%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN474+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 02:03:29 EDT 2023

% Result   : Theorem 0.54s 0.72s
% Output   : Proof 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SYN474+1 : TPTP v8.1.2. Released v2.1.0.
% 0.05/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n002.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sat Aug 26 19:03:33 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.54/0.72  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cL08HgGG3O/cvc5---1.0.5_18217.p...
% 0.54/0.72  ------- get file name : TPTP file name is SYN474+1
% 0.54/0.72  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18217.smt2...
% 0.54/0.72  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.54/0.72  % SZS status Theorem for SYN474+1
% 0.54/0.72  % SZS output start Proof for SYN474+1
% 0.54/0.72  (
% 0.54/0.72  (let ((_let_1 (tptp.c3_1 tptp.a957))) (let ((_let_2 (tptp.c2_1 tptp.a957))) (let ((_let_3 (tptp.c1_1 tptp.a957))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a911))) (let ((_let_6 (tptp.c1_1 tptp.a911))) (let ((_let_7 (tptp.c0_1 tptp.a911))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a900))) (let ((_let_10 (tptp.c2_1 tptp.a900))) (let ((_let_11 (tptp.c0_1 tptp.a900))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c0_1 tptp.a978))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c3_1 tptp.a978))) (let ((_let_16 (tptp.c2_1 tptp.a978))) (let ((_let_17 (and tptp.ndr1_0 _let_16 _let_15 _let_14))) (let ((_let_18 (tptp.c3_1 tptp.a958))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c1_1 tptp.a958))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c0_1 tptp.a958))) (let ((_let_23 (not _let_22))) (let ((_let_24 (and tptp.ndr1_0 _let_23 _let_21 _let_19))) (let ((_let_25 (and tptp.ndr1_0 (tptp.c1_1 tptp.a953) (tptp.c3_1 tptp.a953) (not (tptp.c2_1 tptp.a953))))) (let ((_let_26 (tptp.c2_1 tptp.a950))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c3_1 tptp.a950))) (let ((_let_29 (tptp.c0_1 tptp.a950))) (let ((_let_30 (and tptp.ndr1_0 _let_29 _let_28 _let_27))) (let ((_let_31 (tptp.c3_1 tptp.a939))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c0_1 tptp.a939))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c1_1 tptp.a939))) (let ((_let_36 (and tptp.ndr1_0 _let_35 _let_34 _let_32))) (let ((_let_37 (tptp.c3_1 tptp.a938))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.c2_1 tptp.a938))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c0_1 tptp.a938))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_38))) (let ((_let_43 (tptp.c3_1 tptp.a937))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c0_1 tptp.a937))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c2_1 tptp.a937))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_44))) (let ((_let_49 (tptp.c1_1 tptp.a929))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c2_1 tptp.a929))) (let ((_let_52 (tptp.c0_1 tptp.a929))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_50))) (let ((_let_54 (tptp.c3_1 tptp.a928))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c2_1 tptp.a928))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.c1_1 tptp.a928))) (let ((_let_59 (and tptp.ndr1_0 _let_58 _let_57 _let_55))) (let ((_let_60 (tptp.c3_1 tptp.a921))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.c1_1 tptp.a921))) (let ((_let_63 (tptp.c0_1 tptp.a921))) (let ((_let_64 (and tptp.ndr1_0 _let_63 _let_62 _let_61))) (let ((_let_65 (tptp.c1_1 tptp.a918))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.c3_1 tptp.a918))) (let ((_let_68 (tptp.c0_1 tptp.a918))) (let ((_let_69 (and tptp.ndr1_0 _let_68 _let_67 _let_66))) (let ((_let_70 (tptp.c2_1 tptp.a914))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.c1_1 tptp.a914))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c3_1 tptp.a914))) (let ((_let_75 (and tptp.ndr1_0 _let_74 _let_73 _let_71))) (let ((_let_76 (tptp.c3_1 tptp.a913))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.c1_1 tptp.a913))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c0_1 tptp.a913))) (let ((_let_81 (and tptp.ndr1_0 _let_80 _let_79 _let_77))) (let ((_let_82 (not tptp.hskp12))) (let ((_let_83 (tptp.c3_1 tptp.a912))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.c2_1 tptp.a912))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c1_1 tptp.a912))) (let ((_let_88 (not _let_87))) (let ((_let_89 (and tptp.ndr1_0 _let_88 _let_86 _let_84))) (let ((_let_90 (tptp.c2_1 tptp.a910))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c0_1 tptp.a910))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c1_1 tptp.a910))) (let ((_let_95 (and tptp.ndr1_0 _let_94 _let_93 _let_91))) (let ((_let_96 (tptp.c2_1 tptp.a909))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.c1_1 tptp.a909))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.c0_1 tptp.a909))) (let ((_let_101 (not _let_100))) (let ((_let_102 (and tptp.ndr1_0 _let_101 _let_99 _let_97))) (let ((_let_103 (tptp.c0_1 tptp.a907))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.c3_1 