TSTP Solution File: SYN489-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN489-1 : 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 02:03:37 EDT 2023

% Result   : Unsatisfiable 0.22s 0.73s
% Output   : Proof 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN489-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15  % 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 19:17:11 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KOPfqAb593/cvc5---1.0.5_14160.p...
% 0.22/0.54  ------- get file name : TPTP file name is SYN489-1
% 0.22/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14160.smt2...
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.73  % SZS status Unsatisfiable for SYN489-1
% 0.22/0.73  % SZS output start Proof for SYN489-1
% 0.57/0.76  (
% 0.57/0.76  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_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.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) tptp.hskp3)))) (let ((_let_10 (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.hskp6)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp4)))) (let ((_let_12 (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.hskp21)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp17)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp13)))) (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.c2_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)))) (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.c1_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp12)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp0)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp3)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp11)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp9)))) (let ((_let_25 (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.hskp8)))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp6 tptp.hskp20)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp28 tptp.hskp1)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp25 tptp.hskp20)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp18 tptp.hskp0)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp25 tptp.hskp3)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp9 tptp.hskp4)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp20 tptp.hskp14)))) (let ((_let_34 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp21 tptp.hskp22)))) (let ((_let_35 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp20)))) (let ((_let_36 (not tptp.hskp0))) (let ((_let_37 (tptp.c2_1 tptp.a2516))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36))) (let ((_let_40 (tptp.c1_1 tptp.a2516))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_36))) (let ((_let_43 (tptp.c0_1 tptp.a2516))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_36))) (let ((_let_46 (not tptp.hskp1))) (let ((_let_47 (tptp.c3_1 tptp.a2517))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.c0_1 tptp.a2517))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46))) (let ((_let_53 (not tptp.hskp2))) (let ((_let_54 (tptp.c3_1 tptp.a2518))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (tptp.c0_1 tptp.a2518))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_53))) (let ((_let_60 (not tptp.hskp3))) (let ((_let_61 (tptp.c3_1 tptp.a2519))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (tptp.c2_1 tptp.a2519))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_60))) (let ((_let_67 (tptp.c0_1 tptp.a2519))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_60))) (let ((_let_70 (not tptp.hskp4))) (let ((_let_71 (tptp.c1_1 tptp.a2521))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (not tptp.hskp5))) (let ((_let_75 (not tptp.hskp6))) (let ((_let_76 (tptp.c3_1 tptp.a2523))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (not tptp.hskp7))) (let ((_let_80 (not tptp.hskp8))) (let ((_let_81 (tptp.c3_1 tptp.a2525))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80))) (let ((_let_84 (not tptp.hskp9))) (let ((_let_85 (tptp.c0_1 tptp.a2526))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (not tptp.hskp10))) (let ((_let_89 (not tptp.hskp11))) (let ((_let_90 (tptp.c3_1 tptp.a2531))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (not tptp.hskp12))) (let ((_let_94 (tptp.c3_1 tptp.a2533))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93))) (let ((_let_97 (tptp.c2_1 tptp.a2533))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_93))) (let ((_let_100 (tptp.c1_1 tptp.a2533))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_93))) (let ((_let_103 (not tptp.hskp13))) (let ((_let_104 (tptp.c2_1 tptp.a2534))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_103))) (let ((_let_107 (tptp.c0_1 tptp.a2534))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_103))) (let ((_let_110 (not tptp.hskp14))) (let ((_let_111 (tptp.c3_1 tptp.a2536))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110))) (let ((_let_114 (tptp.c1_1 tptp.a2536))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_110))) (let ((_let_117 (tptp.c0_1 tptp.a2536))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_110))) (let ((_let_120 (not tptp.hskp15))) (let ((_let_121 (not tptp.hskp16))) (let ((_let_122 (tptp.c3_1 tptp.a2540))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_121))) (let ((_let_125 (tptp.c2_1 tptp.a2540))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_121))) (let ((_let_128 (not tptp.hskp17))) (let ((_let_129 (tptp.c2_1 tptp.a2541))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128))) (let ((_let_132 (tptp.c1_1 tptp.a2541))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_128))) (let ((_let_135 (not tptp.hskp18))) (let ((_let_136 (tptp.c0_1 tptp.a2545))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135))) (let ((_let_139 (not tptp.hskp19))) (let ((_let_140 (tptp.c1_1 tptp.a2548))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_139))) (let ((_let_143 (not tptp.hskp20))) (let ((_let_144 (tptp.c1_1 tptp.a2549))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_145 _let_143))) (let ((_let_147 (tptp.c0_1 tptp.a2549))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_143))) (let ((_let_150 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_795)) :args _let_794)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_824 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_823)) :args _let_822)) (REORDERING (CNF_OR_POS :args (_let_935)) :args ((or _let_929 _let_927 _let_931 (not _let_935)))) (REORDERING (CNF_OR_POS :args (_let_934)) :args ((or _let_929 _let_926 _let_931 (not _let_934)))) (REORDERING (CNF_OR_POS :args (_let_933)) :args ((or _let_929 _let_926 _let_932 (not _let_933)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_460 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_459)) :args _let_458)) _let_457 _let_456 _let_455 _let_880 _let_878 (REORDERING (CNF_OR_POS :args (_let_641)) :args ((or _let_640 _let_638 _let_637 _let_936))) _let_834 _let_833 _let_832 _let_453 (MACRO_RESOLUTION_TRUST _let_586 _let_600 _let_425 _let_606 _let_429 _let_788 _let_428 _let_784 _let_430 _let_774 _let_435 _let_918 _let_436 _let_916 _let_438 _let_940 _let_445 _let_939 _let_376 _let_375 _let_377 _let_374 :args ((or _let_140 _let_291 _let_259 _let_751 _let_646 _let_728 _let_590) false _let_307 true _let_300 false _let_587 true _let_380 false _let_588 true _let_90 false _let_752 false tptp.hskp11 true _let_750 true _let_367 true _let_284 true _let_364 true _let_910 true _let_359 false _let_650 false _let_398 false _let_653 true _let_296 false _let_297 true _let_295 true _let_299)) (CNF_OR_NEG :args (_let_930 2)) (CNF_OR_NEG :args (_let_930 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_930 0)) (CONG (REFL :args (_let_930)) (MACRO_SR_PRED_INTRO :args ((= (not _let_929) _let_928))) :args _let_371)) :args ((or _let_928 _let_930))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_938)) :args _let_938)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_937) _let_355))) (REFL :args ((not _let_930))) :args _let_371)) _let_782 :args ((or _let_140 _let_291 _let_355 _let_259 _let_649 _let_646 _let_936 _let_590) false _let_762 true _let_761 true _let_765 true _let_935 true _let_934 true _let_931 false _let_933 false _let_406 false _let_405 true _let_404 true _let_401 true _let_840 false _let_637 true _let_638 false _let_639 true _let_668 true _let_403 true _let_400 true _let_926 true _let_927 false _let_928 true _let_930 true _let_751)) (MACRO_RESOLUTION_TRUST _let_541 _let_540 _let_536 _let_535 _let_519 _let_534 _let_517 _let_533 _let_513 _let_482 _let_490 _let_925 _let_426 _let_586 _let_600 _let_526 _let_525 _let_524 _let_811 _let_547 _let_549 _let_924 (MACRO_RESOLUTION_TRUST _let_923 (REORDERING (CNF_OR_POS :args (_let_635)) :args ((or _let_170 _let_634 _let_633 _let_911))) _let_922 _let_921 _let_920 :args ((or _let_169 _let_911 _let_919) false _let_633 true _let_170 true _let_173 false _let_232)) _let_606 _let_788 _let_784 _let_782 _let_780 _let_779 _let_777 _let_776 _let_775 _let_774 _let_543 _let_773 _let_918 _let_917 _let_916 _let_915 _let_827 _let_914 _let_745 _let_913 _let_912 :args ((or tptp.hskp6 _let_140 _let_291 _let_646 _let_645 _let_372 _let_911 _let_590) true _let_532 false _let_531 true _let_530 true tptp.hskp2 true _let_527 false _let_282 false _let_529 false _let_280 false _let_411 false _let_478 false _let_268 false _let_394 false _let_300 false _let_307 true _let_264 true _let_266 true _let_267 true _let_263 true _let_262 true _let_412 false tptp.hskp3 true tptp.hskp25 false _let_587 false _let_588 false _let_752 true _let_751 true _let_355 true _let_354 true _let_144 true _let_147 false _let_222 true _let_750 true _let_283 false tptp.hskp20 true _let_284 true _let_347 true _let_910 true _let_652 true tptp.hskp17 false _let_650 false _let_261 false _let_909 false _let_908)) _let_807 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_358 (= U V)))) _let_562 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.a2548 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)) _let_902 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_647)) :args ((or _let_140 _let_646 _let_645 _let_906))) _let_905 _let_904 _let_903 :args ((or _let_139 _let_906) true _let_140 false _let_218 false _let_220)) _let_905 _let_904 _let_903 _let_900 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_893)) :args ((or _let_125 _let_122 _let_892 (not _let_893)))) (REORDERING (ASSUME :args (_let_124)) :args ((or _let_121 _let_123))) (REORDERING (ASSUME :args (_let_127)) :args ((or _let_121 _let_126))) (ASSUME :args (_let_211)) (REORDERING (ASSUME :args (_let_253)) :args ((or tptp.hskp19 tptp.hskp16 tptp.hskp6))) _let_616 _let_612 _let_902 _let_900 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.a2540 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_890)) :args _let_568)) _let_891 :args ((or tptp.hskp19 _let_697 _let_894) true _let_122 true _let_125 false _let_210 false tptp.hskp16 true tptp.hskp6 false _let_343 false _let_335 false _let_644 false _let_893 false _let_636)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_890)) :args _let_568)) _let_891 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.a2564 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_890)) :args _let_568)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_675 _let_673 _let_674 (not _let_676)))) (REORDERING (CNF_OR_POS :args (_let_691)) :args ((or _let_675 _let_689 _let_690 (not _let_691)))) (CNF_OR_NEG :args (_let_692 2)) (CNF_OR_NEG :args (_let_692 1)) (CNF_OR_NEG :args (_let_692 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_889)) :args _let_889)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_888) _let_532))) (REFL :args ((not _let_692))) :args _let_371)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_498 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_497)) :args _let_496)) _let_887 _let_865 _let_886 (REORDERING (CNF_OR_POS :args (_let_626)) :args ((or _let_155 _let_623 _let_625 _let_694))) _let_864 _let_884 _let_883 _let_882 _let_863 _let_881 _let_606 _let_847 _let_597 _let_848 _let_599 _let_849 _let_596 _let_595 _let_594 _let_875 _let_586 _let_426 _let_477 _let_513 _let_517 _let_519 _let_876 _let_877 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_610 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_609)) :args _let_608)) (REORDERING (CNF_OR_POS :args (_let_680)) :args ((or _let_664 _let_661 _let_677 (not _let_680)))) _let_731 _let_734 _let_565 (MACRO_RESOLUTION_TRUST _let_429 _let_428 _let_430 _let_434 _let_583 _let_582 _let_581 _let_580 _let_579 _let_578 _let_466 _let_461 _let_577 _let_457 _let_572 _let_456 _let_567 _let_455 _let_370 _let_880 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_744 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_743)) :args _let_742)) _let_878 (REORDERING (CNF_OR_POS :args (_let_839)) :args ((or _let_667 _let_638 _let_838 (not _let_839)))) (REORDERING (CNF_OR_POS :args (_let_837)) :args ((or _let_640 _let_667 _let_637 (not _let_837)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_610 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_609)) :args _let_608)) _let_877 _let_876 _let_519 _let_517 _let_513 _let_477 _let_426 _let_425 _let_875 _let_849 _let_848 _let_847 _let_845 _let_844 (REORDERING (EQUIV_ELIM1 _let_564) :args ((or _let_334 _let_843))) :args ((or tptp.hskp6 tptp.hskp3 _let_291 _let_417 _let_285 _let_666 _let_660 _let_403 _let_334 _let_640 _let_667 _let_638 _let_590 _let_842 _let_841 _let_473) true _let_90 false tptp.hskp11 true _let_367 true _let_397 true _let_395 true _let_85 false _let_200 false _let_202 false tptp.hskp9 true tptp.hskp4 false _let_409 false _let_420 false _let_406 false _let_324 false _let_405 false _let_326 true _let_404 true _let_294 true _let_401 true _let_259 true _let_840 true _let_839 false _let_637 false _let_837 false _let_273 false _let_274 true tptp.hskp2 false _let_282 false _let_280 false _let_411 false _let_394 false _let_380 false _let_300 true _let_681 true _let_682 true _let_685 false tptp.hskp21 true _let_836 true _let_335)) _let_549 _let_486 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) _let_547 _let_835 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (tptp.a2534 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) _let_834 (CNF_OR_NEG :args (_let_668 1)) _let_833 _let_495 _let_832 _let_453 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_400 (= U U)))) _let_452 (MACRO_RESOLUTION_TRUST _let_809 _let_789 _let_787 _let_786 _let_785 _let_783 _let_781 _let_830 _let_829 _let_810 (REORDERING (CNF_OR_POS :args (_let_721)) :args ((or _let_71 _let_407 _let_720 (not _let_721)))) _let_811 _let_465 _let_464 _let_463 _let_812 _let_578 _let_828 _let_816 _let_817 _let_818 _let_827 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.a2521 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_826)) :args _let_826)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_825) _let_358))) (REFL :args ((not _let_718))) :args _let_371)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_766)) :args ((or _let_755 _let_763 _let_756 (not _let_766)))) (REORDERING (CNF_OR_POS :args (_let_758)) :args ((or _let_755 _let_753 _let_757 (not _let_758)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_824 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_823)) :args _let_822)) (CNF_OR_NEG :args (_let_764 2)) (CNF_OR_NEG :args (_let_764 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_764 0)) (CONG (REFL :args (_let_764)) (MACRO_SR_PRED_INTRO :args ((= (not _let_755) _let_754))) :args _let_371)) :args ((or _let_754 _let_764))) (MACRO_RESOLUTION_TRUST _let_821 _let_819 _let_818 _let_817 _let_816 _let_814 _let_581 _let_580 _let_579 _let_812 _let_811 _let_810 _let_809 _let_789 _let_746 _let_745 _let_741 _let_787 _let_786 _let_785 _let_783 _let_781 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_498 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_497)) :args _let_496)) (REORDERING (CNF_OR_POS :args (_let_803)) :args ((or _let_629 _let_801 _let_630 (not _let_803)))) _let_449 (REORDERING (CNF_OR_POS :args (_let_632)) :args ((or _let_629 _let_627 _let_631 _let_693))) _let_807 (CNF_OR_NEG :args (_let_802 2)) (CNF_OR_NEG :args (_let_802 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_802 0)) (CONG (REFL :args (_let_802)) (MACRO_SR_PRED_INTRO :args ((= (not _let_629) _let_628))) :args _let_371)) :args ((or _let_628 _let_802))) _let_806 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_805)) :args _let_805)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_804) _let_765))) (REFL :args ((not _let_802))) :args _let_371)) _let_740 :args ((or _let_291 _let_268 _let_711 _let_765 _let_762 _let_334 _let_693) true _let_129 false tptp.hskp17 true _let_722 true _let_723 true _let_724 true _let_85 false _let_200 false _let_202 false tptp.hskp9 true _let_263 true _let_262 true _let_725 true _let_713 false _let_715 false _let_261 false _let_259 true _let_37 true _let_40 true _let_43 false tptp.hskp0 true _let_727 