TSTP Solution File: SYN465-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN465-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 02:03:25 EDT 2023

% Result   : Unsatisfiable 0.52s 0.71s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN465-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 18:49:35 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.93KLWIfjQi/cvc5---1.0.5_5585.p...
% 0.21/0.53  ------- get file name : TPTP file name is SYN465-1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5585.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.52/0.71  % SZS status Unsatisfiable for SYN465-1
% 0.52/0.71  % SZS output start Proof for SYN465-1
% 0.52/0.73  (
% 0.52/0.73  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (not (tptp.c3_1 W)) (tptp.c1_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 W)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) tptp.hskp21)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp12)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp15)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp5)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp8)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp5)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp3)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp21)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp13)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp6)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp4)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp14 tptp.hskp24)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp12 tptp.hskp26)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp28 tptp.hskp7)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp8 tptp.hskp21)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp20 tptp.hskp4)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp16)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp30 tptp.hskp23)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp16)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp14)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp30 tptp.hskp11)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp7 tptp.hskp8)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp12)))) (let ((_let_33 (not tptp.hskp0))) (let ((_let_34 (tptp.c2_1 tptp.a1))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (tptp.c1_1 tptp.a1))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_33))) (let ((_let_40 (not tptp.hskp1))) (let ((_let_41 (not tptp.hskp2))) (let ((_let_42 (tptp.c1_1 tptp.a5))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (tptp.c0_1 tptp.a5))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (not tptp.hskp3))) (let ((_let_49 (tptp.c2_1 tptp.a6))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48))) (let ((_let_52 (not tptp.hskp4))) (let ((_let_53 (tptp.c0_1 tptp.a7))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (not tptp.hskp5))) (let ((_let_57 (tptp.c2_1 tptp.a9))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (tptp.c1_1 tptp.a9))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_56))) (let ((_let_63 (tptp.c0_1 tptp.a9))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_56))) (let ((_let_66 (not tptp.hskp6))) (let ((_let_67 (tptp.c3_1 tptp.a10))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66))) (let ((_let_70 (tptp.c1_1 tptp.a10))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_66))) (let ((_let_73 (not tptp.hskp7))) (let ((_let_74 (tptp.c3_1 tptp.a12))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73))) (let ((_let_77 (not tptp.hskp8))) (let ((_let_78 (tptp.c0_1 tptp.a13))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (not tptp.hskp9))) (let ((_let_82 (not tptp.hskp10))) (let ((_let_83 (tptp.c2_1 tptp.a17))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (tptp.c0_1 tptp.a17))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_82))) (let ((_let_89 (not tptp.hskp11))) (let ((_let_90 (tptp.c2_1 tptp.a21))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (not tptp.hskp12))) (let ((_let_94 (tptp.c2_1 tptp.a24))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93))) (let ((_let_97 (not tptp.hskp13))) (let ((_let_98 (tptp.c1_1 tptp.a26))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (tptp.c0_1 tptp.a26))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_97))) (let ((_let_104 (not tptp.hskp14))) (let ((_let_105 (tptp.c0_1 tptp.a28))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104))) (let ((_let_108 (not tptp.hskp15))) (let ((_let_109 (tptp.c3_1 tptp.a29))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108))) (let ((_let_112 (tptp.c2_1 tptp.a29))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_108))) (let ((_let_115 (not tptp.hskp16))) (let ((_let_116 (tptp.c1_1 tptp.a30))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115))) (let ((_let_119 (not tptp.hskp17))) (let ((_let_120 (not tptp.hskp18))) (let ((_let_121 (not tptp.hskp19))) (let ((_let_122 (not tptp.hskp20))) (let ((_let_123 (tptp.c2_1 tptp.a36))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122))) (let ((_let_126 (not tptp.hskp21))) (let ((_let_127 (tptp.c3_1 tptp.a39))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126))) (let ((_let_130 (tptp.c0_1 tptp.a39))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_126))) (let ((_let_133 (not tptp.hskp22))) (let ((_let_134 (not tptp.hskp23))) (let ((_let_135 (tptp.c3_1 tptp.a42))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_134))) (let ((_let_138 (tptp.c1_1 tptp.a42))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_134))) (let ((_let_141 (not tptp.hskp24))) (let ((_let_142 (tptp.c2_1 tptp.a52))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_141))) (let ((_let_145 (tptp.c0_1 tptp.a52))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_141))) (let ((_let_148 (not tptp.hskp25))) (let ((_let_149 (not tptp.hskp26))) (let ((_let_150 (tptp.c3_1 tptp.a57))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_151 _let_149))) (let ((_let_153 (tptp.c1_1 tptp.a57))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_149))) (let ((_let_156 (tptp.c0_1 tptp.a57))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_157 _let_149))) (let ((_let_159 (not tptp.hskp27))) (let ((_let_160 (tptp.c2_1 tptp.a65))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_159))) (let ((_let_163 (tptp.c1_1 tptp.a65))) (let ((_let_164 (not _let_163))) (let ((_let_165 (or _let_164 _let_159))) (let ((_let_166 (tptp.c0_1 tptp.a1))) (let ((_let_167 (or _let_33 _let_166))) (let ((_let_168 (tptp.c2_1 tptp.a5))) (let ((_let_169 (or _let_41 _let_168))) (let ((_let_170 (tptp.c3_1 tptp.a6))) (let ((_let_171 (or _let_48 _let_170))) (let ((_let_172 (tptp.c0_1 tptp.a6))) (let ((_let_173 (or _let_48 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(let ((_let_199 (or _let_104 _let_198))) (let ((_let_200 (tptp.c2_1 tptp.a28))) (let ((_let_201 (or _let_104 _let_200))) (let ((_let_202 (tptp.c1_1 tptp.a29))) (let ((_let_203 (or _let_108 _let_202))) (let ((_let_204 (tptp.c3_1 tptp.a30))) (let ((_let_205 (or _let_115 _let_204))) (let ((_let_206 (tptp.c2_1 tptp.a30))) (let ((_let_207 (or _let_115 _let_206))) (let ((_let_208 (tptp.c1_1 tptp.a36))) (let ((_let_209 (or _let_122 _let_208))) (let ((_let_210 (tptp.c0_1 tptp.a36))) (let ((_let_211 (or _let_122 _let_210))) (let ((_let_212 (tptp.c2_1 tptp.a39))) (let ((_let_213 (or _let_126 _let_212))) (let ((_let_214 (tptp.c0_1 tptp.a42))) (let ((_let_215 (or _let_134 _let_214))) (let ((_let_216 (tptp.c3_1 tptp.a52))) (let ((_let_217 (or _let_141 _let_216))) (let ((_let_218 (tptp.c3_1 tptp.a65))) (let ((_let_219 (or _let_159 _let_218))) (let ((_let_220 (not tptp.hskp28))) (let ((_let_221 (tptp.c1_1 tptp.a2))) (let ((_let_222 (or _let_220 _let_221))) (let ((_let_223 (tptp.c0_1 tptp.a2))) (let 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(tptp.c1_1 tptp.a21))) (let ((_let_609 (not _let_608))) (let ((_let_610 (not _let_190))) (let ((_let_611 (or _let_610 _let_609 _let_90))) (let ((_let_612 (or _let_521 _let_519 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))) (let ((_let_613 (not _let_166))) (let ((_let_614 (or _let_613 _let_37 _let_34))) (let ((_let_615 (or _let_610 _let_608 _let_90))) (let ((_let_616 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c1_1 U))))) (let ((_let_617 (or _let_251 _let_254 _let_249))) (let ((_let_618 (not _let_522))) (let ((_let_619 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_620 (not _let_202))) (let ((_let_621 (or _let_620 _let_112 _let_109))) (let ((_let_622 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_344 (= U U)))))) (let ((_let_623 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 tptp.hskp15 _let_398 _let_619))))) (let ((_let_624 (not _let_621))) (let ((_let_625 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_621)) :args ((or _let_112 _let_109 _let_620 _let_624))) (REORDERING (ASSUME :args (_let_111)) :args ((or _let_108 _let_110))) (REORDERING (ASSUME :args (_let_114)) :args ((or _let_108 _let_113))) (ASSUME :args (_let_203)) :args ((or _let_108 _let_624) true _let_109 true _let_112 false _let_202)))) (let ((_let_626 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_557)) :args _let_556)))) (let ((_let_627 ((not (= (tptp.c0_1 U) false))))) (let ((_let_628 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_461 :args (tptp.a6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_459)))) (let ((_let_629 (not _let_605))) (let ((_let_630 (MACRO_RESOLUTION_TRUST _let_566 (REORDERING (CNF_OR_POS :args (_let_605)) :args ((or _let_534 _let_508 _let_509 _let_629))) _let_565 _let_564 _let_563 :args ((or _let_48 _let_629 _let_562) false _let_509 true _let_49 false _let_170 false _let_172)))) (let ((_let_631 (not _let_607))) (let ((_let_632 (not _let_537))) (let ((_let_633 (_let_632))) (let ((_let_634 (not _let_614))) (let ((_let_635 (_let_616))) (let ((_let_636 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_637 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)))))) (let ((_let_638 (not _let_249))) (let ((_let_639 (or _let_251 _let_638 _let_250))) (let ((_let_640 (not _let_617))) (let ((_let_641 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_256 (= U U)))))) (let ((_let_642 (_let_263))) (let ((_let_643 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_642)) :args _let_642)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_263) _let_256))) (REFL :args (_let_257)) :args _let_380)))) (let ((_let_644 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 _let_398 _let_636 _let_637))))) (let ((_let_645 (REFL :args (_let_255)))) (let ((_let_646 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_255 0)) (CONG _let_645 (MACRO_SR_PRED_INTRO :args ((= (not _let_251) _let_247))) :args _let_380)) :args ((or _let_247 _let_255))))) (let ((_let_647 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_255 1)) (CONG _let_645 (MACRO_SR_PRED_INTRO :args ((= (not _let_254) _let_253))) :args _let_380)) :args ((or _let_253 _let_255))))) (let ((_let_648 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_255 2)) (CONG _let_645 (MACRO_SR_PRED_INTRO :args ((= (not _let_250) _let_248))) :args _let_380)) :args ((or _let_248 _let_255))))) (let ((_let_649 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U V)))))) (let ((_let_650 (_let_268))) (let ((_let_651 ((not (= (tptp.c0_1 U) false))))) (let ((_let_652 (ASSUME :args _let_650))) (let ((_let_653 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_639)) :args ((or _let_251 _let_250 _let_638 (not _let_639)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)) (REORDERING (CNF_OR_POS :args (_let_617)) :args ((or _let_251 _let_254 _let_249 _let_640))) _let_649 _let_648 _let_647 _let_646 _let_644 _let_397 _let_643 _let_641 :args ((or tptp.hskp21 _let_256 _let_640) false _let_639 false _let_249 false _let_268 false _let_248 false _let_253 false _let_247 false _let_637 false tptp.ndr1_0 true _let_255 true _let_636)))) (let ((_let_654 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_615)) :args ((or _let_90 _let_610 _let_608 (not _let_615)))) (REORDERING (CNF_OR_POS :args (_let_611)) :args ((or _let_90 _let_610 _let_609 (not _let_611)))) (REORDERING (ASSUME :args (_let_92)) :args ((or _let_89 _let_91))) (ASSUME :args (_let_191)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp30 tptp.hskp11 _let_398 _let_334))) _let_397 (MACRO_RESOLUTION_TRUST _let_594 _let_592 _let_591 _let_590 :args ((or _let_227 _let_593) false _let_226 false _let_229 false _let_231)) _let_582 _let_653 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_635) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_635)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 _let_398 _let_616 _let_353))) _let_397 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_614)) :args ((or _let_37 _let_34 _let_613 _let_634))) (REORDERING (ASSUME :args (_let_36)) :args ((or _let_33 _let_35))) (REORDERING (ASSUME :args (_let_39)) :args ((or _let_33 _let_38))) (ASSUME :args (_let_167)) :args ((or _let_33 _let_634) true _let_34 true _let_37 false _let_166)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_573 :args (tptp.a21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_572)) :args _let_571)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_573 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_572)) :args _let_571)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_633)) :args _let_633)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_632) _let_537))) (REFL :args ((not _let_612))) :args _let_380)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_522)) :args ((or _let_521 _let_519 _let_518 _let_618))) (REORDERING (CNF_OR_POS :args (_let_607)) :args ((or _let_521 _let_519 _let_606 _let_631))) (CNF_OR_NEG :args (_let_612 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_612 0)) (CONG (REFL :args (_let_612)) (MACRO_SR_PRED_INTRO :args ((= (not _let_521) _let_520))) :args _let_380)) :args ((or _let_520 _let_612))) :args ((or _let_612 _let_631 _let_618) true _let_518 true _let_519 false _let_520)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (tptp.a21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)) _let_551 _let_555 _let_397 _let_630 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_461 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_459)) _let_628 _let_458 _let_397 _let_457 _let_455 (MACRO_RESOLUTION_TRUST _let_575 _let_397 _let_568 _let_577 _let_626 _let_582 _let_625 _let_594 _let_623 _let_397 _let_592 _let_591 _let_590 _let_429 _let_589 _let_397 _let_432 _let_574 _let_441 _let_567 _let_446 _let_397 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 tptp.hskp3 _let_398 _let_344))) _let_397 _let_451 _let_622 :args ((or tptp.hskp23 tptp.hskp14 tptp.hskp12 tptp.hskp8 _let_344 _let_562) false tptp.ndr1_0 true _let_536 true _let_538 true _let_533 true _let_256 true _let_621 true _let_542 false tptp.hskp15 false tptp.ndr1_0 false _let_226 false _let_229 false _let_231 true tptp.hskp16 false tptp.hskp30 false tptp.ndr1_0 false _let_340 true _let_537 false _let_341 true _let_535 false _let_342 false tptp.ndr1_0 false tptp.hskp3 false tptp.ndr1_0 true _let_343 true _let_619)) :args ((or tptp.hskp23 tptp.hskp14 tptp.hskp12 tptp.hskp8 _let_334 _let_353 _let_364 _let_618 _let_562) true _let_608 true _let_90 false _let_190 false tptp.hskp11 false tptp.ndr1_0 true tptp.hskp30 false _let_542 false _let_256 false _let_617 false _let_616 false tptp.ndr1_0 true tptp.hskp0 false _let_615 false _let_614 false _let_537 false _let_612 false _let_611 false _let_530 false _let_531 false tptp.ndr1_0 true tptp.hskp3 false _let_607 false _let_605 false _let_304 false tptp.ndr1_0 true tptp.hskp21 false _let_346 false _let_344)) _let_588 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)) _let_586 _let_578 _let_576 _let_397 _let_570 _let_560 _let_554 _let_550 _let_484 _let_545 _let_544 _let_476 _let_424 _let_397 _let_429 _let_432 _let_471 _let_604 _let_598 _let_436 _let_596 _let_595 (MACRO_RESOLUTION_TRUST _let_594 _let_592 _let_591 _let_590 _let_589 _let_397 _let_588 _let_586 _let_582 _let_578 _let_577 _let_576 _let_397 _let_575 _let_397 _let_574 _let_570 _let_568 _let_567 _let_560 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_557)) :args _let_556)) _let_555 _let_397 _let_554 (REORDERING (CNF_OR_POS :args (_let_532)) :args ((or _let_123 _let_524 _let_527 (not _let_532)))) _let_551 _let_550 _let_484 (REORDERING (CNF_OR_POS :args (_let_529)) :args ((or _let_123 _let_524 _let_528 (not _let_529)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (tptp.a36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)) _let_545 _let_544 _let_476 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_475 :args (tptp.a36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_474)) :args _let_473)) (REORDERING (CNF_OR_POS :args (_let_526)) :args ((or _let_123 _let_525 _let_524 (not _let_526)))) _let_423 (REORDERING (ASSUME :args (_let_125)) :args ((or _let_122 _let_124))) (ASSUME :args (_let_209)) (ASSUME :args (_let_211)) _let_425 _let_397 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 tptp.hskp4 _let_398 _let_266))) _let_397 _let_430 :args ((or tptp.hskp4 _let_266 _let_493 _let_364 _let_323 _let_543) false _let_226 false _let_229 false _let_231 false tptp.hskp30 false tptp.ndr1_0 true tptp.hskp23 false _let_517 false _let_542 false _let_298 false _let_256 false _let_515 false tptp.ndr1_0 false _let_538 false tptp.ndr1_0 true _let_537 true tptp.hskp10 true _let_536 true _let_535 false _let_514 true _let_533 false tptp.hskp3 false tptp.ndr1_0 false _let_280 true _let_532 true _let_531 false _let_512 true tptp.hskp12 true _let_527 true _let_530 false _let_511 false _let_507 false _let_339 false _let_529 true _let_526 false _let_320 true _let_123 false _let_208 false _let_210 false _let_322 false tptp.ndr1_0 false tptp.hskp20 false tptp.ndr1_0 true _let_267)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_523) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_523)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_496 (= U V)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp4 _let_398 _let_494 _let_495))) _let_397 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_334 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_334 (= U V)))) :args ((or tptp.hskp4 _let_334 _let_353 _let_364 _let_323 _let_333) true tptp.hskp23 false _let_522 false _let_517 false _let_298 false _let_515 false tptp.ndr1_0 true tptp.hskp10 false _let_514 false _let_280 false _let_512 true tptp.hskp12 false _let_511 false _let_507 false _let_339 false _let_320 false tptp.ndr1_0 true tptp.hskp16 false _let_340 false _let_341 true