TSTP Solution File: SYN488+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN488+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 02:03:37 EDT 2023

% Result   : Theorem 0.51s 0.79s
% Output   : Proof 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN488+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat Aug 26 17:48:03 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.51/0.79  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.T6TYQsB2F3/cvc5---1.0.5_17714.p...
% 0.51/0.79  ------- get file name : TPTP file name is SYN488+1
% 0.51/0.79  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17714.smt2...
% 0.51/0.79  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.51/0.79  % SZS status Theorem for SYN488+1
% 0.51/0.79  % SZS output start Proof for SYN488+1
% 0.51/0.79  (
% 0.51/0.79  (let ((_let_1 (tptp.c3_1 tptp.a2450))) (let ((_let_2 (tptp.c1_1 tptp.a2450))) (let ((_let_3 (tptp.c0_1 tptp.a2450))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a2409))) (let ((_let_6 (tptp.c2_1 tptp.a2409))) (let ((_let_7 (tptp.c0_1 tptp.a2409))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a2484))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.c1_1 tptp.a2484))) (let ((_let_12 (tptp.c0_1 tptp.a2484))) (let ((_let_13 (and tptp.ndr1_0 _let_12 _let_11 _let_10))) (let ((_let_14 (tptp.c3_1 tptp.a2478))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c0_1 tptp.a2478))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.c2_1 tptp.a2478))) (let ((_let_19 (and tptp.ndr1_0 _let_18 _let_17 _let_15))) (let ((_let_20 (tptp.c0_1 tptp.a2455))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c3_1 tptp.a2455))) (let ((_let_23 (tptp.c2_1 tptp.a2455))) (let ((_let_24 (and tptp.ndr1_0 _let_23 _let_22 _let_21))) (let ((_let_25 (tptp.c2_1 tptp.a2453))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.c1_1 tptp.a2453))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c0_1 tptp.a2453))) (let ((_let_30 (not _let_29))) (let ((_let_31 (and tptp.ndr1_0 _let_30 _let_28 _let_26))) (let ((_let_32 (tptp.c2_1 tptp.a2435))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.c0_1 tptp.a2435))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.c3_1 tptp.a2435))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_35 _let_33))) (let ((_let_38 (tptp.c0_1 tptp.a2432))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c3_1 tptp.a2432))) (let ((_let_41 (tptp.c1_1 tptp.a2432))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_39))) (let ((_let_43 (tptp.c3_1 tptp.a2428))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c2_1 tptp.a2428))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c0_1 tptp.a2428))) (let ((_let_48 (not _let_47))) (let ((_let_49 (and tptp.ndr1_0 _let_48 _let_46 _let_44))) (let ((_let_50 (tptp.c1_1 tptp.a2427))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.c3_1 tptp.a2427))) (let ((_let_53 (tptp.c2_1 tptp.a2427))) (let ((_let_54 (and tptp.ndr1_0 _let_53 _let_52 _let_51))) (let ((_let_55 (tptp.c3_1 tptp.a2425))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.c2_1 tptp.a2425))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.c0_1 tptp.a2425))) (let ((_let_60 (and tptp.ndr1_0 _let_59 _let_58 _let_56))) (let ((_let_61 (tptp.c2_1 tptp.a2422))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c3_1 tptp.a2422))) (let ((_let_64 (tptp.c1_1 tptp.a2422))) (let ((_let_65 (and tptp.ndr1_0 _let_64 _let_63 _let_62))) (let ((_let_66 (tptp.c3_1 tptp.a2420))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c2_1 tptp.a2420))) (let ((_let_69 (tptp.c1_1 tptp.a2420))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_68 _let_67))) (let ((_let_71 (tptp.c0_1 tptp.a2418))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.c2_1 tptp.a2418))) (let ((_let_74 (tptp.c1_1 tptp.a2418))) (let ((_let_75 (and tptp.ndr1_0 _let_74 _let_73 _let_72))) (let ((_let_76 (tptp.c1_1 tptp.a2417))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.c0_1 tptp.a2417))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c3_1 tptp.a2417))) (let ((_let_81 (and tptp.ndr1_0 _let_80 _let_79 _let_77))) (let ((_let_82 (tptp.c2_1 tptp.a2416))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.c1_1 tptp.a2416))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.c3_1 tptp.a2416))) (let ((_let_87 (and tptp.ndr1_0 _let_86 _let_85 _let_83))) (let ((_let_88 (tptp.c3_1 tptp.a2414))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.c1_1 tptp.a2414))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c0_1 tptp.a2414))) (let ((_let_93 (and tptp.ndr1_0 _let_92 _let_91 _let_89))) (let ((_let_94 (tptp.c1_1 tptp.a2413))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.c0_1 tptp.a2413))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.c2_1 tptp.a2413))) (let ((_let_99 (and tptp.ndr1_0 _let_98 _let_97 _let_95))) (let ((_let_100 (tptp.c2_1 tptp.a2412))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.c0_1 tptp.a2412))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c1_1 tptp.a2412))) (let ((_let_105 (and tptp.ndr1_0 _let_104 _let_103 _let_101))) (let ((_let_106 (tptp.c3_1 tptp.a2411))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.c1_1 tptp.a2411))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.c2_1 tptp.a2411))) (let ((_let_111 (and tptp.ndr1_0 _let_110 _let_109 _let_107))) (let ((_let_112 (tptp.c2_1 tptp.a2410))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.c1_1 tptp.a2410))) (let ((_let_115 (tptp.c0_1 tptp.a2410))) (let ((_let_116 (and tptp.ndr1_0 _let_115 _let_114 _let_113))) (let ((_let_117 (tptp.c2_1 tptp.a2408))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.c3_1 tptp.a2408))) (let ((_let_120 (tptp.c0_1 tptp.a2408))) (let ((_let_121 (and tptp.ndr1_0 _let_120 _let_119 _let_118))) (let ((_let_122 (and tptp.ndr1_0 (tptp.c0_1 tptp.a2405) (tptp.c2_1 tptp.a2405) (not (tptp.c3_1 tptp.a2405))))) (let ((_let_123 (tptp.c3_1 tptp.a2404))) (let ((_let_124 (not _let_123))) (let ((_let_125 (tptp.c2_1 tptp.a2404))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.c1_1 tptp.a2404))) (let ((_let_128 (not _let_127))) (let ((_let_129 (and tptp.ndr1_0 _let_128 _let_126 _let_124))) (let ((_let_130 (tptp.c3_1 tptp.a2403))) (let ((_let_131 (not _let_130))) (let ((_let_132 (tptp.c2_1 tptp.a2403))) (let ((_let_133 (not _let_132))) (let ((_let_134 (tptp.c1_1 tptp.a2403))) (let ((_let_135 (and tptp.ndr1_0 _let_134 _let_133 _let_131))) (let ((_let_136 (tptp.c1_1 tptp.a2402))) (let ((_let_137 (not _let_136))) (let ((_let_138 (tptp.c3_1 tptp.a2402))) (let ((_let_139 (tptp.c0_1 tptp.a2402))) (let ((_let_140 (and tptp.ndr1_0 _let_139 _let_138 _let_137))) (let ((_let_141 (not (not (and (or (not tptp.hskp0) _let_140) (or (not tptp.hskp1) _let_135) (or (not tptp.hskp2) _let_129) (or (not tptp.hskp3) _let_122) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2407) (not (tptp.c1_1 tptp.a2407)) (not (tptp.c2_1 tptp.a2407)))) (or (not tptp.hskp5) _let_121) (or (not tptp.hskp6) _let_116) (or (not tptp.hskp7) _let_111) (or (not tptp.hskp8) _let_105) (or (not tptp.hskp9) _let_99) (or (not tptp.hskp10) _let_93) (or (not tptp.hskp11) _let_87) (or (not tptp.hskp12) _let_81) (or (not tptp.hskp13) _let_75) (or (not tptp.hskp14) _let_70) (or (not tptp.hskp15) _let_65) (or (not tptp.hskp16) _let_60) (or (not tptp.hskp17) _let_54) (or (not tptp.hskp18) _let_49) (or (not tptp.hskp19) _let_42) (or (not tptp.hskp20) _let_37) (or (not tptp.hskp21) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2437) (tptp.c2_1 tptp.a2437) (not (tptp.c1_1 tptp.a2437)))) (or (not tptp.hskp22) _let_31) (or (not tptp.hskp23) _let_24) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2468) (not (tptp.c0_1 tptp.a2468)) (not (tptp.c3_1 tptp.a2468)))) (or (not tptp.hskp25) _let_19) (or (not tptp.hskp26) _let_13) (or (not tptp.hskp27) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2500)) (not (tptp.c1_1 tptp.a2500)) (not (tptp.c3_1 tptp.a2500)))) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2406) (tptp.c2_1 tptp.a2406) (tptp.c3_1 tptp.a2406))) (or (not tptp.hskp29) _let_8) (or (not tptp.hskp30) _let_4) (or (not tptp.hskp31) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2498) (tptp.c1_1 tptp.a2498) (tptp.c2_1 tptp.a2498))) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c2_1 V))))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 W) (not (tptp.c0_1 W)) (not (tptp.c2_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (not (tptp.c3_1 Y))))) tptp.hskp0) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z)))) (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X1) (not (tptp.c2_1 X1)) (not (tptp.c3_1 X1))))) tptp.hskp1) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c2_1 X2)))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X3) (tptp.c3_1 X3) (not (tptp.c0_1 X3))))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X4) (not (tptp.c1_1 X4)) (not (tptp.c3_1 X4)))))) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c2_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X6) (tptp.c3_1 X6) (not (tptp.c1_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c3_1 X7)))))) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (tptp.c3_1 X8)))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X9)) (not (tptp.c1_1 X9)) (not (tptp.c2_1 X9))))) tptp.hskp2) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (tptp.c3_1 X10)))) tptp.hskp3 tptp.hskp28) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (tptp.c1_1 X11) (not (tptp.c2_1 X11))))) (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (not (tptp.c1_1 X12)) (not (tptp.c3_1 X12))))) tptp.hskp4) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c2_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (not (tptp.c2_1 X14)) (not (tptp.c3_1 X14))))) tptp.hskp5) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X16) (not (tptp.c0_1 X16)) (not (tptp.c3_1 X16))))) tptp.hskp29) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c2_1 X17))))) tptp.hskp6 tptp.hskp7) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c2_1 X18))))) tptp.hskp8 tptp.hskp9) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c1_1 X19) (not (tptp.c3_1 X19))))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20)))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X21)) (not (tptp.c2_1 X21)) (not (tptp.c3_1 X21)))))) (or (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c1_1 X22) (not (tptp.c3_1 X22))))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X23) (not (tptp.c2_1 X23)) (not (tptp.c3_1 X23))))) tptp.hskp10) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c1_1 X24) (not (tptp.c3_1 X24))))) tptp.hskp6 tptp.hskp11) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c1_1 X25) (not (tptp.c3_1 