TSTP Solution File: SYN459-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN459-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 : Fri Sep  1 02:03:22 EDT 2023

% Result   : Unsatisfiable 0.21s 0.70s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SYN459-1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 21:39:45 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Kmvk49mWzD/cvc5---1.0.5_23355.p...
% 0.21/0.52  ------- get file name : TPTP file name is SYN459-1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23355.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.70  % SZS status Unsatisfiable for SYN459-1
% 0.21/0.70  % SZS output start Proof for SYN459-1
% 0.21/0.72  (
% 0.21/0.72  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c3_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp7)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V) tptp.hskp6)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c3_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp9)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp12)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp19)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp13)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp2)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp2)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) tptp.hskp13)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) tptp.hskp10)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp15)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp23)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp23 tptp.hskp5)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp1 tptp.hskp2)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp7 tptp.hskp9)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp7 tptp.hskp4)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp25 tptp.hskp16)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp23 tptp.hskp16)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp3 tptp.hskp4)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp6)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp1)))) (let ((_let_32 (not tptp.hskp0))) (let ((_let_33 (tptp.c3_1 tptp.a188))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (tptp.c1_1 tptp.a188))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_32))) (let ((_let_39 (tptp.c0_1 tptp.a188))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_32))) (let ((_let_42 (not tptp.hskp1))) (let ((_let_43 (tptp.c3_1 tptp.a190))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (not tptp.hskp2))) (let ((_let_47 (tptp.c3_1 tptp.a191))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.c2_1 tptp.a191))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46))) (let ((_let_53 (tptp.c1_1 tptp.a191))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_46))) (let ((_let_56 (not tptp.hskp3))) (let ((_let_57 (tptp.c3_1 tptp.a192))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (not tptp.hskp4))) (let ((_let_61 (tptp.c3_1 tptp.a193))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (tptp.c0_1 tptp.a193))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_60))) (let ((_let_67 (not tptp.hskp5))) (let ((_let_68 (tptp.c2_1 tptp.a194))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (tptp.c1_1 tptp.a194))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_67))) (let ((_let_74 (not tptp.hskp6))) (let ((_let_75 (tptp.c3_1 tptp.a195))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74))) (let ((_let_78 (tptp.c1_1 tptp.a195))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_74))) (let ((_let_81 (not tptp.hskp7))) (let ((_let_82 (tptp.c2_1 tptp.a197))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81))) (let ((_let_85 (tptp.c0_1 tptp.a197))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_81))) (let ((_let_88 (not tptp.hskp8))) (let ((_let_89 (not tptp.hskp9))) (let ((_let_90 (tptp.c1_1 tptp.a199))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (tptp.c0_1 tptp.a199))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_89))) (let ((_let_96 (not tptp.hskp10))) (let ((_let_97 (tptp.c1_1 tptp.a200))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_96))) (let ((_let_100 (not tptp.hskp11))) (let ((_let_101 (not tptp.hskp12))) (let ((_let_102 (tptp.c3_1 tptp.a206))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (tptp.c2_1 tptp.a206))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_101))) (let ((_let_108 (tptp.c0_1 tptp.a206))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_101))) (let ((_let_111 (not tptp.hskp13))) (let ((_let_112 (tptp.c0_1 tptp.a209))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111))) (let ((_let_115 (not tptp.hskp14))) (let ((_let_116 (not tptp.hskp15))) (let ((_let_117 (tptp.c3_1 tptp.a214))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (tptp.c0_1 tptp.a214))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_116))) (let ((_let_123 (not tptp.hskp16))) (let ((_let_124 (tptp.c2_1 tptp.a221))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_123))) (let ((_let_127 (tptp.c1_1 tptp.a221))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_123))) (let ((_let_130 (tptp.c0_1 tptp.a221))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_123))) (let ((_let_133 (not tptp.hskp17))) (let ((_let_134 (not tptp.hskp18))) (let ((_let_135 (not tptp.hskp19))) (let ((_let_136 (tptp.c1_1 tptp.a225))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135))) (let ((_let_139 (tptp.c0_1 tptp.a225))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_135))) (let ((_let_142 (not tptp.hskp20))) (let ((_let_143 (not tptp.hskp21))) (let ((_let_144 (tptp.c3_1 tptp.a257))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_145 _let_143))) (let ((_let_147 (tptp.c1_1 tptp.a257))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_143))) (let ((_let_150 (not tptp.hskp22))) (let ((_let_151 (tptp.c2_1 tptp.a190))) (let ((_let_152 (or _let_42 _let_151))) (let ((_let_153 (tptp.c0_1 tptp.a190))) (let ((_let_154 (or _let_42 _let_153))) (let ((_let_155 (tptp.c1_1 tptp.a192))) (let ((_let_156 (or _let_56 _let_155))) (let ((_let_157 (tptp.c0_1 tptp.a192))) (let ((_let_158 (or _let_56 _let_157))) (let ((_let_159 (tptp.c1_1 tptp.a193))) (let ((_let_160 (or _let_60 _let_159))) (let ((_let_161 (tptp.c0_1 tptp.a194))) (let ((_let_162 (or _let_67 _let_161))) (let ((_let_163 (tptp.c0_1 tptp.a195))) (let ((_let_164 (or _let_74 _let_163))) (let ((_let_165 (tptp.c1_1 tptp.a197))) (let ((_let_166 (or _let_81 _let_165))) (let ((_let_167 (tptp.c2_1 tptp.a199))) (let 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((_let_193 (or _let_192 _let_191))) (let ((_let_194 (tptp.c1_1 tptp.a230))) (let ((_let_195 (or _let_192 _let_194))) (let ((_let_196 (tptp.c0_1 tptp.a230))) (let ((_let_197 (or _let_192 _let_196))) (let ((_let_198 (or tptp.hskp24 tptp.hskp22 tptp.hskp2))) (let ((_let_199 (or tptp.hskp5 tptp.hskp15 tptp.hskp21))) (let ((_let_200 (or tptp.hskp1 tptp.hskp9 tptp.hskp0))) (let ((_let_201 (or tptp.hskp23 tptp.hskp9 tptp.hskp2))) (let ((_let_202 (or tptp.hskp25 tptp.hskp15 tptp.hskp2))) (let ((_let_203 (or _let_46 tptp.ndr1_0))) (let ((_let_204 (or _let_150 tptp.ndr1_0))) (let ((_let_205 (or _let_190 tptp.ndr1_0))) (let ((_let_206 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_207 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_208 (forall ((W $$unsorted)) (or (not (tptp.c0_1 W)) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_209 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not 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(REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_433 _let_259 _let_545))))) (let ((_let_605 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_606 (ASSUME :args (_let_172)))) (let ((_let_607 (ASSUME :args (_let_170)))) (let ((_let_608 (REORDERING (ASSUME :args (_let_99)) :args ((or _let_96 _let_98))))) (let ((_let_609 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_361 (= U U)))))) (let ((_let_610 (_let_361))) (let ((_let_611 ((not (= (tptp.c0_1 U) false))))) (let ((_let_612 (ASSUME :args _let_610))) (let ((_let_613 (_let_547))) (let ((_let_614 ((not (= (tptp.c0_1 V) true))))) (let ((_let_615 (ASSUME :args _let_613))) (let ((_let_616 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_615 :args (tptp.a221 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_614)) :args _let_613)))) (let ((_let_617 (not _let_364))) (let ((_let_618 (REORDERING (CNF_OR_POS :args (_let_364)) 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U)))))) (let ((_let_667 (not _let_653))) (let ((_let_668 (not _let_654))) (let ((_let_669 (_let_655))) (let ((_let_670 (MACRO_RESOLUTION_TRUST _let_588 (REORDERING (CNF_OR_POS :args (_let_650)) :args ((or _let_574 _let_236 _let_238 (not _let_650)))) _let_584 _let_583 _let_582 _let_581 _let_616 _let_620 _let_497 _let_496 _let_495 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 tptp.hskp16 _let_433 _let_655))) _let_217 _let_564 _let_562 _let_561 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_669) :args (tptp.a189 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_669)) _let_558 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_654)) :args ((or _let_340 _let_339 _let_651 _let_668))) (REORDERING (CNF_OR_POS :args (_let_653)) :args ((or _let_340 _let_338 _let_652 _let_667))) :args ((or _let_340 _let_339 _let_338 _let_668 _let_667) true _let_651)) _let_551 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_437 :args (tptp.a189 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_436)) :args _let_435)) _let_666 _let_665 _let_217 _let_664 _let_663 _let_661 _let_660 _let_550 _let_659 _let_658 _let_657 _let_217 _let_570 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_525 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_524)) :args _let_523)) _let_571 _let_656 _let_635 _let_631 :args ((or _let_43 _let_247 _let_340 _let_339 _let_338 _let_219 (not _let_264) _let_587) false _let_238 true _let_236 true _let_574 true _let_237 true _let_575 true _let_547 true _let_548 true _let_124 true _let_127 true _let_130 false tptp.hskp16 false tptp.ndr1_0 true tptp.hskp25 false _let_379 false _let_301 true _let_655 false _let_388 true _let_654 false _let_390 false _let_653 false _let_392 false _let_394 false tptp.ndr1_0 true _let_393 true _let_273 true _let_272 true _let_269 false _let_385 false _let_271 false _let_268 false _let_267 false tptp.ndr1_0 true tptp.hskp2 false _let_650 false _let_266 true _let_395 true _let_207 true _let_341)))) (let ((_let_671 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_672 (not _let_671))) (let ((_let_673 (or _let_672 _let_640 _let_638))) (let ((_let_674 (not _let_637))) (let ((_let_675 (or _let_672 _let_674 _let_638))) (let ((_let_676 (or _let_543 _let_540 _let_97))) (let ((_let_677 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_678 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V))))) (let ((_let_679 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_680 (not _let_679))) (let ((_let_681 (or _let_645 _let_680 _let_643))) (let ((_let_682 (not _let_642))) (let ((_let_683 (or _let_645 _let_682 _let_680))) (let ((_let_684 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_685 (or _let_306 _let_78 _let_75))) (let ((_let_686 (not _let_641))) (let ((_let_687 (not _let_646))) (let ((_let_688 (not _let_259))) (let ((_let_689 (_let_688))) (let ((_let_690 (not _let_675))) (let ((_let_691 (REFL :args (_let_673)))) (let ((_let_692 (not _let_676))) (let ((_let_693 (_let_300))) (let ((_let_694 (ASSUME :args _let_693))) (let ((_let_695 (_let_677))) (let ((_let_696 (not _let_677))) (let ((_let_697 (_let_696))) (let ((_let_698 (not _let_683))) (let ((_let_699 (REFL :args (_let_681)))) (let ((_let_700 (not _let_685))) (let ((_let_701 (ASSUME :args (_let_164)))) (let ((_let_702 (REORDERING (ASSUME :args (_let_80)) :args ((or _let_74 _let_79))))) (let ((_let_703 (REORDERING (ASSUME :args (_let_77)) :args ((or _let_74 _let_76))))) (let ((_let_704 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_491 :args (tptp.a195 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_662)) :args _let_489)) _let_664 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_685)) :args ((or _let_78 _let_75 _let_306 _let_700))) _let_703 _let_702 _let_701 :args ((or _let_74 _let_700) true _let_75 true _let_78 false _let_163)) _let_665 _let_217 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_433 _let_684 _let_678))) _let_217 _let_666 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_392 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_437 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_435)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_646)) :args ((or _let_645 _let_643 _let_642 _let_687))) (REORDERING (CNF_OR_POS :args (_let_683)) :args ((or _let_645 _let_680 _let_682 _let_698))) (CNF_OR_NEG :args (_let_681 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_681 1)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_680) _let_679))) :args _let_367)) :args ((or _let_679 _let_681))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_681 0)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_645) _let_644))) :args _let_367)) :args ((or _let_644 _let_681))) :args ((or _let_681 _let_698 _let_687) true _let_642 true _let_643 false _let_679 false _let_644)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_697)) :args _let_697)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_696) _let_677))) (REFL :args ((not _let_681))) :args _let_367)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_300 (= V V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_695) :args (tptp.a200 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_695)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_694 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) false))))) :args _let_693)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_97 _let_543 _let_540 _let_692))) _let_608 _let_607 _let_606 :args ((or _let_96 _let_692) true _let_97 false _let_169 false _let_171)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_675)) :args ((or _let_672 _let_638 _let_674 _let_690))) (REORDERING (CNF_OR_POS :args (_let_641)) :args ((or _let_640 _let_638 _let_637 _let_686))) (CNF_OR_NEG :args (_let_673 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_673 1)) (CONG _let_691 (MACRO_SR_PRED_INTRO :args ((= (not _let_640) _let_639))) :args _let_367)) :args ((or _let_639 _let_673))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_673 0)) (CONG _let_691 (MACRO_SR_PRED_INTRO :args ((= (not _let_672) _let_671))) :args _let_367)) :args ((or _let_671 _let_673))) :args ((or _let_673 _let_686 _let_690) false _let_637 true _let_638 