TSTP Solution File: SYN505-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN505-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 02:03:44 EDT 2023
% Result : Unsatisfiable 0.21s 0.72s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN505-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.18/0.36 % Computer : n028.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Sat Aug 26 21:55:37 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hFQHTorDFX/cvc5---1.0.5_30666.p...
% 0.21/0.54 ------- get file name : TPTP file name is SYN505-1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30666.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.72 % SZS status Unsatisfiable for SYN505-1
% 0.21/0.72 % SZS output start Proof for SYN505-1
% 0.21/0.75 (
% 0.21/0.75 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp18)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp16)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp12)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V))))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp14 tptp.hskp25)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp24 tptp.hskp8)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp5 tptp.hskp17)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp17 tptp.hskp21)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp18 tptp.hskp6)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp7 tptp.hskp17)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp11 tptp.hskp9)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp17 tptp.hskp9)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp18 tptp.hskp19)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp7 tptp.hskp16)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp5 tptp.hskp12)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp7 tptp.hskp8)))) (let ((_let_30 (not tptp.hskp0))) (let ((_let_31 (not tptp.hskp1))) (let ((_let_32 (not tptp.hskp2))) (let ((_let_33 (tptp.c2_1 tptp.a464))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (tptp.c0_1 tptp.a464))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_32))) (let ((_let_39 (not tptp.hskp3))) (let ((_let_40 (not tptp.hskp4))) (let ((_let_41 (not tptp.hskp5))) (let ((_let_42 (tptp.c3_1 tptp.a467))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (tptp.c1_1 tptp.a467))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (not tptp.hskp6))) (let ((_let_49 (tptp.c2_1 tptp.a470))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48))) (let ((_let_52 (tptp.c1_1 tptp.a470))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_48))) (let ((_let_55 (tptp.c0_1 tptp.a470))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_48))) (let ((_let_58 (not tptp.hskp7))) (let ((_let_59 (tptp.c2_1 tptp.a471))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58))) (let ((_let_62 (not tptp.hskp8))) (let ((_let_63 (tptp.c2_1 tptp.a472))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (not tptp.hskp9))) (let ((_let_67 (tptp.c1_1 tptp.a477))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66))) (let ((_let_70 (not tptp.hskp10))) (let ((_let_71 (tptp.c3_1 tptp.a478))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (tptp.c0_1 tptp.a478))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_70))) (let ((_let_77 (not tptp.hskp11))) (let ((_let_78 (tptp.c1_1 tptp.a479))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (not tptp.hskp12))) (let ((_let_82 (tptp.c3_1 tptp.a481))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81))) (let ((_let_85 (tptp.c0_1 tptp.a481))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_81))) (let ((_let_88 (not tptp.hskp13))) (let ((_let_89 (not tptp.hskp14))) (let ((_let_90 (tptp.c0_1 tptp.a483))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (not tptp.hskp15))) (let ((_let_94 (not tptp.hskp16))) (let ((_let_95 (tptp.c2_1 tptp.a487))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (tptp.c1_1 tptp.a487))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_94))) (let ((_let_101 (not tptp.hskp17))) (let ((_let_102 (tptp.c0_1 tptp.a493))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (not tptp.hskp18))) (let ((_let_106 (tptp.c3_1 tptp.a494))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105))) (let ((_let_109 (tptp.c2_1 tptp.a494))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_105))) (let ((_let_112 (not tptp.hskp19))) (let ((_let_113 (tptp.c3_1 tptp.a500))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112))) (let ((_let_116 (tptp.c2_1 tptp.a500))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_112))) (let ((_let_119 (not tptp.hskp20))) (let ((_let_120 (not tptp.hskp21))) (let ((_let_121 (tptp.c0_1 tptp.a507))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120))) (let ((_let_124 (not tptp.hskp22))) (let ((_let_125 (not tptp.hskp23))) (let ((_let_126 (not tptp.hskp24))) (let ((_let_127 (tptp.c2_1 tptp.a525))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126))) (let ((_let_130 (not tptp.hskp25))) (let ((_let_131 (tptp.c0_1 tptp.a545))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (not tptp.hskp26))) (let ((_let_135 (not tptp.hskp27))) (let ((_let_136 (tptp.c3_1 tptp.a576))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135))) (let ((_let_139 (tptp.c2_1 tptp.a576))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_135))) (let ((_let_142 (tptp.c1_1 tptp.a576))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_135))) (let ((_let_145 (tptp.c3_1 tptp.a464))) (let ((_let_146 (or _let_32 _let_145))) (let ((_let_147 (tptp.c0_1 tptp.a467))) (let ((_let_148 (or _let_41 _let_147))) (let ((_let_149 (tptp.c3_1 tptp.a471))) (let ((_let_150 (or _let_58 _let_149))) (let ((_let_151 (tptp.c0_1 tptp.a471))) (let ((_let_152 (or _let_58 _let_151))) (let ((_let_153 (tptp.c3_1 tptp.a472))) (let ((_let_154 (or _let_62 _let_153))) (let ((_let_155 (tptp.c1_1 tptp.a472))) (let ((_let_156 (or _let_62 _let_155))) (let ((_let_157 (tptp.c3_1 tptp.a477))) (let ((_let_158 (or _let_66 _let_157))) (let ((_let_159 (tptp.c2_1 tptp.a477))) (let ((_let_160 (or _let_66 _let_159))) (let ((_let_161 (tptp.c2_1 tptp.a478))) (let ((_let_162 (or _let_70 _let_161))) (let ((_let_163 (tptp.c3_1 tptp.a479))) (let ((_let_164 (or _let_77 _let_163))) (let ((_let_165 (tptp.c0_1 tptp.a479))) (let ((_let_166 (or _let_77 _let_165))) (let ((_let_167 (tptp.c1_1 tptp.a481))) (let ((_let_168 (or _let_81 _let_167))) (let ((_let_169 (tptp.c2_1 tptp.a483))) (let ((_let_170 (or _let_89 _let_169))) (let ((_let_171 (tptp.c1_1 tptp.a483))) (let ((_let_172 (or _let_89 _let_171))) (let ((_let_173 (tptp.c0_1 tptp.a487))) (let ((_let_174 (or _let_94 _let_173))) (let ((_let_175 (tptp.c3_1 tptp.a493))) (let ((_let_176 (or _let_101 _let_175))) (let ((_let_177 (tptp.c2_1 tptp.a493))) (let ((_let_178 (or _let_101 _let_177))) (let ((_let_179 (tptp.c0_1 tptp.a494))) (let ((_let_180 (or _let_105 _let_179))) (let ((_let_181 (tptp.c1_1 tptp.a500))) (let ((_let_182 (or _let_112 _let_181))) (let ((_let_183 (tptp.c2_1 tptp.a507))) (let ((_let_184 (or _let_120 _let_183))) (let ((_let_185 (tptp.c1_1 tptp.a525))) (let ((_let_186 (or _let_126 _let_185))) (let ((_let_187 (tptp.c0_1 tptp.a525))) (let ((_let_188 (or _let_126 _let_187))) (let ((_let_189 (tptp.c3_1 tptp.a545))) (let ((_let_190 (or _let_130 _let_189))) (let ((_let_191 (tptp.c1_1 tptp.a545))) (let ((_let_192 (or _let_130 _let_191))) (let ((_let_193 (not tptp.hskp28))) (let ((_let_194 (tptp.c2_1 tptp.a474))) (let ((_let_195 (not tptp.hskp29))) (let ((_let_196 (or _let_195 _let_194))) (let ((_let_197 (tptp.c1_1 tptp.a474))) (let ((_let_198 (or _let_195 _let_197))) (let ((_let_199 (tptp.c0_1 tptp.a474))) (let ((_let_200 (or _let_195 _let_199))) (let ((_let_201 (not tptp.hskp30))) (let ((_let_202 (not tptp.hskp31))) (let ((_let_203 (or tptp.hskp7 tptp.hskp8 tptp.hskp27))) (let ((_let_204 (or tptp.hskp11 tptp.hskp12 tptp.hskp9))) (let ((_let_205 (or tptp.hskp0 tptp.hskp30 tptp.hskp10))) (let ((_let_206 (or _let_30 tptp.ndr1_0))) (let ((_let_207 (or _let_70 tptp.ndr1_0))) (let ((_let_208 (or _let_201 tptp.ndr1_0))) (let ((_let_209 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_210 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_211 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_212 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_213 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_214 (or _let_209 _let_212 _let_213))) (let ((_let_215 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_216 (not _let_214))) (let ((_let_217 (or _let_55 _let_52 _let_49))) (let ((_let_218 (not _let_215))) (let ((_let_219 (not _let_217))) (let ((_let_220 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_221 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_222 (not _let_175))) (let ((_let_223 (not _let_177))) (let ((_let_224 (or _let_223 _let_222 _let_102))) (let ((_let_225 (not _let_221))) (let ((_let_226 (not _let_224))) (let ((_let_227 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_228 (not _let_147))) (let ((_let_229 (or _let_228 _let_45 _let_42))) (let ((_let_230 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_231 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_232 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_233 (not _let_194))) (let ((_let_234 (not _let_197))) (let ((_let_235 (not _let_199))) (let ((_let_236 (or _let_235 _let_234 _let_233))) (let ((_let_237 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_238 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_239 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_240 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_241 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_242 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V))))) (let ((_let_243 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c0_1 U))))) (let ((_let_244 (not _let_157))) (let ((_let_245 (not _let_159))) (let ((_let_246 (or _let_245 _let_244 _let_67))) (let ((_let_247 (not _let_145))) (let ((_let_248 (or _let_247 _let_36 _let_33))) (let ((_let_249 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_250 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_251 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_252 (not _let_251))) (let ((_let_253 (or _let_252 _let_250 _let_249))) (let ((_let_254 (not _let_249))) (let ((_let_255 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_256 (not _let_255))) (let ((_let_257 (or _let_256 _let_254 _let_250))) (let ((_let_258 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))))) (let ((_let_259 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_260 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_261 (not _let_260))) (let ((_let_262 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_263 (not _let_262))) (let ((_let_264 (or _let_263 _let_261 _let_259))) (let ((_let_265 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_266 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_267 (not _let_149))) (let ((_let_268 (tptp.c1_1 tptp.a471))) (let ((_let_269 (not _let_268))) (let ((_let_270 (not _let_151))) (let ((_let_271 (or _let_270 _let_269 _let_267))) (let ((_let_272 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))))) (let ((_let_273 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c1_1 U))))) (let ((_let_274 (tptp.c2_1 tptp.a467))) (let ((_let_275 (not _let_274))) (let ((_let_276 (or _let_228 _let_275 _let_45))) (let ((_let_277 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_278 (not _let_277))) (let ((_let_279 (or _let_278 _let_263 _let_259))) (let ((_let_280 (or _let_228 _let_274 _let_42))) (let ((_let_281 (or _let_263 _let_261 _let_277))) (let ((_let_282 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_283 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_284 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_285 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_286 (not _let_285))) (let ((_let_287 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_288 (not _let_287))) (let ((_let_289 (or _let_288 _let_286 _let_284))) (let ((_let_290 (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_291 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_292 (or _let_288 _let_284 _let_291))) (let ((_let_293 (not _let_291))) (let ((_let_294 (or _let_293 _let_286 _let_284))) (let ((_let_295 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_296 (or _let_256 _let_252 _let_250))) (let ((_let_297 (or _let_270 _let_267 _let_59))) (let ((_let_298 (not _let_297))) (let ((_let_299 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_300 (tptp.c0_1 tptp.a477))) (let ((_let_301 (or _let_245 _let_244 _let_300))) (let ((_let_302 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_303 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_304 (not _let_173))) (let ((_let_305 (or _let_304 _let_98 _let_95))) (let ((_let_306 (not _let_300))) (let ((_let_307 (or _let_306 _let_245 _let_244))) (let ((_let_308 (not _let_169))) (let ((_let_309 (not _let_171))) (let ((_let_310 (or _let_309 _let_308 _let_90))) (let ((_let_311 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_312 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_313 (not _let_189))) (let ((_let_314 (not _let_191))) (let ((_let_315 (or _let_314 _let_313 _let_131))) (let ((_let_316 (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c0_1 W))))) (let ((_let_317 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_318 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_319 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)))))) (let ((_let_320 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_321 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_322 (not _let_179))) (let ((_let_323 (or _let_322 _let_109 _let_106))) (let ((_let_324 (tptp.c3_1 tptp.a487))) (let ((_let_325 (or _let_304 _let_95 _let_324))) (let ((_let_326 (not _let_153))) (let ((_let_327 (not _let_155))) (let ((_let_328 (tptp.c0_1 tptp.a472))) (let ((_let_329 (not _let_328))) (let ((_let_330 (or _let_329 _let_327 _let_326))) (let ((_let_331 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))))) (let ((_let_332 (or _let_329 _let_327 _let_63))) (let ((_let_333 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_334 (not _let_324))) (let ((_let_335 (or _let_304 _let_334 _let_98))) (let ((_let_336 (not _let_161))) (let ((_let_337 (or _let_336 _let_74 _let_71))) (let ((_let_338 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_339 (tptp.c0_1 tptp.a576))) (let ((_let_340 (or _let_339 _let_139 _let_136))) (let ((_let_341 (or _let_142 _let_139 _let_136))) (let ((_let_342 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_343 (not _let_339))) (let ((_let_344 (or _let_343 _let_139 _let_136))) (let ((_let_345 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_346 (or _let_343 _let_142 _let_139))) (let ((_let_347 (tptp.c1_1 tptp.a493))) (let ((_let_348 (not _let_347))) (let ((_let_349 (or _let_348 _let_223 _let_102))) (let ((_let_350 (or _let_223 _let_222 _let_347))) (let ((_let_351 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_205)) :args ((or tptp.hskp30 tptp.hskp10 tptp.hskp0))) (REORDERING (ASSUME :args (_let_206)) :args ((or tptp.ndr1_0 _let_30))) (REORDERING (ASSUME :args (_let_207)) :args ((or tptp.ndr1_0 _let_70))) (REORDERING (ASSUME :args (_let_208)) :args ((or tptp.ndr1_0 _let_201))) :args (tptp.ndr1_0 true tptp.hskp0 true tptp.hskp10 true tptp.hskp30)))) (let ((_let_352 (not tptp.ndr1_0))) (let ((_let_353 (REORDERING (ASSUME :args (_let_203)) :args ((or tptp.hskp27 tptp.hskp8 tptp.hskp7))))) (let ((_let_354 (_let_338))) (let ((_let_355 ((not (= (tptp.c2_1 U) true))))) (let ((_let_356 (ASSUME :args _let_354))) (let ((_let_357 (REORDERING (ASSUME :args (_let_144)) :args ((or _let_135 _let_143))))) (let ((_let_358 (REORDERING (ASSUME :args (_let_141)) :args ((or _let_135 _let_140))))) (let ((_let_359 (REORDERING (ASSUME :args (_let_138)) :args ((or _let_135 _let_137))))) (let ((_let_360 (not _let_341))) (let ((_let_361 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_341)) :args ((or _let_142 _let_139 _let_136 _let_360))) _let_359 _let_358 _let_357 :args ((or _let_135 _let_360) true _let_136 true _let_139 true _let_142)))) (let ((_let_362 (_let_342))) (let ((_let_363 ((not (= (tptp.c1_1 V) true))))) (let ((_let_364 (ASSUME :args _let_362))) (let ((_let_365 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_364 :args (tptp.a576 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_362)))) (let ((_let_366 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_342 (= V V)))))) (let ((_let_367 (_let_282))) (let ((_let_368 ((not (= (tptp.c2_1 V) true))))) (let ((_let_369 (ASSUME :args _let_367))) (let ((_let_370 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_282 (= V V)))))) (let ((_let_371 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_372 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U U)))))) (let ((_let_373 (_let_232))) (let ((_let_374 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_373) :args (tptp.a474 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_373)))) (let ((_let_375 (not _let_236))) (let ((_let_376 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_236)) :args ((or _let_235 _let_234 _let_233 _let_375))) (ASSUME :args (_let_196)) (ASSUME :args (_let_198)) (ASSUME :args (_let_200)) :args ((or _let_195 _let_375) false _let_194 false _let_197 false _let_199)))) (let ((_let_377 (_let_237))) (let ((_let_378 ((not (= (tptp.c0_1 U) false))))) (let ((_let_379 (ASSUME :args _let_377))) (let ((_let_380 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_237 (= U U)))))) (let ((_let_381 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_237 (= U U)))))) (let ((_let_382 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_237 (= U U)))))) (let ((_let_383 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 tptp.hskp9 _let_352 _let_238))))) (let ((_let_384 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 _let_352 _let_239 _let_241))))) (let ((_let_385 (ASSUME :args (_let_160)))) (let ((_let_386 (ASSUME :args (_let_158)))) (let ((_let_387 (REORDERING (ASSUME :args (_let_69)) :args ((or _let_66 _let_68))))) (let ((_let_388 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= U V)))))) (let ((_let_389 (not _let_246))) (let ((_let_390 (REORDERING (CNF_OR_POS :args (_let_246)) :args ((or _let_67 _let_245 _let_244 _let_389))))) (let ((_let_391 (_let_211))) (let ((_let_392 ((not (= (tptp.c3_1 U) false))))) (let ((_let_393 (ASSUME :args _let_391))) (let ((_let_394 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_393 :args (tptp.a464 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_392)) :args _let_391)))) (let ((_let_395 (_let_210))) (let ((_let_396 ((not (= (tptp.c2_1 U) false))))) (let ((_let_397 (ASSUME :args _let_395))) (let ((_let_398 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (tptp.a477 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)))) (let ((_let_399 (not _let_248))) (let ((_let_400 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_36 _let_33 _let_247 _let_399))) (REORDERING (ASSUME :args (_let_35)) :args ((or _let_32 _let_34))) (REORDERING (ASSUME :args (_let_38)) :args ((or _let_32 _let_37))) (ASSUME :args (_let_146)) :args ((or _let_32 _let_399) true _let_33 true _let_36 false _let_145)))) (let ((_let_401 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_352 _let_210 _let_345))))) (let ((_let_402 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_403 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_243 (= U V)))))) (let ((_let_404 (_let_243))) (let ((_let_405 (ASSUME :args _let_404))) (let ((_let_406 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (tptp.a493 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_404)))) (let ((_let_407 (not _let_350))) (let ((_let_408 (not _let_349))) (let ((_let_409 (ASSUME :args (_let_178)))) (let ((_let_410 (ASSUME :args (_let_176)))) (let ((_let_411 (REORDERING (ASSUME :args (_let_104)) :args ((or _let_101 _let_103))))) (let ((_let_412 (REORDERING (CNF_OR_POS :args (_let_349)) :args ((or _let_102 _let_223 _let_348 _let_408))))) (let ((_let_413 (REORDERING (CNF_OR_POS :args (_let_350)) :args ((or _let_223 _let_222 _let_347 _let_407))))) (let ((_let_414 (MACRO_RESOLUTION_TRUST _let_413 _let_412 _let_411 _let_410 _let_409 :args ((or _let_101 _let_408 _let_407) true _let_347 true _let_102 false _let_175 false _let_177)))) (let ((_let_415 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (tptp.a493 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)))) (let ((_let_416 (MACRO_RESOLUTION_TRUST _let_415 _let_401 _let_351 _let_414 _let_400 _let_406 _let_394 _let_403 _let_388 _let_402 _let_351 _let_384 _let_351 (MACRO_RESOLUTION_TRUST _let_401 _let_351 _let_400 _let_398 _let_394 _let_390 _let_388 _let_387 _let_386 _let_385 _let_384 _let_351 _let_383 _let_351 _let_380 _let_382 :args ((or tptp.hskp29 tptp.hskp17 _let_237 _let_345) false tptp.ndr1_0 true tptp.hskp2 true _let_210 false _let_248 true _let_246 false _let_211 true _let_67 false _let_157 false _let_159 false _let_241 false tptp.ndr1_0 false tptp.hskp9 false tptp.ndr1_0 true _let_239 true _let_238)) _let_381 _let_380 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (tptp.a576 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)) (REORDERING (CNF_OR_POS :args (_let_346)) :args ((or _let_142 _let_139 _let_343 (not _let_346)))) _let_376 _let_374 _let_372 _let_371 _let_351 _let_370 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (tptp.a576 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_367)) _let_366 (REORDERING (CNF_OR_POS :args (_let_344)) :args ((or _let_139 _let_136 _let_343 (not _let_344)))) _let_365 (REORDERING (CNF_OR_POS :args (_let_340)) :args ((or _let_139 _let_136 _let_339 (not _let_340)))) _let_361 _let_359 _let_358 _let_357 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (tptp.a576 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) _let_353 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 tptp.hskp7 _let_352 _let_338))) _let_351 :args ((or tptp.hskp8 tptp.hskp7) false _let_210 false tptp.ndr1_0 true _let_350 true tptp.hskp2 false _let_349 false _let_248 false _let_243 false _let_211 false _let_242 false tptp.ndr1_0 false _let_241 false tptp.ndr1_0 false tptp.hskp17 true _let_240 true _let_239 true _let_237 true _let_346 true tptp.hskp29 false _let_236 false _let_232 false _let_317 false tptp.ndr1_0 true _let_320 true _let_282 true _let_345 true _let_344 true _let_342 false _let_339 true _let_341 true _let_136 true _let_139 true _let_142 false _let_340 false tptp.hskp27 false _let_338 false tptp.ndr1_0)))) (let ((_let_417 (ASSUME :args (_let_154)))) (let ((_let_418 (ASSUME :args (_let_156)))) (let ((_let_419 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_224)) :args ((or _let_102 _let_223 _let_222 _let_226))) _let_411 _let_410 _let_409 :args ((or _let_101 _let_226) true _let_102 false _let_175 false _let_177)))) (let ((_let_420 (_let_221))) (let ((_let_421 ((not (= (tptp.c2_1 U) false))))) (let ((_let_422 (ASSUME :args _let_420))) (let ((_let_423 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args (tptp.a493 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_421)) :args _let_420)))) (let ((_let_424 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_221 (= U W)))))) (let ((_let_425 (or _let_327 _let_326 _let_63))) (let ((_let_426 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_427 (or _let_223 _let_102 _let_347))) (let ((_let_428 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_429 (REORDERING (ASSUME :args (_let_65)) :args ((or _let_62 _let_64))))) (let ((_let_430 (REORDERING (CNF_OR_POS :args (_let_425)) :args ((or _let_63 _let_327 _let_326 (not _let_425)))))) (let ((_let_431 (_let_426))) (let ((_let_432 ((not (= (tptp.c3_1 U) false))))) (let ((_let_433 (ASSUME :args _let_431))) (let ((_let_434 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_435 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_221 (= U U)))))) (let ((_let_436 (or _let_348 _let_222 _let_102))) (let ((_let_437 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_438 (not _let_437))) (let ((_let_439 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_440 (not _let_439))) (let ((_let_441 (or _let_440 _let_438 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_442 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_443 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_444 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_445 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_446 (not _let_445))) (let ((_let_447 (or _let_440 _let_438 _let_446))) (let ((_let_448 (or _let_440 _let_438 _let_445))) (let ((_let_449 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_450 (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_102 _let_222 _let_348 (not _let_436)))))) (let ((_let_451 (or))) (let ((_let_452 (not _let_243))) (let ((_let_453 (_let_452))) (let ((_let_454 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_453)) :args _let_453)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_452) _let_243))) (REFL :args ((not _let_441))) :args _let_451)))) (let ((_let_455 (_let_295))) (let ((_let_456 ((not (= (tptp.c3_1 U) false))))) (let ((_let_457 (ASSUME :args _let_455))) (let ((_let_458 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (tptp.a493 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)))) (let ((_let_459 (REFL :args (_let_441)))) (let ((_let_460 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_441 0)) (CONG _let_459 (MACRO_SR_PRED_INTRO :args ((= (not _let_440) _let_439))) :args _let_451)) :args ((or _let_439 _let_441))))) (let ((_let_461 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_441 1)) (CONG _let_459 (MACRO_SR_PRED_INTRO :args ((= (not _let_438) _let_437))) :args _let_451)) :args ((or _let_437 _let_441))))) (let ((_let_462 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_295 (= U V)))))) (let ((_let_463 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (tptp.a487 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)))) (let ((_let_464 (not _let_305))) (let ((_let_465 (ASSUME :args (_let_174)))) (let ((_let_466 (REORDERING (ASSUME :args (_let_100)) :args ((or _let_94 _let_99))))) (let ((_let_467 (REORDERING (ASSUME :args (_let_97)) :args ((or _let_94 _let_96))))) (let ((_let_468 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_98 _let_95 _let_304 _let_464))) _let_467 _let_466 _let_465 :args ((or _let_94 _let_464) true _let_95 true _let_98 false _let_173)))) (let ((_let_469 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 tptp.hskp7 _let_352 _let_302))))) (let ((_let_470 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 _let_352 _let_443 _let_442))))) (let ((_let_471 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_299 (= U U)))))) (let ((_let_472 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_444 (= U U)))))) (let ((_let_473 (_let_299))) (let ((_let_474 ((not (= (tptp.c2_1 U) false))))) (let ((_let_475 (ASSUME :args _let_473))) (let ((_let_476 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_475 :args (tptp.a478 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_474)) :args _let_473)))) (let ((_let_477 (_let_444))) (let ((_let_478 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_477) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_477)))) (let ((_let_479 (not _let_448))) (let ((_let_480 (not _let_447))) (let ((_let_481 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_447)) :args ((or _let_440 _let_438 _let_446 _let_480))) (REORDERING (CNF_OR_POS :args (_let_448)) :args ((or _let_440 _let_438 _let_445 _let_479))) :args ((or _let_440 _let_438 _let_480 _let_479) false _let_445)))) (let ((_let_482 (_let_449))) (let ((_let_483 ((not (= (tptp.c1_1 U) false))))) (let ((_let_484 (ASSUME :args _let_482))) (let ((_let_485 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_482)))) (let ((_let_486 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_487 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_488 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_489 (not _let_488))) (let ((_let_490 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_491 (not _let_490))) (let ((_let_492 (or _let_491 _let_489 _let_487))) (let ((_let_493 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V))))) (let ((_let_494 (not _let_185))) (let ((_let_495 (not _let_187))) (let ((_let_496 (or _let_495 _let_494 _let_127))) (let ((_let_497 (or _let_270 _let_269 _let_59))) (let ((_let_498 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c3_1 U))))) (let ((_let_499 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_500 (not _let_499))) (let ((_let_501 (or _let_500 _let_491 _let_487))) (let ((_let_502 (or _let_491 _let_489 _let_499))) (let ((_let_503 (or _let_489 _let_499 _let_487))) (let ((_let_504 (or _let_270 _let_268 _let_59))) (let ((_let_505 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_449 (= U U)))))) (let ((_let_506 (not _let_449))) (let ((_let_507 (_let_506))) (let ((_let_508 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 _let_352 _let_486 _let_493))))) (let ((_let_509 (REFL :args (_let_492)))) (let ((_let_510 (_let_493))) (let ((_let_511 ((not (= (tptp.c0_1 V) false))))) (let ((_let_512 (ASSUME :args _let_510))) (let ((_let_513 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (tptp.a471 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)))) (let ((_let_514 (not _let_496))) (let ((_let_515 (or _let_326 _let_328 _let_63))) (let ((_let_516 (not _let_332))) (let ((_let_517 (_let_332))) (let ((_let_518 (not _let_515))) (let ((_let_519 (REORDERING (CNF_OR_POS :args (_let_515)) :args ((or _let_63 _let_326 _let_328 _let_518))))) (let ((_let_520 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_352 _let_426 _let_428))))) (let ((_let_521 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_393 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_392)) :args _let_391)))) (let ((_let_522 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= U V)))))) (let ((_let_523 (MACRO_RESOLUTION_TRUST _let_522 _let_521 _let_520 _let_351 _let_519 _let_434 (REORDERING (CNF_OR_POS :args _let_517) :args ((or _let_63 _let_327 _let_329 _let_516))) _let_430 _let_429 _let_417 _let_418 :args ((or tptp.hskp10 _let_62 _let_516) true _let_211 false _let_428 false tptp.ndr1_0 true _let_515 true _let_426 true _let_328 true _let_425 true _let_63 false _let_153 false _let_155)))) (let ((_let_524 (_let_498))) (let ((_let_525 ((not (= (tptp.c1_1 U) false))))) (let ((_let_526 (ASSUME :args (_let_152)))) (let ((_let_527 (REORDERING (ASSUME :args (_let_61)) :args ((or _let_58 _let_60))))) (let ((_let_528 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (tptp.a471 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)))) (let ((_let_529 (not _let_497))) (let ((_let_530 (REORDERING (CNF_OR_POS :args (_let_497)) :args ((or _let_59 _let_270 _let_269 _let_529))))) (let ((_let_531 (not _let_504))) (let ((_let_532 (REORDERING (CNF_OR_POS :args (_let_504)) :args ((or _let_59 _let_270 _let_268 _let_531))))) (let ((_let_533 (ASSUME :args (_let_162)))) (let ((_let_534 (REORDERING (ASSUME :args (_let_76)) :args ((or _let_70 _let_75))))) (let ((_let_535 (REORDERING (ASSUME :args (_let_73)) :args ((or _let_70 _let_72))))) (let ((_let_536 (not _let_337))) (let ((_let_537 (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_74 _let_71 _let_336 _let_536))))) (let ((_let_538 (REORDERING (CNF_OR_NEG :args (_let_350 2)) :args ((or _let_348 _let_350))))) (let ((_let_539 (not _let_427))) (let ((_let_540 (REORDERING (CNF_OR_POS :args (_let_427)) :args ((or _let_102 _let_223 _let_347 _let_539))))) (let ((_let_541 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_210 (= U V)))))) (let ((_let_542 (_let_290))) (let ((_let_543 ((not (= (tptp.c2_1 W) false))))) (let ((_let_544 (ASSUME :args _let_542))) (let ((_let_545 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (tptp.a493 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_543)) :args _let_542)))) (let ((_let_546 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_547 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_282 (= V U)))))) (let ((_let_548 ((not (= (tptp.c0_1 V) false))))) (let ((_let_549 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (tptp.a494 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_548)) :args _let_367)))) (let ((_let_550 (not _let_323))) (let ((_let_551 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_323)) :args ((or _let_109 _let_106 _let_322 _let_550))) (REORDERING (ASSUME :args (_let_108)) :args ((or _let_105 _let_107))) (REORDERING (ASSUME :args (_let_111)) :args ((or _let_105 _let_110))) (ASSUME :args (_let_180)) :args ((or _let_105 _let_550) true _let_106 true _let_109 false _let_179)))) (let ((_let_552 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 tptp.hskp6 _let_352 _let_220))))) (let ((_let_553 (REORDERING (ASSUME :args (_let_57)) :args ((or _let_48 _let_56))))) (let ((_let_554 (REORDERING (ASSUME :args (_let_54)) :args ((or _let_48 _let_53))))) (let ((_let_555 (REORDERING (ASSUME :args (_let_51)) :args ((or _let_48 _let_50))))) (let ((_let_556 (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_55 _let_52 _let_49 _let_219))))) (let ((_let_557 (_let_215))) (let ((_let_558 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_557) :args (tptp.a470 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_557)))) (let ((_let_559 (_let_218))) (let ((_let_560 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_559)) :args _let_559)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_218) _let_215))) (REFL :args (_let_216)) :args _let_451)))) (let ((_let_561 (CNF_OR_NEG :args (_let_214 0)))) (let ((_let_562 (CNF_OR_NEG :args (_let_214 1)))) (let ((_let_563 (CNF_OR_NEG :args (_let_214 2)))) (let ((_let_564 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_565 (not _let_564))) (let ((_let_566 (or _let_565 _let_209 _let_213))) (let ((_let_567 (or _let_212 _let_213 _let_564))) (let ((_let_568 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_364 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_362)) _let_366 (REORDERING (CNF_OR_POS :args (_let_567)) :args ((or _let_212 _let_213 _let_564 (not _let_567)))) _let_401 _let_351 (REORDERING (CNF_OR_POS :args (_let_566)) :args ((or _let_209 _let_213 _let_565 (not _let_566)))) _let_400 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_393 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_391)) _let_394 :args ((or _let_210 (not _let_211) _let_209 _let_212 _let_213) false _let_342 true _let_567 false _let_345 false tptp.ndr1_0 true _let_564 true tptp.hskp2 false _let_566 false _let_248)))) (let ((_let_569 (MACRO_RESOLUTION_TRUST _let_537 _let_535 _let_534 _let_533 :args ((or _let_70 _let_536) true _let_71 true _let_74 false _let_161)))) (let ((_let_570 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U U)))))) (let ((_let_571 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U V)))))) (let ((_let_572 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_573 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_266 (= U U)))))) (let ((_let_574 (_let_266))) (let ((_let_575 ((not (= (tptp.c0_1 U) false))))) (let ((_let_576 (ASSUME :args _let_574))) (let ((_let_577 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 _let_352 _let_318 _let_331))))) (let ((_let_578 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_333 (= U V)))))) (let ((_let_579 (_let_333))) (let ((_let_580 ((not (= (tptp.c0_1 U) false))))) (let ((_let_581 (ASSUME :args _let_579))) (let ((_let_582 (not _let_325))) (let ((_let_583 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 tptp.hskp7 _let_352 _let_221))))) (let ((_let_584 (tptp.c3_1 tptp.a507))) (let ((_let_585 (not _let_584))) (let ((_let_586 (not _let_183))) (let ((_let_587 (or _let_586 _let_585 _let_121))) (let ((_let_588 (not _let_299))) (let ((_let_589 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_421)) :args _let_420)))) (let ((_let_590 (or _let_586 _let_121 _let_584))) (let ((_let_591 (tptp.c2_1 tptp.a481))) (let ((_let_592 (not _let_591))) (let ((_let_593 (or _let_592 _let_85 _let_82))) (let ((_let_594 (not _let_163))) (let ((_let_595 (not _let_165))) (let ((_let_596 (or _let_595 _let_594 _let_78))) (let ((_let_597 (or _let_278 _let_261 _let_259))) (let ((_let_598 (not _let_281))) (let ((_let_599 (not _let_587))) (let ((_let_600 (not _let_590))) (let ((_let_601 (not _let_596))) (let ((_let_602 (not _let_597))) (let ((_let_603 (REFL :args (_let_264)))) (let ((_let_604 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_264 0)) (CONG _let_603 (MACRO_SR_PRED_INTRO :args ((= (not _let_263) _let_262))) :args _let_451)) :args ((or _let_262 _let_264))))) (let ((_let_605 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_264 1)) (CONG _let_603 (MACRO_SR_PRED_INTRO :args ((= (not _let_261) _let_260))) :args _let_451)) :args ((or _let_260 _let_264))))) (let ((_let_606 (CNF_OR_NEG :args (_let_264 2)))) (let ((_let_607 (REORDERING (CNF_OR_POS :args (_let_281)) :args ((or _let_263 _let_261 _let_277 _let_598))))) (let ((_let_608 (not _let_210))) (let ((_let_609 (_let_608))) (let ((_let_610 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_609)) :args _let_609)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_608) _let_210))) (REFL :args ((not _let_264))) :args _let_451)))) (let ((_let_611 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_612 (not _let_167))) (let ((_let_613 (or _let_612 _let_591 _let_82))) (let ((_let_614 (not _let_593))) (let ((_let_615 (ASSUME :args (_let_168)))) (let ((_let_616 (REORDERING (ASSUME :args (_let_87)) :args ((or _let_81 _let_86))))) (let ((_let_617 (REORDERING (ASSUME :args (_let_84)) :args ((or _let_81 _let_83))))) (let ((_let_618 (_let_611))) (let ((_let_619 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_618) :args (tptp.a481 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_618)))) (let ((_let_620 (REORDERING (CNF_OR_POS :args (_let_613)) :args ((or _let_82 _let_612 _let_591 (not _let_613)))))) (let ((_let_621 (MACRO_RESOLUTION_TRUST _let_390 _let_387 _let_386 :args ((or _let_66 _let_245 _let_389) true _let_67 false _let_157)))) (let ((_let_622 (not _let_301))) (let ((_let_623 (_let_311))) (let ((_let_624 (not _let_310))) (let ((_let_625 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_315)) :args ((or _let_131 _let_314 _let_313 (not _let_315)))) (REORDERING (ASSUME :args (_let_133)) :args ((or _let_130 _let_132))) (ASSUME :args (_let_190)) (ASSUME :args (_let_192)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (tptp.a545 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_455)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 tptp.hskp14 _let_352 _let_312))) _let_351 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 _let_352 _let_295 _let_303))) _let_351 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_311 (= U U)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_310)) :args ((or _let_90 _let_309 _let_308 _let_624))) (REORDERING (ASSUME :args (_let_92)) :args ((or _let_89 _let_91))) (ASSUME :args (_let_170)) (ASSUME :args (_let_172)) :args ((or _let_89 _let_624) true _let_90 false _let_169 false _let_171)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_623) :args (tptp.a477 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_623)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (tptp.a483 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_404)) (REORDERING (CNF_OR_POS :args (_let_307)) :args ((or _let_245 _let_244 _let_306 (not _let_307)))) _let_403 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_301)) :args ((or _let_245 _let_244 _let_300 _let_622))) _let_386 _let_385 :args ((or _let_66 _let_300 _let_622) false _let_157 false _let_159)) _let_386 _let_385 _let_402 _let_351 _let_383 _let_351 _let_381 _let_382 _let_463 _let_468 _let_469 _let_351 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_299 (= U V)))) _let_471 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args (tptp.a477 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_421)) :args _let_420)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_621 _let_385 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_593)) :args ((or _let_85 _let_82 _let_592 _let_614))) _let_620 _let_619 _let_617 _let_616 _let_615 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 tptp.hskp9 _let_352 _let_611))) _let_351 (REORDERING (ASSUME :args (_let_204)) :args ((or tptp.hskp12 tptp.hskp11 tptp.hskp9))) :args ((or tptp.hskp11 tptp.hskp9 _let_614) false _let_591 false _let_613 true _let_82 true _let_85 false _let_167 false _let_611 false tptp.ndr1_0 false tptp.hskp12)) _let_398 _let_610 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_597)) :args ((or _let_261 _let_259 _let_278 _let_602))) _let_607 _let_606 _let_605 _let_604 :args ((or _let_264 _let_598 _let_602) false _let_277 true _let_259 false _let_260 false _let_262)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_596)) :args ((or _let_78 _let_595 _let_594 _let_601))) (REORDERING (ASSUME :args (_let_80)) :args ((or _let_77 _let_79))) (ASSUME :args (_let_164)) (ASSUME :args (_let_166)) :args ((or _let_77 _let_601) true _let_78 false _let_163 false _let_165)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_581 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_580)) :args _let_579)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_581 :args (tptp.a479 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_580)) :args _let_579)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 tptp.hskp17 _let_352 _let_333))) _let_351 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_587)) :args ((or _let_121 _let_586 _let_585 _let_599))) (REORDERING (CNF_OR_POS :args (_let_590)) :args ((or _let_121 _let_586 _let_584 _let_600))) (REORDERING (ASSUME :args (_let_123)) :args ((or _let_120 _let_122))) (ASSUME :args (_let_184)) :args ((or _let_120 _let_599 _let_600) false _let_584 true _let_121 false _let_183)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_475 :args (tptp.a481 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_474)) :args _let_473)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_475 :args (tptp.a507 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_474)) :args _let_473)) :args ((or tptp.hskp17 _let_588 _let_599 _let_598) false _let_159 false tptp.hskp9 false _let_246 false _let_210 false _let_264 true tptp.hskp11 false _let_597 false _let_596 false _let_333 false tptp.ndr1_0 true tptp.hskp21 false _let_593 false _let_590)) _let_589 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args (tptp.a507 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_421)) :args _let_420)) _let_583 _let_351 :args ((or tptp.hskp17 tptp.hskp7 _let_588) false _let_281 false _let_587 false _let_221 false tptp.ndr1_0)) _let_583 _let_351 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_335)) :args ((or _let_98 _let_304 _let_334 (not _let_335)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_325)) :args ((or _let_95 _let_304 _let_324 _let_582))) _let_467 _let_465 :args ((or _let_94 _let_324 _let_582) true _let_95 false _let_173)) _let_466 _let_465 _let_469 _let_351 _let_471 _let_476 _let_569 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_581 :args (tptp.a487 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_580)) :args _let_579)) _let_523 _let_578 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_332 0)) (CONG (REFL :args _let_517) (MACRO_SR_PRED_INTRO :args ((= (not _let_329) _let_328))) :args _let_451)) :args ((or _let_328 _let_332))) _let_577 _let_351 (REORDERING (CNF_OR_POS :args (_let_330)) :args ((or _let_327 _let_326 _let_329 (not _let_330)))) _let_551 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_575)) :args _let_574)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (tptp.a487 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_548)) :args _let_367)) _let_549 _let_573 _let_370 _let_572 _let_351 _let_371 _let_351 _let_571 _let_570 _let_372 _let_374 _let_376 (MACRO_RESOLUTION_TRUST _let_469 _let_351 _let_471 _let_468 _let_476 _let_463 _let_569 _let_380 _let_520 _let_351 _let_384 _let_351 _let_522 _let_388 _let_568 _let_563 _let_562 _let_561 _let_560 _let_558 _let_556 _let_555 _let_554 _let_553 _let_552 _let_351 _let_551 _let_549 _let_547 _let_546 _let_351 _let_545 _let_541 _let_540 _let_415 _let_538 (MACRO_RESOLUTION_TRUST _let_537 _let_535 _let_534 _let_533 (MACRO_RESOLUTION_TRUST _let_532 _let_530 _let_528 _let_527 _let_526 _let_381 _let_469 _let_351 _let_402 _let_351 _let_471 _let_403 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_475 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_474)) :args _let_473)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_404)) (REORDERING (CNF_OR_POS :args (_let_503)) :args ((or _let_489 _let_487 _let_499 (not _let_503)))) (REORDERING (CNF_OR_POS :args (_let_502)) :args ((or _let_491 _let_489 _let_499 (not _let_502)))) (REORDERING (CNF_OR_POS :args (_let_501)) :args ((or _let_491 _let_487 _let_500 (not _let_501)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_524) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_524)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp8 _let_352 _let_498))) _let_351 _let_523 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_496)) :args ((or _let_127 _let_495 _let_494 _let_514))) (REORDERING (ASSUME :args (_let_129)) :args ((or _let_126 _let_128))) (ASSUME :args (_let_186)) (ASSUME :args (_let_188)) :args ((or _let_126 _let_514) true _let_127 false _let_185 false _let_187)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)) _let_513 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (tptp.a525 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)) (CNF_OR_NEG :args (_let_492 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_492 1)) (CONG _let_509 (MACRO_SR_PRED_INTRO :args ((= (not _let_489) _let_488))) :args _let_451)) :args ((or _let_488 _let_492))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_492 0)) (CONG _let_509 (MACRO_SR_PRED_INTRO :args ((= (not _let_491) _let_490))) :args _let_451)) :args ((or _let_490 _let_492))) _let_508 _let_351 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_507)) :args _let_507)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_506) _let_449))) (REFL :args ((not _let_492))) :args _let_451)) _let_505 :args ((or tptp.hskp29 tptp.hskp16 tptp.hskp10 _let_449) true _let_268 false _let_504 true _let_59 false _let_151 false _let_237 false tptp.hskp7 false tptp.ndr1_0 false _let_240 false tptp.ndr1_0 true _let_302 true _let_242 true _let_299 true _let_243 true _let_503 true _let_502 true _let_499 false _let_501 false _let_498 false tptp.ndr1_0 true tptp.hskp8 true tptp.hskp24 false _let_332 false _let_497 false _let_496 true _let_487 false _let_488 false _let_490 false _let_493 false tptp.ndr1_0 true _let_492 true _let_486)) _let_485 _let_481 _let_478 _let_476 _let_472 _let_471 _let_470 _let_351 _let_469 _let_351 _let_468 _let_463 _let_381 _let_462 _let_461 _let_460 _let_402 _let_351 _let_458 _let_454 _let_403 _let_450 _let_406 _let_413 _let_414 _let_409 _let_411 _let_410 :args ((or tptp.hskp29 _let_101 tptp.hskp7 _let_407) true _let_71 true _let_74 false _let_161 false tptp.hskp10 true _let_449 true _let_448 false _let_447 false _let_337 false _let_444 false _let_299 false _let_443 false tptp.ndr1_0 false _let_302 false tptp.ndr1_0 true tptp.hskp16 false _let_305 false _let_237 true _let_442 false _let_437 false _let_439 false _let_240 false tptp.ndr1_0 true _let_295 true _let_441 true _let_242 true _let_436 true _let_243 false _let_347 true _let_349 false _let_177 true _let_102 false _let_175)) _let_409 _let_411 _let_435 _let_423 _let_419 _let_434 _let_430 _let_418 _let_417 _let_429 _let_416 :args ((or tptp.hskp29 _let_101 tptp.hskp7) false tptp.ndr1_0 true _let_302 true tptp.hskp16 true _let_299 false _let_305 true _let_337 false _let_237 false tptp.hskp10 false tptp.ndr1_0 false _let_239 false tptp.ndr1_0 true _let_428 true _let_241 true _let_211 true _let_213 true _let_212 true _let_209 true _let_214 true _let_215 true _let_217 true _let_49 true _let_52 true _let_55 false tptp.hskp6 false tptp.ndr1_0 true tptp.hskp18 false _let_323 false _let_282 false _let_283 false tptp.ndr1_0 true _let_290 true _let_258 true _let_427 true _let_210 true _let_347 true _let_350 false _let_177 true _let_102 true _let_220 true _let_221 true _let_224 true _let_426 true _let_425 false _let_155 false _let_153 true _let_63 false tptp.hskp8)) _let_424 _let_423 _let_419 _let_418 _let_417 _let_416 :args ((or _let_101 tptp.hskp7) false _let_324 true _let_98 false _let_173 false tptp.hskp16 false tptp.ndr1_0 true _let_302 true _let_299 true _let_337 false _let_335 false tptp.hskp10 false _let_333 false _let_332 false _let_331 false tptp.ndr1_0 true _let_328 true tptp.hskp18 false _let_330 false _let_325 false _let_323 false _let_266 false _let_282 false _let_321 false tptp.ndr1_0 false _let_320 false tptp.ndr1_0 true _let_319 true _let_318 true _let_317 true _let_232 true _let_236 false tptp.hskp29 true _let_316 true _let_221 true _let_224 false _let_155 false _let_153 false tptp.hskp8)) :args (tptp.hskp7 true _let_131 false _let_189 false _let_191 false _let_315 false tptp.hskp25 false tptp.ndr1_0 false _let_295 false tptp.ndr1_0 true _let_312 true tptp.hskp14 true _let_311 false _let_310 true _let_307 false _let_243 false _let_300 false _let_157 false _let_159 false _let_242 false tptp.ndr1_0 false tptp.hskp9 false tptp.ndr1_0 true _let_240 true _let_238 true _let_237 true _let_305 false tptp.hskp16 false tptp.ndr1_0 true _let_303 true _let_302 false _let_301 true _let_299 false _let_221 false tptp.ndr1_0 true tptp.hskp17)))) (let ((_let_626 (ASSUME :args (_let_150)))) (let ((_let_627 (MACRO_RESOLUTION_TRUST _let_626 _let_625 :args (_let_149 false tptp.hskp7)))) (let ((_let_628 (MACRO_RESOLUTION_TRUST _let_526 _let_625 :args (_let_151 false tptp.hskp7)))) (let ((_let_629 (MACRO_RESOLUTION_TRUST _let_527 _let_625 :args (_let_60 false tptp.hskp7)))) (let ((_let_630 (REORDERING (CNF_OR_POS :args (_let_297)) :args ((or _let_59 _let_270 _let_267 _let_298))))) (let ((_let_631 (_let_227))) (let ((_let_632 ((not (= (tptp.c0_1 U) false))))) (let ((_let_633 (ASSUME :args _let_631))) (let ((_let_634 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_633 :args (tptp.a471 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_632)) :args _let_631)))) (let ((_let_635 (MACRO_RESOLUTION_TRUST _let_634 (MACRO_RESOLUTION_TRUST _let_630 _let_629 _let_628 _let_627 :args (_let_298 true _let_59 false _let_151 false _let_149)) :args ((not _let_227) true _let_297)))) (let ((_let_636 (ASSUME :args (_let_148)))) (let ((_let_637 (REORDERING (ASSUME :args (_let_47)) :args ((or _let_41 _let_46))))) (let ((_let_638 (REORDERING (ASSUME :args (_let_44)) :args ((or _let_41 _let_43))))) (let ((_let_639 (_let_230))) (let ((_let_640 (or _let_275 _let_45 _let_42))) (let ((_let_641 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_642 (or _let_270 _let_267 _let_268))) (let ((_let_643 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_644 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_645 (or _let_612 _let_85 _let_82))) (let ((_let_646 