X25))))) tptp.hskp12) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c2_1 X26) (tptp.c3_1 X26)))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (not (tptp.c1_1 X27)) (not (tptp.c2_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c3_1 X28)))))) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (tptp.c3_1 X29)))) tptp.hskp13 tptp.hskp1) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c2_1 X30) (tptp.c3_1 X30)))) tptp.hskp14 tptp.hskp1) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (tptp.c2_1 X31) (not (tptp.c1_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X32) (tptp.c2_1 X32) (not (tptp.c0_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X33) (not (tptp.c0_1 X33)) (not (tptp.c1_1 X33)))))) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c2_1 X34) (not (tptp.c1_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X35)) (not (tptp.c1_1 X35)) (not (tptp.c2_1 X35))))) tptp.hskp15) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c1_1 X36))))) tptp.hskp29 tptp.hskp0) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c2_1 X37) (not (tptp.c1_1 X37))))) tptp.hskp16 tptp.hskp13) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c2_1 X38) (not (tptp.c1_1 X38))))) tptp.hskp17 tptp.hskp18) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X40) (not (tptp.c0_1 X40)) (not (tptp.c2_1 X40))))) tptp.hskp2) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X42)) (not (tptp.c1_1 X42)) (not (tptp.c3_1 X42))))) tptp.hskp12) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c3_1 X43) (not (tptp.c1_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X44) (tptp.c2_1 X44) (not (tptp.c3_1 X44))))) tptp.hskp4) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (not (tptp.c1_1 X45)) (not (tptp.c2_1 X45))))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X46) (tptp.c3_1 X46) (not (tptp.c0_1 X46))))) tptp.hskp19) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c1_1 X47)) (not (tptp.c2_1 X47))))) tptp.hskp12 tptp.hskp11) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (not (tptp.c1_1 X48)) (not (tptp.c3_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (not (tptp.c1_1 X49)) (not (tptp.c3_1 X49))))) tptp.hskp20) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X50) (not (tptp.c1_1 X50)) (not (tptp.c3_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X51) (not (tptp.c0_1 X51)) (not (tptp.c2_1 X51))))) tptp.hskp7) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X52) (not (tptp.c1_1 X52)) (not (tptp.c3_1 X52))))) tptp.hskp21 tptp.hskp17) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53))))) tptp.hskp1 tptp.hskp9) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X54) (not (tptp.c1_1 X54)) (not (tptp.c3_1 X54))))) tptp.hskp7 tptp.hskp20) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c2_1 X55)) (not (tptp.c3_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (not (tptp.c2_1 X56)) (not (tptp.c3_1 X56))))) tptp.hskp2) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (not (tptp.c2_1 X57)) (not (tptp.c3_1 X57))))) tptp.hskp6 tptp.hskp21) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58))))) tptp.hskp28 tptp.hskp9) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (not (tptp.c2_1 X59)) (not (tptp.c3_1 X59))))) tptp.hskp15) (or (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (tptp.c2_1 X60) (not (tptp.c0_1 X60))))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (tptp.c3_1 X61) (not (tptp.c0_1 X61))))) tptp.hskp10) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X62) (tptp.c2_1 X62) (not (tptp.c0_1 X62))))) tptp.hskp30 tptp.hskp21) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (tptp.c2_1 X63) (not (tptp.c0_1 X63))))) tptp.hskp5 tptp.hskp22) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X64) (tptp.c2_1 X64) (not (tptp.c3_1 X64))))) (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (not (tptp.c2_1 X65)) (not (tptp.c3_1 X65))))) tptp.hskp1) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c2_1 X66) (not (tptp.c3_1 X66))))) (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X67) (tptp.c3_1 X67) (not (tptp.c1_1 X67))))) tptp.hskp23) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (tptp.c2_1 X68) (not (tptp.c3_1 X68))))) tptp.hskp10 tptp.hskp16) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c3_1 X69) (not (tptp.c0_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c1_1 X70))))) (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X71)) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71)))))) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c3_1 X72) (not (tptp.c2_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (not (tptp.c0_1 X73)) (not (tptp.c2_1 X73))))) tptp.hskp3) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (tptp.c3_1 X74) (not (tptp.c2_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X75) (not (tptp.c0_1 X75)) (not (tptp.c1_1 X75))))) tptp.hskp2) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X76) (tptp.c3_1 X76) (not (tptp.c2_1 X76))))) (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X77) (not (tptp.c0_1 X77)) (not (tptp.c1_1 X77))))) tptp.hskp14) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c2_1 X78))))) tptp.hskp0 tptp.hskp9) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X79) (tptp.c3_1 X79) (not (tptp.c2_1 X79))))) tptp.hskp16 tptp.hskp12) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80))))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X81) (tptp.c3_1 X81) (not (tptp.c1_1 X81))))) (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X82)) (not (tptp.c2_1 X82)) (not (tptp.c3_1 X82)))))) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (not (tptp.c2_1 X83)) (not (tptp.c3_1 X83))))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X84) (tptp.c3_1 X84) (not (tptp.c0_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X85)) (not (tptp.c1_1 X85)) (not (tptp.c3_1 X85)))))) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (not (tptp.c2_1 X86)) (not (tptp.c3_1 X86))))) tptp.hskp21 tptp.hskp11) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (not (tptp.c2_1 X87)) (not (tptp.c3_1 X87))))) tptp.hskp15 tptp.hskp24) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X88) (tptp.c3_1 X88) (not (tptp.c0_1 X88))))) tptp.hskp5 tptp.hskp19) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X89) (tptp.c3_1 X89) (not (tptp.c1_1 X89))))) tptp.hskp30 tptp.hskp2) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X90) (tptp.c3_1 X90) (not (tptp.c1_1 X90))))) tptp.hskp6 tptp.hskp1) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X91) (not (tptp.c0_1 X91)) (not (tptp.c1_1 X91))))) tptp.hskp5 tptp.hskp1) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c1_1 X92))))) tptp.hskp19 tptp.hskp25) (or (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X93) (not (tptp.c0_1 X93)) (not (tptp.c1_1 X93))))) tptp.hskp25 tptp.hskp7) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X94) (not (tptp.c1_1 X94)) (not (tptp.c3_1 X94))))) (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95))))) tptp.hskp30) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c1_1 X96))))) (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp10) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X98) (not (tptp.c0_1 X98)) (not (tptp.c1_1 X98))))) tptp.hskp6 tptp.hskp26) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X99) (not (tptp.c0_1 X99)) (not (tptp.c2_1 X99))))) (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X100)) (not (tptp.c1_1 X100)) (not (tptp.c2_1 X100))))) tptp.hskp20) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X101) (not (tptp.c1_1 X101)) (not (tptp.c2_1 X101))))) tptp.hskp6 tptp.hskp23) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X102)) (not (tptp.c1_1 X102)) (not (tptp.c2_1 X102))))) tptp.hskp3 tptp.hskp24) (or (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X103)) (not (tptp.c1_1 X103)) (not (tptp.c3_1 X103))))) tptp.hskp14 tptp.hskp23) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X104)) (not (tptp.c2_1 X104)) (not (tptp.c3_1 X104))))) tptp.hskp20 tptp.hskp18) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X105)) (not (tptp.c2_1 X105)) (not (tptp.c3_1 X105))))) tptp.hskp21 tptp.hskp0) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X106)) (not (tptp.c2_1 X106)) (not (tptp.c3_1 X106))))) tptp.hskp15 tptp.hskp11) (or tptp.hskp31 tptp.hskp25 tptp.hskp27) (or tptp.hskp30 tptp.hskp26 tptp.hskp19) (or tptp.hskp26 tptp.hskp8 tptp.hskp11) (or tptp.hskp3 tptp.hskp5 tptp.hskp18) (or tptp.hskp5 tptp.hskp19 tptp.hskp25) (or tptp.hskp8 tptp.hskp9 tptp.hskp7)))))) (let ((_let_142 (forall ((X80 $$unsorted)) (or (tptp.c1_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80)))))) (let ((_let_143 (forall ((W $$unsorted)) (or (tptp.c1_1 W) (not (tptp.c0_1 W)) (not (tptp.c2_1 W)))))) (let ((_let_144 (forall ((X82 $$unsorted)) (or (not (tptp.c0_1 X82)) (not (tptp.c2_1 X82)) (not (tptp.c3_1 X82)))))) (let ((_let_145 (forall ((X81 $$unsorted)) (or (tptp.c2_1 X81) (tptp.c3_1 X81) (not (tptp.c1_1 X81)))))) (let ((_let_146 (not _let_5))) (let ((_let_147 (not _let_6))) (let ((_let_148 (not _let_7))) (let ((_let_149 (or _let_148 _let_147 _let_146))) (let ((_let_150 (not _let_149))) (let ((_let_151 (forall ((X15 $$unsorted)) (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15)))))) (let ((_let_152 (forall ((X16 $$unsorted)) (or (tptp.c1_1 X16) (not (tptp.c0_1 X16)) (not (tptp.c3_1 X16)))))) (let ((_let_153 (forall ((X36 $$unsorted)) (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c1_1 X36)))))) (let ((_let_154 (not _let_138))) (let ((_let_155 (not _let_139))) (let ((_let_156 (or _let_136 _let_155 _let_154))) (let ((_let_157 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c2_1 V)))))) (let ((_let_158 (not _let_23))) (let ((_let_159 (tptp.c1_1 tptp.a2455))) (let ((_let_160 (or _let_20 _let_159 _let_158))) (let ((_let_161 (not _let_157))) (let ((_let_162 (not _let_160))) (let ((_let_163 (not _let_159))) (let ((_let_164 (or _let_20 _let_163 _let_158))) (let ((_let_165 (forall ((X27 $$unsorted)) (or (tptp.c0_1 X27) (not (tptp.c1_1 X27)) (not (tptp.c2_1 X27)))))) (let ((_let_166 (not _let_22))) (let ((_let_167 (or _let_163 _let_158 _let_166))) (let ((_let_168 (forall ((X28 $$unsorted)) (or (tptp.c2_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c3_1 X28)))))) (let ((_let_169 (forall ((X26 $$unsorted)) (or (tptp.c0_1 X26) (tptp.c2_1 X26) (tptp.c3_1 X26))))) (let ((_let_170 (forall ((X21 $$unsorted)) (or (not (tptp.c1_1 X21)) (not (tptp.c2_1 X21)) (not (tptp.c3_1 X21)))))) (let ((_let_171 (forall ((X20 $$unsorted)) (or (tptp.c0_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20))))) (let ((_let_172 (forall ((X70 $$unsorted)) (or (tptp.c3_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c1_1 X70)))))) (let ((_let_173 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_174 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_175 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_176 (or _let_175 _let_174 _let_173))) (let ((_let_177 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_178 (not _let_177))) (let ((_let_179 (not _let_175))) (let ((_let_180 (or _let_173 _let_179 _let_178))) (let ((_let_181 (or))) (let ((_let_182 (_let_164))) (let ((_let_183 (_let_165))) (let ((_let_184 ((not (= (tptp.c0_1 X27) true))))) (let ((_let_185 (ASSUME :args _let_183))) (let ((_let_186 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_517)) :args ((or _let_102 _let_509 _let_516 _let_555))) (REORDERING (CNF_OR_POS :args (_let_511)) :args ((or _let_100 _let_509 _let_510 _let_556))) (REORDERING (CNF_AND_POS :args (_let_105 3)) :args ((or _let_101 _let_557))) (REORDERING (CNF_AND_POS :args (_let_105 2)) :args ((or _let_103 _let_557))) (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_104 _let_557))) :args ((or _let_557 _let_556 _let_555) false _let_510 true _let_100 true _let_102 false _let_104)))) (let ((_let_559 (AND_ELIM _let_308 :args (19)))) (let ((_let_560 (AND_ELIM _let_308 :args (8)))) (let ((_let_561 (not _let_520))) (let ((_let_562 (not _let_13))) (let ((_let_563 (_let_235))) (let ((_let_564 ((not (= (tptp.c1_1 X72) true))))) (let ((_let_565 (ASSUME :args _let_563))) (let ((_let_566 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_565 :args (tptp.a2411 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_563)))) (let ((_let_567 (not _let_522))) (let ((_let_568 (not _let_111))) (let ((_let_569 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_522)) :args ((or _let_108 _let_106 _let_521 _let_567))) (REORDERING (CNF_AND_POS :args (_let_111 3)) :args ((or _let_107 _let_568))) (REORDERING (CNF_AND_POS :args (_let_111 2)) :args ((or _let_109 _let_568))) (REORDERING (CNF_AND_POS :args (_let_111 1)) :args ((or _let_110 _let_568))) :args ((or _let_568 _let_567) true _let_106 true _let_108 false _let_110)))) (let ((_let_570 (AND_ELIM _let_308 :args (7)))) (let ((_let_571 (REORDERING (AND_ELIM _let_308 :args (107)) :args ((or tptp.hskp7 tptp.hskp8 tptp.hskp9))))) (let ((_let_572 (AND_ELIM _let_308 :args (9)))) (let ((_let_573 (not _let_99))) (let ((_let_574 (REORDERING (CNF_AND_POS :args (_let_99 1)) :args ((or _let_98 _let_573))))) (let ((_let_575 (REORDERING (CNF_AND_POS :args (_let_99 2)) :args ((or _let_97 _let_573))))) (let ((_let_576 (REORDERING (CNF_AND_POS :args (_let_99 3)) :args ((or _let_95 _let_573))))) (let ((_let_577 (REORDERING (CNF_OR_POS :args (_let_526)) :args ((or _let_96 _let_94 _let_525 (not _let_526)))))) (let ((_let_578 (_let_157))) (let ((_let_579 ((not (= (tptp.c0_1 V) true))))) (let ((_let_580 (ASSUME :args _let_578))) (let ((_let_581 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a2413 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)))) (let ((_let_582 (_let_161))) (let ((_let_583 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_524)) :args ((or _let_523 _let_286 _let_283 (not _let_524)))) (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_287 _let_286 _let_284 _let_529))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_527 2)) (CONG (REFL :args (_let_527)) (MACRO_SR_PRED_INTRO :args ((= (not _let_286) _let_285))) :args _let_181)) :args ((or _let_285 _let_527))) (CNF_OR_NEG :args (_let_527 1)) (CNF_OR_NEG :args (_let_527 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_582)) :args _let_582)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_161) _let_157))) (REFL :args ((not _let_527))) :args _let_181)) _let_581 _let_577 _let_576 _let_575 _let_574 _let_572 _let_571 _let_570 _let_569 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_565 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_563)) _let_566 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_235 (= X72 X76)))) (AND_ELIM _let_308 :args (79)) _let_311 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_172 (= X70 X77)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (tptp.a2484 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_520)) :args ((or _let_9 _let_519 _let_518 _let_561))) (REORDERING (CNF_AND_POS :args (_let_13 3)) :args ((or _let_10 _let_562))) (REORDERING (CNF_AND_POS :args (_let_13 2)) :args ((or _let_11 _let_562))) (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_12 _let_562))) :args ((or _let_562 _let_561) true _let_9 false _let_11 false _let_12)) (AND_ELIM _let_308 :args (26)) (REORDERING (AND_ELIM _let_308 :args (103)) :args ((or tptp.hskp19 tptp.hskp26 tptp.hskp30))) _let_560 _let_559 _let_558 _let_554 _let_548 _let_547 _let_543 _let_540 _let_537 _let_475 _let_476 _let_311 _let_477 _let_482 _let_536 _let_492 _let_532 _let_494 _let_531 _let_311 _let_495 _let_311 _let_530 _let_496 :args ((or tptp.hskp1 tptp.hskp14 tptp.hskp18 tptp.hskp23 tptp.hskp30 _let_189 _let_529 _let_528) true _let_283 false _let_285 true _let_523 true _let_287 true _let_527 true _let_157 true _let_526 true _let_94 true _let_96 false _let_98 false _let_99 false tptp.hskp9 true tptp.hskp7 true _let_111 false _let_524 false _let_522 false _let_235 false (forall ((X76 $$unsorted)) (or (tptp.c1_1 X76) (tptp.c3_1 X76) (not (tptp.c2_1 X76)))) false tptp.ndr1_0 true (forall ((X77 $$unsorted)) (or (tptp.c3_1 X77) (not (tptp.c0_1 X77)) (not (tptp.c1_1 X77)))) true _let_172 true _let_520 false _let_13 false tptp.hskp26 true tptp.hskp8 true tptp.hskp19 true _let_105 true _let_42 false _let_517 false _let_300 false _let_302 false _let_515 false _let_514 false _let_392 false _let_460 false tptp.ndr1_0 true tptp.hskp17 true _let_54 false _let_511 false _let_463 false _let_215 false _let_223 false _let_187 false tptp.ndr1_0 false _let_222 false tptp.ndr1_0 true _let_188 true _let_220)))) (let ((_let_584 (MACRO_RESOLUTION_TRUST _let_504 _let_502 _let_501 _let_500 _let_499 :args ((or _let_306 _let_468 _let_503) true _let_193 true _let_117 false _let_119 false _let_120)))) (let ((_let_585 (AND_ELIM _let_308 :args (86)))) (let ((_let_586 (not _let_292))) (let ((_let_587 (not _let_301))) (let ((_let_588 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_292)) :args ((or _let_38 _let_289 _let_291 _let_586))) (REORDERING (CNF_OR_POS :args (_let_301)) :args ((or _let_299 _let_289 _let_290 _let_587))) _let_553 _let_552 _let_551 :args ((or _let_550 _let_587 _let_586) false _let_290 true _let_38 false _let_40 false _let_41)))) (let ((_let_589 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (tptp.a2432 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)))) (let ((_let_590 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_302 (= X12 X48)))))) (let ((_let_591 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_195 (= X4 X49)))))) (let ((_let_592 (AND_ELIM _let_308 :args (61)))) (let ((_let_593 (AND_ELIM _let_308 :args (12)))) (let ((_let_594 (not _let_81))) (let ((_let_595 (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_80 _let_594))))) (let ((_let_596 (REORDERING (CNF_AND_POS :args (_let_81 3)) :args ((or _let_77 _let_594))))) (let ((_let_597 (not _let_243))) (let ((_let_598 (REORDERING (CNF_AND_POS :args (_let_81 2)) :args ((or _let_79 _let_594))))) (let ((_let_599 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_243)) :args ((or _let_78 _let_76 _let_224 _let_597))) _let_596 _let_598 _let_595 :args ((or _let_594 _let_597) true _let_76 true _let_78 false _let_80)))) (let ((_let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_319 :args (tptp.a2417 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_318)) :args _let_317)))) (let ((_let_601 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_244 (= Y X24)))))) (let ((_let_602 (AND_ELIM _let_308 :args (46)))) (let ((_let_603 (forall ((X85 $$unsorted)) (or (not (tptp.c0_1 X85)) (not (tptp.c1_1 X85)) (not (tptp.c3_1 X85)))))) (let ((_let_604 (forall ((X83 $$unsorted)) (or (tptp.c1_1 X83) (not (tptp.c2_1 X83)) (not (tptp.c3_1 X83)))))) (let ((_let_605 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (tptp.a2417 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_506)) :args _let_505)))) (let ((_let_606 (not _let_239))) (let ((_let_607 (REORDERING (CNF_OR_POS :args (_let_239)) :args ((or _let_76 _let_224 _let_225 _let_606))))) (let ((_let_608 (not _let_227))) (let ((_let_609 (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_76 _let_224 _let_226 _let_608))))) (let ((_let_610 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_491 :args (tptp.a2417 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_490)) :args _let_489)))) (let ((_let_611 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_202 (= X42 X85)))))) (let ((_let_612 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_223 (= X1 X83)))))) (let ((_let_613 (AND_ELIM _let_308 :args (83)))) (let ((_let_614 (tptp.c3_1 tptp.a2410))) (let ((_let_615 (or _let_112 _let_614 _let_246))) (let ((_let_616 (not _let_614))) (let ((_let_617 (or _let_112 _let_246 _let_616))) (let ((_let_618 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (tptp.a2410 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)))) (let ((_let_619 (not _let_228))) (let ((_let_620 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_228)) :args ((or _let_78 _let_76 _let_225 _let_619))) _let_609 _let_596 _let_598 _let_595 :args ((or _let_594 _let_619 _let_608) true _let_225 true _let_76 true _let_78 false _let_80)))) (let ((_let_621 (not _let_615))) (let ((_let_622 (REORDERING (CNF_OR_POS :args (_let_615)) :args ((or _let_112 _let_246 _let_614 _let_621))))) (let ((_let_623 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_437 :args (tptp.a2417 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_478)) :args _let_436)))) (let ((_let_624 (REORDERING (CNF_OR_POS :args (_let_617)) :args ((or _let_112 _let_246 _let_616 (not _let_617)))))) (let ((_let_625 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (tptp.a2410 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)))) (let ((_let_626 (not _let_251))) (let ((_let_627 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_20 _let_158 _let_166 _let_626))) _let_340 _let_339 _let_338 :args ((or _let_337 _let_626) true _let_20 false _let_22 false _let_23)))) (let ((_let_628 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_451 :args (tptp.a2455 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_450)) :args _let_449)))) (let ((_let_629 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_241 (= X14 X59)))))) (let ((_let_630 (AND_ELIM _let_308 :args (69)))) (let ((_let_631 (AND_ELIM _let_308 :args (15)))) (let ((_let_632 (not _let_255))) (let ((_let_633 (not _let_65))) (let ((_let_634 (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_64 _let_633))))) (let ((_let_635 (REORDERING (CNF_AND_POS :args (_let_65 2)) :args ((or _let_63 _let_633))))) (let ((_let_636 (REORDERING (CNF_AND_POS :args (_let_65 3)) :args ((or _let_62 _let_633))))) (let ((_let_637 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_255)) :args ((or _let_61 _let_254 _let_253 _let_632))) _let_636 _let_635 _let_634 :args ((or _let_633 _let_632) true _let_61 false _let_63 false _let_64)))) (let ((_let_638 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (tptp.a2422 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)))) (let ((_let_639 (MACRO_RESOLUTION_TRUST _let_638 _let_637 _let_422 _let_311 _let_631 _let_428 _let_630 _let_311 _let_623 _let_629 _let_620 _let_628 _let_610 _let_627 _let_494 _let_342 _let_495 _let_311 (MACRO_RESOLUTION_TRUST _let_422 _let_311 _let_625 _let_428 _let_624 _let_623 _let_622 _let_620 _let_618 _let_610 _let_532 _let_494 _let_531 _let_311 _let_495 _let_311 _let_530 _let_496 :args ((or tptp.hskp1 tptp.hskp23 _let_112 _let_196 _let_189 _let_246 _let_594) false tptp.ndr1_0 true _let_195 true _let_197 true _let_617 true _let_198 false _let_614 true _let_228 false _let_615 false _let_227 false _let_215 false _let_223 false _let_187 false tptp.ndr1_0 false _let_222 false tptp.ndr1_0 true _let_188 true _let_220)) _let_496 (MACRO_RESOLUTION_TRUST _let_613 _let_311 _let_612 _let_611 _let_610 _let_441 _let_609 _let_584 _let_607 _let_508 _let_605 :args ((or _let_76 _let_242 _let_306 _let_224 (not _let_189)) false tptp.ndr1_0 true _let_604 true _let_603 true _let_223 true _let_202 true _let_227 true _let_209 false _let_225 false _let_194 false _let_239)) _let_309 (REORDERING (AND_ELIM _let_308 :args (89)) :args ((or tptp.hskp1 tptp.hskp5 _let_313 _let_250))) _let_311 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_249 (= X33 X91)))) _let_421 _let_410 _let_408 _let_406 _let_401 _let_602 _let_311 _let_601 _let_600 _let_599 _let_596 _let_595 _let_593 (MACRO_RESOLUTION_TRUST _let_592 _let_311 _let_591 _let_590 _let_589 _let_547 _let_588 _let_554 _let_559 _let_585 _let_311 _let_309 _let_584 _let_508 _let_583 _let_372 (MACRO_RESOLUTION_TRUST _let_508 _let_504 _let_502 _let_501 _let_500 _let_499 _let_309 _let_498 _let_311 _let_497 _let_496 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_426 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_495 _let_311 (REORDERING (CNF_OR_POS :args (_let_467)) :args ((or _let_458 _let_456 _let_464 (not _let_467)))) _let_494 _let_493 (REORDERING (CNF_OR_POS :args (_let_466)) :args ((or _let_457 _let_456 _let_465 (not _let_466)))) _let_492 _let_488 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) _let_482 _let_479 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_172 (= X70 X95)))) _let_477 _let_428 (AND_ELIM _let_308 :args (92)) _let_311 _let_476 _let_311 _let_422 _let_311 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_195 (= X4 X94)))) _let_475 _let_418 _let_414 _let_403 _let_402 _let_400 _let_376 _let_375 _let_374 _let_474 _let_473 _let_472 _let_471 :args ((or tptp.hskp1 tptp.hskp18 tptp.hskp30 _let_196 _let_373 _let_393 _let_468) true _let_194 true _let_193 true _let_117 false _let_119 false _let_120 false _let_121 false tptp.hskp5 false tptp.ndr1_0 true _let_211 false _let_189 true _let_212 false _let_220 false tptp.ndr1_0 true _let_467 true _let_222 true tptp.hskp22 true _let_464 true _let_223 true _let_31 false _let_466 true _let_463 false _let_199 false _let_172 false _let_54 false _let_198 false (forall ((X95 $$unsorted)) (or (tptp.c3_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95)))) false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 false _let_197 false tptp.ndr1_0 true (forall ((X94 $$unsorted)) (or (tptp.c2_1 X94) (not (tptp.c1_1 X94)) (not (tptp.c3_1 X94)))) true _let_460 true _let_195 true _let_392 true _let_391 true _let_390 false _let_262 true _let_32 true _let_34 false _let_36 true _let_457 true _let_458 false _let_455 true _let_459)) _let_454 _let_453 _let_452 _let_448 _let_445 _let_441 _let_440 _let_349 _let_439 _let_386 _let_385 _let_382 _let_378 _let_342 (MACRO_RESOLUTION_TRUST _let_341 (REORDERING (CNF_OR_POS :args (_let_260)) :args ((or _let_20 _let_166 _let_159 _let_336))) _let_340 _let_339 _let_338 :args ((or _let_337 _let_336 _let_335) false _let_159 true _let_20 false _let_22 false _let_23)) _let_310 _let_334 _let_332 _let_329 _let_328 _let_311 _let_327 _let_326 _let_323 _let_186 _let_322 _let_321 _let_320 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_319 :args (tptp.a2455 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_318)) :args _let_317)) _let_316 _let_315 _let_314 _let_311 _let_312 _let_311 _let_305 :args ((or tptp.hskp1 tptp.hskp11 tptp.hskp12 _let_196) false tptp.ndr1_0 true _let_304 true _let_303 true _let_195 true _let_302 true _let_301 true _let_300 false _let_42 false tptp.hskp19 false tptp.ndr1_0 true tptp.hskp5 true _let_121 false _let_194 false _let_189 true tptp.hskp20 true _let_37 false _let_298 false _let_292 false _let_288 false _let_241 false _let_282 false _let_209 false _let_281 true tptp.hskp14 true _let_70 true tptp.hskp30 true _let_4 false _let_206 false _let_202 true tptp.hskp23 true _let_24 true tptp.hskp18 true _let_49 false _let_278 false _let_171 false _let_277 false tptp.ndr1_0 true tptp.hskp13 true _let_75 false _let_276 false _let_164 false _let_270 false _let_266 false _let_263 false _let_260 false _let_165 false _let_244 false _let_259 false tptp.ndr1_0 false _let_258 false tptp.ndr1_0 true _let_257)) _let_256 :args ((or tptp.hskp1 tptp.hskp11 _let_196) true _let_255 false _let_195 false tptp.ndr1_0 false _let_65 true _let_197 false tptp.hskp15 false tptp.ndr1_0 true _let_198 true _let_252 true _let_228 true _let_241 false _let_227 true _let_251 false _let_223 false _let_24 false _let_222 false tptp.ndr1_0 false tptp.hskp23 true _let_220 true _let_189 false _let_121 false tptp.hskp5 false tptp.ndr1_0 true _let_250 true _let_249 true _let_248 true _let_112 false _let_114 false _let_116 false tptp.hskp6 false tptp.ndr1_0 true _let_245 true _let_244 true _let_243 true _let_76 false _let_80 false _let_81 false tptp.hskp12 true _let_242)))) (let ((_let_640 (_let_196))) (let ((_let_641 ((not (= (tptp.c2_1 X3) true))))) (let ((_let_642 (ASSUME :args _let_640))) (let ((_let_643 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_642 :args (tptp.a2404 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_641)) :args _let_640)))) (let ((_let_644 (or _let_112 _let_614 _let_247))) (let ((_let_645 (or _let_88 _let_229 _let_236))) (let ((_let_646 (or _let_78 _let_225 _let_224))) (let ((_let_647 (or _let_200 _let_125 _let_123))) (let ((_let_648 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_642 :args (tptp.a2410 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_641)) :args _let_640)))) (let ((_let_649 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_642 :args (tptp.a2425 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_641)) :args _let_640)))) (let ((_let_650 (not _let_233))) (let ((_let_651 (not _let_60))) (let ((_let_652 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_233)) :args ((or _let_57 _let_55 _let_232 _let_650))) (REORDERING (CNF_AND_POS :args (_let_60 3)) :args ((or _let_56 _let_651))) (REORDERING (CNF_AND_POS :args (_let_60 2)) :args ((or _let_58 _let_651))) (REORDERING (CNF_AND_POS :args (_let_60 1)) :args ((or _let_59 _let_651))) :args ((or _let_651 _let_650) true _let_55 true _let_57 false _let_59)))) (let ((_let_653 (AND_ELIM _let_308 :args (16)))) (let ((_let_654 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_642 :args (tptp.a2414 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_641)) :args _let_640)))) (let ((_let_655 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_189 (= X44 X68)))))) (let ((_let_656 (AND_ELIM _let_308 :args (75)))) (let ((_let_657 (AND_ELIM _let_308 :args (10)))) (let ((_let_658 (not _let_93))) (let ((_let_659 (REORDERING (CNF_AND_POS :args (_let_93 1)) :args ((or _let_92 _let_658))))) (let ((_let_660 (REORDERING (CNF_AND_POS :args (_let_93 2)) :args ((or _let_91 _let_658))))) (let ((_let_661 (REORDERING (CNF_AND_POS :args (_let_93 3)) :args ((or _let_89 _let_658))))) (let ((_let_662 (not _let_645))) (let ((_let_663 (not _let_231))) (let ((_let_664 (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_88 _let_229 _let_230 _let_663))))) (let ((_let_665 (REORDERING (CNF_OR_POS :args (_let_645)) :args ((or _let_88 _let_229 _let_236 _let_662))))) (let ((_let_666 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (tptp.a2414 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_367)))) (let ((_let_667 (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_90 _let_88 _let_236 (not _let_237)))))) (let ((_let_668 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_565 :args (tptp.a2414 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_563)))) (let ((_let_669 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_235 (= X72 X79)))))) (let ((_let_670 (REORDERING (AND_ELIM _let_308 :args (81)) :args ((or tptp.hskp12 tptp.hskp16 _let_313 _let_234))))) (let ((_let_671 (REORDERING (CNF_OR_POS :args (_let_646)) :args ((or _let_78 _let_224 _let_225 (not _let_646)))))) (let ((_let_672 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_352 :args (tptp.a2417 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_351)) :args _let_350)))) (let ((_let_673 (REORDERING (CNF_AND_POS :args (_let_129 3)) :args ((or _let_124 _let_431))))) (let ((_let_674 (REORDERING (CNF_OR_POS :args (_let_644)) :args ((or _let_112 _let_247 _let_614 (not _let_644)))))) (let ((_let_675 (REORDERING (CNF_OR_POS :args (_let_238)) :args ((or _let_125 _let_123 _let_213 (not _let_238)))))) (let ((_let_676 (REORDERING (CNF_OR_POS :args (_let_647)) :args ((or _let_125 _let_123 _let_200 (not _let_647)))))) (let ((_let_677 ((not (= (tptp.c2_1 X20) true))))) (let ((_let_678 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (tptp.a2404 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_677)) :args _let_330)))) (let ((_let_679 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_195 (= X4 X28)))))) (let ((_let_680 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_171 (= X20 X26)))))) (let ((_let_681 (AND_ELIM _let_308 :args (48)))) (let ((_let_682 (MACRO_RESOLUTION_TRUST _let_326 _let_327 _let_321 _let_328 _let_311 _let_681 _let_311 _let_329 _let_680 :args ((or tptp.hskp1 _let_171 _let_168) false _let_75 false _let_266 false tptp.hskp13 false tptp.ndr1_0 false _let_165 false tptp.ndr1_0 true _let_277 