TSTP Solution File: SYN476-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN476-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 02:03:30 EDT 2023

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Proof 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN476-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 19:43:25 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iT3aamT9LT/cvc5---1.0.5_29938.p...
% 0.22/0.53  ------- get file name : TPTP file name is SYN476-1
% 0.22/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29938.smt2...
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.56/0.76  % SZS status Unsatisfiable for SYN476-1
% 0.56/0.76  % SZS output start Proof for SYN476-1
% 0.62/0.80  (
% 0.62/0.80  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)) (tptp.c3_1 V) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$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 W)) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W))))) (let ((_let_6 (forall ((U $$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 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp2)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp28)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp2)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp7)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp24)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp20)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp23)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp21)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp20)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp15)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp19)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp9)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp4)))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp29)))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp3)))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp9)))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp11)))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp30)))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_31 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c1_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp15)))) (let ((_let_32 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_33 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)))) (let ((_let_34 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp9 tptp.hskp19)))) (let ((_let_35 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp18 tptp.hskp25)))) (let ((_let_36 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp30 tptp.hskp21)))) (let ((_let_37 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp9 tptp.hskp13)))) (let ((_let_38 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp18 tptp.hskp15)))) (let ((_let_39 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp18 tptp.hskp30)))) (let ((_let_40 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp7 tptp.hskp23)))) (let ((_let_41 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp21 tptp.hskp0)))) (let ((_let_42 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp18 tptp.hskp13)))) (let ((_let_43 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp28 tptp.hskp17)))) (let ((_let_44 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp31 tptp.hskp24)))) (let ((_let_45 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp7 tptp.hskp14)))) (let ((_let_46 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp28 tptp.hskp2)))) (let ((_let_47 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp8)))) (let ((_let_48 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp7 tptp.hskp5)))) (let ((_let_49 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp7)))) (let ((_let_50 (not tptp.hskp0))) (let ((_let_51 (tptp.c3_1 tptp.a1098))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50))) (let ((_let_54 (tptp.c2_1 tptp.a1098))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_50))) (let ((_let_57 (tptp.c1_1 tptp.a1098))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_50))) (let ((_let_60 (not tptp.hskp1))) (let ((_let_61 (tptp.c0_1 tptp.a1099))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (not tptp.hskp2))) (let ((_let_65 (tptp.c3_1 tptp.a1100))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (not tptp.hskp3))) (let ((_let_69 (tptp.c3_1 tptp.a1101))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68))) (let ((_let_72 (not tptp.hskp4))) (let ((_let_73 (not tptp.hskp5))) (let ((_let_74 (tptp.c2_1 tptp.a1103))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_73))) (let ((_let_77 (tptp.c0_1 tptp.a1103))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_73))) (let ((_let_80 (not tptp.hskp6))) (let ((_let_81 (tptp.c2_1 tptp.a1104))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80))) (let ((_let_84 (not tptp.hskp7))) (let ((_let_85 (tptp.c1_1 tptp.a1105))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (not tptp.hskp8))) (let ((_let_89 (tptp.c0_1 tptp.a1107))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88))) (let ((_let_92 (not tptp.hskp9))) (let ((_let_93 (tptp.c3_1 tptp.a1108))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92))) (let ((_let_96 (tptp.c1_1 tptp.a1108))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_92))) (let ((_let_99 (not tptp.hskp10))) (let ((_let_100 (tptp.c2_1 tptp.a1110))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99))) (let ((_let_103 (tptp.c1_1 tptp.a1110))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_99))) (let ((_let_106 (not tptp.hskp11))) (let ((_let_107 (tptp.c2_1 tptp.a1113))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_106))) (let ((_let_110 (not tptp.hskp12))) (let ((_let_111 (tptp.c3_1 tptp.a1114))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110))) (let ((_let_114 (tptp.c0_1 tptp.a1114))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_110))) (let ((_let_117 (not tptp.hskp13))) (let ((_let_118 (tptp.c3_1 tptp.a1115))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (tptp.c1_1 tptp.a1115))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_117))) (let ((_let_124 (not tptp.hskp14))) (let ((_let_125 (tptp.c3_1 tptp.a1118))) (let ((_let_126 (not _let_125))) (let 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_let_275)))) (let ((_let_878 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 _let_342 _let_818 _let_825))))) (let ((_let_879 (MACRO_RESOLUTION_TRUST _let_878 _let_877 _let_872 _let_871 _let_870 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_859 _let_858 _let_856 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_797 _let_848 _let_667 _let_795 :args ((or _let_264 _let_342 _let_819 _let_818 _let_815 _let_395 _let_433) true tptp.hskp29 true _let_825 false _let_305 true _let_733 false _let_301 true _let_827 false _let_399 true _let_74 true _let_77 false _let_217 true _let_398 false tptp.hskp5 true _let_397 true _let_833 true _let_173 true _let_176 false _let_255 true _let_391 false tptp.hskp23 true _let_429 true _let_721 true _let_344 true _let_846 false _let_263 false _let_266)))) (let ((_let_880 (not _let_820))) (let ((_let_881 (or _let_880 _let_54 _let_51))) (let 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(EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_979 (= U W)))))) (let ((_let_1072 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_1073 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_610 (= U V)))))) (let ((_let_1074 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1035 _let_1031 _let_1030 _let_1029 _let_1028 _let_1027 _let_1026 _let_1025 _let_779 _let_848 _let_768 _let_849 _let_1024 _let_1023 _let_1022 _let_775 _let_470 _let_1020 _let_1073 _let_475 _let_439 _let_1072 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_342 _let_966 _let_980))) _let_773 _let_1071 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_979 (= U V)))) _let_1039 _let_1070 _let_1040 _let_1066 _let_1056 _let_1065 _let_1064 _let_1063 _let_1058 _let_1062 _let_1059 _let_1057 _let_1061 _let_1016 _let_407 _let_1012 _let_1011 _let_1010 _let_1009 _let_510 _let_699 _let_700 _let_703 _let_708 _let_707 _let_706 _let_705 _let_739 _let_1060 _let_695 _let_740 (MACRO_RESOLUTION_TRUST _let_903 _let_904 _let_901 _let_900 _let_899 _let_896 _let_1054 _let_1053 _let_1043 _let_1059 _let_1058 _let_1045 _let_1057 _let_404 _let_412 _let_905 _let_579 _let_620 _let_836 _let_841 _let_878 _let_872 _let_870 _let_868 _let_866 _let_865 _let_864 _let_1042 _let_1056 _let_1041 _let_1040 _let_1039 _let_773 _let_439 _let_438 _let_1038 _let_1037 _let_1036 _let_471 _let_638 _let_877 _let_629 _let_890 _let_871 _let_1008 _let_913 _let_912 :args ((or _let_69 _let_342 _let_603 _let_418 _let_417 _let_942 _let_333) false _let_372 false _let_370 false _let_374 false _let_822 true _let_891 true _let_614 true _let_1007 false _let_1002 false _let_936 false _let_974 true _let_1005 true _let_973 true _let_299 true _let_343 false _let_892 false tptp.hskp30 false _let_487 true tptp.hskp21 false _let_816 false _let_818 true _let_825 true _let_733 true _let_827 true _let_74 true _let_77 false _let_217 false tptp.hskp5 true _let_975 true _let_995 true _let_504 true _let_978 false _let_416 false _let_419 false _let_415 false _let_320 false _let_322 true _let_323 true _let_324 true _let_328 true tptp.hskp29 false _let_312 false _let_824 false _let_305 true _let_993 true _let_391 true _let_832)) _let_1055 _let_676 _let_678 (MACRO_RESOLUTION_TRUST _let_903 _let_904 _let_901 _let_900 _let_899 _let_896 _let_1054 _let_1053 _let_1045 _let_404 _let_412 _let_905 _let_579 _let_620 _let_836 _let_841 _let_878 _let_872 _let_870 _let_868 _let_1043 _let_866 _let_865 _let_864 _let_1017 _let_1042 _let_1018 _let_1041 _let_1019 _let_1040 _let_575 _let_1039 _let_578 _let_773 _let_439 _let_438 _let_1038 _let_1037 _let_1036 _let_471 _let_638 _let_877 _let_629 _let_890 _let_871 (MACRO_RESOLUTION_TRUST _let_1035 _let_1031 _let_1030 _let_1029 _let_1028 _let_1027 _let_1026 _let_1025 _let_779 _let_848 _let_768 _let_849 _let_1024 _let_775 _let_1023 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) _let_1022 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_324 (= U V)))) _let_470 _let_475 _let_1021 _let_810 _let_805 _let_619 _let_621 _let_600 _let_1020 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_320 (= U W)))) _let_439 _let_773 _let_578 _let_595 _let_575 _let_1019 _let_1018 _let_1017 _let_1016 _let_407 _let_1012 _let_1011 _let_1010 _let_1009 _let_510 _let_699 _let_700 _let_703 _let_708 _let_707 _let_706 _let_705 _let_739 _let_695 _let_623 _let_740 :args ((or tptp.hskp15 _let_69 _let_342 _let_301 _let_968 _let_713 _let_418 _let_417 _let_383 _let_381 _let_925) true _let_326 false _let_332 true _let_140 true _let_143 false _let_243 false _let_985 false tptp.hskp17 true tptp.hskp4 true tptp.hskp28 false _let_726 false _let_846 false _let_721 false _let_728 false _let_984 false _let_610 true _let_983 true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))) true _let_324 true _let_445 false tptp.hskp9 true tptp.hskp19 false _let_800 false _let_487 false _let_602 true tptp.hskp2 true _let_388 true (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c0_1 W))) true _let_320 true _let_419 true _let_416 false _let_462 false _let_527 false _let_457 false _let_994 true _let_996 true _let_936 true _let_299 true _let_971 true _let_386 false _let_384 false _let_927 false _let_336 false _let_476 true _let_694 true _let_498 true _let_501 true _let_85 false _let_223 false _let_225 false tptp.hskp7 true _let_693 true _let_604 true _let_714)) _let_1008 _let_913 _let_912 :args ((or tptp.hskp15 _let_69 _let_342 _let_968 _let_603 _let_713 _let_418 _let_417 _let_383 _let_381 _let_925 _let_333) false _let_372 false _let_370 false _let_374 false _let_822 true _let_891 true _let_614 true _let_1007 true _let_1005 true _let_299 true _let_343 false _let_892 false tptp.hskp30 false _let_487 true tptp.hskp21 false _let_816 false _let_818 true _let_825 true _let_733 true _let_827 false _let_1002 true _let_74 true _let_77 false _let_217 false _let_936 false tptp.hskp5 false _let_996 true _let_995 true _let_994 true _let_504 true _let_457 true _let_978 true _let_527 false _let_416 false _let_419 false _let_415 false _let_320 false _let_322 true _let_323 true _let_324 true _let_328 true tptp.hskp29 false _let_312 false _let_824 false _let_305 false _let_301 true _let_993 true _let_391 true _let_832)) _let_992 _let_991 _let_990 _let_988 _let_738 _let_622 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_523 (= U V)))) _let_624 _let_631 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 _let_342 _let_965 _let_967))) _let_642 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_335 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_335 (= U U)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_391 (= U U)))) _let_913 _let_912 :args ((or _let_69 _let_342 _let_335 _let_418 _let_417) true _let_326 false _let_332 true _let_140 true _let_143 false _let_243 false _let_985 false 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_let_965 true _let_391 true _let_832)) _let_577 _let_576 _let_772 :args ((or _let_68 _let_342 _let_335) true _let_69 false _let_209 false _let_211)))) (let ((_let_1075 (not _let_934))) (let ((_let_1076 (REFL :args (_let_935)))) (let ((_let_1077 (not _let_936))) (let ((_let_1078 (_let_1077))) (let ((_let_1079 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1015 :args (tptp.a1180 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1014)) :args _let_1013)))) (let ((_let_1080 (or _let_57 _let_54 _let_51))) (let ((_let_1081 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_1082 (or _let_197 _let_194 _let_191))) (let ((_let_1083 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_1084 (not _let_937))) (let ((_let_1085 (not _let_938))) (let ((_let_1086 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_958 :args (tptp.a1098 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_957)) :args _let_956)))) (let ((_let_1087 (or _let_194 _let_191 _let_711))) (let ((_let_1088 (or _let_931 _let_949 _let_928))) (let ((_let_1089 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_1090 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_1091 (not _let_235))) (let ((_let_1092 (or _let_1091 _let_114 _let_111))) (let ((_let_1093 (REORDERING (CNF_OR_POS :args (_let_1088)) :args ((or _let_931 _let_928 _let_949 (not _let_1088)))))) (let ((_let_1094 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_574 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_593)) :args _let_573)))) (let ((_let_1095 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_457 (= U U)))))) (let ((_let_1096 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_342 _let_1089 _let_1090))))) (let ((_let_1097 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_455 (= V V)))))) (let ((_let_1098 (not _let_1087))) (let ((_let_1099 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1092)) :args ((or _let_114 _let_111 _let_1091 (not _let_1092)))) (REORDERING (ASSUME :args (_let_113)) :args ((or _let_110 _let_112))) (REORDERING (ASSUME :args (_let_116)) :args ((or _let_110 _let_115))) (ASSUME :args (_let_236)) (REORDERING (ASSUME :args (_let_291)) :args ((or tptp.hskp26 tptp.hskp19 tptp.hskp12))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1087)) :args ((or _let_194 _let_191 _let_711 _let_1098))) _let_784 _let_781 (REORDERING (ASSUME :args (_let_196)) :args ((or _let_190 _let_195))) _let_780 :args ((or _let_190 _let_782 _let_1098) true _let_711 true _let_191 true _let_194 true _let_197)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_572 :args (tptp.a1114 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_570)) _let_567 _let_555 _let_548 _let_1097 _let_1096 _let_1095 _let_1094 _let_1093 _let_955 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_958 :args (tptp.a1180 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_957)) :args _let_956)) _let_959 :args ((or tptp.hskp19 tptp.hskp3 _let_342 _let_1085 _let_931 _let_929 _let_928 _let_463 _let_782) true _let_111 true _let_114 false _let_235 false tptp.hskp12 true tptp.hskp26 false _let_1092 false _let_524 false _let_522 false _let_519 false _let_455 false _let_1090 true _let_1089 true _let_457 true _let_1088 false _let_948 false _let_1087 false _let_951)))) (let ((_let_1100 (not _let_1080))) (let ((_let_1101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1080)) :args ((or _let_57 _let_54 _let_51 _let_1100))) _let_888 _let_887 _let_886 :args ((or _let_50 _let_1100) true _let_51 true _let_54 true _let_57)))) (let ((_let_1102 (_let_1083))) (let ((_let_1103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1102) :args (tptp.a1180 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 V) true))))) :args _let_1102)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 _let_342 _let_1081 _let_1083))) (REORDERING (CNF_OR_POS :args (_let_1082)) :args ((or _let_197 _let_194 _let_191 (not _let_1082)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_733 (= U U)))) (REORDERING (CNF_OR_POS :args (_let_937)) :args ((or _let_197 _let_195 _let_731 _let_1084))) _let_788 (REORDERING (CNF_OR_NEG :args (_let_732 2)) :args ((or _let_192 _let_732))) (REORDERING (CNF_OR_NEG :args (_let_732 1)) :args ((or _let_198 _let_732))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_732 0)) (CONG (REFL :args _let_783) (MACRO_SR_PRED_INTRO :args ((= (not _let_731) _let_711))) :args _let_511)) :args ((or _let_711 _let_732))) _let_1101 _let_1099 _let_1086 :args ((or tptp.hskp19 tptp.hskp3 _let_342 _let_1085 _let_931 _let_929 _let_928 _let_463 _let_1084) false _let_1083 true _let_1082 true _let_1081 true _let_194 true _let_733 true _let_191 true _let_197 false _let_711 true tptp.hskp0 true _let_732 false _let_1080)))) (let ((_let_1104 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_938 (= U V)))))) (let ((_let_1105 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp30 _let_342 _let_940 _let_939))))) (let ((_let_1106 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_498 (= U U)))))) (let ((_let_1107 (MACRO_RESOLUTION_TRUST _let_868 _let_866 _let_865 _let_864 _let_960 _let_1099 _let_788 _let_870 _let_789 :args ((or tptp.hskp14 tptp.hskp19 tptp.hskp7 tptp.hskp3 _let_342 _let_931 _let_929 _let_928 _let_463) true _let_74 true _let_77 false _let_217 false tptp.hskp5 true _let_938 false _let_732 false _let_827 false _let_733)))) (let ((_let_1108 (MACRO_RESOLUTION_TRUST _let_964 _let_961 _let_791 _let_790 :args ((or _let_124 _let_963) true _let_125 true _let_128 false _let_239)))) (let ((_let_1109 (_let_942))) (let ((_let_1110 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1109)) :args _let_1109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_942) _let_301))) (REFL :args ((not _let_920))) :args _let_511)))) (let ((_let_1111 (REFL :args (_let_920)))) (let ((_let_1112 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_920 0)) (CONG _let_1111 (MACRO_SR_PRED_INTRO :args ((= (not _let_919) _let_918))) :args _let_511)) :args ((or _let_918 _let_920))))) (let ((_let_1113 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_920 2)) (CONG _let_1111 (MACRO_SR_PRED_INTRO :args ((= (not _let_915) _let_914))) :args _let_511)) :args ((or _let_914 _let_920))))) (let ((_let_1114 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_675 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_674)) :args _let_673)))) (let ((_let_1115 (REORDERING (CNF_OR_POS :args (_let_923)) :args ((or _let_919 _let_915 _let_922 (not _let_923)))))) (let ((_let_1116 (REORDERING (CNF_OR_POS :args (_let_924)) :args ((or _let_919 _let_915 _let_921 (not _let_924)))))) (let ((_let_1117 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_698 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_697)) :args _let_696)))) (let ((_let_1118 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_320 (= U U)))))) (let ((_let_1119 (_let_434))) (let ((_let_1120 (REFL :args (_let_389)))) (let ((_let_1121 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_1122 (not _let_369))) (let ((_let_1123 (REORDERING (CNF_OR_POS :args (_let_369)) :args ((or _let_368 _let_366 _let_364 _let_1122))))) (let ((_let_1124 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_342 _let_387 _let_1121))))) (let ((_let_1125 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_454 (= U V)))))) (let ((_let_1126 (or _let_304 _let_303 _let_377))) (let ((_let_1127 (tptp.c3_1 tptp.a1124))) (let ((_let_1128 (not _let_1127))) (let ((_let_1129 (or _let_325 _let_1128 _let_143))) (let ((_let_1130 (or _let_325 _let_143 _let_1127))) (let ((_let_1131 (not _let_379))) (let ((_let_1132 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_698 :args (tptp.a1124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_697)) :args _let_696)))) (let ((_let_1133 (not _let_1130))) (let ((_let_1134 (not _let_1129))) (let ((_let_1135 (REORDERING (CNF_OR_POS :args (_let_1129)) :args ((or _let_143 _let_325 _let_1128 _let_1134))))) (let ((_let_1136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1130)) :args ((or _let_143 _let_325 _let_1127 _let_1133))) _let_1135 _let_1028 _let_1027 :args ((or _let_139 _let_1134 _let_1133) true _let_1127 true _let_143 false _let_243)))) (let ((_let_1137 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_469 :args (tptp.a1124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_468)) :args _let_467)))) (let ((_let_1138 (MACRO_RESOLUTION_TRUST _let_1105 _let_1104 _let_1106 _let_1086 _let_703 _let_1101 _let_709 _let_885 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp23 tptp.hskp7 _let_342 _let_335))) :args ((or tptp.hskp23 tptp.hskp30 _let_342 _let_335) true _let_939 true _let_940 true _let_938 true _let_498 true _let_1080 true _let_501 false tptp.hskp0 false tptp.hskp7)))) (let ((_let_1139 (MACRO_RESOLUTION_TRUST _let_1036 _let_471 _let_1037 _let_638 _let_877 _let_629 _let_871 _let_869 _let_867 _let_863 _let_884 _let_1138 _let_642 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_379)) :args ((or _let_303 _let_302 _let_378 _let_1131))) (REORDERING (CNF_OR_POS :args (_let_1126)) :args ((or _let_304 _let_303 _let_377 (not _let_1126)))) _let_876 _let_875 _let_874 _let_1037 _let_1036 _let_1137 _let_1136 _let_1132 _let_702 _let_658 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_651 :args (tptp.a1116 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_650)) :args _let_649)) _let_652 :args ((or tptp.hskp30 _let_139 _let_342 _let_322 _let_640 _let_1131) false _let_377 false _let_270 false _let_273 false _let_275 false tptp.hskp29 true _let_323 true _let_324 true _let_1130 false _let_1129 false _let_498 true tptp.hskp18 false _let_1126 false _let_339)) _let_1025 (MACRO_RESOLUTION_TRUST _let_652 _let_658 _let_1074 _let_681 _let_1096 _let_678 _let_1097 _let_676 _let_550 _let_1125 _let_560 _let_1124 _let_568 _let_744 _let_475 _let_751 _let_473 _let_470 _let_1123 _let_1022 _let_1095 _let_750 _let_749 _let_748 _let_1023 _let_594 _let_763 _let_1024 _let_668 _let_849 _let_797 _let_848 _let_667 _let_795 _let_666 :args ((or _let_264 _let_342 _let_387 _let_388 _let_433 _let_1122) true _let_339 false _let_335 false tptp.hskp18 false tptp.hskp3 true tptp.hskp15 true _let_1090 false _let_506 true _let_455 false _let_454 true _let_456 false _let_1121 false tptp.hskp13 true _let_504 true tptp.hskp9 true _let_742 false _let_331 false _let_445 true _let_363 false _let_324 true _let_1089 false _let_365 false _let_367 false _let_718 false _let_983 true _let_457 true _let_720 true _let_984 true _let_459 true _let_721 true _let_344 true _let_846 false _let_263 false _let_266 false _let_268)) _let_843 _let_537 _let_532 _let_530 _let_529 _let_528 _let_579 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)) (REORDERING (CNF_OR_POS :args (_let_390)) :args ((or _let_361 _let_359 _let_356 (not _let_390)))) (REORDERING (CNF_OR_POS :args (_let_362)) :args ((or _let_361 _let_359 _let_357 (not _let_362)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_389 1)) (CONG _let_1120 (MACRO_SR_PRED_INTRO :args ((= (not _let_359) _let_358))) :args _let_511)) :args ((or _let_358 _let_389))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_389 0)) (CONG _let_1120 (MACRO_SR_PRED_INTRO :args ((= (not _let_361) _let_360))) :args _let_511)) :args ((or _let_360 _let_389))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1119)) :args _let_1119)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_434) _let_320))) (REFL :args ((not _let_389))) :args _let_511)) _let_1020 _let_1038 _let_1118 (MACRO_RESOLUTION_TRUST _let_850 _let_797 _let_667 _let_795 (MACRO_RESOLUTION_TRUST _let_1010 _let_1009 _let_1011 _let_510 _let_992 _let_991 _let_990 _let_699 _let_988 _let_700 _let_624 _let_1117 _let_631 _let_1116 _let_910 _let_1115 _let_909 _let_1114 _let_907 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_376)) :args ((or _let_375 _let_371 _let_373 _let_431))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_824 1)) (CONG (REFL :args _let_902) (MACRO_SR_PRED_INTRO :args ((= (not _let_373) _let_372))) :args _let_511)) :args ((or _let_372 _let_824))) _let_901 _let_900 _let_906 _let_896 :args ((or tptp.hskp28 _let_342 _let_614 _let_431) false _let_372 false _let_370 false _let_374 true _let_824 true _let_891)) _let_1113 _let_1112 _let_1110 _let_695 (MACRO_RESOLUTION_TRUST _let_872 _let_870 _let_878 _let_868 _let_962 _let_866 _let_865 _let_864 _let_1108 _let_960 _let_1107 _let_709 _let_703 _let_1106 _let_1105 _let_1104 _let_1103 _let_1079 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1078)) :args _let_1078)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1077) _let_936))) (REFL :args ((not _let_935))) :args _let_511)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_934)) :args ((or _let_354 _let_933 _let_351 _let_1075))) (REORDERING (CNF_OR_POS :args (_let_355)) :args ((or _let_354 _let_350 _let_352 _let_432))) (CNF_OR_NEG :args (_let_935 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_935 1)) (CONG _let_1076 (MACRO_SR_PRED_INTRO :args ((= (not _let_350) _let_349))) :args _let_511)) :args ((or _let_349 _let_935))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_935 0)) (CONG _let_1076 (MACRO_SR_PRED_INTRO :args ((= (not _let_354) _let_353))) :args _let_511)) :args ((or _let_353 _let_935))) :args ((or _let_935 _let_432 _let_1075) true _let_351 true _let_933 false _let_349 false _let_353)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_538)) _let_543 _let_569 _let_1074 (MACRO_RESOLUTION_TRUST _let_964 _let_962 _let_961 _let_791 _let_790 _let_878 _let_789 _let_872 _let_870 _let_868 _let_866 _let_865 _let_864 _let_960 _let_709 _let_959 _let_703 _let_955 _let_702 _let_954 _let_658 _let_952 _let_652 :args ((or tptp.hskp30 tptp.hskp29 _let_342 _let_640 _let_931 _let_929 _let_928) false _let_941 true _let_125 true _let_128 false _let_239 false _let_818 false tptp.hskp14 true _let_825 true _let_733 true _let_827 true _let_74 true _let_77 false _let_217 false tptp.hskp5 true tptp.hskp7 true _let_938 false _let_501 true _let_951 false _let_498 true _let_948 true tptp.hskp18 false _let_950 false _let_339)) _let_810 _let_805 _let_620 _let_622 _let_624 _let_631 _let_910 _let_909 _let_907 _let_906 _let_877 _let_890 _let_871 _let_947 _let_946 _let_945 _let_944 :args ((or tptp.hskp30 tptp.hskp28 tptp.hskp21 _let_342 _let_324 _let_942 _let_432 _let_463) true _let_733 false _let_825 true _let_827 true _let_818 true _let_74 true _let_77 false _let_217 true _let_941 false tptp.hskp5 false tptp.hskp14 true tptp.hskp7 false _let_501 false _let_498 false _let_940 true _let_939 true _let_938 false _let_937 false _let_936 false _let_935 false _let_934 false _let_454 false _let_515 true tptp.hskp3 true _let_335 true tptp.hskp19 false _let_800 false _let_487 true _let_603 true _let_523 true _let_607 false tptp.hskp24 true tptp.hskp31 false _let_831 false _let_614 true tptp.hskp29 false _let_824 false _let_305 true _let_929 false _let_930 true _let_928 true _let_932)) :args ((or tptp.hskp30 tptp.hskp28 tptp.hskp21 _let_342 _let_324 _let_432 _let_431 _let_430 _let_463) false _let_927 true _let_384 false _let_336 true _let_925 false _let_380 false _let_382 false _let_476 true _let_926 true _let_694 true _let_523 true _let_498 true _let_607 true _let_924 false tptp.hskp24 true _let_921 true tptp.hskp31 false _let_923 false _let_831 false _let_614 false _let_914 false _let_918 true _let_920 true _let_693 true _let_301)) _let_852 _let_579 (MACRO_RESOLUTION_TRUST _let_868 _let_866 _let_865 _let_864 _let_859 _let_856 _let_913 _let_912 _let_577 _let_576 _let_772 _let_569 _let_624 _let_631 _let_910 _let_909 _let_907 _let_906 _let_870 _let_872 _let_878 _let_877 _let_890 _let_871 _let_869 _let_867 _let_889 _let_879 _let_845 _let_543 _let_844 _let_542 _let_843 _let_541 _let_842 _let_537 _let_533 _let_841 _let_837 _let_532 _let_531 _let_836 _let_530 _let_529 _let_528 _let_834 :args ((or tptp.hskp30 _let_164 tptp.hskp1 _let_342 _let_324 _let_433 _let_465) true _let_74 true _let_77 false _let_217 false tptp.hskp5 true _let_833 true _let_391 true _let_832 true _let_69 false _let_209 false _let_211 false tptp.hskp3 true _let_523 true _let_607 false tptp.hskp24 true tptp.hskp31 false _let_831 false _let_614 false _let_827 false _let_733 false _let_825 true tptp.hskp29 false _let_824 false _let_305 false _let_301 false _let_399 true _let_398 true tptp.hskp28 false _let_821 true _let_515 true _let_819 false _let_455 true _let_395 true _let_454 true _let_710 true _let_394 true _let_453 true _let_818 true _let_817 true _let_393 true _let_413 true _let_816 true _let_165 true _let_168 false _let_253 true _let_815)) (MACRO_RESOLUTION_TRUST _let_797 _let_668 _let_667 _let_795 _let_666 _let_672 _let_600 _let_595 _let_594 _let_568 _let_560 _let_550 _let_542 _let_541 _let_537 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_814 _let_756 _let_760 (MACRO_RESOLUTION_TRUST _let_797 _let_668 _let_667 _let_795 _let_666 _let_672 _let_676 _let_678 _let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_684 :args (tptp.a1104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_683)) :args _let_682)) (MACRO_RESOLUTION_TRUST _let_794 (REORDERING (CNF_OR_POS :args (_let_503)) :args ((or _let_502 _let_490 _let_488 _let_793))) _let_646 _let_645 _let_644 :args ((or _let_80 _let_793 _let_792) false _let_488 true _let_81 false _let_219 false _let_221)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_717)) :args ((or _let_128 _let_716 _let_715 (not _let_717)))) (REORDERING (CNF_OR_POS :args (_let_730)) :args ((or _let_128 _let_716 _let_729 (not _let_730)))) _let_791 _let_790 _let_789 _let_788 _let_784 (REORDERING (CNF_OR_POS :args (_let_712)) :args ((or _let_197 _let_191 _let_711 (not _let_712)))) _let_781 _let_780 (REORDERING (ASSUME :args (_let_294)) :args ((or tptp.hskp26 tptp.hskp4 tptp.hskp3))) _let_779 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (tptp.a1118 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_653)) _let_775 _let_774 _let_661 _let_770 _let_768 _let_764 _let_763 _let_685 (MACRO_RESOLUTION_TRUST _let_700 _let_699 _let_703 _let_510 _let_708 _let_760 _let_707 _let_706 _let_705 _let_756 _let_739 _let_754 _let_695 _let_740 _let_753 _let_752 _let_744 _let_681 :args ((or tptp.hskp18 tptp.hskp15 _let_342 _let_713 _let_720) false _let_694 true _let_498 true _let_476 true _let_501 true _let_336 true _let_85 false _let_223 false _let_225 true _let_452 false tptp.hskp7 false tptp.hskp25 true _let_693 true _let_714 true _let_301 true _let_743 false _let_742 false _let_504)) _let_681 _let_678 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (tptp.a1118 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_741)) :args _let_538)) _let_676 _let_672 _let_670 _let_628 _let_740 _let_739 _let_738 _let_624 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_737 :args (tptp.a1180 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_735)) _let_631 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 tptp.hskp6 _let_342 _let_710))) _let_639 :args ((or tptp.hskp21 tptp.hskp18 tptp.hskp7 tptp.hskp6 tptp.hskp2 _let_342 _let_617 _let_464 _let_734) true _let_715 true _let_128 false _let_239 false tptp.hskp14 true _let_733 true _let_732 false _let_711 true _let_191 true _let_197 false tptp.hskp26 true tptp.hskp4 false _let_730 false _let_728 true tptp.hskp3 false _let_610 false _let_727 false _let_726 false _let_613 false _let_721 false _let_616 false _let_720 false _let_504 true tptp.hskp15 false _let_717 false _let_506 false _let_454 true tptp.hskp28 false _let_608 false _let_301 false _let_714 true _let_713 true _let_523 false _let_712 true _let_607 false _let_710 false tptp.hskp24)) _let_709 _let_703 _let_702 _let_658 _let_652 _let_642 _let_701 _let_691 _let_690 _let_686 _let_600 _let_595 _let_594 _let_592 _let_589 _let_583 _let_579 (MACRO_RESOLUTION_TRUST _let_578 (REORDERING (CNF_OR_POS :args (_let_525)) :args ((or _let_69 _let_417 _let_416 (not _let_525)))) _let_577 _let_576 _let_575 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_572 :args (tptp.a1101 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_570)) _let_569 _let_568 _let_567 _let_564 _let_560 _let_555 _let_553 _let_550 _let_548 _let_547 _let_543 _let_542 _let_541 _let_537 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 :args ((or _let_164 tptp.hskp9 tptp.hskp1 _let_342 _let_481 _let_507 _let_465 _let_463) false _let_416 true _let_69 false _let_209 false _let_527 false _let_525 false tptp.hskp3 false _let_457 false _let_524 true _let_523 true tptp.hskp13 false _let_522 true _let_521 false _let_456 false _let_519 false _let_517 true _let_515 false _let_455 true _let_454 true _let_394 true _let_453 true _let_393 true _let_413 true _let_165 true _let_168 false _let_253)) _let_514 _let_510 :args ((or tptp.hskp30 tptp.hskp9 tptp.hskp1 _let_342 _let_336 _let_433 _let_509 _let_508 _let_507 _let_465 _let_464 _let_463) false _let_344 false _let_263 false _let_266 false _let_268 false tptp.hskp28 true _let_454 true _let_506 false tptp.hskp15 true _let_504 true _let_503 false tptp.hskp6 true tptp.hskp7 false _let_501 false _let_498 true tptp.hskp18 false _let_339 false _let_335 false _let_333 false _let_497 false _let_491 false _let_487 true tptp.hskp2 false _let_462 false _let_459 false _let_457 false _let_486 false _let_485 false _let_391 true tptp.hskp21 true _let_481 true _let_476)) _let_475 _let_473 _let_472 _let_471 _let_470 :args ((or tptp.hskp30 tptp.hskp1 _let_342 _let_466 _let_433 _let_465 _let_464 _let_463) false _let_344 false _let_263 false _let_266 false _let_268 false tptp.hskp28 true tptp.hskp2 false _let_462 false _let_459 false _let_457 true tptp.hskp13 false _let_456 false _let_455 true _let_454 true _let_394 true _let_453 true _let_393 true _let_413 true _let_165 true _let_168 false _let_253 false tptp.hskp21 true tptp.hskp25 false _let_452 false _let_336 true tptp.hskp9 false _let_331 false _let_450 false _let_328 false _let_445)) _let_443 _let_441 _let_440 _let_439 _let_438 :args ((or tptp.hskp30 _let_342 _let_434 _let_433 _let_432 _let_431 _let_430) true _let_344 false _let_263 false _let_266 false tptp.hskp28 false _let_429 false _let_391 true tptp.hskp21 true _let_324 true tptp.hskp1 false _let_428 false _let_425 false _let_419 false _let_415)) _let_412 _let_407 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (tptp.a1116 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_401)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_401)) _let_405 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_401)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_401)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (tptp.a1111 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_401)) _let_404 :args ((or _let_342 _let_400) true _let_324 false _let_323 true _let_328 true tptp.hskp29 false _let_312 false _let_305 false _let_301 false _let_399 true _let_398 true _let_397 false tptp.hskp23 true _let_333 true _let_335 false tptp.hskp17 true tptp.hskp28 true _let_395 true _let_394 true _let_393 true _let_165 true _let_168 false _let_253 false tptp.hskp21 true _let_391 true _let_390 true _let_356 false _let_358 false _let_360 true _let_389 true _let_388 true _let_322 true _let_387 true _let_320 true tptp.hskp30 false _let_386 false _let_379 false _let_376 false _let_369 false _let_362 false _let_355 false _let_348 false _let_343)))) (let ((_let_1140 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_299 (= U U)))))) (let ((_let_1141 (tptp.c1_1 tptp.a1100))) (let ((_let_1142 (or _let_461 _let_1141 _let_65))) (let ((_let_1143 (not _let_1141))) (let ((_let_1144 (or _let_1143 _let_460 _let_65))) (let ((_let_1145 (or _let_314 _let_313 _let_315))) (let ((_let_1146 (or _let_449 _let_484 _let_446))) (let ((_let_1147 (tptp.c1_1 tptp.a1130))) (let ((_let_1148 (or _let_1147 _let_158 _let_155))) (let ((_let_1149 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_1150 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_1151 (not _let_1150))) (let ((_let_1152 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_1153 (not _let_1152))) (let ((_let_1154 (or _let_1153 _let_1151 _let_1149))) (let ((_let_1155 (or _let_1153 _let_1149 _let_1150))) (let ((_let_1156 (or _let_1153 _let_1149 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (let ((_let_1157 (not _let_1147))) (let ((_let_1158 (or _let_1157 _let_161 _let_158))) (let ((_let_1159 (tptp.c1_1 tptp.a1103))) (let ((_let_1160 (or _let_826 _let_1159 _let_74))) (let ((_let_1161 (not _let_1159))) (let ((_let_1162 (or _let_1161 _let_77 _let_74))) (let ((_let_1163 (or _let_502 _let_81 _let_488))) (let ((_let_1164 (or _let_1161 _let_826 _let_74))) (let ((_let_1165 (or _let_1004 _let_999 _let_997))) (let ((_let_1166 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1005 1)) (CONG _let_1048 (MACRO_SR_PRED_INTRO :args ((= (not _let_1004) _let_1003))) :args _let_511)) :args ((or _let_1003 _let_1005))))) (let ((_let_1167 (REORDERING (CNF_OR_POS :args (_let_1165)) :args ((or _let_1004 _let_999 _let_997 (not _let_1165)))))) (let ((_let_1168 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_562)) :args _let_561)))) (let ((_let_1169 (MACRO_RESOLUTION_TRUST _let_543 _let_541 _let_569 _let_533 _let_1168 _let_531 _let_1167 _let_438 _let_1052 _let_1038 _let_1054 _let_1037 _let_906 _let_877 _let_890 _let_871 _let_869 _let_867 _let_843 _let_537 _let_532 _let_530 _let_529 _let_528 _let_1049 _let_1050 _let_1166 _let_1045 _let_1139 :args ((or tptp.hskp28 _let_164 tptp.hskp3 _let_342 _let_323 _let_398) true _let_454 false _let_515 true _let_453 true _let_523 true _let_413 true _let_1165 false _let_415 true _let_997 false _let_320 false _let_1007 false _let_322 false _let_614 true tptp.hskp29 false _let_824 false _let_305 false _let_301 false _let_399 true _let_395 true _let_394 true _let_393 true _let_165 true _let_168 false _let_253 false _let_1000 false _let_998 false _let_1003 true _let_1005 true _let_299)))) (let ((_let_1170 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_1171 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_1172 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_1173 (not _let_1172))) (let ((_let_1174 (or _let_1173 _let_1171 _let_1170))) (let ((_let_1175 (not _let_1171))) (let ((_let_1176 (or _let_1175 _let_1173 _let_1170))) (let ((_let_1177 (or _let_1173 _let_1170 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)))) (let ((_let_1178 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 tptp.hskp0 _let_342 _let_936))))) (let ((_let_1179 (not _let_1176))) (let ((_let_1180 (not _let_1174))) (let ((_let_1181 (not _let_818))) (let ((_let_1182 (_let_1181))) (let ((_let_1183 (MACRO_RESOLUTION_TRUST _let_1104 _let_1086 _let_1105 _let_1101 _let_1106 _let_1178 _let_1117 _let_1043 _let_1116 _let_1053 _let_1115 _let_1054 _let_1114 _let_1045 _let_1139 :args ((or tptp.hskp30 tptp.hskp21 _let_342 _let_894 _let_919 _let_915) true _let_938 false _let_939 true _let_1080 true _let_940 false tptp.hskp0 true _let_498 true _let_936 true _let_924 true _let_1002 true _let_921 false _let_1007 false _let_923 true _let_1005 true _let_299)))) (let ((_let_1184 (or _let_1006 _let_1001 _let_1004))) (let ((_let_1185 (REORDERING (CNF_OR_POS :args (_let_1184)) :args ((or _let_1001 _let_1004 _let_1006 (not _let_1184)))))) (let ((_let_1186 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_767 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_769)) :args _let_765)))) (let ((_let_1187 (MACRO_RESOLUTION_TRUST _let_1023 _let_1024 _let_1020 _let_1186 _let_440 _let_1185 _let_1103 _let_1051 _let_1079 _let_1043 _let_1178 _let_1101 _let_1086 _let_1050 _let_1166 _let_1049 _let_1045 _let_1139 :args ((or tptp.hskp21 tptp.hskp19 tptp.hskp3 _let_342 _let_983 _let_1085 _let_931 _let_929 _let_928) true _let_984 true _let_388 true _let_721 true _let_320 true _let_1184 true _let_425 false _let_997 false _let_937 false _let_1002 false _let_936 true tptp.hskp0 false _let_1080 false _let_998 false _let_1003 false _let_1000 true _let_1005 true _let_299)))) (let ((_let_1188 (REORDERING (CNF_OR_POS :args (_let_1160)) :args ((or _let_74 _let_826 _let_1159 (not _let_1160)))))) (let ((_let_1189 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1069 :args (tptp.a1103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1068)) :args _let_1067)))) (let ((_let_1190 (MACRO_RESOLUTION_TRUST _let_1073 _let_1072 _let_656 _let_1071 _let_648 _let_1189 _let_639 _let_1188 _let_631 (REORDERING (CNF_OR_POS :args (_let_1164)) :args ((or _let_74 _let_826 _let_1161 (not _let_1164)))) _let_624 _let_866 _let_864 _let_738 _let_960 _let_739 _let_709 _let_703 _let_1106 _let_1105 _let_1104 _let_1187 _let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_689 :args (tptp.a1103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_688)) :args _let_687)) _let_805 _let_618 _let_671 _let_1183 _let_1113 _let_1112 _let_1110 _let_1060 _let_740 (MACRO_RESOLUTION_TRUST _let_1108 _let_962 _let_1107 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1182)) :args _let_1182)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1181) _let_818))) (REFL :args ((not _let_1177))) :args _let_511)) _let_709 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1176)) :args ((or _let_1173 _let_1170 _let_1175 _let_1179))) (REORDERING (CNF_OR_POS :args (_let_1174)) :args ((or _let_1173 _let_1170 _let_1171 _let_1180))) (CNF_OR_NEG :args (_let_1177 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1177 0)) (CONG (REFL :args (_let_1177)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1173) _let_1172))) :args _let_511)) :args ((or _let_1172 _let_1177))) :args ((or _let_1177 _let_1180 _let_1179) false _let_1171 true _let_1170 false _let_1172)) _let_703 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_653)) _let_1106 _let_661 _let_810 _let_1105 _let_764 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_741)) :args _let_538)) _let_691 _let_805 _let_1104 _let_685 _let_543 _let_620 _let_1086 _let_1056 _let_569 _let_622 _let_1101 _let_1058 _let_1168 _let_1178 _let_1059 _let_1167 _let_1043 _let_440 _let_1052 _let_1053 _let_1038 _let_1054 _let_1037 _let_906 _let_877 _let_890 _let_871 _let_1049 _let_1050 _let_1166 _let_1045 _let_1057 _let_1139 :args ((or tptp.hskp30 tptp.hskp28 tptp.hskp21 tptp.hskp3 _let_342 _let_323 _let_942 _let_931 _let_929 _let_928) false _let_941 false tptp.hskp14 false _let_818 true tptp.hskp7 false _let_1177 false _let_501 false _let_1176 false _let_498 false _let_610 true tptp.hskp19 false _let_940 false _let_613 false _let_1174 false _let_497 false _let_800 true _let_939 false _let_616 false _let_454 false _let_487 true _let_938 false _let_504 false _let_515 true _let_603 