TSTP Solution File: RNG071+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG071+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 13:49:50 EDT 2023
% Result : Theorem 1.00s 1.22s
% Output : Proof 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG071+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n020.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 01:26:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 1.00/1.22 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KhU43ycNa1/cvc5---1.0.5_12263.p...
% 1.00/1.22 ------- get file name : TPTP file name is RNG071+1
% 1.00/1.22 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12263.smt2...
% 1.00/1.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.00/1.22 % SZS status Theorem for RNG071+1
% 1.00/1.22 % SZS output start Proof for RNG071+1
% 1.00/1.22 (
% 1.00/1.22 (let ((_let_1 (tptp.sdtpldt0 tptp.xP tptp.xP))) (let ((_let_2 (tptp.sdtlseqdt0 tptp.sz0z00 _let_1))) (let ((_let_3 (tptp.sdtpldt0 tptp.xR tptp.xS))) (let ((_let_4 (tptp.sdtlseqdt0 tptp.sz0z00 _let_3))) (let ((_let_5 (not (and _let_4 _let_2)))) (let ((_let_6 (tptp.sdtlseqdt0 _let_1 _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.sdtasdt0 tptp.xP tptp.xP))) (let ((_let_9 (tptp.sdtasdt0 tptp.xR tptp.xS))) (let ((_let_10 (tptp.sdtasdt0 tptp.xF tptp.xD))) (let ((_let_11 (= tptp.xS _let_10))) (let ((_let_12 (tptp.aScalar0 tptp.xS))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (tptp.sdtasdt0 tptp.xE tptp.xH))) (let ((_let_15 (= tptp.xP _let_14))) (let ((_let_16 (tptp.aScalar0 tptp.xP))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (tptp.sdtasdt0 tptp.xC tptp.xG))) (let ((_let_19 (= tptp.xR _let_18))) (let ((_let_20 (tptp.aScalar0 tptp.xR))) (let ((_let_21 (and _let_20 _let_19))) (let ((_let_22 (tptp.sdtasdt0 tptp.xB tptp.xB))) (let ((_let_23 (= tptp.xG _let_22))) (let ((_let_24 (tptp.aScalar0 tptp.xG))) (let ((_let_25 (and _let_24 _let_23))) (let ((_let_26 (tptp.sdtasdt0 tptp.xA tptp.xA))) (let ((_let_27 (= tptp.xF _let_26))) (let ((_let_28 (tptp.aScalar0 tptp.xF))) (let ((_let_29 (and _let_28 _let_27))) (let ((_let_30 (tptp.sdtasasdt0 tptp.xq tptp.xq))) (let ((_let_31 (= tptp.xD _let_30))) (let ((_let_32 (tptp.aScalar0 tptp.xD))) (let ((_let_33 (and _let_32 _let_31))) (let ((_let_34 (tptp.sdtasasdt0 tptp.xp tptp.xp))) (let ((_let_35 (= tptp.xC _let_34))) (let ((_let_36 (tptp.aScalar0 tptp.xC))) (let ((_let_37 (and _let_36 _let_35))) (let ((_let_38 (tptp.aDimensionOf0 tptp.xt))) (let ((_let_39 (tptp.aScalar0 tptp.xB))) (let ((_let_40 (and _let_39 (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt _let_38))))) (let ((_let_41 (tptp.aDimensionOf0 tptp.xs))) (let ((_let_42 (tptp.aScalar0 tptp.xA))) (let ((_let_43 (and _let_42 (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs _let_41))))) (let ((_let_44 (tptp.aVector0 tptp.xq))) (let ((_let_45 (and _let_44 (= tptp.xq (tptp.sziznziztdt0 tptp.xt))))) (let ((_let_46 (tptp.aVector0 tptp.xp))) (let ((_let_47 (and _let_46 (= tptp.xp (tptp.sziznziztdt0 tptp.xs))))) (let ((_let_48 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_49 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))) (let ((_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)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1)))))))) (let ((_let_51 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))))) (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 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 _let_1) tptp.sz0z00) (= (tptp.sdtpldt0 _let_1 W0) tptp.sz0z00) (= (tptp.smndt0 _let_1) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))))) (let ((_let_54 (tptp.aScalar0 tptp.sz0z00))) (let ((_let_55 (tptp.sdtlseqdt0 tptp.xP tptp.xS))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.sdtlseqdt0 tptp.xP tptp.xR))) (let ((_let_58 (not _let_57))) (let ((_let_59 (not _let_12))) (let ((_let_60 (not _let_16))) (let ((_let_61 (not _let_20))) (let ((_let_62 (or _let_60 _let_61 _let_60 _let_59 _let_58 _let_56 _let_6))) (let ((_let_63 (0))) (let ((_let_64 (ASSUME :args (_let_21)))) (let ((_let_65 (AND_ELIM _let_64 :args _let_63))) (let ((_let_66 (_let_17))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (AND_ELIM _let_67 :args _let_63))) (let ((_let_69 (ASSUME :args (_let_13)))) (let ((_let_70 (AND_ELIM _let_69 :args _let_63))) (let ((_let_71 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (not (tptp.aScalar0 W3)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((not (= (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3)) true))))) (let ((_let_75 (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (let ((_let_76 (tptp.sdtpldt0 tptp.sz0z00 tptp.xP))) (let ((_let_77 (tptp.sdtlseqdt0 _let_76 _let_75))) (let ((_let_78 (= tptp.xS _let_75))) (let ((_let_79 (= tptp.xP _let_76))) (let ((_let_80 (tptp.sdtlseqdt0 tptp.xP tptp.sz0z00))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xS))) (let ((_let_83 (not _let_82))) (let ((_let_84 (not _let_54))) (let ((_let_85 (or _let_84 _let_59 _let_60 _let_84 _let_83 _let_81 _let_77))) (let ((_let_86 (tptp.sdtlseqdt0 _let_14 tptp.sz0z00))) (let ((_let_87 (tptp.sdtlseqdt0 tptp.sz0z00 _let_14))) (let ((_let_88 (tptp.aScalar0 _let_14))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_84 _let_89 _let_87 _let_86))) (let ((_let_91 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (1))) (let ((_let_94 (AND_ELIM _let_67 :args _let_93))) (let ((_let_95 (_let_16 _let_15))) (let ((_let_96 (ASSUME :args (_let_16)))) (let ((_let_97 (ASSUME :args (_let_15)))) (let ((_let_98 (SYMM (SYMM _let_97)))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xP))) (let ((_let_101 (not _let_87))) (let ((_let_102 (and _let_2 (tptp.sdtlseqdt0 tptp.sz0z00 _let_8)))) (let ((_let_103 (not _let_100))) (let ((_let_104 (or _let_60 _let_60 _let_103 _let_103 _let_102))) (let ((_let_105 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.sdtlseqdt0 tptp.sz0z00 W0)) (not (tptp.sdtlseqdt0 tptp.sz0z00 W1)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1))))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_109 (not _let_102))) (let ((_let_110 (and _let_4 (tptp.sdtlseqdt0 tptp.sz0z00 _let_9)))) (let ((_let_111 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xR))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_61 _let_59 _let_112 _let_83 _let_110))) (let ((_let_114 (tptp.sdtlseqdt0 tptp.sz0z00 _let_10))) (let ((_let_115 (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 tptp.xF tptp.xD)) _let_114))) (let ((_let_116 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xD))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xF))) (let ((_let_119 (not _let_118))) (let ((_let_120 (not _let_32))) (let ((_let_121 (not _let_28))) (let ((_let_122 (or _let_121 _let_120 _let_119 _let_117 _let_115))) (let ((_let_123 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_124 (tptp.sdtlseqdt0 tptp.sz0z00 _let_26))) (let ((_let_125 (not _let_42))) (let ((_let_126 (or _let_125 _let_124))) (let ((_let_127 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 ((not (= (tptp.aScalar0 W0) false))))) (let ((_let_131 (ASSUME :args (_let_29)))) (let ((_let_132 (and _let_27 _let_124))) (let ((_let_133 (ASSUME :args (_let_124)))) (let ((_let_134 (APPLY_UF tptp.sdtlseqdt0))) (let ((_let_135 (ASSUME :args (_let_27)))) (let ((_let_136 (REFL :args (tptp.sz0z00)))) (let ((_let_137 (tptp.sdtlseqdt0 tptp.sz0z00 _let_30))) (let ((_let_138 (not _let_44))) (let ((_let_139 (or _let_138 _let_137))) (let ((_let_140 (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 ((not (= (tptp.aVector0 W0) false))))) (let ((_let_144 (ASSUME :args (_let_33)))) (let ((_let_145 (and _let_31 _let_137))) (let ((_let_146 (ASSUME :args (_let_137)))) (let ((_let_147 (ASSUME :args (_let_31)))) (let ((_let_148 (and _let_11 _let_114))) (let ((_let_149 (ASSUME :args (_let_114)))) (let ((_let_150 (ASSUME :args (_let_11)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_148)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_149 _let_150) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (SYMM (SYMM _let_150)) :args _let_134) (TRUE_INTRO _let_149))) :args (_let_114 _let_11))) :args (_let_11 _let_114))) :args (true _let_148)) :args ((or (not _let_11) _let_82 (not _let_114)))) (AND_ELIM _let_69 :args _let_93) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_115 1)) :args ((or _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_120 _let_121 _let_117 _let_119 _let_115 (not _let_122)))) (AND_ELIM _let_144 :args _let_63) (AND_ELIM _let_131 :args _let_63) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_145)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_146 _let_147) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (SYMM (SYMM _let_147)) :args _let_134) (TRUE_INTRO _let_146))) :args (_let_137 _let_31))) :args (_let_31 _let_137))) :args (true _let_145)) :args ((or (not _let_31) _let_116 (not _let_137)))) (AND_ELIM _let_144 :args _let_93) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_138 _let_137 (not _let_139)))) (AND_ELIM (ASSUME :args (_let_45)) :args _let_63) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_143)) :args _let_142)) _let_141 :args (_let_139 false _let_140)) :args (_let_137 false _let_44 false _let_139)) :args (_let_116 false _let_31 false _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_132)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_133 _let_135) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (SYMM (SYMM _let_135)) :args _let_134) (TRUE_INTRO _let_133))) :args (_let_124 _let_27))) :args (_let_27 _let_124))) :args (true _let_132)) :args ((or (not _let_27) _let_118 (not _let_124)))) (AND_ELIM _let_131 :args _let_93) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_124 (not _let_126)))) (AND_ELIM (ASSUME :args (_let_43)) :args _let_63) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.xA QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_126 