tptp.a907))) (let ((_let_106 (and tptp.ndr1_0 _let_105 _let_104 (not (tptp.c1_1 tptp.a907))))) (let ((_let_107 (tptp.c1_1 tptp.a906))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.c3_1 tptp.a906))) (let ((_let_110 (tptp.c2_1 tptp.a906))) (let ((_let_111 (and tptp.ndr1_0 _let_110 _let_109 _let_108))) (let ((_let_112 (tptp.c3_1 tptp.a904))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.c1_1 tptp.a904))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.c2_1 tptp.a904))) (let ((_let_117 (and tptp.ndr1_0 _let_116 _let_115 _let_113))) (let ((_let_118 (and tptp.ndr1_0 (tptp.c0_1 tptp.a903) (tptp.c2_1 tptp.a903) (not (tptp.c3_1 tptp.a903))))) (let ((_let_119 (tptp.c3_1 tptp.a901))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.c2_1 tptp.a901))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.c0_1 tptp.a901))) (let ((_let_124 (not _let_123))) (let ((_let_125 (and tptp.ndr1_0 _let_124 _let_122 _let_120))) (let ((_let_126 (tptp.c0_1 tptp.a899))) (let ((_let_127 (not _let_126))) (let ((_let_128 (tptp.c2_1 tptp.a899))) (let ((_let_129 (tptp.c1_1 tptp.a899))) (let ((_let_130 (and tptp.ndr1_0 _let_129 _let_128 _let_127))) (let ((_let_131 (tptp.c2_1 tptp.a898))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.c1_1 tptp.a898))) (let ((_let_134 (tptp.c0_1 tptp.a898))) (let ((_let_135 (and tptp.ndr1_0 _let_134 _let_133 _let_132))) (let ((_let_136 (not (not (and (or (not tptp.hskp0) _let_135) (or (not tptp.hskp1) _let_130) (or (not tptp.hskp2) _let_125) (or (not tptp.hskp3) _let_118) (or (not tptp.hskp4) _let_117) (or (not tptp.hskp5) (and tptp.ndr1_0 (tptp.c1_1 tptp.a905) (tptp.c3_1 tptp.a905) (not (tptp.c0_1 tptp.a905)))) (or (not tptp.hskp6) _let_111) (or (not tptp.hskp7) _let_106) (or (not tptp.hskp8) (and tptp.ndr1_0 (tptp.c3_1 tptp.a908) (not (tptp.c0_1 tptp.a908)) (not (tptp.c2_1 tptp.a908)))) (or (not tptp.hskp9) _let_102) (or (not tptp.hskp10) _let_95) (or (not tptp.hskp11) _let_89) (or _let_82 _let_81) (or (not tptp.hskp13) _let_75) (or (not tptp.hskp14) _let_69) (or (not tptp.hskp15) _let_64) (or (not tptp.hskp16) (and tptp.ndr1_0 (tptp.c1_1 tptp.a923) (tptp.c2_1 tptp.a923) (not (tptp.c3_1 tptp.a923)))) (or (not tptp.hskp17) _let_59) (or (not tptp.hskp18) _let_53) (or (not tptp.hskp19) (and tptp.ndr1_0 (tptp.c2_1 tptp.a930) (not (tptp.c0_1 tptp.a930)) (not (tptp.c1_1 tptp.a930)))) (or (not tptp.hskp20) _let_48) (or (not tptp.hskp21) _let_42) (or (not tptp.hskp22) _let_36) (or (not tptp.hskp23) _let_30) (or (not tptp.hskp24) _let_25) (or (not tptp.hskp25) _let_24) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c0_1 tptp.a969) (not (tptp.c1_1 tptp.a969)) (not (tptp.c2_1 tptp.a969)))) (or (not tptp.hskp27) _let_17) (or (not tptp.hskp28) _let_12) (or (not tptp.hskp29) _let_8) (or (not tptp.hskp30) (and tptp.ndr1_0 (tptp.c0_1 tptp.a919) (tptp.c1_1 tptp.a919) (tptp.c2_1 tptp.a919))) (or (not tptp.hskp31) _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.c1_1 V) (tptp.c3_1 V) (not (tptp.c2_1 V))))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 W)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) tptp.hskp0 tptp.hskp1) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c3_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c2_1 Z) (not (tptp.c3_1 Z))))) (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X1) (tptp.c2_1 X1) (not (tptp.c3_1 X1)))))) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c3_1 X2)))) tptp.hskp28 tptp.hskp2) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3))))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X4) (not (tptp.c0_1 X4)) (not (tptp.c1_1 X4))))) tptp.hskp1) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (not (tptp.c3_1 X5))))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c2_1 X6))))) tptp.hskp3) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (not (tptp.c3_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X8) (not (tptp.c0_1 X8)) (not (tptp.c3_1 X8))))) tptp.hskp4) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c3_1 X9))))) tptp.hskp5 tptp.hskp6) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c3_1 X10))))) tptp.hskp7 tptp.hskp8) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (tptp.c2_1 X11) (tptp.c3_1 X11)))) (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X12) (tptp.c2_1 X12) (tptp.c3_1 X12)))) tptp.hskp9) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c2_1 X13) (tptp.c3_1 X13)))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X14) (not (tptp.c2_1 X14)) (not (tptp.c3_1 X14))))) (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X15) (not (tptp.c0_1 X15)) (not (tptp.c2_1 X15)))))) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c2_1 X16) (not (tptp.c1_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17))))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X18) (tptp.c2_1 X18) (tptp.c3_1 X18))))) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c2_1 X19) (not (tptp.c1_1 