TSTP Solution File: SYN440-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN440-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 02:03:13 EDT 2023
% Result : Unsatisfiable 0.54s 0.91s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN440-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 16:53:58 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8SRCBDc3yR/cvc5---1.0.5_2637.p...
% 0.22/0.55 ------- get file name : TPTP file name is SYN440-1
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2637.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.54/0.91 % SZS status Unsatisfiable for SYN440-1
% 0.54/0.91 % SZS output start Proof for SYN440-1
% 0.73/0.94 (
% 0.73/0.94 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (not (tptp.c0_1 W)) (not (tptp.c1_1 W)) (tptp.c3_1 V))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (not (tptp.c0_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c0_1 V)) (not (tptp.c3_1 W)) (tptp.c0_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 W) (tptp.c1_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 W) (tptp.c1_1 W) (tptp.c0_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 U)) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 U)) (tptp.c1_1 V))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c2_1 V) tptp.hskp41)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c0_1 U) (tptp.c1_1 V) tptp.hskp55)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c1_1 U) (tptp.c2_1 V) tptp.hskp5)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp20)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp46)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c2_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp11)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c1_1 V) tptp.hskp56)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 U) (tptp.c2_1 V) (tptp.c1_1 V) tptp.hskp55)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp42)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 V) (tptp.c1_1 V) (tptp.c0_1 V) tptp.hskp38)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c1_1 V)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V))))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 U) (tptp.c3_1 V))))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp5 tptp.hskp37)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 U) (tptp.c3_1 V) (tptp.c1_1 V) (tptp.c3_1 U))))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp58 tptp.hskp41)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp23 tptp.hskp24)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp14 tptp.hskp15)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp3 tptp.hskp29)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp26 tptp.hskp55)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 U) tptp.hskp37 tptp.hskp54)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp53 tptp.hskp17)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c2_1 U) tptp.hskp25 tptp.hskp52)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp8 tptp.hskp9)))) (let ((_let_30 (not tptp.hskp0))) (let ((_let_31 (not tptp.hskp1))) (let ((_let_32 (not tptp.hskp2))) (let ((_let_33 (not tptp.hskp3))) (let ((_let_34 (tptp.c3_1 tptp.a603))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (tptp.c1_1 tptp.a603))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_33))) (let ((_let_40 (not tptp.hskp4))) (let ((_let_41 (not tptp.hskp5))) (let ((_let_42 (tptp.c3_1 tptp.a606))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (tptp.c0_1 tptp.a606))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (not tptp.hskp6))) (let ((_let_49 (not tptp.hskp7))) (let ((_let_50 (not tptp.hskp8))) (let ((_let_51 (tptp.c1_1 tptp.a612))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50))) (let ((_let_54 (tptp.c2_1 tptp.a612))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_50))) (let ((_let_57 (not tptp.hskp9))) (let ((_let_58 (tptp.c3_1 tptp.a613))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57))) (let ((_let_61 (not tptp.hskp10))) (let ((_let_62 (not tptp.hskp11))) (let ((_let_63 (tptp.c2_1 tptp.a616))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (not tptp.hskp12))) (let ((_let_67 (not tptp.hskp13))) (let ((_let_68 (not tptp.hskp14))) (let ((_let_69 (tptp.c2_1 tptp.a624))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68))) (let ((_let_72 (tptp.c1_1 tptp.a624))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_68))) (let ((_let_75 (not tptp.hskp15))) (let ((_let_76 (tptp.c0_1 tptp.a625))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (tptp.c1_1 tptp.a625))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_75))) (let ((_let_82 (tptp.c2_1 tptp.a625))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_75))) (let ((_let_85 (not tptp.hskp16))) (let ((_let_86 (tptp.c3_1 tptp.a627))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85))) (let ((_let_89 (not tptp.hskp17))) (let ((_let_90 (tptp.c1_1 tptp.a628))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (tptp.c2_1 tptp.a628))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_89))) (let ((_let_96 (not tptp.hskp18))) (let ((_let_97 (not tptp.hskp19))) (let ((_let_98 (not tptp.hskp20))) (let ((_let_99 (tptp.c3_1 tptp.a635))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98))) (let ((_let_102 (tptp.c2_1 tptp.a635))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_98))) (let ((_let_105 (tptp.c1_1 tptp.a635))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_98))) (let ((_let_108 (not tptp.hskp21))) (let ((_let_109 (not tptp.hskp22))) (let ((_let_110 (not tptp.hskp23))) (let ((_let_111 (tptp.c0_1 tptp.a642))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110))) (let ((_let_114 (not tptp.hskp24))) (let ((_let_115 (tptp.c1_1 tptp.a643))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_114))) (let ((_let_118 (tptp.c0_1 tptp.a643))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_114))) (let ((_let_121 (not tptp.hskp25))) (let ((_let_122 (tptp.c0_1 tptp.a646))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_121))) (let ((_let_125 (tptp.c2_1 tptp.a646))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_121))) (let ((_let_128 (not tptp.hskp26))) (let ((_let_129 (tptp.c2_1 tptp.a652))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128))) (let ((_let_132 (tptp.c1_1 tptp.a652))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_128))) (let ((_let_135 (not tptp.hskp27))) (let ((_let_136 (not tptp.hskp28))) (let ((_let_137 (not tptp.hskp29))) (let ((_let_138 (tptp.c0_1 tptp.a660))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_137))) (let ((_let_141 (tptp.c3_1 tptp.a660))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_142 _let_137))) (let ((_let_144 (tptp.c1_1 tptp.a660))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_145 _let_137))) (let ((_let_147 (not tptp.hskp30))) (let ((_let_148 (tptp.c3_1 tptp.a666))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_147))) (let ((_let_151 (tptp.c2_1 tptp.a666))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_152 _let_147))) (let ((_let_154 (not tptp.hskp31))) (let ((_let_155 (not tptp.hskp32))) (let ((_let_156 (not tptp.hskp33))) (let ((_let_157 (tptp.c2_1 tptp.a599))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_158 _let_156))) (let ((_let_160 (not tptp.hskp34))) (let ((_let_161 (not tptp.hskp35))) (let ((_let_162 (not tptp.hskp36))) (let ((_let_163 (not tptp.hskp37))) (let ((_let_164 (tptp.c2_1 tptp.a607))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_165 _let_163))) (let ((_let_167 (not tptp.hskp39))) (let ((_let_168 (not tptp.hskp41))) (let ((_let_169 (tptp.c1_1 tptp.a617))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_170 _let_168))) (let ((_let_172 (not tptp.hskp42))) (let ((_let_173 (tptp.c3_1 tptp.a618))) (let ((_let_174 (not _let_173))) (let ((_let_175 (or _let_174 _let_172))) (let ((_let_176 (tptp.c2_1 tptp.a618))) (let ((_let_177 (not _let_176))) (let ((_let_178 (or _let_177 _let_172))) (let ((_let_179 (not tptp.hskp43))) (let ((_let_180 (not tptp.hskp44))) (let ((_let_181 (not tptp.hskp45))) (let ((_let_182 (not tptp.hskp47))) (let ((_let_183 (not tptp.hskp48))) (let ((_let_184 (not tptp.hskp49))) (let ((_let_185 (not tptp.hskp50))) (let ((_let_186 (not tptp.hskp51))) (let ((_let_187 (not tptp.hskp52))) (let ((_let_188 (tptp.c1_1 tptp.a647))) (let ((_let_189 (not _let_188))) (let ((_let_190 (or _let_189 _let_187))) (let ((_let_191 (tptp.c2_1 tptp.a647))) (let ((_let_192 (not _let_191))) (let ((_let_193 (or _let_192 _let_187))) (let ((_let_194 (not tptp.hskp53))) (let ((_let_195 (tptp.c2_1 tptp.a648))) (let ((_let_196 (not _let_195))) (let ((_let_197 (or _let_196 _let_194))) (let ((_let_198 (not tptp.hskp54))) (let ((_let_199 (tptp.c0_1 tptp.a651))) (let ((_let_200 (not _let_199))) (let ((_let_201 (or _let_200 _let_198))) (let ((_let_202 (not tptp.hskp55))) (let ((_let_203 (tptp.c2_1 tptp.a653))) (let ((_let_204 (not _let_203))) (let ((_let_205 (or _let_204 _let_202))) (let ((_let_206 (not tptp.hskp56))) (let ((_let_207 (not tptp.hskp57))) (let ((_let_208 (not tptp.hskp58))) (let ((_let_209 (tptp.c1_1 tptp.a663))) (let ((_let_210 (not _let_209))) (let ((_let_211 (or _let_210 _let_208))) (let ((_let_212 (tptp.c0_1 tptp.a663))) (let ((_let_213 (not _let_212))) (let ((_let_214 (or _let_213 _let_208))) (let ((_let_215 (not tptp.hskp59))) (let ((_let_216 (tptp.c0_1 tptp.a665))) (let ((_let_217 (not _let_216))) (let ((_let_218 (or _let_217 _let_215))) (let ((_let_219 (not tptp.hskp60))) (let ((_let_220 (tptp.c2_1 tptp.a669))) (let ((_let_221 (not _let_220))) (let ((_let_222 (or _let_221 _let_219))) (let ((_let_223 (not tptp.hskp61))) (let ((_let_224 (tptp.c0_1 tptp.a670))) (let ((_let_225 (not _let_224))) (let ((_let_226 (or _let_225 _let_223))) (let ((_let_227 (tptp.c1_1 tptp.a670))) (let ((_let_228 (not _let_227))) (let ((_let_229 (or _let_228 _let_223))) (let ((_let_230 (not tptp.hskp62))) (let ((_let_231 (not tptp.hskp63))) (let ((_let_232 (not tptp.hskp64))) (let ((_let_233 (tptp.c0_1 tptp.a673))) (let ((_let_234 (not _let_233))) (let ((_let_235 (or _let_234 _let_232))) (let ((_let_236 (not tptp.hskp65))) (let ((_let_237 (tptp.c1_1 tptp.a674))) (let ((_let_238 (not _let_237))) (let ((_let_239 (or _let_238 _let_236))) (let ((_let_240 (not tptp.hskp66))) (let ((_let_241 (tptp.c2_1 tptp.a675))) (let ((_let_242 (not _let_241))) (let ((_let_243 (or _let_242 _let_240))) (let ((_let_244 (tptp.c0_1 tptp.a603))) (let ((_let_245 (or _let_33 _let_244))) (let ((_let_246 (tptp.c2_1 tptp.a606))) (let ((_let_247 (or _let_41 _let_246))) (let ((_let_248 (tptp.c3_1 tptp.a612))) (let ((_let_249 (or _let_50 _let_248))) (let ((_let_250 (tptp.c2_1 tptp.a613))) (let ((_let_251 (or _let_57 _let_250))) (let ((_let_252 (tptp.c1_1 tptp.a613))) (let ((_let_253 (or _let_57 _let_252))) (let ((_let_254 (tptp.c1_1 tptp.a616))) (let ((_let_255 (or _let_62 _let_254))) (let ((_let_256 (tptp.c0_1 tptp.a616))) (let ((_let_257 (or _let_62 _let_256))) (let ((_let_258 (tptp.c3_1 tptp.a624))) (let ((_let_259 (or _let_68 _let_258))) (let ((_let_260 (tptp.c0_1 tptp.a627))) (let ((_let_261 (or _let_85 _let_260))) (let ((_let_262 (tptp.c2_1 tptp.a627))) (let ((_let_263 (or _let_85 _let_262))) (let ((_let_264 (tptp.c3_1 tptp.a628))) (let ((_let_265 (or _let_89 _let_264))) (let ((_let_266 (tptp.c3_1 tptp.a642))) (let ((_let_267 (or _let_110 _let_266))) (let ((_let_268 (tptp.c2_1 tptp.a642))) (let ((_let_269 (or _let_110 _let_268))) (let ((_let_270 (tptp.c3_1 tptp.a643))) (let ((_let_271 (or _let_114 _let_270))) (let ((_let_272 (tptp.c3_1 tptp.a646))) (let ((_let_273 (or _let_121 _let_272))) (let ((_let_274 (tptp.c3_1 tptp.a652))) (let ((_let_275 (or _let_128 _let_274))) (let ((_let_276 (tptp.c0_1 tptp.a666))) (let ((_let_277 (or _let_147 _let_276))) (let ((_let_278 (tptp.c3_1 tptp.a599))) (let ((_let_279 (or _let_156 _let_278))) (let ((_let_280 (tptp.c0_1 tptp.a599))) (let ((_let_281 (or _let_156 _let_280))) (let ((_let_282 (tptp.c0_1 tptp.a607))) (let ((_let_283 (or _let_163 _let_282))) (let ((_let_284 (tptp.c1_1 tptp.a607))) (let ((_let_285 (or _let_163 _let_284))) (let ((_let_286 (tptp.c0_1 tptp.a608))) (let ((_let_287 (not tptp.hskp38))) (let ((_let_288 (or _let_287 _let_286))) (let ((_let_289 (tptp.c3_1 tptp.a608))) (let ((_let_290 (or _let_287 _let_289))) (let ((_let_291 (tptp.c1_1 tptp.a608))) (let ((_let_292 (or _let_287 _let_291))) (let ((_let_293 (not tptp.hskp40))) (let ((_let_294 (tptp.c3_1 tptp.a617))) (let ((_let_295 (or _let_168 _let_294))) (let ((_let_296 (tptp.c2_1 tptp.a617))) (let ((_let_297 (or _let_168 _let_296))) (let ((_let_298 (tptp.c1_1 tptp.a618))) (let ((_let_299 (or _let_172 _let_298))) (let ((_let_300 (tptp.c3_1 tptp.a626))) (let ((_let_301 (not tptp.hskp46))) (let ((_let_302 (or _let_301 _let_300))) (let ((_let_303 (tptp.c0_1 tptp.a626))) (let ((_let_304 (or _let_301 _let_303))) (let ((_let_305 (tptp.c1_1 tptp.a626))) (let ((_let_306 (or _let_301 _let_305))) (let ((_let_307 (tptp.c0_1 tptp.a647))) (let ((_let_308 (or _let_187 _let_307))) (let ((_let_309 (tptp.c0_1 tptp.a648))) (let ((_let_310 (or _let_194 _let_309))) (let ((_let_311 (tptp.c3_1 tptp.a648))) (let ((_let_312 (or _let_194 _let_311))) (let ((_let_313 (tptp.c2_1 tptp.a651))) (let ((_let_314 (or _let_198 _let_313))) (let ((_let_315 (tptp.c3_1 tptp.a651))) (let ((_let_316 (or _let_198 _let_315))) (let ((_let_317 (tptp.c1_1 tptp.a653))) (let ((_let_318 (or _let_202 _let_317))) (let ((_let_319 (tptp.c3_1 tptp.a653))) (let ((_let_320 (or _let_202 _let_319))) (let ((_let_321 (tptp.c3_1 tptp.a658))) (let ((_let_322 (or _let_206 _let_321))) (let ((_let_323 (tptp.c2_1 tptp.a658))) (let ((_let_324 (or _let_206 _let_323))) (let ((_let_325 (tptp.c3_1 tptp.a663))) (let ((_let_326 (or _let_208 _let_325))) (let ((_let_327 (tptp.c3_1 tptp.a665))) (let ((_let_328 (or _let_215 _let_327))) (let ((_let_329 (tptp.c2_1 tptp.a665))) (let ((_let_330 (or _let_215 _let_329))) (let ((_let_331 (tptp.c1_1 tptp.a669))) (let ((_let_332 (or _let_219 _let_331))) (let ((_let_333 (tptp.c0_1 tptp.a669))) (let ((_let_334 (or _let_219 _let_333))) (let ((_let_335 (tptp.c2_1 tptp.a670))) (let ((_let_336 (or _let_223 _let_335))) (let ((_let_337 (tptp.c1_1 tptp.a673))) (let ((_let_338 (or _let_232 _let_337))) (let ((_let_339 (tptp.c3_1 tptp.a673))) (let ((_let_340 (or _let_232 _let_339))) (let ((_let_341 (tptp.c0_1 tptp.a674))) (let ((_let_342 (or _let_236 _let_341))) (let ((_let_343 (tptp.c2_1 tptp.a674))) (let ((_let_344 (or _let_236 _let_343))) (let ((_let_345 (tptp.c3_1 tptp.a675))) (let ((_let_346 (or _let_240 _let_345))) (let ((_let_347 (tptp.c1_1 tptp.a675))) (let ((_let_348 (or _let_240 _let_347))) (let ((_let_349 (or tptp.hskp64 tptp.hskp65 tptp.hskp66))) (let ((_let_350 (or tptp.hskp33 tptp.hskp60 tptp.hskp61))) (let ((_let_351 (or tptp.hskp16 tptp.hskp17 tptp.hskp9))) (let ((_let_352 (or _let_232 tptp.ndr1_0))) (let ((_let_353 (or _let_236 tptp.ndr1_0))) (let ((_let_354 (or _let_240 tptp.ndr1_0))) (let ((_let_355 (or tptp.hskp59 tptp.hskp30))) (let ((_let_356 (not _let_246))) (let ((_let_357 (or _let_356 _let_42 _let_45))) (let ((_let_358 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c3_1 U) (tptp.c0_1 U))))) (let ((_let_359 (not _let_357))) (let ((_let_360 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c2_1 V) (tptp.c1_1 V))))) (let ((_let_361 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_362 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_363 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_364 (not _let_363))) (let ((_let_365 (or _let_364 _let_362 _let_361))) (let ((_let_366 (not _let_274))) (let ((_let_367 (or _let_366 _let_129 _let_132))) (let ((_let_368 (not _let_361))) (let ((_let_369 (or _let_364 _let_368 _let_362))) (let ((_let_370 (or _let_364 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19) _let_362))) (let ((_let_371 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_372 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_373 (not _let_272))) (let ((_let_374 (or _let_373 _let_122 _let_125))) (let ((_let_375 (not _let_307))) (let ((_let_376 (or _let_375 _let_188 _let_191))) (let ((_let_377 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c3_1 U) (tptp.c2_1 U))))) (let ((_let_378 (not _let_276))) (let ((_let_379 (or _let_378 _let_148 _let_151))) (let ((_let_380 (tptp.c3_1 tptp.a669))) (let ((_let_381 (not _let_333))) (let ((_let_382 (or _let_381 _let_380 _let_220))) (let ((_let_383 (not _let_329))) (let ((_let_384 (not _let_327))) (let ((_let_385 (or _let_384 _let_383 _let_216))) (let ((_let_386 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V))))) (let ((_let_387 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_388 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_389 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_390 (not _let_389))) (let ((_let_391 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_392 (not _let_391))) (let ((_let_393 (or _let_392 _let_390 _let_388))) (let ((_let_394 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c1_1 U))))) (let ((_let_395 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c1_1 U))))) (let ((_let_396 (tptp.c3_1 tptp.a670))) (let ((_let_397 (not _let_335))) (let ((_let_398 (or _let_397 _let_396 _let_224))) (let ((_let_399 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_400 (or _let_392 _let_388 _let_399))) (let ((_let_401 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_402 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_403 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_404 (not _let_403))) (let ((_let_405 (or _let_404 _let_402 _let_401))) (let ((_let_406 (not _let_325))) (let ((_let_407 (or _let_406 _let_212 _let_209))) (let ((_let_408 (not _let_399))) (let ((_let_409 (or _let_392 _let_408 _let_390))) (let ((_let_410 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_411 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))))) (let ((_let_412 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (tptp.c1_1 U))))) (let ((_let_413 (not _let_402))) (let ((_let_414 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_415 (not _let_414))) (let ((_let_416 (or _let_415 _let_413 _let_401))) (let ((_let_417 (or _let_415 _let_404 _let_401))) (let ((_let_418 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_419 (not _let_396))) (let ((_let_420 (or _let_397 _let_419 _let_227))) (let ((_let_421 (not _let_294))) (let ((_let_422 (not _let_296))) (let ((_let_423 (or _let_422 _let_421 _let_169))) (let ((_let_424 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c0_1 U)) (tptp.c2_1 U))))) (let ((_let_425 (not _let_380))) (let ((_let_426 (or _let_425 _let_381 _let_220))) (let ((_let_427 (not _let_280))) (let ((_let_428 (not _let_278))) (let ((_let_429 (or _let_428 _let_427 _let_157))) (let ((_let_430 (not _let_360))) (let ((_let_431 (_let_360))) (let ((_let_432 ((not (= (tptp.c3_1 V) false))))) (let ((_let_433 (ASSUME :args _let_431))) (let ((_let_434 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a652 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_435 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_436 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_437 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_438 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_439 (not _let_438))) (let ((_let_440 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_441 (not _let_440))) (let ((_let_442 (or _let_441 _let_439 _let_437))) (let ((_let_443 (not _let_258))) (let ((_let_444 (or _let_443 _let_69 _let_72))) (let ((_let_445 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_446 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_447 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_448 (not _let_447))) (let ((_let_449 (or _let_448 _let_446 _let_445))) (let ((_let_450 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c0_1 U)) (tptp.c2_1 U))))) (let ((_let_451 (not _let_282))) (let ((_let_452 (not _let_284))) (let ((_let_453 (or _let_452 _let_451 _let_164))) (let ((_let_454 (not _let_331))) (let ((_let_455 (or _let_454 _let_381 _let_220))) (let ((_let_456 (tptp.c2_1 tptp.a608))) (let ((_let_457 (not _let_286))) (let ((_let_458 (not _let_291))) (let ((_let_459 (or _let_458 _let_457 _let_456))) (let ((_let_460 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_461 (not _let_460))) (let ((_let_462 (or _let_439 _let_461 _let_437))) (let ((_let_463 (or _let_441 _let_439 _let_460))) (let ((_let_464 (or _let_441 _let_460 _let_437))) (let ((_let_465 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (tptp.c0_1 U))))) (let ((_let_466 (tptp.c2_1 tptp.a660))) (let ((_let_467 (not _let_466))) (let ((_let_468 (or _let_467 _let_141 _let_138))) (let ((_let_469 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_470 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_471 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_472 (not _let_471))) (let ((_let_473 (or _let_472 _let_470 _let_469))) (let ((_let_474 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_475 (not _let_289))) (let ((_let_476 (not _let_456))) (let ((_let_477 (or _let_457 _let_476 _let_475))) (let ((_let_478 (forall ((V $$unsorted)) (or (tptp.c2_1 V) (tptp.c1_1 V) (tptp.c0_1 V))))) (let ((_let_479 (or _let_466 _let_144 _let_138))) (let ((_let_480 (or _let_82 _let_79 _let_76))) (let ((_let_481 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_482 (not _let_469))) (let ((_let_483 (or _let_472 _let_482 _let_481))) (let ((_let_484 (or _let_472 _let_481 _let_470))) (let ((_let_485 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_486 (tptp.c2_1 tptp.a603))) (let ((_let_487 (not _let_486))) (let ((_let_488 (or _let_487 _let_37 _let_34))) (let ((_let_489 (not _let_244))) (let ((_let_490 (or _let_489 _let_37 _let_486))) (let ((_let_491 (not _let_268))) (let ((_let_492 (not _let_266))) (let ((_let_493 (or _let_492 _let_491 _let_111))) (let ((_let_494 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_495 (not _let_446))) (let ((_let_496 (or _let_448 _let_495 _let_494))) (let ((_let_497 (or _let_448 _let_494 _let_445))) (let ((_let_498 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_435 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))) _let_436) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_499 (or))) (let ((_let_500 (not _let_435))) (let ((_let_501 (_let_500))) (let ((_let_502 (REFL :args (_let_442)))) (let ((_let_503 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_442 0)) (CONG _let_502 (MACRO_SR_PRED_INTRO :args ((= (not _let_441) _let_440))) :args _let_499)) :args ((or _let_440 _let_442))))) (let ((_let_504 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_442 1)) (CONG _let_502 (MACRO_SR_PRED_INTRO :args ((= (not _let_439) _let_438))) :args _let_499)) :args ((or _let_438 _let_442))))) (let ((_let_505 (CNF_OR_NEG :args (_let_442 2)))) (let ((_let_506 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c2_1 U) (tptp.c1_1 U))))) (let ((_let_507 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V))))) (let ((_let_508 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c0_1 V)) (tptp.c2_1 V))))) (let ((_let_509 (tptp.c0_1 tptp.a617))) (let ((_let_510 (not _let_509))) (let ((_let_511 (or _let_422 _let_510 _let_169))) (let ((_let_512 (or _let_421 _let_422 _let_509))) (let ((_let_513 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_360 (= V U)))))) (let ((_let_514 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_515 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_516 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_517 (not _let_516))) (let ((_let_518 (or _let_517 _let_515 _let_514))) (let ((_let_519 (tptp.c2_1 tptp.a626))) (let ((_let_520 (not _let_303))) (let ((_let_521 (not _let_305))) (let ((_let_522 (or _let_521 _let_520 _let_519))) (let ((_let_523 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_524 (not _let_523))) (let ((_let_525 (or _let_524 _let_514 _let_515))) (let ((_let_526 (not _let_300))) (let ((_let_527 (not _let_519))) (let ((_let_528 (or _let_520 _let_527 _let_526))) (let ((_let_529 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_530 (not _let_529))) (let ((_let_531 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_532 (not _let_531))) (let ((_let_533 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_534 (not _let_533))) (let ((_let_535 (or _let_534 _let_532 _let_530))) (let ((_let_536 (or _let_510 _let_422 _let_421))) (let ((_let_537 (or _let_524 _let_517 _let_514))) (let ((_let_538 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c1_1 U))))) (let ((_let_539 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_540 (or _let_534 _let_530 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_541 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_542 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c3_1 U) (tptp.c2_1 U))))) (let ((_let_543 (not _let_298))) (let ((_let_544 (or _let_543 _let_173 _let_176))) (let ((_let_545 (or _let_530 _let_534 _let_531))) (let ((_let_546 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_547 (or _let_421 _let_509 _let_169))) (let ((_let_548 (_let_430))) (let ((_let_549 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_548)) :args _let_548)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_430) _let_360))) (REFL :args ((not _let_518))) :args _let_499)))) (let ((_let_550 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_518 0)) (CONG (REFL :args (_let_518)) (MACRO_SR_PRED_INTRO :args ((= (not _let_517) _let_516))) :args _let_499)) :args ((or _let_516 _let_518))))) (let ((_let_551 (CNF_OR_NEG :args (_let_518 2)))) (let ((_let_552 (_let_450))) (let ((_let_553 ((not (= (tptp.c1_1 U) false))))) (let ((_let_554 (ASSUME :args _let_552))) (let ((_let_555 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a607 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)))) (let ((_let_556 (not _let_453))) (let ((_let_557 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_453)) :args ((or _let_164 _let_452 _let_451 _let_556))) (REORDERING (ASSUME :args (_let_166)) :args ((or _let_163 _let_165))) (ASSUME :args (_let_283)) (ASSUME :args (_let_285)) :args ((or _let_163 _let_556) true _let_164 false _let_282 false _let_284)))) (let ((_let_558 (not _let_313))) (let ((_let_559 (not _let_315))) (let ((_let_560 (or _let_559 _let_558 _let_199))) (let ((_let_561 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_562 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_563 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_564 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_565 (not _let_564))) (let ((_let_566 (or _let_565 _let_563 _let_562))) (let ((_let_567 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V))))) (let ((_let_568 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c1_1 U)) (tptp.c0_1 U))))) (let ((_let_569 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_570 (not _let_569))) (let ((_let_571 (or _let_565 _let_570 _let_562))) (let ((_let_572 (or _let_390 _let_408 _let_388))) (let ((_let_573 (forall ((W $$unsorted)) (or (tptp.c3_1 W) (tptp.c1_1 W) (tptp.c0_1 W))))) (let ((_let_574 (or _let_562 _let_563 _let_569))) (let ((_let_575 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c1_1 V))))) (let ((_let_576 (not _let_358))) (let ((_let_577 (_let_576))) (let ((_let_578 (REORDERING (ASSUME :args (_let_349)) :args ((or tptp.hskp66 tptp.hskp65 tptp.hskp64))))) (let ((_let_579 (MACRO_RESOLUTION_TRUST _let_578 (REORDERING (ASSUME :args (_let_352)) :args ((or tptp.ndr1_0 _let_232))) (REORDERING (ASSUME :args (_let_353)) :args ((or tptp.ndr1_0 _let_236))) (REORDERING (ASSUME :args (_let_354)) :args ((or tptp.ndr1_0 _let_240))) :args (tptp.ndr1_0 true tptp.hskp64 true tptp.hskp65 true tptp.hskp66)))) (let ((_let_580 (_let_568))) (let ((_let_581 ((not (= (tptp.c2_1 U) false))))) (let ((_let_582 (ASSUME :args _let_580))) (let ((_let_583 (or _let_390 _let_392 _let_399))) (let ((_let_584 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c2_1 U)) (tptp.c1_1 U))))) (let ((_let_585 (not _let_572))) (let ((_let_586 (REFL :args (_let_393)))) (let ((_let_587 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_393 0)) (CONG _let_586 (MACRO_SR_PRED_INTRO :args ((= (not _let_392) _let_391))) :args _let_499)) :args ((or _let_391 _let_393))))) (let ((_let_588 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_393 1)) (CONG _let_586 (MACRO_SR_PRED_INTRO :args ((= (not _let_390) _let_389))) :args _let_499)) :args ((or _let_389 _let_393))))) (let ((_let_589 (CNF_OR_NEG :args (_let_393 2)))) (let ((_let_590 (REORDERING (CNF_OR_POS :args (_let_400)) :args ((or _let_392 _let_388 _let_399 (not _let_400)))))) (let ((_let_591 (_let_418))) (let ((_let_592 ((not (= (tptp.c2_1 U) false))))) (let ((_let_593 (ASSUME :args _let_591))) (let ((_let_594 (_let_395))) (let ((_let_595 ((not (= (tptp.c3_1 U) false))))) (let ((_let_596 (ASSUME :args _let_594))) (let ((_let_597 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_595)) :args _let_594)))) (let ((_let_598 (_let_575))) (let ((_let_599 ((not (= (tptp.c0_1 V) true))))) (let ((_let_600 (ASSUME :args _let_598))) (let ((_let_601 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_600 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_598)) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_575 (= V W))) (MACRO_SR_PRED_INTRO :args ((= (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c3_1 W) (tptp.c1_1 W))) _let_573) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (REORDERING (CNF_OR_POS :args (_let_574)) :args ((or _let_563 _let_562 _let_569 (not _let_574)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) _let_579 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_395 (= U V)))) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_418 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))) _let_584) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_597 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)) _let_590 (REORDERING (CNF_OR_POS :args (_let_583)) :args ((or _let_392 _let_390 _let_399 (not _let_583)))) (REORDERING (CNF_OR_POS :args (_let_572)) :args ((or _let_390 _let_388 _let_408 _let_585))) _let_589 _let_588 _let_587 :args ((or _let_573 _let_393 _let_585) false tptp.ndr1_0 true (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))) true _let_584 true _let_395 true _let_418 true _let_400 true _let_583 true _let_399 true _let_388 false _let_389 false _let_391)) (REORDERING (CNF_OR_POS :args (_let_571)) :args ((or _let_565 _let_562 _let_570 (not _let_571)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_568 (= U V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c1_1 V)) (tptp.c0_1 V))) _let_567) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (CNF_OR_NEG :args (_let_566 2)) (CNF_OR_NEG :args (_let_566 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_566 0)) (CONG (REFL :args (_let_566)) (MACRO_SR_PRED_INTRO :args ((= (not _let_565) _let_564))) :args _let_499)) :args ((or _let_564 _let_566))) (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) _let_579 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_577)) :args _let_577)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_576) _let_358))) (REFL :args ((not _let_566))) :args _let_499)) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_358 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c3_1 U) (tptp.c0_1 U))) _let_561) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) :args ((or _let_358 _let_393) false _let_575 true _let_574 false _let_573 true _let_569 false _let_572 false _let_571 false _let_568 true _let_562 true _let_563 false _let_564 false _let_567 false tptp.ndr1_0 true _let_566 true _let_561)))) (let ((_let_602 (not tptp.ndr1_0))) (let ((_let_603 (not _let_386))) (let ((_let_604 (_let_603))) (let ((_let_605 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_604)) :args _let_604)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_603) _let_386))) (REFL :args ((not _let_393))) :args _let_499)))) (let ((_let_606 (not _let_560))) (let ((_let_607 (_let_386))) (let ((_let_608 ((not (= (tptp.c3_1 V) false))))) (let ((_let_609 (ASSUME :args _let_607))) (let ((_let_610 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (tptp.a651 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_560)) :args ((or _let_199 _let_559 _let_558 _let_606))) (REORDERING (ASSUME :args (_let_201)) :args ((or _let_198 _let_200))) (ASSUME :args (_let_314)) (ASSUME :args (_let_316)) :args ((or _let_198 _let_606) true _let_199 false _let_313 false _let_315)) _let_605 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp54 tptp.hskp37 _let_602 _let_358))) _let_579 _let_601 :args ((or tptp.hskp37 _let_358) true _let_560 false _let_386 false tptp.hskp54 false tptp.ndr1_0 false _let_393)))) (let ((_let_611 (_let_358))) (let ((_let_612 ((not (= (tptp.c2_1 U) false))))) (let ((_let_613 (ASSUME :args _let_611))) (let ((_let_614 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_613 :args (tptp.a606 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_612)) :args _let_611)))) (let ((_let_615 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_357)) :args ((or _let_45 _let_42 _let_356 _let_359))) (REORDERING (ASSUME :args (_let_44)) :args ((or _let_41 _let_43))) (REORDERING (ASSUME :args (_let_47)) :args ((or _let_41 _let_46))) (ASSUME :args (_let_247)) :args ((or _let_41 _let_359) true _let_42 true _let_45 false _let_246)))) (let ((_let_616 (or _let_515 _let_514 _let_523))) (let ((_let_617 (not _let_525))) (let ((_let_618 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_602 _let_506 _let_507))))) (let ((_let_619 (CNF_OR_NEG :args (_let_518 1)))) (let ((_let_620 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_450 (= U V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c0_1 V)) (tptp.c2_1 V))) _let_507) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_621 (_let_525))) (let ((_let_622 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a608 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)))) (let ((_let_623 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)))) (let ((_let_624 (REORDERING (CNF_OR_POS :args (_let_616)) :args ((or _let_515 _let_514 _let_523 (not _let_616)))))) (let ((_let_625 (not _let_462))) (let ((_let_626 (not _let_463))) (let ((_let_627 (REORDERING (CNF_OR_POS :args (_let_462)) :args ((or _let_439 _let_437 _let_461 _let_625))))) (let ((_let_628 (MACRO_RESOLUTION_TRUST _let_627 (REORDERING (CNF_OR_POS :args (_let_463)) :args ((or _let_441 _let_439 _let_460 _let_626))) _let_505 _let_504 _let_503 :args ((or _let_442 _let_626 _let_625) false _let_460 true _let_437 false _let_438 false _let_440)))) (let ((_let_629 (_let_478))) (let ((_let_630 ((not (= (tptp.c2_1 V) true))))) (let ((_let_631 (ASSUME :args _let_629))) (let ((_let_632 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_631 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_630)) :args _let_629)))) (let ((_let_633 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp37 tptp.hskp5 _let_602 _let_474))))) (let ((_let_634 (_let_465))) (let ((_let_635 ((not (= (tptp.c3_1 U) false))))) (let ((_let_636 (ASSUME :args _let_634))) (let ((_let_637 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_636 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_635)) :args _let_634)))) (let ((_let_638 (_let_474))) (let ((_let_639 ((not (= (tptp.c0_1 U) false))))) (let ((_let_640 (ASSUME :args _let_638))) (let ((_let_641 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (tptp.a608 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_639)) :args _let_638)))) (let ((_let_642 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp38 _let_602 _let_465 _let_478))))) (let ((_let_643 (not _let_459))) (let ((_let_644 (not _let_477))) (let ((_let_645 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_477)) :args ((or _let_475 _let_457 _let_476 _let_644))) (REORDERING (CNF_OR_POS :args (_let_459)) :args ((or _let_458 _let_457 _let_456 _let_643))) (ASSUME :args (_let_288)) (ASSUME :args (_let_290)) (ASSUME :args (_let_292)) :args ((or _let_287 _let_644 _let_643) false _let_456 false _let_286 false _let_289 false _let_291)))) (let ((_let_646 (_let_372))) (let ((_let_647 (ASSUME :args _let_646))) (let ((_let_648 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_639)) :args _let_638)))) (let ((_let_649 ((not (= (tptp.c2_1 U) false))))) (let ((_let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (tptp.a617 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_649)) :args _let_638)))) (let ((_let_651 (REORDERING (CNF_OR_POS :args (_let_537)) :args ((or _let_517 _let_514 _let_524 (not _let_537)))))) (let ((_let_652 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_372 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))) _let_538) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_653 (not _let_522))) (let ((_let_654 (not _let_528))) (let ((_let_655 (_let_539))) (let ((_let_656 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_655) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_655)))) (let ((_let_657 (not _let_539))) (let ((_let_658 (_let_657))) (let ((_let_659 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_658)) :args _let_658)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_657) _let_539))) (REFL :args ((not _let_540))) :args _let_499)))) (let ((_let_660 (REFL :args (_let_540)))) (let ((_let_661 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_540 0)) (CONG _let_660 (MACRO_SR_PRED_INTRO :args ((= (not _let_534) _let_533))) :args _let_499)) :args ((or _let_533 _let_540))))) (let ((_let_662 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_540 1)) (CONG _let_660 (MACRO_SR_PRED_INTRO :args ((= (not _let_530) _let_529))) :args _let_499)) :args ((or _let_529 _let_540))))) (let ((_let_663 (REORDERING (CNF_OR_POS :args (_let_535)) :args ((or _let_534 _let_530 _let_532 (not _let_535)))))) (let ((_let_664 (_let_542))) (let ((_let_665 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_664) :args (tptp.a618 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_664)))) (let ((_let_666 (REORDERING (CNF_OR_POS :args (_let_545)) :args ((or _let_534 _let_530 _let_531 (not _let_545)))))) (let ((_let_667 (not _let_544))) (let ((_let_668 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_544)) :args ((or _let_176 _let_173 _let_543 _let_667))) (REORDERING (ASSUME :args (_let_175)) :args ((or _let_172 _let_174))) (REORDERING (ASSUME :args (_let_178)) :args ((or _let_172 _let_177))) (ASSUME :args (_let_299)) :args ((or _let_172 _let_667) true _let_173 true _let_176 false _let_298)))) (let ((_let_669 (_let_424))) (let ((_let_670 ((not (= (tptp.c3_1 U) false))))) (let ((_let_671 (ASSUME :args _let_669))) (let ((_let_672 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)))) (let ((_let_673 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp42 _let_602 _let_538 _let_546))))) (let ((_let_674 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_395 (= U V)))))) (let ((_let_675 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (tptp.a617 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_595)) :args _let_594)))) (let ((_let_676 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (tptp.a663 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_595)) :args _let_594)))) (let ((_let_677 (not _let_407))) (let ((_let_678 (ASSUME :args (_let_326)))) (let ((_let_679 (REORDERING (ASSUME :args (_let_214)) :args ((or _let_208 _let_213))))) (let ((_let_680 (REORDERING (ASSUME :args (_let_211)) :args ((or _let_208 _let_210))))) (let ((_let_681 (REORDERING (CNF_OR_POS :args (_let_407)) :args ((or _let_212 _let_209 _let_406 _let_677))))) (let ((_let_682 (MACRO_RESOLUTION_TRUST _let_681 _let_680 _let_679 _let_678 :args ((or _let_208 _let_677) true _let_209 true _let_212 false _let_325)))) (let ((_let_683 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp58 tptp.hskp41 _let_602 _let_424))))) (let ((_let_684 (ASSUME :args (_let_297)))) (let ((_let_685 (ASSUME :args (_let_295)))) (let ((_let_686 (REORDERING (ASSUME :args (_let_171)) :args ((or _let_168 _let_170))))) (let ((_let_687 (REORDERING (CNF_OR_POS :args (_let_536)) :args ((or _let_422 _let_421 _let_510 (not _let_536)))))) (let ((_let_688 (REORDERING (CNF_OR_POS :args (_let_547)) :args ((or _let_169 _let_421 _let_509 (not _let_547)))))) (let ((_let_689 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_450 (= U V)))))) (let ((_let_690 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c0_1 V)) (tptp.c1_1 V))))) (let ((_let_691 (tptp.c3_1 tptp.a625))) (let ((_let_692 (not _let_691))) (let ((_let_693 (or _let_692 _let_82 _let_79))) (let ((_let_694 (or _let_76 _let_82 _let_691))) (let ((_let_695 (or _let_76 _let_691 _let_79))) (let ((_let_696 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_697 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_412 (= U V)))))) (let ((_let_698 (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_699 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c2_1 U)) (tptp.c0_1 U))))) (let ((_let_700 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_701 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c3_1 U) (tptp.c0_1 U))))) (let ((_let_702 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_703 (forall ((U $$unsorted)) (or (tptp.c2_1 U) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_704 (or _let_102 _let_105 _let_99))) (let ((_let_705 (not _let_317))) (let ((_let_706 (not _let_319))) (let ((_let_707 (or _let_706 _let_705 _let_203))) (let ((_let_708 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c3_1 U) (tptp.c2_1 U))))) (let ((_let_709 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))))) (let ((_let_710 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_360 (= V W))) (MACRO_SR_PRED_INTRO :args ((= (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (tptp.c2_1 W) (tptp.c1_1 W))) _let_698) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_711 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_712 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_386 (= V U)))))) (let ((_let_713 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (tptp.a665 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)))) (let ((_let_714 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_358 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c3_1 U) (tptp.c0_1 U))) _let_700) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_715 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_358 (= U U)))))) (let ((_let_716 (not _let_385))) (let ((_let_717 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_385)) :args ((or _let_216 _let_383 _let_384 _let_716))) (REORDERING (ASSUME :args (_let_218)) :args ((or _let_215 _let_217))) (ASSUME :args (_let_328)) (ASSUME :args (_let_330)) :args ((or _let_215 _let_716) true _let_216 false _let_327 false _let_329)))) (let ((_let_718 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_719 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp55 _let_602 _let_701 _let_360))))) (let ((_let_720 (ASSUME :args (_let_355)))) (let ((_let_721 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_703 (= U V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (tptp.c2_1 V) (tptp.c1_1 V) (tptp.c3_1 V))) _let_702) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_722 (ASSUME :args (_let_320)))) (let ((_let_723 (ASSUME :args (_let_318)))) (let ((_let_724 (REORDERING (ASSUME :args (_let_205)) :args ((or _let_202 _let_204))))) (let ((_let_725 (REORDERING (ASSUME :args (_let_153)) :args ((or _let_147 _let_152))))) (let ((_let_726 (not _let_379))) (let ((_let_727 (ASSUME :args (_let_277)))) (let ((_let_728 (REORDERING (ASSUME :args (_let_150)) :args ((or _let_147 _let_149))))) (let ((_let_729 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_379)) :args ((or _let_151 _let_148 _let_378 _let_726))) _let_728 _let_727 :args ((or _let_147 _let_151 _let_726) true _let_148 false _let_276)))) (let ((_let_730 (_let_703))) (let ((_let_731 ((not (= (tptp.c2_1 U) true))))) (let ((_let_732 (ASSUME :args _let_730))) (let ((_let_733 (REORDERING (CNF_OR_POS :args (_let_707)) :args ((or _let_203 _let_706 _let_705 (not _let_707)))))) (let ((_let_734 (_let_377))) (let ((_let_735 ((not (= (tptp.c0_1 U) false))))) (let ((_let_736 (ASSUME :args _let_734))) (let ((_let_737 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_736 :args (tptp.a666 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_735)) :args _let_734)))) (let ((_let_738 (not _let_704))) (let ((_let_739 (_let_435))) (let ((_let_740 ((not (= (tptp.c3_1 U) false))))) (let ((_let_741 (ASSUME :args _let_739))) (let ((_let_742 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (tptp.a653 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_740)) :args _let_739)))) (let ((_let_743 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp41 _let_602 _let_436 _let_508))))) (let ((_let_744 (not _let_423))) (let ((_let_745 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_423)) :args ((or _let_169 _let_422 _let_421 _let_744))) _let_686 _let_685 _let_684 :args ((or _let_168 _let_744) true _let_169 false _let_294 false _let_296)))) (let ((_let_746 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (tptp.a617 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)))) (let ((_let_747 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a624 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_748 (not _let_444))) (let ((_let_749 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_444)) :args ((or _let_72 _let_69 _let_443 _let_748))) (REORDERING (ASSUME :args (_let_71)) :args ((or _let_68 _let_70))) (REORDERING (ASSUME :args (_let_74)) :args ((or _let_68 _let_73))) (ASSUME :args (_let_259)) :args ((or _let_68 _let_748) true _let_69 true _let_72 false _let_258)))) (let ((_let_750 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 tptp.hskp14 _let_602 _let_412))))) (let ((_let_751 (REORDERING (ASSUME :args (_let_84)) :args ((or _let_75 _let_83))))) (let ((_let_752 (REORDERING (ASSUME :args (_let_81)) :args ((or _let_75 _let_80))))) (let ((_let_753 (REORDERING (ASSUME :args (_let_78)) :args ((or _let_75 _let_77))))) (let ((_let_754 (_let_696))) (let ((_let_755 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) _let_579 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_600 :args (tptp.a625 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_598)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_754) :args (tptp.a625 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_754)) (REORDERING (CNF_OR_POS :args (_let_695)) :args ((or _let_79 _let_76 _let_691 (not _let_695)))) (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_82 _let_76 _let_691 (not _let_694)))) (REORDERING (CNF_OR_POS :args (_let_693)) :args ((or _let_82 _let_79 _let_692 (not _let_693)))) _let_753 _let_752 _let_751 _let_750 _let_579 _let_749 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a625 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_747 (MACRO_RESOLUTION_TRUST _let_746 _let_745 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_418 (= U V)))) _let_743 _let_579 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 _let_602 _let_708 _let_709))) _let_579 _let_498 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_377 (= U U)))) _let_742 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_704)) :args ((or _let_105 _let_102 _let_99 _let_738))) (REORDERING (ASSUME :args (_let_101)) :args ((or _let_98 _let_100))) (REORDERING (ASSUME :args (_let_104)) :args ((or _let_98 _let_103))) (REORDERING (ASSUME :args (_let_107)) :args ((or _let_98 _let_106))) :args ((or _let_98 _let_738) true _let_99 true _let_102 true _let_105)) _let_737 _let_733 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (tptp.a635 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)) _let_729 _let_725 _let_724 _let_723 _let_722 _let_721 _let_720 _let_719 _let_579 _let_718 _let_579 _let_717 _let_715 _let_714 _let_713 _let_614 _let_712 _let_615 _let_711 _let_579 _let_618 _let_579 _let_710 _let_513 :args ((or _let_360 _let_507 _let_508 _let_690) true _let_423 false _let_418 false tptp.hskp41 false tptp.ndr1_0 false _let_709 false tptp.ndr1_0 true _let_436 true _let_708 true _let_435 true tptp.hskp20 true _let_377 true _let_707 false _let_704 true _let_379 true _let_151 true _let_203 false _let_317 false _let_319 false _let_703 false tptp.hskp30 false tptp.hskp55 false tptp.ndr1_0 false _let_702 false tptp.ndr1_0 true tptp.hskp59 true _let_701 true _let_700 false _let_385 true _let_358 false _let_386 true _let_357 false _let_699 false tptp.ndr1_0 false tptp.hskp5 false tptp.ndr1_0 true _let_698 true _let_506)) _let_697 :args ((or _let_412 _let_507 _let_508) false tptp.ndr1_0 true _let_575 true _let_696 true _let_695 true _let_694 true _let_691 true _let_76 true _let_79 true _let_82 false tptp.hskp15 false tptp.ndr1_0 true tptp.hskp14 false _let_693 false _let_444 false _let_360 true _let_690)))) (let ((_let_756 (_let_412))) (let ((_let_757 ((not (= (tptp.c2_1 U) false))))) (let ((_let_758 (ASSUME :args _let_756))) (let ((_let_759 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_758 :args (tptp.a617 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_757)) :args _let_756)))) (let ((_let_760 (REORDERING (CNF_OR_POS :args (_let_511)) :args ((or _let_169 _let_422 _let_510 (not _let_511)))))) (let ((_let_761 (REORDERING (CNF_OR_POS :args (_let_512)) :args ((or _let_422 _let_421 _let_509 (not _let_512)))))) (let ((_let_762 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (tptp.a617 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)))) (let ((_let_763 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_395 (= U U)))))) (let ((_let_764 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_386 (= V V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V))) _let_387) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_765 (tptp.c1_1 tptp.a648))) (let ((_let_766 (not _let_311))) (let ((_let_767 (or _let_766 _let_195 _let_765))) (let ((_let_768 (not _let_264))) (let ((_let_769 (or _let_768 _let_93 _let_90))) (let ((_let_770 (not _let_309))) (let ((_let_771 (or _let_766 _let_770 _let_195))) (let ((_let_772 (not _let_765))) (let ((_let_773 (or _let_772 _let_770 _let_195))) (let ((_let_774 (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (not (tptp.c0_1 W)) (tptp.c2_1 W))))) (let ((_let_775 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_776 (not _let_250))) (let ((_let_777 (not _let_252))) (let ((_let_778 (or _let_777 _let_776 _let_58))) (let ((_let_779 (not _let_262))) (let ((_let_780 (tptp.c1_1 tptp.a627))) (let ((_let_781 (not _let_780))) (let ((_let_782 (or _let_781 _let_779 _let_86))) (let ((_let_783 (not _let_260))) (let ((_let_784 (or _let_779 _let_783 _let_780))) (let ((_let_785 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a628 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_786 (not _let_769))) (let ((_let_787 