TSTP Solution File: SYN466-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN466-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 0.22s 0.71s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : SYN466-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n013.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 17:24:47 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.mnzr9WWiIz/cvc5---1.0.5_4402.p...
% 0.22/0.54  ------- get file name : TPTP file name is SYN466-1
% 0.22/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4402.smt2...
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.71  % SZS status Unsatisfiable for SYN466-1
% 0.22/0.71  % SZS output start Proof for SYN466-1
% 0.22/0.74  (
% 0.22/0.74  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c0_1 W)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c1_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V) tptp.hskp31)))) (let ((_let_10 (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.c1_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp12)))) (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.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp22)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp17)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp20)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp10)))) (let ((_let_15 (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.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp10)))) (let ((_let_16 (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.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp17)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp14)))) (let ((_let_18 (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) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp13)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp12)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp16)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) tptp.hskp16)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp19 tptp.hskp11)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp1 tptp.hskp24)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp15 tptp.hskp28)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp31 tptp.hskp28)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp29 tptp.hskp21)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp17)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp17)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp10)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp15 tptp.hskp28)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp19)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp7)))) (let ((_let_34 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp3 tptp.hskp4)))) (let ((_let_35 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp5)))) (let ((_let_36 (not tptp.hskp0))) (let ((_let_37 (not tptp.hskp1))) (let ((_let_38 (tptp.c1_1 tptp.a102))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (tptp.c0_1 tptp.a102))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_37))) (let ((_let_44 (not tptp.hskp2))) (let ((_let_45 (not tptp.hskp3))) (let ((_let_46 (tptp.c1_1 tptp.a104))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (not tptp.hskp4))) (let ((_let_50 (tptp.c1_1 tptp.a105))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (not tptp.hskp5))) (let ((_let_54 (tptp.c2_1 tptp.a106))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (not tptp.hskp6))) (let ((_let_58 (not tptp.hskp7))) (let ((_let_59 (tptp.c0_1 tptp.a108))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58))) (let ((_let_62 (not tptp.hskp8))) (let ((_let_63 (tptp.c3_1 tptp.a109))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (tptp.c0_1 tptp.a109))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_62))) (let ((_let_69 (not tptp.hskp9))) (let ((_let_70 (tptp.c3_1 tptp.a110))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69))) (let ((_let_73 (tptp.c1_1 tptp.a110))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_69))) (let ((_let_76 (not tptp.hskp10))) (let ((_let_77 (tptp.c3_1 tptp.a111))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76))) (let ((_let_80 (tptp.c2_1 tptp.a111))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_76))) (let ((_let_83 (tptp.c0_1 tptp.a111))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_76))) (let ((_let_86 (not tptp.hskp11))) (let ((_let_87 (tptp.c3_1 tptp.a112))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (tptp.c2_1 tptp.a112))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_86))) (let ((_let_93 (not tptp.hskp12))) (let ((_let_94 (tptp.c2_1 tptp.a113))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93))) (let ((_let_97 (tptp.c0_1 tptp.a113))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_93))) (let ((_let_100 (not tptp.hskp13))) (let ((_let_101 (tptp.c3_1 tptp.a114))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100))) (let ((_let_104 (not tptp.hskp14))) (let ((_let_105 (tptp.c3_1 tptp.a116))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104))) (let ((_let_108 (not tptp.hskp15))) (let ((_let_109 (tptp.c1_1 tptp.a117))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108))) (let ((_let_112 (not tptp.hskp16))) (let ((_let_113 (tptp.c2_1 tptp.a126))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112))) (let ((_let_116 (not tptp.hskp17))) (let ((_let_117 (tptp.c1_1 tptp.a132))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (tptp.c0_1 tptp.a132))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_116))) (let ((_let_123 (not tptp.hskp18))) (let ((_let_124 (not tptp.hskp19))) (let ((_let_125 (tptp.c3_1 tptp.a135))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_124))) (let ((_let_128 (tptp.c2_1 tptp.a135))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_124))) (let ((_let_131 (not tptp.hskp20))) (let ((_let_132 (tptp.c3_1 tptp.a139))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_131))) (let ((_let_135 (tptp.c1_1 tptp.a139))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_131))) (let ((_let_138 (not tptp.hskp21))) (let ((_let_139 (tptp.c2_1 tptp.a143))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138))) (let ((_let_142 (tptp.c1_1 tptp.a143))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_138))) (let ((_let_145 (not tptp.hskp22))) (let ((_let_146 (tptp.c2_1 tptp.a145))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_145))) (let ((_let_149 (tptp.c1_1 tptp.a145))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_145))) (let ((_let_152 (tptp.c0_1 tptp.a145))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_153 _let_145))) (let ((_let_155 (not tptp.hskp23))) (let ((_let_156 (not 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_let_774))) (let ((_let_777 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_776 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_775)) :args _let_774)))) (let ((_let_778 (REORDERING (CNF_OR_POS :args (_let_768)) :args ((or _let_83 _let_77 _let_767 (not _let_768)))))) (let ((_let_779 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_483 :args (tptp.a111 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_482)) :args _let_481)))) (let ((_let_780 (not _let_770))) (let ((_let_781 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_770)) :args ((or _let_128 _let_125 _let_769 _let_780))) (REORDERING (ASSUME :args (_let_127)) :args ((or _let_124 _let_126))) (REORDERING (ASSUME :args (_let_130)) :args ((or _let_124 _let_129))) (ASSUME :args (_let_222)) :args ((or _let_124 _let_780) true _let_125 true _let_128 false _let_221)))) (let ((_let_782 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_322 (= U W)))))) (let ((_let_783 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_539 :args (tptp.a135 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_538)) :args _let_537)))) (let ((_let_784 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_785 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_320 (= U V)))))) (let ((_let_786 (MACRO_RESOLUTION_TRUST _let_785 _let_784 _let_783 _let_782 _let_781 _let_779 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp17 _let_456 _let_662))) _let_778 _let_777 _let_773 _let_772 _let_771 _let_588 _let_516 _let_452 _let_451 _let_653 _let_511 _let_450 _let_453 :args ((or tptp.hskp17 _let_83 _let_80 _let_77 _let_456 _let_388 _let_414 _let_329 _let_587) false _let_321 true _let_320 true _let_323 true _let_770 true _let_322 false tptp.hskp19 true _let_768 true _let_662 false _let_765 true _let_661 false _let_766 true _let_439 false _let_420 true _let_389 true _let_390 false _let_391 false _let_419 true _let_393 true _let_394)))) (let ((_let_787 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_739 :args (tptp.a102 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_738)) :args _let_737)))) (let ((_let_788 (not _let_387))) (let ((_let_789 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_387)) :args ((or _let_41 _let_38 _let_386 _let_788))) (REORDERING (ASSUME :args (_let_40)) :args ((or _let_37 _let_39))) (REORDERING (ASSUME :args (_let_43)) :args ((or _let_37 _let_42))) (ASSUME :args (_let_176)) :args ((or _let_37 _let_788) true _let_38 true _let_41 false _let_175)))) (let ((_let_790 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp1 _let_456 _let_742 _let_743))))) (let ((_let_791 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp1 _let_456 _let_349))))) (let ((_let_792 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_420 (= U V)))))) (let ((_let_793 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_521 :args (tptp.a163 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_520)) :args _let_519)))) (let ((_let_794 (not _let_674))) (let ((_let_795 (REORDERING (CNF_OR_POS :args (_let_674)) :args ((or _let_163 _let_160 _let_673 _let_794))))) (let ((_let_796 (not _let_744))) (let ((_let_797 (REORDERING (CNF_OR_POS :args (_let_744)) :args ((or _let_163 _let_160 _let_672 _let_796))))) (let ((_let_798 (MACRO_RESOLUTION_TRUST _let_797 _let_795 _let_793 _let_550 _let_549 _let_792 _let_791 _let_790 _let_789 _let_787 _let_786 _let_764 _let_544 _let_523 (REORDERING (CNF_OR_POS :args (_let_705)) :args ((or _let_417 _let_404 _let_408 _let_745))) _let_515 _let_514 _let_510 _let_505 _let_504 _let_500 _let_480 _let_701 _let_696 _let_695 _let_624 _let_626 _let_629 _let_582 _let_631 _let_706 _let_710 _let_730 _let_763 _let_762 _let_760 _let_759 _let_758 _let_757 _let_753 _let_751 _let_750 _let_746 _let_348 :args ((or _let_83 _let_80 _let_77 _let_456 _let_349 _let_268 _let_350 _let_351 _let_694 _let_745) true _let_672 false _let_744 true _let_160 true _let_163 false _let_420 false tptp.hskp24 false _let_743 true tptp.hskp1 false _let_387 false _let_388 true _let_742 true _let_426 true _let_425 true _let_407 false _let_403 false _let_416 true _let_418 true _let_414 true _let_373 true _let_413 false tptp.hskp28 true tptp.hskp15 false _let_675 false _let_674 false _let_446 false _let_621 true tptp.hskp17 false _let_441 false _let_299 false _let_297 false _let_703 true _let_704 true _let_284 true _let_690 false tptp.hskp12 true _let_329 true _let_692 true _let_330 true _let_336 false tptp.hskp13 true _let_338 true _let_702 true _let_269)))) (let ((_let_799 (MACRO_RESOLUTION_TRUST _let_798 _let_643 _let_741 _let_642 _let_457 _let_740 _let_736 _let_733 _let_732 _let_566 _let_730 _let_729 _let_710 _let_709 _let_576 _let_706 _let_348 _let_458 :args ((or _let_456 _let_349 _let_297 _let_268 _let_350 _let_351 _let_694) true _let_77 true _let_80 true _let_83 false tptp.hskp10 true _let_388 true _let_295 false _let_705 false _let_289 false _let_433 false _let_284 false _let_434 false _let_704 true _let_296 true _let_438 true _let_703 true _let_269 true _let_395)))) (let ((_let_800 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_662 (= U U)))))) (let ((_let_801 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 tptp.hskp17 _let_456 _let_664))))) (let ((_let_802 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)))) (let ((_let_803 (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_358 _let_356 _let_367 (not _let_676)))))) (let ((_let_804 (REORDERING (CNF_OR_POS :args (_let_658)) :args ((or _let_358 _let_356 _let_366 (not _let_658)))))) (let ((_let_805 (REORDERING (CNF_OR_POS :args (_let_372)) :args ((or _let_358 _let_354 _let_366 (not _let_372)))))) (let ((_let_806 (_let_659))) (let ((_let_807 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_806) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_806)))) (let ((_let_808 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_539 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_538)) :args _let_537)))) (let ((_let_809 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_659 (= U U)))))) (let ((_let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_503 :args (tptp.a108 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_502)) :args _let_501)))) (let ((_let_811 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_503 :args (tptp.a107 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_502)) :args _let_501)))) (let ((_let_812 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_487 :args (tptp.a108 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_486)))) (let ((_let_813 (not _let_691))) (let ((_let_814 (not _let_683))) (let ((_let_815 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_691)) :args ((or _let_59 _let_679 _let_680 _let_813))) (REORDERING (CNF_OR_POS :args (_let_683)) :args ((or _let_682 _let_679 _let_681 _let_814))) (REORDERING (ASSUME :args (_let_61)) :args ((or _let_58 _let_60))) (ASSUME :args (_let_192)) (ASSUME :args (_let_194)) :args ((or _let_58 _let_814 _let_813) true _let_680 true _let_59 false _let_191 false _let_193)))) (let ((_let_816 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_756 :args (tptp.a107 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_755)) :args _let_754)))) (let ((_let_817 (not _let_693))) (let ((_let_818 (not _let_688))) (let ((_let_819 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_693)) :args ((or _let_687 _let_686 _let_684 _let_817))) (REORDERING (CNF_OR_POS :args (_let_688)) :args ((or _let_687 _let_686 _let_685 _let_818))) (ASSUME :args (_let_188)) (ASSUME :args (_let_190)) :args ((or _let_57 _let_818 _let_817) true _let_684 false _let_187 false _let_189)))) (let ((_let_820 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 tptp.hskp6 _let_456 _let_678))))) (let ((_let_821 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_445 (= U U)))))) (let ((_let_822 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (tptp.a163 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)))) (let ((_let_823 (REORDERING (CNF_OR_POS :args (_let_677)) :args ((or _let_163 _let_157 _let_672 (not _let_677)))))) (let ((_let_824 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_521 :args (tptp.a145 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_520)) :args _let_519)))) (let ((_let_825 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_312 (= U V)))))) (let ((_let_826 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp22 _let_456 _let_660 _let_665))))) (let ((_let_827 (REORDERING (ASSUME :args (_let_154)) :args ((or _let_145 _let_153))))) (let ((_let_828 (REORDERING (ASSUME :args (_let_151)) :args ((or _let_145 _let_150))))) (let ((_let_829 (REORDERING (ASSUME :args (_let_148)) :args ((or _let_145 _let_147))))) (let ((_let_830 (REORDERING (CNF_OR_POS :args (_let_666)) :args ((or _let_152 _let_149 _let_146 (not _let_666)))))) (let ((_let_831 (REFL :args _let_699))) (let ((_let_832 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_274 (= U V)))))) (let ((_let_833 (not _let_274))) (let ((_let_834 (_let_833))) (let ((_let_835 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_834)) :args _let_834)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_833) _let_274))) (REFL :args ((not _let_283))) :args _let_382)))) (let ((_let_836 (REFL :args (_let_283)))) (let ((_let_837 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_283 0)) (CONG _let_836 (MACRO_SR_PRED_INTRO :args ((= (not _let_282) _let_281))) :args _let_382)) :args ((or _let_281 _let_283))))) (let ((_let_838 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_283 1)) (CONG _let_836 (MACRO_SR_PRED_INTRO :args ((= (not _let_280) _let_279))) :args _let_382)) :args ((or _let_279 _let_283))))) (let ((_let_839 (CNF_OR_NEG :args (_let_283 2)))) (let ((_let_840 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_723 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_722)) :args _let_721)))) (let ((_let_841 (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_358 _let_354 _let_367 (not _let_368)))))) (let ((_let_842 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_843 (or _let_463 _let_655 _let_462))) (let ((_let_844 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_562)) :args _let_561)))) (let ((_let_845 (not _let_302))) (let ((_let_846 (not _let_663))) (let ((_let_847 (REORDERING (CNF_OR_POS :args (_let_663)) :args ((or _let_282 _let_280 _let_300 _let_846))))) (let ((_let_848 (_let_302))) (let ((_let_849 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args _let_848) :args ((or _let_282 _let_280 _let_301 _let_845))) _let_847 _let_838 _let_837 :args ((or _let_283 _let_846 _let_845) false _let_300 false _let_279 false _let_281)))) (let ((_let_850 