TSTP Solution File: SYN452-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 02:03:19 EDT 2023
% Result : Unsatisfiable 0.20s 0.68s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:23:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KZBAzWVzp7/cvc5---1.0.5_24695.p...
% 0.20/0.52 ------- get file name : TPTP file name is SYN452-1
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24695.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.68 % SZS status Unsatisfiable for SYN452-1
% 0.20/0.68 % SZS output start Proof for SYN452-1
% 0.20/0.71 (
% 0.20/0.71 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$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.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) tptp.hskp8)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp15)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp20)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp19)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp9)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp23)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp9)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp9)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp6)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp2)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp2)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp1 tptp.hskp2)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp15)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp7)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp29 tptp.hskp19)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp14 tptp.hskp22)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp21 tptp.hskp13)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp15 tptp.hskp8)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp14 tptp.hskp13)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp1 tptp.hskp22)))) (let ((_let_30 (not tptp.hskp0))) (let ((_let_31 (tptp.c3_1 tptp.a815))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (not tptp.hskp1))) (let ((_let_35 (tptp.c2_1 tptp.a816))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (not tptp.hskp2))) (let ((_let_39 (tptp.c3_1 tptp.a817))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (tptp.c0_1 tptp.a817))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_38))) (let ((_let_45 (not tptp.hskp3))) (let ((_let_46 (not tptp.hskp4))) (let ((_let_47 (not tptp.hskp5))) (let ((_let_48 (tptp.c0_1 tptp.a825))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (not tptp.hskp6))) (let ((_let_52 (tptp.c0_1 tptp.a827))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (not tptp.hskp7))) (let ((_let_56 (tptp.c2_1 tptp.a828))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55))) (let ((_let_59 (tptp.c1_1 tptp.a828))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_55))) (let ((_let_62 (not tptp.hskp8))) (let ((_let_63 (tptp.c3_1 tptp.a830))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (tptp.c2_1 tptp.a830))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_62))) (let ((_let_69 (tptp.c0_1 tptp.a830))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_62))) (let ((_let_72 (not tptp.hskp9))) (let ((_let_73 (tptp.c1_1 tptp.a831))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72))) (let ((_let_76 (tptp.c0_1 tptp.a831))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_72))) (let ((_let_79 (not tptp.hskp10))) (let ((_let_80 (not tptp.hskp11))) (let ((_let_81 (not tptp.hskp12))) (let ((_let_82 (not tptp.hskp13))) (let ((_let_83 (tptp.c2_1 tptp.a839))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (not tptp.hskp14))) (let ((_let_87 (tptp.c2_1 tptp.a842))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (not tptp.hskp15))) (let ((_let_91 (tptp.c3_1 tptp.a844))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90))) (let ((_let_94 (tptp.c1_1 tptp.a844))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_90))) (let ((_let_97 (not tptp.hskp16))) (let ((_let_98 (tptp.c1_1 tptp.a848))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (not tptp.hskp17))) (let ((_let_102 (not tptp.hskp18))) (let ((_let_103 (not tptp.hskp19))) (let ((_let_104 (tptp.c3_1 tptp.a855))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_103))) (let ((_let_107 (tptp.c1_1 tptp.a855))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_103))) (let ((_let_110 (tptp.c0_1 tptp.a855))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_103))) (let ((_let_113 (not tptp.hskp20))) (let ((_let_114 (tptp.c2_1 tptp.a856))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_113))) (let ((_let_117 (tptp.c1_1 tptp.a856))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_113))) (let ((_let_120 (not tptp.hskp21))) (let ((_let_121 (tptp.c3_1 tptp.a857))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120))) (let ((_let_124 (tptp.c2_1 tptp.a857))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_120))) (let ((_let_127 (not tptp.hskp22))) (let ((_let_128 (tptp.c2_1 tptp.a860))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_127))) (let ((_let_131 (tptp.c1_1 tptp.a860))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_127))) (let ((_let_134 (tptp.c0_1 tptp.a860))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_127))) (let ((_let_137 (not tptp.hskp23))) (let ((_let_138 (tptp.c1_1 tptp.a862))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_137))) (let ((_let_141 (not tptp.hskp24))) (let ((_let_142 (tptp.c3_1 tptp.a878))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_141))) (let ((_let_145 (tptp.c0_1 tptp.a878))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_141))) (let ((_let_148 (not tptp.hskp25))) (let ((_let_149 (tptp.c3_1 tptp.a892))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_148))) (let ((_let_152 (tptp.c1_1 tptp.a815))) (let ((_let_153 (or _let_30 _let_152))) (let ((_let_154 (tptp.c0_1 tptp.a815))) (let ((_let_155 (or _let_30 _let_154))) (let ((_let_156 (tptp.c3_1 tptp.a816))) (let ((_let_157 (or _let_34 _let_156))) (let ((_let_158 (tptp.c0_1 tptp.a816))) (let ((_let_159 (or _let_34 _let_158))) (let ((_let_160 (tptp.c2_1 tptp.a817))) (let ((_let_161 (or _let_38 _let_160))) (let ((_let_162 (tptp.c3_1 tptp.a825))) (let ((_let_163 (or _let_47 _let_162))) (let ((_let_164 (tptp.c1_1 tptp.a825))) (let ((_let_165 (or _let_47 _let_164))) (let ((_let_166 (tptp.c2_1 tptp.a827))) (let ((_let_167 (or _let_51 _let_166))) (let ((_let_168 (tptp.c1_1 tptp.a827))) (let ((_let_169 (or _let_51 _let_168))) (let ((_let_170 (tptp.c0_1 tptp.a828))) (let ((_let_171 (or _let_55 _let_170))) (let ((_let_172 (tptp.c3_1 tptp.a831))) (let ((_let_173 (or _let_72 _let_172))) (let ((_let_174 (tptp.c3_1 tptp.a839))) (let ((_let_175 (or _let_82 _let_174))) (let ((_let_176 (tptp.c1_1 tptp.a839))) (let ((_let_177 (or _let_82 _let_176))) (let ((_let_178 (tptp.c1_1 tptp.a842))) (let ((_let_179 (or _let_86 _let_178))) (let ((_let_180 (tptp.c0_1 tptp.a842))) (let ((_let_181 (or _let_86 _let_180))) (let ((_let_182 (tptp.c2_1 tptp.a844))) (let ((_let_183 (or _let_90 _let_182))) (let ((_let_184 (tptp.c3_1 tptp.a848))) (let ((_let_185 (or _let_97 _let_184))) (let ((_let_186 (tptp.c2_1 tptp.a848))) (let ((_let_187 (or _let_97 _let_186))) (let ((_let_188 (tptp.c3_1 tptp.a856))) (let ((_let_189 (or _let_113 _let_188))) (let ((_let_190 (tptp.c0_1 tptp.a857))) (let ((_let_191 (or _let_120 _let_190))) (let ((_let_192 (tptp.c3_1 tptp.a862))) (let ((_let_193 (or _let_137 _let_192))) (let ((_let_194 (tptp.c0_1 tptp.a862))) (let ((_let_195 (or _let_137 _let_194))) (let ((_let_196 (tptp.c1_1 tptp.a878))) (let ((_let_197 (or _let_141 _let_196))) (let ((_let_198 (tptp.c2_1 tptp.a892))) (let ((_let_199 (or _let_148 _let_198))) (let ((_let_200 (tptp.c1_1 tptp.a892))) (let ((_let_201 (or _let_148 _let_200))) (let ((_let_202 (not tptp.hskp26))) (let ((_let_203 (not tptp.hskp27))) (let ((_let_204 (not tptp.hskp28))) (let ((_let_205 (tptp.c3_1 tptp.a865))) (let ((_let_206 (not tptp.hskp29))) (let ((_let_207 (or _let_206 _let_205))) (let ((_let_208 (tptp.c2_1 tptp.a865))) (let ((_let_209 (or _let_206 _let_208))) (let ((_let_210 (tptp.c1_1 tptp.a865))) (let ((_let_211 (or _let_206 _let_210))) (let ((_let_212 (or tptp.hskp13 tptp.hskp16 tptp.hskp19))) (let ((_let_213 (or tptp.hskp7 tptp.hskp5 tptp.hskp13))) (let ((_let_214 (or tptp.hskp23 tptp.hskp25 tptp.hskp5))) (let ((_let_215 (or tptp.hskp27 tptp.hskp18 tptp.hskp9))) (let ((_let_216 (or _let_72 tptp.ndr1_0))) (let ((_let_217 (or _let_102 tptp.ndr1_0))) (let ((_let_218 (or _let_203 tptp.ndr1_0))) (let ((_let_219 (or tptp.hskp14 tptp.hskp24))) (let ((_let_220 (not _let_172))) (let ((_let_221 (or _let_220 _let_76 _let_73))) (let ((_let_222 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c1_1 U))))) (let ((_let_223 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_224 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_225 (or _let_110 _let_107 _let_104))) (let ((_let_226 (tptp.c1_1 tptp.a830))) (let ((_let_227 (or _let_69 _let_226 _let_63))) (let ((_let_228 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_229 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_230 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_231 (not _let_230))) (let ((_let_232 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_233 (not _let_232))) (let ((_let_234 (or _let_233 _let_231 _let_229))) (let ((_let_235 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_236 (not _let_226))) (let ((_let_237 (or _let_236 _let_66 _let_63))) (let ((_let_238 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_239 (not _let_205))) (let ((_let_240 (not _let_208))) (let ((_let_241 (not _let_210))) (let ((_let_242 (or _let_241 _let_240 _let_239))) (let ((_let_243 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_244 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)))))) (let ((_let_245 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_246 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_247 (not _let_246))) (let ((_let_248 (or _let_233 _let_247 _let_231))) (let ((_let_249 (or _let_233 _let_231 _let_246))) (let ((_let_250 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_251 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_252 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_253 (not _let_252))) (let ((_let_254 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_255 (not _let_254))) (let ((_let_256 (or _let_255 _let_253 _let_251))) (let ((_let_257 (not tptp.ndr1_0))) (let ((_let_258 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_259 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_260 (not _let_156))) (let ((_let_261 (not _let_158))) (let ((_let_262 (or _let_261 _let_260 _let_35))) (let ((_let_263 (tptp.c3_1 tptp.a828))) (let ((_let_264 (not _let_263))) (let ((_let_265 (not _let_170))) (let ((_let_266 (or _let_265 _let_264 _let_56))) (let ((_let_267 (forall ((W $$unsorted)) (or (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_268 (or _let_134 _let_131 _let_128))) (let ((_let_269 (forall ((U $$unsorted)) (or (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_270 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_271 (or _let_59 _let_56 _let_263))) (let ((_let_272 (tptp.c3_1 tptp.a860))) (let ((_let_273 (or _let_131 _let_128 _let_272))) (let ((_let_274 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_275 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_276 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_277 (or _let_276 _let_275 _let_274))) (let ((_let_278 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_279 (or _let_278 _let_276 _let_275))) (let ((_let_280 (not _let_274))) (let ((_let_281 (or _let_280 _let_278 _let_276))) (let ((_let_282 (not _let_272))) (let ((_let_283 (or _let_282 _let_131 _let_128))) (let ((_let_284 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_285 (not _let_160))) (let ((_let_286 (tptp.c1_1 tptp.a817))) (let ((_let_287 (not _let_286))) (let ((_let_288 (or _let_287 _let_285 _let_39))) (let ((_let_289 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_290 (or _let_287 _let_285 _let_42))) (let ((_let_291 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c0_1 U))))) (let ((_let_292 (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c0_1 W))))) (let ((_let_293 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_294 (not _let_178))) (let ((_let_295 (not _let_180))) (let ((_let_296 (or _let_295 _let_294 _let_87))) (let ((_let_297 (tptp.c2_1 tptp.a878))) (let ((_let_298 (not _let_297))) (let ((_let_299 (not _let_196))) (let ((_let_300 (or _let_299 _let_298 _let_142))) (let ((_let_301 (tptp.c3_1 tptp.a827))) (let ((_let_302 (not _let_166))) (let ((_let_303 (not _let_168))) (let ((_let_304 (or _let_303 _let_302 _let_301))) (let ((_let_305 (tptp.c2_1 tptp.a815))) (let ((_let_306 (not _let_305))) (let ((_let_307 (not _let_152))) (let ((_let_308 (or _let_307 _let_306 _let_31))) (let ((_let_309 (not _let_198))) (let ((_let_310 (not _let_200))) (let ((_let_311 (or _let_310 _let_309 _let_149))) (let ((_let_312 (tptp.c0_1 tptp.a856))) (let ((_let_313 (or _let_312 _let_117 _let_114))) (let ((_let_314 (tptp.c2_1 tptp.a831))) (let ((_let_315 (or _let_76 _let_73 _let_314))) (let ((_let_316 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_317 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_318 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_319 (or _let_318 _let_317 _let_316))) (let ((_let_320 (or _let_69 _let_226 _let_66))) (let ((_let_321 (or _let_299 _let_297 _let_142))) (let ((_let_322 (tptp.c3_1 tptp.a842))) (let ((_let_323 (or _let_294 _let_87 _let_322))) (let ((_let_324 (not _let_322))) (let ((_let_325 (or _let_295 _let_324 _let_87))) (let ((_let_326 (not _let_258))) (let ((_let_327 (_let_258))) (let ((_let_328 ((not (= (tptp.c1_1 U) false))))) (let ((_let_329 (ASSUME :args _let_327))) (let ((_let_330 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_329 :args (tptp.a815 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_328)) :args _let_327)))) (let ((_let_331 (not _let_311))) (let ((_let_332 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_333 (or _let_42 _let_286 _let_39))) (let ((_let_334 (or _let_278 _let_276 _let_274))) (let ((_let_335 (or _let_280 _let_276 _let_275))) (let ((_let_336 (not _let_288))) (let ((_let_337 (not _let_308))) (let ((_let_338 (or))) (let ((_let_339 (not _let_270))) (let ((_let_340 (_let_339))) (let ((_let_341 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_340)) :args _let_340)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_339) _let_270))) (REFL :args ((not _let_279))) :args _let_338)))) (let ((_let_342 (CNF_OR_NEG :args (_let_279 0)))) (let ((_let_343 (CNF_OR_NEG :args (_let_279 1)))) (let ((_let_344 (CNF_OR_NEG :args (_let_279 2)))) (let ((_let_345 (or _let_278 _let_275 _let_274))) (let ((_let_346 (forall ((U $$unsorted)) (or (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_347 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_348 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_349 (not _let_154))) (let ((_let_350 (or _let_349 _let_307 _let_31))) (let ((_let_351 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c3_1 U))))) (let ((_let_352 (or _let_349 _let_305 _let_31))) (let ((_let_353 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_354 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_355 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_356 (not _let_162))) (let ((_let_357 (not _let_164))) (let ((_let_358 (or _let_357 _let_356 _let_48))) (let ((_let_359 (not _let_222))) (let ((_let_360 (_let_222))) (let ((_let_361 ((not (= (tptp.c3_1 U) false))))) (let ((_let_362 (ASSUME :args _let_360))) (let ((_let_363 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (tptp.a831 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_361)) :args _let_360)))) (let ((_let_364 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_361)) :args _let_360)))) (let ((_let_365 (not _let_221))) (let ((_let_366 (ASSUME :args (_let_173)))) (let ((_let_367 (REORDERING (ASSUME :args (_let_78)) :args ((or _let_72 _let_77))))) (let ((_let_368 (REORDERING (ASSUME :args (_let_75)) :args ((or _let_72 _let_74))))) (let ((_let_369 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_221)) :args ((or _let_76 _let_73 _let_220 _let_365))) _let_368 _let_367 _let_366 :args ((or _let_72 _let_365) true _let_73 true _let_76 false _let_172)))) (let ((_let_370 (not _let_281))) (let ((_let_371 (not _let_277))) (let ((_let_372 (REORDERING (CNF_OR_POS :args (_let_281)) :args ((or _let_278 _let_276 _let_280 _let_370))))) (let ((_let_373 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_276 _let_275 _let_274 _let_371))) _let_372 _let_344 _let_343 _let_342 :args ((or _let_279 _let_371 _let_370) true _let_274 true _let_275 true _let_276 true _let_278)))) (let ((_let_374 (_let_269))) (let ((_let_375 ((not (= (tptp.c1_1 U) true))))) (let ((_let_376 (ASSUME :args _let_374))) (let ((_let_377 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)))) (let ((_let_378 (REORDERING (CNF_OR_POS :args (_let_345)) :args ((or _let_278 _let_275 _let_274 (not _let_345)))))) (let ((_let_379 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_269 (= U U)))))) (let ((_let_380 (_let_347))) (let ((_let_381 ((not (= (tptp.c0_1 U) true))))) (let ((_let_382 (ASSUME :args _let_380))) (let ((_let_383 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_381)) :args _let_380)))) (let ((_let_384 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 _let_257 _let_346 _let_270))))) (let ((_let_385 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_347 (= U V)))))) (let ((_let_386 (ASSUME :args (_let_155)))) (let ((_let_387 (ASSUME :args (_let_153)))) (let ((_let_388 (REORDERING (ASSUME :args (_let_33)) :args ((or _let_30 _let_32))))) (let ((_let_389 (not _let_350))) (let ((_let_390 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_350)) :args ((or _let_31 _let_349 _let_307 _let_389))) _let_388 _let_387 _let_386 :args ((or _let_30 _let_389) true _let_31 false _let_152 false _let_154)))) (let ((_let_391 (_let_308))) (let ((_let_392 (REORDERING (CNF_OR_POS :args _let_391) :args ((or _let_31 _let_307 _let_306 _let_337))))) (let ((_let_393 (_let_351))) (let ((_let_394 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_393) :args (tptp.a815 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_393)))) (let ((_let_395 (REORDERING (CNF_OR_POS :args (_let_352)) :args ((or _let_31 _let_349 _let_305 (not _let_352)))))) (let ((_let_396 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_257 _let_351 _let_353))))) (let ((_let_397 (_let_354))) (let ((_let_398 ((not (= (tptp.c0_1 U) false))))) (let ((_let_399 (ASSUME :args _let_397))) (let ((_let_400 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.a815 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)))) (let ((_let_401 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_355 (= U V)))))) (let ((_let_402 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_257 _let_354 _let_348))))) (let ((_let_403 (_let_355))) (let ((_let_404 ((not (= (tptp.c1_1 U) false))))) (let ((_let_405 (ASSUME :args _let_403))) (let ((_let_406 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (tptp.a825 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_404)) :args _let_403)))) (let ((_let_407 (not _let_358))) (let ((_let_408 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_358)) :args ((or _let_48 _let_357 _let_356 _let_407))) (REORDERING (ASSUME :args (_let_50)) :args ((or _let_47 _let_49))) (ASSUME :args (_let_163)) (ASSUME :args (_let_165)) :args ((or _let_47 _let_407) true _let_48 false _let_162 false _let_164)))) (let ((_let_409 (MACRO_RESOLUTION_TRUST _let_408 _let_406 _let_402 _let_401 _let_400 _let_396 _let_395 _let_394 _let_392 _let_390 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_379 _let_378 _let_377 _let_372 _let_373 _let_369 _let_364 _let_363 _let_343 _let_344 _let_342 _let_341 :args ((or _let_257 _let_270 _let_359 _let_337) false _let_358 false tptp.hskp5 false _let_355 true _let_354 false _let_353 true _let_352 true _let_351 true _let_305 true _let_350 true _let_31 false _let_152 false _let_154 true _let_348 false tptp.hskp0 true _let_347 true _let_346 true _let_345 true _let_269 true _let_274 true _let_277 true tptp.hskp9 false _let_281 false _let_221 true _let_276 true _let_275 true _let_278 true _let_279)))) (let ((_let_410 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_411 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_222 (= U V)))))) (let ((_let_412 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_224 (= U V)))))) (let ((_let_413 (_let_224))) (let ((_let_414 ((not (= (tptp.c0_1 U) true))))) (let ((_let_415 (ASSUME :args _let_413))) (let ((_let_416 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a817 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)))) (let ((_let_417 (_let_284))) (let ((_let_418 ((not (= (tptp.c3_1 U) false))))) (let ((_let_419 (ASSUME :args _let_417))) (let ((_let_420 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_257 _let_284 _let_332))))) (let ((_let_421 (ASSUME :args (_let_161)))) (let ((_let_422 (REORDERING (ASSUME :args (_let_44)) :args ((or _let_38 _let_43))))) (let ((_let_423 (REORDERING (ASSUME :args (_let_41)) :args ((or _let_38 _let_40))))) (let ((_let_424 (_let_288))) (let ((_let_425 (REORDERING (CNF_OR_POS :args _let_424) :args ((or _let_39 _let_285 _let_287 _let_336))))) (let ((_let_426 (not _let_333))) (let ((_let_427 (REORDERING (CNF_OR_POS :args (_let_333)) :args ((or _let_42 _let_39 _let_286 _let_426))))) (let ((_let_428 (_let_270))) (let ((_let_429 ((not (= (tptp.c0_1 V) true))))) (let ((_let_430 (ASSUME :args _let_428))) (let ((_let_431 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (tptp.a856 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)))) (let ((_let_432 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (tptp.a860 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)))) (let ((_let_433 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)))) (let ((_let_434 (not _let_268))) (let ((_let_435 (REORDERING (ASSUME :args (_let_136)) :args ((or _let_127 _let_135))))) (let ((_let_436 (REORDERING (ASSUME :args (_let_133)) :args ((or _let_127 _let_132))))) (let ((_let_437 (REORDERING (ASSUME :args (_let_130)) :args ((or _let_127 _let_129))))) (let ((_let_438 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_268)) :args ((or _let_134 _let_131 _let_128 _let_434))) _let_437 _let_436 _let_435 :args ((or _let_127 _let_434) true _let_128 true _let_131 true _let_134)))) (let ((_let_439 (not _let_300))) (let ((_let_440 (ASSUME :args (_let_183)))) (let ((_let_441 (REORDERING (ASSUME :args (_let_96)) :args ((or _let_90 _let_95))))) (let ((_let_442 (REORDERING (ASSUME :args (_let_93)) :args ((or _let_90 _let_92))))) (let ((_let_443 (or _let_349 _let_307 _let_305))) (let ((_let_444 (or _let_299 _let_145 _let_297))) (let ((_let_445 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_446 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_447 (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_448 (not _let_182))) (let ((_let_449 