true _let_169)))) (let ((_let_683 (forall ((X37 $$unsorted)) (or (tptp.c0_1 X37) (tptp.c2_1 X37) (not (tptp.c1_1 X37)))))) (let ((_let_684 (REORDERING (AND_ELIM _let_308 :args (54)) :args ((or tptp.hskp13 tptp.hskp16 _let_313 _let_683))))) (let ((_let_685 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_392 (= X31 X37)))))) (let ((_let_686 (forall ((X92 $$unsorted)) (or (tptp.c2_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c1_1 X92)))))) (let ((_let_687 (forall ((X90 $$unsorted)) (or (tptp.c2_1 X90) (tptp.c3_1 X90) (not (tptp.c1_1 X90)))))) (let ((_let_688 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_249 (= X33 X92)))))) (let ((_let_689 (AND_ELIM _let_308 :args (90)))) (let ((_let_690 (AND_ELIM _let_308 :args (25)))) (let ((_let_691 (not _let_19))) (let ((_let_692 (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_18 _let_691))))) (let ((_let_693 (REORDERING (CNF_AND_POS :args (_let_19 2)) :args ((or _let_17 _let_691))))) (let ((_let_694 (not _let_18))) (let ((_let_695 (tptp.c1_1 tptp.a2478))) (let ((_let_696 (or _let_695 _let_14 _let_694))) (let ((_let_697 (not _let_695))) (let ((_let_698 (or _let_16 _let_697 _let_694))) (let ((_let_699 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (tptp.a2478 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_184)) :args _let_183)))) (let ((_let_700 (REORDERING (CNF_OR_POS :args (_let_698)) :args ((or _let_16 _let_694 _let_697 (not _let_698)))))) (let ((_let_701 (MACRO_RESOLUTION_TRUST _let_607 _let_609 _let_596 _let_595 :args ((or _let_594 _let_608 _let_606) true _let_225 true _let_76 false _let_80)))) (let ((_let_702 (MACRO_RESOLUTION_TRUST _let_675 _let_434 _let_673 _let_433 _let_432 _let_423 (AND_ELIM _let_308 :args (66)) _let_311 _let_438 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_241 (= X14 X55)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_198 (= U Z)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_451 :args (tptp.a2417 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_450)) :args _let_449)) (AND_ELIM _let_308 :args (34)) _let_311 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_223 (= X1 X56)))) (REORDERING (CNF_OR_POS :args (_let_240)) :args ((or _let_78 _let_224 _let_226 (not _let_240)))) _let_610 _let_607 _let_701 _let_596 _let_598 _let_595 _let_593 (MACRO_RESOLUTION_TRUST _let_559 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_700 (REORDERING (CNF_OR_POS :args (_let_696)) :args ((or _let_14 _let_694 _let_695 (not _let_696)))) _let_699 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_565 :args (tptp.a2478 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_563)) _let_316 _let_669 _let_314 _let_311 _let_670 _let_311 :args ((or tptp.hskp11 tptp.hskp12 tptp.hskp16 _let_16 _let_14 _let_694) false _let_695 false _let_698 false _let_696 false _let_165 false _let_235 false _let_259 false tptp.ndr1_0 false _let_234 false tptp.ndr1_0)) (REORDERING (CNF_AND_POS :args (_let_19 3)) :args ((or _let_15 _let_691))) _let_693 _let_692 _let_690 _let_689 _let_311 _let_688 _let_421 _let_410 _let_401 (MACRO_RESOLUTION_TRUST _let_577 _let_576 _let_575 _let_574 _let_572 _let_571 _let_560 _let_558 _let_581 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_157 (= V X17)))) (AND_ELIM _let_308 :args (42)) _let_311 _let_570 _let_569 _let_566 _let_669 _let_670 _let_311 _let_593 _let_599 _let_600 _let_536 _let_601 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_215 (= X6 X90)))) _let_602 _let_311 (REORDERING (AND_ELIM _let_308 :args (88)) :args ((or tptp.hskp1 tptp.hskp6 _let_313 _let_687))) _let_311 :args ((or tptp.hskp1 tptp.hskp6 tptp.hskp11 tptp.hskp16 _let_555) true _let_94 true _let_96 false _let_98 false _let_99 false tptp.hskp9 true tptp.hskp8 true _let_105 false _let_526 false _let_157 false (forall ((X17 $$unsorted)) (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c2_1 X17)))) false tptp.ndr1_0 true tptp.hskp7 true _let_111 false _let_522 false _let_235 false _let_234 false tptp.ndr1_0 true tptp.hskp12 true _let_81 false _let_243 false _let_511 false _let_244 false _let_215 false _let_245 false tptp.ndr1_0 false _let_687 false tptp.ndr1_0)) :args ((or tptp.hskp1 tptp.hskp11 tptp.hskp12 tptp.hskp16 tptp.hskp19 _let_555) true _let_14 true _let_16 false _let_18 false _let_19 false tptp.hskp25 false tptp.ndr1_0 true _let_686 true _let_249 true _let_248 false _let_116 false tptp.hskp6)) _let_554 _let_548 _let_547 _let_543 _let_540 _let_537 _let_685 _let_454 _let_684 _let_311 _let_448 _let_327 _let_445 _let_326 _let_323 _let_321 _let_440 _let_316 _let_315 _let_314 _let_311 _let_312 _let_311 _let_653 _let_652 _let_649 _let_639 :args ((or tptp.hskp1 tptp.hskp11 tptp.hskp12) false tptp.hskp19 true _let_42 false _let_517 false _let_300 false _let_302 false _let_515 false _let_514 false _let_392 false _let_298 false _let_683 false tptp.ndr1_0 false _let_241 true tptp.hskp13 false _let_282 true _let_75 false _let_276 false _let_266 false _let_281 false _let_165 false _let_244 false _let_259 false tptp.ndr1_0 false _let_258 false tptp.ndr1_0 true tptp.hskp16 true _let_60 false _let_233 false _let_196)) _let_605 (MACRO_RESOLUTION_TRUST _let_682 _let_679 _let_678 _let_625 _let_676 _let_624 _let_675 _let_674 _let_673 _let_433 _let_408 _let_406 _let_407 _let_423 _let_401 _let_419 _let_311 _let_602 _let_311 _let_672 _let_601 _let_671 _let_600 _let_609 _let_599 _let_596 _let_598 _let_595 _let_593 _let_670 _let_311 _let_669 _let_668 _let_667 _let_666 _let_664 (MACRO_RESOLUTION_TRUST _let_665 _let_664 :args ((or _let_88 _let_229 _let_663 _let_662) false _let_230)) _let_661 _let_660 _let_659 _let_610 _let_657 _let_494 _let_656 _let_311 _let_495 _let_311 _let_655 _let_496 _let_654 _let_653 _let_652 _let_649 _let_648 _let_643 _let_639 :args ((or tptp.hskp1 tptp.hskp11 _let_189) true _let_168 true _let_171 true _let_195 true _let_647 true _let_617 true _let_200 false _let_614 true _let_123 true _let_125 true _let_112 false _let_114 false _let_115 false _let_129 false _let_116 false tptp.hskp2 false tptp.ndr1_0 false tptp.hskp6 false tptp.ndr1_0 true _let_344 true _let_245 true _let_646 true _let_244 true _let_225 true _let_243 true _let_76 true _let_78 false _let_80 false _let_81 false tptp.hskp12 false tptp.ndr1_0 true _let_234 true _let_235 true _let_237 true _let_358 false _let_230 true _let_645 true _let_88 true _let_90 false _let_92 false _let_227 false _let_93 false _let_223 false tptp.hskp10 false tptp.ndr1_0 false _let_222 false tptp.ndr1_0 true _let_221 true _let_220 false _let_231 true tptp.hskp16 true _let_60 false _let_233 false _let_644 false _let_238 false _let_196)) _let_643 _let_639 :args ((or tptp.hskp1 tptp.hskp11) false _let_200 true _let_123 true _let_125 true _let_127 false _let_129 false tptp.hskp2 false tptp.ndr1_0 false _let_201 true (forall ((X55 $$unsorted)) (or (tptp.c0_1 X55) (not (tptp.c2_1 X55)) (not (tptp.c3_1 X55)))) false _let_198 true _let_241 false (forall ((Z $$unsorted)) (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z))) false tptp.ndr1_0 true (forall ((X56 $$unsorted)) (or (tptp.c1_1 X56) (not (tptp.c2_1 X56)) (not (tptp.c3_1 X56)))) true _let_240 true _let_223 false _let_225 true _let_227 true _let_76 true _let_78 false _let_80 false _let_81 false tptp.hskp12 false _let_239 false _let_189 false _let_238 false _let_196)))) (let ((_let_703 (AND_ELIM _let_308 :args (11)))) (let ((_let_704 (not _let_191))) (let ((_let_705 (not _let_87))) (let ((_let_706 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_84 _let_82 _let_190 _let_704))) (REORDERING (CNF_AND_POS :args (_let_87 3)) :args ((or _let_83 _let_705))) (REORDERING (CNF_AND_POS :args (_let_87 2)) :args ((or _let_85 _let_705))) (REORDERING (CNF_AND_POS :args (_let_87 1)) :args ((or _let_86 _let_705))) :args ((or _let_705 _let_704) true _let_82 true _let_84 false _let_86)))) (let ((_let_707 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (tptp.a2416 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_506)) :args _let_505)))) (let ((_let_708 (or _let_458 _let_457 _let_465))) (let ((_let_709 (or _let_464 _let_457 _let_456))) (let ((_let_710 (forall ((X46 $$unsorted)) (or (tptp.c1_1 X46) (tptp.c3_1 X46) (not (tptp.c0_1 X46)))))) (let ((_let_711 (forall ((X45 $$unsorted)) (or (tptp.c0_1 X45) (not (tptp.c1_1 X45)) (not (tptp.c2_1 X45)))))) (let ((_let_712 (or _let_90 _let_229 _let_236))) (let ((_let_713 (or _let_90 _let_88 _let_229))) (let ((_let_714 (or _let_78 _let_76 _let_226))) (let ((_let_715 (not _let_713))) (let ((_let_716 (REORDERING (CNF_OR_POS :args (_let_713)) :args ((or _let_90 _let_88 _let_229 _let_715))))) (let ((_let_717 (MACRO_RESOLUTION_TRUST _let_716 _let_661 _let_660 _let_659 :args ((or _let_658 _let_715) true _let_88 true _let_90 false _let_92)))) (let ((_let_718 (_let_710))) (let ((_let_719 (ASSUME :args _let_718))) (let ((_let_720 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_719 :args (tptp.a2414 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X46) true))))) :args _let_718)))) (let ((_let_721 (REORDERING (CNF_OR_POS :args (_let_712)) :args ((or _let_90 _let_229 _let_236 (not _let_712)))))) (let ((_let_722 (AND_ELIM _let_308 :args (59)))) (let ((_let_723 (_let_143))) (let ((_let_724 ((not (= (tptp.c0_1 W) false))))) (let ((_let_725 (ASSUME :args _let_723))) (let ((_let_726 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_725 :args (tptp.a2414 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_724)) :args _let_723)))) (let ((_let_727 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_165 (= X27 X45)))))) (let ((_let_728 (AND_ELIM _let_308 :args (32)))) (let ((_let_729 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)))) (let ((_let_730 (REORDERING (CNF_OR_POS :args (_let_708)) :args ((or _let_458 _let_457 _let_465 (not _let_708)))))) (let ((_let_731 (or _let_16 _let_695 _let_694))) (let ((_let_732 (REORDERING (CNF_OR_POS :args (_let_709)) :args ((or _let_457 _let_456 _let_464 (not _let_709)))))) (let ((_let_733 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_719 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X46) true))))) :args _let_718)))) (let ((_let_734 (MACRO_RESOLUTION_TRUST _let_385 _let_382 _let_386 _let_347 _let_583 _let_348 _let_311 _let_707 _let_706 _let_703 _let_702 :args ((or tptp.hskp1 tptp.hskp14 tptp.hskp18 tptp.hskp23 _let_529 _let_528) false _let_206 false _let_4 false _let_202 false tptp.hskp30 false _let_343 false tptp.ndr1_0 true _let_189 true _let_191 false _let_87 false tptp.hskp11)))) (let ((_let_735 (MACRO_RESOLUTION_TRUST _let_394 _let_362 _let_361 _let_360 _let_349 _let_734 _let_310 _let_334 _let_332 _let_329 _let_328 _let_311 _let_327 _let_326 _let_321 _let_398 _let_727 _let_399 _let_311 _let_722 _let_311 _let_401 _let_733 _let_410 _let_732 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_731)) :args ((or _let_16 _let_694 _let_695 (not _let_731)))) _let_700 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a2478 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) _let_699 _let_728 _let_311 _let_727 _let_726 _let_722 _let_311 _let_721 _let_720 _let_664 _let_717 _let_661 _let_660 _let_659 _let_657 _let_656 _let_311 _let_653 _let_652 _let_649 _let_654 _let_693 _let_692 _let_422 _let_311 _let_690 _let_625 _let_689 _let_311 _let_624 _let_688 _let_622 _let_421 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_248 2)) (CONG (REFL :args _let_409) (MACRO_SR_PRED_INTRO :args ((= (not _let_246) _let_114))) :args _let_181)) :args ((or _let_114 _let_248))) (REORDERING (CNF_OR_NEG :args (_let_248 0)) :args ((or _let_113 _let_248))) _let_428 :args ((or tptp.hskp19 _let_198 _let_221 _let_248 _let_621) true _let_695 false _let_731 false _let_698 false _let_157 false tptp.ndr1_0 false _let_165 true _let_143 false _let_711 false tptp.ndr1_0 true _let_712 true _let_710 false _let_230 true _let_713 true _let_88 true _let_90 false _let_92 false _let_93 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp16 true _let_60 false _let_233 false _let_231 true _let_16 false _let_18 false _let_196 false tptp.ndr1_0 false _let_19 true _let_195 false tptp.hskp25 false tptp.ndr1_0 true _let_617 true _let_686 false _let_614 true _let_249 false _let_114 true _let_112 true _let_197)) _let_730 _let_618 _let_729 _let_532 _let_531 _let_311 _let_559 _let_342 _let_588 _let_627 _let_454 _let_453 _let_452 _let_628 _let_629 _let_630 _let_311 _let_631 _let_637 _let_589 _let_638 _let_472 _let_474 _let_473 _let_422 _let_311 _let_471 (MACRO_RESOLUTION_TRUST _let_581 _let_728 _let_311 _let_577 _let_726 _let_576 _let_575 _let_574 _let_721 _let_572 _let_664 (AND_ELIM _let_308 :args (64)) _let_311 _let_661 _let_660 _let_659 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_302 (= X12 X53)))) _let_657 _let_547 _let_656 _let_311 _let_554 _let_653 _let_559 _let_652 (MACRO_RESOLUTION_TRUST _let_676 _let_675 _let_673 _let_433 _let_423 _let_419 _let_311 _let_672 _let_678 _let_671 _let_329 (REORDERING (CNF_OR_POS :args (_let_714)) :args ((or _let_78 _let_76 _let_226 (not _let_714)))) _let_328 _let_311 _let_596 _let_598 _let_595 _let_327 _let_593 _let_326 _let_670 _let_311 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a2417 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) _let_321 _let_669 _let_728 _let_311 _let_727 _let_666 _let_668 _let_726 _let_722 _let_311 _let_665 _let_667 _let_721 _let_720 _let_664 _let_717 _let_661 _let_660 _let_659 _let_657 _let_656 _let_311 _let_653 _let_652 _let_649 _let_654 _let_643 :args ((or tptp.hskp1 tptp.hskp19 _let_198 _let_221 _let_469) true _let_200 true _let_123 true _let_125 false _let_129 false tptp.hskp2 false tptp.ndr1_0 true _let_344 false _let_647 true _let_646 false _let_171 true _let_225 false _let_277 false tptp.ndr1_0 true _let_76 true _let_78 false _let_80 true tptp.hskp13 false _let_81 true _let_75 false tptp.hskp12 false tptp.ndr1_0 false _let_714 false _let_266 true _let_234 false _let_157 false tptp.ndr1_0 false _let_165 true _let_358 true _let_235 true _let_143 false _let_711 false tptp.ndr1_0 true _let_645 true _let_237 true _let_712 true _let_710 false _let_230 true _let_713 true _let_88 true _let_90 false _let_92 false _let_93 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp16 true _let_60 false _let_233 false _let_231 false _let_238)) _let_649 _let_654 _let_655 _let_707 _let_706 _let_703 _let_702 :args ((or tptp.hskp1 _let_198 _let_469) false _let_157 false tptp.ndr1_0 true _let_526 true _let_143 true _let_94 true _let_96 false _let_98 true _let_712 false _let_99 false _let_230 false tptp.hskp9 false tptp.ndr1_0 true _let_88 true _let_90 false _let_92 true (forall ((X53 $$unsorted)) (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53)))) false _let_93 true _let_302 false tptp.hskp10 false tptp.ndr1_0 true _let_300 true tptp.hskp16 false _let_42 true _let_60 false tptp.hskp19 false _let_233 false _let_231 true _let_221 true _let_189 true _let_191 false _let_87 false tptp.hskp11)) _let_428 _let_530 _let_655 _let_707 _let_706 _let_703 _let_702 :args ((or tptp.hskp1 _let_198) true _let_66 false _let_68 false _let_69 false _let_70 false tptp.hskp14 true tptp.hskp18 true _let_49 false _let_278 false _let_171 false _let_277 false tptp.ndr1_0 true tptp.hskp13 true _let_75 false _let_266 false _let_387 false _let_165 false _let_388 false tptp.ndr1_0 false _let_711 false tptp.ndr1_0 true tptp.hskp6 true _let_710 true _let_116 true _let_709 false _let_248 true _let_464 false _let_615 false _let_708 false _let_215 false _let_187 false tptp.ndr1_0 true tptp.hskp19 true tptp.hskp23 true _let_42 true _let_24 false _let_298 false _let_292 false _let_288 false _let_251 false _let_241 false _let_252 false tptp.ndr1_0 true tptp.hskp15 true _let_65 false _let_301 false _let_255 false _let_455 true _let_457 true _let_458 false _let_195 false tptp.ndr1_0 true _let_459 true _let_196 true _let_197 true _let_188 true _let_221 true _let_189 true _let_191 false _let_87 false tptp.hskp11)))) (let ((_let_736 (or _let_159 _let_158 _let_166))) (let ((_let_737 (or _let_20 _let_163 _let_166))) (let ((_let_738 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_491 :args (tptp.a2455 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X1) false))))) :args _let_489)))) (let ((_let_739 (not _let_736))) (let ((_let_740 (REORDERING (CNF_OR_POS :args (_let_736)) :args ((or _let_158 _let_166 _let_159 _let_739))))) (let ((_let_741 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_742 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_743 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_744 (or _let_743 _let_742 _let_741))) (let ((_let_745 (not _let_742))) (let ((_let_746 (or _let_743 _let_741 _let_745))) (let ((_let_747 (or _let_743 _let_741 (not (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))))) (let ((_let_748 (not _let_195))) (let ((_let_749 (MACRO_RESOLUTION_TRUST _let_334 _let_332 _let_310 _let_329 _let_734 _let_328 _let_311 _let_349 _let_327 _let_439 _let_326 _let_322 _let_321 _let_727 _let_722 _let_311 _let_559 _let_588 _let_454 _let_453 _let_452 _let_629 _let_630 _let_311 _let_631 _let_637 _let_589 _let_638 _let_733 _let_732 _let_472 _let_730 _let_474 _let_473 _let_471 _let_729 _let_532 _let_531 _let_530 _let_320 _let_315 _let_312 _let_593 _let_620 _let_610 _let_494 _let_495 _let_311 _let_496 _let_707 _let_706 _let_703 _let_702 _let_623 _let_735 :args ((or tptp.hskp1 tptp.hskp23 _let_196 _let_748) false _let_278 false _let_49 false _let_171 false tptp.hskp18 false _let_277 false tptp.ndr1_0 true tptp.hskp14 true tptp.hskp13 true _let_70 true _let_75 false _let_270 false _let_266 false _let_165 false _let_711 false tptp.ndr1_0 true tptp.hskp19 true _let_42 false _let_298 false _let_292 false _let_288 false _let_241 false _let_252 false tptp.ndr1_0 true tptp.hskp15 true _let_65 false _let_301 false _let_255 true _let_710 true _let_709 false _let_455 true _let_464 true _let_457 true _let_458 true _let_459 false _let_708 false _let_215 false _let_187 true _let_188 false _let_263 false _let_244 false _let_258 true tptp.hskp12 true _let_81 false _let_227 false _let_223 false _let_222 false tptp.ndr1_0 true _let_220 true _let_189 true _let_191 false _let_87 false tptp.hskp11 false _let_228 false _let_198)))) (let ((_let_750 (not _let_746))) (let ((_let_751 (not _let_744))) (let ((_let_752 (not _let_344))) (let ((_let_753 (_let_752))) (let ((_let_754 (not _let_165))) (let ((_let_755 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_308 :args (1)) (MACRO_RESOLUTION_TRUST _let_667 _let_664 _let_668 _let_661 _let_660 _let_659 _let_669 _let_657 _let_670 _let_311 _let_656 _let_311 _let_653 _let_652 _let_649 _let_654 (MACRO_RESOLUTION_TRUST _let_377 _let_376 _let_375 _let_374 _let_372 _let_592 _let_311 _let_590 _let_547 _let_554 _let_559 _let_722 _let_311 _let_727 (MACRO_RESOLUTION_TRUST _let_583 _let_386 _let_454 _let_452 _let_385 _let_448 _let_349 _let_382 _let_445 _let_439 _let_378 _let_323 _let_322 _let_320 _let_440 _let_315 _let_312 _let_593 _let_620 _let_610 _let_494 _let_495 _let_311 _let_496 _let_623 _let_735 _let_310 _let_334 _let_332 _let_682 _let_679 _let_749 _let_707 _let_706 _let_703 _let_702 :args ((or tptp.hskp1 tptp.hskp23 _let_196 _let_754) true tptp.hskp30 false _let_298 false _let_288 true _let_4 false _let_241 true tptp.hskp14 false _let_206 false _let_282 true _let_70 false _let_202 false _let_276 false _let_270 false _let_263 false _let_281 false _let_244 false _let_258 true tptp.hskp12 true _let_81 false _let_227 false _let_223 false _let_222 false tptp.ndr1_0 true _let_220 false _let_228 false _let_198 true tptp.hskp18 true _let_49 false _let_278 false _let_171 true _let_168 true _let_195 true _let_189 true _let_191 false _let_87 false tptp.hskp11)) _let_353 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_753)) :args _let_753)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_752) _let_344))) (REFL :args ((not _let_747))) :args _let_181)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_744)) :args ((or _let_743 _let_741 _let_742 _let_751))) (REORDERING (CNF_OR_POS :args (_let_746)) :args ((or _let_743 _let_741 _let_745 _let_750))) (CNF_OR_NEG :args (_let_747 1)) (CNF_OR_NEG :args (_let_747 0)) :args ((or _let_747 _let_751 _let_750) true _let_742 true _let_741 true _let_743)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_412)) :args _let_411)) _let_475 _let_476 _let_311 _let_310 _let_334 _let_332 _let_682 _let_591 _let_679 _let_749 _let_733 _let_732 _let_730 _let_729 _let_532 _let_531 _let_311 _let_530 _let_473 _let_474 _let_472 _let_471 _let_477 _let_482 _let_492 _let_494 _let_495 _let_311 _let_496 _let_707 _let_706 _let_703 _let_702 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_437 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_478)) :args _let_436)) _let_735 :args ((or tptp.hskp1 tptp.hskp23 _let_196) true _let_32 true _let_34 false _let_36 false _let_37 false tptp.hskp20 false tptp.ndr1_0 true _let_303 true _let_302 true _let_300 false _let_42 false tptp.hskp19 false tptp.ndr1_0 true _let_711 true _let_165 false _let_345 false _let_344 false _let_747 false _let_746 false _let_392 false _let_460 false tptp.ndr1_0 true tptp.hskp18 true _let_49 false _let_278 false _let_171 true _let_304 true _let_168 true _let_195 true _let_710 true _let_709 true _let_464 false _let_708 false _let_215 false _let_187 false tptp.ndr1_0 true _let_188 true _let_458 true _let_457 false _let_455 true _let_459 true tptp.hskp17 true _let_54 false _let_463 false _let_223 false _let_222 false tptp.ndr1_0 true _let_220 true _let_189 true _let_191 false _let_87 false tptp.hskp11 false _let_744 false _let_198)) _let_342 (MACRO_RESOLUTION_TRUST _let_414 _let_475 _let_402 _let_476 _let_311 _let_400 _let_310 _let_376 _let_375 _let_374 _let_334 _let_372 _let_332 _let_592 _let_311 _let_682 _let_591 _let_679 _let_638 _let_637 _let_631 _let_590 _let_630 _let_311 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_546 :args (tptp.a2455 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_545)) :args _let_544)) _let_629 (REORDERING (CNF_OR_POS :args (_let_737)) :args ((or _let_20 _let_166 _let_163 (not _let_737)))) _let_628 _let_740 _let_627 _let_340 _let_339 _let_338 _let_738 _let_320 _let_315 _let_312 _let_593 _let_620 _let_610 _let_623 _let_735 _let_477 _let_482 _let_492 _let_494 _let_495 _let_311 _let_496 _let_707 _let_706 _let_703 _let_702 :args ((or tptp.hskp1 _let_337) false _let_392 true _let_390 false _let_460 false tptp.ndr1_0 false _let_262 true tptp.hskp18 true _let_32 true _let_34 false _let_36 true _let_49 false _let_37 false _let_278 false tptp.hskp20 false tptp.ndr1_0 false _let_171 true _let_304 true _let_168 true _let_195 true _let_255 false _let_65 true _let_303 false tptp.hskp15 false tptp.ndr1_0 true _let_302 true _let_252 true _let_737 true _let_241 false _let_159 true _let_251 true _let_20 false _let_22 false _let_23 false _let_736 false _let_263 false _let_244 false _let_258 true tptp.hskp12 true _let_81 false _let_227 false _let_228 false _let_198 true tptp.hskp17 true _let_54 false _let_463 false _let_223 false _let_222 false tptp.ndr1_0 true _let_220 true _let_189 true _let_191 false _let_87 false tptp.hskp11)) _let_593 _let_620 _let_623 _let_735 _let_610 _let_494 _let_495 _let_311 _let_655 _let_496 _let_707 _let_706 _let_703 _let_702 :args (tptp.hskp1 false _let_230 false _let_237 true _let_88 true _let_90 false _let_92 false _let_235 false _let_93 false _let_234 false tptp.ndr1_0 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp16 true _let_60 false _let_233 false _let_231 false _let_196 true tptp.hskp23 true _let_24 true tptp.hskp12 true _let_81 false _let_228 false _let_198 false _let_227 false _let_223 false _let_222 false tptp.ndr1_0 true _let_221 true _let_220 true _let_189 true _let_191 false _let_87 false tptp.hskp11)) :args (_let_135 false tptp.hskp1)))) (let ((_let_756 (not _let_135))) (let ((_let_757 (REORDERING (CNF_AND_POS :args (_let_135 1)) :args ((or _let_134 _let_756))))) (let ((_let_758 (REORDERING (CNF_AND_POS :args (_let_135 2)) :args ((or _let_133 _let_756))))) (let ((_let_759 (REORDERING (CNF_AND_POS :args (_let_135 3)) :args ((or _let_131 _let_756))))) (let ((_let_760 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_132 _let_130 _let_216 _let_219))) _let_759 _let_758 _let_757 :args ((or _let_756 _let_219) true _let_130 true _let_132 false _let_134)) _let_755 :args (_let_219 false _let_135)))) (let ((_let_761 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (tptp.a2403 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)))) (let ((_let_762 (MACRO_RESOLUTION_TRUST _let_761 _let_760 :args (_let_218 true _let_217)))) (let ((_let_763 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_764 (not _let_763))) (let ((_let_765 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_766 (not _let_765))) (let ((_let_767 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_768 (or _let_767 _let_766 _let_764))) (let ((_let_769 (forall ((X106 $$unsorted)) (or (not (tptp.c1_1 X106)) (not (tptp.c2_1 X106)) (not (tptp.c3_1 X106)))))) (let ((_let_770 (not _let_767))) (let ((_let_771 (or _let_766 _let_770 _let_764))) (let ((_let_772 (or (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_766 _let_764))) (let ((_let_773 (_let_170))) (let ((_let_774 ((not (= (tptp.c1_1 X21) false))))) (let ((_let_775 (ASSUME :args _let_773))) (let ((_let_776 (tptp.c0_1 tptp.a2403))) (let ((_let_777 (not _let_776))) (let ((_let_778 (or _let_132 _let_130 _let_777))) (let ((_let_779 (or _let_776 _let_132 _let_216))) (let ((_let_780 (or _let_776 _let_132 _let_130))) (let ((_let_781 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_782 (not _let_781))) (let ((_let_783 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_784 (not _let_783))) (let ((_let_785 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_786 (or _let_785 _let_784 _let_782))) (let ((_let_787 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_788 (not _let_787))) (let ((_let_789 (or _let_785 _let_782 _let_788))) (let ((_let_790 (or _let_787 _let_784 _let_782))) (let ((_let_791 (MACRO_RESOLUTION_TRUST _let_758 _let_755 :args (_let_133 false _let_135)))) (let ((_let_792 (MACRO_RESOLUTION_TRUST _let_759 _let_755 :args (_let_131 false _let_135)))) (let ((_let_793 ((not (= (tptp.c2_1 X31) true))))) (let ((_let_794 (_let_754))) (let ((_let_795 (REFL :args (_let_786)))) (let ((_let_796 (MACRO_RESOLUTION_TRUST _let_624 _let_674 _let_408 _let_406 _let_407 _let_401 _let_399 _let_311 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)) (REORDERING (CNF_OR_POS :args (_let_790)) :args ((or _let_784 _let_782 _let_787 (not _let_790)))) _let_342 (REORDERING (CNF_OR_POS :args (_let_789)) :args ((or _let_785 _let_782 _let_788 (not _let_789)))) _let_627 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_451 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_450)) :args _let_449)) _let_628 _let_629 _let_630 _let_311 _let_631 _let_637 _let_638 _let_625 _let_679 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_786 2)) (CONG _let_795 (MACRO_SR_PRED_INTRO :args ((= (not _let_782) _let_781))) :args _let_181)) :args ((or _let_781 _let_786))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_786 1)) (CONG _let_795 (MACRO_SR_PRED_INTRO :args ((= (not _let_784) _let_783))) :args _let_181)) :args ((or _let_783 _let_786))) (CNF_OR_NEG :args (_let_786 0)) _let_681 _let_311 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_794)) :args _let_794)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_754) _let_165))) (REFL :args ((not _let_786))) :args _let_181)) _let_321 _let_326 _let_327 _let_684 _let_311 _let_680 _let_685 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (tptp.a2403 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_677)) :args _let_330)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (tptp.a2403 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_793)) :args _let_411)) _let_653 (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_132 _let_130 _let_776 (not _let_780)))) _let_792 _let_791 (REORDERING (CNF_OR_POS :args (_let_779)) :args ((or _let_132 _let_216 _let_776 (not _let_779)))) (MACRO_RESOLUTION_TRUST _let_757 _let_755 :args (_let_134 false _let_135)) _let_791 _let_652 (REORDERING (CNF_OR_POS :args (_let_778)) :args ((or _let_132 _let_130 _let_777 (not _let_778)))) _let_792 _let_791 _let_649 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_642 :args (tptp.a2403 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_641)) :args _let_640)) _let_648 :args (_let_469 false _let_614 true _let_112 false _let_114 false _let_115 false _let_116 false tptp.hskp6 false tptp.ndr1_0 true _let_388 true _let_790 true tptp.hskp23 true _let_787 true _let_24 false _let_789 false _let_251 false _let_241 false _let_252 false tptp.ndr1_0 true tptp.hskp15 true _let_65 false _let_255 false _let_617 false _let_195 false _let_781 false _let_783 true _let_785 false _let_168 false tptp.ndr1_0 true _let_786 true _let_165 true _let_266 false _let_75 false tptp.hskp13 false tptp.ndr1_0 true _let_169 true _let_683 true _let_171 true _let_392 true tptp.hskp16 true _let_780 true _let_130 true _let_132 true _let_779 false _let_134 true _let_132 true _let_60 true _let_776 true _let_130 true _let_132 false _let_233 false _let_778 false _let_644)))) (let ((_let_797 (not _let_202))) (let ((_let_798 (_let_797))) (let ((_let_799 (REFL :args (_let_772)))) (let ((_let_800 (not _let_768))) (let ((_let_801 (not _let_771))) (let ((_let_802 (MACRO_RESOLUTION_TRUST _let_256 _let_796 :args ((not _let_242) true _let_196)))) (let ((_let_803 (MACRO_RESOLUTION_TRUST _let_342 (MACRO_RESOLUTION_TRUST _let_427 _let_435 _let_497 _let_423 _let_498 _let_311 (REORDERING (AND_ELIM _let_308 :args (87)) :args ((or tptp.hskp2 tptp.hskp30 _let_313 _let_210))) _let_311 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_215 (= X6 X89)))) _let_762 :args ((not _let_210) true _let_215)) _let_309 _let_386 _let_584 _let_385 _let_441 _let_382 (MACRO_RESOLUTION_TRUST _let_322 _let_316 _let_378 _let_314 _let_311 _let_593 _let_701 _let_610 _let_612 _let_613 _let_311 _let_802 _let_611 _let_605 _let_703 _let_706 _let_707 _let_530 _let_531 _let_532 _let_761 _let_760 _let_311 :args ((or tptp.hskp23 _let_202) false _let_165 true _let_270 false _let_259 false tptp.ndr1_0 true tptp.hskp12 true _let_81 false _let_227 false _let_223 false _let_604 false tptp.ndr1_0 true _let_242 true _let_603 false _let_239 true tptp.hskp11 true _let_87 false _let_191 false _let_189 false _let_188 true _let_187 true _let_215 true _let_217 false tptp.ndr1_0)) _let_493 _let_488 _let_438 _let_479 _let_428 _let_422 _let_311 _let_796 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_768)) :args ((or _let_766 _let_764 _let_767 _let_800))) (REORDERING (CNF_OR_POS :args (_let_771)) :args ((or _let_766 _let_764 _let_770 _let_801))) :args ((or _let_766 _let_764 _let_801 _let_800) true _let_767)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_772 2)) (CONG _let_799 (MACRO_SR_PRED_INTRO :args ((= (not _let_764) _let_763))) :args _let_181)) :args ((or _let_763 _let_772))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_772 1)) (CONG _let_799 (MACRO_SR_PRED_INTRO :args ((= (not _let_766) _let_765))) :args _let_181)) :args ((or _let_765 _let_772))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_798)) :args _let_798)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_797) _let_202))) (REFL :args ((not _let_772))) :args _let_181)) _let_441 _let_584 _let_309 _let_585 _let_311 (MACRO_RESOLUTION_TRUST _let_305 _let_796 :args ((not _let_257) true _let_196)) _let_559 _let_588 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_775 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_774)) :args _let_773)) _let_453 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_170 (= X21 X106)))) _let_629 (REORDERING (AND_ELIM _let_308 :args (101)) :args ((or tptp.hskp11 tptp.hskp15 _let_313 _let_769))) _let_311 _let_630 _let_311 _let_631 _let_637 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)) _let_589 _let_638 :args ((or tptp.hskp11 _let_748 _let_503) false _let_763 false _let_765 true _let_772 true _let_202 true _let_209 false _let_121 false tptp.hskp5 false tptp.ndr1_0 true _let_257 true tptp.hskp19 true _let_42 false _let_771 false _let_292 false _let_170 false _let_241 false _let_769 false tptp.ndr1_0 false _let_252 false tptp.ndr1_0 true tptp.hskp15 true _let_65 false _let_768 false _let_301 false _let_255)) _let_703 _let_706 _let_508 _let_707 _let_530 _let_531 _let_311 (MACRO_RESOLUTION_TRUST _let_532 _let_762 :args ((not _let_187) true _let_215)) :args (tptp.hskp23 true _let_214 false _let_212 false _let_129 false _let_211 false tptp.ndr1_0 false tptp.hskp2 false tptp.ndr1_0 true _let_210 true tptp.hskp5 true tptp.hskp30 true _let_121 true _let_4 false _let_209 false _let_206 false _let_202 true tptp.hskp22 true _let_31 false _let_201 false _let_199 false _let_198 false _let_197 false tptp.ndr1_0 true _let_196 true _let_195 true tptp.hskp11 true _let_87 false _let_194 false _let_191 false _let_189 false _let_188 false tptp.ndr1_0 true _let_187)) :args (_let_24 false tptp.hskp23)))) (let ((_let_804 (MACRO_RESOLUTION_TRUST _let_338 _let_803 :args (_let_23 false _let_24)))) (let ((_let_805 (MACRO_RESOLUTION_TRUST _let_339 _let_803 :args (_let_22 false _let_24)))) (let ((_let_806 (MACRO_RESOLUTION_TRUST _let_631 (MACRO_RESOLUTION_TRUST _let_630 _let_311 (MACRO_RESOLUTION_TRUST _let_629 (MACRO_RESOLUTION_TRUST _let_628 (MACRO_RESOLUTION_TRUST _let_627 _let_803 :args (_let_626 false _let_24)) :args (_let_446 true _let_251)) :args ((not _let_252) true _let_241)) :args (tptp.hskp15 false tptp.ndr1_0 true _let_252)) :args (_let_65 false tptp.hskp15)))) (let ((_let_807 (or _let_174 _let_173 _let_178))) (let ((_let_808 (not _let_807))) (let ((_let_809 (_let_218))) (let ((_let_810 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_809)) :args _let_809)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_218) _let_215))) (REFL :args (_let_808)) :args _let_181)) _let_762 :args (_let_808 true _let_215)))) (let ((_let_811 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_807 1)) _let_810 :args ((not _let_173) true _let_807)))) (let ((_let_812 (MACRO_RESOLUTION_TRUST _let_340 _let_803 :args (_let_21 false _let_24)))) (let ((_let_813 (MACRO_RESOLUTION_TRUST _let_341 _let_812 _let_804 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_173 _let_178 _let_179 (not _let_180)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_807 2)) (CONG (REFL :args (_let_807)) (MACRO_SR_PRED_INTRO :args ((= (not _let_178) _let_177))) :args _let_181)) :args ((or _let_177 _let_807))) _let_810 :args (_let_177 true _let_807)) _let_811 (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_174 _let_173 _let_175 (not _let_176)))) _let_811 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_807 0)) _let_810 :args ((not _let_174) true _let_807)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_677)) :args _let_330)) (MACRO_RESOLUTION_TRUST _let_716 _let_661 _let_660 _let_659 _let_720 _let_657 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_710 (= X46 X69)))) (AND_ELIM _let_308 :args (93)) _let_311 (AND_ELIM _let_308 :args (76)) _let_311 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_170 (= X21 X97)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_170 (= X21 X71)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_172 (= X70 X96)))) :args ((or _let_170 _let_172) true _let_88 true _let_90 false _let_92 false _let_713 false _let_93 false _let_710 false tptp.hskp10 false tptp.ndr1_0 false (forall ((X69 $$unsorted)) (or (tptp.c1_1 X69) (tptp.c3_1 X69) (not (tptp.c0_1 X69)))) false tptp.ndr1_0 true (forall ((X97 $$unsorted)) (or (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97)))) true (forall ((X71 $$unsorted)) (or (not (tptp.c1_1 X71)) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71)))) true (forall ((X96 $$unsorted)) (or (tptp.c3_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c1_1 X96)))))) _let_680 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_775 :args (tptp.a2455 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_774)) :args _let_773)) _let_681 _let_311 (MACRO_RESOLUTION_TRUST _let_679 (MACRO_RESOLUTION_TRUST _let_638 (MACRO_RESOLUTION_TRUST _let_637 _let_806 :args (_let_632 false _let_65)) :args (_let_748 true _let_255)) :args ((not _let_168) true _let_195)) (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_158 _let_166 _let_163 (not _let_167)))) _let_805 _let_804 _let_186 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_164 1)) (CONG (REFL :args _let_182) (MACRO_SR_PRED_INTRO :args ((= (not _let_163) _let_159))) :args _let_181)) :args ((or _let_159 _let_164))) :args (_let_164 false _let_177 true _let_173 false _let_175 true _let_173 true _let_174 false _let_180 false _let_176 false _let_172 false _let_171 true _let_170 false _let_169 false tptp.ndr1_0 true _let_168 true _let_167 false _let_22 false _let_23 true _let_165 false _let_159)) :args (_let_163 true _let_20 false _let_23 false _let_164)))) (let ((_let_814 (tptp.c0_1 tptp.a2422))) (let ((_let_815 (or _let_814 _let_61 _let_254))) (let ((_let_816 (not _let_815))) (let ((_let_817 (not _let_814))) (let ((_let_818 (or _let_817 _let_254 _let_253))) (let ((_let_819 (MACRO_RESOLUTION_TRUST _let_611 (MACRO_RESOLUTION_TRUST _let_613 _let_311 (MACRO_RESOLUTION_TRUST _let_612 (MACRO_RESOLUTION_TRUST _let_738 (MACRO_RESOLUTION_TRUST _let_740 _let_804 _let_805 _let_813 :args (_let_739 false _let_23 false _let_22 true _let_159)) :args ((not _let_223) true _let_736)) :args ((not _let_604) true _let_223)) _let_802 :args (_let_603 false tptp.ndr1_0 true _let_604 true _let_242)) :args (_let_202 false _let_603)))) (let ((_let_820 (MACRO_RESOLUTION_TRUST _let_634 _let_806 :args (_let_64 false _let_65)))) (let ((_let_821 (_let_152))) (let ((_let_822 (not _let_156))) (let ((_let_823 (not _let_140))) (let ((_let_824 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_308 :args (29)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_136 _let_155 _let_154 _let_822))) (REORDERING (CNF_AND_POS :args (_let_140 3)) :args ((or _let_137 _let_823))) (REORDERING (CNF_AND_POS :args (_let_140 2)) :args ((or _let_138 _let_823))) (REORDERING (CNF_AND_POS :args (_let_140 1)) :args ((or _let_139 _let_823))) :args ((or _let_823 _let_822) true _let_136 false _let_138 false _let_139)) (AND_ELIM _let_308 :args (0)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_821) :args (tptp.a2402 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X16) true))))) :args _let_821)) (REORDERING (AND_ELIM _let_308 :args (53)) :args ((or tptp.hskp0 tptp.hskp29 _let_313 _let_153))) _let_311 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_392 (= X31 X36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (tptp.a2422 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_793)) :args _let_411)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_815)) :args ((or _let_61 _let_254 _let_814 _let_816))) (MACRO_RESOLUTION_TRUST _let_636 _let_806 :args (_let_62 false _let_65)) _let_820 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_818)) :args ((or _let_254 _let_253 _let_817 (not _let_818)))) _let_820 (MACRO_RESOLUTION_TRUST _let_635 _let_806 :args (_let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (tptp.a2422 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_819 :args (_let_818 false _let_202)) :args (_let_817 false _let_64 false _let_63 false _let_818)) :args (_let_816 true _let_61 false _let_64 true _let_814)) :args ((not _let_392) true _let_815)) :args ((not _let_153) true _let_392)) (AND_ELIM _let_308 :args (41)) _let_311 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_157 (= V X15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a2455 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_20 _let_158 _let_159 _let_162))) _let_812 _let_804 _let_813 :args (_let_162 true _let_20 false _let_23 true _let_159)) :args (_let_161 true _let_160)) :args ((not _let_151) true _let_157)) :args (tptp.hskp29 false _let_140 false _let_156 false tptp.hskp0 false tptp.ndr1_0 true _let_153 false _let_152 false tptp.ndr1_0 true _let_151)) :args (_let_8 false tptp.hskp29)))) (let ((_let_825 (not _let_8))) (let ((_let_826 (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_825))))) (let ((_let_827 (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_825))))) (let ((_let_828 (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_825))))) (let ((_let_829 (_let_144))) (let ((_let_830 (tptp.c1_1 tptp.a2409))) (let ((_let_831 (or _let_830 _let_148 _let_147))) (let ((_let_832 (not _let_831))) (let ((_let_833 (not _let_830))) (let ((_let_834 (or _let_148 _let_833 _let_146))) (let ((_let_835 (MACRO_RESOLUTION_TRUST _let_826 _let_824 :args (_let_7 false _let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_143 (= W X80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_725 :args (tptp.a2409 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_724)) :args _let_723)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_831)) :args ((or _let_148 _let_147 _let_830 _let_832))) _let_835 (MACRO_RESOLUTION_TRUST _let_827 _let_824 :args (_let_6 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_834)) :args ((or _let_148 _let_146 _let_833 (not _let_834)))) _let_835 (MACRO_RESOLUTION_TRUST _let_828 _let_824 :args (_let_5 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (tptp.a2409 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_819 :args (_let_834 false _let_202)) :args (_let_833 false _let_7 false _let_5 false _let_834)) :args (_let_832 false _let_7 false _let_6 true _let_830)) :args ((not _let_143) true _let_831)) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_308 :args (82)) _let_311 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_215 (= X6 X81)))) _let_762 :args ((not _let_145) true _let_215)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_829) :args (tptp.a2409 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X82) false))))) :args _let_829)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_148 _let_147 _let_146 _let_150))) _let_828 _let_827 _let_826 :args ((or _let_825 _let_150) false _let_5 false _let_6 false _let_7)) _let_824 :args (_let_150 false _let_8)) :args ((not _let_144) true _let_149)) :args (_let_142 false tptp.ndr1_0 true _let_145 true _let_144)) :args (false true _let_143 false _let_142)) :args (_let_141 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.51/0.79  )
% 0.51/0.79  % SZS output end Proof for SYN488+1
% 0.51/0.79  % cvc5---1.0.5 exiting
% 0.51/0.80  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------