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_647 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_648 (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_649 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (tptp.a467 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_548)) :args _let_367)))) (let ((_let_650 (REORDERING (CNF_OR_POS :args (_let_280)) :args ((or _let_42 _let_228 _let_274 (not _let_280)))))) (let ((_let_651 (REORDERING (CNF_OR_POS :args (_let_276)) :args ((or _let_45 _let_228 _let_275 (not _let_276)))))) (let ((_let_652 (REORDERING (CNF_OR_POS :args (_let_640)) :args ((or _let_45 _let_42 _let_275 (not _let_640)))))) (let ((_let_653 (_let_273))) (let ((_let_654 ((not (= (tptp.c0_1 U) false))))) (let ((_let_655 (ASSUME :args _let_653))) (let ((_let_656 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (tptp.a467 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)))) (let ((_let_657 (_let_641))) (let ((_let_658 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_657) :args (tptp.a467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_657)))) (let ((_let_659 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_581 :args (tptp.a471 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_580)) :args _let_579)))) (let ((_let_660 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_273 (= U V)))))) (let ((_let_661 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_641 (= U V)))))) (let ((_let_662 (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_270 _let_267 _let_268 (not _let_642)))))) (let ((_let_663 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_227 (= U U)))))) (let ((_let_664 (MACRO_RESOLUTION_TRUST _let_663 _let_635 :args ((not _let_644) true _let_227)))) (let ((_let_665 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 _let_352 _let_644 _let_272))))) (let ((_let_666 (REORDERING (CNF_OR_POS :args (_let_645)) :args ((or _let_85 _let_82 _let_612 (not _let_645)))))) (let ((_let_667 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_493 (= V U)))))) (let ((_let_668 (_let_647))) (let ((_let_669 ((not (= (tptp.c1_1 V) false))))) (let ((_let_670 (ASSUME :args _let_668))) (let ((_let_671 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_670 :args (tptp.a481 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_669)) :args _let_668)))) (let ((_let_672 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_673 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_647 (= V W)))))) (let ((_let_674 (or _let_228 _let_45 _let_274))) (let ((_let_675 (MACRO_RESOLUTION_TRUST _let_532 _let_527 _let_526 :args ((or _let_58 _let_268 _let_531) true _let_59 false _let_151)))) (let ((_let_676 (MACRO_RESOLUTION_TRUST _let_666 _let_671 _let_617 _let_616 _let_615 _let_673 _let_665 _let_351 _let_664 _let_672 _let_351 _let_661 _let_660 _let_667 _let_658 _let_656 _let_513 _let_652 _let_651 _let_530 _let_629 _let_628 (REORDERING (CNF_OR_POS :args (_let_674)) :args ((or _let_45 _let_228 _let_274 (not _let_674)))) _let_675 _let_625 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (tptp.a467 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)) _let_528 :args ((or _let_45 _let_42 _let_228 (not _let_237)) false _let_645 true _let_82 true _let_85 false _let_167 false _let_647 false tptp.hskp12 false tptp.ndr1_0 true _let_644 false _let_648 false tptp.ndr1_0 true _let_643 true _let_272 true _let_646 true _let_641 true _let_273 true _let_493 true _let_640 true _let_276 true _let_497 true _let_59 false _let_151 false _let_274 false _let_268 false tptp.hskp7 false _let_674 false _let_504)))) (let ((_let_677 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (tptp.a471 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_575)) :args _let_574)))) (let ((_let_678 (not _let_271))) (let ((_let_679 (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_270 _let_267 _let_269 _let_678))))) (let ((_let_680 (or _let_612 _let_592 _let_85))) (let ((_let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (tptp.a481 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_404)))) (let ((_let_682 (or _let_267 _let_268 _let_59))) (let ((_let_683 (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_684 (_let_683))) (let ((_let_685 (not _let_680))) (let ((_let_686 (REORDERING (CNF_OR_POS :args (_let_680)) :args ((or _let_85 _let_612 _let_592 _let_685))))) (let ((_let_687 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_688 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_689 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_690 (or _let_689 _let_688 _let_687))) (let ((_let_691 (or _let_329 _let_326 _let_63))) (let ((_let_692 (or _let_85 _let_591 _let_82))) (let ((_let_693 (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_694 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_695 (or _let_694 _let_688 _let_687))) (let ((_let_696 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_697 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_698 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_699 (not _let_689))) (let ((_let_700 (or _let_699 _let_694 _let_688))) (let ((_let_701 (not _let_692))) (let ((_let_702 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_338 (= U W)))))) (let ((_let_703 (not _let_338))) (let ((_let_704 (_let_703))) (let ((_let_705 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_647 (= V U)))))) (let ((_let_706 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_707 (CNF_OR_NEG :args (_let_695 1)))) (let ((_let_708 (not _let_690))) (let ((_let_709 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_698 (= U V)))))) (let ((_let_710 (_let_698))) (let ((_let_711 (ASSUME :args _let_710))) (let ((_let_712 (_let_225))) (let ((_let_713 (REFL :args (_let_289)))) (let ((_let_714 (not _let_295))) (let ((_let_715 (_let_714))) (let ((_let_716 (REFL :args (_let_296)))) (let ((_let_717 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_252 _let_250 _let_249 (not _let_253)))) (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_256 _let_250 _let_254 (not _let_257)))) (CNF_OR_NEG :args (_let_296 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_296 1)) (CONG _let_716 (MACRO_SR_PRED_INTRO :args ((= (not _let_252) _let_251))) :args _let_451)) :args ((or _let_251 _let_296))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_296 0)) (CONG _let_716 (MACRO_SR_PRED_INTRO :args ((= (not _let_256) _let_255))) :args _let_451)) :args ((or _let_255 _let_296))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_715)) :args _let_715)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_714) _let_295))) (REFL :args ((not _let_296))) :args _let_451)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)) (REORDERING (CNF_OR_POS :args (_let_294)) :args ((or _let_286 _let_284 _let_293 (not _let_294)))) (REORDERING (CNF_OR_POS :args (_let_292)) :args ((or _let_288 _let_284 _let_291 (not _let_292)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_543)) :args _let_542)) (CNF_OR_NEG :args (_let_289 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_289 1)) (CONG _let_713 (MACRO_SR_PRED_INTRO :args ((= (not _let_286) _let_285))) :args _let_451)) :args ((or _let_285 _let_289))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_289 0)) (CONG _let_713 (MACRO_SR_PRED_INTRO :args ((= (not _let_288) _let_287))) :args _let_451)) :args ((or _let_287 _let_289))) _let_546 _let_351 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_712)) :args _let_712)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_221))) (REFL :args ((not _let_289))) :args _let_451)) _let_547 _let_589 _let_649 _let_607 _let_650 (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_263 _let_259 _let_278 (not _let_279)))) _let_651 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)) _let_656 _let_660 (MACRO_RESOLUTION_TRUST _let_390 _let_387 _let_386 _let_385 _let_383 _let_351 _let_414 _let_398 _let_415 _let_401 _let_351 _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_711 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_710)) (REORDERING (CNF_OR_POS :args (_let_700)) :args ((or _let_694 _let_688 _let_699 (not _let_700)))) _let_709 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_690)) :args ((or _let_688 _let_687 _let_689 _let_708))) (CNF_OR_NEG :args (_let_695 2)) _let_707 :args ((or _let_695 _let_689 _let_708) true _let_687 true _let_688)) _let_707 (CNF_OR_NEG :args (_let_695 0)) _let_706 _let_351 _let_705 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_704)) :args _let_704)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_703) _let_338))) (REFL :args ((not _let_695))) :args _let_451)) _let_702 _let_671 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (tptp.a481 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_354)) _let_666 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_692)) :args ((or _let_85 _let_82 _let_591 _let_701))) _let_686 _let_617 _let_616 _let_615 :args ((or _let_81 _let_701 _let_685) true _let_591 true _let_82 true _let_85 false _let_167)) _let_617 _let_616 _let_615 _let_665 _let_351 _let_663 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_633 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_632)) :args _let_631)) (REORDERING (CNF_OR_POS :args (_let_691)) :args ((or _let_63 _let_326 _let_329 (not _let_691)))) _let_519 _let_429 _let_417 _let_353 _let_361 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_364 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_362)) _let_365 :args ((or tptp.hskp7 _let_272 (not _let_342) _let_685 _let_518) true _let_700 false _let_698 false _let_689 true _let_688 true _let_694 false _let_697 false tptp.ndr1_0 true _let_696 true _let_695 true _let_693 true _let_647 true _let_338 true _let_645 true _let_692 true _let_82 true _let_85 false _let_167 false tptp.hskp12 false tptp.ndr1_0 true _let_644 true _let_227 true _let_691 false _let_328 true _let_63 false _let_153 false tptp.hskp8 true tptp.hskp27 false _let_690 false _let_341)) _let_626 (MACRO_RESOLUTION_TRUST _let_620 _let_686 _let_619 _let_617 _let_616 _let_615 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_611 (= U U)))) _let_665 _let_351 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) _let_351 _let_663 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_333 (= U