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_559 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_558)) :args _let_557)))) (let ((_let_851 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 _let_456 _let_303 _let_277))))) (let ((_let_852 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_304 (= U U)))))) (let ((_let_853 (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_282 _let_278 _let_301 (not _let_305)))))) (let ((_let_854 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_471)) :args _let_470)))) (let ((_let_855 (MACRO_RESOLUTION_TRUST _let_824 _let_830 _let_516 _let_829 _let_828 _let_827 _let_511 _let_455 _let_826 _let_455 _let_505 _let_825 _let_504 _let_854 _let_500 _let_853 _let_801 _let_455 _let_847 _let_800 _let_850 _let_777 _let_852 _let_772 _let_851 _let_455 _let_588 _let_629 _let_582 _let_631 (MACRO_RESOLUTION_TRUST _let_546 _let_552 _let_529 _let_454 _let_533 _let_455 _let_343 _let_506 _let_347 _let_504 _let_348 _let_500 _let_710 _let_455 _let_480 _let_455 _let_730 _let_763 _let_762 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 _let_456 _let_304 _let_842))) _let_455 _let_850 _let_476 _let_556 _let_849 (REORDERING (CNF_OR_POS :args (_let_843)) :args ((or _let_463 _let_462 _let_655 (not _let_843)))) _let_564 _let_844 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (tptp.a117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_562)) :args _let_561)) _let_566 _let_729 _let_455 _let_576 _let_706 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_297 (= U V)))) :args ((or _let_297 _let_375 _let_463 _let_283 _let_655) true _let_361 false _let_363 false tptp.hskp24 false _let_369 false tptp.ndr1_0 true tptp.hskp31 true _let_374 false _let_267 true _let_373 false _let_268 true _let_413 false _let_269 false tptp.ndr1_0 false tptp.hskp28 false tptp.ndr1_0 true _let_704 true _let_284 true _let_690 false tptp.hskp12 false tptp.ndr1_0 true _let_304 true tptp.hskp15 true tptp.hskp30 true _let_663 true _let_211 false _let_432 false _let_302 false _let_843 false _let_433 false _let_434 false tptp.ndr1_0 true _let_438 true _let_703 true _let_842)) _let_536 _let_809 _let_808 _let_807 _let_805 _let_804 _let_841 _let_840 _let_725 _let_839 _let_838 _let_837 _let_726 _let_455 _let_835 _let_727 _let_832 _let_728 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_656 1)) (CONG _let_831 (MACRO_SR_PRED_INTRO :args ((= (not _let_655) _let_654))) :args _let_382)) :args ((or _let_654 _let_656))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_656 0)) (CONG _let_831 (MACRO_SR_PRED_INTRO :args ((= (not _let_463) _let_213))) :args _let_382)) :args ((or _let_213 _let_656))) (MACRO_RESOLUTION_TRUST _let_816 _let_819 _let_758 _let_820 _let_455 _let_760 _let_455 _let_815 _let_762 _let_812 _let_763 _let_480 _let_455 _let_500 _let_811 _let_810 _let_504 _let_506 _let_821 _let_533 _let_455 _let_822 _let_529 _let_823 _let_546 _let_795 _let_552 _let_551 _let_550 _let_549 _let_536 _let_454 _let_808 _let_556 _let_805 _let_564 _let_803 _let_343 _let_566 _let_802 _let_347 _let_729 _let_455 _let_799 _let_455 _let_576 _let_631 _let_629 (MACRO_RESOLUTION_TRUST _let_830 _let_829 _let_828 _let_827 _let_826 _let_455 _let_825 _let_593 _let_586 _let_578 _let_574 _let_572 _let_569 _let_564 _let_556 _let_454 _let_552 _let_546 _let_824 _let_529 _let_516 _let_533 _let_455 _let_511 _let_455 _let_506 _let_505 (MACRO_RESOLUTION_TRUST _let_823 _let_795 _let_551 _let_550 _let_549 _let_454 _let_556 _let_564 _let_822 _let_566 _let_821 _let_729 _let_455 _let_820 _let_455 _let_576 _let_819 _let_582 _let_816 _let_588 _let_758 _let_772 _let_760 _let_455 _let_777 _let_815 _let_762 _let_800 _let_812 _let_763 _let_801 _let_455 _let_480 _let_455 _let_500 _let_811 _let_810 _let_504 :args ((or tptp.hskp31 tptp.hskp17 tptp.hskp15 _let_351 _let_508 _let_392 _let_390 _let_389 _let_794) true _let_672 true _let_157 true _let_160 true _let_163 false tptp.hskp24 true tptp.hskp30 false _let_432 false _let_677 false _let_433 false _let_445 false _let_434 false tptp.ndr1_0 false _let_678 false tptp.ndr1_0 true _let_438 true tptp.hskp6 true _let_297 false _let_693 true _let_441 false _let_330 false _let_439 false _let_692 false tptp.ndr1_0 false _let_661 true tptp.hskp7 true tptp.hskp12 false _let_662 false _let_691 false _let_690 false _let_664 false tptp.ndr1_0 false _let_284 false tptp.ndr1_0 true tptp.hskp28 false _let_688 false _let_683 false _let_413)) _let_343 _let_536 _let_809 _let_808 _let_807 _let_805 _let_804 _let_803 _let_802 _let_459 _let_347 (MACRO_RESOLUTION_TRUST _let_505 _let_786 _let_455 _let_504 _let_759 _let_500 _let_757 _let_801 _let_455 _let_753 _let_800 _let_751 _let_455 _let_777 _let_750 _let_772 _let_746 _let_588 _let_741 _let_582 _let_457 _let_455 _let_799 _let_455 _let_458 _let_379 _let_378 _let_667 _let_451 _let_452 _let_653 _let_450 :args ((or tptp.hskp17 _let_83 _let_77 _let_349 _let_268 _let_388 _let_694) false _let_414 false tptp.ndr1_0 true _let_373 true _let_329 true _let_413 true _let_330 false tptp.hskp28 false tptp.ndr1_0 true _let_336 true _let_664 false tptp.hskp13 false tptp.ndr1_0 true _let_662 true _let_338 true _let_661 true _let_702 true _let_439 true _let_80 false _let_441 false tptp.hskp10 false tptp.ndr1_0 false _let_297 false tptp.ndr1_0 true _let_395 true _let_351 true _let_350 true _let_270 true _let_390 true _let_389 false _let_391 true _let_393)) _let_670 _let_669 _let_671 _let_385 _let_701 _let_696 _let_379 _let_653 _let_451 _let_452 _let_450 _let_695 _let_632 _let_378 _let_455 _let_380 _let_667 _let_453 :args ((or tptp.hskp17 _let_83 _let_77 _let_349 _let_388 _let_694) true _let_146 true _let_149 true _let_152 false tptp.hskp22 false tptp.ndr1_0 true _let_665 true _let_312 true _let_443 true _let_398 false _let_396 false _let_400 true _let_437 true _let_433 true _let_432 false tptp.hskp30 true tptp.hskp24 false _let_361 false _let_666 false _let_363 false _let_420 false _let_369 false tptp.ndr1_0 false _let_419 false tptp.ndr1_0 true _let_374 true _let_414 true _let_373 true tptp.hskp31 true _let_375 true _let_660 true _let_320 true _let_659 true _let_372 true _let_658 true _let_366 false _let_676 false _let_402 false _let_267 false _let_268 false _let_355 false _let_357 true _let_354 true _let_359 true tptp.hskp15 false _let_675 true _let_351 false _let_391 true _let_390 true _let_389 true _let_393 false _let_674 false _let_446 true _let_350 false tptp.ndr1_0 true _let_352 true _let_270 true _let_394)) _let_701 _let_696 _let_670 _let_669 _let_671 _let_385 _let_695 _let_632 _let_378 _let_455 _let_380 _let_379 _let_667 :args ((or _let_83 _let_77 _let_349 _let_388 _let_694) true _let_693 false _let_330 false tptp.hskp6 false tptp.ndr1_0 false _let_692 false tptp.ndr1_0 true tptp.hskp7 true tptp.hskp12 false _let_691 false _let_690 false _let_284 false tptp.ndr1_0 true tptp.hskp28 false _let_688 false _let_683 false _let_413 false _let_373 true _let_678 false _let_374 false tptp.ndr1_0 true _let_445 true _let_369 true _let_677 true _let_363 true _let_672 true _let_361 true _let_157 true _let_160 true _let_163 true _let_375 false tptp.hskp24 true _let_320 true tptp.hskp30 true _let_372 false _let_432 true _let_366 true tptp.hskp31 false _let_433 false _let_676 false _let_267 false _let_434 false tptp.ndr1_0 false _let_268 false tptp.ndr1_0 true _let_438 true _let_297 true _let_299 false tptp.hskp17 true tptp.hskp15 false _let_675 false _let_355 false _let_357 true _let_354 true _let_359 false _let_674 false _let_446 true _let_350 false tptp.ndr1_0 true _let_352 true _let_351 true _let_270)) _let_671 _let_670 _let_669 _let_385 _let_381 _let_667 _let_451 _let_452 _let_653 _let_450 _let_453 :args ((or _let_83 _let_77 _let_349 _let_388) true _let_666 false _let_420 true _let_146 true _let_149 true _let_152 false _let_419 false tptp.ndr1_0 false tptp.hskp22 false tptp.ndr1_0 true _let_414 true _let_665 true _let_373 true _let_312 true _let_413 true _let_305 false tptp.hskp28 false tptp.ndr1_0 false _let_300 true _let_664 false _let_663 true _let_662 false _let_304 true _let_661 false _let_303 false tptp.ndr1_0 true _let_439 true tptp.hskp17 false _let_441 false _let_299 false _let_297 true _let_375 true _let_660 true _let_320 true _let_659 true _let_372 true _let_658 true _let_366 false _let_368 false _let_362 true _let_278 false _let_279 false _let_281 false _let_360 false tptp.ndr1_0 true _let_283 true _let_657 true _let_277 true _let_274 false _let_654 false _let_213 true _let_656 true _let_354 false _let_355 false _let_357 true _let_359 true _let_353 true _let_270 true _let_390 true _let_389 false _let_391 true _let_393 true _let_394)))) (let ((_let_856 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)))) (let ((_let_857 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_858 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_859 (not _let_858))) (let ((_let_860 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_861 (not _let_860))) (let ((_let_862 (or _let_861 _let_859 _let_857))) (let ((_let_863 (or _let_83 _let_765 _let_77))) (let ((_let_864 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_865 (not _let_864))) (let ((_let_866 (or _let_865 _let_860 _let_857))) (let ((_let_867 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_868 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_869 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_870 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_871 (not _let_870))) (let ((_let_872 (or _let_871 _let_869 _let_868))) (let ((_let_873 (or _let_859 _let_865 _let_857))) (let ((_let_874 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_875 (or _let_648 _let_647 _let_113))) (let ((_let_876 (not _let_868))) (let ((_let_877 (or _let_871 _let_876 _let_869))) (let ((_let_878 (or _let_871 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22) _let_869))) (let ((_let_879 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_880 (or _let_465 _let_170 _let_167))) (let ((_let_881 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (tptp.a111 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)))) (let ((_let_882 (REORDERING (CNF_OR_POS :args (_let_863)) :args ((or _let_83 _let_77 _let_765 (not _let_863)))))) (let ((_let_883 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 _let_456 _let_867))))) (let ((_let_884 (_let_867))) (let ((_let_885 ((not (= (tptp.c1_1 U) false))))) (let ((_let_886 (ASSUME :args _let_884))) (let ((_let_887 (not _let_862))) (let ((_let_888 (not _let_866))) (let ((_let_889 (REFL :args (_let_873)))) (let ((_let_890 (not _let_874))) (let ((_let_891 (_let_890))) (let ((_let_892 (_let_874))) (let ((_let_893 ((not (= (tptp.c1_1 U) false))))) (let ((_let_894 (ASSUME :args _let_892))) (let ((_let_895 (not _let_872))) (let ((_let_896 (not _let_877))) (let ((_let_897 (not _let_879))) (let ((_let_898 (_let_897))) (let ((_let_899 (_let_879))) (let ((_let_900 (not _let_880))) (let ((_let_901 (REORDERING (ASSUME :args (_let_258)) :args ((or tptp.hskp25 tptp.hskp16 tptp.hskp5))))) (let ((_let_902 (ASSUME :args (_let_218)))) (let ((_let_903 (ASSUME :args (_let_216)))) (let ((_let_904 (REORDERING (ASSUME :args (_let_115)) :args ((or _let_112 _let_114))))) (let ((_let_905 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (tptp.a126 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_460)) :args _let_344)))) (let ((_let_906 (not _let_652))) (let ((_let_907 (not _let_651))) (let ((_let_908 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_652)) :args ((or _let_113 _let_647 _let_649 _let_906))) (REORDERING (CNF_OR_POS :args (_let_651)) :args ((or _let_648 _let_647 _let_650 _let_907))) _let_904 _let_903 _let_902 :args ((or _let_112 _let_907 _let_906) true _let_649 true _let_113 false _let_215 false _let_217)))) (let ((_let_909 (not _let_644))) (let ((_let_910 (REORDERING (CNF_OR_POS :args (_let_644)) :args ((or _let_422 _let_524 _let_423 _let_909))))) (let ((_let_911 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_487 :args (tptp.a126 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_486)))) (let ((_let_912 (REORDERING (CNF_OR_NEG :args (_let_424 0)) :args ((or _let_526 _let_424))))) (let ((_let_913 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_478 _let_473 _let_477 _let_476 _let_475 _let_469 _let_455 _let_480 _let_455 _let_500 _let_504 _let_506 _let_540 _let_912 _let_911 _let_910 _let_908 _let_535 _let_534 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 _let_456 _let_646 _let_363))) _let_455 _let_532 _let_546 _let_552 _let_454 _let_343 _let_905 _let_347 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_875)) :args ((or _let_113 _let_648 _let_647 (not _let_875)))) _let_904 _let_903 _let_902 _let_901 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_880)) :args ((or _let_170 _let_167 _let_465 _let_900))) _let_494 _let_493 _let_492 :args ((or _let_166 _let_900) true _let_167 true _let_170 false _let_227)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_899) :args (tptp.a167 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) false))))) :args _let_899)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_898)) :args _let_898)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_897) _let_879))) (REFL :args ((not _let_878))) :args _let_382)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_877)) :args ((or _let_871 _let_869 _let_876 _let_896))) (REORDERING (CNF_OR_POS :args (_let_872)) :args ((or _let_871 _let_869 _let_868 _let_895))) (CNF_OR_NEG :args (_let_878 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_878 0)) (CONG (REFL :args (_let_878)) (MACRO_SR_PRED_INTRO :args ((= (not _let_871) _let_870))) :args _let_382)) :args ((or _let_870 _let_878))) :args ((or _let_878 _let_896 _let_895) false _let_868 true _let_869 false _let_870)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_894 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_893)) :args _let_892)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_894 :args (tptp.a126 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_893)) :args _let_892)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_891)) :args _let_891)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_890) _let_874))) (REFL :args ((not _let_873))) :args _let_382)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_862)) :args ((or _let_859 _let_857 _let_861 _let_887))) (REORDERING (CNF_OR_POS :args (_let_866)) :args ((or _let_865 _let_857 _let_860 _let_888))) (CNF_OR_NEG :args (_let_873 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_873 1)) (CONG _let_889 (MACRO_SR_PRED_INTRO :args ((= (not _let_865) _let_864))) :args _let_382)) :args ((or _let_864 _let_873))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_873 0)) (CONG _let_889 (MACRO_SR_PRED_INTRO :args ((= (not _let_859) _let_858))) :args _let_382)) :args ((or _let_858 _let_873))) :args ((or _let_873 _let_888 _let_887) false _let_860 true _let_857 false _let_864 false _let_858)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_886 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_885)) :args _let_884)) _let_883 _let_455 _let_781 _let_783 _let_785 _let_784 _let_455 _let_759 _let_757 _let_753 _let_751 _let_455 _let_750 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_487 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_486)) _let_746 _let_730 _let_741 _let_710 _let_455 _let_457 _let_455 _let_348 _let_458 _let_706 _let_582 _let_588 _let_594 _let_452 _let_451 _let_450 _let_600 _let_782 _let_779 _let_778 _let_882 _let_881 _let_602 _let_455 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_614 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_612)) _let_610 _let_615 _let_377 _let_855 :args ((or _let_83 _let_77 _let_268 _let_388) true _let_113 false _let_215 false _let_217 false tptp.hskp16 true tptp.hskp25 false _let_880 false _let_879 false _let_878 false _let_877 false _let_875 false _let_874 false _let_873 false _let_872 false _let_867 false tptp.ndr1_0 true tptp.hskp19 false _let_770 false _let_320 false _let_321 false tptp.ndr1_0 true _let_329 true _let_330 true _let_336 false tptp.hskp13 false tptp.ndr1_0 true _let_338 false _let_866 true _let_702 false _let_284 true _let_80 false _let_704 false tptp.ndr1_0 false tptp.hskp10 false tptp.ndr1_0 true _let_269 true _let_395 true _let_703 true _let_297 true _let_441 false _let_439 true _let_389 true _let_390 true _let_393 false _let_444 true _let_323 true _let_322 true _let_768 false _let_765 false _let_863 false _let_445 false tptp.ndr1_0 false _let_862 true tptp.hskp5 false _let_273 false _let_270 false _let_349)) _let_556 _let_564 _let_566 _let_729 _let_455 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_426 (= U U)))) _let_576 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)) _let_582 (REORDERING (CNF_OR_POS :args (_let_645)) :args ((or _let_392 _let_390 _let_440 (not _let_645)))) _let_588 _let_594 _let_600 _let_856 _let_602 _let_455 _let_610 _let_615 _let_377 _let_855 _let_452 _let_653 _let_451 _let_450 :args ((or _let_83 _let_77 _let_388) false _let_464 true _let_109 false _let_211 false _let_213 false _let_312 false tptp.ndr1_0 false tptp.hskp15 false tptp.ndr1_0 true tptp.hskp28 false _let_413 false _let_373 false _let_374 false _let_424 true _let_284 false _let_423 true _let_652 true _let_524 true _let_422 false tptp.hskp16 false tptp.ndr1_0 true _let_525 true _let_363 true _let_361 false tptp.hskp24 true tptp.hskp31 