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_450 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_451 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_452 (not _let_451))) (let ((_let_453 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_454 (not _let_453))) (let ((_let_455 (or _let_454 _let_452 _let_450))) (let ((_let_456 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_457 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_458 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V))))) (let ((_let_459 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_460 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_461 (not _let_312))) (let ((_let_462 (or _let_461 _let_117 _let_114))) (let ((_let_463 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_464 (or _let_255 _let_251 _let_463))) (let ((_let_465 (or _let_233 _let_246 _let_229))) (let ((_let_466 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_467 (or _let_69 _let_66 _let_63))) (let ((_let_468 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_469 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_470 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_471 (or _let_470 _let_469 _let_468))) (let ((_let_472 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_238 (= U U)))))) (let ((_let_473 (not _let_238))) (let ((_let_474 (_let_473))) (let ((_let_475 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_474)) :args _let_474)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_473) _let_238))) (REFL :args ((not _let_455))) :args _let_338)))) (let ((_let_476 (REFL :args (_let_455)))) (let ((_let_477 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_455 0)) (CONG _let_476 (MACRO_SR_PRED_INTRO :args ((= (not _let_454) _let_453))) :args _let_338)) :args ((or _let_453 _let_455))))) (let ((_let_478 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_455 1)) (CONG _let_476 (MACRO_SR_PRED_INTRO :args ((= (not _let_452) _let_451))) :args _let_338)) :args ((or _let_451 _let_455))))) (let ((_let_479 (CNF_OR_NEG :args (_let_455 2)))) (let ((_let_480 (tptp.c0_1 tptp.a844))) (let ((_let_481 (or _let_480 _let_94 _let_91))) (let ((_let_482 (not _let_480))) (let ((_let_483 (or _let_482 _let_448 _let_94))) (let ((_let_484 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))))) (let ((_let_485 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a855 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)))) (let ((_let_486 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a844 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_413)))) (let ((_let_487 (not _let_483))) (let ((_let_488 (not _let_481))) (let ((_let_489 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_483)) :args ((or _let_94 _let_448 _let_482 _let_487))) (REORDERING (CNF_OR_POS :args (_let_481)) :args ((or _let_94 _let_91 _let_480 _let_488))) :args ((or _let_94 _let_91 _let_448 _let_488 _let_487) false _let_480)))) (let ((_let_490 (_let_484))) (let ((_let_491 ((not (= (tptp.c0_1 V) false))))) (let ((_let_492 (ASSUME :args _let_490))) (let ((_let_493 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a844 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)))) (let ((_let_494 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 _let_257 _let_449 _let_484))))) (let ((_let_495 (REORDERING (ASSUME :args (_let_112)) :args ((or _let_103 _let_111))))) (let ((_let_496 (not _let_225))) (let ((_let_497 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_110 _let_107 _let_104 _let_496))) (REORDERING (ASSUME :args (_let_106)) :args ((or _let_103 _let_105))) (REORDERING (ASSUME :args (_let_109)) :args ((or _let_103 _let_108))) :args ((or _let_103 _let_110 _let_496) true _let_104 true _let_107)))) (let ((_let_498 (MACRO_RESOLUTION_TRUST _let_497 _let_495 _let_494 _let_493 _let_489 _let_486 _let_485 :args ((or _let_94 _let_91 _let_257 _let_449 _let_448 (not _let_224)) true _let_110 false tptp.hskp19 true _let_484 true _let_483 false _let_481 false _let_225)))) (let ((_let_499 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_500 (or _let_470 _let_499 _let_469))) (let ((_let_501 (not _let_499))) (let ((_let_502 (or _let_501 _let_469 _let_468))) (let ((_let_503 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_504 (or _let_452 _let_450 _let_503))) (let ((_let_505 (not _let_503))) (let ((_let_506 (or _let_454 _let_505 _let_450))) (let ((_let_507 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_508 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_509 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_510 (or _let_509 _let_508 _let_507))) (let ((_let_511 (not _let_269))) (let ((_let_512 (_let_511))) (let ((_let_513 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_514 (or _let_513 _let_509 _let_508))) (let ((_let_515 (not _let_513))) (let ((_let_516 (or _let_515 _let_508 _let_507))) (let ((_let_517 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_518 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_519 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_520 (not _let_519))) (let ((_let_521 (or _let_520 _let_518 _let_517))) (let ((_let_522 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_523 (not _let_522))) (let ((_let_524 (or _let_523 _let_518 _let_517))) (let ((_let_525 (or _let_523 _let_519 _let_518))) (let ((_let_526 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp22 tptp.hskp1 _let_257 _let_235))))) (let ((_let_527 (_let_235))) (let ((_let_528 ((not (= (tptp.c2_1 U) true))))) (let ((_let_529 (ASSUME :args _let_527))) (let ((_let_530 ((not (= (tptp.c1_1 U) false))))) (let ((_let_531 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_529 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_530)) :args _let_527)))) (let ((_let_532 (REORDERING (CNF_OR_POS :args (_let_504)) :args ((or _let_452 _let_450 _let_503 (not _let_504)))))) (let ((_let_533 (not _let_354))) (let ((_let_534 (_let_533))) (let ((_let_535 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_534)) :args _let_534)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_533) _let_354))) (REFL :args ((not _let_524))) :args _let_338)))) (let ((_let_536 (REORDERING (CNF_OR_POS :args (_let_506)) :args ((or _let_454 _let_450 _let_505 (not _let_506)))))) (let ((_let_537 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_524 0)) (CONG (REFL :args (_let_524)) (MACRO_SR_PRED_INTRO :args ((= (not _let_523) _let_522))) :args _let_338)) :args ((or _let_522 _let_524))))) (let ((_let_538 (CNF_OR_NEG :args (_let_524 1)))) (let ((_let_539 (CNF_OR_NEG :args (_let_524 2)))) (let ((_let_540 (_let_228))) (let ((_let_541 ((not (= (tptp.c0_1 U) false))))) (let ((_let_542 (ASSUME :args _let_540))) (let ((_let_543 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_542 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_541)) :args _let_540)))) (let ((_let_544 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_228 (= U U)))))) (let ((_let_545 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_257 _let_456 _let_459))))) (let ((_let_546 (_let_460))) (let ((_let_547 ((not (= (tptp.c0_1 U) false))))) (let ((_let_548 (ASSUME :args _let_546))) (let ((_let_549 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_460 (= U V)))))) (let ((_let_550 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)))) (let ((_let_551 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_529 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_528)) :args _let_527)))) (let ((_let_552 (not _let_500))) (let ((_let_553 (not _let_502))) (let ((_let_554 (CNF_OR_NEG :args (_let_471 1)))) (let ((_let_555 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_500)) :args ((or _let_470 _let_469 _let_499 _let_552))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_502)) :args ((or _let_469 _let_468 _let_501 _let_553))) (CNF_OR_NEG :args (_let_471 2)) _let_554 :args ((or _let_471 _let_501 _let_553) true _let_468 true _let_469)) _let_554 (CNF_OR_NEG :args (_let_471 0)) :args ((or _let_471 _let_553 _let_552) true _let_499 true _let_469 true _let_470)))) (let ((_let_556 (not _let_347))) (let ((_let_557 (_let_556))) (let ((_let_558 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_557)) :args _let_557)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_556) _let_347))) (REFL :args ((not _let_471))) :args _let_338)))) (let ((_let_559 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_381)) :args _let_380)))) (let ((_let_560 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_228 (= U V)))))) (let ((_let_561 (not _let_228))) (let ((_let_562 (_let_561))) (let ((_let_563 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_562)) :args _let_562)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_561) _let_228))) (REFL :args ((not _let_234))) :args _let_338)))) (let ((_let_564 (REFL :args (_let_234)))) (let ((_let_565 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_234 0)) (CONG _let_564 (MACRO_SR_PRED_INTRO :args ((= (not _let_233) _let_232))) :args _let_338)) :args ((or _let_232 _let_234))))) (let ((_let_566 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_234 1)) (CONG _let_564 (MACRO_SR_PRED_INTRO :args ((= (not _let_231) _let_230))) :args _let_338)) :args ((or _let_230 _let_234))))) (let ((_let_567 (CNF_OR_NEG :args (_let_234 2)))) (let ((_let_568 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)))) (let ((_let_569 (REORDERING (CNF_OR_POS :args (_let_465)) :args ((or _let_233 _let_229 _let_246 (not _let_465)))))) (let ((_let_570 (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_233 _let_231 _let_247 (not _let_248)))))) (let ((_let_571 (_let_245))) (let ((_let_572 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_571) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_571)))) (let ((_let_573 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= U U)))))) (let ((_let_574 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= U V)))))) (let ((_let_575 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 _let_257 _let_466 _let_458))))) (let ((_let_576 (ASSUME :args (_let_211)))) (let ((_let_577 (ASSUME :args (_let_209)))) (let ((_let_578 (ASSUME :args (_let_207)))) (let ((_let_579 (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_241 _let_240 _let_239 (not _let_242)))))) (let ((_let_580 (_let_243))) (let ((_let_581 ((not (= (tptp.c1_1 U) false))))) (let ((_let_582 (ASSUME :args _let_580))) (let ((_let_583 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (tptp.a865 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)))) (let ((_let_584 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 _let_257 _let_243 _let_244))))) (let ((_let_585 (REORDERING (ASSUME :args (_let_71)) :args ((or _let_62 _let_70))))) (let ((_let_586 (REORDERING (ASSUME :args (_let_68)) :args ((or _let_62 _let_67))))) (let ((_let_587 (REORDERING (ASSUME :args (_let_65)) :args ((or _let_62 _let_64))))) (let ((_let_588 (REORDERING (CNF_OR_POS :args (_let_467)) :args ((or _let_69 _let_66 _let_63 (not _let_467)))))) (let ((_let_589 (REORDERING (ASSUME :args (_let_37)) :args ((or _let_34 _let_36))))) (let ((_let_590 (not _let_262))) (let ((_let_591 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_35 _let_261 _let_260 _let_590))) (ASSUME :args (_let_157)) (ASSUME :args (_let_159)) :args ((or _let_34 _let_35 _let_590) false _let_156 false _let_158)))) (let ((_let_592 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_542 :args (tptp.a816 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_541)) :args _let_540)))) (let ((_let_593 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_228 (= U U)))))) (let ((_let_594 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (tptp.a856 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)))) (let ((_let_595 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)))) (let ((_let_596 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_597 (not _let_192))) (let ((_let_598 (not _let_194))) (let ((_let_599 (or _let_598 _let_597 _let_138))) (let ((_let_600 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))))) (let ((_let_601 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_602 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_603 (not _let_463))) (let ((_let_604 (or _let_603 _let_253 _let_251))) (let ((_let_605 (not _let_464))) (let ((_let_606 (not _let_462))) (let ((_let_607 (not _let_313))) (let ((_let_608 (REORDERING (ASSUME :args (_let_119)) :args ((or _let_113 _let_118))))) (let ((_let_609 (REORDERING (ASSUME :args (_let_116)) :args ((or _let_113 _let_115))))) (let ((_let_610 (REORDERING (CNF_OR_POS :args (_let_462)) :args ((or _let_117 _let_114 _let_461 _let_606))))) (let ((_let_611 (MACRO_RESOLUTION_TRUST _let_610 (REORDERING (CNF_OR_POS :args (_let_313)) :args ((or _let_117 _let_114 _let_312 _let_607))) _let_609 _let_608 :args ((or _let_113 _let_607 _let_606) false _let_312 true _let_114 true _let_117)))) (let ((_let_612 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_235 (= U V)))))) (let ((_let_613 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp23 _let_257 _let_457 _let_596))))) (let ((_let_614 (not _let_599))) (let ((_let_615 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_599)) :args ((or _let_138 _let_598 _let_597 _let_614))) (REORDERING (ASSUME :args (_let_140)) :args ((or _let_137 _let_139))) (ASSUME :args (_let_193)) (ASSUME :args (_let_195)) :args ((or _let_137 _let_614) true _let_138 false _let_192 false _let_194)))) (let ((_let_616 (_let_250))) (let ((_let_617 ((not (= (tptp.c0_1 U) false))))) (let ((_let_618 (ASSUME :args _let_616))) (let ((_let_619 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_618 :args (tptp.a862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_617)) :args _let_616)))) (let ((_let_620 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_250 (= U V)))))) (let ((_let_621 (not _let_250))) (let ((_let_622 (_let_621))) (let ((_let_623 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_622)) :args _let_622)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_621) _let_250))) (REFL :args ((not _let_256))) :args _let_338)))) (let ((_let_624 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 _let_257 _let_601 _let_600))))) (let ((_let_625 (REFL :args (_let_256)))) (let ((_let_626 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_256 0)) (CONG _let_625 (MACRO_SR_PRED_INTRO :args ((= (not _let_255) _let_254))) :args _let_338)) :args ((or _let_254 _let_256))))) (let ((_let_627 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_256 1)) (CONG _let_625 (MACRO_SR_PRED_INTRO :args ((= (not _let_253) _let_252))) :args _let_338)) :args ((or _let_252 _let_256))))) (let ((_let_628 (CNF_OR_NEG :args (_let_256 2)))) (let ((_let_629 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_602 (= U U)))))) (let ((_let_630 (REORDERING (CNF_OR_POS :args (_let_464)) :args ((or _let_255 _let_251 _let_463 _let_605))))) (let ((_let_631 (REORDERING (CNF_OR_POS :args (_let_604)) :args ((or _let_253 _let_251 _let_603 (not _let_604)))))) (let ((_let_632 (_let_602))) (let ((_let_633 (ASSUME :args _let_632))) (let ((_let_634 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_633 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_632)))) (let ((_let_635 (_let_238))) (let ((_let_636 ((not (= (tptp.c0_1 U) false))))) (let ((_let_637 (ASSUME :args _let_635))) (let ((_let_638 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (tptp.a815 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_636)) :args _let_635)))) (let ((_let_639 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (tptp.a842 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_636)) :args _let_635)))) (let ((_let_640 (not _let_296))) (let ((_let_641 (ASSUME :args (_let_181)))) (let ((_let_642 (ASSUME :args (_let_179)))) (let ((_let_643 (REORDERING (ASSUME :args (_let_89)) :args ((or _let_86 _let_88))))) (let ((_let_644 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_296)) :args ((or _let_87 _let_295 _let_294 _let_640))) _let_643 _let_642 _let_641 :args ((or _let_86 _let_640) true _let_87 false _let_178 false _let_180)))) (let ((_let_645 (ASSUME :args (_let_219)))) (let ((_let_646 (ASSUME :args (_let_197)))) (let ((_let_647 (REORDERING (ASSUME :args (_let_144)) :args ((or _let_141 _let_143))))) (let ((_let_648 (REORDERING (CNF_OR_POS :args (_let_300)) :args ((or _let_142 _let_299 _let_298 _let_439))))) (let ((_let_649 (REORDERING (CNF_OR_POS :args (_let_321)) :args ((or _let_142 _let_299 _let_297 (not _let_321)))))) (let ((_let_650 (_let_445))) (let ((_let_651 ((not (= (tptp.c1_1 V) false))))) (let ((_let_652 (ASSUME :args _let_650))) (let ((_let_653 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_529 :args (tptp.a878 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_530)) :args _let_527)))) (let ((_let_654 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_445 (= V V)))))) (let ((_let_655 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_445 (= V W)))))) (let ((_let_656 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V))))) (let ((_let_657 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_658 (not _let_174))) (let ((_let_659 (not _let_176))) (let ((_let_660 (or _let_659 _let_658 _let_83))) (let ((_let_661 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_228 (= U V)))))) (let ((_let_662 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_257 _let_228 _let_446))))) (let ((_let_663 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_664 (_let_657))) (let ((_let_665 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_664) :args (tptp.a839 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_664)))) (let ((_let_666 (not _let_660))) (let ((_let_667 (ASSUME :args (_let_177)))) (let ((_let_668 (ASSUME :args (_let_175)))) (let ((_let_669 (REORDERING (ASSUME :args (_let_85)) :args ((or _let_82 _let_84))))) (let ((_let_670 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_660)) :args ((or _let_83 _let_659 _let_658 _let_666))) _let_669 _let_668 _let_667 :args ((or _let_82 _let_666) true _let_83 false _let_174 false _let_176)))) (let ((_let_671 (not _let_184))) (let ((_let_672 (not _let_186))) (let ((_let_673 (or _let_672 _let_671 _let_98))) (let ((_let_674 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_675 (or _let_519 _let_518 _let_517))) (let ((_let_676 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_677 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_678 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_679 (not _let_678))) (let ((_let_680 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_681 (not _let_680))) (let ((_let_682 (or _let_681 _let_679 _let_677))) (let ((_let_683 (or _let_303 _let_302 _let_52))) (let ((_let_684 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_685 (not _let_684))) (let ((_let_686 (or _let_681 _let_685 _let_677))) (let ((_let_687 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_688 (or _let_685 _let_677 _let_678))) (let ((_let_689 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_690 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_691 (ASSUME :args (_let_187)))) (let ((_let_692 (ASSUME :args (_let_185)))) (let ((_let_693 (REORDERING (ASSUME :args (_let_100)) :args ((or _let_97 _let_99))))) (let ((_let_694 (not _let_673))) (let ((_let_695 ((not (= (tptp.c2_1 U) false))))) (let ((_let_696 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_602 (= U U)))))) (let ((_let_697 (tptp.c0_1 tptp.a848))) (let ((_let_698 (not _let_697))) (let ((_let_699 (or _let_698 _let_672 _let_98))) (let ((_let_700 (or _let_671 _let_697 _let_98))) (let ((_let_701 (or _let_523 _let_520 _let_518))) (let ((_let_702 (not _let_190))) (let ((_let_703 (or _let_702 _let_124 _let_121))) (let ((_let_704 (or _let_265 _let_56 _let_263))) (let ((_let_705 (or _let_265 _let_264 _let_59))) (let ((_let_706 (not _let_675))) (let ((_let_707 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 tptp.hskp13 _let_257 _let_355))))) (let ((_let_708 (ASSUME :args (_let_171)))) (let ((_let_709 (REORDERING (ASSUME :args (_let_61)) :args ((or _let_55 _let_60))))) (let ((_let_710 (REORDERING (ASSUME :args (_let_58)) :args ((or _let_55 _let_57))))) (let ((_let_711 (not _let_701))) (let ((_let_712 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_269 (= U V)))))) (let ((_let_713 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_269 (= U W)))))) (let ((_let_714 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_257 _let_674 _let_676))))) (let ((_let_715 (ASSUME :args (_let_169)))) (let ((_let_716 (ASSUME :args (_let_167)))) (let ((_let_717 (_let_291))) (let ((_let_718 ((not (= (tptp.c1_1 U) false))))) (let ((_let_719 (ASSUME :args _let_717))) (let ((_let_720 (not _let_443))) (let ((_let_721 (REORDERING (CNF_OR_POS :args (_let_443)) :args ((or _let_349 _let_307 _let_305 _let_720))))) (let ((_let_722 (not _let_291))) (let ((_let_723 (_let_722))) (let ((_let_724 (REFL :args (_let_686)))) (let ((_let_725 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_258 (= U U)))))) (let ((_let_726 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_727 (_let_690))) (let ((_let_728 ((not (= (tptp.c2_1 V) false))))) (let ((_let_729 (ASSUME :args _let_727))) (let ((_let_730 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_690 (= V V)))))) (let ((_let_731 (MACRO_RESOLUTION_TRUST _let_730 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)) _let_726 (REORDERING (CNF_OR_POS :args (_let_688)) :args ((or _let_685 _let_677 _let_678 (not _let_688)))) _let_725 (REORDERING (CNF_OR_POS :args (_let_682)) :args ((or _let_681 _let_677 _let_679 (not _let_682)))) _let_330 (CNF_OR_NEG :args (_let_686 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_686 1)) (CONG _let_724 (MACRO_SR_PRED_INTRO :args ((= (not _let_685) _let_684))) :args _let_338)) :args ((or _let_684 _let_686))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_686 0)) (CONG _let_724 (MACRO_SR_PRED_INTRO :args ((= (not _let_681) _let_680))) :args _let_338)) :args ((or _let_680 _let_686))) _let_392 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_723)) :args _let_723)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_722) _let_291))) (REFL :args ((not _let_686))) :args _let_338)) _let_721 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_719 :args (tptp.a827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_718)) :args _let_717)) _let_388 _let_387 _let_386 (REORDERING (CNF_OR_POS :args (_let_683)) :args ((or _let_52 _let_303 _let_302 (not _let_683)))) _let_384 (REORDERING (ASSUME :args (_let_54)) :args ((or _let_51 _let_53))) _let_716 _let_715 _let_432 _let_714 _let_438 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_404)) :args _let_403)) _let_713 _let_712 _let_379 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 tptp.hskp22 _let_257 _let_602))) _let_707 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) _let_644 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_703)) :args ((or _let_124 _let_121 _let_702 (not _let_703)))) (REORDERING (ASSUME :args (_let_123)) :args ((or _let_120 _let_122))) (REORDERING (ASSUME :args (_let_126)) :args ((or _let_120 _let_125))) (ASSUME :args (_let_191)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 