TSTP Solution File: SYN499-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN499-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 02:03:41 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
% 0.00/0.13  % Problem    : SYN499-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 21:58:38 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lXsIfTbpyZ/cvc5---1.0.5_19552.p...
% 0.21/0.53  ------- get file name : TPTP file name is SYN499-1
% 0.21/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19552.smt2...
% 0.21/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.70  % SZS status Unsatisfiable for SYN499-1
% 0.21/0.70  % SZS output start Proof for SYN499-1
% 0.21/0.74  (
% 0.21/0.74  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$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.c0_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_4 (forall ((U $$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.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp7)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp28)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp8)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp7)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp13)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp12)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp4)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp7 tptp.hskp24)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp15 tptp.hskp13)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp17 tptp.hskp24)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp17 tptp.hskp13)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp25 tptp.hskp6)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp22 tptp.hskp7)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp0 tptp.hskp7)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp3 tptp.hskp15)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp0 tptp.hskp18)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp29 tptp.hskp7)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp17 tptp.hskp0)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp24)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp19 tptp.hskp17)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp9 tptp.hskp7)))) (let ((_let_32 (not tptp.hskp0))) (let ((_let_33 (tptp.c1_1 tptp.a123))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (tptp.c0_1 tptp.a123))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_32))) (let ((_let_39 (not tptp.hskp1))) (let ((_let_40 (not tptp.hskp2))) (let ((_let_41 (not tptp.hskp3))) (let ((_let_42 (tptp.c3_1 tptp.a127))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (tptp.c2_1 tptp.a127))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (not tptp.hskp4))) (let ((_let_49 (tptp.c3_1 tptp.a128))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48))) (let ((_let_52 (not tptp.hskp5))) (let ((_let_53 (not tptp.hskp6))) (let ((_let_54 (tptp.c2_1 tptp.a131))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (tptp.c1_1 tptp.a131))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_53))) (let ((_let_60 (tptp.c0_1 tptp.a131))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_53))) (let ((_let_63 (not tptp.hskp7))) (let ((_let_64 (tptp.c2_1 tptp.a132))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.c0_1 tptp.a132))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_63))) (let ((_let_70 (not tptp.hskp8))) (let ((_let_71 (tptp.c3_1 tptp.a134))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (tptp.c0_1 tptp.a134))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_70))) (let ((_let_77 (not tptp.hskp9))) (let ((_let_78 (tptp.c2_1 tptp.a138))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (not tptp.hskp10))) (let ((_let_82 (not tptp.hskp11))) (let ((_let_83 (not tptp.hskp12))) (let ((_let_84 (tptp.c1_1 