TSTP Solution File: SYN467+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN467+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 02:03:26 EDT 2023

% Result   : Theorem 0.58s 0.77s
% Output   : Proof 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN467+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n002.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 20:41:33 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.58/0.77  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1XptG3XqjM/cvc5---1.0.5_25850.p...
% 0.58/0.77  ------- get file name : TPTP file name is SYN467+1
% 0.58/0.77  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25850.smt2...
% 0.58/0.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.58/0.77  % SZS status Theorem for SYN467+1
% 0.58/0.77  % SZS output start Proof for SYN467+1
% 0.58/0.77  (
% 0.58/0.77  (let ((_let_1 (tptp.c3_1 tptp.a230))) (let ((_let_2 (tptp.c2_1 tptp.a230))) (let ((_let_3 (tptp.c0_1 tptp.a230))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a227))) (let ((_let_6 (tptp.c1_1 tptp.a227))) (let ((_let_7 (tptp.c0_1 tptp.a227))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c2_1 tptp.a198))) (let ((_let_10 (tptp.c1_1 tptp.a198))) (let ((_let_11 (tptp.c0_1 tptp.a198))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (not tptp.hskp27))) (let ((_let_14 (tptp.c3_1 tptp.a281))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c2_1 tptp.a281))) (let ((_let_17 (tptp.c1_1 tptp.a281))) (let ((_let_18 (and tptp.ndr1_0 _let_17 _let_16 _let_15))) (let ((_let_19 (and tptp.ndr1_0 (tptp.c0_1 tptp.a249) (tptp.c3_1 tptp.a249) (not (tptp.c2_1 tptp.a249))))) (let ((_let_20 (tptp.c3_1 tptp.a248))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c2_1 tptp.a248))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.c0_1 tptp.a248))) (let ((_let_25 (not _let_24))) (let ((_let_26 (and tptp.ndr1_0 _let_25 _let_23 _let_21))) (let ((_let_27 (tptp.c2_1 tptp.a244))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c0_1 tptp.a244))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c3_1 tptp.a244))) (let ((_let_32 (and tptp.ndr1_0 _let_31 _let_30 _let_28))) (let ((_let_33 (tptp.c3_1 tptp.a241))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c1_1 tptp.a241))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.c0_1 tptp.a241))) (let ((_let_38 (and tptp.ndr1_0 _let_37 _let_36 _let_34))) (let ((_let_39 (tptp.c3_1 tptp.a239))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c0_1 tptp.a239))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.c2_1 tptp.a239))) (let ((_let_44 (and tptp.ndr1_0 _let_43 _let_42 _let_40))) (let ((_let_45 (tptp.c2_1 tptp.a238))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c3_1 tptp.a238))) (let ((_let_48 (tptp.c1_1 tptp.a238))) (let ((_let_49 (and tptp.ndr1_0 _let_48 _let_47 _let_46))) (let ((_let_50 (tptp.c3_1 tptp.a233))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.c2_1 tptp.a233))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.c1_1 tptp.a233))) (let ((_let_55 (not _let_54))) (let ((_let_56 (and tptp.ndr1_0 _let_55 _let_53 _let_51))) (let ((_let_57 (tptp.c2_1 tptp.a232))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.c1_1 tptp.a232))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.c3_1 tptp.a232))) (let ((_let_62 (and tptp.ndr1_0 _let_61 _let_60 _let_58))) (let ((_let_63 (tptp.c1_1 tptp.a228))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.c2_1 tptp.a228))) (let ((_let_66 (tptp.c0_1 tptp.a228))) (let ((_let_67 (and tptp.ndr1_0 _let_66 _let_65 _let_64))) (let ((_let_68 (tptp.c0_1 tptp.a219))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c3_1 tptp.a219))) (let ((_let_71 (tptp.c2_1 tptp.a219))) (let ((_let_72 (and tptp.ndr1_0 _let_71 _let_70 _let_69))) (let ((_let_73 (tptp.c3_1 tptp.a217))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c2_1 tptp.a217))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.c0_1 tptp.a217))) (let ((_let_78 (and tptp.ndr1_0 _let_77 _let_76 _let_74))) (let ((_let_79 (tptp.c3_1 tptp.a216))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.c1_1 tptp.a216))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.c0_1 tptp.a216))) (let ((_let_84 (not _let_83))) (let ((_let_85 (and tptp.ndr1_0 _let_84 _let_82 _let_80))) (let ((_let_86 (tptp.c3_1 tptp.a214))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.c2_1 tptp.a214))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.c1_1 tptp.a214))) (let ((_let_91 (and tptp.ndr1_0 _let_90 _let_89 _let_87))) (let ((_let_92 (tptp.c2_1 tptp.a213))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c1_1 tptp.a213))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.c0_1 tptp.a213))) (let ((_let_97 (not _let_96))) (let ((_let_98 (and tptp.ndr1_0 _let_97 _let_95 _let_93))) (let ((_let_99 (tptp.c1_1 tptp.a212))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.c3_1 tptp.a212))) (let ((_let_102 (tptp.c0_1 tptp.a212))) (let ((_let_103 (and tptp.ndr1_0 _let_102 _let_101 _let_100))) (let ((_let_104 (tptp.c3_1 tptp.a209))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c1_1 tptp.a209))) (let ((_let_107 (tptp.c0_1 tptp.a209))) (let ((_let_108 (and tptp.ndr1_0 _let_107 _let_106 _let_105))) (let ((_let_109 (tptp.c2_1 tptp.a208))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c1_1 tptp.a208))) (let ((_let_112 (tptp.c0_1 tptp.a208))) (let ((_let_113 (and tptp.ndr1_0 _let_112 _let_111 _let_110))) (let ((_let_114 (and tptp.ndr1_0 (tptp.c1_1 tptp.a204) (not (tptp.c0_1 tptp.a204)) (not (tptp.c2_1 tptp.a204))))) (let ((_let_115 (tptp.c3_1 tptp.a203))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.c0_1 tptp.a203))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.c1_1 tptp.a203))) (let ((_let_120 (and tptp.ndr1_0 _let_119 _let_118 _let_116))) (let ((_let_121 (tptp.c1_1 tptp.a199))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.c0_1 tptp.a199))) (let ((_let_124 (not _let_123))) (let ((_let_125 (tptp.c3_1 tptp.a199))) (let ((_let_126 (and tptp.ndr1_0 _let_125 _let_124 _let_122))) (let ((_let_127 (not (not (and (or (not tptp.hskp0) _let_126) (or (not tptp.hskp1) (and tptp.ndr1_0 (tptp.c0_1 tptp.a200) (not (tptp.c1_1 tptp.a200)) (not (tptp.c2_1 tptp.a200)))) (or (not tptp.hskp2) (and tptp.ndr1_0 (tptp.c2_1 tptp.a201) (not (tptp.c0_1 tptp.a201)) (not (tptp.c1_1 tptp.a201)))) (or (not tptp.hskp3) _let_120) (or (not tptp.hskp4) _let_114) (or (not tptp.hskp5) (and tptp.ndr1_0 (tptp.c2_1 tptp.a205) (tptp.c3_1 tptp.a205) (not (tptp.c1_1 tptp.a205)))) (or (not tptp.hskp6) _let_113) (or (not tptp.hskp7) _let_108) (or (not tptp.hskp8) _let_103) (or (not tptp.hskp9) _let_98) (or (not tptp.hskp10) _let_91) (or (not tptp.hskp11) _let_85) (or (not tptp.hskp12) _let_78) (or (not tptp.hskp13) (and tptp.ndr1_0 (tptp.c1_1 tptp.a218) (tptp.c3_1 tptp.a218) (not (tptp.c0_1 tptp.a218)))) (or (not tptp.hskp14) _let_72) (or (not tptp.hskp15) _let_67) (or (not tptp.hskp16) (and tptp.ndr1_0 (tptp.c2_1 tptp.a231) (not (tptp.c1_1 tptp.a231)) (not (tptp.c3_1 tptp.a231)))) (or (not tptp.hskp17) _let_62) (or (not tptp.hskp18) _let_56) (or (not tptp.hskp19) _let_49) (or (not tptp.hskp20) _let_44) (or (not tptp.hskp21) _let_38) (or (not tptp.hskp22) _let_32) (or (not tptp.hskp23) _let_26) (or (not tptp.hskp24) _let_19) (or (not tptp.hskp25) (and tptp.ndr1_0 (tptp.c1_1 tptp.a256) (tptp.c2_1 tptp.a256) (not (tptp.c0_1 tptp.a256)))) (or (not tptp.hskp26) _let_18) (or _let_13 _let_12) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c1_1 tptp.a202) (tptp.c2_1 