TSTP Solution File: RNG064+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG064+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 20.17s 20.40s
% Output : Proof 20.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : RNG064+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 01:39:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 20.17/20.40 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KYnSu4oDIB/cvc5---1.0.5_13068.p...
% 20.17/20.40 ------- get file name : TPTP file name is RNG064+1
% 20.17/20.40 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13068.smt2...
% 20.17/20.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.17/20.40 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.17/20.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.17/20.40 % SZS status Theorem for RNG064+1
% 20.17/20.40 % SZS output start Proof for RNG064+1
% 20.17/20.40 (
% 20.17/20.40 (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.smndt0 tptp.xN))) (let ((_let_9 (tptp.sdtpldt0 _let_2 _let_8))) (let ((_let_10 (= (tptp.sdtasdt0 _let_5 _let_5) _let_1))) (let ((_let_11 (tptp.sdtasdt0 _let_5 tptp.xR))) (let ((_let_12 (tptp.sdtasdt0 tptp.xR _let_5))) (let ((_let_13 (and (= _let_12 _let_8) (= _let_11 _let_8) _let_10))) (let ((_let_14 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) (let ((_let_15 (and (tptp.aScalar0 tptp.xN) _let_14))) (let ((_let_16 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) (let ((_let_17 (and (tptp.aScalar0 tptp.xS) _let_16))) (let ((_let_18 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) (let ((_let_19 (and (tptp.aScalar0 tptp.xP) _let_18))) (let ((_let_20 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) (let ((_let_21 (and (tptp.aScalar0 tptp.xR) _let_20))) (let ((_let_22 (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) (let ((_let_23 (and (tptp.aScalar0 tptp.xH) _let_22))) (let ((_let_24 (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) (let ((_let_25 (and (tptp.aScalar0 tptp.xG) _let_24))) (let ((_let_26 (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) (let ((_let_27 (and (tptp.aScalar0 tptp.xF) _let_26))) (let ((_let_28 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) (let ((_let_29 (and (tptp.aScalar0 tptp.xE) _let_28))) (let ((_let_30 (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) (let ((_let_31 (and (tptp.aScalar0 tptp.xD) _let_30))) (let ((_let_32 (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) (let ((_let_33 (and (tptp.aScalar0 tptp.xC) _let_32))) (let ((_let_34 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_35 (tptp.sdtlbdtrb0 tptp.xt _let_34))) (let ((_let_36 (and (tptp.aScalar0 tptp.xB) (= tptp.xB _let_35)))) (let ((_let_37 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_38 (tptp.sdtlbdtrb0 tptp.xs _let_37))) (let ((_let_39 (and (tptp.aScalar0 tptp.xA) (= tptp.xA _let_38)))) (let ((_let_40 (tptp.sziznziztdt0 tptp.xt))) (let ((_let_41 (and (tptp.aVector0 tptp.xq) (= tptp.xq _let_40)))) (let ((_let_42 (tptp.sziznziztdt0 tptp.xs))) (let ((_let_43 (and (tptp.aVector0 tptp.xp) (= tptp.xp _let_42)))) (let ((_let_44 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_45 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1) (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 W1)))))) (let ((_let_46 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))) (let ((_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)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1)))))))) (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 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_51 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) (let ((_let_52 (forall ((W0 $$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_53 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_54 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_55 (tptp.aScalar0 tptp.sz0z00))) (let ((_let_56 (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_57 (tptp.sdtasasdt0 _let_42 _let_42))) (let ((_let_58 (tptp.sdtlseqdt0 tptp.sz0z00 _let_57))) (let ((_let_59 (tptp.aVector0 _let_42))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (tptp.sdtasdt0 _let_35 _let_35))) (let ((_let_65 (tptp.sdtasdt0 _let_57 _let_64))) (let ((_let_66 (tptp.sdtasdt0 tptp.sz0z00 _let_64))) (let ((_let_67 (tptp.sdtlseqdt0 _let_66 _let_65))) (let ((_let_68 (tptp.sdtlseqdt0 _let_64 _let_64))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.sdtlseqdt0 tptp.sz0z00 _let_64))) (let ((_let_71 (not _let_70))) (let ((_let_72 (not _let_58))) (let ((_let_73 (tptp.aScalar0 _let_64))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.aScalar0 _let_57))) (let ((_let_76 (not _let_75))) (let ((_let_77 (not _let_55))) (let ((_let_78 (or _let_77 _let_76 _let_74 _let_74 _let_72 _let_71 _let_69 _let_67))) (let ((_let_79 (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_80 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (_let_79))) (let ((_let_82 (= tptp.sz0z00 _let_66))) (let ((_let_83 (tptp.sdtlseqdt0 tptp.sz0z00 _let_65))) (let ((_let_84 (not _let_67))) (let ((_let_85 (tptp.smndt0 tptp.sz0z00))) (let ((_let_86 (= tptp.sz0z00 _let_85))) (let ((_let_87 (tptp.smndt0 _let_64))) (let ((_let_88 (and (= _let_64 (tptp.sdtpldt0 _let_64 tptp.sz0z00)) (= _let_64 (tptp.sdtpldt0 tptp.sz0z00 _let_64)) (= tptp.sz0z00 (tptp.sdtasdt0 _let_64 tptp.sz0z00)) _let_82 (= tptp.sz0z00 (tptp.sdtpldt0 _let_64 _let_87)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_87 _let_64)) (= _let_64 (tptp.smndt0 _let_87)) _let_86))) (let ((_let_89 (or _let_74 _let_88))) (let ((_let_90 (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_91 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 (_let_64 QUANTIFIERS_INST_ENUM))) (let ((_let_94 (1))) (let ((_let_95 (ASSUME :args (_let_43)))) (let ((_let_96 (AND_ELIM _let_95 :args _let_94))) (let ((_let_97 (ASSUME :args (_let_41)))) (let ((_let_98 (AND_ELIM _let_97 :args _let_94))) (let ((_let_99 (ASSUME :args (_let_39)))) (let ((_let_100 (AND_ELIM _let_99 :args _let_94))) (let ((_let_101 (ASSUME :args (_let_36)))) (let ((_let_102 (AND_ELIM _let_101 :args _let_94))) (let ((_let_103 (ASSUME :args (_let_33)))) (let ((_let_104 (EQ_RESOLVE (AND_ELIM _let_103 :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_102 _let_100 _let_98 _let_96) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (ASSUME :args (_let_31)))) (let ((_let_106 (EQ_RESOLVE (AND_ELIM _let_105 :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_29)) :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (ASSUME :args (_let_27)))) (let ((_let_109 (EQ_RESOLVE (AND_ELIM _let_108 :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (ASSUME :args (_let_25)))) (let ((_let_111 (EQ_RESOLVE (AND_ELIM _let_110 :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_109 _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_23)) :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_111 _let_109 _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (ASSUME :args (_let_21)))) (let ((_let_114 (EQ_RESOLVE (AND_ELIM _let_113 :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_112 _let_111 _let_109 _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_19)) :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_114 _let_112 _let_111 _let_109 _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (ASSUME :args (_let_17)))) (let ((_let_117 (EQ_RESOLVE (AND_ELIM _let_116 :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_115 _let_114 _let_112 _let_111 _let_109 _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (ASSUME :args (_let_15)))) (let ((_let_119 (AND_INTRO (EQ_RESOLVE (AND_ELIM _let_118 :args _let_94) (MACRO_SR_EQ_INTRO (AND_INTRO _let_117 _let_115 _let_114 _let_112 _let_111 _let_109 _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96) :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) _let_117 _let_115 _let_114 _let_112 _let_111 _let_109 _let_107 _let_106 _let_104 _let_102 _let_100 _let_98 _let_96))) (let ((_let_120 (EQ_RESOLVE _let_110 (MACRO_SR_EQ_INTRO _let_119 :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (tptp.sdtasasdt0 _let_40 _let_40))) (let ((_let_122 (tptp.sdtasdt0 _let_38 _let_38))) (let ((_let_123 (tptp.sdtasdt0 _let_122 _let_121))) (let ((_let_124 (tptp.smndt0 _let_123))) (let ((_let_125 (tptp.sdtasdt0 _let_124 _let_65))) (let ((_let_126 (tptp.sdtasdt0 _let_124 tptp.sz0z00))) (let ((_let_127 (tptp.sdtlseqdt0 _let_126 _let_125))) (let ((_let_128 (not _let_83))) (let ((_let_129 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.sdtlseqdt0 _let_124 _let_124))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.aScalar0 _let_65))) (let ((_let_134 (not _let_133))) (let ((_let_135 (tptp.aScalar0 _let_124))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_136 _let_77 _let_134 _let_132 _let_130 _let_128 _let_127))) (let ((_let_138 (= tptp.sz0z00 _let_126))) (let ((_let_139 (tptp.sdtasdt0 _let_65 _let_123))) (let ((_let_140 (tptp.smndt0 _let_139))) (let ((_let_141 (tptp.sdtlseqdt0 tptp.sz0z00 _let_140))) (let ((_let_142 (= _let_140 _let_125))) (let ((_let_143 (not _let_127))) (let ((_let_144 (tptp.smndt0 _let_124))) (let ((_let_145 (and (= _let_124 (tptp.sdtpldt0 _let_124 tptp.sz0z00)) (= _let_124 (tptp.sdtpldt0 tptp.sz0z00 _let_124)) _let_138 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 _let_124)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_124 _let_144)) (= tptp.sz0z00 (tptp.sdtpldt0 _let_144 _let_124)) (= _let_124 (tptp.smndt0 _let_144)) _let_86))) (let ((_let_146 (or _let_136 _let_145))) (let ((_let_147 (_let_124 QUANTIFIERS_INST_ENUM))) (let ((_let_148 (tptp.aScalar0 _let_123))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_135))) (let ((_let_151 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (_let_151))) (let ((_let_154 (EQ_RESOLVE _let_116 (MACRO_SR_EQ_INTRO _let_119 :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_149 _let_135 (not _let_150)))) _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_123 QUANTIFIERS_INST_CBQI_PROP)) :args _let_153)) _let_152 :args (_let_150 false _let_151)) :args (_let_135 false _let_148 false _let_150)))) (let ((_let_156 (= _let_139 _let_140))) (let ((_let_157 (= (tptp.sdtasdt0 _let_139 _let_139) (tptp.sdtasdt0 _let_140 _let_140)))) (let ((_let_158 (not _let_157))) (let ((_let_159 (not _let_141))) (let ((_let_160 (tptp.sdtlseqdt0 tptp.sz0z00 _let_139))) (let ((_let_161 (not _let_160))) (let ((_let_162 (tptp.aScalar0 _let_140))) (let ((_let_163 (not _let_162))) (let ((_let_164 (tptp.aScalar0 _let_139))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_165 _let_163 _let_161 _let_159 _let_158 _let_156))) (let ((_let_167 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.sdtlseqdt0 tptp.sz0z00 W0)) (not (tptp.sdtlseqdt0 tptp.sz0z00 W1)) (not (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 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(SYMM (FALSE_INTRO _let_251)) (CONG (TRANS (TRANS (CONG _let_258 (SYMM (SYMM _let_257)) :args (APPLY_UF tptp.sdtpldt0)) (SYMM _let_256) _let_242) (TRANS _let_243 (SYMM (SYMM _let_255)))) (REFL :args (_let_171)) :args _let_240) (TRUE_INTRO _let_254))) :args (_let_173 _let_177 _let_176 _let_174 _let_156 _let_253)) :args ((not (and _let_253 _let_177 _let_176 _let_174 _let_156 _let_173)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_253) _let_178))) (REFL :args ((not _let_177))) (REFL :args (_let_237)) (REFL :args ((not _let_174))) (REFL :args (_let_179)) (REFL :args ((not _let_173))) :args _let_252)) _let_251 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_231 0)) :args ((or _let_177 _let_234))) _let_233 :args (_let_177 false _let_231)) _let_235 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_247 4)) :args ((or _let_174 (not _let_247)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_165 _let_247 (not _let_248)))) _let_250 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_249) :args _let_92)) _let_91 :args (_let_248 false _let_90)) :args (_let_247 false _let_164 false _let_248)) :args (_let_174 false _let_247)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_188))) :args ((or _let_77 _let_183 _let_185 _let_181 _let_187 _let_173 (not _let_188)))) _let_229 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_245)) :args ((or _let_134 _let_182 (not _let_245)))) _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_217 :args _let_246) :args _let_218)) _let_217 :args (_let_245 false _let_216)) :args (_let_182 false _let_133 false _let_245)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_244))) :args ((or _let_149 _let_184 (not _let_244)))) _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_123 _let_123 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_194)) _let_193 :args (_let_244 false _let_192)) :args (_let_184 false _let_148 false _let_244)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_238)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_239 _let_242 _let_241) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.sz0z00)) _let_241 :args _let_240) (CONG (SYMM _let_243) (SYMM _let_241) :args _let_240) (TRUE_INTRO _let_239))) :args (_let_196 _let_176 _let_197))) :args (_let_197 _let_176 _let_196))) :args (true _let_238)) :args ((or (not _let_197) _let_237 _let_180 (not _let_196)))) (AND_ELIM _let_236 :args (2)) _let_235 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_200))) :args ((or _let_77 _let_149 _let_130 _let_199 _let_196 (not _let_200)))) _let_229 _let_154 _let_230 _let_223 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.sz0z00 _let_123 tptp.sz0z00 _let_123 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_80 :args (_let_200 false _let_79)) :args (_let_196 false _let_55 false _let_148 false _let_129 false _let_198 false _let_200)) :args (_let_180 false _let_197 false _let_176 false _let_196)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_191))) :args ((or _let_134 _let_186 (not _let_191)))) _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_65 _let_65 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_194)) _let_193 :args (_let_191 false _let_192)) :args (_let_186 false _let_133 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.sz0z00 _let_170 tptp.sz0z00 _let_169 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_189))) _let_190 :args (_let_188 false _let_189)) :args (_let_173 false _let_55 false _let_182 false _let_184 false _let_180 false _let_186 false _let_188)) :args (_let_179 true _let_178 false _let_177 false _let_176 false _let_174 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_139 _let_140 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_167))) _let_168 :args (_let_166 false _let_167)) :args (_let_159 false _let_164 false _let_160 false _let_162 false _let_157 true _let_156 false _let_166)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_145 2)) :args ((or _let_138 (not _let_145)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_136 _let_145 (not _let_146)))) _let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_147) :args _let_92)) _let_91 :args (_let_146 false _let_90)) :args (_let_145 false _let_135 false _let_146)) :args (_let_138 false _let_145)) :args (_let_143 false _let_142 true _let_141 false _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_124 _let_124 tptp.sz0z00 _let_65 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_80 :args (_let_137 false _let_79)) :args (_let_128 false _let_55 false _let_133 false _let_129 false _let_135 false _let_131 true _let_127 false _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_88 3)) :args ((or _let_82 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_74 _let_88 (not _let_89)))) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_93) :args _let_92)) _let_91 :args (_let_89 false _let_90)) :args (_let_88 false _let_73 false _let_89)) :args (_let_82 false _let_88)) :args (_let_84 true _let_83 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.sz0z00 _let_57 _let_64 _let_64 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_80 :args (_let_78 false _let_79)) :args (_let_72 false _let_55 false _let_75 false _let_73 false _let_70 false _let_68 true _let_67 false _let_78)) :args (_let_63 false _let_59 true _let_58)) _let_62 :args (false true _let_61 false _let_56)) :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_55 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))) _let_54 _let_53 _let_52 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W1))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 _let_2 W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= _let_2 (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 _let_1 W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= _let_1 (tptp.sdtasdt0 W1 W0))))))) (forall ((W0 $$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_51 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) _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)))) (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 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))) _let_47 _let_46 _let_45 (forall ((W0 $$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_44 (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_37 _let_34) (not (= _let_37 tptp.sz00)) _let_43 _let_41 _let_39 _let_36 _let_33 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 _let_15 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN) _let_13 (= _let_7 (tptp.sdtpldt0 _let_9 (tptp.sdtpldt0 _let_8 _let_1))) (= _let_7 (tptp.sdtpldt0 _let_9 (tptp.sdtpldt0 _let_1 _let_8))) (= _let_7 (tptp.sdtpldt0 (tptp.sdtpldt0 _let_3 _let_8) _let_8)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 _let_7 tptp.xN) tptp.xN) _let_3) (tptp.sdtlseqdt0 tptp.sz0z00 _let_7) _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.17/20.41 )
% 20.17/20.41 % SZS output end Proof for RNG064+1
% 20.17/20.41 % cvc5---1.0.5 exiting
% 20.17/20.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------