TSTP Solution File: SYN436-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN436-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 02:03:12 EDT 2023
% Result : Unsatisfiable 0.50s 0.84s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN436-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 18:03:47 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PTNSoAv1W5/cvc5---1.0.5_471.p...
% 0.22/0.53 ------- get file name : TPTP file name is SYN436-1
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_471.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.50/0.84 % SZS status Unsatisfiable for SYN436-1
% 0.50/0.84 % SZS output start Proof for SYN436-1
% 0.50/0.87 (
% 0.50/0.87 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp19)))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp11)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp10)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))))) (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.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp15)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp13)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp4)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp5)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp4)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp6 tptp.hskp10)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp26 tptp.hskp20)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp9 tptp.hskp24)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp17 tptp.hskp18)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp8 tptp.hskp9)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp26 tptp.hskp16)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp2 tptp.hskp14)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp25 tptp.hskp26)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp2 tptp.hskp3)))) (let ((_let_28 (not tptp.hskp0))) (let ((_let_29 (tptp.c2_1 tptp.a1))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (tptp.c0_1 tptp.a1))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_28))) (let ((_let_35 (not tptp.hskp1))) (let ((_let_36 (tptp.c3_1 tptp.a2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (tptp.c0_1 tptp.a2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_35))) (let ((_let_42 (not tptp.hskp2))) (let ((_let_43 (tptp.c3_1 tptp.a4))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (tptp.c2_1 tptp.a4))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_42))) (let ((_let_49 (not tptp.hskp3))) (let ((_let_50 (tptp.c3_1 tptp.a5))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (tptp.c2_1 tptp.a5))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_49))) (let ((_let_56 (tptp.c1_1 tptp.a5))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_49))) (let ((_let_59 (not tptp.hskp4))) (let ((_let_60 (tptp.c2_1 tptp.a6))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (not tptp.hskp5))) (let ((_let_64 (tptp.c0_1 tptp.a7))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (not tptp.hskp6))) (let ((_let_68 (tptp.c2_1 tptp.a8))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (not tptp.hskp7))) (let ((_let_72 (tptp.c2_1 tptp.a14))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (not tptp.hskp8))) (let ((_let_76 (tptp.c2_1 tptp.a15))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (tptp.c1_1 tptp.a15))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_75))) (let ((_let_82 (not tptp.hskp9))) (let ((_let_83 (tptp.c3_1 tptp.a16))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (tptp.c2_1 tptp.a16))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_82))) (let ((_let_89 (not tptp.hskp10))) (let ((_let_90 (tptp.c3_1 tptp.a18))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (not tptp.hskp11))) (let ((_let_94 (tptp.c3_1 tptp.a19))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93))) (let ((_let_97 (tptp.c1_1 tptp.a19))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_93))) (let ((_let_100 (not tptp.hskp12))) (let ((_let_101 (not tptp.hskp13))) (let ((_let_102 (tptp.c3_1 tptp.a22))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (tptp.c0_1 tptp.a22))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_101))) (let ((_let_108 (not tptp.hskp14))) (let ((_let_109 (tptp.c1_1 tptp.a24))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108))) (let ((_let_112 (tptp.c0_1 tptp.a24))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_108))) (let ((_let_115 (not tptp.hskp15))) (let ((_let_116 (tptp.c3_1 tptp.a25))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115))) (let ((_let_119 (not tptp.hskp16))) (let ((_let_120 (tptp.c2_1 tptp.a30))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_119))) (let ((_let_123 (tptp.c0_1 tptp.a30))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_119))) (let ((_let_126 (not tptp.hskp17))) (let ((_let_127 (tptp.c1_1 tptp.a31))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126))) (let ((_let_130 (not tptp.hskp18))) (let ((_let_131 (tptp.c3_1 tptp.a32))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (tptp.c1_1 tptp.a32))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_130))) (let ((_let_137 (tptp.c0_1 tptp.a32))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_130))) (let ((_let_140 (not tptp.hskp19))) (let ((_let_141 (tptp.c0_1 tptp.a33))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_142 _let_140))) (let ((_let_144 (not tptp.hskp20))) (let ((_let_145 (tptp.c3_1 tptp.a37))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_144))) (let ((_let_148 (tptp.c0_1 tptp.a37))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_144))) (let ((_let_151 (not tptp.hskp21))) (let ((_let_152 (tptp.c1_1 tptp.a42))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_153 _let_151))) (let ((_let_155 (not tptp.hskp22))) (let ((_let_156 (not tptp.hskp23))) (let ((_let_157 (tptp.c1_1 tptp.a53))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_158 _let_156))) (let ((_let_160 (tptp.c0_1 tptp.a53))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_156))) (let ((_let_163 (tptp.c3_1 tptp.a1))) (let ((_let_164 (or _let_28 _let_163))) (let ((_let_165 (tptp.c2_1 tptp.a2))) (let ((_let_166 (or _let_35 _let_165))) (let ((_let_167 (tptp.c1_1 tptp.a4))) (let ((_let_168 (or _let_42 _let_167))) (let ((_let_169 (tptp.c3_1 tptp.a6))) (let ((_let_170 (or _let_59 _let_169))) (let ((_let_171 (tptp.c1_1 tptp.a6))) (let ((_let_172 (or _let_59 _let_171))) (let ((_let_173 (tptp.c3_1 tptp.a7))) (let ((_let_174 (or _let_63 _let_173))) (let ((_let_175 (tptp.c1_1 tptp.a7))) (let ((_let_176 (or _let_63 _let_175))) (let ((_let_177 (tptp.c1_1 tptp.a8))) (let ((_let_178 (or _let_67 _let_177))) (let ((_let_179 (tptp.c0_1 tptp.a8))) (let ((_let_180 (or _let_67 _let_179))) (let ((_let_181 (tptp.c3_1 tptp.a14))) (let ((_let_182 (or _let_71 _let_181))) (let ((_let_183 (tptp.c0_1 tptp.a14))) (let ((_let_184 (or _let_71 _let_183))) (let ((_let_185 (tptp.c0_1 tptp.a15))) (let ((_let_186 (or _let_75 _let_185))) (let ((_let_187 (tptp.c0_1 tptp.a16))) (let ((_let_188 (or _let_82 _let_187))) (let ((_let_189 (tptp.c2_1 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_let_213))) (let ((_let_215 (tptp.c2_1 tptp.a42))) (let ((_let_216 (or _let_151 _let_215))) (let ((_let_217 (tptp.c3_1 tptp.a53))) (let ((_let_218 (or _let_156 _let_217))) (let ((_let_219 (tptp.c3_1 tptp.a3))) (let ((_let_220 (not tptp.hskp24))) (let ((_let_221 (or _let_220 _let_219))) (let ((_let_222 (tptp.c2_1 tptp.a3))) (let ((_let_223 (or _let_220 _let_222))) (let ((_let_224 (tptp.c1_1 tptp.a3))) (let ((_let_225 (or _let_220 _let_224))) (let ((_let_226 (tptp.c2_1 tptp.a9))) (let ((_let_227 (not tptp.hskp25))) (let ((_let_228 (or _let_227 _let_226))) (let ((_let_229 (tptp.c1_1 tptp.a9))) (let ((_let_230 (or _let_227 _let_229))) (let ((_let_231 (tptp.c0_1 tptp.a9))) (let ((_let_232 (or _let_227 _let_231))) (let ((_let_233 (tptp.c3_1 tptp.a10))) (let ((_let_234 (not tptp.hskp26))) (let ((_let_235 (or _let_234 _let_233))) (let ((_let_236 (tptp.c2_1 tptp.a10))) (let ((_let_237 (or _let_234 _let_236))) (let ((_let_238 (tptp.c0_1 tptp.a10))) (let ((_let_239 (or _let_234 _let_238))) (let 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(ALPHA_EQUIV :args (_let_359 (= V U)))))) (let ((_let_840 (_let_359))) (let ((_let_841 ((not (= (tptp.c3_1 V) false))))) (let ((_let_842 (ASSUME :args _let_840))) (let ((_let_843 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_842 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_841)) :args _let_840)))) (let ((_let_844 (_let_833))) (let ((_let_845 (not _let_832))) (let ((_let_846 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_832)) :args ((or _let_32 _let_29 _let_831 _let_845))) (REORDERING (ASSUME :args (_let_31)) :args ((or _let_28 _let_30))) (REORDERING (ASSUME :args (_let_34)) :args ((or _let_28 _let_33))) (ASSUME :args (_let_164)) :args ((or _let_28 _let_845) true _let_29 true _let_32 false _let_163)))) (let ((_let_847 (not _let_412))) (let ((_let_848 (not _let_407))) (let ((_let_849 (not _let_414))) (let ((_let_850 (not _let_299))) (let ((_let_851 (_let_850))) (let ((_let_852 (MACRO_RESOLUTION_TRUST _let_822 _let_821 _let_797 _let_818 _let_817 _let_806 _let_360 _let_816 _let_360 _let_808 _let_711 _let_706 _let_807 _let_805 _let_803 _let_796 _let_794 _let_793 _let_790 _let_787 _let_785 _let_779 _let_778 _let_757 _let_742 _let_741 _let_740 _let_360 :args ((or tptp.hskp9 tptp.hskp8 _let_777 _let_776) true _let_451 false _let_449 false _let_222 false _let_224 false _let_448 false tptp.ndr1_0 false tptp.hskp24 false tptp.ndr1_0 true _let_447 true _let_270 true _let_274 false tptp.hskp4 true tptp.hskp17 true tptp.hskp19 false _let_328 false _let_774 false _let_327 false _let_289 false _let_313 false _let_771 false _let_312 false _let_770 false _let_749 false _let_391 false _let_349 false _let_387 false tptp.ndr1_0)))) (let ((_let_853 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (tptp.a33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)))) (let ((_let_854 (not _let_435))) (let ((_let_855 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_435)) :args ((or _let_141 _let_433 _let_434 _let_854))) _let_825 _let_801 _let_800 _let_799 :args ((or _let_140 _let_823 _let_854) false _let_409 true _let_141 false _let_207 false _let_209)))) (let ((_let_856 (MACRO_RESOLUTION_TRUST _let_822 _let_821 _let_797 _let_818 _let_817 _let_806 _let_360 _let_816 _let_360 _let_808 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_698 _let_674 _let_611 _let_617 _let_594 _let_589 _let_855 _let_581 _let_853 _let_568 _let_688 _let_563 _let_562 _let_561 _let_360 _let_560 _let_360 _let_559 _let_852 _let_553 _let_758 _let_551 _let_632 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_851)) :args _let_851)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_850) _let_299))) (REFL :args ((not _let_417))) :args _let_586)) _let_635 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_407)) :args ((or _let_404 _let_402 _let_406 _let_848))) (REORDERING (CNF_OR_POS :args (_let_414)) :args ((or _let_404 _let_413 _let_405 _let_849))) (CNF_OR_NEG :args (_let_417 2)) (CNF_OR_NEG :args (_let_417 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_417 0)) (CONG (REFL :args (_let_417)) (MACRO_SR_PRED_INTRO :args ((= (not _let_404) _let_403))) :args _let_586)) :args ((or _let_403 _let_417))) :args ((or _let_417 _let_849 _let_848) false _let_405 true _let_402 true _let_413 false _let_403)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_412)) :args ((or _let_394 _let_392 _let_395 _let_847))) _let_640 _let_637 _let_636 :args ((or _let_416 _let_639 _let_847) true _let_395 true _let_392 false _let_393)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_505 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_503)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_505 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_503)) _let_826 _let_508 _let_360 (MACRO_RESOLUTION_TRUST _let_797 _let_806 _let_360 _let_822 _let_803 _let_821 _let_794 _let_818 _let_817 _let_790 _let_816 _let_360 _let_808 _let_785 _let_711 _let_778 _let_706 _let_560 _let_360 _let_807 _let_553 _let_805 _let_551 _let_796 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_418 (= U U)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 _let_507 _let_327 _let_348))) _let_360 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) _let_360 _let_846 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_844) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) true))))) :args _let_844)) _let_843 (REORDERING (CNF_OR_POS :args (_let_830)) :args ((or _let_368 _let_367 _let_369 (not _let_830)))) _let_839 _let_580 _let_838 _let_360 _let_579 _let_578 _let_837 _let_589 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_271 (= V W)))) _let_562 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_836 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_835)) :args _let_834)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)) _let_567 (REORDERING (CNF_OR_POS :args (_let_829)) :args ((or _let_56 _let_53 _let_384 (not _let_829)))) (REORDERING (CNF_OR_POS :args (_let_828)) :args ((or _let_53 _let_50 _let_384 (not _let_828)))) _let_575 _let_700 _let_511 _let_510 _let_509 _let_757 _let_742 _let_741 _let_740 _let_360 :args ((or tptp.hskp9 tptp.hskp8 _let_49 _let_498 _let_699) false _let_448 false tptp.ndr1_0 true _let_449 true tptp.hskp19 true _let_451 false _let_774 false _let_222 false _let_224 false _let_289 false tptp.hskp24 false tptp.ndr1_0 true _let_447 false _let_771 true _let_270 false _let_770 true _let_274 false _let_333 false tptp.ndr1_0 false tptp.hskp4 true tptp.hskp1 true tptp.hskp17 false _let_425 false _let_328 false _let_418 false _let_327 false tptp.ndr1_0 false (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))) false tptp.ndr1_0 true tptp.hskp0 true _let_833 false _let_832 true _let_830 false _let_359 true _let_369 false _let_356 false tptp.ndr1_0 true _let_367 true _let_368 true _let_351 true _let_436 true (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) true _let_427 true _let_348 true _let_271 true _let_342 true _let_829 true _let_828 true _let_488 true _let_384 true _let_50 true _let_53 true _let_56 false _let_749 false _let_391 false _let_349 false _let_387 false tptp.ndr1_0)) _let_545 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_538)) _let_541 _let_537 _let_360 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_754)) :args ((or _let_56 _let_50 _let_385 _let_827))) _let_575 :args ((or _let_56 _let_50 _let_827 _let_573) false _let_384)) _let_511 _let_509 _let_508 _let_360 _let_826 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_743)) :args ((or _let_141 _let_410 _let_434 _let_824))) _let_825 :args ((or _let_141 _let_410 _let_824 _let_823) false _let_409)) _let_801 _let_799 _let_806 _let_360 _let_797 _let_822 _let_821 _let_818 _let_817 _let_816 _let_360 _let_808 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_698 _let_674 _let_611 _let_617 _let_594 _let_589 _let_581 _let_568 _let_567 _let_688 _let_562 _let_560 _let_360 (MACRO_RESOLUTION_TRUST _let_711 _let_706 _let_808 _let_807 _let_806 _let_360 _let_805 _let_803 _let_797 _let_796 _let_794 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_628 :args (tptp.a10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_626)) _let_793 _let_790 (REORDERING (CNF_OR_POS :args (_let_773)) :args ((or _let_294 _let_293 _let_772 (not _let_773)))) _let_787 _let_785 (REORDERING (CNF_OR_POS :args (_let_767)) :args ((or _let_293 _let_292 _let_766 (not _let_767)))) _let_779 _let_778 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_557 :args (tptp.a10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_556)) :args _let_555)) :args ((or tptp.hskp8 _let_294 _let_293 _let_292 _let_777 _let_776 _let_775) true _let_274 false _let_270 false tptp.hskp4 false _let_447 false tptp.ndr1_0 true tptp.hskp17 true tptp.hskp19 true _let_448 false _let_328 false _let_774 true _let_449 false _let_327 false _let_289 true _let_773 false _let_313 false _let_771 false _let_766 false _let_312 false _let_770 false _let_767)) _let_553 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_764)) :args _let_763)) _let_551 _let_632 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_762)) :args _let_762)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_761) _let_284))) (REFL :args ((not _let_753))) :args _let_586)) _let_635 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_752)) :args ((or _let_379 _let_750 _let_751 _let_760))) (REORDERING (CNF_OR_POS :args (_let_382)) :args ((or _let_381 _let_379 _let_378 _let_755))) (CNF_OR_NEG :args (_let_753 2)) (CNF_OR_NEG :args (_let_753 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_753 0)) (CONG (REFL :args (_let_753)) (MACRO_SR_PRED_INTRO :args ((= (not _let_381) _let_380))) :args _let_586)) :args ((or _let_380 _let_753))) :args ((or _let_753 _let_760 _let_755) false _let_378 true _let_750 true _let_379 false _let_380)) _let_686 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_645 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_759)) :args _let_643)) _let_646 _let_758 _let_363 _let_361 _let_360 _let_661 _let_660 _let_659 _let_658 _let_657 _let_529 _let_757 _let_742 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_528 :args (tptp.a33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_527)) :args _let_526)) _let_741 _let_740 _let_360 :args ((or _let_234 tptp.hskp9 tptp.hskp8 tptp.hskp2 _let_498 _let_756 _let_755) true _let_50 true _let_56 false tptp.hskp3 false tptp.ndr1_0 true _let_408 true _let_411 true _let_141 false _let_209 false tptp.hskp19 false tptp.ndr1_0 true _let_448 true _let_449 true _let_451 false _let_222 false _let_224 false tptp.hskp24 false tptp.ndr1_0 true _let_447 true _let_270 true _let_446 false _let_375 true _let_72 false _let_181 false _let_183 false tptp.hskp7 true tptp.hskp13 false _let_443 false _let_441 false _let_440 false _let_437 false _let_271 false _let_436 false _let_432 false _let_488 false _let_430 false _let_342 false _let_427 false tptp.ndr1_0 true _let_333 true tptp.hskp1 false _let_754 false _let_425 false _let_423 false _let_284 false _let_418 false _let_753 false _let_416 false _let_752 false _let_465 false _let_306 false _let_299 false _let_297 false tptp.ndr1_0 true _let_296 true _let_295 false _let_233 false _let_236 false _let_238 false _let_397 false _let_749 false _let_391 false _let_743 false _let_349 false _let_387 false tptp.ndr1_0)) _let_536 _let_531 _let_529 _let_742 _let_741 _let_740 _let_360 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_383)) :args ((or _let_79 _let_76 _let_325 _let_736))) _let_739 _let_738 _let_737 :args ((or _let_75 _let_736) true _let_76 true _let_79 false _let_185)) _let_704 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_703 :args (tptp.a15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_702)) :args _let_701)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_703 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_702)) :args _let_701)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_703 :args (tptp.a14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_702)) :args _let_701)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_703 :args (tptp.a16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_702)) :args _let_701)) _let_728 _let_360 (REORDERING (CNF_OR_POS :args (_let_735)) :args ((or _let_86 _let_322 _let_732 (not _let_735)))) _let_458 (REORDERING (CNF_OR_POS :args (_let_734)) :args ((or _let_86 _let_83 _let_733 (not _let_734)))) _let_456 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_455 :args (tptp.a16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_454)) :args _let_453)) :args ((or tptp.hskp14 _let_86 _let_83 _let_322 _let_452) false _let_374 false tptp.ndr1_0 true _let_735 true tptp.hskp2 true _let_732 false _let_366 false _let_734)) _let_731 _let_730 _let_729 :args ((or tptp.hskp14 _let_82 _let_452) true _let_83 true _let_86 false _let_187)) _let_728 _let_360 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_492)) :args ((or _let_127 _let_254 _let_256 (not _let_492)))) _let_727 _let_726 _let_259 _let_258 _let_725 _let_360 _let_724 _let_720 _let_719 _let_718 _let_717 _let_716 _let_714 _let_711 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_707) :args (tptp.a31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_707)) _let_706 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 _let_507 _let_491 _let_490))) _let_360 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp4 _let_507 _let_489 _let_470))) _let_360 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_374 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_374 (= U U)))) _let_704 _let_700 _let_575 _let_698 _let_693 _let_567 _let_688 _let_687 _let_562 _let_560 _let_360 _let_553 _let_551 _let_635 _let_686 _let_529 _let_685 (MACRO_RESOLUTION_TRUST _let_683 (REORDERING (CNF_OR_POS :args (_let_476)) :args ((or _let_475 _let_473 _let_472 _let_679))) _let_682 _let_681 :args ((or _let_487 _let_679 _let_678) false _let_472 true _let_473 false _let_474)) _let_677 _let_676 _let_563 _let_561 _let_360 _let_545 _let_675 _let_541 _let_674 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_606)) :args _let_605)) _let_291 _let_653 _let_360 _let_673 _let_360 _let_652 _let_559 _let_672 _let_558 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_668) :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 V) true))))) :args _let_668)) _let_554 (REORDERING (CNF_OR_POS :args (_let_468)) :args ((or _let_112 _let_459 _let_466 (not _let_468)))) (REORDERING (CNF_OR_POS :args (_let_467)) :args ((or _let_112 _let_109 _let_466 (not _let_467)))) _let_667 (REORDERING (CNF_OR_POS :args (_let_463)) :args ((or _let_109 _let_459 _let_462 (not _let_463)))) _let_646 _let_662 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_645 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_644)) :args _let_643)) _let_363 _let_361 _let_360 _let_661 _let_660 (MACRO_RESOLUTION_TRUST _let_655 _let_535 _let_534 _let_533 _let_537 _let_360 _let_541 _let_545 _let_561 _let_360 _let_563 _let_654 _let_572 _let_653 _let_360 _let_633 _let_652 _let_559 _let_594 _let_590 _let_360 _let_558 _let_589 _let_585 _let_554 _let_581 _let_576 (REORDERING (CNF_OR_POS :args (_let_512)) :args ((or _let_112 _let_109 _let_462 (not _let_512)))) _let_568 _let_567 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_565)) :args _let_564)) _let_651 _let_360 _let_650 (MACRO_RESOLUTION_TRUST _let_361 _let_360 _let_363 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (tptp.a9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) _let_646 (REORDERING (CNF_OR_POS :args (_let_524)) :args ((or _let_521 _let_520 _let_523 (not _let_524)))) _let_642 (REORDERING (CNF_OR_POS :args (_let_522)) :args ((or _let_521 _let_520 _let_519 (not _let_522)))) _let_640 _let_623 _let_621 _let_638 _let_637 _let_636 _let_620 _let_360 _let_635 (MACRO_RESOLUTION_TRUST _let_633 _let_594 _let_590 _let_360 _let_589 _let_585 _let_581 _let_576 _let_572 _let_568 _let_567 _let_563 _let_562 _let_561 _let_360 _let_560 _let_360 _let_559 _let_558 _let_554 _let_553 (REORDERING (CNF_OR_POS :args (_let_546)) :args ((or _let_112 _let_459 _let_462 (not _let_546)))) _let_551 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)) :args ((or tptp.hskp26 tptp.hskp10 _let_49 _let_112 _let_109 _let_459 _let_547 _let_498) false _let_437 false tptp.hskp16 false tptp.ndr1_0 false _let_271 true _let_310 false _let_436 true _let_513 false _let_517 false _let_432 false _let_488 false _let_281 false _let_342 false _let_428 false tptp.ndr1_0 false _let_427 false tptp.ndr1_0 true _let_426 true _let_333 true _let_469 true tptp.hskp1 false _let_462 false _let_425 false _let_546)) _let_545 _let_541 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (tptp.a9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_538)) _let_537 _let_360 _let_536 _let_531 _let_529 :args ((or tptp.hskp26 _let_49 _let_112 _let_109 _let_459 _let_525 _let_498 _let_497) false tptp.ndr1_0 true _let_297 true _let_296 true _let_299 true _let_524 true _let_465 false _let_519 true _let_395 false _let_226 false _let_231 true _let_415 true _let_392 false _let_393 false tptp.hskp25 false tptp.ndr1_0 true _let_416 true _let_418 true tptp.hskp10 false _let_401 false _let_522 false _let_260 false tptp.ndr1_0 true tptp.hskp20 false _let_398 false _let_397)) :args ((or tptp.hskp26 _let_49 _let_112 _let_109 _let_461 _let_459 _let_498 _let_497) true _let_145 true _let_148 false _let_211 false tptp.hskp20 false tptp.ndr1_0 true _let_260 true _let_401 false tptp.hskp10 false tptp.ndr1_0 true _let_428 false _let_518 true _let_281 false _let_441 false tptp.ndr1_0 true _let_517 true _let_471 true _let_426 false _let_437 false tptp.hskp16 false tptp.ndr1_0 true _let_333 false _let_271 true _let_310 true _let_469 false _let_436 true _let_513 false _let_462 false _let_432 false _let_488 false _let_512 false _let_342 false tptp.ndr1_0 true _let_344 true _let_349)) _let_511 _let_510 _let_509 _let_508 _let_360 _let_506 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_505 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_503)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_460)) :args ((or _let_112 _let_109 _let_459 _let_502))) _let_501 _let_500 _let_499 :args ((or _let_108 _let_502) true _let_109 true _let_112 false _let_195)) _let_501 _let_500 _let_499 :args ((or _let_108 tptp.hskp2 _let_498 _let_497) false _let_252 true _let_127 false _let_203 false _let_205 false tptp.hskp17 false tptp.ndr1_0 true _let_338 true _let_496 false _let_479 true _let_493 false _let_480 false _let_482 true _let_494 true _let_270 false _let_492 true _let_274 false _let_491 false tptp.ndr1_0 false tptp.hskp4 false tptp.ndr1_0 true _let_490 true _let_489 true _let_374 true _let_386 false _let_384 true tptp.hskp13 true tptp.hskp18 false _let_488 false _let_430 false _let_341 false _let_342 false _let_427 false tptp.ndr1_0 