V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_684) :args (tptp.a471 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 W) false))))) :args _let_684)) _let_634 _let_659 (REORDERING (CNF_OR_POS :args (_let_682)) :args ((or _let_59 _let_267 _let_268 (not _let_682)))) _let_630 _let_662 _let_681 _let_403 _let_402 _let_351 _let_381 _let_528 _let_532 :args ((or _let_59 _let_272 _let_270 _let_267 _let_268) true _let_591 false _let_613 true _let_82 true _let_85 false _let_167 false _let_611 false tptp.hskp12 false tptp.ndr1_0 false (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))) false tptp.ndr1_0 true _let_644 true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))) true _let_683 true _let_227 true _let_333 true _let_682 true _let_297 true _let_642 false _let_680 false _let_243 false _let_242 false tptp.ndr1_0 true _let_240 true _let_237 true _let_504)) _let_400 _let_406 _let_681 _let_521 _let_394 _let_403 _let_388 _let_402 _let_351 _let_384 _let_351 _let_381 _let_380 _let_382 _let_528 _let_532 :args ((or tptp.hskp29 _let_59 _let_272 _let_270 _let_268) true _let_67 false _let_157 false _let_159 false tptp.hskp9 false tptp.ndr1_0 true tptp.hskp17 false _let_246 false _let_350 false _let_210 false tptp.ndr1_0 true _let_345 true _let_342 true tptp.hskp7 true _let_149 true tptp.hskp2 false _let_349 false _let_680 false _let_515 false _let_248 false _let_243 false _let_211 false _let_242 false tptp.ndr1_0 false _let_241 false tptp.ndr1_0 true _let_240 true _let_239 true _let_238 true _let_237 true _let_504)) _let_628 _let_629 _let_679 _let_627 _let_628 _let_677 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_266 (= U U)))) _let_606 _let_605 _let_604 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_352 _let_265 _let_231))) _let_351 _let_610 _let_541 _let_400 _let_398 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_404)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_393 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_392)) :args _let_391)) _let_394 _let_621 _let_403 _let_388 _let_385 _let_402 _let_351 _let_384 _let_351 _let_383 _let_351 _let_381 _let_380 _let_382 _let_676 _let_376 _let_374 (MACRO_RESOLUTION_TRUST _let_673 _let_672 _let_351 _let_671 _let_667 _let_666 _let_513 _let_617 _let_616 _let_615 _let_530 _let_629 _let_628 _let_665 _let_351 _let_664 _let_662 _let_627 _let_628 _let_661 _let_660 _let_659 _let_658 _let_656 _let_578 _let_652 _let_651 _let_577 _let_351 _let_650 _let_551 _let_649 _let_549 _let_370 _let_371 _let_351 _let_570 _let_372 :args ((or _let_45 _let_42 _let_232 _let_228) false _let_648 false tptp.ndr1_0 true _let_647 true _let_646 true _let_645 true _let_493 true _let_82 true _let_85 false _let_167 true _let_497 true _let_59 false _let_151 false tptp.hskp12 false tptp.ndr1_0 true _let_644 false _let_268 false _let_149 false _let_151 true _let_643 true _let_272 false _let_642 true _let_641 true _let_273 false _let_333 true _let_640 true _let_276 false _let_331 false tptp.ndr1_0 false _let_274 true tptp.hskp18 false _let_280 false _let_323 false _let_282 false _let_320 false tptp.ndr1_0 true _let_318 true _let_317)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_230 (= U V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_639) :args (tptp.a467 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_639)) (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_45 _let_42 _let_228 (not _let_229)))) _let_638 _let_637 _let_636 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 tptp.hskp5 _let_352 _let_227))) _let_351 _let_635 :args (tptp.hskp17 true _let_249 true _let_250 false _let_251 false _let_255 true _let_296 true _let_295 true _let_294 false _let_291 false _let_292 true _let_284 false _let_285 false _let_287 false _let_290 false tptp.ndr1_0 true _let_289 true _let_283 true _let_221 true _let_282 true _let_281 true _let_280 true _let_277 true _let_274 false _let_279 false _let_276 false _let_273 false _let_272 false _let_151 true _let_59 true _let_268 false _let_149 false _let_151 false _let_271 false _let_266 true _let_259 false _let_260 false _let_262 false _let_265 false tptp.ndr1_0 true _let_264 true _let_258 true tptp.hskp2 true _let_210 false _let_257 false _let_253 false _let_248 true _let_246 false _let_243 false _let_211 false _let_159 false _let_242 false tptp.ndr1_0 false _let_241 false tptp.ndr1_0 false tptp.hskp9 false tptp.ndr1_0 true _let_240 true _let_239 true _let_238 true _let_237 true tptp.hskp29 false _let_236 false _let_232 true _let_231 true _let_230 true _let_229 true _let_42 true _let_45 false _let_147 false tptp.hskp5 false tptp.ndr1_0 true _let_227)))) (let ((_let_718 (MACRO_RESOLUTION_TRUST _let_423 (MACRO_RESOLUTION_TRUST _let_419 _let_717 :args (_let_226 false tptp.hskp17)) :args (_let_225 true _let_224)))) (let ((_let_719 (MACRO_RESOLUTION_TRUST _let_409 _let_717 :args (_let_177 false tptp.hskp17)))) (let ((_let_720 (MACRO_RESOLUTION_TRUST _let_410 _let_717 :args (_let_175 false tptp.hskp17)))) (let ((_let_721 (MACRO_RESOLUTION_TRUST _let_411 _let_717 :args (_let_103 false tptp.hskp17)))) (let ((_let_722 (tptp.c0_1 tptp.a500))) (let ((_let_723 (not _let_722))) (let ((_let_724 (or _let_723 _let_116 _let_113))) (let ((_let_725 (or _let_722 _let_116 _let_113))) (let ((_let_726 (not _let_181))) (let ((_let_727 (or _let_726 _let_722 _let_116))) (let ((_let_728 (or _let_726 _let_722 _let_113))) (let ((_let_729 (REORDERING (ASSUME :args (_let_118)) :args ((or _let_112 _let_117))))) (let ((_let_730 (REORDERING (ASSUME :args (_let_115)) :args ((or _let_112 _let_114))))) (let ((_let_731 (not _let_725))) (let ((_let_732 (not _let_724))) (let ((_let_733 (REORDERING (CNF_OR_POS :args (_let_724)) :args ((or _let_116 _let_113 _let_723 _let_732))))) (let ((_let_734 ((not (= (tptp.c1_1 U) false))))) (let ((_let_735 (MACRO_RESOLUTION_TRUST _let_706 _let_351 _let_705 _let_709 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_670 :args (tptp.a500 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_669)) :args _let_668)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_711 :args (tptp.a500 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_734)) :args _let_710)) _let_702 (REORDERING (CNF_OR_POS :args (_let_728)) :args ((or _let_113 _let_726 _let_722 (not _let_728)))) (REORDERING (CNF_OR_POS :args (_let_727)) :args ((or _let_116 _let_726 _let_722 (not _let_727)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (tptp.a500 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) _let_733 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_725)) :args ((or _let_116 _let_113 _let_722 _let_731))) _let_733 _let_730 _let_729 :args ((or _let_112 _let_732 _let_731) true _let_722 true _let_113 true _let_116)) _let_730 _let_729 (ASSUME :args (_let_182)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp18 _let_352 _let_237))) _let_351 _let_551 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (tptp.a500 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_367)) _let_549 _let_547 _let_546 _let_351 _let_545 _let_541 _let_540 _let_721 _let_719 _let_415 _let_412 _let_719 _let_721 _let_414 _let_717 _let_406 _let_403 _let_402 _let_351 _let_381 :args (_let_237 false tptp.ndr1_0 true _let_696 true _let_697 true _let_647 true _let_698 true _let_693 true _let_728 true _let_727 true _let_338 true _let_722 true _let_725 true _let_113 true _let_116 false _let_181 false tptp.hskp19 false tptp.ndr1_0 true tptp.hskp18 false _let_724 false _let_323 false _let_282 false _let_283 false tptp.ndr1_0 true _let_290 true _let_258 true _let_427 true _let_102 false _let_177 true _let_210 true _let_347 false _let_177 true _let_102 true _let_350 false tptp.hskp17 false _let_349 false _let_243 false _let_242 false tptp.ndr1_0 true _let_240)))) (let ((_let_736 (MACRO_RESOLUTION_TRUST _let_675 _let_625 (MACRO_RESOLUTION_TRUST _let_528 _let_735 :args (_let_504 false _let_237)) :args (_let_268 false tptp.hskp7 false _let_504)))) (let ((_let_737 (MACRO_RESOLUTION_TRUST _let_505 (MACRO_RESOLUTION_TRUST _let_508 (MACRO_RESOLUTION_TRUST _let_376 (MACRO_RESOLUTION_TRUST _let_374 (MACRO_RESOLUTION_TRUST _let_571 (MACRO_RESOLUTION_TRUST _let_572 _let_351 (MACRO_RESOLUTION_TRUST _let_573 (MACRO_RESOLUTION_TRUST _let_677 (MACRO_RESOLUTION_TRUST _let_679 _let_628 _let_627 _let_736 :args (_let_678 false _let_151 false _let_149 false _let_268)) :args ((not _let_266) true _let_271)) :args ((not _let_321) true _let_266)) (MACRO_RESOLUTION_TRUST _let_424 _let_718 :args ((not _let_316) true _let_221)) :args (_let_319 false tptp.ndr1_0 true _let_321 true _let_316)) :args (_let_232 false _let_319)) :args (_let_236 false _let_232)) :args (_let_195 false _let_236)) _let_351 (MACRO_RESOLUTION_TRUST _let_513 (MACRO_RESOLUTION_TRUST _let_530 _let_629 _let_628 _let_736 :args (_let_529 true _let_59 false _let_151 false _let_268)) :args ((not _let_493) true _let_497)) :args (_let_486 true tptp.hskp29 false tptp.ndr1_0 true _let_493)) :args (_let_449 false _let_486)))) (let ((_let_738 (MACRO_RESOLUTION_TRUST _let_472 _let_478 _let_470 _let_351 (MACRO_RESOLUTION_TRUST _let_468 (MACRO_RESOLUTION_TRUST _let_463 _let_735 :args (_let_305 false _let_237)) :args (_let_94 false _let_305)) _let_481 (MACRO_RESOLUTION_TRUST _let_485 _let_737 :args (_let_448 false _let_449)) _let_462 _let_461 _let_460 _let_458 _let_454 _let_450 _let_720 _let_721 _let_406 _let_413 _let_720 _let_719 _let_414 _let_717 :args (_let_407 true _let_444 false _let_443 false tptp.ndr1_0 true tptp.hskp16 true _let_447 false _let_448 true _let_442 false _let_437 false _let_439 true _let_295 true _let_441 true _let_436 false _let_175 true _let_102 true _let_243 false _let_347 false _let_175 false _let_177 true _let_349 false tptp.hskp17)))) (let ((_let_739 (MACRO_RESOLUTION_TRUST _let_415 _let_738 :args (_let_608 true _let_350)))) (let ((_let_740 (MACRO_RESOLUTION_TRUST _let_552 (MACRO_RESOLUTION_TRUST _let_551 (MACRO_RESOLUTION_TRUST _let_549 (MACRO_RESOLUTION_TRUST _let_547 (MACRO_RESOLUTION_TRUST _let_546 _let_351 (MACRO_RESOLUTION_TRUST _let_541 _let_739 :args ((not _let_258) true _let_210)) (MACRO_RESOLUTION_TRUST _let_545 (MACRO_RESOLUTION_TRUST _let_540 _let_721 _let_719 (MACRO_RESOLUTION_TRUST _let_538 _let_738 :args (_let_348 true _let_350)) :args (_let_539 