tptp.hskp13 _let_257 _let_250))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_618 :args (tptp.a828 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_617)) :args _let_616)) (REORDERING (CNF_OR_POS :args (_let_705)) :args ((or _let_59 _let_265 _let_264 (not _let_705)))) (REORDERING (CNF_OR_POS :args (_let_704)) :args ((or _let_56 _let_265 _let_263 (not _let_704)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.a828 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.a857 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_535 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_675)) :args ((or _let_518 _let_517 _let_519 _let_706))) (REORDERING (CNF_OR_POS :args (_let_701)) :args ((or _let_523 _let_518 _let_520 _let_711))) _let_539 _let_538 _let_537 :args ((or _let_524 _let_711 _let_706) true _let_519 true _let_517 true _let_518 false _let_522)) _let_710 _let_709 _let_708 (REORDERING (ASSUME :args (_let_213)) :args ((or tptp.hskp13 tptp.hskp7 tptp.hskp5))) _let_408 _let_406 _let_707 _let_644 _let_639 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_636)) :args _let_635)) :args ((or tptp.hskp13 _let_257 _let_473 _let_706) true _let_121 true _let_124 false _let_190 false tptp.hskp21 true _let_250 true _let_705 false _let_263 false _let_704 false _let_703 false _let_354 false _let_524 true _let_56 true _let_59 false _let_170 false tptp.hskp7 true tptp.hskp5 false _let_358 false _let_355 true tptp.hskp14 false _let_296 false _let_701)) _let_639 _let_638 _let_472 _let_494 (MACRO_RESOLUTION_TRUST _let_410 _let_412 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (tptp.a848 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_361)) :args _let_360)) _let_486 (REORDERING (CNF_OR_POS :args (_let_700)) :args ((or _let_98 _let_671 _let_697 (not _let_700)))) _let_489 (REORDERING (CNF_OR_POS :args (_let_699)) :args ((or _let_98 _let_672 _let_698 (not _let_699)))) _let_493 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a848 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)) :args ((or _let_98 _let_94 _let_91 _let_257 _let_672 _let_671 _let_448 (not _let_484)) true _let_223 true _let_222 true _let_224 true _let_700 true _let_481 true _let_697 false _let_483 false _let_699)) _let_696 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_633 :args (tptp.a848 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_695)) :args _let_632)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_673)) :args ((or _let_98 _let_672 _let_671 _let_694))) _let_693 _let_692 _let_691 :args ((or _let_97 _let_694) true _let_98 false _let_184 false _let_186)) _let_693 _let_692 _let_691 (REORDERING (ASSUME :args (_let_212)) :args ((or tptp.hskp19 tptp.hskp16 tptp.hskp13))) :args ((or tptp.hskp19 tptp.hskp13 _let_94 _let_91 _let_257 _let_448) true _let_690 false _let_689 true _let_688 true _let_687 true _let_678 true _let_258 true _let_677 false _let_684 false _let_680 true _let_308 true _let_686 false _let_305 true _let_291 true _let_31 false _let_152 false _let_154 true _let_683 false tptp.hskp0 true _let_52 false _let_166 false _let_168 true _let_270 false tptp.hskp6 true _let_268 false _let_682 true _let_267 true _let_676 true _let_346 false tptp.hskp22 false _let_355 true _let_269 true tptp.hskp14 true _let_675 false _let_296 false _let_443 false _let_238 false _let_449 true _let_484 true _let_674 true _let_602 true _let_673 true _let_98 false _let_184 false _let_186 false tptp.hskp16)))) (let ((_let_732 (MACRO_RESOLUTION_TRUST _let_497 _let_485 _let_495 _let_412 _let_731 _let_410 _let_670 _let_363 _let_665 _let_369 _let_663 _let_662 _let_661 :args ((or _let_94 _let_91 _let_257 _let_228 _let_446 _let_447 _let_448) false _let_225 true _let_110 false _let_224 false tptp.hskp19 false _let_223 true tptp.hskp13 true _let_222 false _let_660 true _let_221 false _let_657 false tptp.hskp9 true _let_656)))) (let ((_let_733 (MACRO_RESOLUTION_TRUST _let_591 _let_589 :args ((or _let_34 _let_590) true _let_35)))) (let ((_let_734 (or _let_134 _let_131 _let_272))) (let ((_let_735 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a860 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)))) (let ((_let_736 (REORDERING (CNF_OR_POS :args (_let_734)) :args ((or _let_134 _let_131 _let_272 (not _let_734)))))) (let ((_let_737 (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_131 _let_128 _let_282 (not _let_283)))))) (let ((_let_738 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (tptp.a860 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)))) (let ((_let_739 (MACRO_RESOLUTION_TRUST _let_427 _let_425 _let_423 _let_422 _let_421 _let_420 _let_738 _let_737 _let_736 _let_735 _let_416 _let_412 _let_411 _let_410 :args ((or _let_134 _let_131 _let_128 _let_257 _let_222 _let_336) true _let_286 true _let_39 true _let_42 false _let_160 false tptp.hskp2 true _let_284 true _let_283 false _let_272 false _let_734 false _let_333 false _let_224 true _let_332 false _let_223)))) (let ((_let_740 (not _let_314))) (let ((_let_741 (or _let_740 _let_220 _let_76))) (let ((_let_742 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_743 (not _let_742))) (let ((_let_744 (or _let_743 _let_318 _let_317))) (let ((_let_745 (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c0_1 W))))) (let ((_let_746 (not _let_316))) (let ((_let_747 (or _let_746 _let_743 _let_317))) (let ((_let_748 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_749 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_750 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_751 (not _let_750))) (let ((_let_752 (or _let_751 _let_749 _let_748))) (let ((_let_753 (or _let_253 _let_251 _let_463))) (let ((_let_754 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_755 (not _let_319))) (let ((_let_756 (not _let_315))) (let ((_let_757 (not _let_304))) (let ((_let_758 (_let_359))) (let ((_let_759 (_let_745))) (let ((_let_760 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)))) (let ((_let_761 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)))) (let ((_let_762 (or (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_749 _let_748))) (let ((_let_763 (or _let_749 _let_748 _let_750))) (let ((_let_764 (not _let_301))) (let ((_let_765 (or _let_303 _let_302 _let_764))) (let ((_let_766 (not _let_752))) (let ((_let_767 (not _let_460))) (let ((_let_768 (_let_767))) (let ((_let_769 (not _let_765))) (let ((_let_770 (not _let_227))) (let ((_let_771 (not _let_237))) (let ((_let_772 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_69 _let_63 _let_226 _let_770))) (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_66 _let_63 _let_236 _let_771))) _let_587 _let_586 _let_585 :args ((or _let_62 _let_771 _let_770) true _let_226 true _let_63 true _let_66 true _let_69)))) (let ((_let_773 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_529 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_528)) :args _let_527)))) (let ((_let_774 (or _let_255 _let_603 _let_251))) (let ((_let_775 (not _let_753))) (let ((_let_776 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)))) (let ((_let_777 (REORDERING (CNF_OR_POS :args (_let_774)) :args ((or _let_255 _let_251 _let_603 (not _let_774)))))) (let ((_let_778 (REORDERING (CNF_OR_POS :args (_let_753)) :args ((or _let_253 _let_251 _let_463 _let_775))))) (let ((_let_779 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_529 :args (tptp.a842 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_530)) :args _let_527)))) (let ((_let_780 (or _let_233 _let_247 _let_229))) (let ((_let_781 (not _let_320))) (let ((_let_782 (not _let_235))) (let ((_let_783 (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_233 _let_229 _let_247 (not _let_780)))))) (let ((_let_784 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_636)) :args _let_635)))) (let ((_let_785 (MACRO_RESOLUTION_TRUST _let_579 _let_583 _let_578 _let_577 _let_576 _let_584 _let_575 _let_574 _let_573 _let_572 _let_570 _let_569 _let_568 _let_549 _let_567 _let_566 _let_565 _let_545 _let_563 _let_560 _let_544 _let_543 _let_536 _let_532 _let_772 _let_531 _let_773 :args ((or tptp.hskp9 _let_257 _let_782 _let_770 _let_454 _let_452 _let_450) false _let_242 false _let_205 false _let_208 false _let_210 false _let_243 false tptp.hskp29 true _let_244 true _let_466 true _let_245 true _let_248 false _let_246 false _let_465 false _let_460 true _let_229 false _let_230 false _let_232 false _let_459 true _let_234 true _let_458 true _let_456 true _let_228 true _let_506 false _let_503 true tptp.hskp8 false _let_504 false _let_237)))) (let ((_let_786 (MACRO_RESOLUTION_TRUST _let_586 _let_584 (REORDERING (CNF_OR_POS :args (_let_320)) :args ((or _let_69 _let_66 _let_226 _let_781))) _let_583 (REORDERING (CNF_OR_NEG :args (_let_227 1)) :args ((or _let_236 _let_227))) (REORDERING (CNF_OR_NEG :args (_let_227 0)) :args ((or _let_70 _let_227))) _let_579 _let_785 _let_578 _let_577 _let_576 _let_479 _let_478 _let_477 _let_575 _let_475 _let_574 _let_573 _let_784 _let_572 _let_783 _let_570 _let_569 _let_568 _let_549 _let_567 _let_566 _let_565 _let_545 _let_563 _let_560 _let_544 :args ((or tptp.hskp9 _let_257 _let_228 _let_782 _let_781) false tptp.hskp8 false _let_66 true _let_243 true _let_226 true _let_69 true _let_242 true _let_227 false _let_205 false _let_208 false _let_210 true _let_450 false _let_451 false _let_453 false tptp.hskp29 true _let_455 true _let_244 true _let_466 true _let_238 true _let_245 true _let_780 true _let_248 false _let_246 false _let_465 false _let_460 true _let_229 false _let_230 false _let_232 false _let_459 true _let_234 true _let_458 true _let_456)))) (let ((_let_787 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_542 :args (tptp.a842 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_541)) :args _let_540)))) (let ((_let_788 (not _let_323))) (let ((_let_789 (not _let_325))) (let ((_let_790 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_325)) :args ((or _let_87 _let_295 _let_324 _let_789))) (REORDERING (CNF_OR_POS :args (_let_323)) :args ((or _let_87 _let_294 _let_322 _let_788))) _let_643 _let_642 _let_641 :args ((or _let_86 _let_789 _let_788) false _let_322 true _let_87 false _let_178 false _let_180)))) (let ((_let_791 (MACRO_RESOLUTION_TRUST _let_649 _let_648 _let_647 _let_646 _let_645 _let_790 _let_787 _let_786 _let_779 _let_653 (MACRO_RESOLUTION_TRUST _let_631 _let_634 _let_630 _let_629 _let_628 _let_627 _let_626 _let_624 _let_623 _let_620 _let_611 _let_619 _let_595 _let_594 _let_615 _let_549 _let_613 _let_545 _let_593 _let_544 _let_592 _let_591 _let_589 _let_526 _let_612 :args ((or tptp.hskp22 tptp.hskp9 _let_257 _let_235 _let_607) false _let_604 false _let_463 false _let_602 true _let_251 false _let_252 false _let_254 false _let_601 true _let_256 true _let_600 true tptp.hskp20 true _let_250 false _let_464 false _let_462 true _let_599 false _let_460 false tptp.hskp23 false _let_459 true _let_457 true _let_456 true _let_228 true _let_262 true _let_35 false tptp.hskp1 true _let_596)) (MACRO_RESOLUTION_TRUST _let_592 _let_593 _let_591 _let_589 (MACRO_RESOLUTION_TRUST _let_778 _let_777 _let_628 _let_627 _let_626 _let_623 _let_776 _let_619 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_484 (= V V)))) _let_615 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) _let_613 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_235 (= U U)))) _let_612 :args ((or _let_257 _let_235 _let_457 _let_745 _let_775) true _let_463 true _let_251 false _let_252 false _let_254 true _let_256 false _let_774 true _let_250 false _let_484 true _let_599 