true _let_1080 false _let_975 true _let_523 false tptp.hskp0 true _let_974 true _let_1165 true _let_936 false _let_425 true _let_997 true _let_1002 false _let_320 false _let_1007 false _let_322 false _let_614 true tptp.hskp29 false _let_824 false _let_305 false _let_1000 false _let_998 false _let_1003 true _let_1005 true _let_973 true _let_299)) _let_1169 _let_945 _let_947 _let_946 _let_944 _let_1022 _let_1036 :args ((or tptp.hskp30 tptp.hskp28 tptp.hskp3 _let_342 _let_324 _let_398) false _let_982 true _let_610 true _let_981 true _let_609 true _let_979 false tptp.hskp6 true _let_1160 true tptp.hskp24 true _let_1159 false _let_607 true _let_74 false _let_217 false _let_523 false tptp.hskp5 false _let_713 true tptp.hskp7 false _let_501 false _let_498 false _let_940 true _let_939 true _let_938 true tptp.hskp19 false _let_1164 false _let_800 false _let_487 false _let_601 true _let_614 false _let_914 false _let_918 true _let_920 true _let_970 true _let_714 true _let_301 true tptp.hskp21 true _let_928 true _let_929 false _let_930 true _let_932 true _let_983 true _let_323)))) (let ((_let_1191 (MACRO_RESOLUTION_TRUST _let_532 _let_530 _let_529 _let_528 _let_537 _let_814 _let_843 _let_756 _let_867 _let_760 _let_869 _let_510 _let_629 _let_701 _let_638 _let_472 _let_471 _let_1190 _let_863 _let_884 _let_1074 _let_1138 _let_642 :args ((or tptp.hskp30 tptp.hskp28 _let_342 _let_335) true _let_165 true _let_168 false _let_253 false _let_393 false tptp.hskp21 false _let_394 true tptp.hskp25 false _let_395 false _let_452 true _let_399 false _let_336 true _let_301 false _let_476 true _let_312 false _let_450 false _let_328 false _let_324 true _let_398 true _let_397 true tptp.hskp3 false tptp.hskp23 true _let_333)))) (let ((_let_1192 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_1193 (or _let_461 _let_1143 _let_460))) (let ((_let_1194 (or _let_919 _let_917 _let_921))) (let ((_let_1195 (or _let_919 _let_922 _let_917))) (let ((_let_1196 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_651 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_650)) :args _let_649)))) (let ((_let_1197 (not _let_1194))) (let ((_let_1198 (not _let_1195))) (let ((_let_1199 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_920 1)) (CONG _let_1111 (MACRO_SR_PRED_INTRO :args ((= (not _let_917) _let_916))) :args _let_511)) :args ((or _let_916 _let_920))))) (let ((_let_1200 (REORDERING (CNF_OR_POS :args (_let_1194)) :args ((or _let_919 _let_917 _let_921 _let_1197))))) (let ((_let_1201 (REORDERING (CNF_OR_POS :args (_let_1195)) :args ((or _let_919 _let_917 _let_922 _let_1198))))) (let ((_let_1202 (MACRO_RESOLUTION_TRUST _let_1201 _let_1200 _let_1199 _let_1112 :args ((or _let_920 _let_1198 _let_1197) false _let_921 false _let_916 false _let_918)))) (let ((_let_1203 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_767 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_766)) :args _let_765)))) (let ((_let_1204 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_1205 (or _let_143 _let_140 _let_1127))) (let ((_let_1206 (not _let_454))) (let ((_let_1207 (REORDERING (CNF_OR_POS :args (_let_1142)) :args ((or _let_65 _let_461 _let_1141 (not _let_1142)))))) (let ((_let_1208 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_469 :args (tptp.a1100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_468)) :args _let_467)))) (let ((_let_1209 (MACRO_RESOLUTION_TRUST _let_912 _let_577 _let_576 _let_772 :args ((or _let_68 _let_911) true _let_69 false _let_209 false _let_211)))) (let ((_let_1210 (MACRO_RESOLUTION_TRUST _let_1190 _let_470 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_862 :args (tptp.a1104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_861)) :args _let_860)) _let_475 (REORDERING (CNF_OR_POS :args (_let_1163)) :args ((or _let_81 _let_502 _let_488 (not _let_1163)))) _let_1021 _let_794 _let_810 _let_646 _let_645 _let_644 _let_690 _let_805 _let_639 _let_618 _let_631 _let_671 _let_624 _let_1183 _let_738 _let_1113 _let_1112 _let_739 _let_1110 _let_740 (MACRO_RESOLUTION_TRUST _let_962 _let_1108 _let_878 _let_789 _let_872 _let_870 _let_868 _let_866 _let_865 _let_864 _let_960 _let_1086 _let_1101 _let_1178 _let_1043 _let_1053 _let_1054 _let_906 _let_877 _let_890 _let_871 _let_1045 _let_1139 :args ((or tptp.hskp28 tptp.hskp21 tptp.hskp7 _let_342 _let_942) true _let_941 false _let_818 false tptp.hskp14 true _let_825 true _let_733 true _let_827 true _let_74 true _let_77 false _let_217 false tptp.hskp5 true _let_938 true _let_1080 false tptp.hskp0 true _let_936 true _let_1002 false _let_1007 false _let_614 true tptp.hskp29 false _let_824 false _let_305 true _let_1005 true _let_299)) _let_1209 _let_913 _let_579 (MACRO_RESOLUTION_TRUST _let_1036 _let_1037 _let_1208 _let_1038 _let_1207 _let_439 (REORDERING (CNF_OR_POS :args (_let_1193)) :args ((or _let_461 _let_460 _let_1143 (not _let_1193)))) _let_774 _let_599 _let_598 _let_597 _let_569 _let_672 _let_543 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1205)) :args ((or _let_143 _let_140 _let_1127 (not _let_1205)))) _let_1135 _let_1029 _let_1028 _let_1027 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_958 :args (tptp.a1124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_957)) :args _let_956)) _let_1025 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_938 (= U V)))) _let_438 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_342 _let_1192 _let_1204))) _let_531 _let_678 _let_533 _let_676 _let_541 :args ((or tptp.hskp28 _let_168 _let_342 _let_1192 _let_392 _let_1206 _let_1134) true _let_1127 true _let_140 true _let_143 false _let_243 false _let_1205 false tptp.hskp17 false _let_938 true _let_320 false _let_1204 true _let_415 true tptp.hskp15 false _let_413 false _let_506 false _let_453)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_767 :args (tptp.a1100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_766)) :args _let_765)) _let_770 _let_763 _let_752 _let_744 _let_1056 _let_1058 _let_1168 _let_1059 _let_1167 _let_1043 _let_1052 _let_1053 _let_1054 _let_906 _let_877 _let_890 _let_753 _let_871 (MACRO_RESOLUTION_TRUST _let_1025 _let_1136 _let_441 _let_1137 _let_443 _let_834 _let_542 _let_851 _let_845 _let_884 _let_1203 _let_889 _let_863 _let_1202 _let_867 _let_1110 _let_869 _let_843 _let_1196 _let_1132 _let_702 _let_658 _let_652 _let_1191 :args ((or tptp.hskp30 tptp.hskp28 _let_342 _let_301 _let_394) true tptp.hskp17 true _let_320 false _let_1130 true _let_428 false _let_324 false tptp.hskp1 false _let_815 true _let_455 true tptp.hskp23 true _let_721 true _let_821 false _let_397 true _let_1195 false _let_398 true _let_920 true _let_399 true _let_395 false _let_1194 false _let_1129 false _let_498 true tptp.hskp18 false _let_339 false _let_335)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_394 (= U U)))) _let_537 _let_532 _let_530 _let_529 _let_528 _let_1049 _let_1050 _let_1166 _let_1045 _let_1057 _let_1139 _let_1132 _let_702 _let_658 _let_652 _let_1191 :args ((or tptp.hskp30 tptp.hskp28 _let_164 _let_342) false _let_323 true _let_324 true _let_322 true _let_1142 true _let_320 true _let_1141 true _let_419 true _let_65 false _let_205 false _let_207 false tptp.hskp3 false tptp.hskp2 true _let_515 true _let_454 false _let_1193 false _let_727 false _let_721 false _let_720 false _let_742 false _let_504 false _let_975 true _let_523 true _let_974 true _let_1165 true _let_936 true _let_997 true _let_1002 false _let_1007 false _let_614 true tptp.hskp29 false _let_824 false _let_743 false _let_305 false _let_301 true _let_1192 true _let_394 true _let_393 true _let_165 true _let_168 false _let_253 false _let_1000 false _let_998 false _let_1003 true _let_1005 true _let_973 true _let_299 false _let_1129 false _let_498 true tptp.hskp18 false _let_339 false _let_335)) _let_709 _let_703 _let_702 _let_658 _let_652 _let_1191 _let_1139 :args ((or tptp.hskp30 tptp.hskp28 _let_342) true _let_324 true _let_398 true _let_445 true _let_1163 false tptp.hskp9 true _let_488 true tptp.hskp19 true _let_81 false _let_219 false _let_221 false _let_491 false _let_800 false tptp.hskp6 false _let_487 true tptp.hskp24 false _let_601 false _let_607 true _let_614 false _let_523 false _let_914 false _let_918 false _let_713 true _let_920 true _let_714 true _let_301 true tptp.hskp3 false _let_832 false _let_391 true tptp.hskp21 true tptp.hskp7 false _let_501 false _let_498 true tptp.hskp18 false _let_339 false _let_335 true _let_299)))) (let ((_let_1211 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_958 :args (tptp.a1130 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_957)) :args _let_956)))) (let ((_let_1212 (not _let_1154))) (let ((_let_1213 (not _let_1155))) (let ((_let_1214 (_let_1206))) (let ((_let_1215 (not _let_1148))) (let ((_let_1216 (not _let_1158))) (let ((_let_1217 (REORDERING (ASSUME :args (_let_163)) :args ((or _let_154 _let_162))))) (let ((_let_1218 (REORDERING (ASSUME :args (_let_160)) :args ((or _let_154 _let_159))))) (let ((_let_1219 (REORDERING (ASSUME :args (_let_157)) :args ((or _let_154 _let_156))))) (let ((_let_1220 (REORDERING (CNF_OR_POS :args (_let_1148)) :args ((or _let_158 _let_155 _let_1147 _let_1215))))) (let ((_let_1221 (tptp.c0_1 tptp.a1127))) (let ((_let_1222 (or _let_799 _let_798 _let_1221))) (let ((_let_1223 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V))))) (let ((_let_1224 (not _let_1221))) (let ((_let_1225 (or _let_1224 _let_798 _let_151))) (let ((_let_1226 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_1227 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_1228 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1015 :args (tptp.a1127 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1014)) :args _let_1013)))) (let ((_let_1229 (REORDERING (CNF_OR_POS :args (_let_1222)) :args ((or _let_799 _let_798 _let_1221 (not _let_1222)))))) (let ((_let_1230 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_335 (= U V)))))) (let ((_let_1231 (REORDERING (CNF_OR_POS :args (_let_1225)) :args ((or _let_151 _let_798 _let_1224 (not _let_1225)))))) (let ((_let_1232 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 _let_342 _let_1226 _let_1223))))) (let ((_let_1233 (_let_1227))) (let ((_let_1234 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1233) :args (tptp.a1127 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_1233)))) (let ((_let_1235 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_1227 (= U U)))))) (let ((_let_1236 (MACRO_RESOLUTION_TRUST _let_1235 _let_1234 _let_1232 _let_1231 _let_1230 _let_1229 _let_952 _let_809 _let_808 _let_807 _let_954 _let_1187 _let_955 _let_945 _let_947 _let_946 _let_944 _let_1022 _let_959 _let_1228 _let_1178 _let_1101 _let_1086 :args ((or tptp.hskp21 tptp.hskp20 tptp.hskp3 _let_342 _let_324 _let_1085) true _let_1227 false _let_1226 true _let_1225 true _let_1223 false _let_1221 true _let_335 true _let_151 false _let_249 false _let_251 true _let_950 false tptp.hskp19 false _let_948 