true _let_102 false _let_177 true _let_347)) :args ((not _let_290) true _let_427)) :args (_let_283 false tptp.ndr1_0 true _let_258 true _let_290)) :args (_let_282 false _let_283)) :args (_let_323 false _let_282)) :args (_let_105 false _let_323)) _let_351 (MACRO_RESOLUTION_TRUST _let_435 _let_718 :args ((not _let_220) true _let_221)) :args (tptp.hskp6 true tptp.hskp18 false tptp.ndr1_0 true _let_220)))) (let ((_let_741 (MACRO_RESOLUTION_TRUST _let_560 (MACRO_RESOLUTION_TRUST _let_558 (MACRO_RESOLUTION_TRUST _let_556 (MACRO_RESOLUTION_TRUST _let_553 _let_740 :args (_let_56 false tptp.hskp6)) (MACRO_RESOLUTION_TRUST _let_554 _let_740 :args (_let_53 false tptp.hskp6)) (MACRO_RESOLUTION_TRUST _let_555 _let_740 :args (_let_50 false tptp.hskp6)) :args (_let_219 true _let_55 true _let_52 true _let_49)) :args (_let_218 true _let_217)) :args (_let_216 true _let_215)))) (let ((_let_742 (or _let_612 _let_592 _let_82))) (let ((_let_743 (or _let_612 _let_85 _let_591))) (let ((_let_744 (tptp.c1_1 tptp.a478))) (let ((_let_745 (not _let_744))) (let ((_let_746 (or _let_745 _let_336 _let_71))) (let ((_let_747 (or _let_74 _let_744 _let_71))) (let ((_let_748 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_749 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_750 (MACRO_RESOLUTION_TRUST _let_676 _let_735 _let_638 _let_637 _let_636 :args (_let_41 false _let_237 true _let_42 true _let_45 false _let_147)))) (let ((_let_751 (or _let_269 _let_267 _let_59))) (let ((_let_752 (not _let_751))) (let ((_let_753 (_let_749))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_568 (MACRO_RESOLUTION_TRUST _let_563 _let_741 :args ((not _let_213) true _let_214)) (MACRO_RESOLUTION_TRUST _let_562 _let_741 :args ((not _let_212) true _let_214)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_352 _let_748 _let_749))) _let_351 _let_750 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_753) :args (tptp.a478 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 V) true))))) :args _let_753)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_698 (= U U)))) (REORDERING (CNF_OR_POS :args (_let_747)) :args ((or _let_74 _let_71 _let_744 (not _let_747)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_711 :args (tptp.a481 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_734)) :args _let_710)) (REORDERING (CNF_OR_POS :args (_let_746)) :args ((or _let_71 _let_336 _let_745 (not _let_746)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (tptp.a478 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_482)) _let_737 :args (_let_746 false _let_449)) (REORDERING (CNF_OR_POS :args (_let_743)) :args ((or _let_85 _let_612 _let_591 (not _let_743)))) (REORDERING (CNF_OR_POS :args (_let_742)) :args ((or _let_82 _let_612 _let_592 (not _let_742)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (tptp.a481 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_482)) _let_737 :args (_let_742 false _let_449)) _let_535 _let_534 _let_533 _let_617 _let_616 _let_615 _let_520 _let_351 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a471 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_751)) :args ((or _let_59 _let_267 _let_269 _let_752))) _let_629 _let_627 _let_736 :args (_let_752 true _let_59 false _let_149 false _let_268)) :args ((not _let_426) true _let_751)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 tptp.hskp5 _let_352 _let_211))) _let_351 _let_750 _let_522 :args (_let_211 false tptp.ndr1_0 true tptp.hskp5 true _let_749 true _let_748 true _let_747 true _let_698 true _let_744 false _let_746 true _let_743 true _let_591 false _let_742 true _let_71 true _let_74 false _let_161 true _let_82 true _let_85 false _let_167 false tptp.hskp10 false tptp.ndr1_0 true _let_426 false tptp.hskp12 false tptp.ndr1_0 true tptp.hskp5 true _let_428)) _let_739 (MACRO_RESOLUTION_TRUST _let_561 _let_741 :args ((not _let_209) true _let_214)) :args (false true _let_213 true _let_212 false _let_211 true _let_210 true _let_209)) :args ((or _let_202 tptp.ndr1_0) _let_208 (or _let_195 tptp.ndr1_0) (or _let_193 tptp.ndr1_0) (or _let_135 tptp.ndr1_0) (or _let_134 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_125 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_120 tptp.ndr1_0) (or _let_119 tptp.ndr1_0) (or _let_112 tptp.ndr1_0) (or _let_105 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_94 tptp.ndr1_0) (or _let_93 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_88 tptp.ndr1_0) (or _let_81 tptp.ndr1_0) (or _let_77 tptp.ndr1_0) _let_207 (or _let_66 tptp.ndr1_0) (or _let_62 tptp.ndr1_0) (or _let_58 tptp.ndr1_0) (or _let_48 tptp.ndr1_0) (or _let_41 tptp.ndr1_0) (or _let_40 tptp.ndr1_0) (or _let_39 tptp.ndr1_0) (or _let_32 tptp.ndr1_0) (or _let_31 tptp.ndr1_0) _let_206 (or tptp.hskp29 tptp.hskp15 tptp.hskp9) (or tptp.hskp29 tptp.hskp12 tptp.hskp3) (or tptp.hskp31 tptp.hskp19 tptp.hskp10) (or tptp.hskp26 tptp.hskp16 tptp.hskp13) (or tptp.hskp26 tptp.hskp2 tptp.hskp23) _let_205 (or tptp.hskp0 tptp.hskp14 tptp.hskp25) _let_204 _let_203 (or tptp.hskp5 tptp.hskp3 tptp.hskp23) (or tptp.hskp22 tptp.hskp1 tptp.hskp13) (or _let_202 (tptp.c0_1 tptp.a529)) (or _let_202 (tptp.c1_1 tptp.a529)) (or _let_202 (tptp.c3_1 tptp.a529)) (or _let_201 (tptp.c1_1 tptp.a488)) (or _let_201 (tptp.c2_1 tptp.a488)) (or _let_201 (tptp.c3_1 tptp.a488)) _let_200 _let_198 _let_196 (or _let_193 (tptp.c0_1 tptp.a469)) (or _let_193 (tptp.c2_1 tptp.a469)) (or _let_193 (tptp.c3_1 tptp.a469)) (or _let_134 (tptp.c0_1 tptp.a559)) (or _let_134 (tptp.c1_1 tptp.a559)) _let_192 _let_190 _let_188 _let_186 (or _let_124 (tptp.c1_1 tptp.a519)) _let_184 (or _let_119 (tptp.c1_1 tptp.a506)) (or _let_119 (tptp.c2_1 tptp.a506)) _let_182 _let_180 _let_178 _let_176 _let_174 (or _let_93 (tptp.c0_1 tptp.a484)) (or _let_93 (tptp.c2_1 tptp.a484)) _let_172 _let_170 (or _let_88 (tptp.c3_1 tptp.a482)) _let_168 _let_166 _let_164 _let_162 _let_160 _let_158 _let_156 _let_154 _let_152 _let_150 _let_148 (or _let_39 (tptp.c3_1 tptp.a465)) _let_146 (or _let_31 (tptp.c2_1 tptp.a463)) (or _let_30 (tptp.c0_1 tptp.a462)) (or _let_30 (tptp.c2_1 tptp.a462)) _let_144 _let_141 _let_138 (or (not (tptp.c3_1 tptp.a559)) _let_134) _let_133 _let_129 (or (not (tptp.c0_1 tptp.a521)) _let_125) (or (not (tptp.c2_1 tptp.a521)) _let_125) (or (not (tptp.c3_1 tptp.a521)) _let_125) (or (not (tptp.c0_1 tptp.a519)) _let_124) (or (not (tptp.c2_1 tptp.a519)) _let_124) _let_123 (or (not (tptp.c1_1 tptp.a507)) _let_120) (or (not (tptp.c3_1 tptp.a506)) _let_119) _let_118 _let_115 _let_111 _let_108 _let_104 _let_100 _let_97 (or (not (tptp.c3_1 tptp.a484)) _let_93) _let_92 (or (not (tptp.c1_1 tptp.a482)) _let_88) (or (not (tptp.c2_1 tptp.a482)) _let_88) _let_87 _let_84 _let_80 _let_76 _let_73 _let_69 _let_65 _let_61 _let_57 _let_54 _let_51 _let_47 _let_44 (or (not (tptp.c0_1 tptp.a466)) _let_40) (or (not (tptp.c1_1 tptp.a466)) _let_40) (or (not (tptp.c3_1 tptp.a466)) _let_40) (or (not (tptp.c0_1 tptp.a465)) _let_39) (or (not (tptp.c1_1 tptp.a465)) _let_39) _let_38 _let_35 (or (not (tptp.c1_1 tptp.a463)) _let_31) (or (not (tptp.c3_1 tptp.a463)) _let_31) (or (not (tptp.c1_1 tptp.a462)) _let_30) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp1 tptp.hskp2)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp3 tptp.hskp4)) _let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp29 tptp.hskp0)) _let_28 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp1)) _let_27 _let_26 _let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp18 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp20 tptp.hskp21)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp21)) _let_24 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp20 tptp.hskp22)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp9 tptp.hskp23)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp30 tptp.hskp1)) _let_23 _let_22 _let_21 _let_20 _let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp30 tptp.hskp12)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp18 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp18 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp14 tptp.hskp10)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp8 tptp.hskp13)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp6 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp24 tptp.hskp10)) _let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp25 tptp.hskp3)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp8 tptp.hskp17)) _let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp16)) (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.hskp14)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (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) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_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.hskp6)) _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp9)) _let_15 _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp0)) (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) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp6)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp13)) _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp5)) _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.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp28)) (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.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp11)) _let_10 _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.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp6)) _let_8 _let_7 _let_6 (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)) (not (tptp.c2_1 V)) (tptp.c3_1 V) tptp.hskp31)) (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)) (not (tptp.c2_1 V)) (tptp.c3_1 V) tptp.hskp7)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_5 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) tptp.hskp31)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W) (tptp.c0_1 V))) _let_2 _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.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (not (tptp.c1_1 W)) (tptp.c3_1 W)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.75 )
% 0.21/0.75 % SZS output end Proof for SYN505-1
% 0.21/0.75 % cvc5---1.0.5 exiting
% 0.21/0.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------