tptp.a202) (tptp.c3_1 tptp.a202))) (or (not tptp.hskp29) _let_8) (or (not tptp.hskp30) _let_4) (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 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 W) (not (tptp.c0_1 W)) (not (tptp.c1_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c2_1 Y) (not (tptp.c1_1 Y))))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 Z)) (not (tptp.c1_1 Z)) (not (tptp.c3_1 Z)))))) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) tptp.hskp27 tptp.hskp0) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c2_1 X2)))) tptp.hskp1 tptp.hskp2) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3)))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c2_1 X4) (tptp.c3_1 X4)))) tptp.hskp28) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c3_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X6) (tptp.c2_1 X6) (not (tptp.c0_1 X6))))) tptp.hskp3) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (tptp.c3_1 X7)))) tptp.hskp4 tptp.hskp5) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (not (tptp.c2_1 X8))))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c3_1 X9) (not (tptp.c1_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c3_1 X10)))))) (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.c2_1 X12) (not (tptp.c0_1 X12)) (not (tptp.c1_1 X12))))) tptp.hskp3) (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.c2_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c3_1 X14))))) tptp.hskp0) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) tptp.hskp6 tptp.hskp7) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c2_1 X17) (not (tptp.c1_1 X17))))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (not (tptp.c2_1 X18)) (not (tptp.c3_1 X18)))))) (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.c3_1 X20) (not (tptp.c1_1 X20))))) tptp.hskp4) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c1_1 X21) (not (tptp.c3_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X22) (not (tptp.c0_1 X22)) (not (tptp.c1_1 X22))))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X23) (not (tptp.c1_1 X23)) (not (tptp.c3_1 X23)))))) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24)))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c3_1 X25) (not (tptp.c2_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X26) (not (tptp.c0_1 X26)) (not (tptp.c1_1 X26)))))) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (tptp.c3_1 X27)))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c2_1 X28))))) tptp.hskp0) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (tptp.c3_1 X29)))) tptp.hskp8 tptp.hskp9) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c2_1 X30) (not (tptp.c1_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X31) (tptp.c3_1 X31) (not (tptp.c0_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X32)) (not (tptp.c1_1 X32)) (not (tptp.c2_1 X32)))))) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c3_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c2_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X35) (tptp.c3_1 X35) (not (tptp.c2_1 X35)))))) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X37) (tptp.c2_1 X37) (not (tptp.c3_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X38) (not (tptp.c0_1 X38)) (not (tptp.c2_1 X38)))))) (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.c2_1 X40) (tptp.c3_1 X40) (not (tptp.c1_1 X40))))) tptp.hskp10) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c3_1 X41) (not (tptp.c1_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (not (tptp.c1_1 X42)) (not (tptp.c2_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X43)) (not (tptp.c2_1 X43)) (not (tptp.c3_1 X43)))))) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (tptp.c3_1 X44) (not (tptp.c1_1 X44))))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X45)) (not (tptp.c1_1 X45)) (not (tptp.c2_1 X45))))) tptp.hskp10) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (tptp.c3_1 X46) (not (tptp.c1_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X47)) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47))))) tptp.hskp11) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X49)) (not (tptp.c2_1 X49)) (not (tptp.c3_1 X49))))) tptp.hskp12) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X50) (tptp.c3_1 X50) (not (tptp.c2_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X51) (not (tptp.c0_1 X51)) (not (tptp.c1_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X52)) (not (tptp.c1_1 X52)) (not (tptp.c2_1 X52)))))) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c2_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (not (tptp.c2_1 X54)) (not (tptp.c3_1 X54))))) tptp.hskp13) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c1_1 X55)) (not (tptp.c2_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X56) (not (tptp.c0_1 X56)) (not (tptp.c3_1 X56))))) tptp.hskp14) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (not (tptp.c1_1 X57)) (not (tptp.c2_1 X57))))) tptp.hskp6 tptp.hskp1) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (not (tptp.c1_1 X58)) (not (tptp.c2_1 X58))))) tptp.hskp8 tptp.hskp14) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (not (tptp.c1_1 X59)) (not (tptp.c3_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (tptp.c3_1 X60) (not (tptp.c0_1 X60))))) tptp.hskp5) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X61) (not (tptp.c1_1 X61)) (not (tptp.c3_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X62) (not (tptp.c1_1 X62)) (not (tptp.c3_1 X62))))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X63)) (not (tptp.c1_1 X63)) (not (tptp.c2_1 X63)))))) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X64) (not (tptp.c1_1 X64)) (not (tptp.c3_1 X64))))) tptp.hskp6 tptp.hskp14) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X65) (not (tptp.c2_1 X65)) (not (tptp.c3_1 X65))))) tptp.hskp29 tptp.hskp15) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c2_1 X66) (tptp.c3_1 X66)))) tptp.hskp27) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c2_1 X67) (tptp.c3_1 X67)))) tptp.hskp30 tptp.hskp16) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (tptp.c2_1 X68) (tptp.c3_1 X68)))) tptp.hskp17 tptp.hskp18) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c2_1 X69) (not (tptp.c0_1 X69))))) tptp.hskp27 tptp.hskp12) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X70) (tptp.c2_1 X70) (not (tptp.c0_1 X70))))) tptp.hskp15 tptp.hskp1) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (tptp.c2_1 X71) (not (tptp.c0_1 X71))))) tptp.hskp19 tptp.hskp20) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c2_1 X72) (not (tptp.c3_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (tptp.c3_1 X73) (not (tptp.c2_1 X73))))) tptp.hskp17) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (tptp.c2_1 X74) (not (tptp.c3_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (not (tptp.c2_1 X75)) (not (tptp.c3_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X76) (not (tptp.c0_1 X76)) (not (tptp.c1_1 X76)))))) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X77) (tptp.c2_1 X77) (not (tptp.c3_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X78) (not (tptp.c1_1 X78)) (not (tptp.c2_1 X78))))) tptp.hskp21) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X79) (tptp.c3_1 X79) (not (tptp.c0_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X80) (not (tptp.c1_1 X80)) (not (tptp.c3_1 X80))))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X81) (not (tptp.c1_1 X81)) (not (tptp.c2_1 