TSTP Solution File: SYN455-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN455-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 02:03:20 EDT 2023
% Result : Unsatisfiable 0.22s 0.72s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN455-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 20:45:26 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.k32Tz3wWbc/cvc5---1.0.5_6905.p...
% 0.22/0.53 ------- get file name : TPTP file name is SYN455-1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6905.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.72 % SZS status Unsatisfiable for SYN455-1
% 0.22/0.72 % SZS output start Proof for SYN455-1
% 0.22/0.74 (
% 0.22/0.74 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.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.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp1)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp15)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$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.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_9 (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.c3_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp25)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp16)))) (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.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp0)))) (let ((_let_12 (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.hskp15)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp21)))) (let ((_let_14 (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.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp27)))) (let ((_let_17 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp11 tptp.hskp12)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp23 tptp.hskp15)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp27 tptp.hskp13)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp10 tptp.hskp21)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp25 tptp.hskp21)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp5 tptp.hskp7)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp7 tptp.hskp13)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp28 tptp.hskp16)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp7 tptp.hskp14)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp14)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp28)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp20 tptp.hskp18)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp12 tptp.hskp17)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp12)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp6 tptp.hskp7)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp3 tptp.hskp4)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp10)))) (let ((_let_34 (not tptp.hskp0))) (let ((_let_35 (tptp.c3_1 tptp.a901))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (tptp.c1_1 tptp.a901))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_34))) (let ((_let_41 (tptp.c0_1 tptp.a901))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_34))) (let ((_let_44 (not tptp.hskp1))) (let ((_let_45 (tptp.c1_1 tptp.a902))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44))) (let ((_let_48 (not tptp.hskp2))) (let ((_let_49 (not tptp.hskp3))) (let ((_let_50 (tptp.c2_1 tptp.a904))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (tptp.c1_1 tptp.a904))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_49))) (let ((_let_56 (not tptp.hskp4))) (let ((_let_57 (tptp.c2_1 tptp.a905))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (tptp.c0_1 tptp.a905))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_56))) (let ((_let_63 (not tptp.hskp5))) (let ((_let_64 (tptp.c3_1 tptp.a906))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (not tptp.hskp6))) (let ((_let_68 (tptp.c2_1 tptp.a907))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (not tptp.hskp7))) (let ((_let_72 (tptp.c3_1 tptp.a908))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (tptp.c2_1 tptp.a908))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_71))) (let ((_let_78 (not tptp.hskp8))) (let ((_let_79 (not tptp.hskp9))) (let ((_let_80 (not tptp.hskp10))) (let ((_let_81 (tptp.c0_1 tptp.a912))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80))) (let ((_let_84 (not tptp.hskp11))) (let ((_let_85 (tptp.c2_1 tptp.a914))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (not tptp.hskp12))) (let ((_let_89 (tptp.c2_1 tptp.a917))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88))) (let ((_let_92 (not tptp.hskp13))) (let ((_let_93 (tptp.c3_1 tptp.a921))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92))) (let ((_let_96 (tptp.c0_1 tptp.a921))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_92))) (let ((_let_99 (not tptp.hskp14))) (let ((_let_100 (tptp.c1_1 tptp.a923))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99))) (let ((_let_103 (tptp.c0_1 tptp.a923))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_99))) (let ((_let_106 (not tptp.hskp15))) (let ((_let_107 (tptp.c1_1 tptp.a924))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_106))) (let ((_let_110 (tptp.c0_1 tptp.a924))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_106))) (let ((_let_113 (not tptp.hskp16))) (let ((_let_114 (tptp.c3_1 tptp.a926))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_113))) (let ((_let_117 (not tptp.hskp17))) (let ((_let_118 (tptp.c3_1 tptp.a936))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (tptp.c2_1 tptp.a936))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_117))) (let ((_let_124 (tptp.c1_1 tptp.a936))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_117))) (let ((_let_127 (not tptp.hskp18))) (let ((_let_128 (tptp.c2_1 tptp.a937))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_127))) (let ((_let_131 (not tptp.hskp19))) (let ((_let_132 (not tptp.hskp20))) (let ((_let_133 (tptp.c3_1 tptp.a939))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_132))) (let ((_let_136 (tptp.c1_1 tptp.a939))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_132))) (let ((_let_139 (not tptp.hskp21))) (let ((_let_140 (tptp.c3_1 tptp.a946))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_139))) (let ((_let_143 (tptp.c2_1 tptp.a946))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_144 _let_139))) (let ((_let_146 (tptp.c0_1 tptp.a946))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_139))) (let ((_let_149 (not tptp.hskp22))) (let ((_let_150 (not tptp.hskp23))) (let ((_let_151 (tptp.c0_1 tptp.a954))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_152 _let_150))) (let ((_let_154 (not tptp.hskp24))) (let ((_let_155 (not tptp.hskp25))) (let ((_let_156 (tptp.c1_1 tptp.a960))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_157 _let_155))) (let ((_let_159 (not tptp.hskp26))) (let ((_let_160 (tptp.c2_1 tptp.a902))) (let ((_let_161 (or _let_44 _let_160))) (let ((_let_162 (tptp.c0_1 tptp.a902))) (let ((_let_163 (or _let_44 _let_162))) (let ((_let_164 (tptp.c0_1 tptp.a904))) (let ((_let_165 (or _let_49 _let_164))) (let ((_let_166 (tptp.c3_1 tptp.a905))) (let ((_let_167 (or _let_56 _let_166))) (let ((_let_168 (tptp.c2_1 tptp.a906))) (let ((_let_169 (or _let_63 _let_168))) (let ((_let_170 (tptp.c0_1 tptp.a906))) (let ((_let_171 (or _let_63 _let_170))) (let ((_let_172 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_let_425) true _let_156 false _let_208 false _let_210)))) (let ((_let_427 (not _let_190))) (let ((_let_428 (or _let_427 _let_96 _let_93))) (let ((_let_429 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 tptp.hskp12 _let_386 _let_246))))) (let ((_let_430 (REORDERING (ASSUME :args (_let_228)) :args ((or tptp.hskp21 tptp.hskp13 tptp.hskp12))))) (let ((_let_431 (_let_246))) (let ((_let_432 ((not (= (tptp.c2_1 U) false))))) (let ((_let_433 (ASSUME :args _let_431))) (let ((_let_434 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a921 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_435 (ASSUME :args (_let_191)))) (let ((_let_436 (REORDERING (ASSUME :args (_let_98)) :args ((or _let_92 _let_97))))) (let ((_let_437 (REORDERING (ASSUME :args (_let_95)) :args ((or _let_92 _let_94))))) (let ((_let_438 (not _let_428))) (let ((_let_439 (REORDERING (CNF_OR_POS :args (_let_428)) :args ((or _let_96 _let_93 _let_427 _let_438))))) (let ((_let_440 (MACRO_RESOLUTION_TRUST _let_439 _let_437 _let_436 _let_435 _let_434 _let_430 _let_429 _let_247 :args ((or tptp.hskp28 tptp.hskp21 tptp.hskp12) true _let_93 true _let_96 false _let_190 false _let_428 false tptp.hskp13 false _let_246 false tptp.ndr1_0)))) (let ((_let_441 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 tptp.hskp21 _let_386 _let_251))))) (let ((_let_442 (ASSUME :args (_let_189)))) (let ((_let_443 (ASSUME :args (_let_187)))) (let ((_let_444 (REORDERING (ASSUME :args (_let_91)) :args ((or _let_88 _let_90))))) (let ((_let_445 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (tptp.a917 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_365)) :args _let_364)))) (let ((_let_446 (not _let_250))) (let ((_let_447 (REORDERING (CNF_OR_POS :args (_let_250)) :args ((or _let_89 _let_249 _let_248 _let_446))))) (let ((_let_448 (MACRO_RESOLUTION_TRUST _let_447 _let_445 _let_444 _let_443 _let_442 _let_441 _let_247 _let_440 _let_426 _let_424 _let_420 _let_247 :args ((or tptp.hskp28 tptp.hskp21) false _let_250 true _let_89 false _let_186 false _let_188 false _let_251 false tptp.ndr1_0 false tptp.hskp12 true tptp.hskp25 false _let_296 false _let_304 false tptp.ndr1_0)))) (let ((_let_449 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 tptp.hskp16 _let_386 _let_350))))) (let ((_let_450 (_let_350))) (let ((_let_451 ((not (= (tptp.c2_1 U) false))))) (let ((_let_452 (ASSUME :args _let_450))) (let ((_let_453 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (tptp.a900 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)))) (let ((_let_454 (or _let_146 _let_143 _let_140))) (let ((_let_455 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_456 (or _let_301 _let_81 _let_417))) (let ((_let_457 (not _let_419))) (let ((_let_458 (not _let_349))) (let ((_let_459 (REORDERING (CNF_OR_POS :args (_let_454)) :args ((or _let_146 _let_143 _let_140 (not _let_454)))))) (let ((_let_460 (_let_455))) (let ((_let_461 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_460) :args (tptp.a946 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_460)))) (let ((_let_462 (not _let_334))) (let ((_let_463 (ASSUME :args (_let_218)))) (let ((_let_464 (ASSUME :args (_let_216)))) (let ((_let_465 (ASSUME :args (_let_214)))) (let ((_let_466 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_334)) :args ((or _let_236 _let_234 _let_333 _let_462))) (REORDERING (CNF_OR_POS :args (_let_349)) :args ((or _let_235 _let_234 _let_332 _let_458))) _let_465 _let_464 _let_463 :args ((or _let_213 _let_462 _let_458) false _let_332 false _let_212 false _let_215 false _let_217)))) (let ((_let_467 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 tptp.hskp10 _let_386 _let_455))))) (let ((_let_468 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 _let_386 _let_348 _let_328))))) (let ((_let_469 (_let_348))) (let ((_let_470 ((not (= (tptp.c1_1 U) false))))) (let ((_let_471 (ASSUME :args _let_469))) (let ((_let_472 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_471 :args (tptp.a917 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_470)) :args _let_469)))) (let ((_let_473 (not _let_456))) (let ((_let_474 (REORDERING (CNF_OR_POS :args (_let_336)) :args ((or _let_249 _let_248 _let_335 (not _let_336)))))) (let ((_let_475 (REORDERING (CNF_OR_POS :args (_let_347)) :args ((or _let_249 _let_248 _let_258 (not _let_347)))))) (let ((_let_476 (MACRO_RESOLUTION_TRUST _let_370 _let_247 _let_371 _let_369 _let_376 _let_367 _let_384 _let_363 _let_383 _let_362 _let_361 _let_360 (MACRO_RESOLUTION_TRUST _let_475 _let_474 _let_443 _let_442 _let_429 _let_247 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a912 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_419)) :args ((or _let_81 _let_301 _let_418 _let_457))) (REORDERING (CNF_OR_POS :args (_let_456)) :args ((or _let_81 _let_301 _let_417 _let_473))) :args ((or _let_81 _let_301 _let_473 _let_457) false _let_417)) _let_472 _let_390 _let_389 _let_468 _let_247 _let_467 _let_247 _let_466 _let_412 _let_411 _let_406 _let_405 _let_247 _let_403 _let_402 _let_461 _let_459 _let_381 _let_380 _let_382 _let_448 :args ((or tptp.hskp28 _let_277 _let_269 _let_458 _let_457) true _let_258 false _let_186 false _let_188 false tptp.hskp12 false tptp.ndr1_0 true _let_246 true _let_456 false _let_347 true _let_81 false _let_178 false _let_348 false tptp.ndr1_0 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp27 false _let_336 false _let_334 false _let_305 false _let_331 false tptp.ndr1_0 true _let_329 true _let_328 true _let_455 true _let_454 true _let_143 true _let_146 true _let_140 false tptp.hskp21)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (tptp.a912 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) _let_453 _let_382 _let_381 _let_380 _let_449 _let_247 _let_448 _let_354 _let_353 _let_355 _let_327 :args ((or tptp.hskp28 tptp.hskp16 _let_269) false tptp.ndr1_0 true _let_253 true _let_252 true _let_254 true _let_251 true _let_257 true _let_284 false _let_255 false _let_278 false _let_280 false _let_279 false _let_277 false _let_419 false _let_349 true _let_140 true _let_143 true _let_146 false _let_350 false tptp.ndr1_0 false tptp.hskp21 true _let_271 false _let_272 true _let_270 true _let_274)))) (let ((_let_477 (ASSUME :args (_let_197)))) (let ((_let_478 (REORDERING (ASSUME :args (_let_116)) :args ((or _let_113 _let_115))))) (let ((_let_479 (not _let_337))) (let ((_let_480 (ASSUME :args (_let_199)))) (let ((_let_481 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_114 _let_239 _let_244 _let_479))) _let_478 _let_477 _let_480 :args ((or _let_113 _let_479) true _let_114 false _let_196 false _let_198)))) (let ((_let_482 (_let_338))) (let ((_let_483 (ASSUME :args _let_482))) (let ((_let_484 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_483 :args (tptp.a926 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_482)))) (let ((_let_485 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_338 (= U U)))))) (let ((_let_486 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_487 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_341 (= U V)))))) (let ((_let_488 (_let_341))) (let ((_let_489 ((not (= (tptp.c0_1 U) false))))) (let ((_let_490 (ASSUME :args _let_488))) (let ((_let_491 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_490 :args (tptp.a926 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_489)) :args _let_488)))) (let ((_let_492 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_490 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_489)) :args _let_488)))) (let ((_let_493 (REORDERING (CNF_OR_POS :args (_let_342)) :args ((or _let_114 _let_244 _let_241 (not _let_342)))))) (let ((_let_494 (REORDERING (CNF_OR_POS :args (_let_245)) :args ((or _let_114 _let_244 _let_240 (not _let_245)))))) (let ((_let_495 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a926 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_496 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_246 (= U V)))))) (let ((_let_497 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_350 (= U U)))))) (let ((_let_498 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_386 _let_351 _let_346))))) (let ((_let_499 (ASSUME :args (_let_171)))) (let ((_let_500 (ASSUME :args (_let_169)))) (let ((_let_501 (REORDERING (ASSUME :args (_let_66)) :args ((or _let_63 _let_65))))) (let ((_let_502 (not _let_345))) (let ((_let_503 (REORDERING (CNF_OR_POS :args (_let_345)) :args ((or _let_64 _let_344 _let_343 _let_502))))) (let ((_let_504 (MACRO_RESOLUTION_TRUST _let_503 _let_501 _let_500 _let_499 _let_498 _let_247 _let_497 _let_453 _let_466 _let_468 _let_247 _let_472 _let_475 _let_474 _let_443 _let_442 _let_429 _let_247 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_487 _let_486 _let_247 _let_485 _let_484 _let_481 _let_478 _let_477 _let_476 _let_416 _let_412 _let_411 _let_410 _let_406 _let_405 _let_247 _let_404 _let_403 _let_402 (MACRO_RESOLUTION_TRUST _let_401 (REORDERING (CNF_OR_POS :args (_let_356)) :args ((or _let_103 _let_100 _let_265 (not _let_356)))) _let_399 _let_398 _let_397 _let_247 _let_396 _let_395 _let_391 _let_387 _let_247 _let_385 _let_378 _let_376 _let_375 _let_371 _let_370 _let_247 _let_369 _let_368 _let_367 _let_363 _let_362 _let_361 _let_360 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_359 :args (tptp.a923 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_357)) :args ((or (not _let_277) _let_273 _let_271 _let_270 _let_352) false _let_265 true _let_100 true _let_103 false tptp.hskp14 false tptp.ndr1_0 true _let_309 true _let_306 true _let_303 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp21 true tptp.hskp7 false _let_257 false _let_288 false _let_254 false _let_253 false tptp.ndr1_0 true _let_252 true _let_285 true _let_251 true _let_284 false _let_278 false _let_280 false _let_279 false _let_356)) _let_355 _let_354 _let_353 _let_327 :args ((or _let_269 _let_352) true _let_64 false _let_168 false _let_170 false tptp.hskp5 false tptp.ndr1_0 true _let_351 true _let_350 true _let_349 false tptp.hskp27 false tptp.ndr1_0 true _let_348 true _let_347 true _let_258 false _let_186 false _let_188 false tptp.hskp12 false tptp.ndr1_0 true _let_346 true _let_246 true _let_245 true _let_240 false _let_345 false _let_342 false _let_341 false _let_340 false tptp.ndr1_0 true _let_339 true _let_338 true _let_337 true _let_114 false _let_196 false tptp.hskp16 true tptp.hskp28 false _let_336 false _let_334 false _let_300 false _let_305 false _let_331 false tptp.ndr1_0 true _let_330 true _let_329 true _let_328 true _let_277 true _let_270 true _let_271 false _let_272 true _let_274)))) (let ((_let_505 (or _let_275 _let_266 _let_103))) (let ((_let_506 (MACRO_RESOLUTION_TRUST _let_503 _let_501 _let_500 _let_499 _let_498 _let_247 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_487 _let_486 _let_247 _let_485 _let_484 _let_481 _let_478 _let_477 _let_449 _let_247 _let_497 :args ((or tptp.hskp28 _let_350 _let_330) true _let_64 false _let_168 false _let_170 false tptp.hskp5 false tptp.ndr1_0 true _let_346 true _let_246 true _let_245 true _let_240 false _let_345 false _let_342 false _let_341 false _let_340 false tptp.ndr1_0 true _let_339 true _let_338 true _let_337 true _let_114 false _let_196 false tptp.hskp16 false tptp.ndr1_0 true _let_351)))) (let ((_let_507 (or _let_239 _let_244 _let_240))) (let ((_let_508 (MACRO_RESOLUTION_TRUST _let_370 _let_247 _let_369 _let_371 _let_445 _let_375 _let_447 _let_378 _let_444 _let_443 _let_442 _let_397 _let_247 _let_429 _let_247 _let_396 _let_495 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_394 :args (tptp.a926 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_393)) :args _let_392)) _let_494 (REORDERING (CNF_OR_POS :args (_let_507)) :args ((or _let_239 _let_244 _let_240 (not _let_507)))) _let_493 _let_491 _let_487 _let_486 _let_247 _let_485 _let_484 _let_481 _let_478 _let_477 _let_480 :args ((or tptp.hskp28 _let_113 tptp.hskp14 _let_330) false tptp.ndr1_0 true _let_252 true _let_253 true _let_251 true _let_254 true _let_250 true _let_288 true _let_89 false _let_186 false _let_188 false tptp.hskp7 false tptp.ndr1_0 false tptp.hskp12 false tptp.ndr1_0 true _let_309 true _let_246 true _let_306 true _let_245 true _let_507 true _let_240 false _let_342 false _let_341 false _let_340 false tptp.ndr1_0 true _let_339 true _let_338 true _let_337 true _let_114 false _let_196 false _let_198)))) (let ((_let_509 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (tptp.a923 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)))) (let ((_let_510 (not _let_505))) (let ((_let_511 (not _let_267))) (let ((_let_512 (ASSUME :args (_let_193)))) (let ((_let_513 (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_103 _let_266 _let_265 _let_511))))) (let ((_let_514 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_505)) :args ((or _let_103 _let_266 _let_275 _let_510))) _let_513 _let_398 _let_512 :args ((or _let_99 _let_511 _let_510) false _let_265 true _let_103 false _let_192)))) (let ((_let_515 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_359 :args (tptp.a901 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_357)))) (let ((_let_516 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_251 (= U U)))))) (let ((_let_517 (or _let_291 _let_45 _let_289))) (let ((_let_518 (not _let_293))) (let ((_let_519 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_304 (= U V)))))) (let ((_let_520 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_306 (= U W)))))) (let ((_let_521 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_522 (_let_311))) (let ((_let_523 ((not (= (tptp.c2_1 V) false))))) (let ((_let_524 (ASSUME :args _let_522))) (let ((_let_525 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_305 (= U U)))))) (let ((_let_526 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp1 _let_386 _let_308 _let_307))))) (let ((_let_527 (ASSUME :args (_let_163)))) (let ((_let_528 (ASSUME :args (_let_161)))) (let ((_let_529 (REORDERING (ASSUME :args (_let_47)) :args ((or _let_44 _let_46))))) (let ((_let_530 (_let_293))) (let ((_let_531 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_517)) :args ((or _let_45 _let_291 _let_289 (not _let_517)))) (REORDERING (CNF_OR_POS :args _let_530) :args ((or _let_292 _let_291 _let_290 _let_518))) _let_529 _let_528 _let_527 _let_526 _let_247 _let_525 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_524 :args (tptp.a902 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_523)) :args _let_522)) _let_410 _let_521 _let_247 _let_416 _let_520 _let_420 _let_247 _let_519 _let_395 _let_424 _let_391 _let_426 _let_387 _let_247 _let_441 _let_247 _let_516 _let_368 :args ((or tptp.hskp21 _let_251 _let_518) true _let_289 true _let_45 false _let_160 false _let_162 false tptp.hskp1 false tptp.ndr1_0 true _let_308 false _let_517 true _let_305 false _let_311 false tptp.ndr1_0 true _let_300 true _let_310 false tptp.hskp28 false tptp.ndr1_0 true _let_307 true _let_306 true _let_304 true _let_303 true _let_296 false tptp.hskp10 false tptp.ndr1_0 false tptp.hskp25 false tptp.ndr1_0 true _let_286 true _let_285)))) (let ((_let_532 (REFL :args _let_530))) (let ((_let_533 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_293 0)) (CONG _let_532 (MACRO_SR_PRED_INTRO :args ((= (not _let_292) _let_162))) :args _let_324)) :args ((or _let_162 _let_293))))) (let ((_let_534 (REORDERING (EQ_RESOLVE (CNF_OR_NEG 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_let_681))))) (let ((_let_691 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_681 1)) (CONG _let_689 (MACRO_SR_PRED_INTRO :args ((= (not _let_263) _let_262))) :args _let_324)) :args ((or _let_262 _let_681))))) (let ((_let_692 (CNF_OR_NEG :args (_let_681 2)))) (let ((_let_693 (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_263 _let_261 _let_260 _let_665))))) (let ((_let_694 (not _let_348))) (let ((_let_695 (_let_694))) (let ((_let_696 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_695)) :args _let_695)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_694) _let_348))) (REFL :args ((not _let_681))) :args _let_324)))) (let ((_let_697 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_471 :args (tptp.a954 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_470)) :args _let_469)))) (let ((_let_698 (not _let_684))) (let ((_let_699 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_684)) :args ((or _let_151 _let_683 _let_682 _let_698))) (REORDERING (ASSUME :args (_let_153)) :args ((or _let_150 _let_152))) (ASSUME :args (_let_205)) (ASSUME :args (_let_207)) :args ((or _let_150 _let_698) true _let_151 false _let_204 false _let_206)))) (let ((_let_700 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp23 tptp.hskp15 _let_386 _let_686))))) (let ((_let_701 (_let_686))) (let ((_let_702 ((not (= (tptp.c2_1 U) false))))) (let ((_let_703 (ASSUME :args _let_701))) (let ((_let_704 