let_22 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) (let ((_let_23 (and (tptp.aScalar0 tptp.xS) _let_22))) (let ((_let_24 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) (let ((_let_25 (and (tptp.aScalar0 tptp.xP) _let_24))) (let ((_let_26 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) (let ((_let_27 (and (tptp.aScalar0 tptp.xR) _let_26))) (let ((_let_28 (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) (let ((_let_29 (and (tptp.aScalar0 tptp.xH) _let_28))) (let ((_let_30 (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) (let ((_let_31 (and (tptp.aScalar0 tptp.xG) _let_30))) (let ((_let_32 (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) (let ((_let_33 (and (tptp.aScalar0 tptp.xF) _let_32))) (let ((_let_34 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) (let ((_let_35 (and (tptp.aScalar0 tptp.xE) _let_34))) (let ((_let_36 (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) (let ((_let_37 (and (tptp.aScalar0 tptp.xD) _let_36))) (let ((_let_38 (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) (let ((_let_39 (and (tptp.aScalar0 tptp.xC) _let_38))) (let ((_let_40 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_41 (tptp.sdtlbdtrb0 tptp.xt _let_40))) (let ((_let_42 (and (tptp.aScalar0 tptp.xB) (= tptp.xB _let_41)))) (let ((_let_43 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_44 (tptp.sdtlbdtrb0 tptp.xs _let_43))) (let ((_let_45 (and (tptp.aScalar0 tptp.xA) (= tptp.xA _let_44)))) (let ((_let_46 (tptp.sziznziztdt0 tptp.xt))) (let ((_let_47 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) _let_40) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xq W0) (tptp.sdtlbdtrb0 tptp.xt W0)))) (= tptp.xq _let_46)))) (let ((_let_48 (tptp.sziznziztdt0 tptp.xs))) (let ((_let_49 (= tptp.xp _let_48))) (let ((_let_50 (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)))) (let ((_let_51 (tptp.aVector0 tptp.xp))) (let ((_let_52 (and _let_51 (= _let_50 _let_43) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xp W0) (tptp.sdtlbdtrb0 tptp.xs W0)))) _let_49))) (let ((_let_53 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_54 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))) (let ((_let_55 (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_56 (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_57 (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_58 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_59 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) (let ((_let_60 (forall ((W0 $$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_61 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 _let_1) tptp.sz0z00) (= (tptp.sdtpldt0 _let_1 W0) tptp.sz0z00) (= (tptp.smndt0 _let_1) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))))) (let ((_let_62 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_63 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_64 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_65 (tptp.aScalar0 tptp.sz0z00))) (let ((_let_66 (tptp.sdtasdt0 (tptp.sdtasdt0 _let_44 _let_44) (tptp.sdtasasdt0 _let_46 _let_46)))) (let ((_let_67 (tptp.sdtasdt0 _let_41 _let_41))) (let ((_let_68 (tptp.sdtasasdt0 _let_48 _let_48))) (let ((_let_69 (tptp.sdtasdt0 _let_68 _let_67))) (let ((_let_70 (tptp.sdtasdt0 _let_69 _let_66))) (let ((_let_71 (tptp.smndt0 _let_70))) (let ((_let_72 (tptp.sdtasdt0 _let_66 _let_66))) (let ((_let_73 (tptp.sdtpldt0 _let_72 _let_71))) (let ((_let_74 (tptp.sdtasdt0 _let_69 _let_69))) (let ((_let_75 (tptp.sdtpldt0 _let_74 _let_71))) (let ((_let_76 (tptp.sdtpldt0 _let_75 _let_73))) (let ((_let_77 (tptp.smndt0 _let_66))) (let ((_let_78 (tptp.sdtpldt0 _let_69 _let_77))) (let ((_let_79 (tptp.sdtasdt0 _let_78 _let_78))) (let ((_let_80 (= _let_79 _let_76))) (let ((_let_81 (tptp.sdtpldt0 _let_79 _let_70))) (let ((_let_82 (tptp.sdtpldt0 _let_81 _let_70))) (let ((_let_83 (tptp.sdtpldt0 _let_74 _let_72))) (let ((_let_84 (= _let_83 _let_82))) (let ((_let_85 (tptp.sdtlseqdt0 tptp.sz0z00 _let_79))) (let ((_let_86 (tptp.sdtpldt0 _let_70 _let_70))) (let ((_let_87 (tptp.sdtlseqdt0 _let_86 _let_83))) (let ((_let_88 (= _let_70 (tptp.sdtpldt0 _let_70 tptp.sz0z00)))) (let ((_let_89 (tptp.sdtpldt0 tptp.sz0z00 _let_70))) (let ((_let_90 (= _let_70 _let_89))) (let ((_let_91 (= _let_76 (tptp.sdtpldt0 _let_74 (tptp.sdtpldt0 _let_71 _let_73))))) (let ((_let_92 (= _let_82 (tptp.sdtpldt0 _let_79 _let_86)))) (let ((_let_93 (tptp.sdtpldt0 _let_70 _let_79))) (let ((_let_94 (= _let_81 _let_93))) (let ((_let_95 (= _let_79 (tptp.sdtpldt0 _let_79 tptp.sz0z00)))) (let ((_let_96 (= (tptp.sdtpldt0 _let_93 _let_70) (tptp.sdtpldt0 _let_70 _let_81)))) (let ((_let_97 (tptp.sdtasdt0 (tptp.sdtasasdt0 _let_48 _let_46) (tptp.sdtasdt0 _let_44 _let_41)))) (let ((_let_98 (tptp.sdtasdt0 _let_97 _let_97))) (let ((_let_99 (= tptp.sz0z00 _let_98))) (let ((_let_100 (= _let_70 _let_98))) (let ((_let_101 (3))) (let ((_let_102 (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_103 (ASSUME :args (_let_52)))) (let ((_let_104 (AND_ELIM (EQ_RESOLVE _let_103 _let_102) :args _let_101))) (let ((_let_105 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) :args _let_101))) (let ((_let_106 (1))) (let ((_let_107 (AND_ELIM (ASSUME :args (_let_45)) :args _let_106))) (let ((_let_108 (ASSUME :args (_let_42)))) (let ((_let_109 (AND_ELIM _let_108 :args _let_106))) (let ((_let_110 (ASSUME :args (_let_39)))) (let ((_let_111 (EQ_RESOLVE (AND_ELIM _let_110 :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_109 _let_107 _let_105 _let_104) :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_37)) :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_35)) :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_33)) :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (ASSUME :args (_let_31)))) (let ((_let_116 (EQ_RESOLVE (AND_ELIM _let_115 :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_114 _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_29)) :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_116 _let_114 _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (ASSUME :args (_let_27)))) (let ((_let_119 (EQ_RESOLVE (AND_ELIM _let_118 :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_117 _let_116 _let_114 _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (ASSUME :args (_let_25)))) (let ((_let_121 (EQ_RESOLVE (AND_ELIM _let_120 :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_119 _let_117 _let_116 _let_114 _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (ASSUME :args (_let_23)))) (let ((_let_123 (EQ_RESOLVE (AND_ELIM _let_122 :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_121 _let_119 _let_117 _let_116 _let_114 _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (ASSUME :args (_let_21)))) (let ((_let_125 (AND_INTRO (EQ_RESOLVE (AND_ELIM _let_124 :args _let_106) (MACRO_SR_EQ_INTRO (AND_INTRO _let_123 _let_121 _let_119 _let_117 _let_116 _let_114 _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) _let_123 _let_121 _let_119 _let_117 _let_116 _let_114 _let_113 _let_112 _let_111 _let_109 _let_107 _let_105 _let_104))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO _let_125 :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_125 :args ((= _let_3 _let_9) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO _let_125 :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO _let_125 :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (tptp.smndt0 tptp.sz0z00))) (let ((_let_131 (= tptp.sz0z00 _let_130))) (let ((_let_132 (tptp.sdtpldt0 _let_71 _let_70))) (let ((_let_133 (= tptp.sz0z00 _let_132))) (let ((_let_134 (and _let_88 _let_90 (= tptp.sz0z00 (tptp.sdtasdt0 _let_70 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 _let_70)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_70 _let_71)) _let_133 (= _let_70 (tptp.smndt0 _let_71)) _let_131))) (let ((_let_135 (tptp.aScalar0 _let_70))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_134))) (let ((_let_138 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (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)) (= W0 (tptp.smndt0 _let_1)) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_61)) (MACRO_SR_EQ_INTRO :args (_let_61 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (_let_138))) (let ((_let_141 ((not (= (tptp.aScalar0 W0) false))))) (let ((_let_142 (EQ_RESOLVE _let_124 (MACRO_SR_EQ_INTRO _let_125 :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_136 _let_134 (not _let_137)))) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_70 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_137 false _let_138)) :args (_let_134 false _let_135 false _let_137)))) (let ((_let_144 (not _let_134))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_134 1)) :args ((or _let_90 _let_144))) _let_143 :args (_let_90 false _let_134)))) (let ((_let_146 (tptp.sdtasdt0 _let_74 _let_71))) (let ((_let_147 (= _let_146 (tptp.sdtasdt0 _let_71 _let_74)))) (let ((_let_148 (tptp.sdtpldt0 _let_71 _let_74))) (let ((_let_149 (= _let_75 _let_148))) (let ((_let_150 (and _let_91 _let_149 (= (tptp.sdtasdt0 _let_146 _let_73) (tptp.sdtasdt0 _let_74 (tptp.sdtasdt0 _let_71 _let_73))) _let_147))) (let ((_let_151 (tptp.aScalar0 _let_73))) (let ((_let_152 (not _let_151))) (let ((_let_153 (tptp.aScalar0 _let_71))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.aScalar0 _let_74))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_156 _let_154 _let_152 _let_150))) (let ((_let_158 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(TRANS _let_367 _let_350) :args _let_316) (TRUE_INTRO _let_365))) :args (_let_357 _let_90 _let_133 _let_99))) :args (_let_90 _let_133 _let_99 _let_357))) :args (true _let_364)) :args ((or _let_354 _let_363 _let_346 _let_362 (not _let_357)))) _let_145 _let_345 _let_353 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_360))) :args ((or _let_236 _let_136 _let_154 _let_359 _let_248 _let_357 (not _let_360)))) _let_307 _let_142 _let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_361)) :args ((or _let_136 _let_358 (not _let_361)))) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_276 :args (_let_70 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_278)) :args _let_277)) _let_276 :args (_let_361 false _let_275)) :args (_let_358 false _let_135 false _let_361)) _let_335 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_251 :args (tptp.sz0z00 _let_71 _let_70 _let_70 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_252)) _let_251 :args (_let_360 false _let_250)) :args (_let_357 false _let_65 false _let_135 false _let_153 false _let_358 false _let_247 false _let_360)) :args (_let_354 false _let_90 false _let_133 false _let_99 false _let_357)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_239 :args (_let_98 _let_70 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_241)) :args _let_240))) _let_239 :args (_let_356 false _let_238)) :args (_let_100 false _let_135 false _let_245 false _let_234 false _let_354 false _let_356)) _let_353 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_228 0)) :args ((or _let_96 (not _let_228)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_229))) :args ((or _let_136 _let_191 _let_228 (not _let_229)))) _let_142 _let_222 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_70 _let_79 _let_70 QUANTIFIERS_INST_E_MATCHING _let_161)) :args _let_160))) _let_159 :args (_let_229 false _let_158)) :args (_let_228 false _let_135 false _let_190 false _let_229)) :args (_let_96 false _let_228)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_226 0)) :args ((or _let_95 (not _let_226)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_191 _let_226 (not _let_227)))) _let_222 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_227 false _let_138)) :args (_let_226 false _let_190 false _let_227)) :args (_let_95 false _let_226)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_189 1)) :args ((or _let_94 _let_224))) _let_223 :args (_let_94 false _let_189)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_189 0)) :args ((or _let_92 _let_224))) _let_223 :args (_let_92 false _let_189)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_150 0)) :args ((or _let_91 (not _let_150)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_156 _let_154 _let_152 _let_150 (not _let_157)))) _let_185 _let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_154 _let_151 _let_163 (not _let_164)))) _let_180 _let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_72 _let_71 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_167)) _let_166 :args (_let_164 false _let_165)) :args (_let_151 false _let_153 false _let_162 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_74 _let_71 _let_73 QUANTIFIERS_INST_E_MATCHING _let_161)) :args _let_160)) _let_159 :args (_let_157 false _let_158)) :args (_let_150 false _let_155 false _let_153 false _let_151 false _let_157)) :args (_let_91 false _let_150)) _let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_134 0)) :args ((or _let_88 _let_144))) _let_143 :args (_let_88 false _let_134)) _let_129 _let_128 _let_127 _let_126 :args (false false _let_100 false _let_99 false _let_96 false _let_95 false _let_94 false _let_92 false _let_91 false _let_90 false _let_88 true _let_87 false _let_85 false _let_84 false _let_80)) :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 $$unsorted)) (=> (tptp.aScalar0 W0) true)) _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 (forall ((W0 $$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_59 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) _let_58 _let_57 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) _let_56 _let_55 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1)))))) _let_54 (forall ((W0 $$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_53 (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_43 _let_40) (not (= _let_43 tptp.sz00)) _let_52 _let_47 _let_45 _let_42 _let_39 _let_37 _let_35 _let_33 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)) _let_19 _let_18 _let_14 _let_13 (= _let_7 (tptp.sdtpldt0 (tptp.sdtpldt0 _let_3 _let_11) _let_11)) _let_10 _let_8 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.41/32.57 )
% 32.41/32.57 % SZS output end Proof for RNG064+2
% 32.41/32.57 % cvc5---1.0.5 exiting
% 32.41/32.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------