X81)))))) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (tptp.c3_1 X82) (not (tptp.c2_1 X82))))) (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c3_1 X83))))) tptp.hskp17) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X84) (tptp.c3_1 X84) (not (tptp.c2_1 X84))))) tptp.hskp3 tptp.hskp22) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X85) (not (tptp.c0_1 X85)) (not (tptp.c2_1 X85))))) tptp.hskp1 tptp.hskp14) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (not (tptp.c0_1 X86)) (not (tptp.c3_1 X86))))) tptp.hskp30 tptp.hskp23) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (not (tptp.c0_1 X87)) (not (tptp.c3_1 X87))))) tptp.hskp24 tptp.hskp22) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X88) (tptp.c3_1 X88) (not (tptp.c0_1 X88))))) tptp.hskp0 tptp.hskp18) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X89) (tptp.c3_1 X89) (not (tptp.c1_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X90) (not (tptp.c1_1 X90)) (not (tptp.c3_1 X90))))) (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X91) (not (tptp.c1_1 X91)) (not (tptp.c2_1 X91)))))) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c1_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X93)) (not (tptp.c2_1 X93)) (not (tptp.c3_1 X93))))) tptp.hskp3) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X94) (not (tptp.c0_1 X94)) (not (tptp.c3_1 X94))))) tptp.hskp29 tptp.hskp18) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c3_1 X95))))) tptp.hskp25 tptp.hskp19) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X96) (not (tptp.c1_1 X96)) (not (tptp.c3_1 X96))))) tptp.hskp6 tptp.hskp15) (or (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X97) (not (tptp.c1_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp21) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X98) (not (tptp.c1_1 X98)) (not (tptp.c2_1 X98))))) tptp.hskp27 tptp.hskp19) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X99) (not (tptp.c1_1 X99)) (not (tptp.c2_1 X99))))) tptp.hskp14 tptp.hskp17) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X100)) (not (tptp.c1_1 X100)) (not (tptp.c3_1 X100))))) tptp.hskp7 tptp.hskp24) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X101)) (not (tptp.c1_1 X101)) (not (tptp.c3_1 X101))))) tptp.hskp8 tptp.hskp11) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X102)) (not (tptp.c1_1 X102)) (not (tptp.c3_1 X102))))) tptp.hskp10 tptp.hskp9) (or tptp.hskp27 tptp.hskp24 tptp.hskp4) (or tptp.hskp6 tptp.hskp10 tptp.hskp20) (or tptp.hskp6 tptp.hskp9) (or tptp.hskp15 tptp.hskp8 tptp.hskp26) (or tptp.hskp8 tptp.hskp13 tptp.hskp18) (or tptp.hskp8 tptp.hskp14 tptp.hskp22) (or tptp.hskp24 tptp.hskp4 tptp.hskp18)))))) (let ((_let_128 (forall ((X28 $$unsorted)) (or (tptp.c3_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c2_1 X28)))))) (let ((_let_129 (forall ((X78 $$unsorted)) (or (tptp.c3_1 X78) (not (tptp.c1_1 X78)) (not (tptp.c2_1 X78)))))) (let ((_let_130 (forall ((X81 $$unsorted)) (or (tptp.c3_1 X81) (not (tptp.c1_1 X81)) (not (tptp.c2_1 X81)))))) (let ((_let_131 (forall ((X98 $$unsorted)) (or (tptp.c3_1 X98) (not (tptp.c1_1 X98)) (not (tptp.c2_1 X98)))))) (let ((_let_132 (forall ((X97 $$unsorted)) (or (tptp.c2_1 X97) (not (tptp.c1_1 X97)) (not (tptp.c3_1 X97)))))) (let ((_let_133 (forall ((X14 $$unsorted)) (or (tptp.c2_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c3_1 X14)))))) (let ((_let_134 (not _let_47))) (let ((_let_135 (not _let_48))) (let ((_let_136 (or _let_45 _let_135 _let_134))) (let ((_let_137 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_138 (not _let_137))) (let ((_let_139 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_140 (not _let_139))) (let ((_let_141 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_142 (or _let_141 _let_140 _let_138))) (let ((_let_143 (not _let_9))) (let ((_let_144 (not _let_10))) (let ((_let_145 (not _let_11))) (let ((_let_146 (or _let_145 _let_144 _let_143))) (let ((_let_147 (forall ((X32 $$unsorted)) (or (not (tptp.c0_1 X32)) (not (tptp.c1_1 X32)) (not (tptp.c2_1 X32)))))) (let ((_let_148 (forall ((X45 $$unsorted)) (or (not (tptp.c0_1 X45)) (not (tptp.c1_1 X45)) (not (tptp.c2_1 X45)))))) (let ((_let_149 (forall ((X63 $$unsorted)) (or (not (tptp.c0_1 X63)) (not (tptp.c1_1 X63)) (not (tptp.c2_1 X63)))))) (let ((_let_150 (forall ((X12 $$unsorted)) (or (tptp.c2_1 X12) (not (tptp.c0_1 X12)) (not (tptp.c1_1 X12)))))) (let ((_let_151 (not _let_111))) (let ((_let_152 (not _let_112))) (let ((_let_153 (or _let_109 _let_152 _let_151))) (let ((_let_154 (not _let_90))) (let ((_let_155 (tptp.c0_1 tptp.a214))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_88 _let_156 _let_154))) (let ((_let_158 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_159 (not _let_158))) (let ((_let_160 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_161 (not _let_160))) (let ((_let_162 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_163 (or _let_162 _let_161 _let_159))) (let ((_let_164 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c2_1 V)))))) (let ((_let_165 (tptp.c2_1 tptp.a199))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_123 _let_121 _let_166))) (let ((_let_168 (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c3_1 X9) (not (tptp.c1_1 X9)))))) (let ((_let_169 (forall ((X44 $$unsorted)) (or (tptp.c0_1 X44) (tptp.c3_1 X44) (not (tptp.c1_1 X44)))))) (let ((_let_170 (or _let_88 _let_86 _let_154))) (let ((_let_171 (forall ((X40 $$unsorted)) (or (tptp.c2_1 X40) (tptp.c3_1 X40) (not (tptp.c1_1 X40)))))) (let ((_let_172 (or _let_155 _let_88 _let_86))) (let ((_let_173 (or _let_162 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29) _let_159))) (let ((_let_174 (forall ((X4 $$unsorted)) (or (tptp.c0_1 X4) (tptp.c2_1 X4) (tptp.c3_1 X4))))) (let ((_let_175 (or _let_160 _let_162 _let_159))) (let ((_let_176 (forall ((X27 $$unsorted)) (or (tptp.c0_1 X27) (tptp.c2_1 X27) (tptp.c3_1 X27))))) (let ((_let_177 (forall ((Y $$unsorted)) (or (tptp.c0_1 Y) (tptp.c2_1 Y) (not (tptp.c1_1 Y)))))) (let ((_let_178 (forall ((X17 $$unsorted)) (or (tptp.c0_1 X17) (tptp.c2_1 X17) (not (tptp.c1_1 X17)))))) (let ((_let_179 (forall ((X30 $$unsorted)) (or (tptp.c0_1 X30) (tptp.c2_1 X30) (not (tptp.c1_1 X30)))))) (let ((_let_180 (forall ((X31 $$unsorted)) (or (tptp.c2_1 X31) (tptp.c3_1 X31) (not (tptp.c0_1 X31)))))) (let ((_let_181 (not _let_125))) (let ((_let_182 (or _let_123 _let_165 _let_181))) (let ((_let_183 (not _let_37))) (let ((_let_184 (tptp.c2_1 tptp.a241))) (let ((_let_185 (or _let_184 _let_33 _let_183))) (let ((_let_186 (forall ((X33 $$unsorted)) (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c3_1 X33)))))) (let ((_let_187 (or _let_35 _let_184 _let_183))) (let ((_let_188 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_128 (= X28 X78)))))) (let ((_let_189 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_128 (= X28 X81)))))) (let ((_let_190 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_128 (= X28 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 Y) true))))) :args _let_300)))) (let ((_let_499 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_177 (= Y X17)))))) (let ((_let_500 (or _let_123 _let_121 _let_181))) (let ((_let_501 (not _let_61))) (let ((_let_502 (or _let_59 _let_57 _let_501))) (let ((_let_503 (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16)))))) (let ((_let_504 (forall ((X18 $$unsorted)) (or (tptp.c0_1 X18) (not (tptp.c2_1 X18)) (not (tptp.c3_1 X18)))))) (let ((_let_505 (not _let_70))) (let ((_let_506 (not _let_71))) (let ((_let_507 (or _let_68 _let_506 _let_505))) (let ((_let_508 (not _let_500))) (let ((_let_509 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_500)) :args ((or _let_123 _let_121 _let_181 _let_508))) _let_420 _let_419 _let_418 :args ((or _let_417 _let_508) true _let_121 true _let_123 false _let_125)))) (let ((_let_510 ((not (= (tptp.c1_1 X37) true))))) (let ((_let_511 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.a232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_510)) :args _let_398)))) (let ((_let_512 (_let_503))) (let ((_let_513 ((not (= (tptp.c0_1 X16) true))))) (let ((_let_514 (ASSUME :args _let_512))) (let ((_let_515 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a199 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)))) (let ((_let_516 (not _let_502))) (let ((_let_517 (not _let_62))) (let ((_let_518 (REORDERING (CNF_AND_POS :args (_let_62 1)) :args ((or _let_61 _let_517))))) (let ((_let_519 (REORDERING (CNF_AND_POS :args (_let_62 2)) :args ((or _let_60 _let_517))))) (let ((_let_520 (REORDERING (CNF_AND_POS :args (_let_62 3)) :args ((or _let_58 _let_517))))) (let ((_let_521 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_502)) :args ((or _let_59 _let_57 _let_501 _let_516))) _let_520 _let_519 _let_518 :args ((or _let_517 _let_516) true _let_57 true _let_59 false _let_61)))) (let ((_let_522 (AND_ELIM _let_195 :args (42)))) (let ((_let_523 (AND_ELIM _let_195 :args (17)))) (let ((_let_524 (_let_504))) (let ((_let_525 ((not (= (tptp.c0_1 X18) true))))) (let ((_let_526 (ASSUME :args _let_524))) (let ((_let_527 (not _let_72))) (let ((_let_528 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_507)) :args ((or _let_68 _let_506 _let_505 (not _let_507)))) (REORDERING (CNF_AND_POS :args (_let_72 3)) :args ((or _let_69 _let_527))) (REORDERING (CNF_AND_POS :args (_let_72 2)) :args ((or _let_70 _let_527))) (REORDERING (CNF_AND_POS :args (_let_72 1)) :args ((or _let_71 _let_527))) (AND_ELIM _let_195 :args (14)) (AND_ELIM _let_195 :args (88)) _let_197 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_526 :args (tptp.a219 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_524)) _let_523 _let_522 _let_197 _let_521 _let_515 _let_511 _let_509 _let_408 _let_422 _let_409 _let_197 _let_423 _let_197 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_128 (= X28 X99)))) _let_188 :args ((or tptp.hskp21 _let_178 _let_176 _let_128) true _let_68 false _let_70 false _let_71 false _let_72 false tptp.hskp14 false tptp.ndr1_0 false _let_507 true tptp.hskp17 false _let_504 false tptp.ndr1_0 true _let_62 true _let_503 false _let_502 true _let_500 false _let_384 false _let_126 false _let_385 false tptp.ndr1_0 false tptp.hskp0 false tptp.ndr1_0 true (forall ((X99 $$unsorted)) (or (tptp.c3_1 X99) (not (tptp.c1_1 X99)) (not (tptp.c2_1 X99)))) true _let_129)))) (let ((_let_529 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_187 1)) :args ((or _let_381 _let_187))) _let_411 (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_33 _let_183 _let_184 (not _let_185)))) _let_203 _let_201 _let_415 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_345 :args (tptp.a241 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_344)) :args _let_343)) _let_199 _let_421 _let_339 _let_197 _let_528 _let_422 _let_303 _let_499 _let_423 _let_197 _let_498 _let_425 _let_497 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (tptp.a214 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_428)) :args _let_427)) _let_494 (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_88 _let_86 _let_155 (not _let_172)))) _let_491 _let_484 _let_488 _let_482 _let_481 _let_480 _let_478 _let_486 _let_197 _let_485 (MACRO_RESOLUTION_TRUST _let_484 _let_483 _let_482 _let_481 _let_480 _let_478 _let_477 _let_436 (MACRO_RESOLUTION_TRUST _let_444 _let_442 _let_440 _let_439 _let_438 :args ((or _let_437 _let_443 _let_441) false _let_252 true _let_39 true _let_41 false _let_43)) _let_476 _let_352 _let_367 _let_473 :args ((or tptp.hskp6 _let_292 _let_475) false _let_155 true _let_86 true _let_88 false _let_90 false _let_91 false tptp.hskp10 true tptp.hskp20 true _let_44 false _let_474 false _let_254 false _let_258 false _let_164)) _let_366 _let_473 _let_454 _let_453 _let_450 _let_449 _let_448 (MACRO_RESOLUTION_TRUST _let_444 _let_442 _let_440 _let_439 _let_438 _let_436 _let_435 _let_197 _let_434 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_371)) :args ((or _let_52 _let_50 _let_368 (not _let_371)))) (REORDERING (CNF_OR_POS :args (_let_370)) :args ((or _let_54 _let_52 _let_369 (not _let_370)))) _let_433 _let_432 _let_431 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (tptp.a233 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_428)) :args _let_427)) _let_426 _let_425 _let_424 _let_197 _let_423 _let_197 _let_422 _let_421 _let_415 _let_411 _let_377 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (tptp.a233 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) _let_227 _let_225 _let_223 _let_221 _let_220 _let_222 _let_196 _let_219 _let_190 _let_197 _let_217 _let_216 _let_212 _let_213 _let_208 _let_207 _let_189 _let_188 :args ((or _let_128 _let_255 _let_373 _let_372) true _let_368 true _let_50 true _let_52 true _let_54 false _let_371 false _let_56 false _let_174 false tptp.hskp18 false tptp.ndr1_0 false _let_176 false tptp.ndr1_0 true tptp.hskp0 true _let_126 false _let_182 false _let_186 false _let_187 false _let_370 true _let_149 true _let_147 true _let_146 false _let_10 false _let_11 false _let_9 false _let_12 false tptp.hskp27 true _let_131 false tptp.ndr1_0 true tptp.hskp19 true _let_49 false _let_136 false _let_142 false _let_133 false _let_132 true _let_130 true _let_129)) _let_367 _let_366 _let_362 _let_361 _let_197 _let_360 _let_359 _let_353 _let_352 _let_351 _let_346 _let_347 _let_281 _let_280 _let_279 _let_275 _let_273 _let_272 _let_271 _let_269 _let_268 _let_197 _let_267 _let_263 _let_262 _let_225 _let_223 _let_221 _let_220 _let_222 _let_261 _let_196 _let_219 _let_190 _let_197 _let_217 _let_216 _let_212 _let_208 _let_207 _let_189 :args ((or _let_150 _let_128) false _let_252 true _let_39 true _let_41 false _let_43 false _let_44 false tptp.hskp20 false tptp.ndr1_0 true _let_260 true _let_259 false _let_258 false _let_167 false _let_164 false _let_256 false tptp.ndr1_0 true tptp.hskp3 true _let_120 true _let_255 false _let_254 false _let_251 true _let_180 false _let_168 true _let_249 false _let_248 false _let_243 true _let_228 false _let_240 false _let_230 false _let_236 true _let_232 false _let_239 false tptp.ndr1_0 true _let_238 true _let_235 true _let_234 true _let_147 true _let_146 false _let_10 false _let_11 false _let_9 false _let_233 false _let_12 false tptp.hskp27 true _let_131 false tptp.ndr1_0 true tptp.hskp19 true _let_49 false _let_136 false _let_133 false _let_132 true _let_130)) _let_227 _let_226 _let_225 _let_223 _let_222 _let_221 _let_220 _let_196 _let_219 _let_197 _let_217 _let_216 _let_213 _let_212 _let_208 _let_207 _let_190 _let_189 _let_188 :args (_let_128 true _let_187 false _let_184 true _let_33 false _let_37 true _let_186 false _let_185 false _let_38 true _let_182 false _let_180 false tptp.ndr1_0 false tptp.hskp21 false _let_126 true _let_179 true _let_178 false tptp.hskp0 false tptp.ndr1_0 true _let_177 true _let_176 true _let_175 true _let_174 true _let_173 true _let_172 true _let_171 true _let_155 true _let_170 true _let_86 true _let_88 false _let_90 false _let_91 false tptp.hskp10 false