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_769)) :args ((or _let_93 _let_90 _let_768 _let_786))) (REORDERING (ASSUME :args (_let_92)) :args ((or _let_89 _let_91))) (REORDERING (ASSUME :args (_let_95)) :args ((or _let_89 _let_94))) (ASSUME :args (_let_265)) :args ((or _let_89 _let_786) true _let_90 true _let_93 false _let_264)))) (let ((_let_788 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp53 tptp.hskp17 _let_602 _let_394))))) (let ((_let_789 (ASSUME :args (_let_312)))) (let ((_let_790 (ASSUME :args (_let_310)))) (let ((_let_791 (REORDERING (ASSUME :args (_let_197)) :args ((or _let_194 _let_196))))) (let ((_let_792 (not _let_771))) (let ((_let_793 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_771)) :args ((or _let_195 _let_766 _let_770 _let_792))) _let_791 _let_790 _let_789 :args ((or _let_194 _let_792) true _let_195 false _let_309 false _let_311)))) (let ((_let_794 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (tptp.a648 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)))) (let ((_let_795 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_424 (= U W)))))) (let ((_let_796 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_797 (_let_775))) (let ((_let_798 (ASSUME :args _let_797))) (let ((_let_799 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_798 :args (tptp.a613 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_797)))) (let ((_let_800 (not _let_778))) (let ((_let_801 (ASSUME :args (_let_253)))) (let ((_let_802 (ASSUME :args (_let_251)))) (let ((_let_803 (REORDERING (ASSUME :args (_let_60)) :args ((or _let_57 _let_59))))) (let ((_let_804 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_778)) :args ((or _let_58 _let_777 _let_776 _let_800))) _let_803 _let_802 _let_801 :args ((or _let_57 _let_800) true _let_58 false _let_250 false _let_252)))) (let ((_let_805 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_784)) :args ((or _let_779 _let_783 _let_780 (not _let_784)))) (REORDERING (CNF_OR_POS :args (_let_782)) :args ((or _let_86 _let_779 _let_781 (not _let_782)))) (REORDERING (ASSUME :args (_let_88)) :args ((or _let_85 _let_87))) (ASSUME :args (_let_261)) (ASSUME :args (_let_263)) (REORDERING (ASSUME :args (_let_351)) :args ((or tptp.hskp17 tptp.hskp16 tptp.hskp9))) _let_804 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_758 :args (tptp.a627 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_757)) :args _let_756)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_798 :args (tptp.a627 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_797)) _let_799 _let_755 _let_796 _let_579 _let_689 _let_620 _let_795 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a648 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)) _let_794 (REORDERING (CNF_OR_POS :args (_let_773)) :args ((or _let_195 _let_770 _let_772 (not _let_773)))) (REORDERING (CNF_OR_POS :args (_let_767)) :args ((or _let_195 _let_766 _let_765 (not _let_767)))) _let_793 _let_791 _let_790 _let_789 _let_788 _let_579 _let_787 _let_785 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a648 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) :args ((or _let_394 _let_387 _let_430) true _let_780 true _let_86 false _let_260 false _let_262 false tptp.hskp16 true tptp.hskp9 false _let_784 false _let_782 false _let_778 false _let_412 false _let_775 false tptp.ndr1_0 true _let_508 true _let_507 true _let_774 true _let_450 true _let_424 true _let_773 false _let_765 true _let_771 true _let_195 false _let_309 false _let_311 false tptp.hskp53 false tptp.ndr1_0 true tptp.hskp17 false _let_769 false _let_767)))) (let ((_let_806 (not _let_455))) (let ((_let_807 (ASSUME :args (_let_334)))) (let ((_let_808 (REORDERING (ASSUME :args (_let_222)) :args ((or _let_219 _let_221))))) (let ((_let_809 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_613 :args (tptp.a670 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_612)) :args _let_611)))) (let ((_let_810 (_let_371))) (let ((_let_811 ((not (= (tptp.c3_1 U) false))))) (let ((_let_812 (ASSUME :args _let_810))) (let ((_let_813 (not _let_479))) (let ((_let_814 (not _let_468))) (let ((_let_815 (not _let_480))) (let ((_let_816 (not _let_483))) (let ((_let_817 (not _let_473))) (let ((_let_818 (not _let_485))) (let ((_let_819 (_let_818))) (let ((_let_820 (_let_485))) (let ((_let_821 ((not (= (tptp.c0_1 U) false))))) (let ((_let_822 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_823 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_824 (or (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) _let_823 _let_822))) (let ((_let_825 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_826 (not _let_825))) (let ((_let_827 (or _let_826 _let_822 _let_823))) (let ((_let_828 (not _let_248))) (let ((_let_829 (or _let_828 _let_54 _let_51))) (let ((_let_830 (or _let_822 _let_823 _let_825))) (let ((_let_831 (forall ((V $$unsorted)) (or (tptp.c2_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_832 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_833 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_834 (not _let_833))) (let ((_let_835 (or (not (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)) _let_834 _let_832))) (let ((_let_836 (tptp.c0_1 tptp.a613))) (let ((_let_837 (or _let_776 _let_58 _let_836))) (let ((_let_838 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_839 (or _let_834 _let_832 _let_838))) (let ((_let_840 (not _let_836))) (let ((_let_841 (or _let_776 _let_840 _let_777))) (let ((_let_842 (not _let_838))) (let ((_let_843 (or _let_834 _let_842 _let_832))) (let ((_let_844 (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (not (tptp.c0_1 W)) (not (tptp.c1_1 W)))))) (let ((_let_845 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (tptp.c3_1 U))))) (let ((_let_846 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c0_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_847 (not _let_256))) (let ((_let_848 (not _let_254))) (let ((_let_849 (or _let_848 _let_847 _let_63))) (let ((_let_850 (not _let_372))) (let ((_let_851 (_let_850))) (let ((_let_852 (not _let_830))) (let ((_let_853 (not _let_827))) (let ((_let_854 (not _let_367))) (let ((_let_855 (ASSUME :args (_let_275)))) (let ((_let_856 (REORDERING (ASSUME :args (_let_134)) :args ((or _let_128 _let_133))))) (let ((_let_857 (REORDERING (ASSUME :args (_let_131)) :args ((or _let_128 _let_130))))) (let ((_let_858 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_132 _let_129 _let_366 _let_854))) _let_857 _let_856 _let_855 :args ((or _let_128 _let_854) true _let_129 true _let_132 false _let_274)))) (let ((_let_859 (not _let_829))) (let ((_let_860 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp55 tptp.hskp26 _let_602 _let_372))))) (let ((_let_861 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_703 (= U V)))))) (let ((_let_862 (not _let_775))) (let ((_let_863 (_let_862))) (let ((_let_864 (_let_844))) (let ((_let_865 (_let_845))) (let ((_let_866 (REORDERING (CNF_OR_POS :args (_let_409)) :args ((or _let_392 _let_390 _let_408 (not _let_409)))))) (let ((_let_867 (_let_410))) (let ((_let_868 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_867) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_867)))) (let ((_let_869 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 _let_602 _let_410 _let_831))))) (let ((_let_870 (not _let_849))) (let ((_let_871 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_849)) :args ((or _let_63 _let_847 _let_848 _let_870))) (ASSUME :args (_let_255)) (ASSUME :args (_let_257)) :args ((or _let_62 _let_63 _let_870) false _let_254 false _let_256)) (REORDERING (ASSUME :args (_let_65)) :args ((or _let_62 _let_64))) :args ((or _let_62 _let_870) true _let_63)))) (let ((_let_872 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a616 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)))) (let ((_let_873 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (tptp.a642 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)))) (let ((_let_874 (not _let_493))) (let ((_let_875 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_493)) :args ((or _let_111 _let_491 _let_492 _let_874))) (REORDERING (ASSUME :args (_let_113)) :args ((or _let_110 _let_112))) (ASSUME :args (_let_267)) (ASSUME :args (_let_269)) :args ((or _let_110 _let_874) true _let_111 false _let_266 false _let_268)))) (let ((_let_876 (not _let_270))) (let ((_let_877 (or _let_876 _let_118 _let_115))) (let ((_let_878 (not _let_398))) (let ((_let_879 (not _let_395))) (let ((_let_880 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (tptp.a643 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_595)) :args _let_594)))) (let ((_let_881 (not _let_877))) (let ((_let_882 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_877)) :args ((or _let_118 _let_115 _let_876 _let_881))) (REORDERING (ASSUME :args (_let_117)) :args ((or _let_114 _let_116))) (REORDERING (ASSUME :args (_let_120)) :args ((or _let_114 _let_119))) (ASSUME :args (_let_271)) :args ((or _let_114 _let_881) true _let_115 true _let_118 false _let_270)))) (let ((_let_883 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp23 _let_602 _let_418))))) (let ((_let_884 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (tptp.a670 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)))) (let ((_let_885 (not _let_420))) (let ((_let_886 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_420)) :args ((or _let_227 _let_397 _let_419 _let_885))) (REORDERING (CNF_OR_POS :args (_let_398)) :args ((or _let_224 _let_397 _let_396 _let_878))) :args ((or _let_227 _let_224 _let_397 _let_878 _let_885) false _let_396)) (REORDERING (ASSUME :args (_let_226)) :args ((or _let_223 _let_225))) (REORDERING (ASSUME :args (_let_229)) :args ((or _let_223 _let_228))) (ASSUME :args (_let_336)) :args ((or _let_223 _let_878 _let_885) true _let_224 true _let_227 false _let_335)))) (let ((_let_887 (REORDERING (ASSUME :args (_let_350)) :args ((or tptp.hskp61 tptp.hskp60 tptp.hskp33))))) (let ((_let_888 (not _let_429))) (let ((_let_889 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_429)) :args ((or _let_157 _let_427 _let_428 _let_888))) (REORDERING (ASSUME :args (_let_159)) :args ((or _let_156 _let_158))) (ASSUME :args (_let_279)) (ASSUME :args (_let_281)) :args ((or _let_156 _let_888) true _let_157 false _let_278 false _let_280)))) (let ((_let_890 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (tptp.a599 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)))) (let ((_let_891 (_let_879))) (let ((_let_892 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_497 0)) (CONG (REFL :args (_let_497)) (MACRO_SR_PRED_INTRO :args ((= (not _let_448) _let_447))) :args _let_499)) :args ((or _let_447 _let_497))))) (let ((_let_893 (not _let_449))) (let ((_let_894 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_496)) :args ((or _let_448 _let_494 _let_495 (not _let_496)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_449)) :args ((or _let_448 _let_445 _let_446 _let_893))) (CNF_OR_NEG :args (_let_497 2)) _let_892 :args ((or _let_497 _let_446 _let_893) true _let_445 false _let_447)) (CNF_OR_NEG :args (_let_497 1)) _let_892 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_891)) :args _let_891)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_879) _let_395))) (REFL :args ((not _let_497))) :args _let_499)) (MACRO_RESOLUTION_TRUST _let_890 _let_889 _let_683 _let_579 _let_887 _let_745 _let_886 _let_746 _let_884 _let_883 _let_579 _let_682 _let_882 _let_676 _let_880 :args ((or tptp.hskp60 tptp.hskp23 _let_879 _let_878) true _let_429 false _let_424 false tptp.ndr1_0 false tptp.hskp33 true tptp.hskp41 true tptp.hskp61 false _let_423 false _let_420 false _let_418 false tptp.ndr1_0 true tptp.hskp58 true tptp.hskp24 false _let_407 false _let_877)) _let_875 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)) _let_873 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_688 _let_687 _let_686 _let_685 _let_684 _let_743 _let_579 _let_689 _let_872 _let_871 _let_869 _let_579 _let_868 _let_866 _let_590 _let_597 _let_675 _let_763 _let_788 _let_579 _let_793 _let_650 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_474 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))) _let_846) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) _let_579 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_845 (= U V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_865) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_865)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_864) :args (tptp.a613 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 W) false))))) :args _let_864)) (REORDERING (CNF_OR_POS :args (_let_843)) :args ((or _let_834 _let_832 _let_842 (not _let_843)))) (REORDERING (CNF_OR_POS :args (_let_841)) :args ((or _let_777 _let_776 _let_840 (not _let_841)))) _let_794 (REORDERING (CNF_OR_POS :args (_let_839)) :args ((or _let_834 _let_832 _let_838 (not _let_839)))) (REORDERING (CNF_OR_POS :args (_let_837)) :args ((or _let_58 _let_776 _let_836 (not _let_837)))) _let_795 (CNF_OR_NEG :args (_let_835 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_835 1)) (CONG (REFL :args (_let_835)) (MACRO_SR_PRED_INTRO :args ((= (not _let_834) _let_833))) :args _let_499)) :args ((or _let_833 _let_835))) _let_498 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_613 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_612)) :args _let_611)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_613 :args (tptp.a613 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_612)) :args _let_611)) _let_796 _let_579 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_863)) :args _let_863)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_862) _let_775))) (REFL :args ((not _let_835))) :args _let_499)) _let_742 _let_714 _let_799 _let_733 _let_718 _let_579 _let_804 _let_803 _let_802 _let_801 _let_724 _let_723 _let_722 _let_861 _let_721 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 tptp.hskp8 _let_602 _let_703))) _let_579 _let_860 _let_579 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_829)) :args ((or _let_54 _let_51 _let_828 _let_859))) (REORDERING (ASSUME :args (_let_53)) :args ((or _let_50 _let_52))) (REORDERING (ASSUME :args (_let_56)) :args ((or _let_50 _let_55))) (ASSUME :args (_let_249)) :args ((or _let_50 _let_859) true _let_51 true _let_54 false _let_248)) _let_787 _let_858 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_823 _let_822 _let_826 _let_853))) (REORDERING (CNF_OR_POS :args (_let_830)) :args ((or _let_823 _let_822 _let_825 _let_852))) (CNF_OR_NEG :args (_let_824 2)) (CNF_OR_NEG :args (_let_824 1)) :args ((or _let_824 _let_853 _let_852) false _let_825 true _let_822 true _let_823)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a612 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_785 _let_434 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 V) true))))) :args _let_431)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_851)) :args _let_851)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_850) _let_372))) (REFL :args ((not _let_824))) :args _let_499)) :args ((or _let_372 _let_387 _let_430 _let_392 _let_390 _let_388) true _let_509 true _let_169 false _let_294 false _let_296 false tptp.hskp41 false tptp.ndr1_0 true _let_508 true _let_450 true _let_849 false tptp.hskp11 false tptp.ndr1_0 true _let_410 true _let_409 false _let_399 false _let_400 false _let_547 false _let_395 false _let_394 false tptp.ndr1_0 true tptp.hskp53 false _let_536 false _let_474 false _let_846 false tptp.ndr1_0 true (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c0_1 V)) (tptp.c3_1 V))) true _let_845 true _let_844 true _let_843 true _let_841 false _let_771 false _let_838 false _let_836 false _let_424 true _let_832 false _let_833 true _let_436 false _let_839 false _let_837 false _let_774 false tptp.ndr1_0 true _let_835 true _let_435 false _let_358 true _let_775 true _let_707 false _let_700 false tptp.ndr1_0 true _let_778 true _let_58 false _let_250 false _let_252 true _let_203 false _let_317 false _let_319 true _let_831 true _let_702 false tptp.hskp9 false tptp.ndr1_0 false tptp.hskp55 false tptp.ndr1_0 true _let_703 true tptp.hskp8 true tptp.hskp17 true tptp.hskp26 true _let_830 false _let_829 false _let_769 false _let_367 false _let_827 true _let_824)) _let_589 _let_588 _let_587 _let_605 _let_764 :args ((or _let_372 _let_386 _let_430) true _let_388 false _let_389 false _let_391 true _let_393 true _let_387)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (tptp.a603 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_821)) :args _let_646)) (REORDERING (CNF_OR_POS :args (_let_490)) :args ((or _let_37 _let_489 _let_486 (not _let_490)))) (REORDERING (CNF_OR_POS :args (_let_488)) :args ((or _let_37 _let_34 _let_487 (not _let_488)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_820) :args (tptp.a603 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_820)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_819)) :args _let_819)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_818) _let_485))) (REFL :args ((not _let_484))) :args _let_499)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_483)) :args ((or _let_472 _let_481 _let_482 _let_816))) (REORDERING (CNF_OR_POS :args (_let_473)) :args ((or _let_472 _let_470 _let_469 _let_817))) (CNF_OR_NEG :args (_let_484 2)) (CNF_OR_NEG :args (_let_484 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_484 0)) (CONG (REFL :args (_let_484)) (MACRO_SR_PRED_INTRO :args ((= (not _let_472) _let_471))) :args _let_499)) :args ((or _let_471 _let_484))) :args ((or _let_484 _let_817 _let_816) false _let_469 true _let_470 true _let_481 false _let_471)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_758 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_757)) :args _let_756)) (REORDERING (ASSUME :args (_let_36)) :args ((or _let_33 _let_35))) (REORDERING (ASSUME :args (_let_39)) :args ((or _let_33 _let_38))) (ASSUME :args (_let_245)) _let_750 _let_579 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 tptp.hskp3 _let_602 _let_371))) _let_579 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_480)) :args ((or _let_82 _let_79 _let_76 _let_815))) _let_753 _let_752 _let_751 :args ((or _let_75 _let_815) true _let_76 true _let_79 true _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_468)) :args ((or _let_141 _let_138 _let_467 _let_814))) (REORDERING (CNF_OR_POS :args (_let_479)) :args ((or _let_144 _let_138 _let_466 _let_813))) (REORDERING (ASSUME :args (_let_140)) :args ((or _let_137 _let_139))) (REORDERING (ASSUME :args (_let_143)) :args ((or _let_137 _let_142))) (REORDERING (ASSUME :args (_let_146)) :args ((or _let_137 _let_145))) :args ((or _let_137 _let_814 _let_813) false _let_466 true _let_138 true _let_141 true _let_144)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_631 :args (tptp.a625 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_630)) :args _let_629)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_631 :args (tptp.a660 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_630)) :args _let_629)) _let_642 _let_579 _let_645 _let_641 _let_633 _let_579 _let_615 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_812 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_811)) :args _let_810)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_613 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_612)) :args _let_611)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_613 :args (tptp.a660 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) true))))) :args _let_611)) _let_614 _let_809 _let_637 (REORDERING (CNF_OR_POS :args (_let_464)) :args ((or _let_441 _let_437 _let_460 (not _let_464)))) _let_610 _let_628 _let_627 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_455)) :args ((or _let_220 _let_381 _let_454 _let_806))) _let_808 (ASSUME :args (_let_332)) _let_807 :args ((or _let_219 _let_806) true _let_220 false _let_331 false _let_333)) _let_557 _let_623 _let_622 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a669 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)) _let_555 (MACRO_RESOLUTION_TRUST _let_805 _let_764 _let_763 _let_762 _let_675 _let_761 _let_688 _let_760 _let_686 _let_685 _let_684 _let_759 _let_743 _let_579 _let_755 _let_689 _let_620 :args ((or _let_450 _let_436 _let_430) true _let_387 true _let_394 true _let_386 true _let_395 true _let_512 true _let_547 true _let_509 true _let_169 false _let_294 false _let_296 false _let_511 false tptp.hskp41 false tptp.ndr1_0 false _let_412 true _let_508 true _let_507)) _let_749 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_747 (MACRO_RESOLUTION_TRUST _let_762 _let_605 _let_761 _let_601 _let_760 _let_614 _let_686 _let_685 _let_684 _let_759 _let_615 _let_743 _let_579 _let_755 _let_618 _let_579 _let_689 _let_620 (MACRO_RESOLUTION_TRUST _let_688 _let_687 _let_686 _let_685 _let_684 _let_683 _let_579 _let_682 _let_676 _let_675 _let_674 _let_673 _let_579 _let_672 _let_668 _let_666 _let_665 _let_663 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_542 (= U V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c3_1 V) (tptp.c2_1 V))) _let_541) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_662 _let_661 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp46 _let_602 _let_539 _let_541))) _let_579 _let_659 _let_656 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_528)) :args ((or _let_520 _let_526 _let_527 _let_654))) (REORDERING (CNF_OR_POS :args (_let_522)) :args ((or _let_521 _let_520 _let_519 _let_653))) (ASSUME :args (_let_302)) (ASSUME :args (_let_304)) (ASSUME :args (_let_306)) :args ((or _let_301 _let_654 _let_653) false _let_519 false _let_300 false _let_303 false _let_305)) _let_652 _let_651 _let_650 _let_648 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (tptp.a626 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_639)) :args _let_638)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_646)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_525 0)) (CONG (REFL :args _let_621) (MACRO_SR_PRED_INTRO :args ((= (not _let_524) _let_523))) :args _let_499)) :args ((or _let_523 _let_525))) _let_633 _let_579 (MACRO_RESOLUTION_TRUST _let_645 _let_642 _let_579 _let_641 _let_637 _let_633 _let_579 _let_632 _let_628 _let_557 _let_624 _let_623 _let_622 _let_555 (REORDERING (CNF_OR_POS :args _let_621) :args ((or _let_515 _let_514 _let_524 _let_617))) _let_620 _let_551 _let_619 _let_618 _let_579 _let_549 _let_513 :args ((or tptp.hskp5 _let_360 _let_442 _let_617) false tptp.hskp38 false tptp.ndr1_0 false _let_477 true _let_465 false _let_474 false tptp.ndr1_0 true _let_478 true _let_463 true tptp.hskp37 true _let_616 false _let_462 false _let_459 false _let_453 true _let_523 false _let_450 true _let_514 true _let_515 false _let_507 false tptp.ndr1_0 true _let_518 true _let_506)) _let_615 _let_614 _let_610 _let_557 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a626 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)) _let_555 _let_551 _let_550 _let_549 :args ((or _let_360 (not _let_450) _let_442) true _let_509 true _let_169 false _let_294 false _let_296 false tptp.hskp41 false tptp.ndr1_0 true tptp.hskp58 false _let_407 false _let_547 false _let_395 false _let_546 false tptp.ndr1_0 true _let_424 true tptp.hskp42 true _let_545 false _let_544 true _let_531 false _let_542 false _let_529 false _let_533 false _let_541 false tptp.ndr1_0 true _let_540 true _let_539 true tptp.hskp46 true _let_538 true _let_537 false _let_536 false _let_535 false _let_528 true _let_372 false _let_523 false _let_474 false tptp.ndr1_0 true _let_525 true tptp.hskp5 false _let_357 false _let_358 true tptp.hskp37 false _let_522 false _let_453 true _let_514 false _let_516 true _let_518)) _let_513 :args ((or _let_360 _let_436 _let_442) false _let_386 true _let_512 false _let_393 true _let_509 true _let_358 true _let_169 false _let_294 false _let_296 false _let_511 true _let_357 false tptp.hskp41 false tptp.ndr1_0 false _let_412 false tptp.hskp5 false tptp.ndr1_0 true _let_508 true _let_507 true _let_450 true _let_506)) _let_505 _let_504 _let_503 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_501)) :args _let_501)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_500) _let_435))) (REFL :args ((not _let_442))) :args _let_499)) _let_498 :args (_let_435 false _let_446 true _let_494 false _let_447 true _let_497 true _let_395 true tptp.hskp23 false _let_496 false _let_493 false _let_386 true _let_372 true _let_490 true _let_486 false _let_488 false _let_485 false _let_484 false _let_483 true _let_34 true _let_37 false _let_244 false _let_412 false tptp.ndr1_0 false tptp.hskp3 false tptp.ndr1_0 true tptp.hskp15 true tptp.hskp29 false _let_480 false _let_479 false _let_478 false tptp.ndr1_0 true tptp.hskp38 false _let_477 false _let_474 false tptp.ndr1_0 true tptp.hskp5 true _let_371 false _let_473 false _let_468 false _let_357 false _let_398 true _let_465 true _let_464 false _let_358 true _let_463 true _let_460 true tptp.hskp60 true tptp.hskp37 false _let_462 false _let_459 false _let_455 false _let_453 false _let_450 true tptp.hskp14 false _let_449 false _let_444 false _let_360 true _let_437 false _let_438 false _let_440 true _let_442 true _let_436)))) (let ((_let_895 (not _let_365))) (let ((_let_896 (not _let_369))) (let ((_let_897 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_370 0)) (CONG (REFL :args (_let_370)) (MACRO_SR_PRED_INTRO :args ((= (not _let_364) _let_363))) :args _let_499)) :args ((or _let_363 _let_370))))) (let ((_let_898 (CNF_OR_NEG :args (_let_370 2)))) (let ((_let_899 (not _let_371))) (let ((_let_900 (_let_899))) (let ((_let_901 (MACRO_RESOLUTION_TRUST _let_733 (MACRO_RESOLUTION_TRUST _let_742 _let_894 :args (_let_707 false _let_435)) _let_724 _let_723 _let_722 :args (_let_202 false _let_707 true _let_203 false _let_317 false _let_319)))) (let ((_let_902 (not _let_374))) (let ((_let_903 (not _let_376))) (let ((_let_904 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_595)) :args _let_594)))) (let ((_let_905 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_758 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_757)) :args _let_756)))) (let ((_let_906 (not _let_405))) (let ((_let_907 (not _let_416))) (let ((_let_908 (REFL :args (_let_417)))) (let ((_let_909 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_405)) :args ((or _let_404 _let_401 _let_402 _let_906))) (REORDERING (CNF_OR_POS :args (_let_416)) :args ((or _let_415 _let_401 _let_413 _let_907))) (CNF_OR_NEG :args (_let_417 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_417 1)) (CONG _let_908 (MACRO_SR_PRED_INTRO :args ((= (not _let_404) _let_403))) :args _let_499)) :args ((or _let_403 _let_417))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_417 0)) (CONG _let_908 (MACRO_SR_PRED_INTRO :args ((= (not _let_415) _let_414))) :args _let_499)) :args ((or _let_414 _let_417))) :args ((or _let_417 _let_907 _let_906) true _let_402 true _let_401 false _let_403 false _let_414)))) (let ((_let_910 (not _let_418))) (let ((_let_911 (_let_910))) (let ((_let_912 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_911)) :args _let_911)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_910) _let_418))) (REFL :args ((not _let_417))) :args _let_499)))) (let ((_let_913 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_382)) :args ((or _let_220 _let_381 _let_380 (not _let_382)))) (REORDERING (CNF_OR_POS :args (_let_426)) :args ((or _let_220 _let_381 _let_425 (not _let_426)))) _let_808 _let_807 _let_887 _let_889 _let_890 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (tptp.a669 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)) _let_683 _let_579 _let_745 _let_886 _let_746 _let_884 _let_912 _let_909 _let_905 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_412 (= U V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c0_1 V)) (tptp.c1_1 V))) _let_411) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) _let_579 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_410 (= U U)))) _let_868 _let_866 _let_682 _let_590 _let_676 _let_904 _let_597 _let_809 _let_763 _let_601 _let_589 _let_588 _let_587 _let_805 _let_605 _let_764 _let_713 _let_717 _let_720 (MACRO_RESOLUTION_TRUST _let_729 _let_725 :args ((or _let_147 _let_726) true _let_151)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_736 :args (tptp.a669 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_735)) :args _let_734)) _let_737 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp52 tptp.hskp25 _let_602 _let_377))) _let_579 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_376)) :args ((or _let_191 _let_188 _let_375 _let_903))) (REORDERING (ASSUME :args (_let_190)) :args ((or _let_187 _let_189))) (REORDERING (ASSUME :args (_let_193)) :args ((or _let_187 _let_192))) (ASSUME :args (_let_308)) :args ((or _let_187 _let_903) true _let_188 true _let_191 false _let_307)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_374)) :args ((or _let_125 _let_122 _let_373 _let_902))) (REORDERING (ASSUME :args (_let_124)) :args ((or _let_121 _let_123))) (REORDERING (ASSUME :args (_let_127)) :args ((or _let_121 _let_126))) (ASSUME :args (_let_273)) :args ((or _let_121 _let_902) true _let_122 true _let_125 false _let_272)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (tptp.a647 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_821)) :args _let_646)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_812 :args (tptp.a646 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_811)) :args _let_810)) _let_860 _let_579 _let_901 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_900)) :args _let_900)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_899) _let_371))) (REFL :args ((not _let_370))) :args _let_499)) _let_858 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_369)) :args ((or _let_364 _let_362 _let_368 _let_896))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_365)) :args ((or _let_364 _let_362 _let_361 _let_895))) _let_898 _let_897 :args ((or _let_370 _let_361 _let_895) true _let_362 false _let_363)) _let_898 _let_897 :args ((or _let_370 _let_896 _let_895) false _let_361 true _let_362 false _let_363)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_740)) :args _let_739)) _let_894 :args (_let_369 false _let_435)) _let_434 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) :args (_let_430 true _let_380 true _let_220 false _let_333 false tptp.hskp60 true tptp.hskp33 false _let_429 false _let_426 false _let_424 false tptp.ndr1_0 true tptp.hskp41 true tptp.hskp61 false _let_423 false _let_420 false _let_418 false _let_417 false _let_416 false _let_412 false _let_411 false tptp.ndr1_0 true (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))) true _let_410 true _let_409 true tptp.hskp58 false _let_399 false _let_407 false _let_405 false _let_400 false _let_398 false _let_395 false _let_358 true _let_388 false _let_389 false _let_391 false _let_394 true _let_393 true _let_387 true _let_386 true _let_385 false tptp.hskp59 true tptp.hskp30 false _let_382 false _let_379 false _let_377 false tptp.ndr1_0 true tptp.hskp52 true tptp.hskp25 false _let_376 false _let_374 false _let_372 false tptp.ndr1_0 true tptp.hskp55 false _let_371 true tptp.hskp26 false _let_370 false _let_369 false _let_367 false _let_365)))) (let ((_let_914 (not _let_347))) (let ((_let_915 (not _let_345))) (let ((_let_916 (or _let_915 _let_914 _let_241))) (let ((_let_917 (not _let_916))) (let ((_let_918 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c2_1 V) (tptp.c1_1 V))))) (let ((_let_919 (tptp.c1_1 tptp.a666))) (let ((_let_920 (not _let_919))) (let ((_let_921 (or _let_920 _let_378 _let_151))) (let ((_let_922 (not _let_321))) (let ((_let_923 (not _let_323))) (let ((_let_924 (tptp.c0_1 tptp.a658))) (let ((_let_925 (not _let_924))) (let ((_let_926 (or _let_925 _let_923 _let_922))) (let ((_let_927 (not _let_341))) (let ((_let_928 (not _let_343))) (let ((_let_929 (or _let_928 _let_927 _let_237))) (let ((_let_930 (not _let_337))) (let ((_let_931 (not _let_339))) (let ((_let_932 (or _let_931 _let_930 _let_233))) (let ((_let_933 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (not (tptp.c0_1 V)) (tptp.c1_1 V))))) (let ((_let_934 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c1_1 U) (tptp.c0_1 U))))) (let ((_let_935 (or _let_151 _let_919 _let_148))) (let ((_let_936 (or _let_378 _let_919 _let_151))) (let ((_let_937 (forall ((W $$unsorted)) (or (not (tptp.c0_1 W)) (tptp.c2_1 W) (tptp.c1_1 W))))) (let ((_let_938 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c1_1 U))))) (let ((_let_939 (not _let_921))) (let ((_let_940 (not _let_926))) (let ((_let_941 (or _let_922 _let_923 _let_924))) (let ((_let_942 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_943 (tptp.c0_1 tptp.a652))) (let ((_let_944 (or _let_366 _let_943 _let_132))) (let ((_let_945 (not _let_943))) (let ((_let_946 (or _let_366 _let_945 _let_129))) (let ((_let_947 (not _let_941))) (let ((_let_948 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_758 :args (tptp.a674 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_757)) :args _let_756)))) (let ((_let_949 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_395 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c1_1 U))) _let_934) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_950 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp55 _let_602 _let_934 _let_933))))) (let ((_let_951 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_539 (= U V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))) _let_933) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_952 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_636 :args (tptp.a673 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_635)) :args _let_634)))) (let ((_let_953 (not _let_932))) (let ((_let_954 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_932)) :args ((or _let_233 _let_931 _let_930 _let_953))) (REORDERING (ASSUME :args (_let_235)) :args ((or _let_232 _let_234))) (ASSUME :args (_let_338)) (ASSUME :args (_let_340)) :args ((or _let_232 _let_953) true _let_233 false _let_337 false _let_339)))) (let ((_let_955 (ASSUME :args (_let_344)))) (let ((_let_956 (ASSUME :args (_let_342)))) (let ((_let_957 (REORDERING (ASSUME :args (_let_239)) :args ((or _let_236 _let_238))))) (let ((_let_958 (not _let_929))) (let ((_let_959 (REORDERING (CNF_OR_POS :args (_let_929)) :args ((or _let_237 _let_928 _let_927 _let_958))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_614 (MACRO_RESOLUTION_TRUST _let_715 (MACRO_RESOLUTION_TRUST _let_719 _let_901 _let_579 _let_913 :args (_let_701 true tptp.hskp55 false tptp.ndr1_0 true _let_360)) :args (_let_358 false _let_701)) (MACRO_RESOLUTION_TRUST _let_615 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_681 _let_680 _let_679 _let_678 _let_683 _let_579 _let_745 _let_746 _let_912 _let_909 _let_672 _let_676 _let_904 _let_666 _let_663 _let_949 _let_662 _let_661 _let_950 _let_579 _let_659 _let_951 _let_656 _let_651 _let_624 _let_632 _let_642 _let_579 _let_952 _let_954 _let_578 (MACRO_RESOLUTION_TRUST _let_959 _let_957 _let_956 _let_955 :args ((or _let_236 _let_958) true _let_237 false _let_341 false _let_343)) _let_948 _let_905 _let_697 _let_711 _let_579 _let_712 _let_713 _let_717 _let_720 (MACRO_RESOLUTION_TRUST _let_959 _let_957 _let_956 _let_955 _let_578 _let_954 _let_952 _let_642 _let_579 _let_632 _let_624 _let_651 _let_656 _let_951 _let_950 _let_579 _let_949 _let_597 _let_590 _let_948 _let_866 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_412 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (tptp.c1_1 U))) _let_938) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_589 _let_588 _let_587 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_579 _let_605 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_386 (= V V)))) (MACRO_RESOLUTION_TRUST _let_681 _let_680 _let_679 _let_678 _let_683 _let_579 _let_745 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (tptp.a652 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)) _let_746 (REORDERING (CNF_OR_POS :args (_let_946)) :args ((or _let_129 _let_366 _let_945 (not _let_946)))) _let_883 _let_579 (REORDERING (CNF_OR_POS :args (_let_944)) :args ((or _let_132 _let_366 _let_943 (not _let_944)))) _let_882 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (tptp.a652 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_595)) :args _let_594)) _let_676 _let_880 _let_674 _let_673 _let_579 _let_668 _let_665 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_542 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c3_1 U) (tptp.c2_1 U))) _let_942) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp56 _let_602 _let_942 _let_918))) _let_579 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_941)) :args ((or _let_923 _let_922 _let_924 _let_947))) (REORDERING (CNF_OR_POS :args (_let_926)) :args ((or _let_923 _let_922 _let_925 _let_940))) (ASSUME :args (_let_322)) (ASSUME :args (_let_324)) :args ((or _let_206 _let_940 _let_947) true _let_924 false _let_321 false _let_323)) _let_875 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (tptp.a658 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)) _let_873 :args ((or _let_132 _let_129 _let_538 _let_918 _let_366 _let_603 _let_940) true _let_209 true _let_212 false _let_325 false tptp.hskp58 false tptp.ndr1_0 true tptp.hskp41 true _let_424 false _let_423 true _let_946 false _let_418 false tptp.ndr1_0 false _let_943 true tptp.hskp24 false _let_944 false _let_407 false _let_877 false _let_395 false _let_546 false tptp.ndr1_0 true tptp.hskp42 false _let_544 false _let_542 false _let_942 false tptp.ndr1_0 true tptp.hskp56 true tptp.hskp23 false _let_941 false _let_493)) _let_868 _let_857 _let_856 _let_855 _let_869 _let_579 _let_860 _let_579 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_372 (= U W))) (MACRO_SR_PRED_INTRO :args ((= (forall ((W $$unsorted)) (or (not (tptp.c0_1 W)) (tptp.c1_1 W) (tptp.c2_1 W))) _let_937) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_652 _let_861 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (tptp.a666 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_821)) :args _let_646)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (tptp.a666 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)) (REORDERING (CNF_OR_POS :args (_let_936)) :args ((or _let_151 _let_378 _let_919 (not _let_936)))) (REORDERING (CNF_OR_POS :args (_let_935)) :args ((or _let_151 _let_148 _let_919 (not _let_935)))) (REORDERING (CNF_OR_POS :args (_let_921)) :args ((or _let_151 _let_378 _let_920 _let_939))) _let_728 _let_725 _let_727 :args ((or tptp.hskp66 tptp.hskp55 tptp.hskp38 _let_147 tptp.hskp11 _let_918 _let_517 _let_515 _let_514 _let_940 _let_939) true _let_237 false _let_341 false _let_343 false tptp.hskp65 true tptp.hskp64 false _let_932 false _let_465 false tptp.ndr1_0 true _let_478 true _let_616 true _let_523 false _let_537 false _let_539 false _let_933 false tptp.ndr1_0 true _let_934 true _let_395 true _let_400 false _let_929 true _let_399 false _let_412 true _let_388 false _let_389 false _let_391 false _let_938 false tptp.ndr1_0 true _let_393 true (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V))) true _let_386 false _let_409 true _let_129 true _let_132 false _let_274 false _let_410 false tptp.ndr1_0 false tptp.hskp26 false tptp.ndr1_0 true _let_937 true _let_538 true _let_831 true _let_372 true _let_703 true _let_936 true _let_935 true _let_919 true _let_148 true _let_151 false _let_276)) _let_645 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (tptp.a658 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_649)) :args _let_638)) _let_648 _let_641 _let_633 _let_579 _let_557 _let_871 _let_622 _let_555 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a666 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_552)) _let_872 _let_620 _let_551 _let_619 _let_550 _let_618 _let_579 _let_549 _let_710 _let_513 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_360 (= V V)))) :args ((or tptp.hskp66 tptp.hskp55 tptp.hskp5 _let_360) true _let_209 true _let_212 false _let_325 false tptp.hskp58 false tptp.ndr1_0 true tptp.hskp41 false _let_423 false _let_418 false _let_417 true _let_424 false _let_407 false _let_405 true _let_545 true _let_531 false _let_395 false _let_529 false _let_533 false _let_934 false tptp.ndr1_0 true _let_540 true _let_933 true _let_539 true _let_537 false _let_523 false _let_616 false _let_478 false tptp.ndr1_0 true _let_465 true _let_932 false tptp.hskp64 true tptp.hskp65 false _let_929 false _let_416 false _let_412 false _let_690 false tptp.ndr1_0 true _let_699 true _let_386 true _let_385 false tptp.hskp59 true tptp.hskp30 true tptp.hskp38 false _let_926 false _let_535 false _let_477 false _let_474 false tptp.ndr1_0 true tptp.hskp37 true tptp.hskp11 false _let_459 false _let_453 false _let_921 false _let_849 false _let_450 true _let_514 true _let_515 false _let_516 false _let_507 false tptp.ndr1_0 true _let_518 true _let_698 true _let_506 true _let_918)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_916)) :args ((or _let_241 _let_914 _let_915 _let_917))) (REORDERING (ASSUME :args (_let_243)) :args ((or _let_240 _let_242))) (ASSUME :args (_let_346)) (ASSUME :args (_let_348)) :args ((or _let_240 _let_917) true _let_241 false _let_345 false _let_347)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (tptp.a675 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_740)) :args _let_739)) _let_894 :args (_let_916 false _let_435)) :args (_let_240 false _let_916)) _let_901 _let_913 :args (tptp.hskp5 true tptp.hskp66 true tptp.hskp55 true _let_360)) :args (_let_359 false tptp.hskp5)) :args (false false _let_358 true _let_357)) :args (_let_355 _let_354 _let_353 _let_352 (or _let_231 tptp.ndr1_0) (or _let_230 tptp.ndr1_0) (or _let_223 tptp.ndr1_0) (or _let_219 tptp.ndr1_0) (or _let_215 tptp.ndr1_0) (or _let_208 tptp.ndr1_0) (or _let_207 tptp.ndr1_0) (or _let_206 tptp.ndr1_0) (or _let_202 tptp.ndr1_0) (or _let_198 tptp.ndr1_0) (or _let_194 tptp.ndr1_0) (or _let_187 tptp.ndr1_0) (or _let_186 tptp.ndr1_0) (or _let_185 tptp.ndr1_0) (or _let_184 tptp.ndr1_0) (or _let_183 tptp.ndr1_0) (or _let_182 tptp.ndr1_0) (or _let_301 tptp.ndr1_0) (or _let_181 tptp.ndr1_0) (or _let_180 tptp.ndr1_0) (or _let_179 tptp.ndr1_0) (or _let_172 tptp.ndr1_0) (or _let_168 tptp.ndr1_0) (or _let_293 tptp.ndr1_0) (or _let_167 tptp.ndr1_0) (or _let_287 tptp.ndr1_0) (or _let_163 tptp.ndr1_0) (or _let_162 tptp.ndr1_0) (or _let_161 tptp.ndr1_0) (or _let_160 tptp.ndr1_0) (or _let_156 tptp.ndr1_0) (or _let_155 tptp.ndr1_0) (or _let_154 tptp.ndr1_0) (or _let_147 tptp.ndr1_0) (or _let_137 tptp.ndr1_0) (or _let_136 tptp.ndr1_0) (or _let_135 tptp.ndr1_0) (or _let_128 tptp.ndr1_0) (or _let_121 tptp.ndr1_0) (or _let_114 tptp.ndr1_0) (or _let_110 tptp.ndr1_0) (or _let_109 tptp.ndr1_0) (or _let_108 tptp.ndr1_0) (or _let_98 tptp.ndr1_0) (or _let_97 tptp.ndr1_0) (or _let_96 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_85 tptp.ndr1_0) (or _let_75 tptp.ndr1_0) (or _let_68 tptp.ndr1_0) (or _let_67 tptp.ndr1_0) (or _let_66 tptp.ndr1_0) (or _let_62 tptp.ndr1_0) (or _let_61 tptp.ndr1_0) (or _let_57 tptp.ndr1_0) (or _let_50 tptp.ndr1_0) (or _let_49 tptp.ndr1_0) (or _let_48 tptp.ndr1_0) (or _let_41 tptp.ndr1_0) (or _let_40 tptp.ndr1_0) (or _let_33 tptp.ndr1_0) (or _let_32 tptp.ndr1_0) (or _let_31 tptp.ndr1_0) (or _let_30 tptp.ndr1_0) (or tptp.hskp33 tptp.hskp34 tptp.hskp2) (or tptp.hskp3 tptp.hskp4 tptp.hskp36) _let_351 (or tptp.hskp18 tptp.hskp9 tptp.hskp19) (or tptp.hskp27 tptp.hskp40 tptp.hskp28) _let_350 _let_349 _let_348 _let_346 _let_344 _let_342 _let_340 _let_338 (or _let_231 (tptp.c3_1 tptp.a672)) (or _let_230 (tptp.c3_1 tptp.a671)) (or _let_230 (tptp.c0_1 tptp.a671)) _let_336 _let_334 _let_332 _let_330 _let_328 _let_326 (or _let_207 (tptp.c1_1 tptp.a662)) (or _let_207 (tptp.c2_1 tptp.a662)) _let_324 _let_322 _let_320 _let_318 _let_316 _let_314 _let_312 _let_310 _let_308 (or _let_186 (tptp.c2_1 tptp.a644)) (or _let_186 (tptp.c0_1 tptp.a644)) (or _let_185 (tptp.c1_1 tptp.a640)) (or _let_185 (tptp.c0_1 tptp.a640)) (or _let_184 (tptp.c1_1 tptp.a639)) (or _let_183 (tptp.c1_1 tptp.a638)) (or _let_183 (tptp.c2_1 tptp.a638)) (or _let_182 (tptp.c3_1 tptp.a636)) _let_306 _let_304 _let_302 (or _let_181 (tptp.c3_1 tptp.a623)) (or _let_181 (tptp.c2_1 tptp.a623)) (or _let_180 (tptp.c2_1 tptp.a621)) (or _let_180 (tptp.c3_1 tptp.a621)) (or _let_179 (tptp.c0_1 tptp.a619)) _let_299 _let_297 _let_295 (or _let_293 (tptp.c2_1 tptp.a614)) (or _let_293 (tptp.c1_1 tptp.a614)) (or _let_293 (tptp.c0_1 tptp.a614)) (or _let_167 (tptp.c3_1 tptp.a611)) (or _let_167 (tptp.c2_1 tptp.a611)) _let_292 _let_290 _let_288 _let_285 _let_283 (or _let_162 (tptp.c1_1 tptp.a605)) (or _let_162 (tptp.c0_1 tptp.a605)) (or _let_161 (tptp.c2_1 tptp.a602)) (or _let_160 (tptp.c2_1 tptp.a600)) (or _let_160 (tptp.c0_1 tptp.a600)) _let_281 _let_279 (or _let_155 (tptp.c0_1 tptp.a677)) (or _let_154 (tptp.c1_1 tptp.a667)) _let_277 (or _let_136 (tptp.c1_1 tptp.a656)) _let_275 _let_273 _let_271 _let_269 _let_267 (or _let_109 (tptp.c0_1 tptp.a641)) (or _let_108 (tptp.c1_1 tptp.a637)) (or _let_108 (tptp.c0_1 tptp.a637)) (or _let_96 (tptp.c0_1 tptp.a632)) (or _let_96 (tptp.c3_1 tptp.a632)) _let_265 _let_263 _let_261 _let_259 _let_257 _let_255 (or _let_61 (tptp.c0_1 tptp.a615)) (or _let_61 (tptp.c3_1 tptp.a615)) _let_253 _let_251 _let_249 (or _let_49 (tptp.c1_1 tptp.a610)) (or _let_48 (tptp.c2_1 tptp.a609)) _let_247 _let_245 (or _let_32 (tptp.c0_1 tptp.a601)) (or _let_31 (tptp.c0_1 tptp.a598)) (or _let_31 (tptp.c2_1 tptp.a598)) (or _let_30 (tptp.c0_1 tptp.a597)) _let_243 _let_239 _let_235 (or (not (tptp.c0_1 tptp.a672)) _let_231) (or (not (tptp.c2_1 tptp.a672)) _let_231) (or (not (tptp.c1_1 tptp.a671)) _let_230) _let_229 _let_226 _let_222 _let_218 _let_214 _let_211 (or (not (tptp.c0_1 tptp.a662)) _let_207) (or (not (tptp.c1_1 tptp.a658)) _let_206) _let_205 _let_201 _let_197 _let_193 _let_190 (or (not (tptp.c3_1 tptp.a644)) _let_186) (or (not (tptp.c3_1 tptp.a640)) _let_185) (or (not (tptp.c2_1 tptp.a639)) _let_184) (or (not (tptp.c0_1 tptp.a639)) _let_184) (or (not (tptp.c3_1 tptp.a638)) _let_183) (or (not (tptp.c1_1 tptp.a636)) _let_182) (or (not (tptp.c0_1 tptp.a636)) _let_182) (or (not (tptp.c0_1 tptp.a623)) _let_181) (or (not (tptp.c0_1 tptp.a621)) _let_180) (or (not (tptp.c3_1 tptp.a619)) _let_179) (or (not (tptp.c1_1 tptp.a619)) _let_179) _let_178 _let_175 _let_171 (or (not (tptp.c1_1 tptp.a611)) _let_167) _let_166 (or (not (tptp.c3_1 tptp.a605)) _let_162) (or (not (tptp.c3_1 tptp.a602)) _let_161) (or (not (tptp.c1_1 tptp.a602)) _let_161) (or (not (tptp.c3_1 tptp.a600)) _let_160) _let_159 (or (not (tptp.c3_1 tptp.a677)) _let_155) (or (not (tptp.c2_1 tptp.a677)) _let_155) (or (not (tptp.c2_1 tptp.a667)) _let_154) (or (not (tptp.c0_1 tptp.a667)) _let_154) _let_153 _let_150 _let_146 _let_143 _let_140 (or (not (tptp.c3_1 tptp.a656)) _let_136) (or (not (tptp.c0_1 tptp.a656)) _let_136) (or (not (tptp.c3_1 tptp.a654)) _let_135) (or (not (tptp.c0_1 tptp.a654)) _let_135) (or (not (tptp.c1_1 tptp.a654)) _let_135) _let_134 _let_131 _let_127 _let_124 _let_120 _let_117 _let_113 (or (not (tptp.c1_1 tptp.a641)) _let_109) (or (not (tptp.c2_1 tptp.a641)) _let_109) (or (not (tptp.c3_1 tptp.a637)) _let_108) _let_107 _let_104 _let_101 (or (not (tptp.c1_1 tptp.a634)) _let_97) (or (not (tptp.c0_1 tptp.a634)) _let_97) (or (not (tptp.c3_1 tptp.a634)) _let_97) (or (not (tptp.c1_1 tptp.a632)) _let_96) _let_95 _let_92 _let_88 _let_84 _let_81 _let_78 _let_74 _let_71 (or (not (tptp.c1_1 tptp.a622)) _let_67) (or (not (tptp.c2_1 tptp.a622)) _let_67) (or (not (tptp.c0_1 tptp.a622)) _let_67) (or (not (tptp.c0_1 tptp.a620)) _let_66) (or (not (tptp.c3_1 tptp.a620)) _let_66) (or (not (tptp.c1_1 tptp.a620)) _let_66) _let_65 (or (not (tptp.c2_1 tptp.a615)) _let_61) _let_60 _let_56 _let_53 (or (not (tptp.c2_1 tptp.a610)) _let_49) (or (not (tptp.c0_1 tptp.a610)) _let_49) (or (not (tptp.c0_1 tptp.a609)) _let_48) (or (not (tptp.c1_1 tptp.a609)) _let_48) _let_47 _let_44 (or (not (tptp.c2_1 tptp.a604)) _let_40) (or (not (tptp.c0_1 tptp.a604)) _let_40) (or (not (tptp.c3_1 tptp.a604)) _let_40) _let_39 _let_36 (or (not (tptp.c2_1 tptp.a601)) _let_32) (or (not (tptp.c3_1 tptp.a601)) _let_32) (or (not (tptp.c1_1 tptp.a598)) _let_31) (or (not (tptp.c3_1 tptp.a597)) _let_30) (or (not (tptp.c1_1 tptp.a597)) _let_30) _let_29 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c2_1 U) (tptp.c1_1 U) tptp.hskp50 tptp.hskp22)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c2_1 U) tptp.hskp62 tptp.hskp63)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp0 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c2_1 U) tptp.hskp40 tptp.hskp10)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp47 tptp.hskp21)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp48 tptp.hskp49)) _let_28 _let_27 _let_26 _let_25 _let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) tptp.hskp6)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp7 tptp.hskp39)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp43 tptp.hskp12)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp44 tptp.hskp13)) _let_23 _let_22 _let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp32 tptp.hskp30)) _let_20 _let_19 _let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c3_1 U)) (tptp.c3_1 V) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp42)) _let_17 _let_16 _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 V) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp51)) _let_14 _let_13 _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp45)) _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c0_1 V) tptp.hskp16)) _let_10 _let_9 _let_8 _let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp36)) _let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp31)) (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)) (not (tptp.c3_1 V)) (tptp.c2_1 U) tptp.hskp35)) (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.c3_1 V)) (not (tptp.c0_1 V)) (tptp.c1_1 V) tptp.hskp57)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (not (tptp.c2_1 V)) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V))) _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c3_1 U)) (not (tptp.c0_1 U)) (not (tptp.c3_1 V)) (not (tptp.c0_1 V)) (tptp.c3_1 W) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c1_1 U) (tptp.c2_1 V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c0_1 V)) (tptp.c0_1 U) (tptp.c2_1 V) (tptp.c3_1 W) (tptp.c2_1 W) (tptp.c0_1 W))) _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (not (tptp.c1_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c0_1 V) (tptp.c0_1 W))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.73/0.94 )
% 0.73/0.94 % SZS output end Proof for SYN440-1
% 0.73/0.94 % cvc5---1.0.5 exiting
% 0.73/0.94 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------