TSTP Solution File: SYN475-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 02:03:30 EDT 2023
% Result : Unsatisfiable 0.53s 0.80s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.16 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n031.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 21:25:53 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.53 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Mj21XHQYvw/cvc5---1.0.5_7404.p...
% 0.23/0.57 ------- get file name : TPTP file name is SYN475-1
% 0.23/0.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7404.smt2...
% 0.23/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/0.80 % SZS status Unsatisfiable for SYN475-1
% 0.53/0.80 % SZS output start Proof for SYN475-1
% 0.65/0.83 (
% 0.65/0.83 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)) (tptp.c0_1 V) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c1_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 V) tptp.hskp17)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp6)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp15)))) (let ((_let_10 (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.c2_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp8)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp19)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp4)))) (let ((_let_14 (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.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp27)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp6)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp3)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp13)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp7)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp23 tptp.hskp4)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp4 tptp.hskp19)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp24 tptp.hskp15)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp23)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp28 tptp.hskp8)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp2 tptp.hskp1)))) (let ((_let_26 (not tptp.hskp0))) (let ((_let_27 (not tptp.hskp1))) (let ((_let_28 (tptp.c1_1 tptp.a1001))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27))) (let ((_let_31 (not tptp.hskp2))) (let ((_let_32 (tptp.c1_1 tptp.a1002))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (not tptp.hskp3))) (let ((_let_36 (tptp.c2_1 tptp.a1003))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (tptp.c0_1 tptp.a1003))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_35))) (let ((_let_42 (not tptp.hskp4))) (let ((_let_43 (tptp.c3_1 tptp.a1004))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (not tptp.hskp5))) (let ((_let_47 (tptp.c3_1 tptp.a1005))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.c2_1 tptp.a1005))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46))) (let ((_let_53 (tptp.c1_1 tptp.a1005))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_46))) (let ((_let_56 (not tptp.hskp6))) (let ((_let_57 (tptp.c2_1 tptp.a1006))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (not tptp.hskp7))) (let ((_let_61 (tptp.c3_1 tptp.a1008))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (tptp.c1_1 tptp.a1008))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_60))) (let ((_let_67 (not tptp.hskp8))) (let ((_let_68 (tptp.c1_1 tptp.a1010))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (not tptp.hskp9))) (let ((_let_72 (not tptp.hskp10))) (let ((_let_73 (not tptp.hskp11))) (let ((_let_74 (not tptp.hskp12))) (let ((_let_75 (tptp.c0_1 tptp.a1019))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74))) (let ((_let_78 (not tptp.hskp13))) (let ((_let_79 (tptp.c2_1 tptp.a1023))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78))) (let ((_let_82 (tptp.c1_1 tptp.a1023))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_78))) (let ((_let_85 (not tptp.hskp14))) (let ((_let_86 (tptp.c3_1 tptp.a1025))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85))) (let ((_let_89 (tptp.c2_1 tptp.a1025))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_85))) (let ((_let_92 (not tptp.hskp15))) (let ((_let_93 (tptp.c1_1 tptp.a1026))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92))) (let ((_let_96 (tptp.c0_1 tptp.a1026))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_92))) (let ((_let_99 (not tptp.hskp16))) (let ((_let_100 (not tptp.hskp17))) (let ((_let_101 (tptp.c0_1 tptp.a1032))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100))) (let ((_let_104 (not tptp.hskp18))) (let ((_let_105 (not tptp.hskp19))) (let ((_let_106 (tptp.c3_1 tptp.a1037))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105))) (let ((_let_109 (tptp.c1_1 tptp.a1037))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_105))) (let ((_let_112 (tptp.c0_1 tptp.a1037))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_105))) (let ((_let_115 (not tptp.hskp20))) (let ((_let_116 (not tptp.hskp21))) (let ((_let_117 (tptp.c3_1 tptp.a1041))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (tptp.c0_1 tptp.a1041))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_116))) (let ((_let_123 (not tptp.hskp22))) (let ((_let_124 (tptp.c2_1 tptp.a1043))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_123))) (let ((_let_127 (tptp.c1_1 tptp.a1043))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_123))) (let ((_let_130 (not tptp.hskp23))) (let ((_let_131 (tptp.c3_1 tptp.a1044))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (not tptp.hskp24))) (let ((_let_135 (tptp.c0_1 tptp.a1045))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_134))) (let ((_let_138 (not tptp.hskp25))) (let ((_let_139 (not tptp.hskp26))) (let ((_let_140 (tptp.c3_1 tptp.a1001))) (let ((_let_141 (or _let_27 _let_140))) (let ((_let_142 (tptp.c2_1 tptp.a1001))) (let ((_let_143 (or _let_27 _let_142))) (let ((_let_144 (tptp.c2_1 tptp.a1002))) (let ((_let_145 (or _let_31 _let_144))) (let ((_let_146 (tptp.c0_1 tptp.a1002))) (let ((_let_147 (or _let_31 _let_146))) (let ((_let_148 (tptp.c2_1 tptp.a1004))) (let ((_let_149 (or _let_42 _let_148))) (let ((_let_150 (tptp.c1_1 tptp.a1004))) (let ((_let_151 (or _let_42 _let_150))) (let ((_let_152 (tptp.c3_1 tptp.a1006))) (let ((_let_153 (or _let_56 _let_152))) (let ((_let_154 (tptp.c0_1 tptp.a1006))) (let ((_let_155 (or _let_56 _let_154))) (let ((_let_156 (tptp.c2_1 tptp.a1008))) (let ((_let_157 (or _let_60 _let_156))) (let ((_let_158 (tptp.c3_1 tptp.a1010))) (let ((_let_159 (or _let_67 _let_158))) (let ((_let_160 (tptp.c0_1 tptp.a1010))) (let ((_let_161 (or _let_67 _let_160))) (let ((_let_162 (tptp.c2_1 tptp.a1019))) (let ((_let_163 (or _let_74 _let_162))) (let ((_let_164 (tptp.c1_1 tptp.a1019))) (let ((_let_165 (or _let_74 _let_164))) (let ((_let_166 (tptp.c3_1 tptp.a1023))) (let ((_let_167 (or _let_78 _let_166))) (let ((_let_168 (tptp.c0_1 tptp.a1025))) (let ((_let_169 (or _let_85 _let_168))) (let ((_let_170 (tptp.c2_1 tptp.a1026))) (let ((_let_171 (or _let_92 _let_170))) (let ((_let_172 (tptp.c3_1 tptp.a1032))) (let ((_let_173 (or _let_100 _let_172))) (let ((_let_174 (tptp.c2_1 tptp.a1032))) (let ((_let_175 (or _let_100 _let_174))) (let ((_let_176 (tptp.c2_1 tptp.a1041))) (let ((_let_177 (or _let_116 _let_176))) (let ((_let_178 (tptp.c0_1 tptp.a1043))) (let ((_let_179 (or _let_123 _let_178))) (let ((_let_180 (tptp.c1_1 tptp.a1044))) (let ((_let_181 (or _let_130 _let_180))) (let ((_let_182 (tptp.c0_1 tptp.a1044))) (let ((_let_183 (or _let_130 _let_182))) (let ((_let_184 (tptp.c3_1 tptp.a1045))) (let ((_let_185 (or _let_134 _let_184))) (let ((_let_186 (tptp.c1_1 tptp.a1045))) (let ((_let_187 (or _let_134 _let_186))) (let ((_let_188 (tptp.c3_1 tptp.a1029))) (let 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tptp.hskp29 tptp.hskp23 tptp.hskp13))) (let ((_let_213 (or _let_56 tptp.ndr1_0))) (let ((_let_214 (or _let_85 tptp.ndr1_0))) (let ((_let_215 (or _let_189 tptp.ndr1_0))) (let ((_let_216 (not _let_188))) (let ((_let_217 (not _let_191))) (let ((_let_218 (not _let_193))) (let ((_let_219 (or _let_218 _let_217 _let_216))) (let ((_let_220 (not _let_152))) (let ((_let_221 (not _let_154))) (let ((_let_222 (or _let_221 _let_220 _let_57))) (let ((_let_223 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_224 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_225 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_226 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_227 (tptp.c2_1 tptp.a1037))) (let ((_let_228 (not _let_227))) (let ((_let_229 (or _let_228 _let_112 _let_109))) (let ((_let_230 (or _let_109 _let_227 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_let_353 _let_369 _let_406))))) (let ((_let_408 (_let_373))) (let ((_let_409 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_408) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 V) false))))) :args _let_408)))) (let ((_let_410 (or _let_244 _let_243 _let_282))) (let ((_let_411 (not _let_368))) (let ((_let_412 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_413 (not _let_412))) (let ((_let_414 (or _let_367 _let_413 _let_363))) (let ((_let_415 (or _let_367 _let_413 _let_364))) (let ((_let_416 (not _let_241))) (let ((_let_417 (_let_416))) (let ((_let_418 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_417)) :args _let_417)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_416) _let_241))) (REFL :args ((not _let_414))) :args _let_332)))) (let ((_let_419 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp23 _let_321 _let_241))))) (let ((_let_420 (REFL :args (_let_414)))) (let ((_let_421 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_414 0)) (CONG _let_420 (MACRO_SR_PRED_INTRO :args ((= (not _let_367) _let_366))) :args _let_332)) :args ((or _let_366 _let_414))))) (let ((_let_422 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_414 1)) (CONG _let_420 (MACRO_SR_PRED_INTRO :args ((= (not _let_413) _let_412))) :args _let_332)) :args ((or _let_412 _let_414))))) (let ((_let_423 (CNF_OR_NEG :args (_let_414 2)))) (let ((_let_424 (not _let_248))) (let ((_let_425 (ASSUME :args (_let_183)))) (let ((_let_426 (ASSUME :args (_let_181)))) (let ((_let_427 (REORDERING (ASSUME :args (_let_133)) :args ((or _let_130 _let_132))))) (let ((_let_428 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_131 _let_247 _let_246 _let_424))) _let_427 _let_426 _let_425 :args ((or _let_130 _let_424) true _let_131 false _let_180 false _let_182)))) (let ((_let_429 (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_367 _let_363 _let_365 _let_411))))) (let ((_let_430 (_let_249))) (let ((_let_431 ((not (= (tptp.c0_1 U) false))))) (let ((_let_432 (ASSUME :args _let_430))) (let ((_let_433 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (tptp.a1044 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_431)) :args _let_430)))) (let ((_let_434 (REORDERING (CNF_OR_POS :args (_let_415)) :args ((or _let_367 _let_413 _let_364 (not _let_415)))))) (let ((_let_435 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp4 _let_321 _let_249))))) (let ((_let_436 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_395)) :args _let_394)))) (let ((_let_437 (_let_241))) (let ((_let_438 ((not (= (tptp.c0_1 U) false))))) (let ((_let_439 (ASSUME :args _let_437))) (let ((_let_440 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_439 :args (tptp.a1010 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_438)) :args _let_437)))) (let ((_let_441 (REORDERING (CNF_OR_POS :args (_let_410)) :args ((or _let_244 _let_243 _let_282 (not _let_410)))))) (let ((_let_442 (not _let_270))) (let ((_let_443 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_68 _let_269 _let_268 _let_442))) (REORDERING (ASSUME :args (_let_70)) :args ((or _let_67 _let_69))) (ASSUME :args (_let_159)) (ASSUME :args (_let_161)) :args ((or _let_67 _let_442) true _let_68 false _let_158 false _let_160)))) (let ((_let_444 (_let_276))) (let ((_let_445 ((not (= (tptp.c1_1 U) false))))) (let ((_let_446 (ASSUME :args _let_444))) (let ((_let_447 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_446 :args (tptp.a1004 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_445)) :args _let_444)))) (let ((_let_448 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 _let_321 _let_259 _let_274))))) (let ((_let_449 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_276 (= U V)))))) (let ((_let_450 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_287 (= U U)))))) (let ((_let_451 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_321 _let_374 _let_373))))) (let ((_let_452 (not _let_375))) (let ((_let_453 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_375)) :args ((or _let_53 _let_50 _let_47 _let_452))) (REORDERING (ASSUME :args (_let_49)) :args ((or _let_46 _let_48))) (REORDERING (ASSUME :args (_let_52)) :args ((or _let_46 _let_51))) (REORDERING (ASSUME :args (_let_55)) :args ((or _let_46 _let_54))) :args ((or _let_46 _let_452) true _let_47 true _let_50 true _let_53)))) (let ((_let_454 (_let_232))) (let ((_let_455 ((not (= (tptp.c1_1 U) true))))) (let ((_let_456 (ASSUME :args _let_454))) (let ((_let_457 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_456 :args (tptp.a1005 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_455)) :args _let_454)))) (let ((_let_458 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_321 _let_232 _let_233))))) (let ((_let_459 (_let_233))) (let ((_let_460 ((not (= (tptp.c0_1 V) true))))) (let ((_let_461 (ASSUME :args _let_459))) (let ((_let_462 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp23 