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_703 :args (tptp.a900 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_702)) :args _let_701)) _let_700 _let_247 (REORDERING (CNF_OR_POS :args (_let_685)) :args ((or _let_235 _let_234 _let_333 (not _let_685)))) _let_699 (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_236 _let_235 _let_332 (not _let_676)))) _let_697 _let_465 _let_464 _let_463 _let_696 _let_467 _let_247 (MACRO_RESOLUTION_TRUST _let_693 (REORDERING (CNF_OR_POS :args (_let_680)) :args ((or _let_679 _let_261 _let_677 _let_688))) _let_692 _let_691 _let_690 :args ((or _let_681 _let_688 _let_665) true _let_260 true _let_261 false _let_262 false _let_678)) _let_391 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_394 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_393)) :args _let_392)) _let_395 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_394 :args (tptp.a900 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_393)) :args _let_392)) :args ((or tptp.hskp15 _let_455 _let_687 _let_665) false _let_686 false tptp.ndr1_0 true _let_685 true tptp.hskp23 false _let_332 false _let_684 false _let_212 false _let_215 false _let_217 false _let_348 false tptp.hskp27 false tptp.ndr1_0 false _let_681 true tptp.hskp10 false _let_680 false _let_303 false _let_676)))) (let ((_let_705 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_254 (= U W)))))) (let ((_let_706 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_707 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_708 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_709 (tptp.c2_1 tptp.a916))) (let ((_let_710 (or _let_298 _let_297 _let_709))) (let ((_let_711 (not _let_709))) (let ((_let_712 (or _let_298 _let_711 _let_297))) (let ((_let_713 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_254 (= U V)))))) (let ((_let_714 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 _let_386 _let_707 _let_706))))) (let ((_let_715 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_708 (= U U)))))) (let ((_let_716 ((not (= (tptp.c3_1 U) false))))) (let ((_let_717 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (tptp.a916 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_716)) :args _let_364)))) (let ((_let_718 (_let_708))) (let ((_let_719 ((not (= (tptp.c1_1 U) false))))) (let ((_let_720 (ASSUME :args _let_718))) (let ((_let_721 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (tptp.a916 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_719)) :args _let_718)))) (let ((_let_722 (REORDERING (CNF_OR_POS :args (_let_710)) :args ((or _let_298 _let_297 _let_709 (not _let_710)))))) (let ((_let_723 (REORDERING (CNF_OR_POS :args (_let_712)) :args ((or _let_298 _let_297 _let_711 (not _let_712)))))) (let ((_let_724 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_725 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_341 (= U V)))))) (let ((_let_726 (MACRO_RESOLUTION_TRUST _let_493 _let_491 _let_494 _let_725 _let_478 _let_477 _let_724 _let_247 (MACRO_RESOLUTION_TRUST _let_723 _let_722 _let_721 _let_717 _let_715 _let_369 _let_714 _let_247 _let_370 _let_247 _let_713 _let_371 :args ((or tptp.hskp16 _let_254 _let_298 _let_297) false _let_709 false _let_712 false _let_710 false _let_708 false _let_251 false _let_707 false tptp.ndr1_0 false _let_252 false tptp.ndr1_0 true _let_706 true _let_253)) _let_705 _let_375 _let_378 (MACRO_RESOLUTION_TRUST _let_396 _let_397 _let_247 _let_704 _let_514 _let_675 _let_509 _let_671 _let_656 _let_657 _let_247 :args ((or tptp.hskp13 tptp.hskp7 _let_455 _let_511 _let_665 _let_670) false _let_309 false tptp.ndr1_0 true _let_306 true tptp.hskp14 true tptp.hskp15 false _let_505 false _let_669 false _let_350 false _let_653 false tptp.ndr1_0)) _let_667 _let_434 _let_666 _let_495 :args ((or _let_455 _let_568 _let_298 _let_297 (not _let_246) _let_511 _let_665) false _let_342 false _let_240 false _let_341 true _let_114 false _let_196 false _let_664 false tptp.ndr1_0 false tptp.hskp16 true _let_663 true _let_254 true _let_288 false tptp.hskp7 true tptp.hskp13 false _let_428 false _let_662 false _let_245)))) (let ((_let_727 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_246 (= U V)))))) (let ((_let_728 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_729 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_594 (= U U)))))) (let ((_let_730 (_let_594))) (let ((_let_731 ((not (= (tptp.c0_1 U) false))))) (let ((_let_732 (ASSUME :args _let_730))) (let ((_let_733 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)))) (let ((_let_734 (REORDERING (CNF_OR_POS :args (_let_621)) :args ((or _let_64 _let_344 _let_618 (not _let_621)))))) (let ((_let_735 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_365)) :args _let_364)))) (let ((_let_736 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 tptp.hskp11 _let_386 _let_708))))) (let ((_let_737 (MACRO_RESOLUTION_TRUST _let_447 _let_444 _let_443 _let_442 _let_736 _let_247 _let_721 _let_723 _let_722 _let_445 _let_717 :args ((or tptp.hskp11 _let_298 _let_297 _let_622) true _let_89 false _let_186 false _let_188 false tptp.hskp12 false tptp.ndr1_0 true _let_708 true _let_712 false _let_709 false _let_250 false _let_710)))) (let ((_let_738 (MACRO_RESOLUTION_TRUST _let_447 _let_444 _let_443 _let_442 :args ((or _let_88 _let_446) true _let_89 false _let_186 false _let_188)))) (let ((_let_739 (ASSUME :args (_let_183)))) (let ((_let_740 (REORDERING (ASSUME :args (_let_87)) :args ((or _let_84 _let_86))))) (let ((_let_741 (not _let_584))) (let ((_let_742 (not _let_572))) (let ((_let_743 (ASSUME :args (_let_185)))) (let ((_let_744 (REORDERING (CNF_OR_POS :args (_let_572)) :args ((or _let_85 _let_569 _let_571 _let_742))))) (let ((_let_745 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_584)) :args ((or _let_583 _let_569 _let_570 _let_741))) _let_744 _let_739 _let_743 :args ((or _let_84 _let_85 _let_742 _let_741) true _let_570 false _let_182 false _let_184)) _let_740 :args ((or _let_84 _let_742 _let_741) true _let_85)))) (let ((_let_746 (not _let_164))) (let ((_let_747 (or _let_746 _let_53 _let_50))) (let ((_let_748 (not _let_747))) (let ((_let_749 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c0_1 U) (tptp.c1_1 U))))) (let ((_let_750 (or _let_661 _let_110 _let_107))) (let ((_let_751 (_let_749))) (let ((_let_752 ((not (= (tptp.c1_1 U) true))))) (let ((_let_753 (ASSUME :args _let_751))) (let ((_let_754 (not _let_750))) (let ((_let_755 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_756 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_757 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_758 (not _let_757))) (let ((_let_759 (or _let_758 _let_756 _let_755))) (let ((_let_760 (not _let_755))) (let ((_let_761 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_762 (not _let_761))) (let ((_let_763 (or _let_762 _let_758 _let_760))) (let ((_let_764 (or _let_762 _let_758 _let_756))) (let ((_let_765 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_766 (or _let_583 _let_570 _let_85))) (let ((_let_767 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_386 _let_305 _let_765))))) (let ((_let_768 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_585 (= U V)))))) (let ((_let_769 (_let_585))) (let ((_let_770 ((not (= (tptp.c0_1 U) false))))) (let ((_let_771 (ASSUME :args _let_769))) (let ((_let_772 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)))) (let ((_let_773 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_774 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_719)) :args _let_718)))) (let ((_let_775 (_let_687))) (let ((_let_776 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_775)) :args _let_775)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_687) _let_306))) (REFL :args ((not _let_764))) :args _let_324)))) (let ((_let_777 (REFL :args (_let_764)))) (let ((_let_778 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_764 0)) (CONG _let_777 (MACRO_SR_PRED_INTRO :args ((= (not _let_762) _let_761))) :args _let_324)) :args ((or _let_761 _let_764))))) (let ((_let_779 