true _let_355 true _let_803 false _let_361 true _let_630 false _let_358 true _let_627 true _let_801 false _let_628 false _let_649 true _let_802 true _let_712)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_800)) :args _let_800)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_799) _let_761))) (REFL :args ((not _let_764))) :args _let_371)) _let_798 _let_797 _let_793 _let_494 _let_493 _let_492 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp1 _let_291 _let_355 _let_532))) _let_792 _let_791 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_605 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_604)) :args _let_603)) _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_777 _let_776 _let_775 _let_774 _let_773 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_546 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_545)) :args _let_544)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_772 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_771)) :args _let_770)) (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_706 _let_704 _let_747 (not _let_749)))) (REORDERING (CNF_OR_POS :args (_let_748)) :args ((or _let_706 _let_717 _let_747 (not _let_748)))) (REORDERING (CNF_OR_POS :args (_let_707)) :args ((or _let_706 _let_704 _let_703 _let_768))) (CNF_OR_NEG :args (_let_718 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_718 1)) (CONG _let_769 (MACRO_SR_PRED_INTRO :args ((= (not _let_717) _let_716))) :args _let_371)) :args ((or _let_716 _let_718))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_718 0)) (CONG _let_769 (MACRO_SR_PRED_INTRO :args ((= (not _let_706) _let_705))) :args _let_371)) :args ((or _let_705 _let_718))) :args ((or tptp.hskp6 _let_291 _let_268 _let_711 _let_334 _let_718 _let_768 _let_767 _let_693) true _let_756 false _let_766 true _let_763 true _let_753 false _let_754 false _let_765 true _let_764 true _let_762 true _let_761 true _let_760 true _let_47 true _let_50 false _let_184 false tptp.hskp1 true _let_532 true _let_759 false _let_758 true _let_713 false _let_588 true _let_37 true _let_40 true _let_43 false _let_752 false tptp.hskp0 true _let_751 true _let_727 true _let_355 true _let_354 true _let_144 true _let_147 false _let_222 true _let_750 false tptp.hskp20 true _let_284 true _let_347 true _let_749 true _let_748 false _let_703 true _let_704 false _let_716 false _let_705)) _let_746 _let_745 (MACRO_RESOLUTION_TRUST _let_438 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_361 0)) (CONG (REFL :args _let_440) (MACRO_SR_PRED_INTRO :args ((= (not _let_360) _let_359))) :args _let_371)) :args ((or _let_359 _let_361))) _let_377 _let_376 _let_741 _let_374 :args ((or _let_291 _let_259 _let_334 _let_437) false _let_359 true _let_295 true _let_296 true _let_361 true _let_299)) _let_740 _let_739 _let_565 _let_738 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_737 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_735)) _let_734 _let_733 (REORDERING (CNF_OR_POS :args (_let_709)) :args ((or _let_664 _let_662 _let_678 (not _let_709)))) _let_731 _let_730 _let_729 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_444 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_443)) :args _let_442)) _let_445 :args ((or tptp.hskp6 _let_291 _let_417 _let_728 _let_693 _let_664 _let_662 _let_661) true _let_713 true _let_37 true _let_40 true _let_43 false tptp.hskp0 true _let_727 true _let_355 true _let_726 false _let_725 true _let_719 false _let_262 true _let_71 false _let_188 false _let_190 false _let_263 false tptp.hskp4 true tptp.hskp9 false _let_724 false _let_723 false _let_722 true tptp.hskp17 false _let_721 false _let_358 false _let_718 false _let_715 false _let_261 false _let_259 true _let_712 true _let_711 true _let_334 true _let_268 true _let_682 true _let_335 true _let_710 true _let_709 true _let_679 false _let_677 false _let_708 false _let_707 false _let_398)) _let_702 _let_701 _let_700 _let_699 _let_696 _let_695 _let_573 :args ((or tptp.hskp8 tptp.hskp6 _let_291 _let_286 _let_694 _let_590 _let_693) true _let_674 true _let_673 true _let_689 true _let_675 true _let_692 false _let_691 true _let_532 false _let_355 true _let_688 true _let_624 false _let_687 true _let_155 true _let_158 false _let_228 true _let_686 false tptp.hskp22 true _let_588 true tptp.hskp21 true _let_587 false _let_685 true _let_308 false _let_682 true _let_302 false _let_303 false _let_305 false _let_681 true _let_307 true _let_300 true _let_394 true _let_411 true _let_280 true _let_282 false tptp.hskp2 true _let_274 true _let_273 true _let_680 true _let_677 false _let_679 false _let_335 false _let_334 true tptp.hskp3 false _let_467 false _let_676 false _let_412 false _let_672 false _let_670 true _let_638 true _let_667 false _let_639 false _let_262 true _let_668 true _let_403 true _let_666 true _let_402 true _let_400 true _let_661 true _let_662 false _let_663 true _let_665 true _let_660 true _let_285 true _let_417)) _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_658)) :args _let_505)) _let_659 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (tptp.a2552 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_658)) :args _let_505)) _let_657 _let_508 :args ((or tptp.hskp6 _let_291 _let_656) true _let_655 true tptp.hskp4 true _let_300 false _let_409 true _let_394 false _let_406 false _let_467 false _let_405 false _let_262 true _let_404 true _let_403 true _let_402 true _let_401 true _let_400 true _let_654 true _let_653 true _let_650 false _let_652 false _let_347 true tptp.hskp20 true _let_411 true _let_280 false _let_354 false _let_355 true _let_259 true _let_649 true _let_648 false _let_415 true _let_358 false _let_335 true _let_647 true _let_140 false _let_218 false _let_220 false _let_644 false tptp.hskp19 false _let_641 false _let_636 false _let_635 false _let_286 true tptp.hskp8 false _let_632 false _let_310 false _let_626 false _let_622 false _let_470)))) (let ((_let_943 (_let_656))) (let ((_let_944 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_943)) :args _let_943)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_656) _let_311))) (REFL :args ((not _let_323))) :args _let_371)))) (let ((_let_945 (REFL :args (_let_323)))) (let ((_let_946 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_323 0)) (CONG _let_945 (MACRO_SR_PRED_INTRO :args ((= (not _let_322) _let_321))) :args _let_371)) :args ((or _let_321 _let_323))))) (let ((_let_947 (CNF_OR_NEG :args (_let_323 2)))) (let ((_let_948 (REORDERING (CNF_OR_POS :args (_let_338)) :args ((or _let_322 _let_318 _let_337 (not _let_338)))))) (let ((_let_949 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_310 0)) (CONG (REFL :args _let_598) (MACRO_SR_PRED_INTRO :args ((= (not _let_309) _let_308))) :args _let_371)) :args ((or _let_308 _let_310))))) (let ((_let_950 (REORDERING (CNF_OR_POS :args (_let_316)) :args ((or _let_306 _let_304 _let_309 (not _let_316)))))) (let ((_let_951 (_let_325))) (let ((_let_952 (ASSUME :args _let_951))) (let ((_let_953 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_952 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_951)))) (let ((_let_954 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_323 1)) (CONG _let_945 (MACRO_SR_PRED_INTRO :args ((= (not _let_320) _let_319))) :args _let_371)) :args ((or _let_319 _let_323))))) (let ((_let_955 (not _let_325))) (let 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(MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_368 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_367 (= V W)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_969) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_969)) _let_435 (REORDERING (CNF_OR_POS :args (_let_366)) :args ((or _let_351 _let_349 _let_365 (not _let_366)))) _let_436 (REORDERING (CNF_OR_POS :args (_let_363)) :args ((or _let_351 _let_349 _let_362 (not _let_363)))) _let_441 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)) _let_449 _let_454 _let_509 _let_504 _let_780 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_352 2)) (CONG _let_968 (MACRO_SR_PRED_INTRO :args ((= (not _let_349) _let_348))) :args _let_371)) :args ((or _let_348 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_let_1008))))) (let ((_let_1010 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 tptp.hskp14 _let_291 _let_979))))) (let ((_let_1011 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_273 (= U U)))))) (let ((_let_1012 (not _let_980))) (let ((_let_1013 ((not (= (tptp.c2_1 U) false))))) (let ((_let_1014 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_984)) :args ((or _let_71 _let_408 _let_720 (not _let_984)))) _let_829 _let_465 _let_463 _let_578 _let_828 _let_816 _let_817 _let_818 _let_740 _let_995 _let_1005 _let_899 _let_573 _let_898 _let_1002 _let_897 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.a2523 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_890)) :args _let_568)) _let_902 (REORDERING (CNF_OR_POS :args (_let_985)) :args ((or _let_76 _let_342 _let_981 (not _let_985)))) _let_612 (REORDERING (CNF_OR_POS :args (_let_983)) :args ((or _let_76 _let_342 _let_982 (not _let_983)))) _let_616 _let_615 _let_614 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_546 :args (tptp.a2521 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1013)) :args _let_544)) _let_942 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (tptp.a2523 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_506)) :args _let_505)) _let_657 _let_924 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 tptp.hskp20 _let_291 _let_311))) (MACRO_RESOLUTION_TRUST _let_923 (REORDERING (CNF_OR_POS :args (_let_980)) :args ((or _let_173 _let_634 _let_633 _let_1012))) _let_922 _let_921 _let_920 :args ((or _let_169 _let_1012 _let_919) false _let_633 true _let_170 true _let_173 false _let_232)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_610 :args (tptp.a2564 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_609)) :args _let_608)) _let_1011 _let_1010 (MACRO_RESOLUTION_TRUST _let_874 _let_873 _let_871 _let_870 _let_869 :args ((or _let_110 _let_841 _let_872) true _let_671 true _let_111 true _let_114 true _let_117)) _let_549 _let_547 _let_835 (MACRO_RESOLUTION_TRUST _let_1009 _let_1007 _let_1005 _let_1003 _let_898 _let_1002 _let_897 _let_1001 _let_902 _let_1000 _let_612 _let_542 _let_616 _let_543 _let_773 _let_918 _let_917 _let_916 _let_915 _let_914 _let_905 _let_904 _let_903 _let_999 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 tptp.hskp19 _let_291 _let_989))) _let_540 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_998) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_998)) _let_535 (REORDERING (CNF_OR_POS :args (_let_988)) :args ((or _let_265 _let_264 _let_527 (not _let_988)))) _let_997 _let_996 _let_995 _let_526 _let_994 _let_525 _let_925 _let_524 _let_811 _let_827 _let_745 _let_913 _let_970 :args ((or tptp.hskp20 _let_291 _let_262) false _let_993 false _let_618 false _let_325 true _let_617 false _let_642 false _let_620 false _let_992 true _let_644 true _let_991 true _let_335 true _let_280 true _let_343 true _let_283 false tptp.hskp6 true _let_284 true _let_347 true _let_910 true _let_652 false _let_650 true _let_140 false _let_218 false _let_220 true _let_990 false tptp.hskp19 true _let_532 true _let_989 true _let_530 true _let_988 true _let_527 false _let_987 false _let_986 true _let_264 true _let_265 true _let_266 false _let_268 true _let_267 true _let_263 true tptp.hskp17 false _let_261 false _let_909 false _let_259)) _let_941 _let_866 _let_780 _let_830 _let_912 _let_827 _let_745 _let_970 :args ((or _let_291 _let_937) false _let_719 true _let_71 false _let_190 false tptp.hskp4 true tptp.hskp9 false _let_724 false _let_723 false _let_722 true _let_712 true _let_268 true _let_986 true _let_618 true _let_417 true _let_617 false _let_642 false _let_620 true _let_286 true _let_644 true _let_985 true _let_335 true _let_981 true _let_343 true _let_76 false _let_194 false _let_984 false tptp.hskp6 false _let_983 false _let_622 false _let_284 false _let_311 true tptp.hskp25 false _let_980 false _let_273 false _let_979 true tptp.hskp14 true tptp.hskp3 false _let_412 false _let_672 false _let_262 true tptp.hskp20 false _let_852 false _let_354 false _let_726 false _let_908 true tptp.hskp17 false _let_261 false _let_259)))) (let ((_let_1015 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_280 (= U V)))))) (let ((_let_1016 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_311 (= U U)))))) (let ((_let_1017 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 _let_291 _let_974 _let_973))))) (let ((_let_1018 (REORDERING (ASSUME :args (_let_99)) :args ((or _let_93 _let_98))))) (let ((_let_1019 (REORDERING (ASSUME :args (_let_96)) :args ((or _let_93 _let_95))))) (let ((_let_1020 (REORDERING (CNF_OR_POS :args (_let_978)) :args ((or _let_97 _let_94 _let_977 (not _let_978)))))) (let ((_let_1021 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.a2533 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_568)))) (let ((_let_1022 (MACRO_RESOLUTION_TRUST _let_844 _let_845 _let_958 _let_696 _let_962 _let_1021 _let_964 _let_1020 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_347 (= U U)))) (REORDERING (CNF_OR_POS :args (_let_972)) :args ((or _let_97 _let_94 _let_971 (not _let_972)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_291 _let_976 _let_975))) _let_1019 _let_1018 _let_957 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_325 (= U V)))) _let_1017 _let_953 _let_1016 _let_950 _let_659 _let_597 _let_600 _let_595 _let_594 _let_586 _let_426 _let_477 _let_513 _let_1015 (MACRO_RESOLUTION_TRUST _let_571 _let_696 _let_566 _let_845 _let_563 _let_844 _let_552 _let_562 _let_558 _let_557 _let_519 _let_556 _let_517 :args ((or tptp.hskp21 tptp.hskp3 _let_291 _let_511) false _let_286 true _let_416 false _let_660 true _let_181 true _let_836 false tptp.hskp27 true _let_335 true _let_178 false _let_413 true tptp.hskp2 true _let_415 false _let_282)) _let_847 _let_848 _let_739 _let_783 (MACRO_RESOLUTION_TRUST _let_809 _let_789 _let_787 _let_786 _let_785 :args ((or _let_36 _let_767 _let_808) true _let_713 true _let_37 true _let_40 true _let_43)) _let_606 _let_863 _let_864 _let_549 _let_486 _let_810 _let_547 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (tptp.a2533 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) _let_865 _let_746 _let_970 _let_781 _let_1014 :args ((or _let_291 _let_522) false _let_836 true _let_335 true _let_660 true _let_340 true _let_286 false _let_345 true _let_978 false _let_347 false _let_971 false _let_976 true _let_94 true _let_97 true _let_333 true _let_975 false tptp.hskp12 true _let_325 true _let_974 true _let_316 true _let_311 false _let_308 true _let_310 false _let_303 false _let_305 true _let_307 true _let_300 true _let_394 true _let_411 true _let_973 true _let_280 true tptp.hskp21 false _let_685 false _let_682 false _let_711 true tptp.hskp0 false _let_587 false _let_588 false _let_686 true tptp.hskp3 false _let_467 false _let_725 false _let_412 false _let_972 true _let_687 false _let_715 false _let_259 true _let_727 true _let_355)))) (let ((_let_1023 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_489 :args (tptp.a2614 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)))) (let ((_let_1024 (not _let_270))) (let ((_let_1025 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_181 _let_178 _let_269 _let_1024))) _let_554 _let_563 _let_553 :args ((or _let_177 _let_1024) true _let_178 true _let_181 false _let_234)))) (let ((_let_1026 (ASSUME :args (_let_258)))) (let ((_let_1027 (ASSUME :args (_let_231)))) (let ((_let_1028 (REORDERING (ASSUME :args (_let_167)) :args ((or _let_161 _let_166))))) (let ((_let_1029 (REORDERING (ASSUME :args (_let_164)) :args ((or _let_161 _let_163))))) (let ((_let_1030 (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_165 _let_162 _let_271 (not _let_272)))))) (let ((_let_1031 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_610 :args (tptp.a2553 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_609)) :args _let_608)))) (let ((_let_1032 (not _let_273))) (let ((_let_1033 (_let_1032))) (let ((_let_1034 (or _let_322 _let_337 _let_320))) (let ((_let_1035 (or _let_117 _let_114 _let_111))) (let ((_let_1036 (or _let_971 _let_100 _let_94))) (let ((_let_1037 (or _let_625 _let_623 _let_158))) (let ((_let_1038 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c1_1 U))))) (let ((_let_1039 (not _let_214))) (let ((_let_1040 (not _let_216))) (let ((_let_1041 (or _let_1040 _let_1039 _let_136))) (let ((_let_1042 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_278 _let_275 _let_287 (not _let_290)))) (REORDERING (CNF_OR_POS :args (_let_289)) :args ((or _let_278 _let_276 _let_288 (not _let_289)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_890)) :args _let_568)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_546 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_545)) :args _let_544)) _let_695 _let_876 _let_543 _let_519 _let_542 _let_517 (MACRO_RESOLUTION_TRUST _let_963 (REORDERING (CNF_OR_POS :args (_let_1034)) :args ((or _let_322 _let_320 _let_337 (not _let_1034)))) _let_954 _let_946 _let_944 _let_942 _let_616 _let_612 _let_902 (MACRO_RESOLUTION_TRUST _let_1005 _let_1009 _let_898 _let_1002 _let_897 :args ((or _let_644 _let_1008 _let_1004) true _let_618 true _let_617 false _let_642 false _let_620)) _let_965 _let_774 _let_784 _let_788 _let_606 _let_600 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1035)) :args ((or _let_117 _let_114 _let_111 (not _let_1035)))) _let_871 _let_870 _let_869 _let_1010 _let_941 _let_780 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_605 :args (tptp.a2545 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_604)) :args _let_603)) (REORDERING (CNF_OR_POS :args (_let_1041)) :args ((or _let_136 _let_1040 _let_1039 (not _let_1041)))) _let_788 (REORDERING (ASSUME :args (_let_138)) :args ((or _let_135 _let_137))) (ASSUME :args (_let_215)) (ASSUME :args (_let_217)) _let_784 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 tptp.hskp18 _let_291 _let_1038))) _let_774 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_546 :args (tptp.a2552 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1013)) :args _let_544)) (REORDERING (CNF_OR_POS :args (_let_1037)) :args ((or _let_158 _let_623 _let_625 (not _let_1037)))) _let_886 _let_884 _let_883 _let_882 _let_881 _let_847 _let_848 _let_739 _let_783 _let_782 _let_781 :args ((or tptp.hskp0 _let_291 _let_400 _let_355 _let_885) true _let_1041 false _let_588 true _let_136 false _let_214 false _let_216 false _let_752 false tptp.hskp18 true _let_750 true _let_1038 true _let_284 true _let_1037 false _let_624 true _let_155 true _let_158 false _let_228 false tptp.hskp22 true tptp.hskp21 false _let_685 false _let_682 false _let_711 true _let_751 true _let_727)) (MACRO_RESOLUTION_TRUST _let_789 _let_791 _let_787 _let_786 _let_785 :args ((or _let_36 _let_767 _let_790) false _let_713 true _let_37 true _let_40 true _let_43)) _let_729 _let_730 _let_733 _let_702 _let_701 _let_700 _let_699 _let_1021 _let_1020 (REORDERING (CNF_OR_POS :args (_let_1036)) :args ((or _let_100 _let_94 _let_971 (not _let_1036)))) _let_792 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_539 :args (tptp.a2533 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_538)) :args _let_537)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_539 :args (tptp.a2536 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_538)) :args _let_537)) _let_887 _let_999 _let_1001 _let_1019 _let_1018 (REORDERING (ASSUME :args (_let_102)) :args ((or _let_93 _let_101))) _let_1003 _let_1017 _let_953 _let_1016 _let_950 _let_659 _let_949 _let_746 _let_970 :args ((or _let_291 _let_979 _let_973 _let_991 _let_306 _let_304 _let_310 _let_732) true _let_111 true _let_114 true _let_117 false tptp.hskp14 true tptp.hskp20 false _let_354 false _let_355 true tptp.hskp0 true _let_400 true _let_708 true _let_677 true _let_661 true _let_662 false _let_663 true _let_665 true _let_286 true _let_978 false _let_971 false _let_759 false _let_1036 false _let_1035 false _let_688 false _let_532 false _let_990 true _let_94 true _let_97 true _let_100 true _let_992 false tptp.hskp12 true _let_325 true _let_974 true _let_316 true _let_311 false _let_308 false _let_715 false _let_259)) _let_595 _let_594 _let_586 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_952 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1006)) :args _let_951)) _let_1007 _let_426 _let_1003 _let_482 _let_1001 _let_513 _let_1000 _let_1015 _let_999 _let_540 _let_535 _let_525 _let_997 _let_994 _let_526 _let_524 _let_996 _let_490 _let_1011 _let_1031 _let_1030 _let_1027 _let_1028 _let_1029 _let_1026 _let_1025 _let_1023 _let_738 _let_782 _let_1014 _let_995 _let_925 _let_827 _let_745 _let_970 _let_811 _let_1022 :args ((or _let_291 _let_280) true _let_336 false _let_319 false _let_321 true _let_323 true _let_311 true tptp.hskp6 false _let_343 false _let_335 false _let_644 false _let_346 false _let_284 false _let_750 true _let_752 true _let_588 true _let_587 false _let_310 false _let_303 false _let_305 true _let_307 false _let_1034 false _let_993 true _let_300 false _let_325 true _let_394 false _let_992 true _let_411 true _let_991 true _let_973 true _let_990 true _let_532 true _let_530 true _let_266 true _let_527 true _let_265 true _let_264 true _let_267 false _let_987 false _let_478 true _let_979 true _let_273 true _let_272 false _let_230 true _let_165 true _let_162 false tptp.hskp23 true tptp.hskp27 false _let_270 false _let_710 true _let_751 true _let_355 false _let_986 false _let_268 true tptp.hskp17 false _let_261 false _let_259 true _let_263 true _let_262)) (CNF_OR_NEG :args (_let_279 2)) (CNF_OR_NEG :args (_let_279 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_279 0)) (CONG (REFL :args (_let_279)) (MACRO_SR_PRED_INTRO :args ((= (not _let_278) _let_277))) :args _let_371)) :args ((or _let_277 _let_279))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1033)) :args _let_1033)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1032) _let_273))) (REFL :args ((not _let_279))) :args _let_371)) _let_877 _let_1031 _let_1030 _let_1029 _let_1028 _let_1027 _let_1026 _let_1025 _let_1023 _let_526 _let_525 _let_925 _let_524 _let_811 _let_1022 _let_827 _let_745 _let_970 :args (_let_291 true _let_287 false _let_290 false _let_289 false _let_286 false _let_285 false _let_284 true tptp.hskp2 false _let_283 false _let_282 false _let_280 true _let_275 true _let_276 false _let_277 true _let_279 true _let_274 true _let_273 true _let_272 true _let_162 true _let_165 false _let_230 false tptp.hskp23 true tptp.hskp27 false _let_270 true _let_264 true _let_266 