tptp.hskp4 _let_321 _let_242))))) (let ((_let_463 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_387)))) (let ((_let_464 (not _let_273))) (let ((_let_465 (REORDERING (CNF_OR_POS :args (_let_273)) :args ((or _let_254 _let_251 _let_272 _let_464))))) (let ((_let_466 (not _let_279))) (let ((_let_467 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_456 :args (tptp.a1025 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_454)))) (let ((_let_468 (not _let_280))) (let ((_let_469 (not _let_267))) (let ((_let_470 (REORDERING (ASSUME :args (_let_129)) :args ((or _let_123 _let_128))))) (let ((_let_471 (REORDERING (ASSUME :args (_let_91)) :args ((or _let_85 _let_90))))) (let ((_let_472 (REORDERING (ASSUME :args (_let_88)) :args ((or _let_85 _let_87))))) (let ((_let_473 (not _let_281))) (let ((_let_474 (REORDERING (CNF_OR_POS :args (_let_281)) :args ((or _let_89 _let_86 _let_260 _let_473))))) (let ((_let_475 (not _let_144))) (let ((_let_476 (or _let_238 _let_475 _let_32))) (let ((_let_477 (or _let_238 _let_32 _let_236))) (let ((_let_478 (not _let_239))) (let ((_let_479 (ASSUME :args (_let_147)))) (let ((_let_480 (REORDERING (ASSUME :args (_let_34)) :args ((or _let_31 _let_33))))) (let ((_let_481 (not _let_476))) (let ((_let_482 (ASSUME :args (_let_145)))) (let ((_let_483 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_476)) :args ((or _let_32 _let_238 _let_475 _let_481))) _let_480 _let_482 _let_479 :args ((or _let_31 _let_481) true _let_32 false _let_144 false _let_146)))) (let ((_let_484 (not _let_477))) (let ((_let_485 (_let_239))) (let ((_let_486 (REORDERING (CNF_OR_POS :args _let_485) :args ((or _let_32 _let_238 _let_237 _let_478))))) (let ((_let_487 (REORDERING (CNF_OR_POS :args (_let_477)) :args ((or _let_32 _let_238 _let_236 _let_484))))) (let ((_let_488 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (tptp.a1002 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_310)))) (let ((_let_489 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_316 :args (tptp.a1002 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_315)) :args _let_314)))) (let ((_let_490 (MACRO_RESOLUTION_TRUST _let_322 _let_320 _let_318 _let_317 _let_489 _let_488 (MACRO_RESOLUTION_TRUST _let_487 _let_486 :args ((or _let_32 _let_238 _let_478 _let_484) true _let_236)) _let_483 _let_480 _let_479 :args ((or tptp.hskp19 _let_31 _let_478) false tptp.ndr1_0 true _let_304 true _let_303 true _let_302 true _let_301 true _let_477 true _let_476 true _let_32 false _let_146)))) (let ((_let_491 (or _let_475 _let_237 _let_32))) (let ((_let_492 (REORDERING (CNF_OR_POS :args (_let_491)) :args ((or _let_32 _let_475 _let_237 (not _let_491)))))) (let ((_let_493 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_351 :args (tptp.a1002 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_350)) :args _let_349)))) (let ((_let_494 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_439 :args (tptp.a1002 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_438)) :args _let_437)))) (let ((_let_495 (MACRO_RESOLUTION_TRUST _let_435 _let_320 _let_433 _let_328 _let_428 _let_390 _let_419 _let_320 _let_391 _let_494 (MACRO_RESOLUTION_TRUST _let_397 _let_393 _let_399 _let_392 _let_320 _let_400 _let_320 _let_386 _let_385 _let_493 _let_492 _let_401 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_239 1)) (CONG (REFL :args _let_485) (MACRO_SR_PRED_INTRO :args ((= (not _let_237) _let_236))) :args _let_332)) :args ((or _let_236 _let_239))) _let_488 _let_490 _let_483 _let_480 _let_482 :args ((or tptp.hskp19 _let_31 _let_240) false _let_223 true _let_222 false _let_361 false tptp.ndr1_0 false tptp.hskp6 false tptp.ndr1_0 true _let_360 true _let_359 true _let_259 true _let_491 true _let_362 false _let_236 true _let_301 true _let_239 true _let_476 true _let_32 false _let_144)) _let_490 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_86 _let_262 _let_261 (not _let_263)))) _let_474 _let_472 _let_471 (ASSUME :args (_let_169)) (ASSUME :args (_let_210)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_127 _let_266 _let_265 _let_469))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_280)) :args ((or _let_127 _let_124 _let_264 _let_468))) (REORDERING (ASSUME :args (_let_126)) :args ((or _let_123 _let_125))) _let_470 :args ((or _let_123 _let_264 _let_468) true _let_124 true _let_127)) _let_470 (ASSUME :args (_let_179)) :args ((or _let_123 _let_469 _let_468) false _let_264 true _let_127 false _let_178)) _let_467 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_456 :args (tptp.a1043 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_455)) :args _let_454)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_75 _let_278 _let_277 _let_466))) (REORDERING (ASSUME :args (_let_77)) :args ((or _let_74 _let_76))) (ASSUME :args (_let_163)) (ASSUME :args (_let_165)) :args ((or _let_74 _let_466) true _let_75 false _let_162 false _let_164)) _let_458 _let_320 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_446 :args (tptp.a1019 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_445)) :args _let_444)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_461 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_460)) :args _let_459)) _let_449 (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_252 _let_251 _let_271 (not _let_275)))) _let_448 _let_320 _let_465 _let_443 _let_463 _let_440 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_439 :args (tptp.a1043 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false tptp.ndr1_0 true _let_250 true _let_240 true _let_283 true _let_242)) _let_393 _let_328 _let_436 _let_435 _let_320 _let_434 _let_433 _let_429 _let_428 _let_423 _let_422 _let_421 _let_419 _let_320 _let_418 :args ((or tptp.hskp19 tptp.hskp2 _let_241 _let_411 _let_330) true _let_361 true _let_245 true _let_223 false tptp.hskp4 false tptp.ndr1_0 true _let_415 true _let_249 true _let_364 true _let_248 true _let_363 false _let_412 false _let_366 false tptp.hskp23 false tptp.ndr1_0 true _let_414)) _let_352 _let_348 _let_346 _let_340 _let_320 :args ((or tptp.hskp19 tptp.hskp2 _let_244 _let_243 _let_411 _let_330) false _let_274 false tptp.ndr1_0 true _let_276 true tptp.hskp8 true _let_410 false _let_270 true _let_282 false _let_241 true _let_259 true _let_258 false tptp.hskp1 true _let_250 false tptp.ndr1_0)) _let_409 _let_407 _let_405 _let_404 _let_313 _let_403 _let_401 _let_400 _let_320 _let_399 _let_397 _let_393 _let_392 _let_320 _let_391 _let_390 _let_328 _let_326 _let_325 _let_386 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(REORDERING (ASSUME :args (_let_111)) :args ((or _let_105 _let_110))))) (let ((_let_499 (MACRO_RESOLUTION_TRUST _let_498 _let_495 :args (_let_110 false tptp.hskp19)))) (let ((_let_500 (REORDERING (ASSUME :args (_let_114)) :args ((or _let_105 _let_113))))) (let ((_let_501 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))))) (let ((_let_502 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_503 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_504 (not _let_503))) (let ((_let_505 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_506 (not _let_505))) (let ((_let_507 (or _let_506 _let_504 _let_502))) (let ((_let_508 (tptp.c1_1 tptp.a1032))) (let ((_let_509 (not _let_172))) (let ((_let_510 (not _let_174))) (let ((_let_511 (or _let_510 _let_509 _let_508))) (let ((_let_512 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_513 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_514 (not _let_513))) (let 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((_let_613 (_let_612))) (let ((_let_614 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_519 (= U V)))))) (let ((_let_615 (REFL :args (_let_590)))) (let ((_let_616 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_287 (= U U)))))) (let ((_let_617 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 _let_321 _let_522 _let_520))))) (let ((_let_618 (ASSUME :args (_let_175)))) (let ((_let_619 (ASSUME :args (_let_173)))) (let ((_let_620 (REORDERING (ASSUME :args (_let_103)) :args ((or _let_100 _let_102))))) (let ((_let_621 (REORDERING (CNF_OR_POS :args (_let_593)) :args ((or _let_101 _let_510 _let_509 (not _let_593)))))) (let ((_let_622 (_let_594))) (let ((_let_623 ((not (= (tptp.c2_1 U) false))))) (let ((_let_624 (ASSUME :args _let_622))) (let ((_let_625 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_624 :args (tptp.a1032 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_623)) :args _let_622)))) (let ((_let_626 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_594 (= U V)))))) (let ((_let_627 (not _let_594))) (let ((_let_628 (_let_627))) (let ((_let_629 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_628)) :args _let_628)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_627) _let_594))) (REFL :args ((not _let_596))) :args _let_332)))) (let ((_let_630 (REFL :args (_let_596)))) (let ((_let_631 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_596 0)) (CONG _let_630 (MACRO_SR_PRED_INTRO :args ((= (not _let_516) _let_515))) :args _let_332)) :args ((or _let_515 _let_596))))) (let ((_let_632 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_596 1)) (CONG _let_630 (MACRO_SR_PRED_INTRO :args ((= (not _let_514) _let_513))) :args _let_332)) :args ((or _let_513 _let_596))))) (let ((_let_633 (MACRO_RESOLUTION_TRUST _let_397 _let_393 _let_399 _let_392 _let_320 _let_400 _let_320 _let_386 _let_385 :args ((or _let_259 _let_362 _let_240) false _let_223 true _let_222 false _let_361 false tptp.ndr1_0 false tptp.hskp6 false tptp.ndr1_0 true _let_360 true 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((_let_675 (_let_547))) (let ((_let_676 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_675) :args (tptp.a1023 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_675)))) (let ((_let_677 (not _let_549))) (let ((_let_678 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_549)) :args ((or _let_82 _let_79 _let_548 _let_677))) (REORDERING (ASSUME :args (_let_81)) :args ((or _let_78 _let_80))) (REORDERING (ASSUME :args (_let_84)) :args ((or _let_78 _let_83))) (ASSUME :args (_let_167)) :args ((or _let_78 _let_677) true _let_79 true _let_82 false _let_166)))) (let ((_let_679 (ASSUME :args (_let_212)))) (let ((_let_680 (ASSUME :args (_let_208)))) (let ((_let_681 (ASSUME :args (_let_206)))) (let ((_let_682 (not _let_527))) (let ((_let_683 (REORDERING (CNF_OR_POS :args (_let_527)) :args ((or _let_526 _let_525 _let_524 _let_682))))) (let ((_let_684 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (tptp.a1037 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_292)) :args _let_291)))) (let ((_let_685 (not _let_554))) (let ((_let_686 (not _let_230))) (let ((_let_687 (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_109 _let_106 _let_227 _let_686))))) (let ((_let_688 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_554)) :args ((or _let_112 _let_106 _let_228 _let_685))) _let_687 _let_496 _let_498 _let_500 :args ((or _let_105 _let_686 _let_685) false _let_227 true _let_106 true _let_109 true _let_112)))) (let ((_let_689 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_456 :args (tptp.a1037 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_455)) :args _let_454)))) (let ((_let_690 (ASSUME :args (_let_194)))) (let ((_let_691 (ASSUME :args (_let_192)))) (let ((_let_692 (ASSUME :args (_let_190)))) (let ((_let_693 (REORDERING (CNF_OR_POS :args (_let_219)) :args ((or _let_218 _let_217 _let_216 (not _let_219)))))) (let ((_let_694 (_let_556))) (let ((_let_695 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_694) :args (tptp.a1029 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_694)))) (let ((_let_696 (not _let_556))) (let ((_let_697 (_let_696))) (let ((_let_698 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_697)) :args _let_697)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_696) _let_556))) (REFL :args ((not _let_563))) :args _let_332)))) (let ((_let_699 (REFL :args (_let_563)))) (let ((_let_700 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_563 0)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_562) _let_561))) :args _let_332)) :args ((or _let_561 _let_563))))) (let ((_let_701 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_563 1)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_560) _let_559))) :args _let_332)) :args ((or _let_559 _let_563))))) (let ((_let_702 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_703 (or _let_560 _let_558 _let_702))) (let ((_let_704 (not _let_702))) (let ((_let_705 (or _let_562 _let_704 _let_560))) (let ((_let_706 (or _let_704 _let_560 _let_558))) (let ((_let_707 (not _let_705))) (let ((_let_708 (REORDERING (CNF_OR_POS :args (_let_705)) :args ((or _let_562 _let_560 _let_704 _let_707))))) (let ((_let_709 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_338 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_337)) :args _let_336)))) (let ((_let_710 (not _let_565))) (let ((_let_711 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_712 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_713 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_714 (not _let_184))) (let ((_let_715 (not _let_186))) (let ((_let_716 (or _let_715 _let_714 _let_135))) (let ((_let_717 (not _let_242))) (let ((_let_718 (_let_717))) (let ((_let_719 (not _let_530))) (let ((_let_720 (not _let_535))) (let ((_let_721 (REFL :args (_let_507)))) (let ((_let_722 (_let_536))) (let ((_let_723 (not _let_551))) (let ((_let_724 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_112 _let_109 _let_228 _let_231))) _let_687 _let_496 _let_498 _let_500 :args ((or _let_105 _let_686 _let_231) false _let_227 true _let_106 true _let_109 true _let_112)))) (let ((_let_725 (_let_552))) (let ((_let_726 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_657 :args (tptp.a1037 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_656)) :args _let_655)))) (let ((_let_727 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_320 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_226 (= V W)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_552 (= U U)))) _let_726 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_725) :args (tptp.a1040 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_725)) _let_724 _let_495 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_551)) :args ((or _let_526 _let_525 _let_523 _let_723))) _let_683 :args ((or _let_526 _let_525 _let_682 _let_723) true _let_523)) _let_689 _let_681 _let_680 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U V)))) _let_679 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 _let_321 _let_521 _let_550))) _let_320 _let_678 _let_676 _let_674 _let_320 _let_443 _let_652 _let_440 _let_584 _let_583 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_241 (= U V)))) _let_579 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_320 _let_578 _let_320 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_536 (= U W)))) _let_577 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_722) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_722)) _let_294 _let_673 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_535)) :args ((or _let_506 _let_502 _let_528 _let_720))) (REORDERING (CNF_OR_POS :args (_let_530)) :args ((or _let_506 _let_504 _let_529 _let_719))) (CNF_OR_NEG :args (_let_507 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_507 1)) (CONG _let_721 (MACRO_SR_PRED_INTRO :args ((= (not _let_504) _let_503))) :args _let_332)) :args ((or _let_503 _let_507))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_507 0)) (CONG _let_721 (MACRO_SR_PRED_INTRO :args ((= (not _let_506) _let_505))) :args _let_332)) :args ((or _let_505 _let_507))) :args ((or _let_507 _let_720 _let_719) true _let_528 true _let_502 false _let_503 false _let_505)) _let_335 _let_671 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_338 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_337)) :args _let_336)) _let_339 _let_670 _let_616 _let_617 _let_320 (MACRO_RESOLUTION_TRUST _let_648 _let_641 _let_650 _let_639 _let_651 _let_320 _let_632 _let_631 _let_649 _let_629 _let_626 _let_644 _let_625 _let_640 _let_621 _let_637 _let_620 _let_619 _let_618 :args ((or _let_100 _let_636 _let_638) true _let_600 false _let_602 false _let_512 false _let_604 false tptp.ndr1_0 false _let_513 false _let_515 true _let_603 true _let_596 true _let_595 true _let_601 true _let_594 true _let_598 true _let_593 false _let_508 true _let_101 false _let_172 false _let_174)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_302 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_519 (= U U)))) _let_614 _let_489 _let_658 _let_487 _let_654 _let_492 _let_493 _let_635 _let_634 _let_633 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_718)) :args _let_718)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_717) _let_242))) (REFL :args ((not _let_507))) :args _let_332)) _let_391 _let_390 _let_328 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_439 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_437)) (REORDERING (CNF_OR_POS :args (_let_567)) :args ((or _let_355 _let_353 _let_370 (not _let_567)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_643 :args (tptp.a1045 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_642)) (REORDERING (CNF_OR_POS :args (_let_716)) :args ((or _let_135 _let_715 _let_714 (not _let_716)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_601 (= U V)))) (REORDERING (ASSUME :args (_let_137)) :args ((or _let_134 _let_136))) (ASSUME :args (_let_185)) (ASSUME :args (_let_187)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_321 _let_712 _let_713))) _let_320 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp15 _let_321 _let_711))) _let_320 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_241 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_241 (= U U)))) :args ((or tptp.hskp15 _let_241) true _let_716 false _let_601 true _let_135 false _let_184 false _let_186 false _let_713 false tptp.ndr1_0 false tptp.hskp24 false tptp.ndr1_0 true _let_712 true _let_711)) (REORDERING (CNF_OR_POS :args (_let_566)) :args ((or _let_357 _let_353 _let_369 (not _let_566)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_565)) :args ((or _let_96 _let_93 _let_564 _let_710))) (REORDERING (ASSUME :args (_let_95)) :args ((or _let_92 _let_94))) (REORDERING (ASSUME :args (_let_98)) :args ((or _let_92 _let_97))) (ASSUME :args (_let_171)) :args ((or _let_92 _let_710) true _let_93 true _let_96 false _let_170)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_657 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_656)) :args _let_655)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_657 :args (tptp.a1026 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_656)) :args _let_655)) _let_659 _let_660 _let_320 _let_661 _let_397 _let_399 _let_383 _let_382 _let_384 _let_400 _let_320 _let_380 _let_385 (MACRO_RESOLUTION_TRUST _let_651 _let_320 _let_649 _let_626 _let_644 _let_625 _let_640 _let_621 _let_637 _let_620 _let_619 _let_618 _let_617 _let_320 _let_650 _let_616 _let_614 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_646)) :args _let_645)) _let_709 _let_658 (REORDERING (CNF_OR_POS :args (_let_706)) :args ((or _let_560 _let_558 _let_704 (not _let_706)))) _let_708 _let_654 (REORDERING (CNF_OR_POS :args (_let_703)) :args ((or _let_560 _let_558 _let_702 (not _let_703)))) _let_492 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_351 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_350)) :args _let_349)) _let_493 _let_634 :args ((or _let_32 _let_238 _let_475 _let_378 _let_562 _let_560 _let_558) false tptp.ndr1_0 true _let_603 true _let_595 true _let_601 true _let_594 true _let_598 true _let_593 false _let_508 true _let_101 false _let_172 false _let_174 false tptp.hskp17 false tptp.ndr1_0 true _let_604 true _let_522 true _let_520 true _let_602 true _let_287 true _let_519 true _let_706 true _let_705 true _let_518 false _let_702 true _let_236 false _let_703 false _let_491 false _let_511)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_563 2)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_558) _let_557))) :args _let_332)) :args ((or _let_557 _let_563))) _let_701 _let_700 _let_698 _let_695 _let_693 _let_692 _let_691 _let_690 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 _let_321 _let_301 _let_555))) _let_320 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U V)))) _let_689 _let_688 _let_495 _let_684 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_576)) :args ((or _let_526 _let_575 _let_523 (not _let_576)))) _let_683 (ASSUME :args (_let_204)) _let_681 _let_680 _let_679 _let_678 _let_676 _let_674 _let_320 _let_673 _let_671 _let_670 (MACRO_RESOLUTION_TRUST _let_649 _let_651 _let_320 _let_626 _let_644 _let_650 _let_625 _let_640 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_646)) :args _let_645)) _let_621 _let_637 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_573)) :args ((or _let_572 _let_570 _let_568 _let_665))) (REORDERING (CNF_OR_POS :args (_let_664)) :args ((or _let_572 _let_570 _let_663 _let_669))) :args ((or _let_572 _let_570 _let_665 _let_669) true _let_568)) _let_620 _let_619 _let_618 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_662 2)) (CONG _let_668 (MACRO_SR_PRED_INTRO :args ((= (not _let_570) _let_569))) :args _let_332)) :args ((or _let_569 _let_662))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_662 1)) (CONG _let_668 (MACRO_SR_PRED_INTRO :args ((= (not _let_572) _let_571))) :args _let_332)) :args ((or _let_571 _let_662))) _let_617 _let_320 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_667)) :args _let_667)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_666) _let_287))) (REFL :args ((not _let_662))) :args _let_332)) _let_616 :args ((or _let_287 _let_520 _let_665 _let_636) false _let_603 false tptp.ndr1_0 true _let_595 true _let_601 true _let_604 true _let_594 true _let_598 true _let_602 true _let_593 false _let_508 true _let_664 true _let_101 false _let_172 false _let_174 false _let_569 false _let_571 false tptp.hskp17 false tptp.ndr1_0 true _let_662 true _let_522)) _let_634 _let_385 _let_400 _let_320 _let_399 _let_397 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (tptp.a1040 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_395)) :args _let_394)) _let_661 _let_660 _let_320 _let_614 _let_659 _let_658 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_657 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_656)) :args _let_655)) _let_654 (MACRO_RESOLUTION_TRUST _let_465 (REORDERING (CNF_OR_POS :args (_let_574)) :args ((or _let_254 _let_252 _let_271 _let_653))) _let_343 _let_344 _let_345 :args ((or _let_255 _let_464 _let_653) false _let_271 true _let_251 true _let_252 false _let_253)) _let_443 _let_486 _let_463 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_388)) :args _let_387)) _let_440 _let_494 _let_462 _let_320 _let_419 _let_320 _let_652 _let_584 _let_583 _let_579 _let_578 _let_320 _let_342 _let_577 :args ((or tptp.hskp4 _let_32 _let_250 _let_362 _let_501 _let_238 _let_475) true _let_523 false _let_202 false _let_205 false _let_207 false tptp.hskp29 true tptp.hskp13 false _let_549 false _let_547 false tptp.ndr1_0 true tptp.hskp28 false _let_534 false _let_527 false _let_287 false _let_511 false _let_259 false _let_359 false tptp.ndr1_0 true tptp.hskp6 false _let_222 false _let_576 false _let_223 false _let_224 false tptp.ndr1_0 true _let_520 true _let_225 true _let_519 true _let_226 true _let_518 true _let_574 true tptp.hskp8 true _let_236 false _let_273 false _let_573 false _let_270 false _let_239 false _let_242 false tptp.ndr1_0 false _let_241 false tptp.ndr1_0 true tptp.hskp23 false _let_546 false _let_541 false _let_539 false _let_538 false tptp.ndr1_0 true _let_255 true _let_537)) _let_553 _let_401 :args ((or tptp.hskp4 _let_32 _let_301 _let_238 _let_475) true _let_567 false _let_241 false _let_369 true tptp.hskp15 false _let_566 false _let_565 false _let_226 false _let_225 false tptp.ndr1_0 true _let_224 true _let_223 true _let_222 true _let_353 false _let_354 false _let_356 false tptp.hskp6 false tptp.ndr1_0 true _let_358 true _let_359 true _let_259 false _let_557 false _let_559 false _let_561 true _let_563 true _let_556 true _let_219 false _let_188 false _let_191 false _let_193 false tptp.hskp27 false tptp.ndr1_0 true _let_555 true _let_232 true _let_230 false tptp.hskp19 false _let_554 false _let_250 true _let_501 true _let_362)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_301 (= U V)))) _let_553 _let_401 _let_488 _let_483 _let_480 _let_482 _let_479 :args (_let_31 false tptp.ndr1_0 true (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (tptp.c0_1 W) (tptp.c1_1 W))) true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))) true _let_226 true _let_552 true _let_229 false tptp.hskp19 true _let_551 false _let_230 false _let_205 false _let_207 false _let_232 false tptp.hskp29 false _let_550 false tptp.ndr1_0 true tptp.hskp13 false _let_549 false _let_547 false tptp.ndr1_0 true tptp.hskp8 true tptp.hskp23 false _let_270 false _let_546 false _let_541 false _let_241 false _let_539 false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))) false tptp.ndr1_0 false _let_538 false tptp.ndr1_0 true (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c3_1 W))) true _let_537 true _let_536 true _let_250 true tptp.hskp28 true _let_535 true _let_283 false _let_534 false _let_530 false _let_289 false _let_527 false _let_287 false _let_522 false tptp.ndr1_0 true tptp.hskp17 true _let_521 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))) true _let_520 true _let_302 true _let_519 true _let_477 true _let_518 true _let_236 false _let_491 false _let_517 false _let_511 false _let_259 true _let_507 true _let_240 true _let_242 true _let_245 false tptp.hskp4 true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))) true _let_501 true _let_362 true _let_301 true _let_476 true _let_32 false _let_144 false _let_146)))) (let ((_let_728 (MACRO_RESOLUTION_TRUST _let_458 _let_727 _let_320 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_461 :args (tptp.a1037 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_460)) :args _let_459)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_112 _let_109 _let_106 _let_235))) (MACRO_RESOLUTION_TRUST _let_500 _let_495 :args (_let_113 false tptp.hskp19)) _let_499 _let_497 :args (_let_235 true _let_112 true _let_109 true _let_106)) :args ((not _let_233) true _let_234)) :args (_let_232 true tptp.hskp2 false tptp.ndr1_0 true _let_233)))) (let ((_let_729 (MACRO_RESOLUTION_TRUST _let_689 _let_728 :args (_let_230 false _let_232)))) (let ((_let_730 (MACRO_RESOLUTION_TRUST _let_726 (MACRO_RESOLUTION_TRUST _let_724 _let_495 _let_729 :args (_let_231 false tptp.hskp19 false _let_230)) :args ((not _let_226) true _let_229)))) (let ((_let_731 (MACRO_RESOLUTION_TRUST _let_352 (MACRO_RESOLUTION_TRUST _let_348 (MACRO_RESOLUTION_TRUST _let_346 _let_727 _let_320 (MACRO_RESOLUTION_TRUST _let_684 (MACRO_RESOLUTION_TRUST _let_688 _let_495 _let_729 :args (_let_685 false tptp.hskp19 false _let_230)) :args (_let_290 true _let_554)) :args (tptp.hskp1 true tptp.hskp2 false tptp.ndr1_0 true _let_250)) :args (_let_347 false tptp.hskp1)) :args (_let_378 true _let_258)))) (let ((_let_732 (MACRO_RESOLUTION_TRUST _let_380 _let_731 :args (_let_377 true _let_259)))) (let ((_let_733 (MACRO_RESOLUTION_TRUST _let_383 _let_732 :args ((not _let_353) true _let_358)))) (let ((_let_734 (MACRO_RESOLUTION_TRUST _let_384 _let_732 :args (_let_356 true _let_358)))) (let ((_let_735 (MACRO_RESOLUTION_TRUST _let_382 _let_732 :args (_let_354 true _let_358)))) (let ((_let_736 (MACRO_RESOLUTION_TRUST _let_453 (MACRO_RESOLUTION_TRUST _let_457 _let_728 :args (_let_375 false _let_232)) :args (_let_46 false _let_375)))) (let ((_let_737 (MACRO_RESOLUTION_TRUST _let_399 (MACRO_RESOLUTION_TRUST _let_397 (MACRO_RESOLUTION_TRUST _let_661 (MACRO_RESOLUTION_TRUST _let_660 (MACRO_RESOLUTION_TRUST _let_429 _let_434 _let_423 _let_422 _let_421 _let_418 _let_440 _let_443 _let_448 _let_320 _let_731 _let_449 _let_447 _let_441 _let_334 _let_339 _let_450 _let_451 _let_320 _let_736 _let_409 _let_407 _let_735 _let_733 _let_405 _let_734 _let_733 _let_436 _let_404 _let_403 _let_393 _let_401 _let_392 _let_320 (MACRO_RESOLUTION_TRUST _let_386 _let_731 :args ((not _let_360) true _let_259)) _let_633 _let_731 _let_391 _let_390 _let_328 _let_326 _let_325 :args (_let_42 false _let_364 true _let_363 false _let_412 false _let_366 true _let_414 true _let_241 true _let_270 false tptp.hskp8 false tptp.ndr1_0 true _let_259 true _let_274 true _let_276 true _let_410 true _let_282 false _let_289 false _let_287 false _let_374 false tptp.ndr1_0 true tptp.hskp5 true _let_373 true _let_372 false _let_354 true _let_353 true _let_369 false _let_356 true _let_353 false _let_415 false _let_371 false _let_368 false _let_223 false _let_301 false _let_361 false tptp.ndr1_0 true _let_360 false _let_362 true _let_259 true _let_240 true _let_242 true _let_245 false _let_148 false _let_150)) _let_320 (MACRO_RESOLUTION_TRUST _let_659 _let_730 :args ((not _let_225) true _let_226)) :args (_let_224 true tptp.hskp4 false tptp.ndr1_0 true _let_225)) :args (_let_223 false _let_224)) :args (_let_222 false _let_223)) :args (_let_56 false _let_222)))) (let ((_let_738 (or _let_261 _let_89 _let_86))) (let ((_let_739 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_740 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_741 (tptp.c3_1 tptp.a1003))) (let ((_let_742 (or _let_39 _let_36 _let_741))) (let ((_let_743 (not _let_741))) (let ((_let_744 (or _let_743 _let_39 _let_36))) (let ((_let_745 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_746 (or _let_357 _let_355 _let_369))) (let ((_let_747 (not _let_746))) (let ((_let_748 (MACRO_RESOLUTION_TRUST _let_401 (MACRO_RESOLUTION_TRUST _let_400 _let_737 _let_320 (MACRO_RESOLUTION_TRUST _let_385 _let_731 :args ((not _let_359) true _let_259)) :args (_let_362 true tptp.hskp6 false tptp.ndr1_0 true _let_359)) :args (_let_301 false _let_362)))) (let ((_let_749 (MACRO_RESOLUTION_TRUST _let_405 _let_734 _let_733 (MACRO_RESOLUTION_TRUST _let_404 _let_748 :args (_let_371 false _let_301)) :args (_let_370 false _let_356 true _let_353 false _let_371)))) (let ((_let_750 (_let_745))) (let ((_let_751 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_752 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_753 (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_754 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_755 (MACRO_RESOLUTION_TRUST _let_409 (MACRO_RESOLUTION_TRUST _let_407 _let_735 _let_733 _let_749 :args (_let_406 false _let_354 true _let_353 true _let_369)) :args ((not _let_373) true _let_372)))) (let ((_let_756 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_757 (or _let_228 _let_109 _let_106))) (let ((_let_758 (not _let_757))) (let ((_let_759 (_let_756))) (let ((_let_760 (_let_751))) (let ((_let_761 (_let_739))) (let ((_let_762 (not _let_738))) (let ((_let_763 (MACRO_RESOLUTION_TRUST _let_319 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_474 (REORDERING (CNF_OR_POS :args (_let_738)) :args ((or _let_89 _let_86 _let_261 _let_762))) _let_472 _let_471 :args ((or _let_85 _let_473 _let_762) true _let_260 true _let_86 true _let_89)) (MACRO_RESOLUTION_TRUST _let_467 _let_728 :args (_let_281 false _let_232)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_761) :args (tptp.a1025 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_761)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_739 (= U U)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_321 _let_740 _let_226))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_744)) :args ((or _let_39 _let_36 _let_743 (not _let_744)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_760) :args (tptp.a1003 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_760)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_751 (= U V)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) _let_320 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_756 (= U U)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_759) :args (tptp.a1037 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_759)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_757)) :args ((or _let_109 _let_106 _let_228 _let_758))) _let_687 :args ((or _let_109 _let_106 _let_758 _let_686) false _let_227)) _let_499 _let_497 _let_729 :args (_let_758 true _let_109 true _let_106 false _let_230)) :args ((not _let_756) true _let_757)) :args ((not _let_754) true _let_756)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_373 (= V W)))) _let_755 :args ((not _let_753) true _let_373)) :args (_let_752 false tptp.ndr1_0 true _let_754 true _let_753)) :args (_let_751 false _let_752)) :args (_let_744 false _let_751)) (REORDERING (CNF_OR_POS :args (_let_742)) :args ((or _let_39 _let_36 _let_741 (not _let_742)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_750) :args (tptp.a1003 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 V) true))))) :args _let_750)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_321 _let_594 _let_745))) _let_737 _let_320 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_624 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_623)) :args _let_622)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_746)) :args ((or _let_357 _let_355 _let_369 _let_747))) _let_734 _let_735 _let_749 :args (_let_747 false _let_356 false _let_354 true _let_369)) :args (_let_627 true _let_746)) :args (_let_745 true tptp.hskp6 false tptp.ndr1_0 true _let_594)) :args (_let_742 false _let_745)) (REORDERING (ASSUME :args (_let_38)) :args ((or _let_35 _let_37))) (REORDERING (ASSUME :args (_let_41)) :args ((or _let_35 _let_40))) :args (_let_35 false _let_744 false _let_741 false _let_742 true _let_36 true _let_39)) _let_320 _let_730 :args (_let_740 true tptp.hskp3 false tptp.ndr1_0 true _let_226)) :args (_let_739 false _let_740)) :args (_let_738 false _let_739)) :args (_let_85 false _let_281 false _let_738)) _let_737 :args (tptp.hskp27 true tptp.hskp14 true tptp.hskp6)))) (let ((_let_764 (or _let_562 _let_560 _let_702))) (let ((_let_765 (not _let_764))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_693 (MACRO_RESOLUTION_TRUST _let_692 _let_763 :args (_let_188 false tptp.hskp27)) (MACRO_RESOLUTION_TRUST _let_691 _let_763 :args (_let_191 false tptp.hskp27)) (MACRO_RESOLUTION_TRUST _let_695 (MACRO_RESOLUTION_TRUST _let_698 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_764)) :args ((or _let_562 _let_560 _let_702 _let_765))) _let_708 _let_701 _let_700 :args ((or _let_563 _let_765 _let_707) true _let_702 false _let_559 false _let_561)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_310)) _let_748 :args (_let_764 false _let_301)) (MACRO_RESOLUTION_TRUST _let_709 (MACRO_RESOLUTION_TRUST _let_450 (MACRO_RESOLUTION_TRUST _let_451 _let_736 _let_320 _let_755 :args (_let_374 true tptp.hskp5 false tptp.ndr1_0 true _let_373)) :args (_let_287 false _let_374)) :args (_let_705 false _let_287)) :args (_let_563 false _let_764 false _let_705)) :args (_let_556 false _let_563)) :args (_let_219 false _let_556)) (MACRO_RESOLUTION_TRUST _let_690 _let_763 :args (_let_193 false tptp.hskp27)) :args (false false _let_188 false _let_191 false _let_219 false _let_193)) :args ((or _let_203 tptp.ndr1_0) (or _let_196 tptp.ndr1_0) _let_215 (or _let_139 tptp.ndr1_0) (or _let_138 tptp.ndr1_0) (or _let_134 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_123 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_115 tptp.ndr1_0) (or _let_105 tptp.ndr1_0) (or _let_104 tptp.ndr1_0) (or _let_100 tptp.ndr1_0) (or _let_99 tptp.ndr1_0) (or _let_92 tptp.ndr1_0) _let_214 (or _let_78 tptp.ndr1_0) (or _let_74 tptp.ndr1_0) (or _let_73 tptp.ndr1_0) (or _let_72 tptp.ndr1_0) (or _let_71 tptp.ndr1_0) (or _let_67 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) _let_213 (or _let_46 tptp.ndr1_0) (or _let_42 tptp.ndr1_0) (or _let_35 tptp.ndr1_0) (or _let_31 tptp.ndr1_0) (or _let_27 tptp.ndr1_0) (or _let_26 tptp.ndr1_0) _let_212 (or tptp.hskp29 tptp.hskp12 tptp.hskp5) (or tptp.hskp29 tptp.hskp3 tptp.hskp26) (or tptp.hskp23 tptp.hskp18 tptp.hskp20) _let_211 (or tptp.hskp27 tptp.hskp7 tptp.hskp26) _let_210 _let_209 (or tptp.hskp24 tptp.hskp25 tptp.hskp19) _let_208 _let_206 _let_204 _let_201 _let_199 _let_197 _let_194 _let_192 _let_190 (or _let_139 (tptp.c3_1 tptp.a1052)) (or _let_138 (tptp.c1_1 tptp.a1048)) _let_187 _let_185 _let_183 _let_181 _let_179 _let_177 (or _let_104 (tptp.c1_1 tptp.a1036)) (or _let_104 (tptp.c3_1 tptp.a1036)) _let_175 _let_173 (or _let_99 (tptp.c1_1 tptp.a1030)) _let_171 _let_169 _let_167 _let_165 _let_163 (or _let_73 (tptp.c3_1 tptp.a1015)) (or _let_72 (tptp.c0_1 tptp.a1012)) (or _let_71 (tptp.c0_1 tptp.a1011)) (or _let_71 (tptp.c1_1 tptp.a1011)) _let_161 _let_159 _let_157 _let_155 _let_153 _let_151 _let_149 (or _let_35 (tptp.c1_1 tptp.a1003)) _let_147 _let_145 _let_143 _let_141 (or _let_26 (tptp.c0_1 tptp.a1000)) (or _let_26 (tptp.c2_1 tptp.a1000)) (or (not (tptp.c0_1 tptp.a1052)) _let_139) (or (not (tptp.c2_1 tptp.a1052)) _let_139) (or (not (tptp.c0_1 tptp.a1048)) _let_138) (or (not (tptp.c3_1 tptp.a1048)) _let_138) _let_137 _let_133 _let_129 _let_126 _let_122 _let_119 (or (not (tptp.c0_1 tptp.a1038)) _let_115) (or (not (tptp.c1_1 tptp.a1038)) _let_115) (or (not (tptp.c2_1 tptp.a1038)) _let_115) _let_114 _let_111 _let_108 (or (not (tptp.c2_1 tptp.a1036)) _let_104) _let_103 (or (not (tptp.c2_1 tptp.a1030)) _let_99) (or (not (tptp.c3_1 tptp.a1030)) _let_99) _let_98 _let_95 _let_91 _let_88 _let_84 _let_81 _let_77 (or (not (tptp.c0_1 tptp.a1015)) _let_73) (or (not (tptp.c1_1 tptp.a1015)) _let_73) (or (not (tptp.c1_1 tptp.a1012)) _let_72) (or (not (tptp.c3_1 tptp.a1012)) _let_72) (or (not (tptp.c2_1 tptp.a1011)) _let_71) _let_70 _let_66 _let_63 _let_59 _let_55 _let_52 _let_49 _let_45 _let_41 _let_38 _let_34 _let_30 (or (not (tptp.c3_1 tptp.a1000)) _let_26) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp0 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp9 tptp.hskp10)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp8 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp12)) _let_25 _let_24 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp10 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp29 tptp.hskp21)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp25)) _let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp8 tptp.hskp26)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp6 tptp.hskp13)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp23 tptp.hskp3)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp6 tptp.hskp22)) _let_21 _let_20 _let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp9 tptp.hskp12)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp24 tptp.hskp3)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp26 tptp.hskp19)) _let_18 _let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp16)) _let_16 _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp7)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp4)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp8)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp7)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp12)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp17)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp20)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp11)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp11)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp13)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp9)) _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp10)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp22)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp15)) _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp6)) _let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp14)) _let_9 _let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c1_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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V) tptp.hskp6)) _let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) _let_6 _let_5 _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) _let_3 _let_2 _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c0_1 W)) (not (tptp.c3_1 W)) (tptp.c2_1 V) (tptp.c1_1 W)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.65/0.84 )
% 0.65/0.84 % SZS output end Proof for SYN475-1
% 0.65/0.84 % cvc5---1.0.5 exiting
% 0.65/0.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------