false _let_651 false _let_267 false _let_268 true tptp.hskp30 false _let_432 false _let_433 false _let_434 false tptp.ndr1_0 true _let_646 true _let_438 true _let_426 true _let_297 true _let_645 true _let_441 false _let_439 false _let_444 false _let_644 false _let_445 false tptp.ndr1_0 true tptp.hskp5 false _let_273 false _let_270 false _let_349 true _let_389 false _let_391 true _let_390 true _let_393)) _let_643 _let_642 (MACRO_RESOLUTION_TRUST _let_641 _let_640 _let_639 _let_635 _let_634 _let_633 _let_632 _let_455 _let_620 _let_380 _let_378 _let_617 _let_615 _let_611 _let_610 _let_605 _let_604 _let_603 _let_602 _let_455 _let_601 _let_455 _let_600 _let_596 _let_595 _let_594 _let_593 _let_592 _let_588 _let_586 _let_584 _let_582 _let_578 _let_576 _let_574 _let_573 _let_572 _let_570 _let_455 _let_569 _let_566 _let_564 _let_560 _let_556 _let_554 _let_454 _let_553 _let_455 _let_552 _let_547 _let_546 _let_544 _let_540 _let_523 _let_522 _let_518 _let_516 _let_515 _let_514 _let_513 _let_511 _let_455 _let_510 _let_507 _let_506 _let_505 _let_504 _let_500 _let_498 _let_343 _let_461 _let_459 _let_347 _let_458 _let_457 _let_455 _let_453 _let_452 _let_451 _let_450 :args ((or tptp.hskp10 _let_388) false _let_307 false _let_447 true _let_306 true _let_317 false _let_309 false _let_446 false tptp.ndr1_0 true _let_318 true _let_352 true _let_350 true _let_316 true _let_270 true _let_315 true _let_273 true _let_132 true _let_135 false _let_223 false tptp.hskp5 false tptp.ndr1_0 false tptp.hskp20 false tptp.ndr1_0 true _let_445 true _let_313 true _let_276 true _let_444 true _let_312 true _let_274 true _let_439 true _let_443 true _let_442 false _let_441 true _let_398 false _let_297 false _let_396 false _let_435 false _let_400 false _let_438 false tptp.ndr1_0 true _let_437 true _let_434 true _let_433 false _let_311 true _let_432 false _let_304 false tptp.hskp30 false _let_428 false tptp.ndr1_0 true tptp.hskp24 true _let_427 false _let_361 true _let_426 false _let_363 true _let_425 false _let_424 true _let_407 false _let_420 false _let_403 false _let_416 false _let_405 false _let_419 false tptp.ndr1_0 true _let_418 true _let_415 true _let_374 true _let_414 true _let_373 true _let_413 false tptp.hskp28 true tptp.hskp31 false _let_409 false _let_402 false _let_267 false _let_268 false _let_395 false tptp.ndr1_0 true _let_394 true _let_389 true _let_390 true _let_393)) :args (_let_388 true _let_77 true _let_83 false tptp.hskp10)))) (let ((_let_914 (MACRO_RESOLUTION_TRUST _let_789 (MACRO_RESOLUTION_TRUST _let_787 _let_913 :args (_let_387 false _let_388)) :args (_let_37 false _let_387)))) (let ((_let_915 (not _let_181))) (let ((_let_916 (tptp.c0_1 tptp.a105))) (let ((_let_917 (not _let_916))) (let ((_let_918 (or _let_917 _let_915 _let_50))) (let ((_let_919 (not _let_177))) (let ((_let_920 (not _let_179))) (let ((_let_921 (or _let_920 _let_919 _let_46))) (let ((_let_922 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a105 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_590)) :args _let_589)))) (let ((_let_923 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_590)) :args _let_589)))) (let ((_let_924 (not _let_921))) (let ((_let_925 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_921)) :args ((or _let_46 _let_920 _let_919 _let_924))) (REORDERING (ASSUME :args (_let_48)) :args ((or _let_45 _let_47))) (ASSUME :args (_let_178)) (ASSUME :args (_let_180)) :args ((or _let_45 _let_924) true _let_46 false _let_177 false _let_179)))) (let ((_let_926 (or _let_915 _let_916 _let_50))) (let ((_let_927 (not _let_918))) (let ((_let_928 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_739 :args (tptp.a105 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_738)) :args _let_737)))) (let ((_let_929 (not _let_926))) (let ((_let_930 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_926)) :args ((or _let_50 _let_915 _let_916 _let_929))) (REORDERING (CNF_OR_POS :args (_let_918)) :args ((or _let_50 _let_915 _let_917 _let_927))) (REORDERING (ASSUME :args (_let_52)) :args ((or _let_49 _let_51))) (ASSUME :args (_let_182)) :args ((or _let_49 _let_927 _let_929) true _let_916 true _let_50 false _let_181)))) (let ((_let_931 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp4 tptp.hskp3 _let_456 _let_420))))) (let ((_let_932 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_786 _let_505 _let_759 _let_715 _let_757 (MACRO_RESOLUTION_TRUST _let_717 _let_584 _let_574 _let_573 _let_572 :args ((or _let_437 _let_716 _let_583) false _let_398 false _let_396 false _let_435 false _let_400)) _let_753 _let_569 _let_751 _let_733 _let_750 _let_798 _let_746 _let_741 _let_457 _let_458 _let_582 _let_629 _let_631 _let_799 :args ((or _let_83 _let_77 _let_456 _let_349 _let_268 _let_350 _let_388 _let_351 _let_694 _let_583) true _let_414 true _let_329 true _let_373 true _let_330 true _let_711 true _let_336 true _let_437 false tptp.hskp13 true _let_433 true _let_338 true _let_705 true _let_702 true _let_80 false tptp.hskp10 true _let_395 false _let_441 true tptp.hskp17 false _let_299 false _let_297)) _let_643 _let_642 _let_457 (MACRO_RESOLUTION_TRUST _let_795 _let_797 _let_550 _let_549 _let_793 _let_791 _let_931 _let_789 _let_930 _let_787 _let_928 :args ((or tptp.hskp3 _let_456 _let_349 _let_448 _let_794 _let_927) false _let_672 true _let_160 true _let_163 false _let_744 false tptp.hskp24 false _let_420 true tptp.hskp1 true tptp.hskp4 false _let_387 false _let_926)) _let_695 _let_632 _let_925 _let_923 _let_592 _let_922 _let_728 _let_727 _let_726 _let_458 :args ((or _let_456 _let_349 _let_268 _let_350 _let_351 _let_352 _let_360 _let_353) true _let_77 true _let_83 false tptp.hskp10 true _let_388 false _let_674 false _let_446 true tptp.hskp3 false _let_921 false _let_442 false _let_918 false _let_656 false _let_274 false _let_657 true _let_395)))) (let ((_let_933 (MACRO_RESOLUTION_TRUST _let_533 _let_455 _let_536 _let_506 _let_808 _let_714 _let_805 _let_718 _let_841 _let_720 _let_529 _let_840 _let_724 _let_546 _let_725 _let_552 _let_671 _let_669 _let_932 _let_455 _let_791 _let_455 _let_914 _let_385 _let_381 _let_380 _let_379 _let_378 _let_377 _let_342 _let_341 :args ((or _let_251 _let_270 _let_268) false tptp.ndr1_0 true _let_375 true _let_374 true _let_320 true _let_373 true _let_372 true _let_371 true _let_366 false _let_364 true _let_369 false _let_368 false _let_365 true _let_363 false _let_362 true _let_361 true _let_354 false _let_357 false _let_360 false tptp.ndr1_0 false tptp.hskp24 false tptp.ndr1_0 true tptp.hskp1 true _let_359 true _let_353 true _let_352 true _let_351 true _let_350 true _let_349 false _let_250 false _let_253)))) (let ((_let_934 (tptp.c0_1 tptp.a110))) (let ((_let_935 (or _let_934 _let_73 _let_70))) (let ((_let_936 (not _let_197))) (let ((_let_937 (not _let_934))) (let ((_let_938 (or _let_937 _let_936 _let_73))) (let ((_let_939 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (tptp.a110 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)))) (let ((_let_940 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a110 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_590)) :args _let_589)))) (let ((_let_941 (MACRO_RESOLUTION_TRUST _let_928 _let_913 :args (_let_926 false _let_388)))) (let ((_let_942 (REORDERING (ASSUME :args (_let_257)) :args ((or tptp.hskp9 tptp.hskp5 tptp.hskp4))))) (let ((_let_943 (ASSUME :args (_let_198)))) (let ((_let_944 (REORDERING (ASSUME :args (_let_75)) :args ((or _let_69 _let_74))))) (let ((_let_945 (REORDERING (ASSUME :args (_let_72)) :args ((or _let_69 _let_71))))) (let ((_let_946 (REORDERING (CNF_OR_POS :args (_let_938)) :args ((or _let_73 _let_936 _let_937 (not _let_938)))))) (let ((_let_947 (REORDERING (CNF_OR_POS :args (_let_935)) :args ((or _let_73 _let_70 _let_934 (not _let_935)))))) (let ((_let_948 (MACRO_RESOLUTION_TRUST _let_947 _let_946 _let_945 _let_944 _let_943 _let_942 _let_930 _let_941 _let_940 _let_922 _let_939 _let_602 _let_455 :args ((or tptp.hskp5 _let_833) true _let_934 true _let_70 true _let_73 false _let_197 false tptp.hskp9 true tptp.hskp4 false _let_926 false _let_938 false _let_918 false _let_935 false _let_445 false tptp.ndr1_0)))) (let ((_let_949 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_274 (= U U)))))) (let ((_let_950 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_951 (not _let_207))) (let ((_let_952 (not _let_209))) (let ((_let_953 (or _let_952 _let_951 _let_105))) (let ((_let_954 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U V)))))) (let ((_let_955 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 _let_456 _let_275 _let_950))))) (let ((_let_956 (not _let_953))) (let ((_let_957 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_953)) :args ((or _let_105 _let_952 _let_951 _let_956))) (REORDERING (ASSUME :args (_let_107)) :args ((or _let_104 _let_106))) (ASSUME :args (_let_208)) (ASSUME :args (_let_210)) :args ((or _let_104 _let_956) true _let_105 false _let_207 false _let_209)))) (let ((_let_958 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_559 :args (tptp.a116 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_558)) :args _let_557)))) (let ((_let_959 (MACRO_RESOLUTION_TRUST _let_851 _let_455 _let_629 _let_852 _let_631 _let_958 _let_706 _let_957 _let_710 _let_455 _let_955 _let_455 _let_730 _let_954 :args ((or _let_284 _let_275 _let_277 _let_269) false tptp.ndr1_0 true tptp.hskp17 true _let_303 false _let_299 true _let_304 false _let_297 true _let_953 false _let_703 false tptp.ndr1_0 false tptp.hskp14 false tptp.ndr1_0 true _let_704 true _let_950)))) (let ((_let_960 (MACRO_RESOLUTION_TRUST _let_740 _let_913 :args (_let_295 false _let_388)))) (let ((_let_961 (MACRO_RESOLUTION_TRUST _let_850 _let_852 _let_849 _let_851 _let_455 _let_835 _let_832 :args ((or tptp.hskp17 _let_274 _let_845) false _let_304 true _let_663 false _let_303 false tptp.ndr1_0 true _let_283 true _let_277)))) (let ((_let_962 (REORDERING (CNF_OR_POS :args (_let_319)) :args ((or _let_310 _let_306 _let_307 (not _let_319)))))) (let ((_let_963 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_539 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_538)) :args _let_537)))) (let ((_let_964 (not _let_322))) (let ((_let_965 (_let_964))) (let ((_let_966 (not _let_337))) (let ((_let_967 (not _let_333))) (let ((_let_968 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))))) (let ((_let_969 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_970 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_971 (or _let_408 _let_406 _let_417))) (let ((_let_972 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_973 (not _let_972))) (let ((_let_974 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_975 (not _let_974))) (let ((_let_976 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_977 (not _let_976))) (let ((_let_978 (or _let_977 _let_975 _let_973))) (let ((_let_979 (tptp.c3_1 tptp.a128))) (let ((_let_980 (not _let_979))) (let ((_let_981 (not _let_239))) (let ((_let_982 (not _let_241))) (let ((_let_983 (or _let_982 _let_981 _let_980))) (let ((_let_984 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_985 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_986 (not _let_225))) (let ((_let_987 (or _let_986 _let_142 _let_139))) (let ((_let_988 (not _let_236))) (let ((_let_989 (or _let_981 _let_988 _let_979))) (let ((_let_990 (tptp.c3_1 tptp.a106))) (let ((_let_991 (or _let_272 _let_54 _let_990))) (let ((_let_992 (not _let_990))) (let ((_let_993 (or _let_272 _let_992 _let_54))) (let ((_let_994 (or _let_272 _let_271 _let_992))) (let ((_let_995 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_274 (= U V)))))) (let ((_let_996 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp31 _let_456 _let_969 _let_968))))) (let ((_let_997 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_970 (= U U)))))) (let ((_let_998 (_let_970))) (let ((_let_999 (ASSUME :args _let_998))) (let ((_let_1000 (REFL :args (_let_978)))) (let ((_let_1001 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_978 0)) (CONG _let_1000 (MACRO_SR_PRED_INTRO :args ((= (not _let_977) _let_976))) :args _let_382)) :args ((or _let_976 _let_978))))) (let ((_let_1002 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_978 1)) (CONG _let_1000 (MACRO_SR_PRED_INTRO :args ((= (not _let_975) _let_974))) :args _let_382)) :args ((or _let_974 _let_978))))) (let ((_let_1003 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_1004 (or _let_977 _let_975 _let_1003))) (let ((_let_1005 (not _let_1003))) (let ((_let_1006 (or _let_977 _let_975 _let_1005))) (let ((_let_1007 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_614 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_613)) :args _let_612)))) (let ((_let_1008 (REORDERING (CNF_OR_POS :args (_let_1004)) :args ((or _let_977 _let_975 _let_1003 (not _let_1004)))))) (let ((_let_1009 (MACRO_RESOLUTION_TRUST _let_947 _let_946 _let_945 _let_944 _let_943 _let_942 _let_930 _let_941 _let_940 _let_922 _let_995 _let_996 _let_455 _let_997 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_999 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_998)) _let_939 (REORDERING (CNF_OR_POS :args (_let_1006)) :args ((or _let_977 _let_975 _let_1005 (not _let_1006)))) _let_602 _let_455 _let_1008 _let_610 _let_1007 _let_615 :args ((or tptp.hskp31 _let_383 _let_977 _let_975) true _let_934 true _let_70 true _let_73 false _let_197 false tptp.hskp9 true tptp.hskp4 false _let_926 false _let_938 false _let_918 false _let_274 false _let_968 false tptp.ndr1_0 true _let_969 true _let_970 false _let_935 true _let_1006 false _let_445 false tptp.ndr1_0 false _let_1003 true tptp.hskp5 false _let_1004 false _let_273)))) (let ((_let_1010 (not _let_268))) (let ((_let_1011 (_let_1010))) (let ((_let_1012 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1011)) :args _let_1011)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1010) _let_268))) (REFL :args ((not _let_978))) :args _let_382)))) (let ((_let_1013 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (tptp.a128 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)))) (let ((_let_1014 (_let_985))) (let ((_let_1015 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1014) :args (tptp.a143 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_1014)))) (let ((_let_1016 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_756 :args (tptp.a128 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_755)) :args _let_754)))) (let ((_let_1017 (not _let_989))) (let ((_let_1018 (not _let_983))) (let ((_let_1019 (ASSUME :args (_let_240)))) (let ((_let_1020 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_983)) :args ((or _let_982 _let_981 _let_980 _let_1018))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_989)) :args ((or _let_981 _let_988 _let_979 _let_1017))) (ASSUME :args (_let_238)) _let_1019 :args ((or _let_237 _let_979 _let_1017) false _let_236 false _let_239)) _let_1019 (ASSUME :args (_let_242)) :args ((or _let_237 _let_1018 _let_1017) false _let_979 false _let_239 false _let_241)))) (let ((_let_1021 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 tptp.hskp21 _let_456 _let_274))))) (let ((_let_1022 (ASSUME :args (_let_226)))) (let ((_let_1023 (REORDERING (ASSUME :args (_let_144)) :args ((or _let_138 _let_143))))) (let ((_let_1024 (REORDERING (ASSUME :args (_let_141)) :args ((or _let_138 _let_140))))) (let ((_let_1025 (REORDERING (CNF_OR_POS :args (_let_987)) :args ((or _let_142 _let_139 _let_986 (not _let_987)))))) (let ((_let_1026 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1025 _let_1024 _let_1023 _let_1022 _let_1021 _let_455 _let_1020 _let_1016 _let_759 _let_784 _let_455 _let_782 _let_484 _let_495 _let_1015 _let_497 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_985 (= U U)))) _let_494 _let_493 _let_492 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 _let_456 _let_984 _let_446))) _let_455 _let_901 _let_908 _let_905 _let_1013 _let_1012 (MACRO_RESOLUTION_TRUST _let_1009 _let_1002 _let_1001 :args ((or tptp.hskp31 _let_383 _let_978) false _let_974 false _let_976)) _let_785 _let_963 _let_639 _let_962 _let_640 _let_641 _let_635 _let_634 _let_633 _let_620 _let_617 _let_611 _let_605 _let_604 _let_603 _let_601 _let_455 _let_596 _let_488 _let_911 _let_854 _let_954 _let_853 _let_955 _let_455 _let_847 _let_957 _let_560 _let_850 _let_958 _let_554 _let_553 _let_455 _let_547 _let_544 _let_523 (REORDERING (CNF_OR_POS :args (_let_971)) :args ((or _let_406 _let_417 _let_408 (not _let_971)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_999 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_998)) _let_997 _let_839 _let_838 _let_837 _let_996 _let_455 _let_835 _let_995 _let_595 _let_949 _let_948 _let_610 _let_615 (MACRO_RESOLUTION_TRUST _let_932 _let_455 _let_725 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (tptp.a106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_723 :args (tptp.a106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_722)) :args _let_721)) (REORDERING (CNF_OR_POS :args (_let_994)) :args ((or _let_272 _let_271 _let_992 (not _let_994)))) (REORDERING (CNF_OR_POS :args (_let_993)) :args ((or _let_54 _let_272 _let_992 (not _let_993)))) (REORDERING (CNF_OR_POS :args (_let_991)) :args ((or _let_54 _let_272 _let_990 (not _let_991)))) _let_609 _let_608 _let_607 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_539 :args (tptp.a106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_538)) :args _let_537)) _let_602 _let_455 _let_536 _let_856 _let_533 _let_455 (MACRO_RESOLUTION_TRUST _let_910 _let_912 _let_535 _let_534 _let_540 _let_532 :args ((or _let_363 _let_374 _let_909) true _let_423 true _let_524 true _let_422 true _let_424 true _let_525)) _let_529 _let_546 _let_552 _let_791 _let_455 _let_914 _let_381 _let_380 _let_379 _let_378 _let_377 :args ((or _let_270 _let_374) false tptp.ndr1_0 true _let_360 true _let_268 true _let_362 true _let_994 true _let_993 false _let_990 true _let_54 false _let_183 false _let_185 false _let_991 false tptp.hskp5 false tptp.ndr1_0 false _let_320 true _let_445 false _let_375 false tptp.ndr1_0 true _let_644 true _let_369 true _let_363 true _let_361 false tptp.hskp24 false tptp.ndr1_0 true tptp.hskp1 true _let_353 true _let_352 true _let_351 true _let_350 true _let_349)) _let_515 _let_514 _let_513 _let_510 _let_506 _let_504 _let_500 _let_498 :args ((or tptp.hskp31 tptp.hskp10) true _let_139 true _let_142 false _let_225 false tptp.hskp21 false tptp.ndr1_0 true tptp.hskp29 false _let_989 false _let_330 false _let_329 false tptp.ndr1_0 true _let_323 true _let_322 true _let_466 false _let_987 true _let_290 false _let_985 true _let_167 true _let_170 false _let_227 false _let_984 false tptp.ndr1_0 false tptp.hskp25 true tptp.hskp16 false _let_651 false _let_983 false _let_268 false _let_978 true _let_321 true _let_320 true _let_446 true _let_319 true _let_447 true _let_307 true _let_306 true _let_317 false _let_309 true _let_318 true _let_316 true _let_315 true _let_132 true _let_135 false _let_223 false tptp.hskp20 false tptp.ndr1_0 true _let_313 false _let_292 false _let_652 true _let_312 false _let_284 true _let_305 false _let_950 false tptp.ndr1_0 false _let_300 true tptp.hskp14 false _let_311 false _let_663 false _let_953 false _let_304 false _let_428 false tptp.ndr1_0 true _let_427 true _let_426 true _let_425 true _let_407 false _let_971 false _let_970 true _let_278 false _let_279 false _let_281 false _let_969 false tptp.ndr1_0 true _let_283 true _let_968 true _let_276 true _let_275 true _let_274 true tptp.hskp5 false _let_273 false _let_270 false _let_403 false _let_416 false _let_405 true _let_418 true _let_374 true _let_373 true _let_413 false tptp.hskp28)) (MACRO_RESOLUTION_TRUST _let_751 _let_455 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_749 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_748)) :args _let_747)) _let_753 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_325 _let_324 _let_331 _let_966))) (REORDERING (CNF_OR_POS :args (_let_333)) :args ((or _let_327 _let_324 _let_332 _let_967))) (CNF_OR_NEG :args (_let_328 2)) (CNF_OR_NEG :args (_let_328 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_328 0)) (CONG (REFL :args (_let_328)) (MACRO_SR_PRED_INTRO :args ((= (not _let_327) _let_326))) :args _let_382)) :args ((or _let_326 _let_328))) :args ((or _let_328 _let_967 _let_966) true _let_331 true _let_324 true _let_325 false _let_326)) _let_757 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_756 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_755)) :args _let_754)) _let_759 _let_784 _let_455 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_965)) :args _let_965)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_964) _let_322))) (REFL :args ((not _let_328))) :args _let_382)) _let_782 (MACRO_RESOLUTION_TRUST _let_497 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_485 _let_484 :args ((or _let_964 _let_496) false _let_290 true _let_167 true _let_170 false _let_227 false tptp.hskp25 true tptp.hskp8 false _let_468 false _let_466)) _let_785 _let_963 _let_962 _let_641 _let_635 _let_633 _let_620 _let_617 _let_611 _let_605 _let_604 _let_603 _let_601 _let_455 _let_596 _let_854 _let_560 _let_853 _let_852 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_302 2)) (CONG (REFL :args _let_848) (MACRO_SR_PRED_INTRO :args ((= (not _let_301) _let_300))) :args _let_382)) :args ((or _let_300 _let_302))) _let_851 _let_455 _let_961 _let_629 _let_631 _let_709 _let_736 _let_960 _let_488 _let_732 _let_839 _let_837 _let_959 _let_835 _let_832 _let_595 _let_949 _let_948 _let_610 _let_615 _let_933 _let_348 _let_347 _let_343 :args (_let_251 false tptp.ndr1_0 true _let_338 true tptp.hskp13 true _let_337 false _let_336 false _let_333 false _let_330 false _let_329 false tptp.ndr1_0 true _let_328 true _let_323 true _let_322 true _let_321 true _let_320 true _let_319 true _let_307 true _let_306 false _let_309 true _let_318 true _let_316 true _let_315 true _let_132 true _let_135 false _let_223 false tptp.hskp20 false tptp.ndr1_0 true _let_313 true _let_312 false _let_311 true _let_305 false _let_304 false _let_300 false _let_303 false tptp.ndr1_0 true _let_302 true tptp.hskp17 false _let_299 false _let_297 false _let_296 false _let_295 false _let_292 false _let_289 true _let_278 false _let_281 false _let_284 true _let_283 true _let_277 true _let_276 true _let_275 true _let_274 true tptp.hskp5 false _let_273 false _let_270 true _let_269 true _let_268 true _let_267)) :args (tptp.hskp10 true tptp.hskp31)))) (let ((_let_1027 (not _let_199))) (let ((_let_1028 (or _let_1027 _let_90 _let_87))) (let ((_let_1029 (or _let_936 _let_73 _let_70))) (let ((_let_1030 (not _let_1029))) (let ((_let_1031 (or _let_975 _let_1005 _let_973))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1028)) :args ((or _let_90 _let_87 _let_1027 (not _let_1028)))) (REORDERING (ASSUME :args (_let_89)) :args ((or _let_86 _let_88))) (REORDERING (ASSUME :args (_let_92)) :args ((or _let_86 _let_91))) (ASSUME :args (_let_200)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp11 _let_456 _let_433))) _let_455 _let_844 _let_961 _let_629 _let_631 _let_709 _let_736 _let_960 _let_732 _let_959 _let_832 _let_949 _let_948 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_886 :args (tptp.a112 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_885)) :args _let_884)) _let_883 _let_455 _let_781 _let_783 _let_785 _let_784 _let_455 _let_782 _let_779 _let_778 _let_882 _let_881 _let_602 _let_455 _let_610 _let_615 _let_933 (MACRO_RESOLUTION_TRUST _let_808 _let_536 _let_805 _let_533 _let_455 _let_841 _let_529 _let_840 _let_546 _let_725 _let_552 _let_671 _let_669 _let_932 _let_455 _let_791 _let_455 _let_914 _let_385 _let_381 _let_380 _let_379 _let_378 _let_377 _let_1009 _let_506 (MACRO_RESOLUTION_TRUST _let_762 _let_763 _let_760 _let_455 _let_480 _let_455 _let_379 _let_479 _let_1007 _let_473 _let_1008 _let_469 _let_455 (REORDERING (CNF_OR_POS :args (_let_1031)) :args ((or _let_975 _let_973 _let_1005 (not _let_1031)))) _let_500 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_503 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_502)) :args _let_501)) _let_504 :args ((or tptp.hskp31 _let_692 _let_508 _let_977 _let_975 _let_973) false _let_690 false tptp.hskp12 false tptp.ndr1_0 false _let_284 false tptp.ndr1_0 true _let_351 true tptp.hskp15 true _let_270 false _let_464 true _let_1004 false _let_312 false tptp.ndr1_0 true _let_1003 true tptp.hskp28 false _let_1031 false _let_413)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_978 2)) (CONG _let_1000 (MACRO_SR_PRED_INTRO :args ((= (not _let_973) _let_972))) :args _let_382)) :args ((or _let_972 _let_978))) _let_1001 _let_1002 _let_1012 :args ((or tptp.hskp31 _let_268 _let_692) false _let_320 true _let_372 false _let_375 false tptp.ndr1_0 true _let_366 true _let_369 false _let_368 true _let_363 false _let_362 true _let_361 true _let_354 false _let_357 false _let_360 false tptp.ndr1_0 false tptp.hskp24 false tptp.ndr1_0 true tptp.hskp1 true _let_359 true _let_353 true _let_352 true _let_351 true _let_350 true _let_349 true _let_270 true _let_374 true _let_373 false _let_972 false _let_976 false _let_974 true _let_978)) _let_759 _let_758 _let_757 _let_753 _let_751 _let_455 _let_348 (MACRO_RESOLUTION_TRUST _let_632 _let_455 _let_380 _let_378 _let_695 _let_615 (MACRO_RESOLUTION_TRUST _let_795 _let_797 :args ((or _let_163 _let_160 _let_794 _let_796) false _let_672)) _let_610 _let_793 _let_942 _let_931 _let_455 _let_550 _let_549 _let_925 _let_930 _let_941 _let_454 _let_923 _let_922 _let_556 _let_961 _let_564 _let_844 _let_569 (MACRO_RESOLUTION_TRUST _let_586 _let_578 _let_574 _let_572 :args ((or _let_437 _let_577 _let_585) true _let_398 false _let_396 false _let_400)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1029)) :args ((or _let_73 _let_70 _let_936 _let_1030))) _let_945 _let_944 _let_943 :args ((or _let_69 _let_1030) true _let_70 true _let_73 false _let_197)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_776 :args (tptp.a110 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_775)) :args _let_774)) _let_800 _let_801 _let_455 _let_629 _let_631 _let_709 _let_736 _let_960 _let_732 _let_480 _let_455 _let_479 _let_473 _let_593 _let_469 _let_455 _let_500 _let_504 (MACRO_RESOLUTION_TRUST _let_1025 _let_1024 _let_1023 _let_1022 _let_1021 _let_455 _let_1020 _let_1016 _let_759 _let_784 _let_455 _let_785 _let_963 _let_962 _let_641 _let_635 _let_633 _let_620 _let_617 _let_1015 _let_560 _let_611 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_985 (= U V)))) _let_852 _let_605 _let_604 _let_603 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) _let_455 _let_851 _let_455 _let_601 _let_455 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_312 (= U U)))) _let_596 _let_832 _let_595 _let_593 _let_592 _let_629 _let_586 _let_584 _let_631 _let_578 _let_576 _let_574 _let_573 _let_572 _let_570 _let_455 _let_569 _let_566 _let_564 _let_556 _let_454 _let_782 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_322 (= U W)))) _let_552 _let_779 _let_546 _let_778 _let_540 _let_773 _let_522 _let_771 _let_792 _let_790 _let_455 _let_914 _let_764 _let_544 _let_523 _let_518 _let_515 _let_514 _let_513 _let_510 _let_507 _let_506 :args ((or tptp.hskp31 _let_83 _let_80 _let_77 _let_373 _let_1018 _let_577 _let_517) true _let_139 true _let_142 false _let_225 false tptp.hskp21 false tptp.ndr1_0 true tptp.hskp29 false _let_989 false _let_330 false _let_329 false tptp.ndr1_0 true _let_321 true _let_320 true _let_319 true _let_307 true _let_306 false _let_309 true _let_318 true _let_316 false _let_987 false _let_311 true _let_315 false _let_985 false _let_304 true _let_132 true _let_135 false _let_223 false (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))) false tptp.ndr1_0 false _let_303 false tptp.ndr1_0 false tptp.hskp20 false tptp.ndr1_0 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))) true _let_313 true _let_277 true _let_276 true _let_312 true _let_274 true tptp.hskp17 true _let_443 true _let_442 false _let_299 true _let_398 false _let_297 false _let_396 false _let_435 false _let_400 false _let_438 false tptp.ndr1_0 true _let_437 true _let_434 true _let_433 true _let_432 false tptp.hskp30 true _let_323 true (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c3_1 W))) true tptp.hskp24 true _let_322 false _let_361 true _let_768 false _let_363 false _let_765 false _let_424 false _let_766 false _let_420 false _let_743 false tptp.ndr1_0 true tptp.hskp1 true _let_742 true _let_426 true _let_425 true _let_407 false _let_403 false _let_416 false _let_405 true _let_418 true _let_415 true _let_374)) _let_343 _let_461 _let_459 _let_1013 _let_347 :args ((or _let_83 _let_80 _let_77 _let_1010) false tptp.ndr1_0 true _let_352 true _let_350 true _let_446 true _let_270 true _let_674 true _let_273 false _let_744 false tptp.hskp5 false _let_420 false tptp.ndr1_0 true _let_160 true _let_163 true tptp.hskp3 true tptp.hskp4 false _let_926 false tptp.hskp24 false _let_921 false _let_918 true tptp.hskp30 false _let_274 false _let_432 false _let_302 false _let_433 false _let_437 true tptp.hskp9 false _let_1029 false _let_662 false _let_664 false tptp.ndr1_0 true tptp.hskp17 false _let_299 false _let_297 false _let_296 false _let_295 false _let_289 false _let_284 false tptp.ndr1_0 true tptp.hskp15 false _let_464 false _let_443 false _let_312 false tptp.ndr1_0 true tptp.hskp28 false _let_413 false _let_373 true tptp.hskp31 false _let_409 false _let_402 false _let_983 false _let_267)) _let_750 _let_746 :args (_let_702 true _let_87 true _let_90 false _let_199 false tptp.hskp11 false tptp.ndr1_0 true _let_433 true _let_302 true tptp.hskp17 false _let_299 false _let_297 false _let_296 false _let_295 false _let_289 false _let_284 true _let_277 true _let_275 true _let_274 false _let_1028 false _let_867 false tptp.ndr1_0 true tptp.hskp19 false _let_770 false _let_320 false _let_321 false tptp.ndr1_0 true _let_323 true _let_322 true _let_768 false _let_765 false _let_863 false _let_445 false tptp.ndr1_0 true tptp.hskp5 false _let_273 false _let_270 false tptp.hskp31 true _let_329 true _let_692 true _let_330 true _let_336 false tptp.hskp13 false tptp.ndr1_0 true _let_269 true _let_268 true _let_338 true _let_702)) (MACRO_RESOLUTION_TRUST _let_741 _let_1026 :args (_let_81 false tptp.hskp10)) (MACRO_RESOLUTION_TRUST _let_642 _let_1026 :args (_let_84 false tptp.hskp10)) (MACRO_RESOLUTION_TRUST _let_643 _let_1026 :args (_let_78 false tptp.hskp10)) :args (false true _let_80 true _let_83 true _let_77)) :args (_let_263 _let_262 _let_261 (or _let_237 tptp.ndr1_0) (or _let_230 tptp.ndr1_0) (or _let_174 tptp.ndr1_0) (or _let_173 tptp.ndr1_0) (or _let_166 tptp.ndr1_0) _let_260 (or _let_155 tptp.ndr1_0) (or _let_145 tptp.ndr1_0) (or _let_138 tptp.ndr1_0) (or _let_131 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_123 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_112 tptp.ndr1_0) (or _let_108 tptp.ndr1_0) (or _let_104 tptp.ndr1_0) (or _let_100 tptp.ndr1_0) (or _let_93 tptp.ndr1_0) (or _let_86 tptp.ndr1_0) (or _let_76 tptp.ndr1_0) (or _let_69 tptp.ndr1_0) (or _let_62 tptp.ndr1_0) (or _let_58 tptp.ndr1_0) (or _let_57 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_49 tptp.ndr1_0) (or _let_45 tptp.ndr1_0) (or _let_44 tptp.ndr1_0) (or _let_37 tptp.ndr1_0) (or _let_36 tptp.ndr1_0) _let_259 (or tptp.hskp5 tptp.hskp15 tptp.hskp13) _let_258 _let_257 (or tptp.hskp26 tptp.hskp7 tptp.hskp0) (or tptp.hskp26 tptp.hskp11 tptp.hskp4) (or tptp.hskp25 tptp.hskp27 tptp.hskp24) _let_256 _let_254 _let_252 _let_249 _let_247 _let_245 _let_242 _let_240 _let_238 _let_235 _let_233 _let_231 (or _let_174 (tptp.c2_1 tptp.a196)) (or _let_173 (tptp.c0_1 tptp.a187)) _let_228 _let_226 _let_224 _let_222 (or _let_123 (tptp.c0_1 tptp.a134)) (or _let_123 (tptp.c3_1 tptp.a134)) _let_220 _let_218 _let_216 _let_214 _let_212 _let_210 _let_208 _let_206 _let_204 _let_202 _let_200 _let_198 _let_196 _let_194 _let_192 _let_190 _let_188 _let_186 _let_184 _let_182 (or _let_49 (tptp.c3_1 tptp.a105)) _let_180 _let_178 (or _let_44 (tptp.c0_1 tptp.a103)) (or _let_44 (tptp.c1_1 tptp.a103)) _let_176 (or _let_36 (tptp.c2_1 tptp.a101)) (or _let_36 (tptp.c3_1 tptp.a101)) (or (not (tptp.c0_1 tptp.a196)) _let_174) (or (not (tptp.c3_1 tptp.a196)) _let_174) (or (not (tptp.c1_1 tptp.a187)) _let_173) (or (not (tptp.c2_1 tptp.a187)) _let_173) _let_172 _let_169 _let_165 _let_162 _let_159 (or (not (tptp.c0_1 tptp.a153)) _let_155) (or (not (tptp.c1_1 tptp.a153)) _let_155) (or (not (tptp.c3_1 tptp.a153)) _let_155) _let_154 _let_151 _let_148 _let_144 _let_141 _let_137 _let_134 _let_130 _let_127 (or (not (tptp.c2_1 tptp.a134)) _let_123) _let_122 _let_119 _let_115 _let_111 _let_107 _let_103 _let_99 _let_96 _let_92 _let_89 _let_85 _let_82 _let_79 _let_75 _let_72 _let_68 _let_65 _let_61 (or (not (tptp.c0_1 tptp.a107)) _let_57) _let_56 _let_52 _let_48 (or (not (tptp.c3_1 tptp.a103)) _let_44) _let_43 _let_40 (or (not (tptp.c0_1 tptp.a101)) _let_36) _let_35 _let_34 _let_33 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp8 tptp.hskp9)) _let_32 _let_31 _let_30 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp0)) _let_29 _let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp8)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp2 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp29 tptp.hskp11)) _let_27 _let_26 _let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp28 tptp.hskp11)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp4 tptp.hskp23)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp4 tptp.hskp10)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp29 tptp.hskp4)) _let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp6 tptp.hskp16)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp25 tptp.hskp0)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp13 tptp.hskp4)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp25 tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) _let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp2)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp11)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp6)) _let_21 _let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp30)) _let_19 _let_18 _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp18)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp8)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp7)) _let_13 _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp17)) _let_11 _let_10 _let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp1)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c3_1 W))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.74  )
% 0.22/0.74  % SZS output end Proof for SYN466-1
% 0.22/0.74  % cvc5---1.0.5 exiting
% 0.22/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------