tptp.ndr1_0 true _let_169 true _let_168 false _let_167 false _let_164 true tptp.hskp6 true _let_113 false _let_163 false _let_157 false _let_153 false _let_150 true _let_149 true _let_148 true _let_147 true _let_146 false _let_9 false _let_10 false _let_11 false _let_12 false tptp.hskp27 false tptp.ndr1_0 true tptp.hskp19 true _let_49 false _let_142 false _let_136 false _let_133 false _let_132 true _let_131 true _let_130 true _let_129)))) (let ((_let_530 (or _let_39 _let_253 _let_257))) (let ((_let_531 (not _let_16))) (let ((_let_532 (not _let_17))) (let ((_let_533 (or _let_14 _let_532 _let_531))) (let ((_let_534 (or _let_246 _let_284 _let_245))) (let ((_let_535 (forall ((X66 $$unsorted)) (or (tptp.c1_1 X66) (tptp.c2_1 X66) (tptp.c3_1 X66))))) (let ((_let_536 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_537 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_538 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_539 (or _let_538 _let_537 _let_536))) (let ((_let_540 ((not (= (tptp.c3_1 X28) true))))) (let ((_let_541 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (tptp.a239 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_540)) :args _let_340)))) (let ((_let_542 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (tptp.a281 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_540)) :args _let_340)))) (let ((_let_543 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_540)) :args _let_340)))) (let ((_let_544 (not _let_533))) (let ((_let_545 (not _let_18))) (let ((_let_546 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_533)) :args ((or _let_14 _let_532 _let_531 _let_544))) (REORDERING (CNF_AND_POS :args (_let_18 3)) :args ((or _let_15 _let_545))) (REORDERING (CNF_AND_POS :args (_let_18 2)) :args ((or _let_16 _let_545))) (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_17 _let_545))) :args ((or _let_545 _let_544) true _let_14 false _let_16 false _let_17)))) (let ((_let_547 (AND_ELIM _let_195 :args (26)))) (let ((_let_548 (REORDERING (AND_ELIM _let_195 :args (95)) :args ((or tptp.hskp8 tptp.hskp15 tptp.hskp26))))) (let ((_let_549 (AND_ELIM _let_195 :args (8)))) (let ((_let_550 (not _let_103))) (let ((_let_551 (REORDERING (CNF_AND_POS :args (_let_103 1)) :args ((or _let_102 _let_550))))) (let ((_let_552 (REORDERING (CNF_AND_POS :args (_let_103 2)) :args ((or _let_101 _let_550))))) (let ((_let_553 (REORDERING (CNF_AND_POS :args (_let_103 3)) :args ((or _let_100 _let_550))))) (let ((_let_554 (forall ((X93 $$unsorted)) (or (not (tptp.c0_1 X93)) (not (tptp.c2_1 X93)) (not (tptp.c3_1 X93)))))) (let ((_let_555 (not _let_530))) (let ((_let_556 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_307 (= X43 X93)))))) (let ((_let_557 (REORDERING (CNF_OR_POS :args (_let_530)) :args ((or _let_39 _let_257 _let_253 _let_555))))) (let ((_let_558 (MACRO_RESOLUTION_TRUST _let_557 _let_442 _let_440 _let_439 _let_438 :args ((or _let_437 _let_441 _let_555) false _let_252 true _let_39 true _let_41 false _let_43)))) (let ((_let_559 (forall ((X92 $$unsorted)) (or (tptp.c2_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c1_1 X92)))))) (let ((_let_560 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_150 (= X12 X92)))))) (let ((_let_561 (AND_ELIM _let_195 :args (82)))) (let ((_let_562 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_351 _let_347 _let_359 _let_280 _let_279 _let_360 _let_273 _let_272 _let_561 _let_197 _let_268 _let_197 _let_267 _let_560 _let_263 _let_262 _let_225 _let_223 _let_221 _let_220 _let_222 :args ((or _let_150 _let_554 _let_194 _let_232 _let_237) false _let_168 true _let_251 false _let_248 false _let_243 false _let_120 false _let_240 false _let_230 false tptp.hskp3 false tptp.ndr1_0 false _let_239 false tptp.ndr1_0 true _let_238 true _let_559 true _let_235 true _let_234 true _let_147 true _let_146 false _let_10 false _let_11 false _let_9)) _let_271 _let_269 _let_267 (MACRO_RESOLUTION_TRUST _let_494 _let_497 _let_491 _let_498 _let_488 _let_325 _let_197 _let_478 _let_327 _let_477 _let_467 _let_436 _let_466 _let_558 _let_465 _let_464 _let_463 _let_367 _let_461 _let_473 _let_460 _let_454 _let_453 _let_450 _let_448 :args ((or _let_311 _let_265 _let_555) false _let_173 true _let_171 false _let_175 true _let_170 false _let_177 false tptp.ndr1_0 false _let_91 true _let_312 false tptp.hskp10 true _let_313 true tptp.hskp20 true _let_455 true _let_44 true _let_92 true _let_94 true _let_96 false _let_258 false _let_98 false _let_164 false tptp.hskp9 true tptp.hskp6 true _let_113 false _let_163 false _let_153)) _let_556 _let_324 _let_320 _let_318 _let_317 _let_316 _let_222 _let_221 _let_220 :args ((or _let_194 _let_309 _let_555) false _let_236 true _let_232 true _let_238 true _let_150 true _let_554 true _let_307 true _let_311 true _let_306 true _let_310 false _let_287 false _let_9 false _let_10 false _let_11)))) (let ((_let_563 (AND_ELIM _let_195 :args (65)))) (let ((_let_564 (_let_535))) (let ((_let_565 ((not (= (tptp.c1_1 X66) true))))) (let ((_let_566 (ASSUME :args _let_564))) (let ((_let_567 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_565)) :args _let_564)))) (let ((_let_568 (not _let_537))) (let ((_let_569 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_570 (or _let_569 _let_538 _let_568))) (let ((_let_571 (or _let_569 _let_538 _let_536))) (let ((_let_572 (forall ((X3 $$unsorted)) (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3))))) (let ((_let_573 (or _let_83 _let_81 _let_79))) (let ((_let_574 (not _let_102))) (let ((_let_575 (tptp.c2_1 tptp.a212))) (let ((_let_576 (or _let_99 _let_575 _let_574))) (let ((_let_577 (not _let_101))) (let ((_let_578 (not _let_575))) (let ((_let_579 (or _let_574 _let_578 _let_577))) (let ((_let_580 (not _let_539))) (let ((_let_581 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_365 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_364)) :args _let_363)))) (let ((_let_582 (not _let_570))) (let ((_let_583 (CNF_OR_NEG :args (_let_571 0)))) (let ((_let_584 (CNF_OR_NEG :args (_let_571 1)))) (let ((_let_585 (CNF_OR_NEG :args (_let_571 2)))) (let ((_let_586 (REORDERING (CNF_OR_POS :args (_let_539)) :args ((or _let_538 _let_536 _let_537 _let_580))))) (let ((_let_587 (MACRO_RESOLUTION_TRUST _let_586 (REORDERING (CNF_OR_POS :args (_let_570)) :args ((or _let_569 _let_538 _let_568 _let_582))) _let_585 _let_584 _let_583 :args ((or _let_571 _let_582 _let_580) true _let_537 true _let_536 true _let_538 true _let_569)))) (let ((_let_588 (not _let_572))) (let ((_let_589 (_let_588))) (let ((_let_590 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_589)) :args _let_589)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_588) _let_572))) (REFL :args ((not _let_571))) :args _let_264)))) (let ((_let_591 (_let_572))) (let ((_let_592 ((not (= (tptp.c0_1 X3) true))))) (let ((_let_593 (ASSUME :args _let_591))) (let ((_let_594 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (tptp.a216 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)))) (let ((_let_595 (not _let_573))) (let ((_let_596 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_573)) :args ((or _let_83 _let_81 _let_79 _let_595))) _let_337 _let_335 _let_334 :args ((or _let_333 _let_595) true _let_79 true _let_81 true _let_83)))) (let ((_let_597 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (tptp.a212 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)))) (let ((_let_598 (REORDERING (CNF_OR_POS :args (_let_576)) :args ((or _let_99 _let_574 _let_575 (not _let_576)))))) (let ((_let_599 (not _let_579))) (let ((_let_600 (REORDERING (CNF_OR_POS :args (_let_579)) :args ((or _let_574 _let_577 _let_578 _let_599))))) (let ((_let_601 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_323 :args (tptp.a212 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_322)) :args _let_321)))) (let ((_let_602 (or _let_99 _let_574 _let_577))) (let ((_let_603 (forall ((X86 $$unsorted)) (or (tptp.c1_1 X86) (not (tptp.c0_1 X86)) (not (tptp.c3_1 X86)))))) (let ((_let_604 (tptp.c1_1 tptp.a248))) (let ((_let_605 (or _let_604 _let_22 _let_20))) (let ((_let_606 (forall ((X22 $$unsorted)) (or (tptp.c2_1 X22) (not (tptp.c0_1 X22)) (not (tptp.c1_1 X22)))))) (let ((_let_607 (or _let_247 _let_244 _let_246))) (let ((_let_608 (forall ((X24 $$unsorted)) (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24))))) (let ((_let_609 (or _let_569 _let_536 _let_568))) (let ((_let_610 (forall ((X8 $$unsorted)) (or (tptp.c0_1 X8) (tptp.c1_1 X8) (not (tptp.c2_1 X8)))))) (let ((_let_611 (forall ((X26 $$unsorted)) (or (tptp.c3_1 X26) (not (tptp.c0_1 X26)) (not (tptp.c1_1 X26)))))) (let ((_let_612 (forall ((X10 $$unsorted)) (or (tptp.c2_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c3_1 X10)))))) (let ((_let_613 (or _let_232 _let_237 _let_229))) (let ((_let_614 (or _let_228 _let_237 _let_231))) (let ((_let_615 (not _let_534))) (let 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_let_706))) (let ((_let_718 (not _let_66))) (let ((_let_719 (or _let_63 _let_718 _let_706))) (let ((_let_720 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_721 (or _let_715 _let_714 _let_720))) (let ((_let_722 (or _let_715 _let_713 _let_720))) (let ((_let_723 (not _let_31))) (let ((_let_724 (or _let_29 _let_27 _let_723))) (let ((_let_725 (not _let_709))) (let ((_let_726 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_727 (or _let_726 _let_725 _let_708))) (let ((_let_728 (or _let_710 _let_726 _let_708))) (let ((_let_729 (tptp.c2_1 tptp.a203))) (let ((_let_730 (not _let_729))) (let ((_let_731 (or _let_117 _let_115 _let_730))) (let ((_let_732 (or _let_729 _let_115 _let_250))) (let ((_let_733 (forall ((X84 $$unsorted)) (or (tptp.c1_1 X84) (tptp.c3_1 X84) (not (tptp.c2_1 X84)))))) (let ((_let_734 (forall ((X35 $$unsorted)) (or (tptp.c1_1 X35) (tptp.c3_1 X35) (not (tptp.c2_1 X35)))))) (let ((_let_735 (or _let_252 _let_39 _let_257))) (let ((_let_736 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_365 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_364)) :args _let_363)))) (let ((_let_737 (not _let_313))) (let ((_let_738 (_let_737))) (let ((_let_739 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_738)) :args _let_738)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_737) _let_313))) (REFL :args ((not _let_716))) :args _let_264)))) (let ((_let_740 (CNF_OR_NEG :args (_let_716 0)))) (let ((_let_741 (CNF_OR_NEG :args (_let_716 1)))) (let ((_let_742 (CNF_OR_NEG :args (_let_716 2)))) (let ((_let_743 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_365 :args (tptp.a228 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_364)) :args _let_363)))) (let ((_let_744 (REORDERING (CNF_OR_POS :args (_let_717)) :args ((or _let_66 _let_63 _let_706 (not _let_717)))))) (let ((_let_745 (not _let_719))) (let ((_let_746 (REORDERING (CNF_OR_POS :args (_let_719)) :args ((or _let_63 _let_718 _let_706 _let_745))))) (let ((_let_747 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (tptp.a228 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_405)))) (let ((_let_748 (not _let_720))) (let ((_let_749 (or _let_715 _let_714 _let_748))) (let ((_let_750 (or _let_715 _let_713 _let_748))) (let ((_let_751 (or _let_699 _let_702 _let_698))) (let ((_let_752 (not _let_712))) (let ((_let_753 ((not (= (tptp.c2_1 X33) true))))) (let ((_let_754 (not _let_503))) (let ((_let_755 (_let_754))) (let ((_let_756 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_755)) :args _let_755)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_754) _let_503))) (REFL :args ((not _let_701))) :args _let_264)))) (let ((_let_757 (CNF_OR_NEG :args (_let_701 0)))) (let ((_let_758 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_701 2)) (CONG (REFL :args (_let_701)) (MACRO_SR_PRED_INTRO :args ((= (not _let_698) _let_697))) :args _let_264)) :args ((or _let_697 _let_701))))) (let ((_let_759 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_751)) :args ((or _let_699 _let_698 _let_702 (not _let_751)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_510)) :args _let_398)) (REORDERING (CNF_OR_POS :args (_let_712)) :args ((or _let_700 _let_699 _let_704 _let_752))) _let_395 _let_197 _let_758 (CNF_OR_NEG :args (_let_701 1)) _let_757 _let_394 _let_756 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_414 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_753)) :args _let_412)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) (REORDERING (CNF_OR_POS :args (_let_750)) :args ((or _let_715 _let_713 _let_748 (not _let_750)))) (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_715 _let_714 _let_748 (not _let_749)))) :args ((or _let_380 _let_715 _let_714 _let_713 _let_748 _let_752) false _let_751 true _let_702 false _let_384 false tptp.ndr1_0 false _let_697 true _let_699 true _let_700 true _let_391 true _let_701 true _let_186 true _let_503 true _let_750 true _let_749)))) (let ((_let_760 (not _let_721))) (let ((_let_761 (REORDERING (CNF_OR_POS :args (_let_721)) :args ((or _let_715 _let_714 _let_720 _let_760))))) (let ((_let_762 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)))) (let ((_let_763 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_414 :args (tptp.a244 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_753)) :args _let_412)))) (let ((_let_764 (not _let_724))) (let ((_let_765 (not _let_32))) (let ((_let_766 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_724)) :args ((or _let_29 _let_27 _let_723 _let_764))) (REORDERING (CNF_AND_POS :args (_let_32 3)) :args ((or _let_28 _let_765))) (REORDERING (CNF_AND_POS :args (_let_32 2)) :args ((or _let_30 _let_765))) (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_31 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_let_252 _let_781))) _let_444 _let_440 _let_439 _let_438 :args ((or _let_437 _let_443 _let_781) true _let_252 true _let_39 true _let_41 false _let_43)) _let_352 _let_436 _let_485 _let_477 _let_486 _let_197 _let_478 _let_488 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_780 :args (tptp.a239 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_779)) :args _let_778)) _let_777 _let_776 _let_197 _let_360 (MACRO_RESOLUTION_TRUST _let_775 (REORDERING (CNF_OR_POS :args (_let_732)) :args ((or _let_115 _let_250 _let_729 _let_774))) _let_358 _let_357 _let_356 :args ((or _let_355 _let_774 _let_773) false _let_729 true _let_115 true _let_117 false _let_119)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_490 :args (tptp.a203 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X40) true))))) :args _let_489)) _let_491 _let_494 _let_497 _let_498 _let_325 _let_197 _let_772 _let_320 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_771)) :args _let_771)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_770) 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_let_590 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_631)) :args _let_427)) _let_762 (REORDERING (CNF_OR_POS :args (_let_722)) :args ((or _let_715 _let_713 _let_720 (not _let_722)))) _let_761 _let_759 _let_747 _let_746 _let_744 _let_743 _let_742 _let_741 _let_740 _let_739 _let_327 _let_467 _let_466 _let_465 _let_464 _let_463 _let_736 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_365 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_364)) :args _let_363)) _let_581 _let_366 _let_461 _let_473 _let_460 _let_454 _let_453 _let_450 _let_448 :args ((or _let_63 _let_706 _let_265) false _let_254 false _let_44 false _let_168 false tptp.hskp20 false _let_169 false tptp.ndr1_0 true tptp.hskp10 true _let_91 false _let_735 false _let_734 false _let_733 false tptp.ndr1_0 true tptp.hskp3 true _let_120 false _let_732 false _let_170 false _let_171 false _let_173 false _let_175 false _let_177 false tptp.ndr1_0 false _let_731 true _let_311 false _let_240 true _let_310 false _let_728 false _let_287 false _let_727 false _let_288 false _let_128 false tptp.ndr1_0 true tptp.hskp0 true _let_126 true tptp.hskp22 true _let_32 false _let_182 false _let_724 false _let_186 true _let_149 true _let_148 true _let_147 true _let_146 false _let_9 false _let_10 false _let_11 false _let_12 false tptp.hskp27 false tptp.ndr1_0 true _let_535 true _let_539 true _let_176 true _let_571 true _let_174 true _let_572 true _let_722 true _let_721 true _let_720 true _let_380 true _let_719 false _let_66 false _let_717 true _let_713 true _let_714 true _let_715 true _let_716 true _let_312 true _let_313 true _let_455 true _let_92 true _let_94 true _let_96 false _let_712 false _let_711 false _let_570 false _let_167 false _let_98 false _let_164 false tptp.hskp9 true tptp.hskp6 true _let_113 false _let_163 false _let_153)))) (let ((_let_783 (or _let_117 _let_729 _let_115))) (let ((_let_784 (forall ((X29 $$unsorted)) (or (tptp.c0_1 X29) (tptp.c2_1 X29) (tptp.c3_1 X29))))) (let ((_let_785 (tptp.c3_1 tptp.a228))) (let ((_let_786 (not _let_785))) (let ((_let_787 (or _let_718 _let_706 _let_786))) (let ((_let_788 (or _let_63 _let_785 _let_706))) (let ((_let_789 (MACRO_RESOLUTION_TRUST _let_402 _let_401 _let_400 _let_397 _let_396 _let_395 _let_197 _let_390 _let_394 _let_763 _let_766 _let_767 _let_776 _let_197 _let_777 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_780 :args (tptp.a228 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_779)) :args _let_778)) _let_747 (REORDERING (CNF_OR_POS :args (_let_788)) :args ((or _let_63 _let_706 _let_785 (not _let_788)))) _let_746 (REORDERING (CNF_OR_POS :args (_let_787)) :args ((or _let_718 _let_706 _let_786 (not _let_787)))) _let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_323 :args (tptp.a228 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_322)) :args _let_321)) _let_743 _let_556 _let_362 _let_561 _let_197 _let_361 _let_197 _let_560 _let_782 :args ((or tptp.hskp3 _let_63 _let_706 _let_387) false _let_139 false _let_383 false _let_137 true _let_141 false _let_384 false tptp.ndr1_0 true _let_379 true _let_391 true _let_186 true _let_724 false _let_32 false tptp.hskp22 false tptp.ndr1_0 true _let_733 true _let_734 true _let_380 true _let_788 true _let_719 true _let_785 false _let_66 false _let_787 false _let_717 false _let_307 false _let_164 false _let_554 false tptp.ndr1_0 false _let_256 false tptp.ndr1_0 true _let_559 true _let_150)))) (let ((_let_790 (not _let_191))) (let ((_let_791 (_let_790))) (let ((_let_792 (not _let_694))) (let ((_let_793 (not _let_696))) (let ((_let_794 (forall ((X83 $$unsorted)) (or (tptp.c2_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c3_1 X83)))))) (let ((_let_795 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_796 (not _let_795))) (let ((_let_797 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_798 (not _let_797))) (let ((_let_799 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_800 (or _let_799 _let_798 _let_796))) (let ((_let_801 (not _let_612))) (let ((_let_802 (_let_801))) (let ((_let_803 (REFL :args (_let_800)))) (let ((_let_804 (tptp.c0_1 tptp.a232))) (let ((_let_805 (not _let_804))) (let ((_let_806 (or _let_59 _let_57 _let_805))) (let ((_let_807 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_808 (or _let_807 _let_799 _let_798))) (let ((_let_809 (not _let_807))) (let ((_let_810 (or _let_799 _let_809 _let_796))) (let ((_let_811 (or _let_35 _let_33 _let_381))) (let ((_let_812 (or _let_804 _let_57 _let_501))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_302 _let_299 _let_499 _let_629 _let_522 _let_197 _let_297 _let_296 _let_295 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_526 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_524)) _let_294 _let_543 (REORDERING (CNF_OR_POS :args (_let_705)) :args ((or _let_700 _let_698 _let_704 (not _let_705)))) _let_351 _let_190 (REORDERING (CNF_OR_POS :args (_let_703)) :args ((or _let_700 _let_698 _let_702 (not _let_703)))) _let_359 _let_219 _let_197 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_414 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_413)) :args _let_412)) _let_360 _let_217 (MACRO_RESOLUTION_TRUST _let_402 _let_401 _let_400 _let_397 _let_396 _let_395 _let_197 _let_390 _let_394 :args ((or _let_186 _let_380 _let_387) false _let_139 false _let_383 false _let_137 true _let_141 false _let_384 false tptp.ndr1_0 true _let_379 true _let_391)) _let_789 _let_216 _let_213 _let_212 _let_668 _let_758 _let_757 _let_669 _let_197 _let_756 _let_670 _let_515 _let_509 _let_422 _let_424 _let_197 _let_353 (MACRO_RESOLUTION_TRUST _let_666 _let_665 _let_664 _let_663 _let_661 _let_659 _let_197 _let_658 (MACRO_RESOLUTION_TRUST _let_394 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_414 :args (tptp.a232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_753)) :args _let_412)) _let_395 _let_197 (REORDERING (CNF_OR_POS :args (_let_812)) :args ((or _let_57 _let_501 _let_804 (not _let_812)))) _let_511 (REORDERING (CNF_OR_POS :args (_let_806)) :args ((or _let_59 _let_57 _let_805 (not _let_806)))) _let_521 _let_520 _let_519 _let_518 _let_523 (AND_ELIM _let_195 :args (75)) _let_197 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_734 (= X35 X82)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_780 :args (tptp.a241 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_779)) :args _let_778)) (REORDERING (CNF_OR_POS :args (_let_811)) :args ((or _let_35 _let_33 _let_381 (not _let_811)))) _let_410 _let_203 _let_202 _let_201 _let_199 _let_198 _let_197 _let_208 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_211 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_210)) :args _let_209)) (REORDERING (CNF_OR_POS :args (_let_810)) :args ((or _let_799 _let_796 _let_809 (not _let_810)))) (REORDERING (CNF_OR_POS :args (_let_808)) :args ((or _let_799 _let_798 _let_807 (not _let_808)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) _let_377 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_376 :args (tptp.a232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) :args ((or _let_380 _let_794 _let_373 _let_799 _let_798 _let_796) true _let_186 false _let_391 false tptp.ndr1_0 true _let_812 true _let_384 true _let_804 true _let_502 true _let_57 true _let_59 false _let_61 false _let_62 false tptp.hskp17 false tptp.ndr1_0 true (forall ((X82 $$unsorted)) (or (tptp.c1_1 X82) (tptp.c3_1 X82) (not (tptp.c2_1 X82)))) true _let_734 true _let_811 false _let_184 true _let_33 true _let_35 false _let_37 false _let_38 false tptp.hskp21 false tptp.ndr1_0 true _let_132 true _let_133 true _let_810 false _let_807 false _let_808 false _let_187 false _let_806)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_800 2)) (CONG _let_803 (MACRO_SR_PRED_INTRO :args ((= (not _let_796) _let_795))) :args _let_264)) :args ((or _let_795 _let_800))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_800 1)) (CONG _let_803 (MACRO_SR_PRED_INTRO :args ((= (not _let_798) _let_797))) :args _let_264)) :args ((or _let_797 _let_800))) (CNF_OR_NEG :args (_let_800 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_802)) :args _let_802)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_801) _let_612))) (REFL :args ((not _let_800))) :args _let_264)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_612 (= X10 X83)))) _let_678 _let_680 _let_281 _let_346 _let_667 :args ((or tptp.hskp27 _let_380 (not _let_180) _let_232 _let_237) true _let_73 true _let_75 false _let_77 false _let_78 false tptp.hskp12 false tptp.ndr1_0 true _let_642 true _let_259 false _let_795 false _let_797 true _let_799 true _let_800 true _let_794 true _let_612 true _let_613 false _let_228 false _let_249 false _let_646)) _let_426 _let_651 _let_649 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_405)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_696)) :args ((or _let_691 _let_689 _let_695 _let_793))) (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_691 _let_690 _let_693 _let_792))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_692 2)) (CONG (REFL :args (_let_692)) (MACRO_SR_PRED_INTRO :args ((= (not _let_689) _let_688))) :args _let_264)) :args ((or _let_688 _let_692))) (CNF_OR_NEG :args (_let_692 1)) (CNF_OR_NEG :args (_let_692 0)) :args ((or _let_692 _let_793 _let_792) false _let_693 false _let_688 true _let_690 true _let_691)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_565)) :args _let_564)) _let_563 _let_197 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_791)) :args _let_791)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_790) _let_191))) (REFL :args ((not _let_692))) :args _let_264)) _let_206 _let_204 _let_201 _let_203 _let_202 _let_199 (MACRO_RESOLUTION_TRUST _let_557 _let_442 _let_440 _let_439 _let_438 _let_436 _let_435 _let_197 _let_367 _let_434 _let_674 _let_597 _let_676 _let_197 _let_598 _let_657 _let_600 _let_653 _let_553 _let_552 _let_551 _let_549 (MACRO_RESOLUTION_TRUST _let_759 _let_761 _let_736 _let_742 _let_741 _let_740 _let_468 _let_197 _let_739 _let_467 _let_466 _let_747 _let_465 _let_464 _let_463 (MACRO_RESOLUTION_TRUST _let_746 _let_687 _let_686 (REORDERING (CNF_AND_POS :args (_let_67 1)) :args ((or _let_66 _let_685))) :args ((or _let_685 _let_745) true _let_63 false _let_65 false _let_66)) _let_461 _let_683 (AND_ELIM _let_195 :args (47)) _let_197 _let_548 :args ((or tptp.hskp8 tptp.hskp26 _let_456 _let_784 _let_760) false _let_720 false _let_712 true _let_713 true _let_714 true _let_715 false _let_164 false tptp.ndr1_0 true _let_716 true _let_313 true _let_455 true _let_380 true _let_92 true _let_94 true _let_96 true _let_719 false _let_98 false _let_67 false tptp.hskp9 false tptp.ndr1_0 false tptp.hskp15)) _let_601 _let_326 _let_328 _let_197 _let_332 _let_596 _let_762 _let_594 _let_590 _let_672 _let_567 _let_563 _let_197 _let_196 _let_338 _let_547 _let_546 _let_542 _let_541 _let_342 _let_528 _let_499 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_174 (= X4 X29)))) _let_425 _let_302 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (tptp.a203 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_631)) :args _let_427)) _let_299 (REORDERING (CNF_OR_POS :args (_let_783)) :args ((or _let_117 _let_115 _let_729 (not _let_783)))) _let_298 _let_775 _let_280 _let_673 _let_279 _let_772 (MACRO_RESOLUTION_TRUST _let_223 _let_222 _let_221 _let_220 _let_196 _let_219 _let_197 _let_190 _let_543 _let_629 _let_630 _let_225 _let_632 _let_262 _let_633 _let_268 _let_197 _let_675 _let_197 _let_273 :args ((or tptp.hskp19 _let_240 _let_611 _let_235 _let_247 _let_246 _let_284) false _let_9 false _let_10 false _let_11 false _let_12 false tptp.hskp27 false tptp.ndr1_0 true _let_131 true _let_128 true _let_534 false _let_244 false _let_146 false _let_607 false _let_147 false _let_174 false _let_234 false tptp.ndr1_0 false _let_608 false tptp.ndr1_0 true _let_239)) _let_297 _let_296 _let_295 _let_294 _let_291 _let_351 _let_359 _let_358 _let_357 _let_360 _let_789 _let_677 _let_679 _let_217 (MACRO_RESOLUTION_TRUST _let_275 _let_682 _let_272 _let_271 _let_269 :args ((or _let_238 _let_274 _let_681) false _let_228 false _let_230 false _let_236 true _let_232)) _let_216 _let_261 _let_213 _let_212 _let_208 _let_198 _let_197 _let_267 _let_263 _let_782 :args ((or tptp.hskp21 _let_63 _let_706) false _let_252 true _let_39 true _let_41 false _let_43 false _let_44 false tptp.hskp20 false tptp.ndr1_0 false _let_258 true _let_260 false _let_164 true _let_259 false _let_610 false tptp.ndr1_0 true _let_576 true _let_612 true _let_575 true _let_640 true _let_99 false _let_101 false _let_102 false _let_103 false tptp.hskp8 false _let_579 false _let_307 false _let_308 false tptp.ndr1_0 true tptp.hskp11 true _let_85 false _let_721 false _let_573 false _let_572 false _let_571 false _let_539 false _let_535 false tptp.ndr1_0 true tptp.hskp27 true _let_12 true tptp.hskp26 true _let_18 false _let_533 false _let_530 false _let_288 false _let_128 true _let_178 true _let_784 true _let_176 true _let_177 true _let_174 true _let_286 true _let_783 true _let_244 true _let_729 false _let_248 false _let_609 false _let_243 false _let_731 false _let_240 false _let_283 true _let_246 true _let_247 true _let_285 true _let_282 true _let_168 true _let_251 true _let_115 true _let_117 false _let_120 false tptp.hskp3 true _let_611 true _let_456 true tptp.hskp19 true _let_614 true _let_49 false _let_233 false _let_142 false _let_136 false _let_133 false _let_132 false tptp.ndr1_0 true _let_238 true _let_235 true _let_150)) _let_271 _let_269 _let_267 _let_618 _let_782 :args ((or tptp.hskp27 _let_63 _let_706) true _let_286 false _let_177 true _let_244 false _let_178 false tptp.ndr1_0 false _let_283 true _let_246 true _let_247 true _let_504 true _let_285 false _let_534 true _let_705 true _let_168 false _let_128 false _let_702 true _let_251 false _let_131 false tptp.ndr1_0 false _let_703 false _let_120 true tptp.hskp19 false _let_186 false tptp.hskp3 true _let_49 false _let_142 false _let_136 false _let_133 false _let_697 true _let_700 false _let_647 false tptp.ndr1_0 true _let_701 true _let_648 true _let_503 true _let_500 false _let_126 false tptp.hskp0 false tptp.ndr1_0 true _let_255 true _let_180 true tptp.hskp18 true _let_56 false _let_634 true _let_380 true _let_696 false _let_694 false _let_535 false tptp.ndr1_0 true _let_692 true _let_191 true _let_192 false _let_37 true _let_33 true _let_35 false _let_38 false tptp.hskp21 false _let_236 true _let_232 true _let_238 true _let_606 true _let_150)) (MACRO_RESOLUTION_TRUST _let_687 _let_684 :args (_let_64 false _let_67)) (MACRO_RESOLUTION_TRUST _let_196 (MACRO_RESOLUTION_TRUST _let_562 (MACRO_RESOLUTION_TRUST _let_342 _let_529 :args (_let_288 false _let_128)) (MACRO_RESOLUTION_TRUST _let_541 _let_529 :args (_let_530 false _let_128)) :args (_let_194 false _let_288 false _let_530)) :args (_let_13 true _let_12)) (MACRO_RESOLUTION_TRUST _let_686 _let_684 :args (_let_65 false _let_67)) :args (false true _let_63 true tptp.hskp27 false _let_65)) :args (_let_127 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.58/0.77  )
% 0.58/0.77  % SZS output end Proof for SYN467+1
% 0.58/0.77  % cvc5---1.0.5 exiting
% 0.58/0.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------