tptp.hskp8 true tptp.hskp14 false _let_422 false _let_314 false _let_503 false _let_266 false _let_500 false _let_496 false _let_495 false tptp.ndr1_0 true _let_494 true _let_493)))) (let ((_let_655 (not _let_367))) (let ((_let_656 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_53 _let_366 _let_365 _let_655))) (REORDERING (ASSUME :args (_let_55)) :args ((or _let_52 _let_54))) (ASSUME :args (_let_175)) (ASSUME :args (_let_177)) :args ((or _let_52 _let_655) true _let_53 false _let_174 false _let_176)))) (let ((_let_657 (_let_368))) (let ((_let_658 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_657) :args (tptp.a7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_657)))) (let ((_let_659 (not _let_368))) (let ((_let_660 (_let_659))) (let ((_let_661 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_660)) :args _let_660)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_659) _let_368))) (REFL :args ((not _let_370))) :args _let_380)))) (let ((_let_662 (REFL :args (_let_370)))) (let ((_let_663 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_370 0)) (CONG _let_662 (MACRO_SR_PRED_INTRO :args ((= (not _let_358) _let_357))) :args _let_380)) :args ((or _let_357 _let_370))))) (let ((_let_664 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_370 1)) (CONG _let_662 (MACRO_SR_PRED_INTRO :args ((= (not _let_356) _let_355))) :args _let_380)) :args ((or _let_355 _let_370))))) (let ((_let_665 (not _let_372))) (let ((_let_666 (not _let_359))) (let ((_let_667 (REORDERING (CNF_OR_POS :args (_let_359)) :args ((or _let_358 _let_356 _let_354 _let_666))))) (let ((_let_668 (_let_373))) (let ((_let_669 ((not (= (tptp.c0_1 U) true))))) (let ((_let_670 (ASSUME :args _let_668))) (let ((_let_671 (REORDERING (CNF_OR_POS :args (_let_374)) :args ((or _let_358 _let_356 _let_371 (not _let_374)))))) (let ((_let_672 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_373 (= U V)))))) (let ((_let_673 (_let_376))) (let ((_let_674 ((not (= (tptp.c1_1 U) false))))) (let ((_let_675 (ASSUME :args _let_673))) (let ((_let_676 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_675 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((_let_836 (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_251 _let_250 _let_249 (not _let_252)))))) (let ((_let_837 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)))) (let ((_let_838 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_461 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_459)))) (let ((_let_839 (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_272 _let_270 _let_274 _let_277))))) (let ((_let_840 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_304 (= U U)))))) (let ((_let_841 (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_272 _let_278 _let_273 (not _let_279)))))) (let ((_let_842 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_559)) :args _let_395)))) (let ((_let_843 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_398 _let_283 _let_281))))) (let ((_let_844 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_845 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_467 :args (tptp.a10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_466)) :args _let_465)))) (let ((_let_846 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_467 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_466)) :args _let_465)))) (let ((_let_847 (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_70 _let_287 _let_286 (not _let_288)))))) (let ((_let_848 (not _let_290))) (let ((_let_849 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_45 _let_42 _let_289 _let_848))) (REORDERING (ASSUME :args (_let_44)) :args ((or _let_41 _let_43))) (REORDERING (ASSUME :args (_let_47)) :args ((or _let_41 _let_46))) (ASSUME :args (_let_169)) :args ((or _let_41 _let_848) true _let_42 true _let_45 false _let_168)))) (let ((_let_850 (REORDERING (CNF_OR_POS :args (_let_297)) :args ((or _let_70 _let_67 _let_296 (not _let_297)))))) (let ((_let_851 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_398 _let_305 _let_303))))) (let ((_let_852 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (tptp.a10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_583)))) (let ((_let_853 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_298 (= U V)))))) (let ((_let_854 (MACRO_RESOLUTION_TRUST _let_414 _let_412 _let_411 _let_410 :args ((or _let_56 _let_413) true _let_57 true _let_60 true _let_63)))) (let ((_let_855 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_398 _let_720 _let_721))))) (let ((_let_856 (or _let_310 _let_313 _let_78))) (let ((_let_857 (not _let_856))) (let ((_let_858 (MACRO_RESOLUTION_TRUST _let_672 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_670 :args (tptp.a13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_669)) :args _let_668)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_856)) :args ((or _let_78 _let_310 _let_313 _let_857))) _let_602 _let_601 _let_600 :args ((or _let_77 _let_857) true _let_78 false _let_184 false _let_186)) _let_719 :args (_let_857 false tptp.hskp8)) :args ((not _let_373) true _let_856)) :args ((not _let_375) true _let_373)))) (let ((_let_859 (MACRO_RESOLUTION_TRUST _let_671 _let_667 _let_664 _let_663 _let_661 _let_658 _let_656 _let_654 _let_416 _let_415 _let_393 _let_492 _let_394 _let_488 _let_676 _let_486 _let_678 _let_386 _let_385 _let_384 _let_677 _let_397 _let_858 _let_383 _let_379 :args ((or _let_334 _let_666 _let_485 _let_333) false _let_354 false _let_355 false _let_357 true _let_370 true _let_368 true _let_367 false tptp.hskp4 true _let_323 true _let_353 true _let_324 true _let_364 true _let_387 true _let_363 false _let_374 true _let_360 false _let_376 true _let_348 true _let_349 false _let_350 false _let_377 false tptp.ndr1_0 true _let_375 true _let_352 true _let_347)))) (let ((_let_860 (MACRO_RESOLUTION_TRUST _let_455 (MACRO_RESOLUTION_TRUST _let_457 (MACRO_RESOLUTION_TRUST _let_716 _let_715 _let_717 _let_641 _let_713 _let_712 _let_711 _let_644 _let_397 _let_709 _let_649 _let_707 _let_758 _let_701 _let_685 _let_683 _let_859 _let_490 _let_487 _let_397 _let_484 _let_479 _let_477 _let_718 _let_476 (MACRO_RESOLUTION_TRUST _let_823 _let_824 _let_822 _let_821 _let_820 _let_397 _let_819 _let_825 _let_407 _let_818 _let_723 _let_408 _let_855 _let_397 _let_409 _let_397 _let_854 _let_392 _let_416 _let_425 _let_397 _let_430 (MACRO_RESOLUTION_TRUST _let_853 _let_852 _let_851 _let_397 _let_850 _let_849 _let_847 _let_846 _let_845 _let_782 _let_781 _let_780 _let_844 _let_397 _let_843 _let_397 _let_307 _let_306 _let_842 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_649 (CNF_OR_NEG :args (_let_617 2)) _let_648 _let_646 _let_644 _let_397 _let_835 _let_653 _let_643 _let_641 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_454 :args (tptp.a13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_453)) :args _let_452)) _let_834 _let_833 (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_78 _let_313 _let_309 (not _let_827)))) _let_830 _let_831 _let_490 _let_832 _let_603 _let_831 _let_830 _let_604 _let_719 _let_829 _let_596 _let_828 :args ((or tptp.hskp21 _let_259 _let_258 (not _let_266) _let_272 _let_270 _let_278) true _let_298 false _let_303 false tptp.ndr1_0 true _let_297 true tptp.hskp2 false _let_286 false _let_290 false _let_288 true _let_67 true _let_70 false _let_178 false _let_285 false tptp.ndr1_0 false tptp.hskp6 false tptp.ndr1_0 true _let_282 true _let_281 true _let_280 true _let_279 true _let_305 true _let_273 true _let_304 false _let_275 true _let_252 false _let_268 true _let_249 false _let_248 false _let_247 false _let_637 false tptp.ndr1_0 true _let_284 true _let_617 true _let_255 true _let_636 true _let_344 true _let_283 true _let_256 true _let_827 true _let_78 false _let_184 true _let_308 true _let_262 true _let_309 false _let_184 true _let_78 true _let_311 false tptp.hskp8 false _let_260 false _let_314 false _let_265)) _let_826 _let_378 (MACRO_RESOLUTION_TRUST _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_397 _let_819 _let_766 _let_767 _let_397 _let_598 _let_595 _let_407 _let_818 _let_430 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 _let_398 _let_328 _let_816))) _let_397 _let_425 _let_397 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_815 (= V V)))) _let_416 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_817) :args (tptp.a9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) true))))) :args _let_817)) _let_392 (REORDERING (CNF_OR_POS :args (_let_814)) :args ((or _let_60 _let_57 _let_811 (not _let_814)))) _let_414 (REORDERING (CNF_OR_POS :args (_let_813)) :args ((or _let_63 _let_57 _let_812 (not _let_813)))) _let_412 _let_411 _let_410 _let_714 _let_685 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_682 :args (tptp.a9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_680)) _let_683 :args ((or tptp.hskp21 _let_321 _let_322 _let_381) true _let_319 false _let_315 false _let_221 false _let_223 false tptp.hskp28 false tptp.ndr1_0 true tptp.hskp7 false _let_268 false _let_761 false tptp.ndr1_0 true tptp.hskp14 false _let_503 false _let_332 false _let_329 false _let_266 false _let_328 false tptp.ndr1_0 false _let_267 false tptp.ndr1_0 true _let_816 true _let_323 true _let_815 true _let_324 true _let_814 true _let_325 true _let_811 true _let_57 true _let_60 true _let_63 false tptp.hskp5 true tptp.hskp24 false _let_813 false _let_336)) _let_810 _let_809 _let_808 _let_428 _let_427 _let_806 _let_424 _let_397 _let_423 _let_802 :args ((or tptp.hskp21 _let_320) true _let_315 false _let_221 false _let_223 false tptp.hskp28 false tptp.ndr1_0 true tptp.hskp7 false _let_319 false _let_332 false _let_329 false _let_268 false _let_328 false _let_720 false tptp.ndr1_0 false _let_327 false tptp.ndr1_0 true tptp.hskp5 false _let_325 false _let_324 false _let_323 false tptp.ndr1_0 true _let_267 true _let_266 true _let_721 true _let_326 true _let_334 true _let_278 false _let_269 false _let_271 false _let_204 false _let_206 true _let_752 false tptp.hskp16 false tptp.ndr1_0 true _let_322 true _let_321)) :args (tptp.hskp21 false _let_700 false _let_697 false _let_256 false _let_690 false _let_692 false _let_694 false _let_636 false tptp.ndr1_0 true _let_696 true _let_637 true _let_268 true _let_689 false tptp.hskp31 true tptp.hskp24 false _let_336 false _let_334 false _let_311 false _let_308 false tptp.ndr1_0 true tptp.hskp12 false _let_362 false _let_359 false _let_698 false _let_339 false _let_320)) :args (_let_456 false tptp.hskp21)) :args ((not _let_344) true _let_346)))) (let ((_let_861 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_788 0)) (CONG (REFL :args (_let_788)) (MACRO_SR_PRED_INTRO :args ((= (not _let_787) _let_786))) :args _let_380)) :args ((or _let_786 _let_788))))) (let ((_let_862 (CNF_OR_NEG :args (_let_788 1)))) (let ((_let_863 (CNF_OR_NEG :args (_let_788 2)))) (let ((_let_864 (not _let_791))) (let ((_let_865 (MACRO_RESOLUTION_TRUST _let_835 _let_860 :args ((not _let_284) true _let_344)))) (let ((_let_866 (not _let_793))) (let ((_let_867 (not _let_795))) (let ((_let_868 (REORDERING (CNF_OR_POS :args (_let_793)) :args ((or _let_787 _let_785 _let_792 _let_866))))) (let ((_let_869 (_let_797))) (let ((_let_870 (not _let_742))) (let ((_let_871 (_let_745))) (let ((_let_872 (not _let_745))) (let ((_let_873 (_let_872))) (let ((_let_874 (not _let_743))) (let ((_let_875 (not _let_732))) (let ((_let_876 (MACRO_RESOLUTION_TRUST _let_628 _let_773 _let_630 _let_772 _let_397 _let_774 _let_397 _let_771 _let_770 _let_715 _let_769 _let_716 _let_768 _let_717 _let_545 _let_718 _let_806 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_732)) :args ((or _let_270 _let_278 _let_273 _let_875))) (REORDERING (CNF_OR_POS :args (_let_743)) :args ((or _let_272 _let_278 _let_274 _let_874))) :args ((or _let_272 _let_270 _let_278 _let_875 _let_874) true _let_273)) _let_810 _let_809 _let_808 :args ((or _let_752 _let_875 _let_874) true _let_278 false _let_269 false _let_271)) _let_775 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_778 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_777)) :args _let_776)) (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_736 _let_746 _let_748 (not _let_749)))) (REORDERING (CNF_OR_POS :args (_let_738)) :args ((or _let_737 _let_736 _let_735 (not _let_738)))) (CNF_OR_NEG :args (_let_747 2)) (CNF_OR_NEG :args (_let_747 1)) (CNF_OR_NEG :args (_let_747 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_873)) :args _let_873)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_872) _let_745))) (REFL :args ((not _let_747))) :args _let_380)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_871) :args (tptp.a57 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 V) true))))) :args _let_871)) (REORDERING (CNF_OR_POS :args (_let_744)) :args ((or _let_156 _let_153 _let_150 (not _let_744)))) (REORDERING (ASSUME :args (_let_152)) :args ((or _let_149 _let_151))) (REORDERING (ASSUME :args (_let_155)) :args ((or _let_149 _let_154))) (REORDERING (ASSUME :args (_let_158)) :args ((or _let_149 _let_157))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp26 tptp.hskp12 _let_398 _let_733))) _let_397 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_742)) :args ((or _let_94 _let_338 _let_741 _let_870))) _let_759 _let_483 _let_482 _let_481 :args ((or _let_93 _let_757 _let_870) false _let_730 true _let_94 false _let_192 false _let_194)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_530 (= U U)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_398 _let_740 _let_739))) _let_397 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_341 (= U V)))) _let_432 _let_429 _let_623 _let_397 (MACRO_RESOLUTION_TRUST _let_622 _let_860 :args ((not _let_619) true _let_344)) _let_625 _let_626 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_797 (= U V)))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_397 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_344 (= U W)))) _let_860 :args ((not _let_798) true _let_344)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_869) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_869)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_328 (= U U)))) (REORDERING (CNF_OR_POS :args (_let_796)) :args ((or _let_785 _let_784 _let_794 (not _let_796)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_404)) _let_868 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_795)) :args ((or _let_787 _let_784 _let_794 _let_867))) _let_868 _let_863 _let_862 _let_861 :args ((or _let_788 _let_867 _let_866) false _let_792 true _let_784 true _let_785 false _let_786)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_559)) :args _let_395)) _let_307 _let_844 _let_397 _let_865 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_467 :args (tptp.a26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 W) true))))) :args _let_465)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_791)) :args ((or _let_101 _let_98 _let_790 _let_864))) (REORDERING (CNF_OR_POS :args (_let_729)) :args ((or _let_101 _let_728 _let_727 _let_799))) (REORDERING (ASSUME :args (_let_100)) :args ((or _let_97 _let_99))) (REORDERING (ASSUME :args (_let_103)) :args ((or _let_97 _let_102))) (ASSUME :args (_let_197)) :args ((or _let_97 _let_799 _let_864) false _let_727 true _let_98 true _let_101 false _let_196)) _let_863 _let_862 _let_861 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 _let_398 _let_783 _let_789))) _let_397 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_344 (= U V)))) _let_860 :args ((not _let_789) true _let_344)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_801)) :args _let_801)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_800) _let_533))) (REFL :args ((not _let_788))) :args _let_380)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_533 (= U U)))) :args ((or _let_533 _let_799) false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))) false tptp.ndr1_0 true _let_798 true _let_797 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c3_1 U))) true _let_796 true _let_328 false _let_792 true _let_795 false _let_793 false _let_280 false _let_282 false tptp.ndr1_0 true _let_284 true _let_285 true _let_791 true _let_784 true _let_785 false _let_786 false tptp.hskp13 false tptp.ndr1_0 true _let_789 true _let_788 true _let_783)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_391 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_390)) :args _let_389)) _let_416 _let_713 _let_712 _let_711 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_763)) :args ((or _let_163 _let_725 _let_762 (not _let_763)))) (REORDERING (CNF_OR_POS :args (_let_726)) :args ((or _let_160 _let_725 _let_724 _let_765))) (REORDERING (ASSUME :args (_let_162)) :args ((or _let_159 _let_161))) (REORDERING (ASSUME :args (_let_165)) :args ((or _let_159 _let_164))) (ASSUME :args (_let_219)) (REORDERING (ASSUME :args (_let_241)) :args ((or tptp.hskp27 tptp.hskp12 tptp.hskp6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_764)) :args ((or _let_70 _let_67 _let_287 _let_779))) _let_782 _let_781 _let_780 :args ((or _let_66 _let_779) true _let_67 true _let_70 false _let_178)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_778 :args (tptp.a10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_777)) :args _let_776)) _let_775 _let_774 _let_397 _let_630 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_461 :args (tptp.a65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_460)) :args _let_459)) _let_628 _let_773 _let_772 _let_397 _let_771 _let_770 _let_715 _let_769 _let_716 _let_768 _let_717 _let_484 _let_545 _let_718 _let_476 _let_423 _let_425 _let_397 _let_430 _let_595 _let_598 _let_713 _let_712 _let_711 _let_767 _let_397 _let_709 _let_760 _let_766 :args ((or tptp.hskp24 _let_268 _let_323 _let_765) false _let_724 true _let_160 true _let_163 false _let_218 false tptp.hskp27 true tptp.hskp6 false _let_764 false _let_750 false _let_751 false tptp.ndr1_0 true tptp.hskp3 false _let_763 false _let_605 false _let_304 false _let_755 false tptp.ndr1_0 true _let_754 true _let_753 true _let_256 true _let_376 true _let_700 true _let_722 false _let_697 true tptp.hskp12 false _let_511 false _let_698 false _let_339 false _let_320 false _let_322 false tptp.ndr1_0 true _let_267 true _let_266 true _let_503 false _let_690 false _let_692 false _let_694 false tptp.hskp14 false tptp.ndr1_0 true _let_696 true _let_734 true _let_761)) _let_709 _let_760 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U U)))) (MACRO_RESOLUTION_TRUST _let_759 (REORDERING (CNF_OR_POS :args (_let_756)) :args ((or _let_338 _let_337 _let_741 (not _let_756)))) _let_483 _let_482 _let_481 _let_701 _let_758 