false _let_127)) :args (_let_124 false _let_42 false _let_126)) :args (_let_118 false _let_27 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.xF tptp.xD QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_107)) _let_106 :args (_let_122 false _let_105)) :args (_let_115 false _let_32 false _let_28 false _let_116 false _let_118 false _let_122)) :args (_let_114 false _let_115)) :args (_let_82 false _let_11 false _let_114)))) (let ((_let_152 (tptp.sdtlseqdt0 tptp.sz0z00 _let_18))) (let ((_let_153 (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 tptp.xC tptp.xG)) _let_152))) (let ((_let_154 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xG))) (let ((_let_155 (not _let_154))) (let ((_let_156 (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xC))) (let ((_let_157 (not _let_156))) (let ((_let_158 (not _let_24))) (let ((_let_159 (not _let_36))) (let ((_let_160 (or _let_159 _let_158 _let_157 _let_155 _let_153))) (let ((_let_161 (tptp.sdtlseqdt0 tptp.sz0z00 _let_22))) (let ((_let_162 (not _let_39))) (let ((_let_163 (or _let_162 _let_161))) (let ((_let_164 (ASSUME :args (_let_25)))) (let ((_let_165 (and _let_23 _let_161))) (let ((_let_166 (ASSUME :args (_let_161)))) (let ((_let_167 (ASSUME :args (_let_23)))) (let ((_let_168 (tptp.sdtlseqdt0 tptp.sz0z00 _let_34))) (let ((_let_169 (not _let_46))) (let ((_let_170 (or _let_169 _let_168))) (let ((_let_171 (ASSUME :args (_let_37)))) (let ((_let_172 (and _let_35 _let_168))) (let ((_let_173 (ASSUME :args (_let_168)))) (let ((_let_174 (ASSUME :args (_let_35)))) (let ((_let_175 (and _let_19 _let_152))) (let ((_let_176 (ASSUME :args (_let_152)))) (let ((_let_177 (ASSUME :args (_let_19)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_175)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_176 _let_177) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (SYMM (SYMM _let_177)) :args _let_134) (TRUE_INTRO _let_176))) :args (_let_152 _let_19))) :args (_let_19 _let_152))) :args (true _let_175)) :args ((or (not _let_19) _let_111 (not _let_152)))) (AND_ELIM _let_64 :args _let_93) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_153 1)) :args ((or _let_152 (not _let_153)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_159 _let_158 _let_157 _let_155 _let_153 (not _let_160)))) (AND_ELIM _let_171 :args _let_63) (AND_ELIM _let_164 :args _let_63) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_172)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_173 _let_174) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (SYMM (SYMM _let_174)) :args _let_134) (TRUE_INTRO _let_173))) :args (_let_168 _let_35))) :args (_let_35 _let_168))) :args (true _let_172)) :args ((or (not _let_35) _let_156 (not _let_168)))) (AND_ELIM _let_171 :args _let_93) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_169 _let_168 (not _let_170)))) (AND_ELIM (ASSUME :args (_let_47)) :args _let_63) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_143)) :args _let_142)) _let_141 :args (_let_170 false _let_140)) :args (_let_168 false _let_46 false _let_170)) :args (_let_156 false _let_35 false _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_165)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_166 _let_167) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (SYMM (SYMM _let_167)) :args _let_134) (TRUE_INTRO _let_166))) 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(tptp.sdtasdt0 W0 W3)) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W2) (tptp.sdtasdt0 W1 W3)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) _let_1) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) _let_1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))) (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 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) _let_52 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 tptp.sz0z00 W2) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W3))))) _let_51 _let_50 _let_49 (forall ((W0 $$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_48 (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_41 _let_38) (not (= _let_41 tptp.sz00)) _let_47 _let_45 _let_43 _let_40 _let_37 _let_33 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq))) _let_29 _let_25 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB))) _let_21 _let_17 _let_13 (and (tptp.aScalar0 tptp.xN) (= tptp.xN _let_9)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)) (tptp.sdtlseqdt0 _let_8 tptp.xN) (tptp.sdtlseqdt0 (tptp.sdtpldt0 _let_8 _let_8) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xR tptp.xR) (tptp.sdtasdt0 tptp.xS tptp.xS))) (tptp.sdtlseqdt0 (tptp.sdtasdt0 _let_1 _let_1) (tptp.sdtasdt0 _let_3 _let_3)) _let_7 (tptp.sdtlseqdt0 _let_3 _let_1) _let_5 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.00/1.23 )
% 1.00/1.23 % SZS output end Proof for RNG071+1
% 1.00/1.23 % cvc5---1.0.5 exiting
% 1.00/1.23 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------