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_764 1)) (CONG _let_777 (MACRO_SR_PRED_INTRO :args ((= (not _let_758) _let_757))) :args _let_324)) :args ((or _let_757 _let_764))))) (let ((_let_780 (CNF_OR_NEG :args (_let_764 2)))) (let ((_let_781 (REORDERING (CNF_OR_POS :args (_let_759)) :args ((or _let_758 _let_756 _let_755 (not _let_759)))))) (let ((_let_782 (REORDERING (CNF_OR_POS :args (_let_763)) :args ((or _let_762 _let_758 _let_760 (not _let_763)))))) (let ((_let_783 (MACRO_RESOLUTION_TRUST _let_782 _let_781 _let_780 _let_779 _let_778 _let_776 _let_704 _let_774 _let_461 _let_736 _let_247 _let_459 _let_745 _let_773 _let_382 _let_381 _let_380 _let_772 _let_429 _let_247 _let_448 _let_420 _let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)) (REORDERING (CNF_OR_POS :args (_let_766)) :args ((or _let_85 _let_583 _let_570 (not _let_766)))) _let_768 _let_744 _let_767 _let_247 _let_740 _let_739 _let_743 _let_410 _let_737 _let_416 _let_415 _let_414 _let_735 :args ((or _let_220 tptp.hskp15 _let_622) true _let_766 false _let_585 true _let_570 false _let_765 false tptp.ndr1_0 true _let_85 false _let_182 false _let_184 true _let_305 false tptp.hskp11 true _let_300 false _let_219 false _let_222 false _let_572)) _let_738 _let_445 _let_735 :args ((or tptp.hskp15 _let_622 _let_665) false _let_755 true _let_756 false _let_757 false _let_761 true _let_764 true _let_306 false _let_763 true _let_455 false _let_708 false tptp.ndr1_0 true _let_454 true tptp.hskp11 false _let_759 true _let_140 true _let_143 true _let_146 false _let_584 false _let_246 false tptp.ndr1_0 false tptp.hskp21 false _let_304 false tptp.ndr1_0 true tptp.hskp28 true tptp.hskp12 false _let_250 false _let_572)))) (let ((_let_784 (MACRO_RESOLUTION_TRUST _let_459 _let_382 _let_381 _let_380 _let_387 _let_247 _let_461 _let_391 _let_704 _let_395 _let_396 _let_397 _let_247 (MACRO_RESOLUTION_TRUST _let_401 _let_513 _let_399 _let_398 _let_512 _let_566 _let_504 :args ((or _let_99 _let_352) false _let_265 true _let_100 true _let_103 false _let_192 false _let_267 false _let_269)) _let_378 _let_375 _let_371 _let_370 _let_247 _let_369 _let_368 _let_783 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_750)) :args ((or _let_110 _let_107 _let_661 _let_754))) (REORDERING (ASSUME :args (_let_109)) :args ((or _let_106 _let_108))) _let_674 _let_673 :args ((or _let_106 _let_754) true _let_107 true _let_110 false _let_194)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_753 :args (tptp.a924 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_752)) :args _let_751)) _let_564 _let_504 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_753 :args (tptp.a923 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_752)) :args _let_751)) :args ((not _let_749) true _let_140 true _let_143 true _let_146 false tptp.hskp21 false tptp.ndr1_0 false _let_454 true tptp.hskp10 false _let_455 false _let_303 false _let_306 false _let_309 false tptp.ndr1_0 true tptp.hskp14 true tptp.hskp7 false _let_288 false _let_254 false _let_253 false tptp.ndr1_0 true _let_252 true _let_285 true _let_251 true tptp.hskp15 false _let_750 false _let_264 false _let_269 false _let_276)))) (let ((_let_785 (not _let_166))) (let ((_let_786 (or _let_785 _let_60 _let_57))) (let ((_let_787 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (tptp.a905 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_562)) :args _let_561)))) (let ((_let_788 (not _let_786))) (let ((_let_789 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_786)) :args ((or _let_60 _let_57 _let_785 _let_788))) (REORDERING (ASSUME :args (_let_59)) :args ((or _let_56 _let_58))) (REORDERING (ASSUME :args (_let_62)) :args ((or _let_56 _let_61))) (ASSUME :args (_let_167)) :args ((or _let_56 _let_788) true _let_57 true _let_60 false _let_166)))) (let ((_let_790 (MACRO_RESOLUTION_TRUST _let_789 (MACRO_RESOLUTION_TRUST _let_787 _let_560 :args (_let_786 false _let_269)) :args (_let_56 false _let_786)))) (let ((_let_791 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp4 tptp.hskp3 _let_386 _let_749))))) (let ((_let_792 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_747)) :args ((or _let_53 _let_50 _let_746 _let_748))) (REORDERING (ASSUME :args (_let_52)) :args ((or _let_49 _let_51))) (REORDERING (ASSUME :args (_let_55)) :args ((or _let_49 _let_54))) (ASSUME :args (_let_165)) :args ((or _let_49 _let_748) true _let_50 true _let_53 false _let_164)))) (let ((_let_793 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (tptp.a904 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)))) (let ((_let_794 (_let_587))) (let ((_let_795 (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_796 (or _let_41 _let_38 _let_35))) (let ((_let_797 (not _let_576))) (let ((_let_798 (or _let_575 _let_128 _let_573))) (let ((_let_799 (MACRO_RESOLUTION_TRUST _let_725 _let_724 _let_247 _let_492 _let_705 _let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (tptp.a937 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_373)) :args _let_372)) _let_498 _let_247 (REORDERING (CNF_OR_POS :args (_let_798)) :args ((or _let_128 _let_575 _let_573 (not _let_798)))) _let_497 (REORDERING (CNF_OR_POS :args (_let_576)) :args ((or _let_128 _let_575 _let_574 _let_797))) _let_509 (REORDERING (ASSUME :args (_let_130)) :args ((or _let_127 _let_129))) (ASSUME :args (_let_201)) _let_514 _let_567 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 tptp.hskp18 _let_386 _let_587))) _let_247 (ASSUME :args (_let_229)) _let_790 :args ((or tptp.hskp20 _let_587 _let_346 _let_568 _let_797) false _let_664 false tptp.ndr1_0 true _let_341 true _let_663 true _let_345 true _let_254 false tptp.hskp5 false tptp.ndr1_0 true _let_798 true _let_351 true _let_573 true _let_350 true _let_128 false _let_200 true _let_505 false _let_267 false tptp.hskp18 false tptp.ndr1_0 false tptp.hskp14 true tptp.hskp4)))) (let ((_let_800 (not _let_593))) (let ((_let_801 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_593)) :args ((or _let_136 _let_133 _let_592 _let_800))) (REORDERING (ASSUME :args (_let_135)) :args ((or _let_132 _let_134))) (ASSUME :args (_let_203)) :args ((or _let_132 _let_136 _let_800) true _let_133 false _let_202)) (REORDERING (ASSUME :args (_let_138)) :args ((or _let_132 _let_137))) :args ((or _let_132 _let_800) true _let_136)))) (let ((_let_802 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (tptp.a939 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)))) (let ((_let_803 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_359 :args (tptp.a936 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_357)))) (let ((_let_804 (REORDERING (CNF_OR_POS :args (_let_598)) :args ((or _let_124 _let_121 _let_597 (not _let_598)))))) (let ((_let_805 (REORDERING (CNF_OR_POS :args (_let_600)) :args ((or _let_121 _let_118 _let_599 (not _let_600)))))) (let ((_let_806 (_let_601))) (let ((_let_807 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_806) :args (tptp.a936 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_806)))) (let ((_let_808 (_let_795))) (let ((_let_809 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 tptp.hskp6 _let_386 _let_601))))) (let ((_let_810 (not _let_582))) (let ((_let_811 (MACRO_RESOLUTION_TRUST _let_537 _let_541 _let_399 _let_398 _let_512 _let_543 _let_247 _let_809 _let_247 (MACRO_RESOLUTION_TRUST _let_548 _let_546 _let_545 _let_544 :args ((or _let_67 _let_547) true _let_68 false _let_172 false _let_174)) _let_552 _let_636 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_582)) :args ((or _let_581 _let_577 _let_579 _let_810))) _let_642 _let_639 _let_641 :args ((or _let_604 _let_640 _let_810) false _let_578 true _let_577 false _let_580)) _let_807 _let_805 _let_804 _let_803 _let_659 _let_728 _let_247 _let_729 _let_802 _let_801 _let_799 _let_378 _let_727 _let_496 _let_631 _let_375 _let_434 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_254 (= U U)))) _let_667 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 _let_386 _let_589 _let_588))) _let_247 _let_430 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_796)) :args ((or _let_41 _let_38 _let_35 (not _let_796)))) _let_557 _let_556 _let_555 _let_554 _let_247 _let_553 _let_552 _let_548 _let_546 _let_545 _let_544 _let_809 _let_247 _let_514 _let_567 _let_509 _let_497 _let_498 _let_247 _let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_808) :args (tptp.a901 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 W) true))))) :args _let_808)) _let_492 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) _let_247 _let_725 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_601 (= U U)))) _let_724 _let_247 _let_807 _let_705 _let_805 _let_376 _let_804 _let_385 _let_803 _let_361 _let_659 _let_728 _let_247 _let_729 _let_802 _let_801 _let_799 _let_727 _let_496 _let_726 _let_565 _let_567 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_455 (= U V)))) _let_461 _let_459 _let_382 _let_381 _let_380 :args ((or _let_139 _let_124 _let_121 _let_118 _let_587 _let_318 _let_568 _let_298 _let_297 _let_797) true _let_35 true _let_38 true _let_41 false tptp.hskp0 false tptp.ndr1_0 true _let_323 true _let_322 true _let_321 true _let_68 false _let_172 false _let_174 false tptp.hskp6 false tptp.ndr1_0 true tptp.hskp14 false _let_267 false _let_505 false _let_350 false _let_351 false tptp.ndr1_0 true tptp.hskp5 false _let_796 false _let_345 false _let_795 false tptp.ndr1_0 false _let_341 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))) false _let_664 false tptp.ndr1_0 true _let_601 true _let_663 true _let_600 true _let_254 false _let_597 true _let_257 false _let_598 false _let_280 false _let_277 false _let_596 false tptp.ndr1_0 true _let_595 true _let_594 true _let_593 false tptp.hskp20 true _let_591 true _let_346 true _let_246 false _let_264 false _let_267 true (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V))) true _let_455 true _let_454 true _let_140 true _let_143 true _let_146)) _let_542 _let_539 _let_536 _let_529 _let_528 _let_527 _let_526 _let_247 _let_519 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_304 (= U V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_794) :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_794)) (REORDERING (ASSUME :args (_let_120)) :args ((or _let_117 _let_119))) (REORDERING (ASSUME :args (_let_123)) :args ((or _let_117 _let_122))) (REORDERING (ASSUME :args (_let_126)) :args ((or _let_117 _let_125))) _let_772 (REORDERING (CNF_OR_POS :args (_let_586)) :args ((or _let_85 _let_569 _let_570 (not _let_586)))) _let_744 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 tptp.hskp12 _let_386 _let_585))) _let_247 (MACRO_RESOLUTION_TRUST _let_793 (MACRO_RESOLUTION_TRUST _let_792 (MACRO_RESOLUTION_TRUST _let_791 _let_790 _let_247 _let_784 :args (tptp.hskp3 true tptp.hskp4 false tptp.ndr1_0 true _let_749)) :args (_let_748 false tptp.hskp3)) :args ((not _let_585) true _let_747)) _let_745 _let_740 _let_739 _let_738 _let_737 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_365)) :args _let_364)) _let_445 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (tptp.a937 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_365)) :args _let_364)) _let_735 (MACRO_RESOLUTION_TRUST _let_734 _let_733 (REORDERING (CNF_OR_POS :args (_let_620)) :args ((or _let_64 _let_343 _let_619 (not _let_620)))) _let_729 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_483 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_658)) :args _let_482)) _let_728 _let_247 _let_485 _let_727 _let_486 _let_247 _let_726 _let_565 _let_567 _let_404 _let_659 _let_461 _let_361 _let_459 _let_385 _let_382 _let_381 _let_380 (MACRO_RESOLUTION_TRUST _let_486 _let_247 _let_404 _let_485 _let_515 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_483 :args (tptp.a921 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_658)) :args _let_482)) _let_558 (REORDERING (CNF_OR_POS :args (_let_655)) :args ((or _let_93 _let_427 _let_654 (not _let_655)))) _let_559 (REORDERING (CNF_OR_POS :args (_let_652)) :args ((or _let_93 _let_427 _let_651 (not _let_652)))) _let_557 _let_556 _let_555 _let_437 _let_435 _let_554 _let_247 _let_657 _let_247 _let_542 _let_656 _let_539 _let_509 _let_536 _let_535 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_524 :args (tptp.a921 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_523)) :args _let_522)) _let_514 _let_567 _let_529 _let_521 _let_247 _let_397 _let_247 _let_526 _let_247 _let_520 _let_396 _let_519 _let_395 _let_424 _let_391 _let_534 _let_533 _let_426 _let_387 _let_247 _let_531 _let_441 _let_247 _let_368 _let_516 _let_553 _let_487 _let_492 _let_650 _let_649 _let_378 _let_375 _let_648 _let_647 _let_643 _let_638 _let_639 _let_642 _let_631 _let_371 _let_370 _let_247 _let_369 _let_636 _let_633 _let_632 _let_626 _let_630 _let_627 _let_629 _let_560 _let_628 _let_624 :args ((or tptp.hskp21 _let_251 _let_308) false tptp.ndr1_0 true _let_330 true _let_339 true _let_277 true _let_338 true _let_282 true _let_655 true _let_281 false _let_651 true _let_35 true _let_38 true _let_41 true _let_93 false _let_190 false tptp.hskp0 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0 true _let_318 true _let_653 true _let_316 true _let_350 true _let_314 false _let_313 false _let_652 true _let_505 false _let_267 true _let_45 false _let_311 false tptp.ndr1_0 false tptp.hskp14 false tptp.ndr1_0 false tptp.hskp1 false tptp.ndr1_0 true _let_310 true _let_309 true _let_307 true _let_306 true _let_304 true _let_303 false _let_160 false _let_162 true _let_296 false tptp.hskp10 false tptp.ndr1_0 true _let_293 false tptp.hskp25 false tptp.ndr1_0 true _let_285 true _let_286 true _let_323 true _let_340 true _let_341 true _let_345 false tptp.hskp5 true tptp.hskp7 false _let_288 true _let_617 true _let_616 true _let_615 false _let_602 true _let_577 false _let_578 false _let_590 false _let_254 false _let_253 false tptp.ndr1_0 true _let_252 true _let_604 true _let_322 true _let_614 false _let_608 false _let_611 false _let_606 false _let_612 false _let_269 true _let_605 true _let_610)) _let_487 _let_492 _let_650 _let_501 _let_500 _let_499 _let_649 _let_247 _let_648 _let_647 _let_643 _let_642 _let_639 _let_638 _let_636 _let_633 _let_378 _let_632 _let_376 _let_631 _let_375 _let_630 (MACRO_RESOLUTION_TRUST _let_629 _let_560 :args (_let_612 false _let_269)) _let_371 _let_628 _let_627 _let_626 _let_370 _let_247 _let_624 _let_369 :args ((or _let_251 _let_308 _let_568 _let_298 _let_297) false _let_621 true _let_618 false _let_594 false _let_620 false _let_595 false tptp.ndr1_0 false _let_338 true _let_591 false _let_339 false tptp.ndr1_0 true _let_246 false _let_264 false _let_267 true _let_330 true _let_596 true _let_455 true _let_277 true _let_454 true _let_280 true _let_140 true _let_143 true _let_146 false tptp.hskp21 true _let_340 true _let_341 true _let_345 true _let_64 false _let_168 false _let_170 false tptp.hskp5 false tptp.ndr1_0 true _let_617 true _let_616 true _let_615 false _let_578 true _let_577 false _let_602 true _let_604 true _let_322 true tptp.hskp7 true _let_614 false _let_257 false _let_590 false _let_288 false _let_611 false _let_612 false _let_254 true _let_605 false _let_606 false _let_608 false _let_253 false tptp.ndr1_0 true _let_610 true _let_252)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_305 (= U U)))) _let_525 _let_410 _let_416 _let_415 _let_414 :args (_let_220 false _let_315 true _let_100 true _let_103 false _let_192 false _let_317 false tptp.ndr1_0 false tptp.hskp14 false tptp.ndr1_0 true tptp.hskp6 false _let_321 false _let_322 false _let_604 true _let_601 true _let_600 false _let_597 false _let_598 false _let_277 false _let_596 false tptp.ndr1_0 true _let_595 true _let_594 true _let_593 false tptp.hskp20 true tptp.hskp7 true _let_591 true _let_346 false _let_590 false _let_288 true _let_246 false _let_254 true _let_428 false _let_589 false tptp.ndr1_0 false tptp.hskp13 true tptp.hskp21 true _let_318 true _let_316 true _let_314 true _let_45 false _let_160 false _let_162 false tptp.hskp1 false tptp.ndr1_0 true _let_307 true _let_588 true _let_587 true _let_118 true _let_121 true _let_124 true _let_304 true _let_586 