true tptp.hskp1 false _let_425 false _let_418 false _let_416 false _let_397 false _let_349 false _let_487 false _let_484 false _let_478 false _let_281 false _let_428 false tptp.ndr1_0 true tptp.hskp10 false _let_255 false _let_401 false _let_443 false _let_476 false _let_260 false _let_441 false tptp.ndr1_0 false _let_261 false tptp.ndr1_0 true _let_471 true _let_426 true _let_290 true _let_333 true _let_289 true _let_470 true _let_469 true _let_468 true _let_467 true tptp.hskp11 false _let_462 false _let_465 false _let_464 false _let_463 false _let_299 false _let_297 false tptp.ndr1_0 true _let_296 true _let_295 false tptp.hskp26 true _let_50 true _let_53 true _let_56 false tptp.hskp3 false tptp.ndr1_0 true _let_461 true _let_408 true _let_460 true _let_109 true _let_112 false _let_195)) _let_458 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_455 :args (tptp.a37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_454)) :args _let_453)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_455 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_454)) :args _let_453)) _let_456 :args (_let_452 true _let_451 false _let_449 false _let_222 false _let_224 false _let_448 false tptp.ndr1_0 false tptp.hskp24 false tptp.ndr1_0 true _let_447 true _let_270 true _let_446 false _let_375 true _let_72 false _let_181 false _let_183 false tptp.hskp7 true tptp.hskp13 false _let_443 false _let_441 false _let_440 false _let_437 false _let_271 true tptp.hskp19 false _let_436 false _let_435 false _let_432 false _let_430 false _let_281 false _let_342 false _let_428 false tptp.ndr1_0 false _let_427 false tptp.ndr1_0 true _let_426 true _let_333 true tptp.hskp1 false _let_306 false _let_425 false _let_423 false _let_299 false _let_418 false _let_417 false _let_416 false _let_414 false _let_412 false _let_411 false _let_408 false tptp.ndr1_0 true tptp.hskp3 true tptp.hskp10 false _let_407 false _let_401 false _let_260 false tptp.ndr1_0 true tptp.hskp26 true tptp.hskp20 false _let_398 false _let_397 false _let_391 false _let_349 false _let_387 false tptp.ndr1_0 true tptp.hskp8 false _let_386 false _let_383 false _let_382 false _let_377 true tptp.hskp9 false _let_374 false tptp.ndr1_0 true tptp.hskp14 true tptp.hskp2 false _let_373 false _let_371 false _let_366)))) (let ((_let_857 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_364 (= U V)))) _let_856 :args ((not _let_300) true _let_364)))) (let ((_let_858 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_859 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_310 (= U W)))))) (let ((_let_860 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_861 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_862 (not _let_861))) (let ((_let_863 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_864 (not _let_863))) (let ((_let_865 (or _let_864 _let_862 _let_860))) (let ((_let_866 (tptp.c3_1 tptp.a8))) (let ((_let_867 (not _let_866))) (let ((_let_868 (not _let_177))) (let ((_let_869 (or _let_868 _let_867 _let_68))) (let ((_let_870 (tptp.c1_1 tptp.a18))) (let ((_let_871 (or _let_399 _let_870 _let_90))) (let ((_let_872 (not _let_870))) (let ((_let_873 (or _let_872 _let_399 _let_90))) (let ((_let_874 (or _let_354 _let_357 _let_64))) (let ((_let_875 (_let_777))) (let ((_let_876 (or _let_331 _let_319 _let_317))) (let ((_let_877 (not _let_219))) (let ((_let_878 (or _let_390 _let_389 _let_877))) (let ((_let_879 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_880 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_881 (not _let_880))) (let ((_let_882 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_883 (not _let_882))) (let ((_let_884 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_885 (not _let_884))) (let ((_let_886 (or _let_885 _let_883 _let_881))) (let ((_let_887 (or _let_746 _let_744 _let_747))) (let ((_let_888 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_889 (not _let_888))) (let ((_let_890 (or _let_889 _let_885 _let_883))) (let ((_let_891 (or _let_883 _let_881 _let_888))) (let ((_let_892 (or _let_748 _let_769 _let_744))) (let ((_let_893 (or _let_486 _let_473 _let_472))) (let ((_let_894 (ALPHA_EQUIV :args (_let_270 (= U U))))) (let ((_let_895 (EQUIV_ELIM2 _let_894))) (let ((_let_896 (MACRO_RESOLUTION_TRUST _let_612 _let_856 :args ((not _let_597) true _let_364)))) (let ((_let_897 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)))) (let ((_let_898 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_631)) :args _let_548)))) (let ((_let_899 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)))) (let ((_let_900 (not _let_267))) (let ((_let_901 (not _let_264))) (let ((_let_902 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_903 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_904 (not _let_903))) (let ((_let_905 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_906 (not _let_905))) (let ((_let_907 (or _let_906 _let_904 _let_902))) (let ((_let_908 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_909 (or _let_906 _let_908 _let_902))) (let ((_let_910 (not _let_908))) (let ((_let_911 (or _let_906 _let_910 _let_904))) (let ((_let_912 (not _let_260))) (let ((_let_913 (_let_912))) (let ((_let_914 (REFL :args (_let_907)))) (let ((_let_915 (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_148 _let_145 _let_266 _let_900))))) (let ((_let_916 (not _let_269))) (let ((_let_917 (REORDERING (CNF_OR_POS :args (_let_269)) :args ((or _let_148 _let_145 _let_265 _let_916))))) (let ((_let_918 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (tptp.a37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)))) (let ((_let_919 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (tptp.a19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_764)) :args _let_763)))) (let ((_let_920 (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_94 _let_263 _let_262 _let_901))))) (let ((_let_921 (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_97 _let_94 _let_287 (not _let_288)))))) (let ((_let_922 (MACRO_RESOLUTION_TRUST _let_808 (MACRO_RESOLUTION_TRUST _let_921 _let_920 _let_666 _let_665 _let_664 _let_673 _let_360 _let_672 _let_794 _let_802 _let_801 _let_800 _let_799 _let_806 _let_360 _let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_628 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_626)) (REORDERING (CNF_OR_POS :args (_let_911)) :args ((or _let_906 _let_904 _let_910 (not _let_911)))) (REORDERING (CNF_OR_POS :args (_let_909)) :args ((or _let_906 _let_902 _let_908 (not _let_909)))) _let_919 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_763)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U V)))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_360 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_271 (= V W)))) _let_918 _let_917 _let_915 _let_535 _let_534 (CNF_OR_NEG :args (_let_907 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_907 1)) (CONG _let_914 (MACRO_SR_PRED_INTRO :args ((= (not _let_904) _let_903))) :args _let_586)) :args ((or _let_903 _let_907))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_907 0)) (CONG _let_914 (MACRO_SR_PRED_INTRO :args ((= (not _let_906) _let_905))) :args _let_586)) :args ((or _let_905 _let_907))) _let_537 _let_360 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_913)) :args _let_913)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_912) _let_260))) (REFL :args ((not _let_907))) :args _let_586)) _let_291 :args ((or tptp.hskp26 _let_260 _let_447 _let_268 _let_901 _let_900) false _let_262 true _let_94 true _let_97 false _let_193 false tptp.hskp11 false tptp.ndr1_0 true _let_290 true _let_289 true _let_774 true _let_141 false _let_207 false _let_209 false tptp.hskp19 false tptp.ndr1_0 true _let_448 true _let_449 true _let_911 false _let_908 false _let_288 false _let_909 false _let_284 false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))) false tptp.ndr1_0 true (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) true _let_271 true _let_269 true _let_265 true _let_145 true _let_148 true _let_902 false _let_903 false _let_905 false tptp.hskp20 false tptp.ndr1_0 true _let_907 true _let_261)) (REORDERING (EQUIV_ELIM1 _let_894) :args ((or _let_268 _let_712))) :args ((or tptp.hskp26 _let_260 _let_268 _let_901 _let_900) false _let_447 true _let_270)))) (let ((_let_923 (not _let_893))) (let ((_let_924 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_893)) :args ((or _let_486 _let_473 _let_472 _let_923))) _let_683 _let_682 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_487 1)) (CONG _let_680 (MACRO_SR_PRED_INTRO :args ((= (not _let_486) _let_485))) :args _let_586)) :args ((or _let_485 _let_487))) _let_681 :args ((or _let_487 _let_923 _let_678) true _let_472 true _let_473 false _let_485 false _let_474)))) (let ((_let_925 (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_254 _let_253 _let_256 (not _let_257)))))) (let ((_let_926 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (tptp.a31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)))) (let ((_let_927 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_583)) :args _let_582)))) (let ((_let_928 ((not (= (tptp.c0_1 U) false))))) (let ((_let_929 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_928)) :args _let_582)))) (let ((_let_930 (or _let_331 _let_318 _let_317))) (let ((_let_931 (not _let_930))) (let ((_let_932 (_let_452))) (let ((_let_933 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_932)) :args _let_932)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_452) _let_364))) (REFL :args (_let_931)) :args _let_586)) _let_856 :args (_let_931 true _let_364)))) (let ((_let_934 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_930 2)) _let_933 :args ((not _let_317) true _let_930)))) (let ((_let_935 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_930 1)) _let_933 :args ((not _let_318) true _let_930)))) (let ((_let_936 (REORDERING (CNF_OR_POS :args (_let_321)) :args ((or _let_318 _let_317 _let_320 (not _let_321)))))) (let ((_let_937 (not _let_323))) (let ((_let_938 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_323)) :args ((or _let_86 _let_83 _let_322 _let_937))) _let_731 _let_730 _let_729 :args ((or _let_82 _let_937) true _let_83 true _let_86 false _let_187)))) (let ((_let_939 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_930 0)) (CONG (REFL :args (_let_930)) (MACRO_SR_PRED_INTRO :args ((= (not _let_331) _let_330))) :args _let_586)) :args ((or _let_330 _let_930))) _let_933 :args (_let_330 true _let_930)))) (let ((_let_940 (REORDERING (CNF_OR_POS :args (_let_876)) :args ((or _let_331 _let_317 _let_319 (not _let_876)))))) (let ((_let_941 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_606)) :args _let_605)))) (let ((_let_942 (not _let_878))) (let ((_let_943 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_878)) :args ((or _let_390 _let_389 _let_877 _let_942))) (ASSUME :args (_let_221)) _let_818 _let_817 :args ((or _let_220 _let_942) false _let_219 false _let_222 false _let_224)))) (let ((_let_944 (_let_879))) (let ((_let_945 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_944) :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_944)))) (let ((_let_946 (not _let_879))) (let ((_let_947 (_let_946))) (let ((_let_948 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_947)) :args _let_947)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_946) _let_879))) (REFL :args ((not _let_886))) :args _let_586)))) (let ((_let_949 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_505 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_503)))) (let ((_let_950 (REFL :args (_let_886)))) (let ((_let_951 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_886 0)) (CONG _let_950 (MACRO_SR_PRED_INTRO :args ((= (not _let_885) _let_884))) :args _let_586)) :args ((or _let_884 _let_886))))) (let ((_let_952 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_886 1)) (CONG _let_950 (MACRO_SR_PRED_INTRO :args ((= (not _let_883) _let_882))) :args _let_586)) :args ((or _let_882 _let_886))))) (let ((_let_953 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_886 2)) (CONG _let_950 (MACRO_SR_PRED_INTRO :args ((= (not _let_881) _let_880))) :args _let_586)) :args ((or _let_880 _let_886))))) (let ((_let_954 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_628 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_626)))) (let ((_let_955 (not _let_890))) (let ((_let_956 (REORDERING (CNF_OR_POS :args (_let_890)) :args ((or _let_885 _let_883 _let_889 _let_955))))) (let ((_let_957 (not _let_891))) (let ((_let_958 (REORDERING (CNF_OR_POS :args (_let_891)) :args ((or _let_883 _let_881 _let_888 _let_957))))) (let ((_let_959 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)))) (let ((_let_960 (not _let_887))) (let ((_let_961 (REORDERING (CNF_OR_POS :args (_let_887)) :args ((or _let_746 _let_744 _let_747 _let_960))))) (let ((_let_962 (not _let_892))) (let ((_let_963 (REORDERING (CNF_OR_POS :args (_let_892)) :args ((or _let_769 _let_744 _let_748 _let_962))))) (let ((_let_964 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)))) (let ((_let_965 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_710 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_709)) :args _let_708)))) (let ((_let_966 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_967 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_968 (not _let_967))) (let ((_let_969 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_970 (not _let_969))) (let ((_let_971 (or _let_970 _let_968 _let_966))) (let ((_let_972 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_973 (not _let_972))) (let ((_let_974 (or _let_973 _let_864 _let_862))) (let ((_let_975 (or _let_864 _let_972 _let_860))) (let ((_let_976 (not _let_869))) (let ((_let_977 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)))) (let ((_let_978 (not _let_179))) (let ((_let_979 (or _let_978 _let_68 _let_866))) (let ((_let_980 (tptp.c2_1 tptp.a53))) (let ((_let_981 (not _let_980))) (let ((_let_982 (or _let_981 _let_160 _let_157))) (let ((_let_983 (not _let_971))) (let ((_let_984 (REORDERING (CNF_OR_POS :args (_let_329)) :args ((or _let_318 _let_317 _let_319 (not _let_329)))))) (let ((_let_985 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)))) (let ((_let_986 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_505 :args (tptp.a53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_503)))) (let ((_let_987 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_988 (or _let_968 _let_966 _let_987))) (let ((_let_989 (or _let_966 _let_969 _let_987))) (let ((_let_990 (not _let_359))) (let ((_let_991 (_let_990))) (let ((_let_992 (not _let_989))) (let ((_let_993 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_836 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_835)) :args _let_834)) _let_837 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_989)) :args ((or _let_966 _let_987 _let_969 _let_992))) (REORDERING (CNF_OR_POS :args (_let_971)) :args ((or _let_968 _let_966 _let_970 _let_983))) (CNF_OR_NEG :args (_let_988 2)) (CNF_OR_NEG :args (_let_988 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_988 0)) (CONG (REFL :args (_let_988)) (MACRO_SR_PRED_INTRO :args ((= (not _let_968) _let_967))) :args _let_586)) :args ((or _let_967 _let_988))) :args ((or _let_988 _let_992 _let_983) true _let_969 true _let_987 true _let_966 false _let_967)) _let_838 _let_360 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_991)) :args _let_991)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_990) _let_359))) (REFL :args ((not _let_988))) :args _let_586)) _let_839 :args ((or _let_359 _let_271 _let_983) false _let_348 true _let_989 false _let_351 false tptp.ndr1_0 true _let_988 true _let_356)))) (let ((_let_994 (not _let_217))) (let ((_let_995 (or _let_994 _let_160 _let_980))) (let ((_let_996 (not _let_982))) (let ((_let_997 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_982)) :args ((or _let_160 _let_157 _let_981 _let_996))) (REORDERING (CNF_OR_POS :args (_let_995)) :args ((or _let_160 _let_994 _let_980 (not _let_995)))) (REORDERING (ASSUME :args (_let_159)) :args ((or _let_156 _let_158))) (REORDERING (ASSUME :args (_let_162)) :args ((or _let_156 _let_161))) (ASSUME :args (_let_218)) (ASSUME :args (_let_241)) _let_846 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_842 :args (tptp.a53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_841)) :args _let_840)) _let_843 :args ((or tptp.hskp24 _let_990 _let_996) false _let_980 true _let_157 true _let_160 false _let_217 false tptp.hskp23 true tptp.hskp0 false _let_995 false _let_832)))) (let ((_let_998 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_647)))) (let ((_let_999 (not _let_975))) (let ((_let_1000 (not _let_974))) (let ((_let_1001 (REFL :args (_let_865)))) (let ((_let_1002 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_975)) :args ((or _let_864 _let_860 _let_972 _let_999))) (REORDERING (CNF_OR_POS :args (_let_974)) :args ((or _let_864 _let_862 _let_973 _let_1000))) (CNF_OR_NEG :args (_let_865 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_865 1)) (CONG _let_1001 (MACRO_SR_PRED_INTRO :args ((= (not _let_862) _let_861))) :args _let_586)) :args ((or _let_861 _let_865))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_865 0)) (CONG _let_1001 (MACRO_SR_PRED_INTRO :args ((= (not _let_864) _let_863))) :args _let_586)) :args ((or _let_863 _let_865))) :args ((or _let_865 _let_1000 _let_999) true _let_972 true _let_860 false _let_861 false _let_863)))) (let ((_let_1003 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_505 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_503)))) (let ((_let_1004 (or _let_420 _let_438 _let_421))) (let ((_let_1005 (or _let_439 _let_420 _let_421))) (let ((_let_1006 (not _let_280))) (let ((_let_1007 (not _let_1004))) (let ((_let_1008 (not _let_1005))) (let ((_let_1009 (_let_334))) (let ((_let_1010 ((not (= (tptp.c1_1 V) false))))) (let ((_let_1011 (ASSUME :args _let_1009))) (let ((_let_1012 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_645 :args (tptp.a18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_644)) :args _let_643)))) (let ((_let_1013 (REORDERING (CNF_OR_POS :args (_let_871)) :args ((or _let_90 _let_399 _let_870 (not _let_871)))))) (let ((_let_1014 (REORDERING (CNF_OR_POS :args (_let_873)) :args ((or _let_90 _let_399 _let_872 (not _let_873)))))) (let ((_let_1015 (_let_350))) (let ((_let_1016 ((not (= (tptp.c1_1 U) false))))) (let ((_let_1017 (ASSUME :args _let_1015))) (let ((_let_1018 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1017 :args (tptp.a18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1016)) :args _let_1015)))) (let ((_let_1019 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)))) (let ((_let_1020 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_507 _let_350 _let_334))))) (let ((_let_1021 (not _let_286))) (let ((_let_1022 (REFL :args (_let_283)))) (let ((_let_1023 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_277 _let_282 _let_285 _let_1021))) (REORDERING (CNF_OR_POS :args (_let_280)) :args ((or _let_279 _let_277 _let_275 _let_1006))) (CNF_OR_NEG :args (_let_283 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_283 1)) (CONG _let_1022 (MACRO_SR_PRED_INTRO :args ((= (not _let_277) _let_276))) :args _let_586)) :args ((or _let_276 _let_283))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_283 0)) (CONG _let_1022 (MACRO_SR_PRED_INTRO :args ((= (not _let_279) _let_278))) :args _let_586)) :args ((or _let_278 _let_283))) :args ((or _let_283 _let_1021 _let_1006) false _let_275 true _let_282 false _let_276 false _let_278)))) (let ((_let_1024 (ASSUME :args (_let_176)))) (let ((_let_1025 (ASSUME :args (_let_174)))) (let ((_let_1026 (REORDERING (ASSUME :args (_let_66)) :args ((or _let_63 _let_65))))) (let ((_let_1027 (not _let_281))) (let ((_let_1028 (_let_1027))) (let ((_let_1029 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1028)) :args _let_1028)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1027) _let_281))) (REFL :args ((not _let_283))) :args _let_586)))) (let ((_let_1030 (REORDERING (CNF_OR_POS :args (_let_874)) :args ((or _let_64 _let_354 _let_357 (not _let_874)))))) (let ((_let_1031 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (tptp.a7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)))) (let ((_let_1032 (REORDERING (CNF_OR_POS :args (_let_332)) :args ((or _let_331 _let_318 _let_319 (not _let_332)))))) (let ((_let_1033 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1011 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1010)) :args _let_1009)))) (let ((_let_1034 (MACRO_RESOLUTION_TRUST _let_1030 _let_1031 _let_1026 _let_1025 _let_1024 _let_1029 _let_1020 _let_360 _let_1023 _let_1033 _let_1019 _let_1032 _let_939 _let_935 _let_1018 _let_672 _let_936 _let_935 _let_934 _let_1014 _let_673 _let_360 _let_927 _let_1013 _let_667 _let_859 _let_1012 _let_662 _let_858 _let_360 _let_857 _let_363 _let_362 _let_361 _let_360 _let_661 _let_660 (MACRO_RESOLUTION_TRUST _let_1031 _let_1030 _let_1029 _let_1026 _let_1025 _let_1024 _let_1023 _let_1020 _let_360 _let_1019 _let_1018 _let_672 _let_1014 _let_673 _let_360 _let_1013 _let_667 _let_1012 _let_662 _let_363 _let_361 _let_360 _let_998 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1011 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1010)) :args _let_1009)) _let_1002 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1004)) :args ((or _let_438 _let_420 _let_421 _let_1007))) (REORDERING (CNF_OR_POS :args (_let_1005)) :args ((or _let_439 _let_420 _let_421 _let_1008))) :args ((or _let_420 _let_421 _let_1008 _let_1007) true _let_438)) _let_1003 _let_616 (REORDERING (CNF_OR_NEG :args (_let_1004 1)) :args ((or _let_439 _let_1004))) _let_506 _let_615 _let_614 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_440 0)) (CONG (REFL :args (_let_440)) (MACRO_SR_PRED_INTRO :args ((= (not _let_439) _let_438))) :args _let_586)) :args ((or _let_438 _let_440))) _let_653 _let_360 _let_611 _let_654 _let_655 _let_535 _let_534 _let_533 _let_632 _let_537 _let_360 _let_630 _let_896 _let_291 :args ((or tptp.hskp26 _let_90 _let_260 _let_471 _let_399 _let_865 _let_1006) true _let_874 false _let_281 true _let_64 false _let_173 false _let_175 false _let_283 false tptp.hskp5 false tptp.ndr1_0 false _let_286 true _let_350 false _let_289 true _let_873 false _let_290 false tptp.ndr1_0 false _let_870 true tptp.hskp11 false _let_871 false _let_464 false _let_299 false _let_297 false tptp.ndr1_0 true _let_296 true _let_334 true _let_974 true _let_1005 false _let_975 true _let_421 false _let_1004 false _let_408 true _let_419 true _let_420 false _let_438 false _let_461 false tptp.ndr1_0 true _let_440 true _let_441 true _let_518 true _let_145 true _let_148 false _let_211 false _let_423 false tptp.hskp20 false tptp.ndr1_0 false _let_418 true _let_597 true _let_261)) _let_291 _let_541 _let_545 _let_544 _let_543 (MACRO_RESOLUTION_TRUST _let_608 _let_653 _let_360 (MACRO_RESOLUTION_TRUST _let_602 _let_604 :args ((or _let_123 _let_516 _let_603 _let_598) false _let_514)) _let_506 _let_601 _let_600 _let_1003 _let_590 _let_360 _let_1002 _let_660 _let_998 _let_661 _let_362 _let_858 _let_360 _let_857 _let_859 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_869)) :args ((or _let_68 _let_868 _let_867 _let_976))) (REORDERING (CNF_OR_POS :args (_let_979)) :args ((or _let_68 _let_978 _let_866 (not _let_979)))) (REORDERING (ASSUME :args (_let_70)) :args ((or _let_67 _let_69))) (ASSUME :args (_let_178)) (ASSUME :args (_let_180)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 tptp.hskp6 _let_507 _let_449))) _let_360 _let_954 (MACRO_RESOLUTION_TRUST _let_958 _let_956 _let_953 _let_952 _let_951 :args ((or _let_886 _let_955 _let_957) true _let_888 false _let_880 false _let_882 false _let_884)) _let_948 _let_945 _let_943 _let_997 _let_993 _let_959 _let_790 (MACRO_RESOLUTION_TRUST _let_963 _let_961 _let_784 _let_783 _let_782 :args ((or _let_771 _let_960 _let_962) false _let_747 true _let_744 false _let_768 false _let_745)) _let_986 _let_949 _let_506 _let_653 _let_360 _let_985 _let_941 _let_984 _let_934 _let_935 _let_940 _let_934 _let_939 _let_936 _let_935 _let_934 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_928)) :args _let_582)) _let_927 :args ((or tptp.hskp10 _let_471 (not _let_310) _let_962 _let_983 _let_976) false _let_866 true _let_68 false _let_177 false _let_179 false tptp.hskp6 false tptp.ndr1_0 true _let_449 true _let_890 true _let_886 true _let_879 true _let_878 false tptp.hskp24 false _let_359 false _let_891 false _let_289 false _let_771 false _let_982 false _let_887 false _let_408 false _let_461 false tptp.ndr1_0 true _let_271 true _let_441 true _let_329 true _let_317 true _let_318 true _let_876 true _let_317 false _let_330 true _let_319 true _let_318 true _let_317 false _let_979 false _let_321)) _let_977 _let_964 _let_572 _let_563 _let_561 _let_360 :args ((or tptp.hskp10 _let_426 _let_471 _let_865 _let_976) false _let_441 false tptp.ndr1_0 true _let_595 true _let_461 true _let_123 false _let_201 true _let_408 false tptp.hskp16 false tptp.ndr1_0 true _let_975 true tptp.hskp26 false _let_974 false _let_295 false _let_296 false _let_298 false tptp.ndr1_0 true _let_300 true _let_301 true _let_310 false _let_971 false _let_892 false _let_517 false _let_281 false _let_428 false tptp.ndr1_0)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_710 :args (tptp.a8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_709)) :args _let_708)) _let_965 (MACRO_RESOLUTION_TRUST _let_563 _let_561 _let_360 _let_964 _let_545 _let_963 _let_541 _let_961 _let_291 _let_784 _let_783 _let_782 _let_673 _let_360 _let_790 _let_672 _let_959 _let_958 _let_956 _let_954 _let_797 _let_806 _let_360 (MACRO_RESOLUTION_TRUST _let_541 _let_545 _let_291 _let_561 _let_360 _let_673 _let_360 _let_563 _let_672 _let_853 _let_794 _let_855 _let_803 :args ((or _let_140 tptp.hskp11 _let_426 _let_823) true _let_401 false _let_260 false tptp.hskp10 false tptp.ndr1_0 false _let_261 false