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)) _let_707 :args ((or tptp.hskp24 _let_276 _let_757) true _let_730 true _let_94 false _let_192 false _let_194 false tptp.hskp12 true tptp.hskp31 false _let_756 false _let_689)) _let_685 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_682 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_681)) :args _let_680)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_682 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_681)) :args _let_680)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_682 :args (tptp.a26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_681)) :args _let_680)) _let_683 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_682 :args (tptp.a65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_681)) :args _let_680)) :args (_let_381 false _let_304 true _let_605 false _let_755 false tptp.ndr1_0 false tptp.hskp3 false tptp.ndr1_0 true _let_754 true _let_753 true _let_256 true _let_376 true _let_700 true _let_722 false _let_697 false _let_511 false _let_698 false _let_320 false _let_752 true _let_751 true _let_750 true _let_749 false _let_735 true _let_746 true _let_736 true _let_737 true _let_747 true _let_745 true _let_744 true _let_150 true _let_153 true _let_156 false tptp.hskp26 false tptp.ndr1_0 true tptp.hskp12 false _let_743 false _let_742 false _let_530 false _let_740 false tptp.ndr1_0 true _let_739 true _let_341 true _let_340 false tptp.hskp16 false tptp.ndr1_0 true _let_619 true tptp.hskp15 false _let_621 false _let_533 false _let_738 false _let_324 false _let_690 false _let_692 false _let_694 false _let_323 true _let_696 true _let_734 true _let_733 true _let_268 true tptp.hskp24 false _let_732 false _let_731 false _let_729 false _let_336 false _let_726)))) (let ((_let_877 (MACRO_RESOLUTION_TRUST _let_678 (MACRO_RESOLUTION_TRUST _let_677 _let_397 _let_858 (MACRO_RESOLUTION_TRUST _let_379 _let_876 :args ((not _let_347) true _let_334)) :args (_let_377 false tptp.ndr1_0 true _let_375 true _let_347)) :args (_let_376 false _let_377)))) (let ((_let_878 (MACRO_RESOLUTION_TRUST _let_423 _let_425 _let_397 _let_718 _let_416 _let_717 _let_392 _let_768 (MACRO_RESOLUTION_TRUST _let_769 _let_877 :args (_let_722 false _let_376)) _let_854 _let_713 _let_712 _let_855 _let_397 (MACRO_RESOLUTION_TRUST _let_826 _let_876 :args ((not _let_721) true _let_334)) _let_709 _let_723 :args ((or _let_268 _let_267) false _let_322 false tptp.ndr1_0 true _let_320 true _let_323 true _let_698 true _let_324 true _let_697 false _let_722 true _let_325 false _let_690 false _let_692 false tptp.hskp5 false tptp.ndr1_0 true _let_721 true _let_696 true _let_720)))) (let ((_let_879 (MACRO_RESOLUTION_TRUST _let_490 (MACRO_RESOLUTION_TRUST _let_823 _let_824 _let_822 _let_821 _let_820 _let_397 _let_819 _let_407 _let_818 _let_408 _let_409 _let_397 (MACRO_RESOLUTION_TRUST _let_378 _let_876 :args ((not _let_326) true _let_334)) _let_854 _let_392 _let_416 _let_425 _let_397 _let_423 _let_802 (MACRO_RESOLUTION_TRUST _let_859 _let_876 _let_479 _let_477 :args ((or _let_804 _let_333) true _let_334 false _let_362 false _let_359)) _let_825 _let_878 _let_430 _let_596 _let_604 _let_719 :args (_let_333 true _let_315 false _let_221 false _let_223 false tptp.hskp28 false tptp.ndr1_0 true tptp.hskp7 false _let_332 false _let_329 false _let_328 false _let_327 false tptp.ndr1_0 true _let_326 true tptp.hskp5 false _let_325 false _let_324 false _let_323 false tptp.ndr1_0 true _let_322 true _let_321 true _let_320 false _let_319 false _let_268 true _let_267 true _let_266 true _let_314 false tptp.hskp8)) :args ((not _let_308) true _let_311)))) (let ((_let_880 (MACRO_RESOLUTION_TRUST _let_476 (MACRO_RESOLUTION_TRUST _let_484 (MACRO_RESOLUTION_TRUST _let_487 _let_397 _let_879 :args (tptp.hskp12 false tptp.ndr1_0 true _let_308)) :args (_let_480 false tptp.hskp12)) :args (_let_804 true _let_339)))) (let ((_let_881 (MACRO_RESOLUTION_TRUST _let_424 _let_397 _let_880 :args (tptp.hskp16 false tptp.ndr1_0 true _let_320)))) (let ((_let_882 (MACRO_RESOLUTION_TRUST _let_445 (MACRO_RESOLUTION_TRUST _let_432 (MACRO_RESOLUTION_TRUST _let_429 _let_881 :args (_let_426 false tptp.hskp16)) :args (_let_443 true _let_340)) :args (_let_442 true _let_341)))) (let ((_let_883 (MACRO_RESOLUTION_TRUST _let_450 _let_882 :args ((not _let_291) true _let_437)))) (let ((_let_884 (MACRO_RESOLUTION_TRUST _let_806 _let_880 :args (_let_803 true _let_320)))) (let ((_let_885 (MACRO_RESOLUTION_TRUST _let_808 _let_884 :args (_let_271 true _let_752)))) (let ((_let_886 (MACRO_RESOLUTION_TRUST _let_837 (MACRO_RESOLUTION_TRUST _let_839 _let_885 (MACRO_RESOLUTION_TRUST _let_809 _let_884 :args (_let_269 true _let_752)) (MACRO_RESOLUTION_TRUST _let_841 _let_885 (MACRO_RESOLUTION_TRUST _let_810 _let_884 :args ((not _let_278) true _let_752)) (MACRO_RESOLUTION_TRUST _let_842 (MACRO_RESOLUTION_TRUST _let_840 _let_851 _let_397 _let_462 _let_853 _let_463 _let_883 (MACRO_RESOLUTION_TRUST _let_449 _let_882 :args (_let_299 true _let_437)) _let_852 _let_464 (MACRO_RESOLUTION_TRUST _let_448 _let_882 :args (_let_293 true _let_437)) _let_883 _let_849 _let_850 _let_847 _let_468 _let_846 _let_845 _let_782 _let_781 _let_780 _let_844 _let_397 _let_865 _let_843 _let_397 (MACRO_RESOLUTION_TRUST _let_834 _let_879 :args ((not _let_283) true _let_308)) _let_307 _let_306 :args (_let_280 false _let_305 false tptp.ndr1_0 true _let_304 true _let_303 true _let_302 true _let_291 false _let_299 true _let_298 false _let_292 false _let_293 true _let_291 true tptp.hskp2 true _let_297 false _let_286 false _let_295 false _let_290 false _let_288 true _let_67 true _let_70 false _let_178 false _let_285 false tptp.ndr1_0 true _let_284 false tptp.hskp6 false tptp.ndr1_0 true _let_283 true _let_282 true _let_281)) :args (_let_279 false _let_280)) :args (_let_273 false _let_271 true _let_278 false _let_279)) :args (_let_277 false _let_271 false _let_269 false _let_273)) :args (_let_276 true _let_275)))) (let ((_let_887 (MACRO_RESOLUTION_TRUST _let_428 _let_881 :args (_let_204 false tptp.hskp16)))) (let ((_let_888 (MACRO_RESOLUTION_TRUST _let_427 _let_881 :args (_let_206 false tptp.hskp16)))) (let ((_let_889 (MACRO_RESOLUTION_TRUST _let_833 (MACRO_RESOLUTION_TRUST _let_832 _let_888 _let_887 (MACRO_RESOLUTION_TRUST _let_829 _let_888 _let_887 (MACRO_RESOLUTION_TRUST _let_828 (MACRO_RESOLUTION_TRUST _let_430 (MACRO_RESOLUTION_TRUST _let_878 _let_886 :args (_let_267 true _let_268)) :args (_let_266 false _let_267)) :args (_let_265 false _let_266)) :args (_let_260 false _let_206 false _let_204 false _let_265)) :args (_let_264 false _let_206 false _let_204 false _let_260)) :args (_let_263 true _let_262)))) (let ((_let_890 (MACRO_RESOLUTION_TRUST _let_643 _let_889 :args (_let_257 true _let_256)))) (let ((_let_891 (MACRO_RESOLUTION_TRUST _let_648 _let_890 :args (_let_248 true _let_255)))) (let ((_let_892 (or _let_638 _let_254 _let_250))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_836 (MACRO_RESOLUTION_TRUST _let_838 (MACRO_RESOLUTION_TRUST _let_773 (MACRO_RESOLUTION_TRUST _let_772 _let_397 (MACRO_RESOLUTION_TRUST _let_771 _let_889 :args ((not _let_754) true _let_256)) (MACRO_RESOLUTION_TRUST _let_760 _let_886 :args ((not _let_734) true _let_268)) :args (_let_755 false tptp.ndr1_0 true _let_754 true _let_734)) :args (_let_304 false _let_755)) :args (_let_252 false _let_304)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_892)) :args ((or _let_254 _let_250 _let_638 (not _let_892)))) (MACRO_RESOLUTION_TRUST _let_647 _let_890 :args (_let_253 true _let_255)) _let_891 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_675 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_674)) :args _let_673)) _let_877 :args (_let_892 false _let_376)) :args (_let_638 false _let_253 false _let_248 false _let_892)) _let_891 (MACRO_RESOLUTION_TRUST _let_646 _let_890 :args (_let_247 true _let_255)) :args (false false _let_252 true _let_249 false _let_248 false _let_247)) :args ((or _let_234 tptp.ndr1_0) _let_246 (or _let_225 tptp.ndr1_0) (or _let_220 tptp.ndr1_0) (or _let_159 tptp.ndr1_0) _let_245 (or _let_148 tptp.ndr1_0) (or _let_141 tptp.ndr1_0) (or _let_134 tptp.ndr1_0) (or _let_133 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_122 tptp.ndr1_0) (or _let_121 tptp.ndr1_0) (or _let_120 tptp.ndr1_0) (or _let_119 tptp.ndr1_0) (or _let_115 tptp.ndr1_0) (or _let_108 tptp.ndr1_0) (or _let_104 tptp.ndr1_0) (or _let_97 tptp.ndr1_0) (or _let_93 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_81 tptp.ndr1_0) (or _let_77 tptp.ndr1_0) _let_244 (or _let_66 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) (or _let_52 tptp.ndr1_0) (or _let_48 tptp.ndr1_0) (or _let_41 tptp.ndr1_0) (or _let_40 tptp.ndr1_0) (or _let_33 tptp.ndr1_0) _let_243 _let_242 (or tptp.hskp3 tptp.hskp2 tptp.hskp13) (or tptp.hskp3 tptp.hskp27 tptp.hskp26) _let_241 _let_240 _let_239 _let_237 _let_235 _let_232 _let_230 _let_228 (or _let_225 (tptp.c1_1 tptp.a8)) (or _let_225 (tptp.c2_1 tptp.a8)) (or _let_225 (tptp.c3_1 tptp.a8)) _let_224 _let_222 (or _let_220 (tptp.c2_1 tptp.a2)) _let_219 (or _let_148 (tptp.c0_1 tptp.a54)) (or _let_148 (tptp.c3_1 tptp.a54)) _let_217 _let_215 _let_213 _let_211 _let_209 (or _let_121 (tptp.c1_1 tptp.a35)) (or _let_120 (tptp.c1_1 tptp.a33)) (or _let_120 (tptp.c2_1 tptp.a33)) (or _let_119 (tptp.c0_1 tptp.a32)) (or _let_119 (tptp.c2_1 tptp.a32)) _let_207 _let_205 _let_203 _let_201 _let_199 _let_197 _let_195 _let_193 _let_191 _let_189 _let_187 _let_185 _let_183 _let_181 _let_179 _let_177 _let_175 _let_173 _let_171 _let_169 (or _let_40 (tptp.c0_1 tptp.a4)) (or _let_40 (tptp.c2_1 tptp.a4)) _let_167 _let_165 _let_162 _let_158 _let_155 _let_152 (or (not (tptp.c1_1 tptp.a54)) _let_148) _let_147 _let_144 _let_140 _let_137 (or (not (tptp.c0_1 tptp.a40)) _let_133) (or (not (tptp.c2_1 tptp.a40)) _let_133) (or (not (tptp.c3_1 tptp.a40)) _let_133) _let_132 _let_129 _let_125 (or (not (tptp.c0_1 tptp.a35)) _let_121) (or (not (tptp.c3_1 tptp.a35)) _let_121) (or (not (tptp.c3_1 tptp.a33)) _let_120) (or (not (tptp.c3_1 tptp.a32)) _let_119) _let_118 _let_114 _let_111 _let_107 _let_103 _let_100 _let_96 _let_92 (or (not (tptp.c3_1 tptp.a21)) _let_89) _let_88 _let_85 (or (not (tptp.c1_1 tptp.a15)) _let_81) (or (not (tptp.c2_1 tptp.a15)) _let_81) (or (not (tptp.c3_1 tptp.a15)) _let_81) _let_80 _let_76 _let_72 _let_69 _let_65 _let_62 _let_59 _let_55 _let_51 _let_47 _let_44 (or (not (tptp.c1_1 tptp.a4)) _let_40) _let_39 _let_36 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp28 tptp.hskp0)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp29 tptp.hskp5)) _let_32 _let_31 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp0 tptp.hskp9)) _let_30 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp8)) _let_29 _let_28 _let_27 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp17 tptp.hskp6)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp24)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp25 tptp.hskp3)) _let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp17 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp11 tptp.hskp19)) _let_25 _let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp28 tptp.hskp26)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp28 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp18 tptp.hskp27)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp0 tptp.hskp2)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp29 tptp.hskp19)) _let_22 _let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp28 tptp.hskp31)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp15 tptp.hskp13)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp25 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp12 tptp.hskp2)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)) _let_20 _let_19 _let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp7)) _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp8)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp9)) _let_14 _let_13 _let_12 _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp28)) _let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp30)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp22)) _let_9 _let_8 _let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp17)) _let_6 _let_5 _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.52/0.73  )
% 0.52/0.73  % SZS output end Proof for SYN465-1
% 0.52/0.74  % cvc5---1.0.5 exiting
% 0.52/0.74  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------