true _let_570 false tptp.hskp17 false tptp.ndr1_0 true _let_585 true _let_584 true _let_85 false _let_182 true tptp.hskp12 false tptp.hskp11 false _let_582 false _let_250 false _let_576 false _let_572 false _let_251 true _let_568 true _let_308 true _let_305 true _let_300 false _let_219 false _let_222)))) (let ((_let_812 (not _let_259))) (let ((_let_813 (or _let_335 _let_248 _let_89))) (let ((_let_814 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V))))) (let ((_let_815 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c3_1 U))))) (let ((_let_816 (or _let_344 _let_619 _let_64))) (let ((_let_817 (_let_238))) (let ((_let_818 ((not (= (tptp.c0_1 U) false))))) (let ((_let_819 (ASSUME :args _let_817))) (let ((_let_820 (MACRO_RESOLUTION_TRUST _let_369 (MACRO_RESOLUTION_TRUST _let_370 _let_247 (MACRO_RESOLUTION_TRUST _let_371 (MACRO_RESOLUTION_TRUST _let_376 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_715 _let_714 _let_247 _let_774 _let_713 _let_782 _let_375 _let_781 _let_378 _let_780 _let_779 _let_778 _let_397 _let_247 _let_776 _let_396 _let_704 _let_675 _let_773 _let_666 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_816)) :args ((or _let_64 _let_344 _let_619 (not _let_816)))) _let_734 _let_501 _let_499 _let_649 _let_247 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_819 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_818)) :args _let_817)) _let_378 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_238 (= U U)))) _let_375 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 _let_386 _let_815 _let_814))) _let_247 _let_371 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_616 (= U V)))) _let_648 _let_370 _let_247 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_646 :args (tptp.a917 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_645)) :args _let_644)) _let_369 (REORDERING (CNF_OR_POS :args (_let_813)) :args ((or _let_89 _let_248 _let_335 (not _let_813)))) _let_445 _let_733 (REORDERING (CNF_OR_POS :args (_let_259)) :args ((or _let_89 _let_248 _let_258 _let_812))) _let_447 _let_729 _let_444 _let_443 _let_442 _let_728 _let_247 _let_429 _let_247 _let_727 _let_426 _let_424 _let_420 _let_247 :args ((or tptp.hskp28 _let_246 _let_596 _let_812) false _let_618 true _let_64 false _let_170 false tptp.hskp5 false tptp.ndr1_0 false _let_816 true tptp.hskp7 false _let_238 false _let_288 false _let_815 false tptp.ndr1_0 false _let_254 true _let_814 true _let_617 false _let_253 false tptp.ndr1_0 true _let_616 true _let_252 true _let_813 true _let_251 false _let_621 false _let_258 true _let_250 false _let_594 true _let_89 false _let_186 false _let_188 false _let_595 false tptp.ndr1_0 false tptp.hskp12 false tptp.ndr1_0 true _let_591 true tptp.hskp25 false _let_296 false _let_304 false tptp.ndr1_0)) _let_508 _let_514 _let_509 _let_671 _let_506 :args ((or tptp.hskp28 _let_455 _let_596 _let_330 _let_511 _let_665 _let_812) false _let_707 false tptp.ndr1_0 true _let_708 true _let_706 true _let_763 true _let_254 false _let_755 true _let_288 true _let_756 false _let_757 false _let_761 false tptp.hskp7 false tptp.ndr1_0 true _let_764 true _let_309 true _let_306 true tptp.hskp15 false _let_759 false _let_662 false _let_246 true tptp.hskp16 true tptp.hskp14 false _let_505 false _let_669 false _let_350)) _let_404 _let_659 _let_461 _let_361 _let_459 _let_385 _let_382 _let_381 _let_380 _let_448 :args ((or tptp.hskp28 _let_268 _let_511 _let_665 _let_812) true _let_330 true _let_596 true _let_455 true _let_277 true _let_454 true _let_280 true _let_140 true _let_143 true _let_146 false tptp.hskp21)) _let_811 _let_567 _let_565 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (tptp.a917 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_562)) :args _let_561)) _let_560 :args (_let_259 false _let_269)) :args (_let_268 true tptp.hskp28 false _let_267 false _let_264 false _let_259)) :args ((not _let_254) true _let_257)) :args ((not _let_253) true _let_254)) :args (_let_252 false tptp.ndr1_0 true _let_253)) :args (_let_251 false _let_252)))) (let ((_let_821 (MACRO_RESOLUTION_TRUST _let_738 (MACRO_RESOLUTION_TRUST _let_445 _let_820 :args (_let_250 false _let_251)) :args (_let_88 false _let_250)))) (let ((_let_822 (MACRO_RESOLUTION_TRUST _let_429 _let_811 _let_821 _let_247 :args (_let_246 true tptp.hskp28 true tptp.hskp12 false tptp.ndr1_0)))) (let ((_let_823 (or _let_609 _let_607 _let_611))) (let ((_let_824 (or _let_603 _let_581 _let_579))) (let ((_let_825 (or _let_677 _let_263 _let_261))) (let ((_let_826 (or _let_679 _let_677 _let_263))) (let ((_let_827 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_828 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_829 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_830 (not _let_829))) (let ((_let_831 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_832 (not _let_831))) (let ((_let_833 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_834 (not _let_833))) (let ((_let_835 (or _let_834 _let_832 _let_830))) (let ((_let_836 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_837 (not _let_836))) (let ((_let_838 (or _let_837 _let_830 _let_831))) (let ((_let_839 (or _let_834 _let_837 _let_830))) (let ((_let_840 (not _let_835))) (let ((_let_841 (not _let_838))) (let ((_let_842 (REFL :args (_let_839)))) (let ((_let_843 (not _let_305))) (let ((_let_844 (_let_843))) (let ((_let_845 (MACRO_RESOLUTION_TRUST _let_449 _let_811 _let_247 (MACRO_RESOLUTION_TRUST _let_671 (MACRO_RESOLUTION_TRUST _let_675 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_791 _let_247 _let_784 _let_792 _let_789 _let_793 _let_787 _let_768 _let_405 _let_247 _let_767 _let_247 _let_406 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_409 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_408)) :args _let_407)) _let_403 (REORDERING (CNF_OR_POS :args (_let_824)) :args ((or _let_603 _let_581 _let_579 (not _let_824)))) _let_361 _let_642 _let_641 _let_638 _let_385 _let_636 (MACRO_RESOLUTION_TRUST _let_447 _let_444 _let_443 _let_442 _let_440 _let_416 _let_410 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_844)) :args _let_844)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_843) _let_305))) (REFL :args ((not _let_839))) :args _let_324)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_838)) :args ((or _let_837 _let_830 _let_831 _let_841))) (REORDERING (CNF_OR_POS :args (_let_835)) :args ((or _let_834 _let_830 _let_832 _let_840))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_839 2)) (CONG _let_842 (MACRO_SR_PRED_INTRO :args ((= (not _let_830) _let_829))) :args _let_324)) :args ((or _let_829 _let_839))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_839 1)) (CONG _let_842 (MACRO_SR_PRED_INTRO :args ((= (not _let_837) _let_836))) :args _let_324)) :args ((or _let_836 _let_839))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_839 0)) (CONG _let_842 (MACRO_SR_PRED_INTRO :args ((= (not _let_834) _let_833))) :args _let_324)) :args ((or _let_833 _let_839))) :args ((or _let_839 _let_841 _let_840) true _let_831 false _let_829 false _let_836 false _let_833)) _let_445 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_716)) :args _let_364)) _let_531 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_703 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_702)) :args _let_701)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_703 :args (tptp.a902 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_702)) :args _let_701)) :args ((or tptp.hskp21 (not _let_686)) true _let_89 false _let_186 false _let_188 false tptp.hskp12 true tptp.hskp28 false _let_300 false _let_305 false _let_839 false _let_250 false _let_838 false _let_251 false _let_835 false _let_293)) _let_633 _let_700 _let_247 _let_632 _let_699 (REORDERING (CNF_OR_POS :args (_let_823)) :args ((or _let_609 _let_607 _let_611 (not _let_823)))) _let_697 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_471 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_470)) :args _let_469)) _let_696 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_386 _let_828 _let_827))) _let_247 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_708 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_350 (= U V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_719)) :args _let_718)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) (REORDERING (CNF_OR_POS :args (_let_826)) :args ((or _let_679 _let_263 _let_677 (not _let_826)))) (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_263 _let_261 _let_677 (not _let_825)))) _let_693 _let_692 _let_691 _let_690 :args ((or tptp.hskp15 _let_681 _let_665) false tptp.ndr1_0 true _let_828 true _let_827 true _let_708 true _let_350 true _let_826 true _let_825 false _let_260 true _let_261 false _let_262 false _let_678)) _let_376 _let_631 _let_371 _let_628 _let_627 _let_626 _let_370 _let_247 _let_624 _let_369 _let_783 :args ((or tptp.hskp15 _let_665) false tptp.ndr1_0 true _let_749 true tptp.hskp3 true tptp.hskp4 false _let_747 false _let_786 false _let_585 false _let_269 false tptp.ndr1_0 false _let_765 false tptp.ndr1_0 true _let_331 true _let_305 true _let_329 true _let_824 true _let_277 false _let_578 false _let_580 false _let_602 true _let_280 true _let_604 false tptp.hskp21 true _let_322 false _let_686 false tptp.ndr1_0 true _let_614 true tptp.hskp23 false _let_611 false _let_684 false _let_823 false _let_348 false _let_681 false _let_257 false _let_590 false _let_254 true _let_605 false _let_606 false _let_608 false _let_253 false tptp.ndr1_0 true _let_610 true _let_252 true _let_251)) _let_565 :args (tptp.hskp15 false _let_264)) (MACRO_RESOLUTION_TRUST _let_666 _let_822 :args (_let_662 false _let_246)) :args (_let_672 false tptp.hskp15 false _let_662)) :args ((not _let_350) true _let_669)) :args (tptp.hskp16 true tptp.hskp28 false tptp.ndr1_0 true _let_350)))) (let ((_let_846 (MACRO_RESOLUTION_TRUST _let_478 _let_845 :args (_let_115 false tptp.hskp16)))) (let ((_let_847 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 tptp.hskp13 _let_386 _let_238))) (MACRO_RESOLUTION_TRUST _let_667 (MACRO_RESOLUTION_TRUST _let_434 _let_822 :args (_let_428 false _let_246)) :args (_let_92 false _let_428)) _let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_819 :args (tptp.a926 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_818)) :args _let_817)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_114 _let_239 _let_241 _let_243))) _let_846 (MACRO_RESOLUTION_TRUST _let_480 _let_845 :args (_let_198 false tptp.hskp16)) (MACRO_RESOLUTION_TRUST _let_494 _let_846 (MACRO_RESOLUTION_TRUST _let_477 _let_845 :args (_let_196 false tptp.hskp16)) (MACRO_RESOLUTION_TRUST _let_495 _let_822 :args (_let_245 false _let_246)) :args (_let_240 true _let_114 false _let_196 false _let_245)) :args (_let_243 true _let_114 false _let_198 false _let_240)) :args ((not _let_238) true _let_242)) :args (tptp.hskp27 true tptp.hskp13 false tptp.ndr1_0 true _let_238)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_236 _let_235 _let_234 (not _let_237)))) (MACRO_RESOLUTION_TRUST _let_464 _let_847 :args (_let_215 false tptp.hskp27)) (MACRO_RESOLUTION_TRUST _let_463 _let_847 :args (_let_217 false tptp.hskp27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (tptp.a900 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_719)) :args _let_718)) (MACRO_RESOLUTION_TRUST _let_736 _let_821 (MACRO_RESOLUTION_TRUST _let_745 (MACRO_RESOLUTION_TRUST _let_735 _let_820 :args (_let_572 false _let_251)) (MACRO_RESOLUTION_TRUST _let_772 (MACRO_RESOLUTION_TRUST _let_420 _let_811 _let_247 :args (_let_304 true tptp.hskp28 false tptp.ndr1_0)) :args (_let_584 false _let_304)) :args (_let_84 false _let_572 false _let_584)) _let_247 :args (_let_708 true tptp.hskp12 true tptp.hskp11 false tptp.ndr1_0)) :args (_let_237 false _let_708)) (MACRO_RESOLUTION_TRUST _let_465 _let_847 :args (_let_212 false tptp.hskp27)) :args (false false _let_215 false _let_217 false _let_237 false _let_212)) :args ((or _let_227 tptp.ndr1_0) (or _let_226 tptp.ndr1_0) (or _let_220 tptp.ndr1_0) (or _let_213 tptp.ndr1_0) _let_233 (or _let_155 tptp.ndr1_0) (or _let_154 tptp.ndr1_0) (or _let_150 tptp.ndr1_0) (or _let_149 tptp.ndr1_0) _let_232 (or _let_132 tptp.ndr1_0) (or _let_131 tptp.ndr1_0) (or _let_127 tptp.ndr1_0) (or _let_117 tptp.ndr1_0) (or _let_113 tptp.ndr1_0) (or _let_106 tptp.ndr1_0) (or _let_99 tptp.ndr1_0) (or _let_92 tptp.ndr1_0) (or _let_88 tptp.ndr1_0) (or _let_84 tptp.ndr1_0) (or _let_80 tptp.ndr1_0) (or _let_79 tptp.ndr1_0) (or _let_78 tptp.ndr1_0) (or _let_71 tptp.ndr1_0) (or _let_67 tptp.ndr1_0) _let_231 (or _let_56 tptp.ndr1_0) (or _let_49 tptp.ndr1_0) (or _let_48 tptp.ndr1_0) (or _let_44 tptp.ndr1_0) (or _let_34 tptp.ndr1_0) _let_230 _let_229 _let_228 (or _let_227 (tptp.c0_1 tptp.a942)) (or _let_227 (tptp.c1_1 tptp.a942)) (or _let_227 (tptp.c2_1 tptp.a942)) (or _let_226 (tptp.c0_1 tptp.a933)) (or _let_226 (tptp.c2_1 tptp.a933)) (or _let_226 (tptp.c3_1 tptp.a933)) _let_225 _let_223 _let_221 _let_218 _let_216 _let_214 (or _let_159 (tptp.c0_1 tptp.a979)) (or _let_159 (tptp.c1_1 tptp.a979)) _let_211 _let_209 _let_207 _let_205 (or _let_149 (tptp.c2_1 tptp.a949)) (or _let_149 (tptp.c3_1 tptp.a949)) _let_203 (or _let_131 (tptp.c2_1 tptp.a938)) (or _let_131 (tptp.c3_1 tptp.a938)) _let_201 _let_199 _let_197 _let_195 _let_193 _let_191 _let_189 _let_187 _let_185 _let_183 _let_181 _let_179 (or _let_79 (tptp.c2_1 tptp.a910)) (or _let_78 (tptp.c1_1 tptp.a909)) _let_177 _let_175 _let_173 _let_171 _let_169 _let_167 _let_165 (or _let_48 (tptp.c0_1 tptp.a903)) _let_163 _let_161 (or (not (tptp.c3_1 tptp.a979)) _let_159) _let_158 (or (not (tptp.c0_1 tptp.a959)) _let_154) (or (not (tptp.c1_1 tptp.a959)) _let_154) (or (not (tptp.c2_1 tptp.a959)) _let_154) _let_153 (or (not (tptp.c1_1 tptp.a949)) _let_149) _let_148 _let_145 _let_142 _let_138 _let_135 (or (not (tptp.c0_1 tptp.a938)) _let_131) (or (not (tptp.c0_1 tptp.a937)) _let_127) _let_130 _let_126 _let_123 _let_120 _let_116 _let_112 _let_109 _let_105 _let_102 _let_98 _let_95 _let_91 _let_87 _let_83 (or (not (tptp.c1_1 tptp.a910)) _let_79) (or (not (tptp.c3_1 tptp.a910)) _let_79) (or (not (tptp.c0_1 tptp.a909)) _let_78) (or (not (tptp.c3_1 tptp.a909)) _let_78) _let_77 _let_74 _let_70 _let_66 _let_62 _let_59 _let_55 _let_52 (or (not (tptp.c2_1 tptp.a903)) _let_48) (or (not (tptp.c3_1 tptp.a903)) _let_48) _let_47 _let_43 _let_40 _let_37 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp1 tptp.hskp2)) _let_33 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp11 tptp.hskp27)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp9)) _let_32 _let_31 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp11)) _let_30 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp2 tptp.hskp0)) _let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp18 tptp.hskp19)) _let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp7)) _let_27 _let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp1 tptp.hskp23)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp3 tptp.hskp13)) _let_25 _let_24 _let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp30 tptp.hskp24)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp1 tptp.hskp10)) _let_22 _let_21 _let_20 _let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp30 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp20 tptp.hskp8)) _let_18 _let_17 (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.c2_1 V) (tptp.c3_1 V) tptp.hskp9)) _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp8)) _let_15 _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp29)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp27)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp22)) (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)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) _let_12 (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)) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp9)) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.74 )
% 0.22/0.75 % SZS output end Proof for SYN455-1
% 0.22/0.75 % cvc5---1.0.5 exiting
% 0.22/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------