false _let_639 false _let_671)) _let_604 _let_217 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_689)) :args _let_689)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_688) _let_259))) (REFL :args ((not _let_673))) :args _let_367)) _let_602 _let_600 _let_598 _let_217 _let_573 _let_572 _let_670 _let_656 _let_635 _let_631 :args ((or _let_43 _let_256 _let_247 _let_340 _let_339 _let_338 _let_219 _let_687 _let_686 _let_587) false _let_273 true _let_685 false _let_393 false tptp.ndr1_0 false tptp.hskp6 false tptp.ndr1_0 true _let_394 true _let_684 true _let_392 true _let_683 true _let_681 true _let_678 true _let_677 true _let_300 true _let_676 true _let_675 false tptp.hskp10 false tptp.ndr1_0 true _let_673 true _let_259 true _let_262 false tptp.hskp13 false tptp.ndr1_0 true _let_263 true _let_545 true _let_264 true _let_395 true _let_207 true _let_341)))) (let ((_let_705 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)))) (let ((_let_706 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 tptp.hskp1 _let_433 _let_207))))) (let ((_let_707 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a191 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)))) (let ((_let_708 (REORDERING (CNF_OR_POS :args (_let_215)) :args ((or _let_53 _let_47 _let_211 (not _let_215)))))) (let ((_let_709 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_361 (= U V)))))) (let ((_let_710 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp1 _let_433 _let_374 _let_375))))) (let ((_let_711 (MACRO_RESOLUTION_TRUST _let_710 _let_217 _let_709 _let_397 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (tptp.a191 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_282 :args (tptp.a257 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_281)) :args _let_280)) (REORDERING (CNF_OR_POS :args (_let_406)) :args ((or _let_53 _let_50 _let_212 (not _let_406)))) (REORDERING (CNF_OR_POS :args (_let_405)) :args ((or _let_144 _let_400 _let_404 (not _let_405)))) _let_708 (REORDERING (CNF_OR_POS :args (_let_403)) :args ((or _let_147 _let_144 _let_402 (not _let_403)))) _let_568 _let_567 _let_566 _let_707 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a257 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)) _let_706 _let_217 _let_589 _let_217 (MACRO_RESOLUTION_TRUST _let_605 _let_217 _let_603 _let_609 _let_602 _let_705 _let_600 _let_704 _let_598 _let_217 _let_597 _let_596 _let_531 _let_573 _let_595 _let_522 _let_670 _let_591 _let_515 _let_649 _let_590 _let_510 _let_586 _let_585 _let_648 _let_507 _let_503 _let_499 _let_502 _let_501 _let_498 _let_494 _let_217 _let_493 _let_217 _let_285 _let_284 _let_283 _let_278 _let_276 _let_275 _let_274 :args ((or _let_42 _let_225 _let_226 _let_340 _let_339 _let_338) false tptp.ndr1_0 true _let_258 true _let_257 true _let_259 true _let_361 true _let_262 true _let_646 false tptp.hskp13 false tptp.ndr1_0 true _let_256 true _let_255 true _let_254 true _let_263 true _let_253 true _let_252 true _let_264 true _let_250 true _let_248 true _let_247 false _let_241 true _let_246 false _let_242 false _let_240 false _let_641 false _let_235 true _let_230 false _let_228 true _let_136 true _let_139 false _let_179 false _let_227 false tptp.ndr1_0 false tptp.hskp19 false tptp.ndr1_0 true _let_223 true _let_222 true _let_221 true _let_220 true _let_43 false _let_151 false _let_153)) _let_396 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_476 (MACRO_RESOLUTION_TRUST _let_605 _let_217 _let_603 _let_609 _let_602 _let_705 _let_600 _let_704 _let_598 _let_217 _let_597 _let_531 _let_573 _let_522 _let_670 _let_515 _let_649 _let_510 _let_585 _let_648 _let_507 _let_503 _let_499 _let_498 _let_494 _let_217 _let_493 _let_217 _let_285 _let_284 _let_283 _let_278 _let_276 _let_275 _let_274 _let_596 _let_589 _let_217 _let_396 _let_483 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_594 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_593)) :args _let_592)) _let_459 _let_625 (REORDERING (CNF_OR_POS :args (_let_636)) :args ((or _let_293 _let_295 _let_291 (not _let_636)))) _let_455 _let_624 _let_452 _let_451 _let_621 _let_446 _let_445 _let_647 _let_444 _let_217 _let_443 _let_441 _let_470 _let_475 _let_628 _let_629 _let_627 _let_626 :args ((or _let_116 tptp.hskp5) false tptp.ndr1_0 true _let_258 true _let_257 true _let_259 true _let_361 true _let_262 true _let_646 false tptp.hskp13 false tptp.ndr1_0 true _let_256 true _let_254 true _let_263 true _let_252 true _let_264 true _let_248 true _let_247 true _let_246 false _let_240 false _let_641 false _let_235 true _let_230 false _let_228 false _let_179 false _let_227 false tptp.ndr1_0 false tptp.hskp19 false tptp.ndr1_0 true _let_223 true _let_222 true _let_221 true _let_220 true _let_43 false _let_151 false _let_153 true _let_255 false tptp.hskp1 false tptp.ndr1_0 true _let_226 true _let_225 true _let_253 true _let_216 true _let_224 true _let_636 true _let_357 true _let_418 