true _let_928 true _let_929 false _let_930 true _let_932 true _let_983 false _let_951 false _let_1222 false _let_936 true tptp.hskp0 false _let_1080)))) (let ((_let_1237 (or _let_385 _let_383 _let_925))) (let ((_let_1238 (or _let_1157 _let_161 _let_155))) (let ((_let_1239 (forall ((U $$unsorted)) (or (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_1240 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (tptp.a1136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_562)) :args _let_561)))) (let ((_let_1241 (REORDERING (CNF_OR_POS :args (_let_1145)) :args ((or _let_314 _let_313 _let_315 (not _let_1145)))))) (let ((_let_1242 (REORDERING (CNF_OR_POS :args (_let_317)) :args ((or _let_314 _let_313 _let_316 (not _let_317)))))) (let ((_let_1243 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (tptp.a1136 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_625)))) (let ((_let_1244 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_437 :args (tptp.a1136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_436)) :args _let_435)))) (let ((_let_1245 (REORDERING (CNF_OR_POS :args (_let_319)) :args ((or _let_318 _let_314 _let_315 (not _let_319)))))) (let ((_let_1246 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_536 :args (tptp.a1130 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_535)) :args _let_534)))) (let ((_let_1247 (not _let_1238))) (let ((_let_1248 (REORDERING (CNF_OR_POS :args (_let_1238)) :args ((or _let_161 _let_155 _let_1157 _let_1247))))) (let ((_let_1249 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_1250 (or _let_161 _let_1147 _let_155))) (let ((_let_1251 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_1252 (not _let_1250))) (let ((_let_1253 (MACRO_RESOLUTION_TRUST _let_1231 _let_1229 _let_1234 _let_1228 _let_1235 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_936 (= U V)))) _let_1232 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 _let_342 _let_1249 _let_1251))) (MACRO_RESOLUTION_TRUST _let_1248 (REORDERING (CNF_OR_POS :args (_let_1250)) :args ((or _let_161 _let_155 _let_1147 _let_1252))) _let_1219 _let_1217 :args ((or _let_154 _let_1252 _let_1247) false _let_1147 true _let_155 true _let_161)) _let_1230 _let_652 _let_658 _let_754 _let_756 _let_760 _let_514 _let_553 _let_547 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_546 :args (tptp.a1130 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_545)) :args _let_544)) _let_1097 _let_1096 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_457 (= U U)))) _let_1095 _let_595 _let_564 _let_600 _let_622 _let_621 _let_620 _let_619 _let_805 _let_810 _let_809 _let_808 _let_807 _let_623 :args ((or tptp.hskp21 _let_150 tptp.hskp3 _let_342 _let_301 _let_1247) false _let_1221 false _let_1225 false _let_1222 false _let_1227 false _let_936 false _let_1226 false _let_1251 true tptp.hskp20 true _let_1223 true _let_335 true _let_339 false tptp.hskp18 true tptp.hskp25 false _let_452 false _let_336 false _let_481 false _let_517 false _let_1250 false _let_455 false _let_1090 true _let_1249 true _let_1089 true _let_457 false _let_521 true _let_462 false _let_523 false tptp.hskp2 false _let_603 true _let_602 true _let_487 true _let_800 true _let_151 false _let_249 false _let_251 true _let_604)))) (let ((_let_1254 (not _let_227))) (let ((_let_1255 (tptp.c2_1 tptp.a1107))) (let ((_let_1256 (not _let_1255))) (let ((_let_1257 (or _let_1256 _let_1254 _let_89))) (let ((_let_1258 (or _let_1254 _let_89 _let_1255))) (let ((_let_1259 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_1260 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_1261 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_1262 (not _let_1261))) (let ((_let_1263 (or _let_1262 _let_1260 _let_1259))) (let ((_let_1264 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_1265 (or _let_1262 _let_1264 _let_1259))) (let ((_let_1266 (not _let_1264))) (let ((_let_1267 (or _let_1266 _let_1260 _let_1259))) (let ((_let_1268 (not _let_1257))) (let ((_let_1269 (not _let_1258))) (let ((_let_1270 (not _let_733))) (let ((_let_1271 (_let_1270))) (let ((_let_1272 (MACRO_RESOLUTION_TRUST _let_510 _let_699 _let_1009 _let_700 _let_1010 _let_703 (REORDERING (CNF_OR_POS :args (_let_1237)) :args ((or _let_383 _let_925 _let_385 (not _let_1237)))) _let_709 _let_992 _let_990 _let_739 _let_988 _let_738 (MACRO_RESOLUTION_TRUST _let_1066 _let_1065 _let_1064 _let_1063 _let_1062 _let_1055 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_538)) (REORDERING (CNF_OR_POS :args (_let_1267)) :args ((or _let_1260 _let_1259 _let_1266 (not _let_1267)))) (REORDERING (CNF_OR_POS :args (_let_1265)) :args ((or _let_1262 _let_1259 _let_1264 (not _let_1265)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1069 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1068)) :args _let_1067)) _let_1070 _let_1071 _let_1072 _let_1073 (CNF_OR_NEG :args (_let_1263 2)) (CNF_OR_NEG :args (_let_1263 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1263 0)) (CONG (REFL :args (_let_1263)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1262) _let_1261))) :args _let_511)) :args ((or _let_1261 _let_1263))) _let_656 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1271)) :args _let_1271)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1270) _let_733))) (REFL :args ((not _let_1263))) :args _let_511)) _let_648 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_787 :args (tptp.a1107 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_786)) :args _let_785)) _let_639 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1257)) :args ((or _let_89 _let_1254 _let_1256 _let_1268))) (REORDERING (CNF_OR_POS :args (_let_1258)) :args ((or _let_89 _let_1254 _let_1255 _let_1269))) :args ((or _let_89 _let_1254 _let_1269 _let_1268) false _let_1255)) _let_631 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (tptp.a1107 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_562)) :args _let_561)) _let_624 _let_1061 _let_1139 :args ((or tptp.hskp21 _let_89 _let_342 _let_970 _let_1254 _let_986) true _let_100 true _let_103 false _let_231 false tptp.hskp10 true _let_969 true _let_454 true _let_1267 false _let_1264 false _let_1265 false _let_977 false _let_979 false _let_981 true _let_982 true _let_1259 true _let_1260 false _let_1261 true _let_610 true _let_1263 true _let_609 true _let_733 false tptp.hskp6 true _let_1258 true tptp.hskp24 false _let_1257 false _let_607 true _let_972 true _let_299)) (REORDERING (ASSUME :args (_let_91)) :args ((or _let_88 _let_90))) (ASSUME :args (_let_228)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp8 _let_342 _let_1239))) _let_1253 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_938 (= U U)))) (MACRO_RESOLUTION_TRUST _let_1248 _let_1220 _let_1219 _let_1218 _let_1217 _let_1236 _let_1211 :args ((or tptp.hskp21 tptp.hskp3 _let_342 _let_324 _let_1085 _let_1247) false _let_1147 true _let_155 true _let_158 true _let_161 false tptp.hskp20 false _let_1148)) _let_1246 _let_843 _let_867 _let_1060 _let_695 _let_869 _let_740 _let_1243 _let_1242 _let_1245 _let_1244 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_437 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_436)) :args _let_435)) _let_863 _let_1020 _let_884 _let_1023 _let_851 _let_1022 _let_834 (MACRO_RESOLUTION_TRUST _let_550 _let_1097 _let_560 _let_1096 _let_568 _let_1095 _let_595 _let_600 _let_621 _let_623 _let_1243 _let_1242 _let_1241 _let_1240 _let_622 _let_620 _let_619 _let_805 _let_810 _let_1021 _let_475 _let_473 _let_470 _let_1139 :args ((or tptp.hskp21 tptp.hskp3 _let_342 _let_314 _let_313 _let_466) false _let_455 true _let_456 false _let_1090 false tptp.hskp13 true _let_1089 true _let_457 true _let_462 false tptp.hskp2 true _let_604 true _let_301 true _let_317 false _let_315 false _let_1145 false _let_523 false _let_603 true _let_602 true _let_487 true _let_800 false tptp.hskp19 true tptp.hskp9 false _let_331 false _let_445 true _let_299)) _let_1024 :args ((or tptp.hskp21 tptp.hskp3 _let_342 _let_721 _let_318 _let_314 _let_313) false _let_476 true _let_336 true _let_694 true _let_927 true _let_498 true _let_384 true _let_501 true _let_925 false _let_382 false tptp.hskp7 true _let_926 true _let_713 true _let_523 true _let_89 false _let_227 false tptp.hskp8 true tptp.hskp19 true _let_1239 true _let_938 false _let_1238 false _let_394 false _let_395 true _let_970 true _let_693 true _let_399 true _let_714 true _let_301 true _let_317 false _let_315 false _let_319 false _let_1237 true _let_398 false _let_320 true _let_397 false _let_388 false tptp.hskp23 true _let_983 true _let_815 true _let_324 true _let_984)))) (let ((_let_1273 (or _let_931 _let_929 _let_948))) (let ((_let_1274 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_332 (= U V)))))) (let ((_let_1275 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_1276 (MACRO_RESOLUTION_TRUST _let_756 _let_760 _let_754 _let_1275 _let_1243 _let_1274 _let_1242 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1034 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1033)) :args _let_1032)) _let_1245 (REORDERING (CNF_OR_POS :args (_let_1273)) :args ((or _let_931 _let_929 _let_948 (not _let_1273)))) _let_1244 _let_954 _let_1020 _let_947 _let_946 _let_1023 _let_944 _let_1022 _let_1140 _let_1139 :args ((or tptp.hskp18 _let_342 _let_324 _let_984 _let_318 _let_314 _let_313 _let_953) false _let_452 false tptp.hskp25 false _let_336 true _let_301 true _let_334 true _let_317 true _let_332 false _let_315 true _let_1273 false _let_319 true _let_948 false _let_320 true _let_929 false _let_930 false _let_388 true _let_932 true _let_983 true _let_300 true _let_299)))) (let ((_let_1277 (REORDERING (CNF_OR_POS :args (_let_1146)) :args ((or _let_449 _let_446 _let_484 (not _let_1146)))))) (let ((_let_1278 (or _let_931 _let_948 _let_928))) (let ((_let_1279 (REORDERING (CNF_OR_POS :args (_let_1278)) :args ((or _let_931 _let_928 _let_948 (not _let_1278)))))) (let ((_let_1280 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_862 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_861)) :args _let_860)))) (let ((_let_1281 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_684 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_683)) :args _let_682)))) (let ((_let_1282 (MACRO_RESOLUTION_TRUST _let_588 _let_1277 _let_587 _let_586 _let_592 _let_595 _let_600 _let_621 _let_619 _let_805 _let_810 _let_1021 _let_405 _let_1123 _let_751 _let_750 _let_749 _let_748 _let_763 _let_849 _let_848 _let_1025 _let_1136 _let_1281 _let_744 _let_681 _let_678 _let_676 _let_1125 _let_1124 _let_475 _let_1137 _let_472 _let_470 (MACRO_RESOLUTION_TRUST _let_532 _let_530 _let_529 _let_528 _let_579 _let_412 _let_404 _let_1140 _let_1275 _let_1274 _let_1035 _let_537 _let_1031 _let_843 _let_1029 _let_1028 _let_1027 _let_867 _let_1025 _let_1280 _let_848 _let_1279 _let_849 _let_954 _let_1024 _let_945 _let_947 _let_946 _let_1023 _let_944 _let_1022 _let_1020 :args ((or _let_342 _let_324 _let_320 _let_391 _let_336 _let_399 _let_953) true _let_165 true _let_168 false _let_253 false tptp.hskp21 true tptp.hskp30 false _let_343 false _let_299 false _let_300 true _let_334 true _let_332 false _let_393 true _let_326 false _let_394 true _let_140 true _let_143 false _let_243 false _let_395 false tptp.hskp17 true _let_398 true tptp.hskp28 true _let_1278 false _let_846 true _let_948 false _let_721 true _let_928 true _let_929 false _let_930 false _let_984 true _let_932 true _let_983 true _let_388)) _let_1118 :args ((or tptp.hskp18 _let_342 _let_320 _let_391 _let_604 _let_336 _let_399 _let_953 _let_1134) true _let_447 true _let_446 false _let_448 true _let_486 true _let_457 true _let_462 false tptp.hskp2 true _let_602 true _let_487 true _let_800 false tptp.hskp19 true _let_299 true _let_369 false _let_363 false _let_365 false _let_367 false _let_718 true _let_720 true _let_721 true _let_846 false tptp.hskp28 true tptp.hskp17 false _let_1146 false _let_742 false _let_504 true tptp.hskp15 false _let_506 false _let_454 false _let_1121 true tptp.hskp9 false _let_1130 false _let_450 false _let_445 false _let_324 true _let_387)))) (let ((_let_1283 (tptp.c1_1 tptp.a1113))) (let ((_let_1284 (not _let_233))) (let ((_let_1285 (or _let_1284 _let_1283 _let_107))) (let ((_let_1286 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_1287 (not _let_1283))) (let ((_let_1288 (or _let_1284 _let_1287 _let_107))) (let ((_let_1289 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_1290 (not _let_1285))) (let ((_let_1291 (not _let_1288))) (let ((_let_1292 (MACRO_RESOLUTION_TRUST _let_676 _let_1055 _let_678 (MACRO_RESOLUTION_TRUST _let_647 _let_646 _let_645 _let_644 _let_639 _let_631 _let_624 _let_622 _let_620 _let_836 _let_841 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_818 (= U U)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 _let_342 _let_1289 _let_1286))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1288)) :args ((or _let_107 _let_1284 _let_1287 _let_1291))) (REORDERING (CNF_OR_POS :args (_let_1285)) :args ((or _let_107 _let_1284 _let_1283 _let_1290))) (REORDERING (ASSUME :args (_let_109)) :args ((or _let_106 _let_108))) (ASSUME :args (_let_234)) :args ((or _let_106 _let_1291 _let_1290) false _let_1283 true _let_107 false _let_233)) _let_656 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (tptp.a1113 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)) _let_1073 _let_1072 _let_1071 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_979 (= U V)))) _let_1070 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1034 :args (tptp.a1113 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1033)) :args _let_1032)) _let_1066 _let_805 _let_1274 _let_1065 _let_1064 _let_1063 _let_810 _let_1275 _let_1062 _let_1021 _let_1140 _let_1061 :args ((or tptp.hskp9 _let_342 _let_299 _let_969 _let_336 _let_970 _let_465) true _let_81 false _let_219 false _let_221 false tptp.hskp6 true tptp.hskp24 false _let_607 false _let_523 false _let_603 true tptp.hskp21 false _let_816 false _let_818 false _let_1289 true tptp.hskp11 false _let_609 false _let_1288 false _let_610 false _let_982 true _let_981 true _let_1286 true _let_979 false _let_1285 true _let_977 true _let_487 false _let_332 true _let_100 true _let_103 false _let_231 true _let_800 false _let_334 false tptp.hskp10 false tptp.hskp19 true _let_300 true _let_972)) _let_681 _let_438 _let_1281 _let_1282 _let_1277 _let_1132 _let_588 _let_700 _let_587 _let_586 _let_699 _let_592 _let_510 _let_595 _let_760 _let_600 _let_756 _let_621 _let_754 _let_1060 _let_695 _let_869 _let_623 _let_1243 _let_1242 _let_1241 _let_1240 _let_622 _let_620 _let_619 _let_805 _let_810 _let_1021 _let_475 _let_472 _let_470 _let_1276 _let_658 _let_913 _let_952 _let_652 _let_1209 _let_1074 _let_1272 _let_411 _let_410 _let_409 (MACRO_RESOLUTION_TRUST _let_686 _let_600 _let_805 _let_595 _let_810 _let_592 _let_1021 _let_589 _let_475 _let_472 _let_471 _let_470 _let_1236 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1158)) :args ((or _let_161 _let_158 _let_1157 _let_1216))) _let_1220 _let_1219 _let_1218 _let_1217 :args ((or _let_154 _let_1216 _let_1215) false _let_1147 true _let_155 true _let_158 true _let_161)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (tptp.a1130 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_538)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1214)) :args _let_1214)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1206) _let_454))) (REFL :args ((not _let_1156))) :args _let_511)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1154)) :args ((or _let_1153 _let_1149 _let_1151 _let_1212))) (REORDERING (CNF_OR_POS :args (_let_1155)) :args ((or _let_1153 _let_1149 _let_1150 _let_1213))) (CNF_OR_NEG :args (_let_1156 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1156 0)) (CONG (REFL :args (_let_1156)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1153) _let_1152))) :args _let_511)) :args ((or _let_1152 _let_1156))) :args ((or _let_1156 _let_1213 _let_1212) false _let_1150 true _let_1149 false _let_1152)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_536 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_535)) :args _let_534)) _let_843 _let_867 _let_863 _let_869 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1015 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1014)) :args _let_1013)) _let_884 _let_628 _let_1178 _let_885 (REORDERING (CNF_OR_NEG :args (_let_459 2)) :args ((or _let_345 _let_459))) _let_669 _let_1101 _let_1209 _let_850 _let_1211 _let_1086 _let_583 _let_913 _let_852 (MACRO_RESOLUTION_TRUST _let_1066 _let_1065 _let_1064 _let_1063 _let_1062 _let_1055 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_540 :args (tptp.a1103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_538)) (REORDERING (CNF_OR_POS :args (_let_1162)) :args ((or _let_77 _let_74 _let_1161 (not _let_1162)))) _let_1188 _let_1189 _let_1070 _let_1071 _let_1072 _let_1073 _let_656 _let_648 _let_639 _let_631 _let_624 _let_866 _let_865 _let_864 _let_738 _let_960 _let_739 _let_709 _let_703 _let_1106 _let_1105 _let_1104 _let_740 _let_1060 _let_628 _let_669 _let_666 _let_850 _let_667 _let_795 _let_1210 _let_852 _let_579 _let_1061 _let_1139 :args ((or tptp.hskp30 tptp.hskp21 _let_342 _let_938) true _let_100 true _let_103 false _let_231 false tptp.hskp10 true _let_969 true _let_454 true _let_1162 false _let_1159 false _let_1160 false _let_977 false _let_979 false _let_981 true _let_982 true _let_610 true _let_609 false tptp.hskp6 true tptp.hskp24 false _let_607 true _let_74 true _let_77 false _let_217 false _let_523 false tptp.hskp5 false _let_713 true tptp.hskp7 false _let_501 false _let_498 false _let_940 true _let_939 true _let_714 true _let_970 true _let_301 true _let_608 false _let_268 false _let_344 false _let_263 false _let_266 false tptp.hskp28 false _let_429 false _let_391 true _let_972 true _let_299)) _let_579 _let_1139 :args ((or tptp.hskp30 tptp.hskp21 _let_342 _let_458 _let_347 _let_346) true tptp.hskp2 true _let_487 false _let_462 true _let_800 false _let_457 false tptp.hskp19 false _let_486 true tptp.hskp9 false _let_450 false _let_328 false _let_445 false _let_324 true tptp.hskp20 false _let_1158 false _let_454 false _let_1156 false _let_1155 false _let_394 false _let_395 true _let_398 true _let_399 false _let_1154 true _let_397 true _let_301 false _let_936 false tptp.hskp23 false _let_459 true _let_608 true tptp.hskp0 true tptp.hskp3 false _let_344 false _let_1148 false _let_1080 false _let_485 false _let_832 false _let_429 false _let_938 false _let_391 true _let_299)) _let_1024 _let_1139 :args ((or tptp.hskp21 _let_342 _let_721 _let_458 _let_347 _let_346) false _let_454 true _let_506 false _let_969 false tptp.hskp15 false _let_415 true _let_504 false _let_320 true _let_1146 false _let_1129 false _let_447 false _let_498 true _let_446 false _let_448 false _let_694 true _let_486 true _let_476 true _let_457 true _let_336 true _let_462 true _let_452 false tptp.hskp2 false tptp.hskp25 true _let_970 true _let_693 true _let_399 true _let_604 true _let_301 true _let_317 false _let_315 false _let_1145 false _let_523 false _let_603 true _let_602 true _let_487 true _let_800 false tptp.hskp19 true tptp.hskp9 false _let_450 false _let_445 false _let_324 true tptp.hskp18 true _let_391 false _let_950 false _let_339 true _let_832 false _let_335 false tptp.hskp3 false _let_277 false _let_280 false _let_282 false tptp.hskp30 true _let_984 true _let_299)))) (let ((_let_1293 (MACRO_RESOLUTION_TRUST _let_879 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 2)) (CONG (REFL :args _let_796) (MACRO_SR_PRED_INTRO :args ((= (not _let_345) _let_344))) :args _let_511)) :args ((or _let_344 _let_348))) _let_844 _let_669 _let_842 _let_628 _let_837 _let_841 _let_869 _let_531 _let_836 _let_867 _let_438 _let_863 _let_1020 _let_884 _let_1023 _let_851 _let_1022 _let_834 _let_1024 _let_843 _let_537 _let_532 _let_528 _let_529 _let_530 _let_1292 _let_795 _let_667 _let_666 _let_849 _let_848 :args ((or _let_264 _let_342 _let_324) false _let_348 true _let_819 true _let_344 true _let_710 false _let_608 true _let_817 true _let_818 false _let_301 true _let_413 true _let_816 false _let_399 false _let_415 true _let_398 false _let_320 true _let_397 false _let_388 false tptp.hskp23 true _let_983 true _let_815 true _let_984 true _let_395 true _let_394 true _let_393 false _let_253 true _let_168 true _let_165 false tptp.hskp21 false _let_266 false _let_263 false _let_268 true _let_721 true _let_846)))) (let ((_let_1294 (MACRO_RESOLUTION_TRUST _let_1118 _let_441 _let_1124 _let_443 _let_1125 _let_542 _let_676 _let_550 _let_678 _let_560 _let_681 _let_568 _let_744 _let_594 _let_752 _let_670 _let_753 _let_628 (MACRO_RESOLUTION_TRUST _let_441 _let_443 _let_1282 _let_542 _let_1132 _let_550 _let_700 _let_560 _let_699 _let_568 _let_510 _let_595 _let_760 _let_600 _let_756 _let_621 _let_754 _let_695 _let_869 _let_623 _let_619 _let_805 _let_810 _let_1021 _let_1139 :args ((or tptp.hskp18 tptp.hskp9 _let_342 _let_391 _let_301 _let_394 _let_507 _let_953) true _let_428 false _let_320 false tptp.hskp1 false _let_1129 true _let_455 false _let_498 true _let_456 false _let_694 false tptp.hskp13 true _let_476 true _let_457 true _let_336 true _let_462 true _let_452 false tptp.hskp2 false tptp.hskp25 true _let_693 true _let_399 true _let_604 true _let_602 true _let_487 true _let_800 false tptp.hskp19 true _let_299)) _let_475 _let_473 _let_470 _let_763 _let_537 _let_532 _let_528 _let_529 _let_530 _let_1292 _let_795 _let_667 _let_666 _let_849 _let_848 :args ((or _let_264 tptp.hskp18 _let_342 _let_391 _let_466 _let_953) true _let_320 false _let_387 true _let_428 true _let_1121 false tptp.hskp1 true _let_454 true _let_455 true _let_506 true _let_456 false tptp.hskp15 false tptp.hskp13 true _let_504 true _let_457 true _let_742 true _let_459 false _let_743 false _let_608 false _let_301 true tptp.hskp9 