false _let_268 true _let_267 true _let_263 true _let_262 true tptp.hskp17 false _let_261 false _let_259)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_254)) :args ((or tptp.hskp30 tptp.hskp26 tptp.hskp21))) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_256)) :args ((or tptp.ndr1_0 _let_176))) _let_1042 :args (_let_176 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_257)) :args ((or tptp.ndr1_0 _let_250))) _let_1042 :args (_let_250 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_255)) :args ((or tptp.ndr1_0 _let_150))) _let_1042 :args (_let_150 true tptp.ndr1_0)) :args (false true tptp.hskp26 true tptp.hskp30 true tptp.hskp21)) :args ((or tptp.hskp24 tptp.hskp0) _let_258 (or _let_251 tptp.ndr1_0) _let_257 (or _let_244 tptp.ndr1_0) (or _let_237 tptp.ndr1_0) (or _let_177 tptp.ndr1_0) _let_256 (or _let_169 tptp.ndr1_0) (or _let_168 tptp.ndr1_0) (or _let_161 tptp.ndr1_0) (or _let_154 tptp.ndr1_0) _let_255 (or _let_143 tptp.ndr1_0) (or _let_139 tptp.ndr1_0) (or _let_135 tptp.ndr1_0) (or _let_128 tptp.ndr1_0) (or _let_121 tptp.ndr1_0) (or _let_120 tptp.ndr1_0) (or _let_110 tptp.ndr1_0) (or _let_103 tptp.ndr1_0) (or _let_93 tptp.ndr1_0) (or _let_89 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_75 tptp.ndr1_0) (or _let_74 tptp.ndr1_0) (or _let_70 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_46 tptp.ndr1_0) (or _let_36 tptp.ndr1_0) _let_254 (or tptp.hskp21 tptp.hskp18 tptp.hskp1) (or tptp.hskp21 tptp.hskp2 tptp.hskp20) _let_253 (or tptp.hskp7 tptp.hskp13 tptp.hskp12) _let_252 (or _let_251 (tptp.c0_1 tptp.a2597)) (or _let_251 (tptp.c1_1 tptp.a2597)) (or _let_251 (tptp.c3_1 tptp.a2597)) (or _let_250 (tptp.c0_1 tptp.a2558)) (or _let_250 (tptp.c1_1 tptp.a2558)) (or _let_250 (tptp.c2_1 tptp.a2558)) _let_249 _let_247 _let_245 _let_242 _let_240 _let_238 _let_235 (or _let_176 (tptp.c0_1 tptp.a2601)) (or _let_176 (tptp.c3_1 tptp.a2601)) _let_233 (or _let_168 (tptp.c0_1 tptp.a2555)) (or _let_168 (tptp.c2_1 tptp.a2555)) _let_231 _let_229 _let_227 _let_225 _let_223 _let_221 _let_219 _let_217 _let_215 _let_213 _let_211 (or _let_120 (tptp.c3_1 tptp.a2539)) _let_209 _let_207 _let_205 (or _let_88 (tptp.c3_1 tptp.a2528)) _let_203 _let_201 _let_199 _let_197 (or _let_79 (tptp.c1_1 tptp.a2524)) (or _let_79 (tptp.c3_1 tptp.a2524)) _let_195 _let_193 (or _let_74 (tptp.c2_1 tptp.a2522)) (or _let_74 (tptp.c3_1 tptp.a2522)) _let_191 _let_189 _let_187 _let_185 _let_183 _let_180 (or (not (tptp.c2_1 tptp.a2601)) _let_176) _let_175 _let_172 (or (not (tptp.c1_1 tptp.a2555)) _let_168) _let_167 _let_164 _let_160 _let_157 _let_153 _let_149 _let_146 _let_142 _let_138 _let_134 _let_131 _let_127 _let_124 (or (not (tptp.c0_1 tptp.a2539)) _let_120) (or (not (tptp.c2_1 tptp.a2539)) _let_120) _let_119 _let_116 _let_113 _let_109 _let_106 _let_102 _let_99 _let_96 _let_92 (or (not (tptp.c0_1 tptp.a2528)) _let_88) (or (not (tptp.c1_1 tptp.a2528)) _let_88) _let_87 _let_83 (or (not (tptp.c2_1 tptp.a2524)) _let_79) _let_78 (or (not (tptp.c0_1 tptp.a2522)) _let_74) _let_73 _let_69 _let_66 _let_63 _let_59 _let_56 _let_52 _let_49 _let_45 _let_42 _let_39 _let_35 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp6 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp28 tptp.hskp3)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp13 tptp.hskp4)) _let_34 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp23 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp22)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp29 tptp.hskp2)) _let_33 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp16)) _let_32 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp4 tptp.hskp15)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp15 tptp.hskp0)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp18 tptp.hskp10)) _let_31 _let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp5 tptp.hskp22)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp8 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp30 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp24 tptp.hskp25)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp29 tptp.hskp10)) _let_29 _let_28 _let_27 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp31 tptp.hskp23)) _let_26 _let_25 _let_24 _let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) _let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp4)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)) _let_21 (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.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp14)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp7)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp24)) _let_20 _let_19 _let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp0)) _let_17 _let_16 _let_15 _let_14 _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp24)) _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp16)) (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.hskp21)) _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp10)) (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)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp14)) (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.c3_1 V)) (tptp.c1_1 V) tptp.hskp28)) _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)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp18)) _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) _let_4 _let_3 _let_2 _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c0_1 W))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.57/0.76  )
% 0.57/0.77  % SZS output end Proof for SYN489-1
% 0.57/0.77  % cvc5---1.0.5 exiting
% 0.57/0.77  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------