tptp.a142))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83))) (let ((_let_87 (not tptp.hskp13))) (let ((_let_88 (tptp.c1_1 tptp.a143))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87))) (let ((_let_91 (not tptp.hskp14))) (let ((_let_92 (not tptp.hskp15))) (let ((_let_93 (tptp.c0_1 tptp.a153))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92))) (let ((_let_96 (not tptp.hskp16))) (let ((_let_97 (not tptp.hskp17))) (let ((_let_98 (tptp.c2_1 tptp.a155))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (tptp.c0_1 tptp.a155))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_97))) (let ((_let_104 (not tptp.hskp18))) (let ((_let_105 (tptp.c2_1 tptp.a160))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104))) (let ((_let_108 (tptp.c1_1 tptp.a160))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_104))) (let ((_let_111 (not tptp.hskp19))) (let ((_let_112 (tptp.c2_1 tptp.a164))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111))) (let ((_let_115 (not tptp.hskp20))) (let ((_let_116 (not tptp.hskp21))) (let ((_let_117 (not tptp.hskp22))) (let ((_let_118 (tptp.c2_1 tptp.a176))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (tptp.c1_1 tptp.a176))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_117))) (let ((_let_124 (not tptp.hskp23))) (let ((_let_125 (not tptp.hskp24))) (let ((_let_126 (tptp.c3_1 tptp.a182))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_125))) (let ((_let_129 (tptp.c2_1 tptp.a182))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_125))) (let ((_let_132 (tptp.c0_1 tptp.a182))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_125))) (let ((_let_135 (not tptp.hskp25))) (let ((_let_136 (tptp.c1_1 tptp.a189))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135))) (let ((_let_139 (tptp.c0_1 tptp.a189))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_135))) (let ((_let_142 (not tptp.hskp26))) (let ((_let_143 (tptp.c2_1 tptp.a123))) (let ((_let_144 (or _let_32 _let_143))) (let ((_let_145 (tptp.c1_1 tptp.a127))) (let ((_let_146 (or _let_41 _let_145))) (let ((_let_147 (tptp.c1_1 tptp.a128))) (let ((_let_148 (or _let_48 _let_147))) (let ((_let_149 (tptp.c0_1 tptp.a128))) (let ((_let_150 (or _let_48 _let_149))) (let ((_let_151 (tptp.c3_1 tptp.a132))) (let ((_let_152 (or _let_63 _let_151))) (let ((_let_153 (tptp.c2_1 tptp.a134))) (let ((_let_154 (or _let_70 _let_153))) (let ((_let_155 (tptp.c1_1 tptp.a138))) (let ((_let_156 (or _let_77 _let_155))) (let ((_let_157 (tptp.c0_1 tptp.a138))) (let ((_let_158 (or _let_77 _let_157))) (let ((_let_159 (tptp.c3_1 tptp.a142))) (let ((_let_160 (or _let_83 _let_159))) (let ((_let_161 (tptp.c0_1 tptp.a142))) (let ((_let_162 (or _let_83 _let_161))) (let ((_let_163 (tptp.c3_1 tptp.a143))) (let ((_let_164 (or _let_87 _let_163))) (let ((_let_165 (tptp.c2_1 tptp.a143))) (let ((_let_166 (or _let_87 _let_165))) (let ((_let_167 (tptp.c3_1 tptp.a153))) (let ((_let_168 (or _let_92 _let_167))) (let ((_let_169 (tptp.c2_1 tptp.a153))) (let ((_let_170 (or _let_92 _let_169))) (let ((_let_171 (tptp.c1_1 tptp.a155))) (let ((_let_172 (or _let_97 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_let_196))) (let ((_let_198 (not tptp.hskp30))) (let ((_let_199 (or tptp.hskp12 tptp.hskp19 tptp.hskp13))) (let ((_let_200 (or tptp.hskp27 tptp.hskp3 tptp.hskp15))) (let ((_let_201 (or _let_41 tptp.ndr1_0))) (let ((_let_202 (or _let_92 tptp.ndr1_0))) (let ((_let_203 (or _let_183 tptp.ndr1_0))) (let ((_let_204 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_205 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_206 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))))) (let ((_let_207 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_208 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_209 (not _let_171))) (let ((_let_210 (or _let_209 _let_101 _let_98))) (let ((_let_211 (tptp.c1_1 tptp.a132))) (let ((_let_212 (not _let_211))) (let ((_let_213 (or _let_212 _let_67 _let_64))) (let 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_478 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_477)) :args _let_476)))) (let ((_let_605 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_606 (not _let_605))) (let ((_let_607 (or _let_606 _let_553 _let_551))) (let ((_let_608 (or _let_606 _let_551 _let_550))) (let ((_let_609 (not _let_550))) (let ((_let_610 (or _let_609 _let_553 _let_551))) (let ((_let_611 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_612 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_613 (or _let_543 _let_541 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)))) (let ((_let_614 (not _let_539))) (let ((_let_615 (or _let_543 _let_614 _let_541))) (let ((_let_616 (not _let_554))) (let ((_let_617 (not _let_544))) (let ((_let_618 (_let_317))) (let ((_let_619 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_618)) :args _let_618)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_317) _let_231))) (REFL :args ((not _let_607))) :args _let_498)))) (let ((_let_620 (REFL :args (_let_607)))) (let ((_let_621 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_607 1)) (CONG _let_620 (MACRO_SR_PRED_INTRO :args ((= (not _let_553) _let_552))) :args _let_498)) :args ((or _let_552 _let_607))))) (let ((_let_622 (CNF_OR_NEG :args (_let_607 2)))) (let ((_let_623 (REORDERING (CNF_OR_POS :args (_let_610)) :args ((or _let_553 _let_551 _let_609 (not _let_610)))))) (let ((_let_624 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_491 (= U V)))) _let_590 :args ((not _let_611) true _let_491)))) (let ((_let_625 (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_626 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_627 (not _let_173))) (let ((_let_628 (or _let_246 _let_627 _let_105))) (let ((_let_629 (not _let_608))) (let ((_let_630 (_let_612))) (let ((_let_631 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_630) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_630)))) (let ((_let_632 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_208 (= U W)))))) (let ((_let_633 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_634 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_300 (= U U)))))) (let ((_let_635 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_532 :args (tptp.a160 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_531)) :args _let_530)))) (let ((_let_636 (not _let_628))) (let ((_let_637 (MACRO_RESOLUTION_TRUST _let_521 (REORDERING (CNF_OR_POS :args (_let_628)) :args ((or _let_105 _let_627 _let_246 _let_636))) _let_520 _let_519 (ASSUME :args (_let_174)) :args ((or _let_104 _let_517 _let_636) true _let_244 true _let_105 true _let_108 false _let_173)))) (let ((_let_638 (not _let_612))) (let ((_let_639 (_let_638))) (let ((_let_640 (REFL :args (_let_613)))) (let ((_let_641 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_613 0)) (CONG _let_640 (MACRO_SR_PRED_INTRO :args ((= (not _let_543) _let_542))) :args _let_498)) :args ((or _let_542 _let_613))))) (let ((_let_642 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_613 1)) (CONG _let_640 (MACRO_SR_PRED_INTRO :args ((= (not _let_541) _let_540))) :args _let_498)) :args ((or _let_540 _let_613))))) (let ((_let_643 (not _let_615))) (let ((_let_644 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)) _let_404 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_615)) :args ((or _let_543 _let_541 _let_614 _let_643))) _let_642 _let_641 :args ((or _let_613 _let_614 _let_643) false _let_540 false _let_542)) _let_400 _let_333 (REORDERING (CNF_OR_POS :args (_let_544)) :args ((or _let_543 _let_541 _let_539 _let_617))) _let_398 _let_642 _let_641 _let_393 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_639)) :args _let_639)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_638) _let_612))) (REFL :args ((not _let_613))) :args _let_498)) _let_391 _let_631 (MACRO_RESOLUTION_TRUST _let_637 _let_635 _let_514 _let_634 _let_497 _let_633 _let_333 _let_502 _let_333 _let_632 _let_484 _let_227 _let_230 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 tptp.hskp0 _let_334 _let_612))) _let_333 _let_631 _let_623 (REORDERING (CNF_OR_POS :args (_let_608)) :args ((or _let_606 _let_551 _let_550 _let_629))) _let_622 _let_621 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_607 0)) (CONG _let_620 (MACRO_SR_PRED_INTRO :args ((= (not _let_606) _let_605))) :args _let_498)) :args ((or _let_605 _let_607))) _let_523 _let_333 _let_619 _let_449 :args ((or tptp.hskp0 _let_231 _let_490 _let_611 _let_629) false _let_628 false _let_245 false _let_300 false _let_219 false _let_626 false tptp.ndr1_0 false _let_485 false tptp.ndr1_0 true _let_625 true _let_239 true _let_208 true _let_210 false tptp.hskp17 false tptp.ndr1_0 true _let_612 true _let_610 false _let_550 true _let_551 false _let_552 false _let_605 false tptp.hskp18 false tptp.ndr1_0 true _let_607 true _let_232)) _let_599 _let_624 _let_623 (REORDERING (CNF_OR_NEG :args (_let_608 2)) :args ((or _let_609 _let_608))) (REORDERING (CNF_OR_POS :args (_let_554)) :args ((or _let_553 _let_551 _let_550 _let_616))) _let_622 _let_621 _let_619 :args ((or _let_231 _let_206 _let_617 _let_616) false _let_262 true _let_615 false _let_397 false tptp.ndr1_0 false _let_539 true _let_396 false _let_540 false _let_542 true _let_207 true _let_613 true _let_249 true _let_612 false tptp.hskp0 true _let_490 true _let_611 true _let_610 false _let_608 false _let_550 true _let_551 false _let_552 true _let_607)))) (let ((_let_645 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_266 (= U U)))))) (let ((_let_646 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_491 (= U V)))) _let_590 :args ((not _let_579) true _let_491)))) (let ((_let_647 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 _let_334 _let_578 _let_579))))) (let ((_let_648 (REORDERING (CNF_OR_POS :args (_let_580)) :args ((or _let_285 _let_279 _let_278 (not _let_580)))))) (let ((_let_649 (_let_581))) (let ((_let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_649) :args (tptp.a136 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_649)))) (let ((_let_651 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_581 (= U U)))))) (let ((_let_652 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_653 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_272 (= U W)))))) (let ((_let_654 (MACRO_RESOLUTION_TRUST _let_653 _let_443 _let_652 _let_333 _let_446 _let_651 _let_447 _let_333 _let_650 _let_444 _let_648 _let_441 _let_453 _let_452 _let_451 _let_438 _let_647 _let_333 _let_646 _let_432 _let_333 _let_645 _let_430 _let_427 _let_425 _let_333 _let_324 _let_322 _let_644 _let_424 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_386 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_385)) :args _let_384)) (REORDERING (CNF_OR_POS :args (_let_577)) :args ((or _let_572 _let_570 _let_576 (not _let_577)))) (REORDERING (CNF_OR_POS :args (_let_575)) :args ((or _let_572 _let_570 _let_574 (not _let_575)))) _let_604 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_478 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_477)) :args _let_476)) _let_603 (CNF_OR_NEG :args (_let_573 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_573 1)) (CONG (REFL :args (_let_573)) (MACRO_SR_PRED_INTRO :args ((= (not _let_572) _let_571))) :args _let_498)) :args ((or _let_571 _let_573))) _let_602 _let_333 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_601)) :args _let_601)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_566) _let_327))) (REFL :args ((not _let_573))) :args _let_498)) _let_600 _let_361 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args (tptp.a142 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_421)) _let_595 _let_358 (REORDERING (CNF_OR_POS :args (_let_569)) :args ((or _let_347 _let_349 _let_350 (not _let_569)))) _let_594 _let_357 _let_356 _let_369 _let_333 _let_230 _let_227 _let_484 _let_502 _let_333 _let_599 _let_497 _let_598 _let_597 _let_565 _let_345 _let_344 _let_343 _let_596 _let_536 _let_535 _let_564 _let_332 _let_561 _let_535 _let_589 _let_562 _let_533 _let_337 _let_557 _let_556 _let_342 (MACRO_RESOLUTION_TRUST _let_418 _let_393 _let_595 _let_391 _let_594 _let_523 _let_333 _let_357 _let_522 _let_515 _let_356 _let_514 _let_368 _let_345 _let_343 _let_510 _let_370 _let_333 _let_592 _let_333 _let_591 _let_449 _let_484 _let_395 _let_371 _let_586 _let_394 _let_322 _let_227 _let_324 _let_230 _let_335 _let_333 _let_483 _let_333 _let_482 _let_338 :args ((or tptp.hskp13 _let_236) true _let_207 true _let_206 true _let_249 true _let_568 false tptp.hskp0 false tptp.ndr1_0 false _let_346 true tptp.hskp18 false _let_247 false _let_348 false _let_245 false _let_241 true _let_84 false _let_161 false _let_219 false _let_240 false tptp.ndr1_0 false tptp.hskp12 false tptp.ndr1_0 true _let_585 true _let_232 true _let_239 true _let_204 true _let_238 true _let_584 true _let_205 true _let_231 true _let_208 true _let_308 true _let_210 false tptp.hskp15 false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 true _let_222 true _let_309)) :args (tptp.hskp13 true _let_272 false _let_583 false tptp.ndr1_0 true _let_276 true _let_582 false tptp.hskp8 false tptp.ndr1_0 true _let_581 true _let_265 true _let_580 true _let_261 false _let_191 false _let_194 false _let_196 true _let_256 false tptp.hskp29 false tptp.ndr1_0 true _let_579 false tptp.hskp24 false tptp.ndr1_0 true _let_578 true _let_266 true _let_316 false tptp.hskp3 false tptp.ndr1_0 true tptp.hskp15 false _let_308 false _let_231 true _let_314 true _let_313 true _let_577 false _let_574 false _let_554 false _let_575 false _let_287 true _let_570 false _let_571 false _let_549 false tptp.ndr1_0 true _let_573 true _let_548 true _let_327 true _let_283 true _let_206 true _let_351 true _let_569 true _let_568 false _let_346 false _let_348 false _let_241 false tptp.ndr1_0 true tptp.hskp17 false _let_210 false _let_208 false _let_239 false tptp.ndr1_0 true _let_490 true _let_485 true _let_219 true _let_567 true _let_547 true _let_84 false _let_159 false _let_161 true _let_218 true _let_67 true _let_64 true _let_546 false tptp.hskp12 true _let_211 true _let_64 false _let_151 true _let_545 false tptp.hskp7 true tptp.hskp19 false _let_544 false _let_538 false _let_235 false _let_236)))) (let ((_let_655 (MACRO_RESOLUTION_TRUST _let_373 _let_654 :args (_let_163 false tptp.hskp13)))) (let ((_let_656 (MACRO_RESOLUTION_TRUST _let_372 _let_654 :args (_let_165 false tptp.hskp13)))) (let ((_let_657 (MACRO_RESOLUTION_TRUST _let_374 _let_654 :args (_let_89 false tptp.hskp13)))) (let ((_let_658 (MACRO_RESOLUTION_TRUST _let_380 (MACRO_RESOLUTION_TRUST _let_377 _let_657 _let_656 _let_655 :args (_let_376 true _let_88 false _let_165 false _let_163)) :args (_let_566 true _let_325)))) (let ((_let_659 (MACRO_RESOLUTION_TRUST _let_564 (MACRO_RESOLUTION_TRUST _let_413 _let_405 _let_416 _let_403 _let_402 _let_401 _let_417 _let_333 _let_399 _let_333 _let_415 _let_395 _let_394 _let_409 _let_227 _let_404 _let_230 _let_400 _let_333 _let_369 _let_333 _let_398 _let_355 _let_393 _let_366 _let_391 _let_365 _let_364 _let_363 _let_389 _let_333 _let_362 _let_333 _let_562 _let_337 _let_556 _let_342 :args ((or _let_328 _let_327 _let_206 _let_555 _let_558) true _let_252 false _let_253 true _let_49 false _let_147 false _let_149 false _let_255 false tptp.ndr1_0 false tptp.hskp4 false tptp.ndr1_0 true tptp.hskp28 true _let_204 true _let_205 false _let_260 true _let_208 false _let_262 true _let_210 false _let_397 false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 true _let_396 true _let_241 true _let_207 true _let_330 true _let_249 true _let_118 true _let_121 false _let_179 false tptp.hskp0 false tptp.ndr1_0 false tptp.hskp22 false tptp.ndr1_0 true tptp.hskp7 true tptp.hskp19 false _let_538 false _let_235)) _let_658 _let_597 _let_419 _let_652 _let_333 _let_433 _let_333 _let_653 _let_439 _let_443 _let_446 _let_651 _let_447 _let_333 _let_650 _let_444 _let_648 _let_441 _let_453 _let_452 _let_451 _let_438 _let_647 _let_333 _let_646 _let_432 _let_333 _let_431 _let_645 _let_430 _let_427 _let_425 _let_333 _let_388 _let_424 _let_387 _let_383 _let_423 _let_379 _let_657 _let_655 _let_378 _let_657 _let_656 _let_420 _let_655 _let_656 _let_324 _let_375 _let_655 _let_656 _let_322 _let_321 :args (_let_317 true _let_545 true _let_327 false _let_546 false _let_236 false _let_567 false tptp.ndr1_0 false _let_237 false tptp.ndr1_0 true _let_583 true _let_268 true _let_272 true _let_276 true _let_582 false tptp.hskp8 false tptp.ndr1_0 true _let_581 true _let_265 true _let_580 true _let_261 false _let_191 false _let_194 false _let_196 true _let_256 false tptp.hskp29 false tptp.ndr1_0 true _let_579 false tptp.hskp24 false tptp.ndr1_0 true _let_267 true _let_578 true _let_266 true _let_316 false tptp.hskp3 false tptp.ndr1_0 true _let_328 true _let_314 true _let_313 true _let_206 true _let_283 true _let_312 true _let_88 false _let_163 true _let_326 true _let_88 false _let_165 true _let_311 false _let_163 false _let_165 true tptp.hskp15 false _let_302 false _let_163 false _let_165 false _let_308 false _let_305)))) (let ((_let_660 (MACRO_RESOLUTION_TRUST _let_383 _let_378 _let_657 _let_656 _let_644 _let_659 _let_480 _let_657 _let_655 _let_604 _let_479 _let_603 _let_602 _let_333 (MACRO_RESOLUTION_TRUST _let_600 _let_658 :args ((not _let_548) true _let_327)) _let_565 _let_564 _let_562 _let_533 _let_557 _let_556 :args (_let_555 true _let_326 true _let_88 false _let_165 false _let_206 true _let_231 false _let_302 true _let_88 false _let_163 false _let_554 false _let_458 false _let_287 false _let_549 false tptp.ndr1_0 true _let_548 true _let_547 true _let_546 true _let_545 false tptp.hskp7 false _let_544 false _let_538)))) (let ((_let_661 (MACRO_RESOLUTION_TRUST _let_482 _let_660 :args ((not _let_222) true _let_236)))) (let ((_let_662 (MACRO_RESOLUTION_TRUST _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (tptp.a182 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_506)) :args _let_505)) _let_501 _let_333 _let_661 (REORDERING (CNF_OR_POS :args (_let_221)) :args ((or _let_132 _let_126 _let_214 (not _let_221)))) _let_496 (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_132 _let_129 _let_215 (not _let_216)))) _let_598 _let_437 _let_436 _let_435 _let_596 _let_536 _let_535 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp17 _let_334 _let_217))) _let_333 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_236 (= U U)))) _let_660 :args ((not _let_217) true _let_236)) (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_67 _let_64 _let_212 (not _let_213)))) _let_536 _let_535 _let_230 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (tptp.a182 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_225)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (tptp.a132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_225)) _let_227 :args ((not _let_208) true _let_224 false _let_223 false tptp.ndr1_0 true _let_222 true _let_221 true _let_220 true _let_214 true _let_219 true _let_126 true _let_129 true _let_132 true _let_218 true _let_67 true _let_64 false tptp.hskp24 false tptp.ndr1_0 true _let_217 true _let_211 true _let_67 true _let_64 true tptp.hskp17 false _let_216 false _let_213 false _let_210)))) (let ((_let_663 (or _let_347 _let_349 _let_346))) (let ((_let_664 (MACRO_RESOLUTION_TRUST _let_634 (MACRO_RESOLUTION_TRUST _let_633 _let_333 _let_624 (MACRO_RESOLUTION_TRUST _let_632 _let_662 :args ((not _let_625) true _let_208)) :args (_let_626 false tptp.ndr1_0 true _let_611 true _let_625)) :args (_let_300 false _let_626)))) (let ((_let_665 (MACRO_RESOLUTION_TRUST _let_592 _let_333 _let_591 (MACRO_RESOLUTION_TRUST _let_586 _let_662 :args ((not _let_584) true _let_208)) :args (tptp.hskp12 false tptp.ndr1_0 true _let_585 true _let_584)))) (let ((_let_666 (not _let_663))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_418 (MACRO_RESOLUTION_TRUST _let_393 (MACRO_RESOLUTION_TRUST _let_391 (MACRO_RESOLUTION_TRUST _let_523 (MACRO_RESOLUTION_TRUST _let_637 (MACRO_RESOLUTION_TRUST _let_514 (MACRO_RESOLUTION_TRUST _let_510 _let_661 (MACRO_RESOLUTION_TRUST _let_484 _let_662 :args ((not _let_239) true _let_208)) :args (_let_219 true _let_222 true _let_239)) :args (_let_245 false _let_219)) (MACRO_RESOLUTION_TRUST _let_635 _let_664 :args (_let_628 false _let_300)) :args (_let_104 false _let_245 false _let_628)) _let_333 (MACRO_RESOLUTION_TRUST _let_449 _let_659 :args ((not _let_232) true _let_231)) :args (tptp.hskp0 true tptp.hskp18 false tptp.ndr1_0 true _let_232)) :args (_let_390 false tptp.hskp0)) :args ((not _let_207) true _let_249)) (MACRO_RESOLUTION_TRUST _let_595 (MACRO_RESOLUTION_TRUST _let_594 (MACRO_RESOLUTION_TRUST _let_345 _let_665 :args (_let_85 false tptp.hskp12)) (MACRO_RESOLUTION_TRUST _let_343 _let_665 :args (_let_161 false tptp.hskp12)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_663)) :args ((or _let_347 _let_349 _let_346 _let_666))) _let_344 _let_343 :args ((or _let_83 _let_346 _let_666) false _let_159 false _let_161)) _let_665 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_532 :args (tptp.a142 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_531)) :args _let_530)) _let_664 :args (_let_663 false _let_300)) :args (_let_346 false tptp.hskp12 false _let_663)) :args (_let_593 true _let_84 false _let_161 false _let_346)) :args ((not _let_206) true _let_568)) (MACRO_RESOLUTION_TRUST _let_394 _let_662 :args ((not _let_205) true _let_208)) (MACRO_RESOLUTION_TRUST _let_395 _let_662 :args ((not _let_204) true _let_208)) :args (false true _let_207 true _let_206 true _let_205 true _let_204)) :args ((or _let_198 tptp.ndr1_0) (or _let_192 tptp.ndr1_0) (or _let_185 tptp.ndr1_0) _let_203 (or _let_142 tptp.ndr1_0) (or _let_135 tptp.ndr1_0) (or _let_125 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_117 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_115 tptp.ndr1_0) (or _let_111 tptp.ndr1_0) (or _let_104 tptp.ndr1_0) (or _let_97 tptp.ndr1_0) (or _let_96 tptp.ndr1_0) _let_202 (or _let_91 tptp.ndr1_0) (or _let_87 tptp.ndr1_0) (or _let_83 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_81 tptp.ndr1_0) (or _let_77 tptp.ndr1_0) (or _let_70 tptp.ndr1_0) (or _let_63 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_52 tptp.ndr1_0) (or _let_48 tptp.ndr1_0) _let_201 (or _let_40 tptp.ndr1_0) (or _let_39 tptp.ndr1_0) (or _let_32 tptp.ndr1_0) (or tptp.hskp30 tptp.hskp9 tptp.hskp6) _let_200 (or tptp.hskp21 tptp.hskp20 tptp.hskp6) (or tptp.hskp26 tptp.hskp20 tptp.hskp15) _let_199 (or tptp.hskp2 tptp.hskp19 tptp.hskp8) (or _let_198 (tptp.c0_1 tptp.a167)) (or _let_198 (tptp.c1_1 tptp.a167)) (or _let_198 (tptp.c3_1 tptp.a167)) _let_197 _let_195 _let_193 _let_190 _let_188 _let_186 (or _let_183 (tptp.c0_1 tptp.a122)) (or _let_183 (tptp.c2_1 tptp.a122)) (or _let_183 (tptp.c3_1 tptp.a122)) (or _let_142 (tptp.c0_1 tptp.a225)) (or _let_142 (tptp.c2_1 tptp.a225)) _let_182 (or _let_124 (tptp.c2_1 tptp.a179)) _let_180 (or _let_116 (tptp.c0_1 tptp.a170)) (or _let_116 (tptp.c2_1 tptp.a170)) (or _let_115 (tptp.c1_1 tptp.a168)) _let_178 _let_176 _let_174 _let_172 (or _let_96 (tptp.c1_1 tptp.a154)) (or _let_96 (tptp.c3_1 tptp.a154)) _let_170 _let_168 (or _let_91 (tptp.c0_1 tptp.a147)) _let_166 _let_164 _let_162 _let_160 (or _let_81 (tptp.c0_1 tptp.a140)) _let_158 _let_156 _let_154 _let_152 _let_150 _let_148 _let_146 (or _let_40 (tptp.c1_1 tptp.a125)) (or _let_40 (tptp.c2_1 tptp.a125)) (or _let_39 (tptp.c1_1 tptp.a124)) (or _let_39 (tptp.c2_1 tptp.a124)) _let_144 (or (not (tptp.c3_1 tptp.a225)) _let_142) _let_141 _let_138 _let_134 _let_131 _let_128 (or (not (tptp.c1_1 tptp.a179)) _let_124) (or (not (tptp.c3_1 tptp.a179)) _let_124) _let_123 _let_120 (or (not (tptp.c1_1 tptp.a170)) _let_116) (or (not (tptp.c0_1 tptp.a168)) _let_115) (or (not (tptp.c3_1 tptp.a168)) _let_115) _let_114 _let_110 _let_107 _let_103 _let_100 (or (not (tptp.c0_1 tptp.a154)) _let_96) _let_95 (or (not (tptp.c1_1 tptp.a147)) _let_91) (or (not (tptp.c3_1 tptp.a147)) _let_91) _let_90 _let_86 (or (not (tptp.c1_1 tptp.a141)) _let_82) (or (not (tptp.c2_1 tptp.a141)) _let_82) (or (not (tptp.c3_1 tptp.a141)) _let_82) (or (not (tptp.c2_1 tptp.a140)) _let_81) (or (not (tptp.c3_1 tptp.a140)) _let_81) _let_80 _let_76 _let_73 _let_69 _let_66 _let_62 _let_59 _let_56 (or (not (tptp.c0_1 tptp.a130)) _let_52) (or (not (tptp.c1_1 tptp.a130)) _let_52) (or (not (tptp.c3_1 tptp.a130)) _let_52) _let_51 _let_47 _let_44 (or (not (tptp.c0_1 tptp.a125)) _let_40) (or (not (tptp.c3_1 tptp.a124)) _let_39) _let_38 _let_35 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp2 tptp.hskp1)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp29 tptp.hskp7)) _let_31 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp10 tptp.hskp11)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp2 tptp.hskp16)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp28 tptp.hskp8)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp28 tptp.hskp3)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp14 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp10 tptp.hskp15)) _let_30 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp20)) _let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp22)) _let_28 _let_27 _let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp21 tptp.hskp6)) _let_25 _let_24 _let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp8 tptp.hskp23)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp9 tptp.hskp22)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp10 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp1 tptp.hskp3)) _let_22 _let_21 _let_20 _let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp12 tptp.hskp11)) _let_18 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp27 tptp.hskp19)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp23)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp14 tptp.hskp25)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp22 tptp.hskp10)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp2 tptp.hskp19)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp9 tptp.hskp8)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp3 tptp.hskp13)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp27)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)) _let_17 _let_16 _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp14)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp12)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp27)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp6)) _let_13 _let_12 _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp12)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp9)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp16)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp6)) _let_10 _let_9 _let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W))) _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W))) _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) _let_2 _let_1 (forall ((U $$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.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c3_1 V) (tptp.c1_1 W))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.74  )
% 0.21/0.74  % SZS output end Proof for SYN499-1
% 0.21/0.74  % cvc5---1.0.5 exiting
% 0.21/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------