false _let_331 false _let_445 true _let_720 true _let_394 true _let_393 false _let_253 true _let_168 true _let_165 false tptp.hskp21 false _let_266 false _let_263 false _let_268 true _let_721 true _let_846)))) (let ((_let_1295 (MACRO_RESOLUTION_TRUST _let_1294 _let_658 _let_952 _let_652 _let_1074 _let_1096 _let_1097 _let_550 _let_560 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (tptp.a1100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)) _let_568 _let_1095 (REORDERING (CNF_OR_POS :args (_let_1144)) :args ((or _let_65 _let_460 _let_1143 (not _let_1144)))) _let_595 _let_1207 _let_600 _let_599 _let_598 _let_597 _let_621 _let_623 (MACRO_RESOLUTION_TRUST _let_658 _let_1294 _let_952 _let_652 _let_852 _let_642 _let_850 _let_638 _let_669 _let_629 _let_628 _let_666 _let_471 _let_667 _let_795 _let_1293 :args ((or _let_264 _let_342 _let_942) false tptp.hskp18 false _let_950 false _let_339 true _let_391 false _let_335 true _let_429 false _let_333 true _let_344 false _let_312 false _let_608 false _let_268 false _let_328 false _let_263 false _let_266 false _let_324)) _let_619 _let_805 _let_810 _let_1021 _let_475 _let_1208 _let_473 _let_470 _let_1293 _let_1139 :args ((or _let_264 _let_342) true tptp.hskp18 false _let_950 false _let_339 false _let_335 false tptp.hskp3 true _let_1090 true _let_455 true _let_456 true _let_391 false tptp.hskp13 true _let_1089 true _let_1144 true _let_457 false _let_1141 true _let_462 true _let_65 false _let_205 false _let_207 false tptp.hskp2 true _let_604 true _let_301 true _let_602 true _let_487 true _let_800 false tptp.hskp19 true tptp.hskp9 false _let_1142 false _let_331 false _let_445 false _let_324 true _let_299)))) (let ((_let_1296 (MACRO_RESOLUTION_TRUST _let_1097 _let_1096 _let_550 _let_1074 _let_560 _let_1196 _let_568 _let_1095 _let_1200 _let_595 _let_1115 _let_600 _let_1114 _let_621 _let_671 _let_619 _let_618 _let_805 _let_810 _let_1021 _let_475 _let_473 _let_470 _let_1139 _let_1295 :args ((or _let_342 _let_604 _let_466 _let_919 _let_917 _let_915) false _let_1090 true _let_455 true tptp.hskp3 true _let_456 true _let_335 false tptp.hskp13 true _let_1089 true _let_1194 true _let_457 true _let_921 true _let_462 false _let_923 false tptp.hskp2 false _let_614 true _let_602 true _let_601 true _let_487 true _let_800 false tptp.hskp19 true tptp.hskp9 false _let_331 false _let_445 true _let_299 true tptp.hskp28)))) (let ((_let_1297 (or _let_917 _let_915 _let_921))) (let ((_let_1298 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (let ((_let_1299 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_1300 (or _let_316 _let_318 _let_314))) (let ((_let_1301 (MACRO_RESOLUTION_TRUST _let_559 (REORDERING (CNF_OR_POS :args (_let_341)) :args ((or _let_121 _let_340 _let_329 (not _let_341)))) _let_558 _let_557 (ASSUME :args (_let_238)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 tptp.hskp13 _let_342 _let_321))) _let_658 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_759 :args (tptp.a1115 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_758)) :args _let_757)) _let_652 _let_1275 _let_642 _let_1274 _let_638 _let_1035 _let_473 _let_471 _let_1031 _let_1036 _let_1029 _let_1028 _let_1027 _let_1037 _let_1025 _let_1038 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_320 (= U U)))) _let_1244 _let_1245 _let_1242 _let_877 _let_1243 _let_629 _let_871 (MACRO_RESOLUTION_TRUST _let_1024 _let_1203 _let_1276 _let_1202 _let_658 _let_1196 _let_952 _let_652 _let_1074 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 _let_342 _let_1298 _let_1299))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_936 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_802 (= U U)))) _let_1043 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_813 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_812)) :args _let_811)) _let_1051 (REORDERING (CNF_OR_POS :args (_let_1297)) :args ((or _let_917 _let_915 _let_921 (not _let_1297)))) _let_1185 _let_1201 _let_1253 _let_1186 _let_1203 _let_1246 _let_1272 _let_843 _let_1169 _let_867 (MACRO_RESOLUTION_TRUST _let_678 _let_676 _let_1018 _let_543 _let_1017 _let_569 _let_1043 _let_1240 _let_1051 _let_1241 _let_1185 (REORDERING (CNF_OR_POS :args (_let_1300)) :args ((or _let_318 _let_314 _let_316 (not _let_1300)))) _let_1019 _let_1186 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_767 :args (tptp.a1136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_766)) :args _let_765)) _let_1094 _let_851 _let_1093 _let_884 _let_1279 _let_863 _let_1280 _let_409 _let_1166 _let_410 _let_411 _let_1210 _let_1295 _let_1050 _let_1049 _let_1045 _let_1139 :args ((or tptp.hskp3 _let_342 _let_815 _let_883 _let_931 _let_928) false _let_506 false tptp.hskp15 false _let_454 true _let_996 false _let_515 true _let_936 true _let_523 true _let_1002 true _let_1145 true _let_997 true _let_315 true _let_994 false _let_1184 false _let_1300 true _let_457 false _let_721 true _let_1088 true tptp.hskp23 false _let_948 false _let_397 false _let_1278 false _let_282 false _let_1003 false _let_280 false _let_277 false tptp.hskp30 true tptp.hskp28 false _let_998 false _let_1000 true _let_1005 true _let_299)) _let_946 _let_945 _let_944 _let_834 _let_869 _let_1036 _let_1296 _let_623 _let_409 _let_410 _let_411 _let_1210 _let_1295 _let_1112 _let_1166 _let_1199 _let_1113 _let_1110 _let_1050 _let_1049 _let_1045 _let_1139 :args ((or tptp.hskp3 _let_342 _let_301) true _let_1299 true _let_1298 true _let_936 true _let_802 true _let_1002 true _let_1297 true _let_997 true _let_921 true tptp.hskp19 false _let_1184 false _let_1195 false _let_1238 false _let_721 false _let_394 true tptp.hskp21 false _let_395 true _let_398 false _let_930 true _let_928 true _let_932 true _let_815 true _let_399 true _let_323 true _let_324 true _let_604 false _let_282 false _let_280 false _let_277 false tptp.hskp30 true tptp.hskp28 false _let_918 false _let_1003 false _let_916 false _let_914 true _let_920 false _let_998 false _let_1000 true _let_1005 true _let_299)) _let_1296 _let_1113 _let_1199 _let_1112 _let_1110 _let_623 _let_409 _let_411 _let_410 _let_1210 _let_1295 :args ((or _let_342 _let_301) true _let_721 false _let_984 true _let_1195 true tptp.hskp18 false _let_1194 false _let_950 false _let_339 false _let_335 false tptp.hskp3 true _let_324 false _let_914 false _let_916 false _let_918 true _let_920 true _let_604 false _let_282 false _let_277 false _let_280 false tptp.hskp30 true tptp.hskp28)) _let_411 _let_410 _let_409 _let_1210 _let_1295 _let_1140 _let_1139 :args (_let_342 false _let_329 true _let_118 true _let_121 false _let_237 false tptp.hskp13 true tptp.hskp18 false _let_341 false _let_339 false _let_336 false _let_335 true _let_334 false _let_333 true _let_332 false _let_331 false _let_328 true _let_326 false _let_324 true _let_140 true _let_143 false _let_243 false _let_323 false tptp.hskp17 true _let_322 true _let_321 true _let_320 true _let_319 true _let_315 true tptp.hskp29 false _let_317 false _let_312 false _let_305 false _let_301 false _let_277 false _let_280 false _let_282 false tptp.hskp30 true tptp.hskp28 true _let_300 true _let_299)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_885 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_296)) :args ((or tptp.ndr1_0 _let_50))) _let_1301 :args (_let_50 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_298)) :args ((or tptp.ndr1_0 _let_278))) _let_1301 :args (_let_278 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_297)) :args ((or tptp.ndr1_0 _let_172))) _let_1301 :args (_let_172 true tptp.ndr1_0)) :args (false true tptp.hskp0 true tptp.hskp30 true tptp.hskp23)) :args ((or tptp.hskp23 tptp.hskp14) (or _let_285 tptp.ndr1_0) _let_298 (or _let_271 tptp.ndr1_0) (or _let_264 tptp.ndr1_0) (or _let_200 tptp.ndr1_0) (or _let_190 tptp.ndr1_0) (or _let_183 tptp.ndr1_0) (or _let_179 tptp.ndr1_0) _let_297 (or _let_171 tptp.ndr1_0) (or _let_164 tptp.ndr1_0) (or _let_154 tptp.ndr1_0) (or _let_150 tptp.ndr1_0) (or _let_146 tptp.ndr1_0) (or _let_139 tptp.ndr1_0) (or _let_138 tptp.ndr1_0) (or _let_131 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_117 tptp.ndr1_0) (or _let_110 tptp.ndr1_0) (or _let_106 tptp.ndr1_0) (or _let_99 tptp.ndr1_0) (or _let_92 tptp.ndr1_0) (or _let_88 tptp.ndr1_0) (or _let_84 tptp.ndr1_0) (or _let_80 tptp.ndr1_0) (or _let_73 tptp.ndr1_0) (or _let_72 tptp.ndr1_0) (or _let_68 tptp.ndr1_0) (or _let_64 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) _let_296 _let_295 _let_294 (or tptp.hskp18 tptp.hskp16 tptp.hskp26) _let_293 (or tptp.hskp7 tptp.hskp23 tptp.hskp13) (or tptp.hskp11 tptp.hskp17 tptp.hskp25) _let_292 (or tptp.hskp16 tptp.hskp13 tptp.hskp27) _let_291 _let_290 _let_288 _let_286 _let_283 _let_281 _let_279 _let_276 _let_274 _let_272 _let_269 _let_267 _let_265 _let_262 _let_260 _let_258 _let_256 (or _let_171 (tptp.c2_1 tptp.a1145)) (or _let_171 (tptp.c3_1 tptp.a1145)) _let_254 _let_252 _let_250 _let_248 _let_246 _let_244 (or _let_138 (tptp.c1_1 tptp.a1121)) (or _let_138 (tptp.c3_1 tptp.a1121)) _let_242 _let_240 _let_238 _let_236 _let_234 (or _let_106 (tptp.c3_1 tptp.a1113)) _let_232 _let_230 _let_228 _let_226 _let_224 _let_222 _let_220 _let_218 _let_216 _let_214 _let_212 _let_210 _let_208 _let_206 _let_204 _let_202 (or (not (tptp.c0_1 tptp.a1200)) _let_200) (or (not (tptp.c1_1 tptp.a1200)) _let_200) (or (not (tptp.c3_1 tptp.a1200)) _let_200) _let_199 _let_196 _let_193 _let_189 _let_186 _let_182 _let_178 _let_175 (or (not (tptp.c1_1 tptp.a1145)) _let_171) _let_170 _let_167 _let_163 _let_160 _let_157 _let_153 _let_149 _let_145 _let_142 (or (not (tptp.c0_1 tptp.a1121)) _let_138) _let_137 _let_134 _let_130 _let_127 _let_123 _let_120 _let_116 _let_113 _let_109 _let_105 _let_102 _let_98 _let_95 _let_91 (or (not (tptp.c1_1 tptp.a1107)) _let_88) _let_87 _let_83 _let_79 _let_76 (or (not (tptp.c3_1 tptp.a1102)) _let_72) _let_71 _let_67 _let_63 _let_59 _let_56 _let_53 _let_49 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp8)) _let_48 _let_47 _let_46 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp11 tptp.hskp12)) _let_45 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp2 tptp.hskp16)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp17 tptp.hskp19)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp22 tptp.hskp0)) _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp19 tptp.hskp14)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp19 tptp.hskp8)) _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)) _let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp4)) _let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp13)) _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp16)) _let_18 _let_17 _let_16 _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp7)) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.62/0.80  )
% 0.62/0.80  % SZS output end Proof for SYN476-1
% 0.62/0.81  % cvc5---1.0.5 exiting
% 0.62/0.81  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------