tptp.ndr1_0 true _let_428 true _let_290 true _let_281 true _let_289 true _let_435 true _let_774)) _let_953 _let_952 _let_951 _let_949 _let_826 _let_948 _let_506 _let_945 _let_653 _let_360 _let_943 _let_941 _let_816 _let_360 _let_940 _let_934 _let_939 _let_938 _let_936 _let_935 _let_934 _let_929 _let_927 _let_667 _let_859 _let_662 _let_858 _let_360 _let_857 _let_363 _let_362 _let_361 _let_360 _let_661 _let_660 (MACRO_RESOLUTION_TRUST _let_806 _let_360 _let_855 _let_797 _let_826 _let_822 _let_506 _let_821 _let_653 _let_360 _let_818 _let_817 _let_941 _let_816 _let_360 _let_940 _let_934 _let_939 _let_938 _let_936 _let_935 _let_934 _let_929 _let_927 _let_859 _let_858 _let_360 _let_857 _let_362 _let_926 _let_925 _let_727 _let_259 _let_258 _let_725 _let_360 _let_724 _let_742 _let_720 _let_685 _let_719 _let_924 _let_677 _let_853 _let_676 _let_693 _let_563 _let_687 _let_561 _let_360 _let_562 _let_545 _let_560 _let_360 _let_675 _let_541 _let_553 _let_922 _let_551 _let_899 _let_898 _let_897 _let_630 _let_896 _let_895 _let_559 _let_716 _let_718 _let_717 _let_714 _let_652 _let_808 :args ((or tptp.hskp26 _let_270 _let_333) false tptp.ndr1_0 true tptp.hskp19 true _let_448 false _let_411 true _let_449 false _let_408 true _let_451 false _let_461 false tptp.ndr1_0 false _let_222 false _let_224 true _let_441 false tptp.hskp24 false tptp.ndr1_0 true _let_876 true _let_317 false _let_330 true tptp.hskp9 true _let_319 true _let_318 true _let_317 false _let_323 false _let_321 false _let_310 false _let_301 false tptp.ndr1_0 true _let_300 true _let_298 true _let_296 true _let_257 false _let_252 false _let_203 false _let_205 false tptp.hskp17 false tptp.ndr1_0 true _let_338 false _let_391 true _let_496 false _let_349 false _let_479 false _let_487 false _let_484 false _let_435 false _let_478 true tptp.hskp18 false _let_281 false _let_341 false _let_428 false tptp.ndr1_0 false _let_342 true tptp.hskp10 false _let_427 false tptp.ndr1_0 false _let_255 false _let_401 true tptp.hskp1 false _let_260 false _let_425 false _let_893 false _let_267 false _let_264 false _let_418 true _let_597 true _let_268 true _let_426 false _let_482 true _let_493 false _let_480 true _let_494 true _let_471 true _let_447)) _let_808 _let_652 _let_559 :args ((or _let_270 _let_333) false _let_428 false tptp.ndr1_0 true _let_281 true tptp.hskp10 true _let_892 false _let_401 false _let_747 false _let_260 true _let_744 false _let_768 false _let_745 false _let_261 false tptp.ndr1_0 true _let_771 true _let_290 true _let_289 true _let_891 true _let_888 false _let_890 false _let_449 false _let_448 false tptp.ndr1_0 true tptp.hskp19 false _let_880 false _let_882 false _let_884 false _let_887 false _let_411 true _let_886 false _let_408 true _let_879 false _let_461 false tptp.ndr1_0 true _let_878 true _let_441 false tptp.hskp24 false tptp.ndr1_0 true _let_876 true _let_317 false _let_330 true tptp.hskp9 true _let_319 true _let_318 true _let_317 false _let_323 false _let_321 true tptp.hskp11 false _let_310 false _let_464 false _let_301 false tptp.ndr1_0 true _let_300 false _let_299 true _let_298 false _let_297 false tptp.ndr1_0 true _let_296 true _let_295 false tptp.hskp26 true _let_447 true _let_471 true _let_426)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_875)) :args _let_875)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_777) _let_333))) (REFL :args ((not _let_865))) :args _let_586)) _let_652 _let_559 :args (_let_333 false _let_874 true _let_64 false _let_173 false _let_175 false _let_281 false tptp.hskp5 false tptp.ndr1_0 false _let_283 true _let_334 false _let_286 true _let_332 false _let_330 true _let_318 true _let_350 false _let_289 true _let_319 true _let_318 true _let_317 true _let_873 false _let_290 false tptp.ndr1_0 false _let_321 false _let_870 true tptp.hskp11 false _let_310 false _let_871 false _let_464 false _let_301 false tptp.ndr1_0 true _let_300 false _let_299 true _let_298 false _let_297 false tptp.ndr1_0 true _let_296 true _let_295 false tptp.hskp26 true _let_261 true _let_260 true _let_401 true _let_90 false _let_189 false tptp.hskp10 false _let_869 false _let_280 false _let_270 true _let_865 true _let_471 true _let_426)))) (let ((_let_1035 (_let_339))) (let ((_let_1036 (not _let_355))) (let ((_let_1037 (not _let_358))) (let ((_let_1038 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(REORDERING (CNF_OR_POS :args (_let_343)) :args ((or _let_137 _let_134 _let_307 (not _let_343)))) (REORDERING (CNF_OR_POS :args (_let_316)) :args ((or _let_116 _let_315 _let_314 (not _let_316)))) _let_687 (REORDERING (CNF_OR_POS :args (_let_309)) :args ((or _let_134 _let_131 _let_308 (not _let_309)))) (REORDERING (ASSUME :args (_let_118)) :args ((or _let_115 _let_117))) (ASSUME :args (_let_198)) (ASSUME :args (_let_200)) _let_693 _let_692 _let_691 _let_690 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_507 _let_340 _let_339))) _let_360 _let_725 _let_360 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_338 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1035) :args (tptp.a15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 V) false))))) :args _let_1035)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_723 :args (tptp.a15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_722)) :args _let_721)) (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_79 _let_76 _let_335 (not _let_337)))) (REORDERING (CNF_OR_POS :args (_let_336)) :args ((or _let_76 _let_325 _let_335 (not _let_336)))) (REORDERING (CNF_OR_POS :args (_let_326)) :args ((or _let_76 _let_325 _let_324 (not _let_326)))) _let_739 _let_738 _let_737 _let_1033 _let_985 _let_805 _let_852 _let_1034 _let_1032 _let_939 _let_935 _let_984 _let_934 _let_935 _let_796 _let_938 _let_936 _let_935 _let_934 _let_793 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_928)) :args _let_582)) _let_929 _let_927 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_928)) :args _let_582)) _let_787 (MACRO_RESOLUTION_TRUST _let_779 _let_1034 :args (_let_312 false _let_333)) _let_859 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_645 :args (tptp.a32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_759)) :args _let_643)) _let_758 _let_858 _let_360 _let_857 _let_363 _let_362 _let_361 _let_360 :args (_let_296 false _let_359 true _let_358 false _let_356 false tptp.ndr1_0 false tptp.hskp5 false tptp.ndr1_0 false _let_355 true _let_351 true _let_350 false _let_349 true _let_348 true _let_347 false _let_344 false tptp.ndr1_0 true _let_343 false _let_314 true _let_342 true _let_307 true _let_116 false _let_197 false _let_199 true _let_341 true _let_131 true _let_134 true _let_137 false tptp.hskp15 false tptp.ndr1_0 false tptp.hskp18 false tptp.ndr1_0 true _let_340 true _let_339 true _let_338 true _let_337 true _let_336 false _let_324 true _let_76 true _let_79 false _let_185 true _let_334 true _let_271 true tptp.hskp17 false tptp.hskp8 false _let_333 true _let_332 false _let_330 true _let_318 true _let_329 true _let_317 true _let_318 false _let_328 true tptp.hskp9 true _let_319 true _let_318 true _let_317 false _let_327 false _let_326 false _let_323 false _let_321 false _let_316 false _let_313 false _let_312 false _let_310 false _let_309 false _let_306 false _let_301 false tptp.ndr1_0 true _let_300 false _let_299 true _let_298 false _let_297 false tptp.ndr1_0)))) (let ((_let_1039 (MACRO_RESOLUTION_TRUST _let_660 (MACRO_RESOLUTION_TRUST _let_661 _let_1038 :args (_let_295 false _let_296)) :args (_let_234 false _let_295)))) (let ((_let_1040 (MACRO_RESOLUTION_TRUST _let_630 _let_1039 _let_896 :args (_let_418 true tptp.hskp26 true _let_597)))) (let ((_let_1041 (MACRO_RESOLUTION_TRUST _let_897 _let_1040 :args (_let_264 false _let_418)))) (let ((_let_1042 (MACRO_RESOLUTION_TRUST _let_898 _let_1040 :args (_let_267 false _let_418)))) (let ((_let_1043 (or _let_885 _let_883 _let_888))) (let ((_let_1044 (or _let_889 _let_883 _let_881))) (let ((_let_1045 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_1046 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_1047 (not _let_1046))) (let ((_let_1048 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_1049 (not _let_1048))) (let ((_let_1050 (or _let_1049 _let_1047 _let_1045))) (let ((_let_1051 (or _let_1049 _let_1045 _let_1046))) (let ((_let_1052 (or _let_1049 _let_1045 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_1053 (not _let_1044))) (let ((_let_1054 (not _let_1043))) (let ((_let_1055 (not _let_1050))) (let ((_let_1056 (not _let_1051))) (let ((_let_1057 (not _let_408))) (let ((_let_1058 (_let_1057))) (let ((_let_1059 (MACRO_RESOLUTION_TRUST _let_921 _let_920 _let_1041 _let_666 _let_665 _let_664 _let_673 _let_360 _let_672 _let_1019 _let_919 _let_1023 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp4 _let_507 _let_284 _let_281))) _let_360 _let_1029 (MACRO_RESOLUTION_TRUST _let_986 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1058)) :args _let_1058)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1057) _let_408))) (REFL :args ((not _let_1052))) :args _let_586)) _let_997 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1050)) :args ((or _let_1049 _let_1045 _let_1047 _let_1055))) (REORDERING (CNF_OR_POS :args (_let_1051)) :args ((or _let_1049 _let_1045 _let_1046 _let_1056))) (CNF_OR_NEG :args (_let_1052 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1052 0)) (CONG (REFL :args (_let_1052)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1049) _let_1048))) :args _let_586)) :args ((or _let_1048 _let_1052))) :args ((or _let_1052 _let_1056 _let_1055) false _let_1046 true _let_1045 false _let_1048)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)) _let_1040 :args (_let_1051 false _let_418)) _let_943 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)) _let_945 _let_790 _let_948 _let_785 (MACRO_RESOLUTION_TRUST _let_778 _let_1034 :args (_let_770 false _let_333)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1044)) :args ((or _let_883 _let_881 _let_889 _let_1053))) (REORDERING (CNF_OR_POS :args (_let_1043)) :args ((or _let_885 _let_883 _let_888 _let_1054))) _let_953 _let_952 _let_951 :args ((or _let_886 _let_1054 _let_1053) false _let_888 false _let_880 false _let_882 false _let_884)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) _let_1038 :args (_let_1044 false _let_296)) _let_757 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_528 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_530)) :args _let_526)) _let_685 _let_993 _let_924 (MACRO_RESOLUTION_TRUST _let_899 _let_1040 :args (_let_893 false _let_418)) _let_977 _let_676 :args ((or _let_271 _let_1027) false _let_408 true _let_982 false _let_1052 false _let_1051 true tptp.hskp24 false _let_1050 false _let_878 false _let_289 false _let_879 false _let_771 false _let_770 false _let_886 false _let_1044 false _let_749 false _let_1043 false _let_349 false _let_359 false _let_487 false _let_893 false _let_971 false _let_478)) _let_706 _let_965 _let_711 _let_918 _let_895 (MACRO_RESOLUTION_TRUST _let_915 _let_917 _let_535 _let_534 :args ((or _let_144 _let_900 _let_916) false _let_265 true _let_145 true _let_148)) _let_1042 _let_922 _let_1039 _let_1042 _let_1041 _let_537 _let_360 _let_1039 _let_291 :args (_let_260 false _let_262 false _let_264 true _let_94 true _let_97 false _let_193 false tptp.hskp11 false tptp.ndr1_0 true _let_290 true _let_289 false _let_288 true _let_286 false _let_284 false tptp.ndr1_0 true _let_283 true _let_281 true tptp.hskp4 false _let_280 false _let_274 true _let_271 false _let_270 true _let_269 false _let_267 false _let_268 true tptp.hskp26 false _let_267 false _let_264 false tptp.hskp20 false tptp.ndr1_0 true tptp.hskp26 true _let_261)))) (let ((_let_1060 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1061 (not _let_1060))) (let ((_let_1062 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1063 (not _let_1062))) (let ((_let_1064 (or _let_1063 (not (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_1061))) (let ((_let_1065 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1066 (or _let_1063 _let_1061 _let_1065))) (let ((_let_1067 (not _let_1065))) (let ((_let_1068 (or _let_1063 _let_1061 _let_1067))) (let ((_let_1069 (not _let_1066))) (let ((_let_1070 (not _let_1068))) (let ((_let_1071 (REFL :args (_let_1064)))) (let ((_let_1072 (not _let_449))) (let ((_let_1073 (_let_1072))) (let ((_let_1074 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_245)) :args ((or tptp.hskp25 tptp.hskp21 tptp.hskp17))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_625 _let_623 _let_622 _let_621 :args ((or _let_227 _let_624) false _let_226 false _let_229 false _let_231)) (MACRO_RESOLUTION_TRUST _let_629 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1073)) :args _let_1073)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1072) _let_449))) (REFL :args ((not _let_1064))) :args _let_586)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1066)) :args ((or _let_1063 _let_1061 _let_1065 _let_1069))) (REORDERING (CNF_OR_POS :args (_let_1068)) :args ((or _let_1063 _let_1061 _let_1067 _let_1070))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1064 2)) (CONG _let_1071 (MACRO_SR_PRED_INTRO :args ((= (not _let_1061) _let_1060))) :args _let_586)) :args ((or _let_1060 _let_1064))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1064 0)) (CONG _let_1071 (MACRO_SR_PRED_INTRO :args ((= (not _let_1063) _let_1062))) :args _let_586)) :args ((or _let_1062 _let_1064))) :args ((or _let_1064 _let_1070 _let_1069) true _let_1065 false _let_1060 false _let_1062)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) _let_1038 :args (_let_1068 false _let_296)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_538)) _let_1059 :args (_let_1066 false _let_260)) :args (_let_1064 false _let_1068 false _let_1066)) :args (_let_449 false _let_1064)) :args (_let_619 false _let_449)) :args (_let_227 false _let_619)) (MACRO_RESOLUTION_TRUST _let_925 (MACRO_RESOLUTION_TRUST _let_926 _let_1038 :args (_let_257 false _let_296)) _let_727 (MACRO_RESOLUTION_TRUST _let_675 _let_1059 :args (_let_255 false _let_260)) _let_259 _let_258 :args (_let_126 false _let_257 false _let_252 false _let_255 false _let_203 false _let_205)) :args (tptp.hskp21 true tptp.hskp25 true tptp.hskp17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_152 _let_250 _let_249 (not _let_251)))) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_154)) :args ((or _let_151 _let_153))) _let_1074 :args (_let_153 false tptp.hskp21)) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_214)) _let_1074 :args (_let_213 false tptp.hskp21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_557 :args (tptp.a42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_556)) :args _let_555)) _let_1034 :args (_let_251 false _let_333)) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_216)) _let_1074 :args (_let_215 false tptp.hskp21)) :args (false true _let_152 false _let_213 false _let_251 false _let_215)) :args ((or _let_240 tptp.ndr1_0) _let_248 (or _let_227 tptp.ndr1_0) (or _let_220 tptp.ndr1_0) (or _let_156 tptp.ndr1_0) _let_247 (or _let_151 tptp.ndr1_0) (or _let_144 tptp.ndr1_0) (or _let_140 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_119 tptp.ndr1_0) (or _let_115 tptp.ndr1_0) (or _let_108 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_100 tptp.ndr1_0) (or _let_93 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_75 tptp.ndr1_0) (or _let_71 tptp.ndr1_0) _let_246 (or _let_63 tptp.ndr1_0) (or _let_59 tptp.ndr1_0) (or _let_49 tptp.ndr1_0) (or _let_42 tptp.ndr1_0) (or _let_35 tptp.ndr1_0) (or _let_28 tptp.ndr1_0) _let_245 _let_244 _let_243 _let_242 _let_241 (or _let_240 (tptp.c0_1 tptp.a11)) (or _let_240 (tptp.c1_1 tptp.a11)) (or _let_240 (tptp.c3_1 tptp.a11)) _let_239 _let_237 _let_235 _let_232 _let_230 _let_228 _let_225 _let_223 _let_221 _let_218 (or _let_155 (tptp.c0_1 tptp.a45)) _let_216 _let_214 _let_212 _let_210 _let_208 _let_206 _let_204 _let_202 _let_200 _let_198 _let_196 _let_194 _let_192 _let_190 _let_188 _let_186 _let_184 _let_182 _let_180 _let_178 _let_176 _let_174 _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_159 (or (not (tptp.c1_1 tptp.a45)) _let_155) (or (not (tptp.c3_1 tptp.a45)) _let_155) _let_154 _let_150 _let_147 _let_143 _let_139 _let_136 _let_133 _let_129 _let_125 _let_122 _let_118 _let_114 _let_111 _let_107 (or (not (tptp.c2_1 tptp.a22)) _let_101) _let_104 (or (not (tptp.c0_1 tptp.a21)) _let_100) (or (not (tptp.c1_1 tptp.a21)) _let_100) (or (not (tptp.c2_1 tptp.a21)) _let_100) _let_99 _let_96 _let_92 _let_88 _let_85 _let_81 _let_78 _let_74 _let_70 _let_66 _let_62 _let_58 _let_55 _let_52 _let_48 _let_45 _let_41 _let_38 _let_34 _let_31 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp7)) _let_27 _let_26 _let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp26)) _let_24 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp27 tptp.hskp26)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp27 tptp.hskp7)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp27 tptp.hskp12)) _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp24)) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp6)) _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.50/0.87 )
% 0.50/0.87 % SZS output end Proof for SYN436-1
% 0.50/0.88 % cvc5---1.0.5 exiting
% 0.50/0.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------