false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))) false tptp.hskp23 true (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))) true _let_596)) _let_526 _let_773 _let_772 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 tptp.hskp8 _let_257 _let_754))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_355 (= U U)))) _let_406 _let_408 (REORDERING (ASSUME :args (_let_214)) :args ((or tptp.hskp25 tptp.hskp23 tptp.hskp5))) _let_615 _let_619 _let_620 _let_624 _let_611 _let_594 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (tptp.a827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_243 (= U U)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_304)) :args ((or _let_303 _let_302 _let_301 _let_757))) (REORDERING (CNF_OR_POS :args (_let_765)) :args ((or _let_303 _let_302 _let_764 _let_769))) _let_716 _let_715 :args ((or _let_51 _let_769 _let_757) true _let_301 false _let_166 false _let_168)) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_714 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_269 (= U W)))) _let_712 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) (REORDERING (CNF_OR_POS :args (_let_763)) :args ((or _let_749 _let_748 _let_750 (not _let_763)))) (REORDERING (CNF_OR_POS :args (_let_752)) :args ((or _let_749 _let_748 _let_751 _let_766))) (CNF_OR_NEG :args (_let_762 2)) (CNF_OR_NEG :args (_let_762 1)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_768)) :args _let_768)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_767) _let_460))) (REFL :args ((not _let_762))) :args _let_338)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_460 (= U V)))) :args ((or _let_257 _let_460 _let_674 _let_757 _let_766) false _let_243 true _let_765 false (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))) false tptp.hskp6 true (forall ((W $$unsorted)) (or (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) true _let_676 true _let_269 true _let_763 true _let_750 true _let_748 true _let_749 true _let_762 true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) _let_629 _let_696 _let_761 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_633 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_695)) :args _let_632)) _let_420 (REORDERING (CNF_OR_POS :args (_let_747)) :args ((or _let_743 _let_317 _let_746 (not _let_747)))) (MACRO_RESOLUTION_TRUST _let_427 _let_425 _let_423 _let_422 _let_421 :args ((or _let_38 _let_336 _let_426) true _let_286 true _let_39 true _let_42 false _let_160)) (REORDERING (CNF_OR_POS :args (_let_319)) :args ((or _let_318 _let_317 _let_316 _let_755))) _let_760 _let_416 (CNF_OR_NEG :args (_let_744 2)) (CNF_OR_NEG :args (_let_744 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_744 0)) (CONG (REFL :args (_let_744)) (MACRO_SR_PRED_INTRO :args ((= (not _let_743) _let_742))) :args _let_338)) :args ((or _let_742 _let_744))) _let_412 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_759) :args (tptp.a831 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 W) false))))) :args _let_759)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_758)) :args _let_758)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_359) _let_222))) (REFL :args ((not _let_744))) :args _let_338)) _let_411 _let_410 (REORDERING (CNF_OR_POS :args (_let_741)) :args ((or _let_76 _let_220 _let_740 (not _let_741)))) _let_363 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_315)) :args ((or _let_76 _let_73 _let_314 _let_756))) _let_368 _let_367 :args ((or _let_72 _let_314 _let_756) true _let_73 true _let_76)) _let_369 _let_367 _let_366 :args ((or tptp.hskp25 tptp.hskp22 tptp.hskp15 _let_72 _let_257 _let_757 _let_336 _let_607 _let_756 _let_755) false _let_228 true _let_262 true _let_35 false _let_457 false tptp.hskp1 true _let_235 true _let_237 false tptp.hskp8 true _let_754 true _let_355 true _let_358 false tptp.hskp5 true tptp.hskp23 false _let_599 false _let_250 false _let_600 true tptp.hskp20 false _let_462 false _let_460 true _let_601 true _let_674 false _let_753 false _let_752 true _let_602 false _let_284 true _let_747 true tptp.hskp2 false _let_316 false _let_227 false _let_333 true _let_317 true _let_318 false _let_742 false _let_224 true _let_745 true _let_744 true _let_332 false _let_223 true _let_741 true _let_222 false _let_314 true _let_221 true _let_76 false _let_172)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_721 _let_392 _let_388 _let_387 _let_386 _let_384 _let_379 _let_377 _let_373 _let_364 _let_739 _let_341 _let_432 _let_438 _let_437 _let_436 _let_435 _let_526 _let_733 _let_592 _let_732 _let_655 _let_654 _let_653 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (tptp.a878 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)) _let_649 (REORDERING (CNF_OR_POS :args (_let_444)) :args ((or _let_145 _let_299 _let_297 (not _let_444)))) _let_648 _let_647 (REORDERING (ASSUME :args (_let_147)) :args ((or _let_141 _let_146))) _let_646 _let_645 _let_644 _let_639 _let_638 (MACRO_RESOLUTION_TRUST _let_408 _let_406 _let_402 _let_401 _let_400 _let_396 _let_395 _let_394 _let_392 _let_390 _let_388 _let_387 _let_386 _let_384 _let_379 _let_377 _let_373 _let_341 (MACRO_RESOLUTION_TRUST _let_634 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_624 _let_623 _let_620 _let_619 _let_615 _let_613 _let_612 _let_551 _let_555 _let_611 _let_550 _let_431 :args ((or _let_257 _let_457 _let_339 _let_471 _let_606 _let_605) true _let_604 false _let_463 false _let_602 true _let_251 false _let_252 false _let_254 false _let_601 true _let_256 true _let_600 true _let_250 true _let_599 false tptp.hskp23 true _let_596 true _let_235 true _let_502 true tptp.hskp20 false _let_500 false _let_313)) _let_558 _let_385 _let_559 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_570 _let_569 _let_568 _let_595 _let_594 _let_549 _let_567 _let_566 _let_565 _let_545 _let_563 _let_560 _let_593 _let_544 _let_592 _let_591 _let_589 _let_369 (MACRO_RESOLUTION_TRUST _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_570 _let_569 _let_568 _let_549 _let_567 _let_566 _let_565 _let_545 _let_563 _let_560 _let_544 _let_543 _let_559 _let_536 _let_558 _let_532 _let_555 _let_531 _let_551 _let_526 _let_438 _let_550 _let_432 _let_341 _let_373 _let_377 (MACRO_RESOLUTION_TRUST _let_408 _let_402 _let_406 _let_385 _let_401 _let_400 _let_383 _let_396 _let_395 _let_378 _let_394 _let_392 _let_372 _let_390 _let_388 _let_387 _let_386 _let_344 _let_343 _let_342 _let_384 _let_341 (MACRO_RESOLUTION_TRUST _let_549 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)) _let_545 (REORDERING (CNF_OR_POS :args (_let_525)) :args ((or _let_523 _let_518 _let_519 (not _let_525)))) _let_544 (REORDERING (CNF_OR_POS :args (_let_521)) :args ((or _let_518 _let_517 _let_520 (not _let_521)))) _let_543 _let_539 _let_538 _let_537 _let_536 _let_535 _let_532 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_531 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_529 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_528)) :args _let_527)) (REORDERING (CNF_OR_POS :args (_let_516)) :args ((or _let_508 _let_507 _let_515 (not _let_516)))) _let_526 (REORDERING (CNF_OR_POS :args (_let_514)) :args ((or _let_509 _let_508 _let_513 (not _let_514)))) _let_438 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)) _let_432 :args ((or tptp.hskp9 tptp.hskp1 _let_257 _let_339 _let_509 _let_508 _let_507 _let_454 _let_452 _let_450) true _let_460 false _let_459 true _let_525 true _let_456 true _let_519 true _let_228 true _let_517 true _let_518 false _let_522 true _let_506 true _let_524 false _let_503 true _let_354 false _let_504 false _let_521 true _let_516 false _let_235 false _let_513 true tptp.hskp22 false _let_514 false _let_268)) (CNF_OR_NEG :args (_let_510 2)) (CNF_OR_NEG :args (_let_510 1)) (CNF_OR_NEG :args (_let_510 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_512)) :args _let_512)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_511) _let_269))) (REFL :args ((not _let_510))) :args _let_338)) _let_379 :args ((or tptp.hskp9 tptp.hskp1 _let_257 _let_269 _let_337 _let_454 _let_452 _let_450 _let_370) false tptp.hskp5 false _let_358 true _let_348 false _let_355 true _let_354 true _let_347 false _let_353 true _let_352 true _let_345 true _let_351 true _let_305 true _let_274 true _let_350 true _let_31 false _let_152 false _let_154 true _let_275 true _let_276 true _let_278 false tptp.hskp0 true _let_279 true _let_270 true _let_507 true _let_508 true _let_509 true _let_510 true _let_346)) _let_369 _let_364 _let_363 :args ((or tptp.hskp1 _let_257 _let_359 _let_337 _let_454 _let_452 _let_450) true _let_63 true _let_66 true _let_69 false tptp.hskp8 true _let_243 true _let_242 false _let_205 false _let_208 false _let_210 false tptp.hskp29 true _let_244 true _let_466 true _let_245 true _let_248 false _let_246 false _let_465 false _let_460 true _let_229 false _let_230 false _let_232 false _let_459 true _let_234 true _let_458 true _let_456 true _let_228 false _let_467 true _let_506 false _let_347 false _let_503 false _let_471 false _let_504 false _let_502 false _let_235 true tptp.hskp22 false _let_500 false _let_268 false _let_270 false _let_279 false _let_277 false _let_269 true tptp.hskp9 false _let_281 false _let_221)) _let_364 _let_363 _let_410 _let_412 _let_498 _let_479 _let_478 _let_477 _let_475 _let_472 :args ((or _let_94 _let_91 _let_257 _let_238 _let_448 _let_337) false _let_358 false tptp.hskp5 false _let_355 true _let_354 false _let_353 true _let_352 true _let_351 true _let_305 true _let_350 true _let_31 false _let_152 false _let_154 false tptp.hskp0 true _let_346 true _let_269 true _let_277 true _let_279 true _let_270 true _let_471 true _let_348 true _let_347 true _let_467 true _let_63 true _let_66 true _let_69 false tptp.hskp8 true _let_243 true _let_242 false _let_205 false _let_208 false _let_210 false tptp.hskp29 true _let_244 true _let_466 true _let_245 true _let_248 false _let_246 false _let_465 false _let_464 false _let_462 false _let_460 true _let_229 false _let_230 false _let_232 false _let_459 true _let_234 true _let_458 true _let_457 true _let_456 true _let_228 true _let_262 true _let_35 true tptp.hskp9 false tptp.hskp1 false _let_281 false _let_221 false _let_222 true _let_223 true _let_224 true _let_450 false _let_451 false _let_453 true _let_455 true _let_449)) :args ((or _let_94 _let_91 _let_257 _let_448 _let_439 _let_337 _let_336) true _let_305 true _let_31 false _let_152 false _let_154 false tptp.hskp0 true _let_346 true _let_269 true _let_277 false _let_281 false _let_222 true _let_279 true _let_270 true _let_268 true _let_128 true _let_131 true _let_134 false tptp.hskp22 true tptp.hskp1 false _let_262 false _let_228 true _let_447 true _let_446 true _let_235 true _let_445 true _let_321 true _let_444 true _let_297 true _let_142 true _let_145 false _let_196 false tptp.hskp24 true tptp.hskp14 false _let_296 false _let_443 false _let_238)) _let_442 _let_441 _let_440 :args ((or _let_90 _let_257 _let_439 _let_337 _let_336) true _let_91 true _let_94 false _let_182)) _let_438 _let_433 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)) _let_432 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (tptp.a831 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)) _let_431 (MACRO_RESOLUTION_TRUST _let_427 _let_425 _let_423 _let_422 _let_421 _let_420 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) (REORDERING (CNF_OR_POS :args (_let_335)) :args ((or _let_276 _let_275 _let_280 (not _let_335)))) (REORDERING (CNF_OR_POS :args (_let_334)) :args ((or _let_278 _let_276 _let_274 (not _let_334)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)) _let_416 _let_412 _let_411 _let_410 _let_409 _let_344 _let_343 _let_342 _let_341 :args ((or _let_257 _let_270 _let_337 _let_336) true _let_286 true _let_39 true _let_42 false _let_160 false tptp.hskp2 true _let_284 true _let_335 false _let_274 false _let_334 false _let_333 false _let_224 true _let_332 false _let_223 true _let_222 true _let_275 true _let_276 true _let_278 true _let_279)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_311)) :args ((or _let_149 _let_310 _let_309 _let_331))) (REORDERING (ASSUME :args (_let_151)) :args ((or _let_148 _let_150))) (ASSUME :args (_let_199)) (ASSUME :args (_let_201)) :args ((or _let_148 _let_331) true _let_149 false _let_198 false _let_200)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_329 :args (tptp.a892 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_328)) :args _let_327)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_329 :args (tptp.a817 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_327)) _let_330 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_329 :args (tptp.a827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_328)) :args _let_327)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_329 :args (tptp.a878 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_328)) :args _let_327)) :args ((or _let_257 _let_326) true _let_297 true _let_142 false _let_196 false tptp.hskp24 true tptp.hskp14 false _let_325 false _let_228 false _let_323 false _let_321 false _let_235 true tptp.hskp9 true tptp.hskp15 true tptp.hskp22 false _let_320 false _let_319 false _let_268 false _let_315 false _let_313 false _let_270 true tptp.hskp25 false _let_311 false _let_288 false _let_308 false _let_304 false _let_300)))) (let ((_let_792 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_258 (= U U)))))) (let ((_let_793 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_794 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_795 (not _let_794))) (let ((_let_796 (or (not (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) _let_795 _let_793))) (let ((_let_797 (or _let_226 _let_66 _let_63))) (let ((_let_798 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_799 (or _let_795 _let_798 _let_793))) (let ((_let_800 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_801 (not _let_798))) (let ((_let_802 (or _let_801 _let_795 _let_793))) (let ((_let_803 (_let_326))) (let ((_let_804 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_542 :args (tptp.a828 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_541)) :args _let_540)))) (let ((_let_805 (or _let_285 _let_42 _let_39))) (let ((_let_806 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 tptp.hskp1 _let_257 _let_259))))) (let ((_let_807 (not _let_805))) (let ((_let_808 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_805)) :args ((or _let_42 _let_39 _let_285 _let_807))) _let_423 _let_422 _let_421 :args ((or _let_38 _let_807) true _let_39 true _let_42 false _let_160)))) (let ((_let_809 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (tptp.a817 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)))) (let ((_let_810 (MACRO_RESOLUTION_TRUST _let_809 _let_730 _let_808 _let_726 _let_806 _let_725 _let_792 :args ((or tptp.hskp1 _let_257 _let_258 _let_267) false _let_690 true _let_805 false _let_689 false tptp.hskp2 true _let_687 true _let_259)))) (let ((_let_811 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 tptp.hskp7 _let_257 _let_258))))) (let ((_let_812 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (tptp.a828 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)))) (let ((_let_813 (REORDERING (CNF_OR_POS :args (_let_266)) :args ((or _let_56 _let_265 _let_264 (not _let_266)))))) (let ((_let_814 (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_59 _let_56 _let_263 (not _let_271)))))) (let ((_let_815 (MACRO_RESOLUTION_TRUST _let_814 _let_813 _let_812 _let_710 _let_709 _let_708 _let_713 _let_811 _let_810 _let_790 _let_733 _let_804 _let_787 _let_592 _let_791 :args ((or _let_257 _let_561 _let_788) true _let_263 false _let_271 true _let_56 true _let_59 false _let_170 false _let_269 false tptp.hskp7 false _let_267 true tptp.hskp14 true tptp.hskp1 false _let_266 false _let_325 false _let_262 true _let_258)))) (let ((_let_816 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_817 (_let_800))) (let ((_let_818 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_802)) :args ((or _let_795 _let_793 _let_801 (not _let_802)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_817) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_817)) (REORDERING (CNF_OR_POS :args (_let_799)) :args ((or _let_795 _let_793 _let_798 (not _let_799)))) (MACRO_RESOLUTION_TRUST _let_725 _let_726 _let_330 _let_730 _let_392 _let_809 _let_721 _let_808 _let_388 _let_387 _let_386 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_257 _let_800 _let_816))) _let_384 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_270 (= V V)))) :args ((or _let_257 _let_346 _let_270 _let_800 _let_267 _let_720) false _let_687 true _let_258 true _let_689 true _let_308 true _let_690 false _let_305 true _let_805 true _let_31 false _let_152 false _let_154 false tptp.hskp2 false tptp.hskp0 true _let_816)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)) (CNF_OR_NEG :args (_let_443 2)) _let_730 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_308 1)) (CONG (REFL :args _let_391) (MACRO_SR_PRED_INTRO :args ((= (not _let_306) _let_305))) :args _let_338)) :args ((or _let_305 _let_308))) _let_726 _let_409 _let_713 _let_379 _let_410 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) _let_412 (REORDERING (CNF_OR_POS :args (_let_797)) :args ((or _let_66 _let_63 _let_226 (not _let_797)))) _let_760 (REORDERING (CNF_OR_NEG :args (_let_227 2)) :args ((or _let_64 _let_227))) _let_785 _let_479 _let_478 _let_477 _let_475 _let_784 _let_783 _let_569 _let_568 _let_549 _let_433 (REORDERING (CNF_OR_NEG :args (_let_320 2)) :args ((or _let_67 _let_320))) (REORDERING (CNF_OR_NEG :args (_let_320 1)) :args ((or _let_236 _let_320))) _let_567 _let_565 _let_545 _let_786 _let_563 _let_544 _let_815 _let_779 _let_725 (CNF_OR_NEG :args (_let_796 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_796 1)) (CONG (REFL :args (_let_796)) (MACRO_SR_PRED_INTRO :args ((= (not _let_795) _let_794))) :args _let_338)) :args ((or _let_794 _let_796))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_803)) :args _let_803)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_326) _let_258))) (REFL :args ((not _let_796))) :args _let_338)) _let_791 :args ((or tptp.hskp9 _let_257 _let_782) false _let_802 false _let_798 false _let_800 false _let_799 false _let_443 false _let_690 false _let_305 false _let_689 true _let_308 true _let_267 true _let_346 false _let_222 true _let_269 true _let_223 true _let_797 true _let_224 true _let_63 true _let_227 true _let_450 false _let_451 false _let_453 true _let_455 true _let_238 true _let_780 false _let_246 false _let_465 false _let_460 true _let_270 true _let_66 true _let_226 true _let_229 false _let_232 false _let_459 true _let_320 true _let_234 true _let_456 true _let_228 false _let_323 true _let_687 true _let_793 false _let_794 true _let_796 true _let_258)))) (let ((_let_819 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_820 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_821 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_822 (not _let_821))) (let ((_let_823 (or _let_822 _let_820 _let_819))) (let ((_let_824 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_825 (or _let_822 _let_824 _let_820))) (let ((_let_826 (not _let_824))) (let ((_let_827 (or _let_826 _let_822 _let_820))) (let ((_let_828 (or _let_826 _let_820 _let_819))) (let ((_let_829 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_830 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_831 (not _let_188))) (let ((_let_832 (or _let_831 _let_312 _let_117))) (let ((_let_833 (_let_782))) (let ((_let_834 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_833)) :args _let_833)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_782) _let_235))) (REFL :args ((not _let_823))) :args _let_338)))) (let ((_let_835 (CNF_OR_NEG :args (_let_823 1)))) (let ((_let_836 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_823 0)) (CONG (REFL :args (_let_823)) (MACRO_SR_PRED_INTRO :args ((= (not _let_822) _let_821))) :args _let_338)) :args ((or _let_821 _let_823))))) (let ((_let_837 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)))) (let ((_let_838 (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_822 _let_820 _let_824 (not _let_825)))))) (let ((_let_839 (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_822 _let_820 _let_826 (not _let_827)))))) (let ((_let_840 ((not (= (tptp.c1_1 U) false))))) (let ((_let_841 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_840)) :args _let_635)))) (let ((_let_842 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U V)))))) (let ((_let_843 (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_42 _let_285 _let_287 (not _let_290)))))) (let ((_let_844 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_719 :args (tptp.a817 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_718)) :args _let_717)))) (let ((_let_845 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_291 (= U W)))))) (let ((_let_846 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_847 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_238 (= U U)))))) (let ((_let_848 (MACRO_RESOLUTION_TRUST _let_814 _let_813 _let_710 _let_709 _let_708 _let_811 _let_644 _let_639 _let_847 _let_846 _let_845 _let_844 _let_843 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_288 0)) (CONG (REFL :args _let_424) (MACRO_SR_PRED_INTRO :args ((= (not _let_287) _let_286))) :args _let_338)) :args ((or _let_286 _let_288))) _let_842 _let_739 _let_738 _let_364 _let_737 _let_373 (REORDERING (CNF_OR_POS :args (_let_273)) :args ((or _let_131 _let_128 _let_272 (not _let_273)))) _let_341 _let_377 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (tptp.a860 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) _let_812 _let_432 _let_422 _let_421 _let_713 _let_438 _let_437 _let_436 _let_435 _let_806 _let_810 _let_526 _let_733 _let_804 _let_592 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_832)) :args ((or _let_117 _let_831 _let_312 (not _let_832)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (tptp.a856 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_361)) :args _let_360)) _let_610 _let_410 _let_609 _let_608 (ASSUME :args (_let_189)) _let_412 _let_624 _let_498 _let_629 _let_442 _let_441 _let_440 _let_634 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_257 _let_830 _let_829))) _let_631 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_354 (= U V)))) _let_472 _let_630 _let_572 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_397)) _let_841 _let_628 _let_627 _let_626 _let_570 (REORDERING (CNF_OR_POS :args (_let_828)) :args ((or _let_820 _let_819 _let_826 (not _let_828)))) _let_839 _let_623 _let_620 _let_569 _let_838 _let_619 _let_568 _let_595 _let_594 _let_837 _let_615 _let_549 _let_654 _let_567 _let_566 _let_565 _let_613 _let_545 _let_662 _let_563 _let_593 _let_544 _let_612 _let_836 _let_835 (CNF_OR_NEG :args (_let_823 2)) _let_834 _let_818 :args ((or tptp.hskp9 _let_257 _let_228) false _let_832 true _let_312 false _let_222 true _let_114 true _let_117 false _let_188 true _let_223 false tptp.hskp20 true _let_224 true _let_601 true _let_91 true _let_94 false _let_182 true _let_602 false tptp.hskp15 true _let_604 true _let_830 true _let_829 true _let_449 false _let_463 true _let_245 true _let_354 true _let_238 true _let_251 false _let_252 false _let_254 true _let_248 true _let_828 true _let_827 true _let_256 true _let_600 false _let_246 false _let_824 true _let_250 false _let_465 false _let_464 false _let_462 false _let_825 true _let_599 false _let_460 false _let_445 true _let_229 false _let_230 false _let_232 false tptp.hskp23 false _let_459 false _let_446 true _let_234 true _let_457 true _let_456 true _let_596 false _let_821 true _let_820 true _let_819 true _let_823 true _let_235)) _let_818 _let_792 _let_791 :args ((or tptp.hskp9 _let_257) true _let_263 true _let_56 true _let_59 false _let_170 false tptp.hskp7 true tptp.hskp14 false _let_296 false _let_238 false _let_293 true _let_292 true _let_291 true _let_290 false _let_286 true _let_289 true _let_288 true _let_284 true _let_222 true _let_283 true _let_281 false _let_272 true _let_279 false _let_277 false _let_273 false _let_271 true _let_270 true _let_42 false _let_160 false _let_269 true _let_268 true _let_128 true _let_131 true _let_134 false tptp.hskp2 false _let_267 false tptp.hskp22 true tptp.hskp1 false _let_266 false _let_262 false _let_228 true _let_235 true _let_259 true _let_258)))) (let ((_let_849 (MACRO_RESOLUTION_TRUST _let_814 _let_813 _let_710 _let_709 _let_708 _let_811 _let_644 _let_639 _let_847 _let_846 _let_845 _let_842 _let_844 _let_738 _let_843 _let_737 _let_427 _let_812 _let_736 _let_423 _let_422 _let_421 _let_713 _let_437 _let_436 _let_435 _let_806 _let_810 _let_526 _let_779 _let_733 _let_815 _let_804 _let_592 _let_792 _let_735 _let_416 _let_412 _let_410 _let_363 _let_369 _let_848 _let_791 :args ((or _let_257 _let_561) true _let_263 true _let_56 true _let_59 false _let_170 false tptp.hskp7 true tptp.hskp14 false _let_296 false _let_238 false _let_293 true _let_292 true _let_289 true _let_291 true _let_284 true _let_290 true _let_283 false _let_286 false _let_271 false _let_272 true _let_39 true _let_42 false _let_160 false _let_269 true _let_128 true _let_131 true _let_134 false tptp.hskp2 false _let_267 false tptp.hskp22 true _let_235 true tptp.hskp1 true _let_323 false _let_266 false _let_262 true _let_259 false _let_734 false _let_333 false _let_224 false _let_223 true _let_222 true _let_221 false tptp.hskp9 true _let_258)))) (let ((_let_850 (MACRO_RESOLUTION_TRUST _let_497 _let_495 :args ((or _let_103 _let_496) true _let_110)))) (let ((_let_851 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_852 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_258 (= U U)))))) (let ((_let_853 (MACRO_RESOLUTION_TRUST _let_844 _let_843 _let_427 _let_845 _let_423 _let_422 _let_421 _let_846 _let_420 _let_842 _let_761 _let_778 _let_777 _let_776 _let_494 _let_847 _let_472 _let_850 _let_485 _let_411 _let_416 _let_412 _let_410 _let_363 _let_369 _let_848 :args ((or _let_257 _let_238 _let_255 _let_253 _let_251) true _let_290 false _let_286 false _let_291 true _let_39 true _let_42 false _let_160 false _let_292 false tptp.hskp2 true _let_289 true _let_284 true _let_753 true _let_463 false _let_774 false _let_484 true _let_293 true _let_449 true tptp.hskp19 false _let_225 true _let_332 false _let_333 false _let_224 false _let_223 true _let_222 true _let_221 false tptp.hskp9)))) (let ((_let_854 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 tptp.hskp15 _let_257 _let_851))))) (let ((_let_855 (tptp.c0_1 tptp.a839))) (let ((_let_856 (not _let_855))) (let ((_let_857 (or _let_856 _let_659 _let_83))) (let ((_let_858 (or _let_856 _let_659 _let_658))) (let ((_let_859 (or _let_659 _let_855 _let_83))) (let ((_let_860 (not _let_858))) (let ((_let_861 (_let_858))) (let ((_let_862 (MACRO_RESOLUTION_TRUST _let_853 _let_628 _let_627 _let_626 _let_623 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_618 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_617)) :args _let_616)) (REORDERING (CNF_OR_POS :args (_let_249)) :args ((or _let_233 _let_231 _let_246 (not _let_249)))) _let_570 _let_572 _let_574 _let_584 _let_583 _let_579 _let_578 _let_577 _let_576 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 tptp.hskp19 _let_257 _let_238))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_858 0)) (CONG (REFL :args _let_861) (MACRO_SR_PRED_INTRO :args ((= (not _let_856) _let_855))) :args _let_338)) :args ((or _let_855 _let_858))) (REORDERING (CNF_OR_POS :args (_let_857)) :args ((or _let_83 _let_659 _let_856 (not _let_857)))) (MACRO_RESOLUTION_TRUST _let_655 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (tptp.a839 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)) _let_663 (REORDERING (CNF_OR_POS :args (_let_859)) :args ((or _let_83 _let_659 _let_855 (not _let_859)))) _let_665 (REORDERING (CNF_OR_POS :args _let_861) :args ((or _let_659 _let_658 _let_856 _let_860))) _let_670 _let_669 _let_668 _let_667 :args ((or _let_82 _let_257 _let_656 _let_860) true _let_445 false _let_447 true _let_859 true _let_657 true _let_855 true _let_660 true _let_83 false _let_174 false _let_176)) _let_669 _let_667 _let_731 _let_442 _let_441 _let_440 _let_854 _let_644 _let_639 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (tptp.a839 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_840)) :args _let_635)) _let_852 _let_791 _let_850 _let_485 _let_412 _let_410 _let_363 _let_369 _let_848 _let_661 _let_849 :args ((or _let_257 _let_473) true _let_855 true _let_858 true _let_83 false _let_176 false tptp.hskp13 true _let_91 true _let_94 false _let_182 false tptp.hskp15 true tptp.hskp14 false _let_296 false _let_857 true _let_851 true _let_258 true tptp.hskp19 false _let_225 false _let_224 false _let_223 true _let_222 true _let_221 false tptp.hskp9 true _let_656 true _let_228)) _let_772 _let_773 (MACRO_RESOLUTION_TRUST _let_732 _let_655 _let_654 _let_442 _let_441 _let_440 _let_837 _let_854 _let_838 _let_644 _let_839 _let_639 _let_841 _let_853 _let_628 _let_627 _let_626 _let_623 _let_619 _let_615 _let_835 _let_836 _let_613 _let_834 _let_612 _let_593 _let_852 _let_791 _let_849 :args ((or _let_257 _let_235) true _let_447 true _let_446 true _let_91 true _let_94 false _let_182 true _let_445 false tptp.hskp15 true _let_825 true tptp.hskp14 true _let_824 false _let_296 false _let_827 false _let_238 true _let_251 false _let_252 false _let_254 true _let_256 true _let_250 true _let_599 true _let_820 false _let_821 false tptp.hskp23 true _let_823 true _let_596 true _let_457 true _let_851 true _let_258 true _let_228)) _let_850 _let_566 _let_565 _let_563 _let_849 _let_760 _let_485 _let_412 _let_410 _let_363 _let_369 _let_848 :args (_let_257 true _let_251 false _let_252 false _let_254 true _let_256 true _let_250 true _let_249 true _let_246 false _let_248 false _let_245 false _let_244 true _let_243 true _let_242 false _let_205 false _let_208 false _let_210 false tptp.hskp29 true _let_238 true tptp.hskp8 false _let_237 false _let_235 true tptp.hskp19 false _let_230 false _let_232 true _let_234 true _let_228 false _let_227 false _let_225 false _let_224 false _let_223 true _let_222 true _let_221 false tptp.hskp9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_215)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_217)) :args ((or tptp.ndr1_0 _let_102))) _let_862 :args (_let_102 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_218)) :args ((or tptp.ndr1_0 _let_203))) _let_862 :args (_let_203 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_216)) :args ((or tptp.ndr1_0 _let_72))) _let_862 :args (_let_72 true tptp.ndr1_0)) :args (false true tptp.hskp18 true tptp.hskp27 true tptp.hskp9)) :args (_let_219 (or _let_206 tptp.ndr1_0) (or _let_204 tptp.ndr1_0) _let_218 (or _let_202 tptp.ndr1_0) (or _let_148 tptp.ndr1_0) (or _let_141 tptp.ndr1_0) (or _let_137 tptp.ndr1_0) (or _let_127 tptp.ndr1_0) (or _let_120 tptp.ndr1_0) (or _let_113 tptp.ndr1_0) (or _let_103 tptp.ndr1_0) _let_217 (or _let_101 tptp.ndr1_0) (or _let_97 tptp.ndr1_0) (or _let_90 tptp.ndr1_0) (or _let_86 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_81 tptp.ndr1_0) (or _let_80 tptp.ndr1_0) (or _let_79 tptp.ndr1_0) _let_216 (or _let_62 tptp.ndr1_0) (or _let_55 tptp.ndr1_0) (or _let_51 tptp.ndr1_0) (or _let_47 tptp.ndr1_0) (or _let_46 tptp.ndr1_0) (or _let_45 tptp.ndr1_0) (or _let_38 tptp.ndr1_0) (or _let_34 tptp.ndr1_0) (or _let_30 tptp.ndr1_0) (or tptp.hskp28 tptp.hskp24 tptp.hskp20) (or tptp.hskp14 tptp.hskp12 tptp.hskp11) _let_215 (or tptp.hskp27 tptp.hskp17 tptp.hskp15) _let_214 _let_213 _let_212 _let_211 _let_209 _let_207 (or _let_204 (tptp.c0_1 tptp.a833)) (or _let_204 (tptp.c1_1 tptp.a833)) (or _let_204 (tptp.c3_1 tptp.a833)) (or _let_203 (tptp.c0_1 tptp.a826)) (or _let_203 (tptp.c2_1 tptp.a826)) (or _let_203 (tptp.c3_1 tptp.a826)) (or _let_202 (tptp.c0_1 tptp.a818)) (or _let_202 (tptp.c1_1 tptp.a818)) (or _let_202 (tptp.c2_1 tptp.a818)) _let_201 _let_199 _let_197 _let_195 _let_193 _let_191 _let_189 (or _let_102 (tptp.c1_1 tptp.a854)) (or _let_101 (tptp.c1_1 tptp.a852)) _let_187 _let_185 _let_183 _let_181 _let_179 _let_177 _let_175 (or _let_81 (tptp.c0_1 tptp.a838)) (or _let_81 (tptp.c2_1 tptp.a838)) (or _let_80 (tptp.c2_1 tptp.a835)) (or _let_80 (tptp.c3_1 tptp.a835)) (or _let_79 (tptp.c0_1 tptp.a834)) (or _let_79 (tptp.c2_1 tptp.a834)) _let_173 _let_171 _let_169 _let_167 _let_165 _let_163 (or _let_46 (tptp.c2_1 tptp.a821)) (or _let_45 (tptp.c0_1 tptp.a820)) _let_161 _let_159 _let_157 _let_155 _let_153 _let_151 _let_147 _let_144 _let_140 _let_136 _let_133 _let_130 _let_126 _let_123 _let_119 _let_116 _let_112 _let_109 _let_106 (or (not (tptp.c0_1 tptp.a854)) _let_102) (or (not (tptp.c2_1 tptp.a854)) _let_102) (or (not (tptp.c2_1 tptp.a852)) _let_101) (or (not (tptp.c3_1 tptp.a852)) _let_101) _let_100 _let_96 _let_93 _let_89 _let_85 (or (not (tptp.c3_1 tptp.a838)) _let_81) (or (not (tptp.c0_1 tptp.a835)) _let_80) (or (not (tptp.c1_1 tptp.a834)) _let_79) _let_78 _let_75 _let_71 _let_68 _let_65 _let_61 _let_58 _let_54 _let_50 (or (not (tptp.c0_1 tptp.a821)) _let_46) (or (not (tptp.c1_1 tptp.a821)) _let_46) (or (not (tptp.c1_1 tptp.a820)) _let_45) (or (not (tptp.c3_1 tptp.a820)) _let_45) _let_44 _let_41 _let_37 _let_33 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp27)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp26 tptp.hskp0)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp6)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp7 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp3 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp26 tptp.hskp28)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp10 tptp.hskp11)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp12 tptp.hskp13)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp12 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp18)) _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp23 tptp.hskp3)) _let_20 _let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp4)) _let_18 _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp8)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp2)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp3)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp26)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp6)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp16)) _let_13 _let_12 _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp3)) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_2 _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.71 )
% 0.20/0.71 % SZS output end Proof for SYN452-1
% 0.20/0.71 % cvc5---1.0.5 exiting
% 0.20/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------