true _let_291 false _let_417 false _let_414 true _let_290 true _let_295 false _let_292 false _let_411 false tptp.ndr1_0 true _let_296 true _let_410 true _let_315 true _let_318 false _let_186 false _let_183 false _let_188 false tptp.hskp23)) _let_635 _let_631 _let_629 _let_628 _let_627 _let_626 :args (tptp.hskp5 false tptp.ndr1_0 true _let_375 true _let_374 true _let_361 true _let_221 true _let_406 true _let_405 false _let_211 false _let_402 true _let_47 true _let_50 true _let_53 false _let_215 false _let_403 false tptp.hskp2 false tptp.ndr1_0 false _let_216 false tptp.ndr1_0 true tptp.hskp1 true _let_226 true _let_225 true _let_224 true _let_401 true _let_144 true _let_147 false _let_181 false tptp.hskp21 true tptp.hskp15 true _let_207 true _let_341 false _let_183 false _let_186 false _let_188 false tptp.hskp23)))) (let ((_let_712 (ASSUME :args (_let_162)))) (let ((_let_713 (REORDERING (ASSUME :args (_let_73)) :args ((or _let_67 _let_72))))) (let ((_let_714 (REORDERING (ASSUME :args (_let_70)) :args ((or _let_67 _let_69))))) (let ((_let_715 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (tptp.a194 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_398)) :args ((or _let_71 _let_68 _let_325 _let_399))) _let_714 _let_713 _let_712 :args ((or _let_67 _let_399) true _let_68 true _let_71 false _let_161)) _let_711 :args (_let_399 false tptp.hskp5)) :args ((not _let_361) true _let_398)))) (let ((_let_716 (MACRO_RESOLUTION_TRUST _let_609 _let_715 :args ((not _let_257) true _let_361)))) (let ((_let_717 (REORDERING (CNF_OR_POS :args (_let_391)) :args ((or _let_384 _let_382 _let_389 (not _let_391)))))) (let ((_let_718 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_634 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_633)) :args _let_632)))) (let ((_let_719 (not _let_298))) (let ((_let_720 (REORDERING (CNF_OR_POS :args (_let_298)) :args ((or _let_293 _let_295 _let_297 _let_719))))) (let ((_let_721 (not _let_358))) (let ((_let_722 (REORDERING (CNF_OR_POS :args (_let_358)) :args ((or _let_293 _let_290 _let_297 _let_721))))) (let ((_let_723 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_694 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 V) false))))) :args _let_693)))) (let ((_let_724 (_let_359))) (let ((_let_725 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_724) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_724)))) (let ((_let_726 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_300 (= V V)))))) (let ((_let_727 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_433 _let_361 _let_300))))) (let ((_let_728 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_359 (= U V)))))) (let ((_let_729 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_730 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_329 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(CNF_OR_POS :args (_let_332)) :args ((or _let_93 _let_90 _let_331 _let_758))) _let_757 _let_756 _let_755 :args ((or _let_89 _let_758) true _let_90 true _let_93 false _let_167)))) (let ((_let_760 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_594 :args (tptp.a199 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_593)) :args _let_592)))) (let ((_let_761 (MACRO_RESOLUTION_TRUST _let_714 _let_711 :args (_let_69 false tptp.hskp5)))) (let ((_let_762 (MACRO_RESOLUTION_TRUST _let_713 _let_711 :args (_let_72 false tptp.hskp5)))) (let ((_let_763 (REORDERING (CNF_OR_POS :args (_let_328)) :args ((or _let_71 _let_68 _let_327 (not _let_328)))))) (let ((_let_764 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_733 :args (tptp.a194 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_732)) :args _let_731)))) (let ((_let_765 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_329 (= V V)))))) (let ((_let_766 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 _let_433 _let_322 _let_330))))) (let ((_let_767 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U U)))))) (let ((_let_768 (REORDERING (CNF_OR_POS :args (_let_299)) :args ((or _let_219 _let_218 _let_270 (not _let_299)))))) (let ((_let_769 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (tptp.a190 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)))) (let ((_let_770 ((not (= (tptp.c0_1 U) false))))) (let ((_let_771 (MACRO_RESOLUTION_TRUST _let_631 _let_629 _let_628 _let_627 :args ((or _let_184 _let_630) false _let_183 false _let_186 false _let_188)))) (let ((_let_772 (MACRO_RESOLUTION_TRUST _let_470 (MACRO_RESOLUTION_TRUST _let_475 (MACRO_RESOLUTION_TRUST _let_735 _let_708 _let_707 _let_568 _let_567 _let_566 _let_462 (ASSUME :args (_let_201)) _let_465 _let_217 _let_771 _let_466 _let_635 _let_464 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_207 (= U U)))) _let_461 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_433 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(_let_361 (= U W)))) _let_715 :args ((not _let_323) true _let_361)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_301 (= U U)))) _let_767 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U U)))) _let_769 _let_659 _let_768 _let_660 _let_314 _let_276 _let_275 _let_274 (MACRO_RESOLUTION_TRUST _let_717 _let_557 _let_550 _let_556 _let_555 _let_767 _let_561 _let_766 _let_217 _let_562 _let_765 _let_564 _let_718 _let_764 _let_565 _let_706 _let_217 _let_763 _let_761 _let_762 _let_570 (REORDERING (CNF_OR_POS :args (_let_750)) :args ((or _let_71 _let_68 _let_324 (not _let_750)))) _let_762 _let_761 _let_571 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_525 :args (tptp.a194 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_524)) :args _let_523)) _let_573 _let_598 _let_217 _let_600 _let_602 _let_603 _let_597 _let_605 _let_217 _let_716 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_530 :args (tptp.a199 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_529)) :args _let_528)) _let_596 (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_93 _let_331 _let_748 (not _let_749)))) _let_760 (REORDERING (CNF_OR_POS :args (_let_746)) :args ((or _let_90 _let_331 _let_745 (not _let_746)))) _let_759 _let_757 _let_756 _let_755 _let_754 _let_753 _let_751 _let_589 _let_217 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (tptp.a199 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_311)) :args _let_310)) _let_483 _let_744 :args ((or tptp.hskp15 tptp.hskp1) false _let_380 false _let_385 false _let_381 false _let_383 false _let_268 true _let_388 false _let_322 false tptp.ndr1_0 true _let_301 true _let_330 true _let_379 false _let_391 true _let_329 false tptp.hskp25 false _let_207 false tptp.ndr1_0 true _let_328 true _let_68 true _let_71 true tptp.hskp2 false _let_324 true _let_71 true _let_68 false _let_266 false _let_750 false _let_264 false _let_263 false tptp.ndr1_0 true tptp.hskp13 false _let_262 false _let_259 true _let_256 false _let_258 false tptp.ndr1_0 true _let_257 true _let_254 true _let_255 true _let_749 true _let_253 false _let_745 true _let_332 true _let_90 true _let_93 false _let_167 false tptp.hskp9 true tptp.hskp0 false _let_747 false _let_216 false tptp.ndr1_0 false _let_746 false _let_224 false _let_225)) _let_313 _let_483 _let_744 :args (tptp.hskp15 false _let_211 false _let_215 true _let_47 true _let_50 true _let_53 false _let_216 false tptp.hskp2 false _let_343 false tptp.ndr1_0 true tptp.hskp23 true _let_342 false _let_341 true _let_337 false _let_207 true _let_336 false _let_334 false tptp.ndr1_0 true _let_333 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp9 false _let_332 false _let_253 false _let_255 false tptp.ndr1_0 true _let_257 true _let_258 true _let_259 true _let_262 false tptp.hskp13 false tptp.ndr1_0 true _let_330 true _let_329 true _let_328 true _let_68 true _let_71 false _let_324 true _let_68 false _let_161 false _let_213 false _let_326 false _let_210 false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))) false tptp.ndr1_0 true _let_323 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))) true _let_322 true _let_321 true _let_301 true _let_268 true _let_299 true _let_271 false _let_269 true _let_43 false _let_151 false _let_153 false tptp.hskp1 false _let_289 false _let_224 false _let_225)) :args (_let_320 false tptp.hskp15)) :args (_let_319 true _let_318)))) (let ((_let_773 (MACRO_RESOLUTION_TRUST _let_443 _let_772 :args (_let_316 true _let_315)))) (let ((_let_774 (not _let_294))) (let ((_let_775 (_let_308))) (let ((_let_776 (MACRO_RESOLUTION_TRUST _let_670 _let_629 _let_628 _let_627 _let_492 _let_217 (MACRO_RESOLUTION_TRUST _let_512 _let_517 _let_497 _let_496 _let_495 :args ((or _let_123 _let_516 _let_511) false _let_243 true _let_124 true _let_127 true _let_130)) _let_663 _let_661 _let_660 _let_659 _let_658 _let_657 _let_217 _let_570 _let_571 _let_526 _let_573 _let_598 _let_217 _let_600 _let_602 _let_603 _let_605 _let_217 _let_716 _let_597 _let_596 _let_531 _let_595 _let_522 _let_591 _let_515 _let_649 _let_590 _let_510 _let_508 _let_586 _let_585 _let_507 _let_503 _let_499 _let_502 _let_501 _let_498 _let_494 _let_217 _let_493 _let_217 _let_396 _let_483 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_307)) :args ((or _let_75 _let_306 _let_286 (not _let_307)))) (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_78 _let_75 _let_287 (not _let_288)))) _let_703 _let_702 _let_701 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_433 _let_308))) _let_217 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_775) :args (tptp.a206 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_775)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_739 :args (tptp.a195 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_738)) (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_108 _let_105 _let_102 (not _let_305)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_210 (= U V)))) (REORDERING (ASSUME :args (_let_104)) :args ((or _let_101 _let_103))) (REORDERING (ASSUME :args (_let_107)) :args ((or _let_101 _let_106))) (REORDERING (ASSUME :args (_let_110)) :args ((or _let_101 _let_109))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_217 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_315 (= U W)))) _let_772 :args ((not _let_304) true _let_315)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 _let_433 _let_303 _let_302))) _let_217 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_301 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_300 (= V V)))) _let_769 _let_659 _let_723 _let_768 _let_660 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_294)) :args ((or _let_293 _let_290 _let_291 _let_774))) _let_720 _let_446 _let_445 _let_647 :args ((or _let_296 _let_719 _let_774) true _let_291 true _let_290 true _let_295 false _let_292)) _let_773 _let_314 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_311)) :args _let_310)) _let_313 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (tptp.a195 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_311)) :args _let_310)) :args ((or _let_43 _let_219 _let_218 _let_309) true _let_286 true _let_75 true _let_78 false _let_163 false tptp.hskp6 false tptp.ndr1_0 true _let_308 false _let_307 true _let_305 false _let_210 true _let_102 true _let_105 true _let_108 false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))) false tptp.ndr1_0 true _let_304 false tptp.hskp12 false tptp.ndr1_0 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))) true _let_303 true _let_302 true _let_301 true _let_268 true _let_300 true _let_299 true _let_271 true _let_298 true _let_296 false _let_269 false _let_294 false _let_289 false _let_288)) _let_285 _let_284 _let_283 _let_279 _let_276 _let_275 _let_274 :args (_let_42 false _let_183 false _let_186 false _let_188 false tptp.hskp23 false tptp.ndr1_0 true tptp.hskp16 true _let_273 true _let_272 true _let_269 false _let_271 false _let_268 false _let_267 false tptp.ndr1_0 true tptp.hskp2 false _let_266 false _let_265 false _let_264 false _let_263 false tptp.ndr1_0 true tptp.hskp13 false _let_262 false _let_259 false _let_258 false tptp.ndr1_0 true _let_257 true _let_256 true _let_255 true _let_254 true _let_253 true _let_252 true _let_250 true _let_248 true _let_247 false _let_241 true _let_246 false _let_245 false _let_242 false _let_240 false _let_235 true _let_230 false _let_228 true _let_136 true _let_139 false _let_179 false _let_227 false tptp.ndr1_0 false tptp.hskp19 false tptp.ndr1_0 true _let_226 true _let_225 true _let_224 true _let_223 true _let_222 true _let_221 true _let_220 true _let_43 false _let_151 false _let_153)))) (let ((_let_777 (MACRO_RESOLUTION_TRUST _let_589 _let_776 _let_217 :args (_let_216 true tptp.hskp1 false tptp.ndr1_0)))) (let ((_let_778 (MACRO_RESOLUTION_TRUST _let_446 _let_773 :args ((not _let_290) true _let_296)))) (let ((_let_779 (MACRO_RESOLUTION_TRUST _let_445 _let_773 :args ((not _let_295) true _let_296)))) (let ((_let_780 (MACRO_RESOLUTION_TRUST _let_455 _let_779 _let_778 (MACRO_RESOLUTION_TRUST _let_459 _let_777 :args (_let_357 false _let_216)) :args (_let_291 true _let_295 true _let_290 false _let_357)))) (let ((_let_781 (MACRO_RESOLUTION_TRUST _let_647 _let_773 :args (_let_292 true _let_296)))) (let ((_let_782 (MACRO_RESOLUTION_TRUST _let_723 (MACRO_RESOLUTION_TRUST _let_720 _let_781 _let_779 _let_780 :args (_let_719 false _let_292 true _let_295 false _let_291)) :args ((not _let_300) true _let_298)))) (let ((_let_783 (MACRO_RESOLUTION_TRUST _let_727 _let_217 _let_715 _let_782 :args (tptp.hskp2 false tptp.ndr1_0 true _let_361 true _let_300)))) (let ((_let_784 (MACRO_RESOLUTION_TRUST _let_568 _let_783 :args (_let_48 false tptp.hskp2)))) (let ((_let_785 (MACRO_RESOLUTION_TRUST _let_566 _let_783 :args (_let_54 false tptp.hskp2)))) (let ((_let_786 (MACRO_RESOLUTION_TRUST _let_708 _let_785 _let_784 (MACRO_RESOLUTION_TRUST _let_707 _let_777 :args (_let_215 false _let_216)) :args (_let_211 true _let_53 true _let_47 false _let_215)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_743 (MACRO_RESOLUTION_TRUST _let_635 (MACRO_RESOLUTION_TRUST _let_771 (MACRO_RESOLUTION_TRUST _let_492 (MACRO_RESOLUTION_TRUST _let_737 (MACRO_RESOLUTION_TRUST _let_734 (MACRO_RESOLUTION_TRUST _let_730 (MACRO_RESOLUTION_TRUST _let_729 _let_217 (MACRO_RESOLUTION_TRUST _let_726 _let_782 :args ((not _let_360) true _let_300)) (MACRO_RESOLUTION_TRUST _let_760 (MACRO_RESOLUTION_TRUST _let_759 (MACRO_RESOLUTION_TRUST _let_754 _let_776 (MACRO_RESOLUTION_TRUST _let_753 (MACRO_RESOLUTION_TRUST _let_751 _let_777 :args (_let_747 false _let_216)) :args (_let_32 false _let_747)) :args (tptp.hskp9 true tptp.hskp1 true tptp.hskp0)) :args (_let_758 false tptp.hskp9)) :args ((not _let_253) true _let_332)) :args (_let_362 false tptp.ndr1_0 true _let_360 true _let_253)) :args (_let_329 false _let_362)) :args (_let_363 false _let_329)) (MACRO_RESOLUTION_TRUST _let_527 _let_777 :args (_let_356 false _let_216)) :args (_let_123 false _let_363 false _let_356)) _let_217 (MACRO_RESOLUTION_TRUST _let_619 (MACRO_RESOLUTION_TRUST _let_618 _let_785 _let_784 _let_786 :args (_let_617 true _let_53 true _let_47 false _let_211)) :args ((not _let_273) true _let_364)) :args (tptp.hskp23 true tptp.hskp16 false tptp.ndr1_0 true _let_273)) :args (_let_630 false tptp.hskp23)) :args ((not _let_207) true _let_341)) (MACRO_RESOLUTION_TRUST _let_742 _let_217 (MACRO_RESOLUTION_TRUST _let_728 (MACRO_RESOLUTION_TRUST _let_725 (MACRO_RESOLUTION_TRUST _let_722 _let_781 _let_778 _let_780 :args (_let_721 false _let_292 true _let_290 false _let_291)) :args ((not _let_359) true _let_358)) :args ((not _let_209) true _let_359)) (MACRO_RESOLUTION_TRUST _let_741 (MACRO_RESOLUTION_TRUST _let_740 (MACRO_RESOLUTION_TRUST _let_735 (MACRO_RESOLUTION_TRUST _let_567 _let_783 :args (_let_51 false tptp.hskp2)) _let_784 _let_786 :args (_let_214 true _let_50 true _let_47 false _let_211)) :args ((not _let_210) true _let_213)) :args ((not _let_208) true _let_210)) :args (_let_206 false tptp.ndr1_0 true _let_209 true _let_208)) :args (false true _let_207 false _let_206)) :args ((or _let_192 tptp.ndr1_0) _let_205 (or _let_184 tptp.ndr1_0) _let_204 (or _let_143 tptp.ndr1_0) (or _let_142 tptp.ndr1_0) (or _let_135 tptp.ndr1_0) (or _let_134 tptp.ndr1_0) (or _let_133 tptp.ndr1_0) (or _let_123 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_115 tptp.ndr1_0) (or _let_111 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_100 tptp.ndr1_0) (or _let_96 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_88 tptp.ndr1_0) (or _let_81 tptp.ndr1_0) (or _let_74 tptp.ndr1_0) (or _let_67 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) _let_203 (or _let_42 tptp.ndr1_0) (or _let_32 tptp.ndr1_0) _let_202 _let_201 _let_200 _let_199 _let_198 (or tptp.hskp7 tptp.hskp14 tptp.hskp9) (or tptp.hskp14 tptp.hskp15 tptp.hskp12) _let_197 _let_195 _let_193 (or _let_190 (tptp.c1_1 tptp.a215)) (or _let_190 (tptp.c2_1 tptp.a215)) (or _let_190 (tptp.c3_1 tptp.a215)) _let_189 _let_187 _let_185 (or _let_150 (tptp.c3_1 tptp.a259)) _let_182 (or _let_142 (tptp.c2_1 tptp.a233)) (or _let_142 (tptp.c3_1 tptp.a233)) _let_180 (or _let_134 (tptp.c3_1 tptp.a223)) (or _let_133 (tptp.c1_1 tptp.a222)) (or _let_133 (tptp.c2_1 tptp.a222)) _let_178 (or _let_115 (tptp.c2_1 tptp.a210)) (or _let_115 (tptp.c3_1 tptp.a210)) _let_176 _let_174 (or _let_100 (tptp.c0_1 tptp.a202)) _let_172 _let_170 _let_168 (or _let_88 (tptp.c1_1 tptp.a198)) (or _let_88 (tptp.c3_1 tptp.a198)) _let_166 _let_164 _let_162 _let_160 _let_158 _let_156 _let_154 _let_152 (or (not (tptp.c0_1 tptp.a259)) _let_150) (or (not (tptp.c2_1 tptp.a259)) _let_150) _let_149 _let_146 (or (not (tptp.c0_1 tptp.a233)) _let_142) _let_141 _let_138 (or (not (tptp.c1_1 tptp.a223)) _let_134) (or (not (tptp.c2_1 tptp.a223)) _let_134) (or (not (tptp.c3_1 tptp.a222)) _let_133) _let_132 _let_129 _let_126 _let_122 _let_119 (or (not (tptp.c1_1 tptp.a210)) _let_115) _let_114 _let_110 _let_107 _let_104 (or (not (tptp.c2_1 tptp.a202)) _let_100) (or (not (tptp.c3_1 tptp.a202)) _let_100) _let_99 _let_95 _let_92 (or (not (tptp.c2_1 tptp.a198)) _let_88) _let_87 _let_84 _let_80 _let_77 _let_73 _let_70 _let_66 _let_63 _let_59 _let_55 _let_52 _let_49 _let_45 _let_41 _let_38 _let_35 _let_31 _let_30 _let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp8 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp11 tptp.hskp9)) _let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp17 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp12)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp8 tptp.hskp4)) _let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp4 tptp.hskp20)) _let_26 _let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp10 tptp.hskp24)) _let_24 _let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp16 tptp.hskp12)) _let_22 _let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)) _let_20 _let_19 _let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)) _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp24)) _let_15 _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp24)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp7)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp0)) _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp14)) _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp13)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp12)) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c0_1 W)) (not (tptp.c2_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c1_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c1_1 W))) _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.72  )
% 0.21/0.72  % SZS output end Proof for SYN459-1
% 0.21/0.73  % cvc5---1.0.5 exiting
% 0.21/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------