X19))))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20)))) tptp.hskp10) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c1_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X22) (not (tptp.c0_1 X22)) (not (tptp.c1_1 X22))))) tptp.hskp29) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (not (tptp.c1_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X24)) (not (tptp.c1_1 X24)) (not (tptp.c3_1 X24))))) tptp.hskp11) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25))))) tptp.hskp12 tptp.hskp13) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c2_1 X26) (not (tptp.c3_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X27) (tptp.c3_1 X27) (not (tptp.c2_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c3_1 X28)))))) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c3_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X30) (not (tptp.c0_1 X30)) (not (tptp.c3_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c1_1 X31)))))) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c2_1 X32) (not (tptp.c3_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X33) (tptp.c3_1 X33) (not (tptp.c1_1 X33))))) tptp.hskp8) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c2_1 X34) (not (tptp.c3_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X35) (not (tptp.c0_1 X35)) (not (tptp.c1_1 X35))))) tptp.hskp4) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X37) (not (tptp.c0_1 X37)) (not (tptp.c2_1 X37))))) tptp.hskp12) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c2_1 X38) (not (tptp.c3_1 X38))))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X39) (not (tptp.c1_1 X39)) (not (tptp.c2_1 X39))))) tptp.hskp14) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (tptp.c2_1 X40) (not (tptp.c3_1 X40))))) tptp.hskp30 tptp.hskp1) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41))))) tptp.hskp15 tptp.hskp5) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42))))) tptp.hskp16 tptp.hskp9) (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.c0_1 X44) (not (tptp.c2_1 X44)) (not (tptp.c3_1 X44))))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X45) (tptp.c3_1 X45) (not (tptp.c2_1 X45)))))) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (tptp.c3_1 X46) (not (tptp.c1_1 X46))))) tptp.hskp4 tptp.hskp7) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (tptp.c3_1 X47) (not (tptp.c2_1 X47))))) tptp.hskp0 tptp.hskp17) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c2_1 X48))))) tptp.hskp18 tptp.hskp19) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (not (tptp.c1_1 X49)) (not (tptp.c2_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X50) (tptp.c3_1 X50) (not (tptp.c0_1 X50))))) tptp.hskp14) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c2_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c2_1 X52))))) tptp.hskp15) (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 (not (tptp.c0_1 X54)) (not (tptp.c1_1 X54)) (not (tptp.c3_1 X54))))) tptp.hskp9) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c1_1 X55)) (not (tptp.c3_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X56) (not (tptp.c0_1 X56)) (not (tptp.c2_1 X56))))) tptp.hskp14) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (not (tptp.c1_1 X57)) (not (tptp.c3_1 X57))))) tptp.hskp12 tptp.hskp10) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58))))) (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (tptp.c2_1 X59) (not (tptp.c3_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X60) (tptp.c3_1 X60) (not (tptp.c1_1 X60)))))) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (tptp.c2_1 X61) (tptp.c3_1 X61)))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X62) (not (tptp.c0_1 X62)) (not (tptp.c2_1 X62))))) tptp.hskp20) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (tptp.c2_1 X63) (tptp.c3_1 X63)))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X64)) (not (tptp.c1_1 X64)) (not (tptp.c2_1 X64))))) tptp.hskp21) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (tptp.c2_1 X65) (not (tptp.c0_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (not (tptp.c2_1 X66)) (not (tptp.c3_1 X66))))) tptp.hskp22) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c2_1 X67) (not (tptp.c0_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp22) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c2_1 X69) (not (tptp.c0_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X70)) (not (tptp.c2_1 X70)) (not (tptp.c3_1 X70))))) tptp.hskp1) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (tptp.c2_1 X71) (not (tptp.c3_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c3_1 X72) (not (tptp.c2_1 X72))))) tptp.hskp12) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (tptp.c2_1 X73) (not (tptp.c3_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X74) (tptp.c3_1 X74) (not (tptp.c1_1 X74))))) tptp.hskp18) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (tptp.c3_1 X75) (not (tptp.c0_1 X75))))) tptp.hskp18 tptp.hskp12) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X76) (tptp.c3_1 X76) (not (tptp.c2_1 X76))))) (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X77) (not (tptp.c0_1 X77)) (not (tptp.c1_1 X77))))) tptp.hskp21) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c2_1 X78))))) tptp.hskp29 tptp.hskp15) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c2_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X80) (tptp.c3_1 X80) (not (tptp.c0_1 X80))))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X81) (not (tptp.c1_1 X81)) (not (tptp.c3_1 X81)))))) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (not (tptp.c0_1 X82)) (not (tptp.c2_1 X82))))) (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c1_1 X83))))) tptp.hskp7) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X84) (not (tptp.c0_1 X84)) (not (tptp.c2_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X85)) (not (tptp.c2_1 X85)) (not (tptp.c3_1 X85))))) tptp.hskp23) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (not (tptp.c0_1 X86)) (not (tptp.c3_1 X86))))) (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X87) (tptp.c3_1 X87) (not (tptp.c0_1 X87))))) tptp.hskp18) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (not (tptp.c2_1 X88)) (not (tptp.c3_1 X88))))) (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X89)) (not (tptp.c1_1 X89)) (not (tptp.c3_1 X89))))) tptp.hskp28) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X90) (not (tptp.c2_1 X90)) (not (tptp.c3_1 X90))))) tptp.hskp24 tptp.hskp17) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X91) (tptp.c3_1 X91) (not (tptp.c0_1 X91))))) tptp.hskp10 tptp.hskp7) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X92) (tptp.c3_1 X92) (not (tptp.c1_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X93) (not (tptp.c0_1 X93)) (not (tptp.c1_1 X93))))) tptp.hskp31) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X94) (tptp.c3_1 X94) (not (tptp.c1_1 X94))))) tptp.hskp25) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95))))) tptp.hskp1 tptp.hskp20) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c3_1 X96))))) (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp0) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X98) (not (tptp.c0_1 X98)) (not (tptp.c3_1 X98))))) tptp.hskp1 tptp.hskp5) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X99) (not (tptp.c1_1 X99)) (not (tptp.c3_1 X99))))) tptp.hskp12 tptp.hskp6) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X100) (not (tptp.c1_1 X100)) (not (tptp.c3_1 X100))))) tptp.hskp1 tptp.hskp13) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X101) (not (tptp.c0_1 X101)) (not (tptp.c1_1 X101))))) (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X102)) (not (tptp.c2_1 X102)) (not (tptp.c3_1 X102))))) tptp.hskp21) (or (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X103) (not (tptp.c0_1 X103)) (not (tptp.c1_1 X103))))) tptp.hskp26 tptp.hskp17) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X104) (not (tptp.c0_1 X104)) (not (tptp.c2_1 X104))))) (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X105)) (not (tptp.c1_1 X105)) (not (tptp.c2_1 X105))))) tptp.hskp9) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X106) (not (tptp.c0_1 X106)) (not (tptp.c2_1 X106))))) tptp.hskp16 tptp.hskp10) (or (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X107)) (not (tptp.c2_1 X107)) (not (tptp.c3_1 X107))))) tptp.hskp13 tptp.hskp2) (or tptp.hskp29 tptp.hskp31 tptp.hskp27) (or tptp.hskp0 tptp.hskp12 tptp.hskp9) (or tptp.hskp0 tptp.hskp21 tptp.hskp25) (or tptp.hskp15 tptp.hskp22 tptp.hskp19) (or tptp.hskp28 tptp.hskp22 tptp.hskp17) (or tptp.hskp3 tptp.hskp24 tptp.hskp25) (or tptp.hskp23 tptp.hskp26 tptp.hskp22) (or tptp.hskp27 tptp.hskp7 tptp.hskp9)))))) (let ((_let_137 (tptp.c2_1 tptp.a918))) (let ((_let_138 (not _let_67))) (let ((_let_139 (or _let_65 _let_137 _let_138))) (let ((_let_140 (forall ((X50 $$unsorted)) (or (tptp.c2_1 X50) (tptp.c3_1 X50) (not (tptp.c0_1 X50)))))) (let ((_let_141 (forall ((X49 $$unsorted)) (or (tptp.c0_1 X49) (not (tptp.c1_1 X49)) (not (tptp.c2_1 X49)))))) (let ((_let_142 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_143 (not _let_142))) (let ((_let_144 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_145 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_146 (or _let_145 _let_144 _let_143))) (let ((_let_147 (not _let_146))) (let ((_let_148 (not _let_144))) (let ((_let_149 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_145 _let_150 _let_148))) (let ((_let_152 (forall ((X28 $$unsorted)) (or (tptp.c2_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c3_1 X28)))))) (let ((_let_153 (forall ((X99 $$unsorted)) (or (tptp.c2_1 X99) (not (tptp.c1_1 X99)) (not (tptp.c3_1 X99)))))) (let ((_let_154 (forall ((X100 $$unsorted)) (or (tptp.c2_1 X100) (not (tptp.c1_1 X100)) (not (tptp.c3_1 X100)))))) (let ((_let_155 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_156 (not _let_155))) (let ((_let_157 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_158 (not _let_157))) (let ((_let_159 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_160 (or _let_159 _let_158 _let_156))) (let ((_let_161 (not _let_109))) (let ((_let_162 (not _let_110))) (let ((_let_163 (or _let_107 _let_162 _let_161))) (let ((_let_164 (forall ((X14 $$unsorted)) (or (tptp.c1_1 X14) (not (tptp.c2_1 X14)) (not (tptp.c3_1 X14)))))) (let ((_let_165 (forall ((W $$unsorted)) (or (not (tptp.c0_1 W)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)))))) (let ((_let_166 (not _let_9))) (let ((_let_167 (not _let_10))) (let ((_let_168 (not _let_11))) (let ((_let_169 (or _let_168 _let_167 _let_166))) (let ((_let_170 (tptp.c0_1 tptp.a906))) (let ((_let_171 (not _let_170))) (let ((_let_172 (or _let_171 _let_162 _let_161))) (let ((_let_173 (or _let_170 _let_162 _let_161))) (let ((_let_174 (forall ((X17 $$unsorted)) (or (tptp.c0_1 X17) (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17)))))) (let ((_let_175 (forall ((X24 $$unsorted)) (or (not (tptp.c0_1 X24)) (not (tptp.c1_1 X24)) (not (tptp.c3_1 X24)))))) (let ((_let_176 (forall ((X58 $$unsorted)) (or (tptp.c0_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58)))))) (let ((_let_177 (or _let_143 _let_150 _let_148))) (let ((_let_178 (forall ((X33 $$unsorted)) (or (tptp.c2_1 X33) (tptp.c3_1 X33) (not (tptp.c1_1 X33)))))) (let ((_let_179 (not _let_58))) (let ((_let_180 (or _let_56 _let_54 _let_179))) (let ((_let_181 (not _let_35))) (let ((_let_182 (tptp.c2_1 tptp.a939))) (let ((_let_183 (or _let_182 _let_31 _let_181))) (let ((_let_184 (or _let_145 _let_143 _let_150))) (let ((_let_185 (forall ((X31 $$unsorted)) (or (tptp.c2_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c1_1 X31)))))) (let ((_let_186 (not _let_133))) (let ((_let_187 (not _let_134))) (let ((_let_188 (or _let_131 _let_187 _let_186))) (let ((_let_189 (forall ((X47 $$unsorted)) (or (tptp.c0_1 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(INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_404)) :args _let_403)))) (let ((_let_408 (not _let_329))) (let ((_let_409 (not _let_125))) (let ((_let_410 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_329)) :args ((or _let_123 _let_121 _let_119 _let_408))) (REORDERING (CNF_AND_POS :args (_let_125 3)) :args ((or _let_120 _let_409))) (REORDERING (CNF_AND_POS :args (_let_125 2)) :args ((or _let_122 _let_409))) (REORDERING (CNF_AND_POS :args (_let_125 1)) :args ((or _let_124 _let_409))) :args ((or _let_409 _let_408) true _let_119 true _let_121 true _let_123)))) (let ((_let_411 (not _let_310))) (let ((_let_412 (CNF_OR_NEG :args (_let_311 0)))) (let ((_let_413 (CNF_OR_NEG :args (_let_311 1)))) (let ((_let_414 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_311 2)) (CONG (REFL :args (_let_311)) (MACRO_SR_PRED_INTRO :args ((= (not _let_282) _let_281))) :args _let_192)) :args ((or _let_281 _let_311))))) (let ((_let_415 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:args ((not _let_295))) :args _let_192)))) (let ((_let_483 (CNF_OR_NEG :args (_let_295 0)))) (let ((_let_484 (CNF_OR_NEG :args (_let_295 1)))) (let ((_let_485 (or _let_45 _let_286 _let_43))) (let ((_let_486 (or _let_294 _let_304 _let_292))) (let ((_let_487 (or _let_300 _let_293 _let_292))) (let ((_let_488 (not _let_486))) (let ((_let_489 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_295 2)) (CONG (REFL :args (_let_295)) (MACRO_SR_PRED_INTRO :args ((= (not _let_292) _let_291))) :args _let_192)) :args ((or _let_291 _let_295))))) (let ((_let_490 (_let_221))) (let ((_let_491 ((not (= (tptp.c2_1 Z) true))))) (let ((_let_492 (ASSUME :args _let_490))) (let ((_let_493 (_let_486))) (let ((_let_494 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_487)) :args ((or _let_293 _let_292 _let_300 (not _let_487)))) (REORDERING (CNF_OR_POS :args _let_493) :args ((or _let_294 _let_292 _let_304 _let_488))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 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false))))) (let ((_let_616 (MACRO_RESOLUTION_TRUST _let_601 _let_596 _let_602 _let_381 _let_603 _let_365 _let_604 _let_360 _let_607 (REORDERING (CNF_OR_POS :args (_let_613)) :args ((or _let_256 _let_339 _let_258 (not _let_613)))) _let_608 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_574 :args (tptp.a957 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_615)) :args _let_572)) :args ((or _let_256 _let_614 _let_258 _let_599 _let_346) false _let_584 false _let_8 false _let_185 false tptp.hskp29 true tptp.hskp31 true tptp.hskp27 true _let_4 true _let_17 true _let_1 false _let_587 false _let_613)))) (let ((_let_617 (_let_212))) (let ((_let_618 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_619 (not _let_618))) (let ((_let_620 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_621 (not _let_620))) (let ((_let_622 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_623 (not _let_622))) (let ((_let_624 (or _let_623 _let_621 _let_619))) (let ((_let_625 (forall ((X64 $$unsorted)) 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(let ((_let_653 (_let_644))) (let ((_let_654 ((not (= (tptp.c0_1 X55) true))))) (let ((_let_655 (ASSUME :args _let_653))) (let ((_let_656 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)))) (let ((_let_657 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (tptp.a928 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)))) (let ((_let_658 (REORDERING (CNF_OR_POS :args (_let_632)) :args ((or _let_56 _let_179 _let_631 (not _let_632)))))) (let ((_let_659 (_let_347))) (let ((_let_660 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_659)) :args _let_659)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_347) _let_165))) (REFL :args ((not _let_624))) :args _let_192)))) (let ((_let_661 (REFL :args (_let_624)))) (let ((_let_662 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_624 0)) (CONG _let_661 (MACRO_SR_PRED_INTRO :args ((= (not _let_623) _let_622))) :args _let_192)) :args ((or _let_622 _let_624))))) (let ((_let_663 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_624 1)) (CONG _let_661 (MACRO_SR_PRED_INTRO :args ((= (not _let_621) _let_620))) :args _let_192)) :args ((or _let_620 _let_624))))) (let ((_let_664 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_624 2)) (CONG _let_661 (MACRO_SR_PRED_INTRO :args ((= (not _let_619) _let_618))) :args _let_192)) :args ((or _let_618 _let_624))))) (let ((_let_665 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_184 1)) (CONG _let_372 (MACRO_SR_PRED_INTRO :args ((= (not _let_143) _let_142))) :args _let_192)) :args ((or _let_142 _let_184))))) (let ((_let_666 (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_145 _let_143 _let_144 _let_147))))) (let ((_let_667 (_let_625))) (let ((_let_668 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_667) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X64) false))))) :args _let_667)))) (let ((_let_669 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)))) (let ((_let_670 (not _let_628))) (let ((_let_671 (REORDERING (CNF_OR_POS :args (_let_628)) :args ((or _let_623 _let_621 _let_627 _let_670))))) (let ((_let_672 (CNF_OR_NEG :args (_let_160 0)))) (let ((_let_673 (REFL :args (_let_160)))) (let ((_let_674 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_160 1)) (CONG _let_673 (MACRO_SR_PRED_INTRO :args ((= (not _let_158) _let_157))) :args _let_192)) :args ((or _let_157 _let_160))))) (let ((_let_675 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a938 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)))) (let ((_let_676 (not _let_225))) (let ((_let_677 (not _let_42))) (let ((_let_678 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_39 _let_37 _let_224 _let_676))) (REORDERING (CNF_AND_POS :args (_let_42 3)) :args ((or _let_38 _let_677))) (REORDERING (CNF_AND_POS :args (_let_42 2)) :args ((or _let_40 _let_677))) (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_41 _let_677))) :args ((or _let_677 _let_676) true _let_37 true _let_39 false _let_41)))) (let ((_let_679 (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_159 _let_158 _let_226 (not _let_227)))))) (let ((_let_680 (AND_ELIM _let_325 :args (21)))) (let ((_let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)))) (let ((_let_682 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_325 :args (12)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_185 (= X31 X77)))) (AND_ELIM _let_325 :args (75)) _let_337 _let_681 _let_680 _let_679 _let_678 (REORDERING (CNF_OR_POS :args (_let_223)) :args ((or _let_159 _let_156 _let_222 (not _let_223)))) _let_675 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)) _let_274 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_221 (= Z X26)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_160 2)) (CONG _let_673 (MACRO_SR_PRED_INTRO :args ((= (not _let_156) _let_155))) :args _let_192)) :args ((or _let_155 _let_160))) _let_674 _let_672 _let_502 _let_337 (AND_ELIM _let_325 :args (48)) _let_337 _let_204 _let_500 _let_199 (MACRO_RESOLUTION_TRUST _let_532 _let_579 _let_500 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_497 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_496)) :args _let_495)) _let_502 _let_337 (REORDERING (CNF_OR_POS :args (_let_629)) :args ((or _let_623 _let_619 _let_626 (not _let_629)))) _let_274 _let_671 _let_669 _let_668 _let_666 _let_374 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_625 (= X64 X105)))) _let_373 _let_665 _let_371 (AND_ELIM _let_325 :args (93)) _let_337 _let_370 _let_401 _let_385 _let_400 _let_388 _let_394 _let_389 _let_664 _let_663 _let_662 _let_452 _let_337 _let_556 _let_660 (MACRO_RESOLUTION_TRUST _let_658 (REORDERING (CNF_OR_POS :args (_let_633)) :args ((or _let_54 _let_179 _let_630 (not _let_633)))) _let_445 _let_444 _let_443 _let_439 _let_438 _let_435 _let_430 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (tptp.a928 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)) _let_424 _let_610 _let_337 _let_609 _let_608 _let_607 _let_604 _let_603 _let_602 _let_601 _let_657 _let_596 _let_381 _let_365 _let_363 (MACRO_RESOLUTION_TRUST _let_593 _let_576 _let_591 _let_577 _let_337 _let_589 _let_571 _let_526 _let_525 _let_524 _let_448 _let_522 _let_446 (AND_ELIM _let_325 :args (64)) _let_337 _let_439 _let_656 _let_438 _let_652 _let_435 _let_651 _let_430 _let_650 _let_424 _let_610 _let_337 _let_649 _let_647 _let_578 _let_609 _let_646 _let_616 _let_317 _let_612 _let_611 :args ((or tptp.hskp28 _let_263 _let_214 _let_259 _let_599 _let_346 _let_588) false _let_261 true _let_139 false _let_262 false tptp.ndr1_0 true _let_137 true _let_266 true _let_65 false _let_67 false _let_68 true _let_178 false _let_69 true _let_180 false tptp.hskp14 false tptp.ndr1_0 false _let_59 true _let_644 false tptp.hskp17 true _let_643 true tptp.hskp22 false _let_640 true _let_36 false _let_641 false _let_267 false _let_265 false tptp.ndr1_0 false _let_636 true _let_638 true _let_176 true _let_264 true _let_639 true _let_174 true _let_141 false _let_2 true _let_258)) _let_364 _let_355 _let_581 _let_352 _let_580 _let_351 :args ((or _let_263 _let_214 _let_347 _let_346) false _let_630 true _let_54 true _let_56 false _let_58 false _let_59 false tptp.hskp17 true tptp.hskp22 true _let_36 false _let_633 false _let_267 false _let_265 false tptp.ndr1_0 true _let_264 true _let_174 true _let_587 false _let_17 false tptp.hskp27 true tptp.hskp29 true _let_8 false _let_632 false _let_584 false _let_185 true tptp.hskp31 true _let_4 false _let_259 true tptp.hskp28 true _let_12 false _let_252 false _let_341 false _let_250 false _let_169)) _let_597 :args ((or _let_211 _let_214 _let_216 _let_217 _let_218 _let_215 _let_346) true _let_245 false _let_152 true _let_235 false _let_219 false tptp.ndr1_0 true _let_629 true _let_220 true _let_626 true _let_140 false _let_628 true _let_146 true _let_144 false _let_625 false _let_149 false _let_142 true _let_145 false (forall ((X105 $$unsorted)) (or (not (tptp.c0_1 X105)) (not (tptp.c1_1 X105)) (not (tptp.c2_1 X105)))) false tptp.ndr1_0 true _let_184 true tptp.hskp9 true _let_185 true _let_102 true _let_188 false _let_297 false _let_135 false _let_618 false _let_620 false _let_622 false _let_296 false tptp.ndr1_0 false tptp.hskp0 true _let_624 true _let_165 true _let_263)) _let_531 _let_530 _let_504 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= X15 X104)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= X15 X56)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= V X76)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= V X27)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_513 :args (tptp.a913 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_512)) :args _let_511)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_617) :args (tptp.a913 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X15) true))))) :args _let_617)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a913 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_594)) :args _let_457)) (REORDERING (CNF_OR_POS :args (_let_210)) :args ((or _let_78 _let_208 _let_206 (not _let_210)))) (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_76 _let_208 _let_206 (not _let_209)))) (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_78 _let_76 _let_206 (not _let_207)))) (MACRO_RESOLUTION_TRUST _let_439 _let_438 _let_446 _let_435 _let_448 _let_430 _let_571 _let_424 _let_577 _let_337 _let_610 _let_337 _let_578 _let_609 _let_616 _let_597 _let_576 _let_595 _let_593 _let_592 _let_591 _let_364 _let_612 _let_611 _let_590 _let_589 _let_355 (MACRO_RESOLUTION_TRUST _let_439 _let_438 _let_446 _let_435 _let_448 _let_430 _let_571 _let_424 _let_577 _let_337 _let_610 _let_337 _let_578 _let_609 _let_608 _let_607 _let_604 _let_603 _let_602 _let_601 _let_597 _let_576 _let_596 _let_595 _let_593 _let_381 _let_592 _let_591 _let_365 _let_364 _let_590 _let_589 _let_363 _let_355 _let_582 _let_581 _let_352 _let_580 _let_351 :args ((or _let_65 _let_49 _let_233 _let_138 _let_238 _let_237 _let_347 _let_334 _let_346) false tptp.hskp17 true _let_59 true tptp.hskp22 false _let_180 true _let_36 false _let_178 false _let_267 false _let_266 false tptp.ndr1_0 false _let_265 false tptp.ndr1_0 true _let_176 true _let_264 true _let_174 true _let_587 false _let_17 false tptp.hskp27 true tptp.hskp29 true _let_8 true _let_263 true _let_262 false _let_584 true _let_211 true _let_261 false _let_185 true _let_260 true _let_139 true tptp.hskp31 true tptp.hskp28 true _let_253 true _let_137 true _let_4 true _let_12 false _let_255 false _let_252 false _let_341 false _let_250 false _let_169)) _let_582 _let_581 _let_580 _let_351 _let_579 _let_532 _let_199 _let_500 _let_502 _let_337 _let_531 _let_530 _let_504 _let_514 _let_510 _let_509 _let_508 _let_507 _let_503 _let_501 _let_337 _let_499 _let_529 _let_528 _let_526 _let_525 _let_524 _let_522 _let_521 _let_337 _let_520 _let_275 _let_274 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a913 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (tptp.a913 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_268)) (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_76 _let_208 _let_205 (not _let_230)))) (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_78 _let_76 _let_205 (not _let_229)))) :args ((or _let_78 _let_76 _let_208 _let_205) false tptp.hskp17 true _let_59 true tptp.hskp22 false _let_180 true _let_36 false _let_178 false _let_267 false _let_266 false tptp.ndr1_0 false _let_265 false tptp.ndr1_0 true _let_176 true _let_264 true _let_174 true _let_263 true _let_262 true _let_211 true _let_261 true _let_260 true _let_139 true tptp.hskp28 false _let_2 true _let_258 true _let_253 true _let_137 true _let_12 true _let_259 false _let_255 false _let_252 false _let_250 false _let_169 false _let_165 false _let_245 false _let_151 false _let_152 false _let_219 false tptp.ndr1_0 true _let_218 true _let_217 true _let_216 true _let_213 true _let_239 true _let_49 false _let_51 false _let_52 false _let_53 false tptp.hskp18 false tptp.ndr1_0 true _let_236 true _let_235 true _let_234 true _let_65 false _let_67 false _let_68 false _let_69 false tptp.hskp14 false tptp.ndr1_0 true _let_141 true _let_232 true _let_220 true _let_140 true _let_231 true _let_230 true _let_229)) (REORDERING (CNF_AND_POS :args (_let_81 3)) :args ((or _let_77 _let_228))) (REORDERING (CNF_AND_POS :args (_let_81 2)) :args ((or _let_79 _let_228))) (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_80 _let_228))) :args (_let_228 false (forall ((X77 $$unsorted)) (or (tptp.c2_1 X77) (not (tptp.c0_1 X77)) (not (tptp.c1_1 X77)))) false tptp.ndr1_0 true _let_185 true tptp.hskp21 true _let_227 true _let_42 false _let_222 false _let_225 false _let_223 false _let_140 false _let_221 false _let_155 false _let_157 true _let_159 false _let_220 false tptp.ndr1_0 false (forall ((X26 $$unsorted)) (or (tptp.c0_1 X26) (tptp.c2_1 X26) (not (tptp.c3_1 X26)))) false tptp.ndr1_0 true _let_160 true _let_219 true _let_152 true _let_151 true _let_218 true _let_217 true _let_216 true _let_215 true _let_214 true (forall ((X76 $$unsorted)) (or (tptp.c1_1 X76) (tptp.c3_1 X76) (not (tptp.c2_1 X76)))) true (forall ((X27 $$unsorted)) (or (tptp.c1_1 X27) (tptp.c3_1 X27) (not (tptp.c2_1 X27)))) true _let_213 true _let_212 true _let_211 true _let_210 true _let_209 true _let_207 false _let_205 true _let_76 true _let_78 false _let_80)) :args (_let_82 true _let_81)))) (let ((_let_683 (not _let_111))) (let ((_let_684 (REORDERING (CNF_AND_POS :args (_let_111 1)) :args ((or _let_110 _let_683))))) (let ((_let_685 (REORDERING (CNF_AND_POS :args (_let_111 2)) :args ((or _let_109 _let_683))))) (let ((_let_686 (REORDERING (CNF_AND_POS :args (_let_111 3)) :args ((or _let_108 _let_683))))) (let ((_let_687 (not _let_163))) (let ((_let_688 (_let_164))) (let ((_let_689 (or _let_222 _let_159 _let_158))) (let ((_let_690 (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (tptp.c2_1 X16) (not (tptp.c1_1 X16)))))) (let ((_let_691 (forall ((X23 $$unsorted)) (or (tptp.c0_1 X23) (tptp.c2_1 X23) (not (tptp.c1_1 X23)))))) (let ((_let_692 (or _let_107 _let_171 _let_162))) (let ((_let_693 (or _let_626 _let_623 _let_621))) (let ((_let_694 (or _let_623 _let_627 _let_619))) (let ((_let_695 (forall ((X18 $$unsorted)) (or (tptp.c1_1 X18) (tptp.c2_1 X18) (tptp.c3_1 X18))))) (let ((_let_696 (or _let_87 _let_85 _let_83))) (let ((_let_697 (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_143 _let_150 _let_148 (not _let_177)))))) (let ((_let_698 (_let_175))) (let ((_let_699 ((not (= (tptp.c0_1 X24) false))))) (let ((_let_700 (ASSUME :args _let_698))) (let ((_let_701 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_700 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_699)) :args _let_698)))) (let ((_let_702 (not _let_116))) (let ((_let_703 (or _let_114 _let_112 _let_702))) (let ((_let_704 (or _let_640 _let_637 _let_635))) (let ((_let_705 (forall ((X39 $$unsorted)) (or (tptp.c3_1 X39) (not (tptp.c1_1 X39)) (not (tptp.c2_1 X39)))))) (let ((_let_706 (tptp.c3_1 tptp.a909))) (let ((_let_707 (not _let_706))) (let ((_let_708 (or _let_100 _let_96 _let_707))) (let ((_let_709 (or _let_98 _let_96 _let_706))) (let ((_let_710 (or _let_100 _let_98 _let_706))) (let ((_let_711 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_712 (not _let_711))) (let ((_let_713 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_714 (or _let_713 (not (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)) _let_712))) (let ((_let_715 (not _let_94))) (let ((_let_716 (or _let_92 _let_90 _let_715))) (let ((_let_717 (or _let_293 _let_304 _let_292))) (let ((_let_718 (forall ((X57 $$unsorted)) (or (tptp.c0_1 X57) (not (tptp.c1_1 X57)) (not (tptp.c3_1 X57)))))) (let ((_let_719 (forall ((X7 $$unsorted)) (or (tptp.c0_1 X7) (tptp.c1_1 X7) (not (tptp.c3_1 X7)))))) (let ((_let_720 (forall ((X5 $$unsorted)) (or (tptp.c0_1 X5) (tptp.c1_1 X5) (not (tptp.c3_1 X5)))))) (let ((_let_721 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_722 (not _let_721))) (let ((_let_723 (or _let_713 _let_722 _let_712))) (let ((_let_724 (or _let_713 _let_721 _let_712))) (let ((_let_725 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_639 2)) (CONG _let_648 (MACRO_SR_PRED_INTRO :args ((= (not _let_635) _let_634))) :args _let_192)) :args ((or _let_634 _let_639))))) (let ((_let_726 (not _let_703))) (let ((_let_727 (not _let_117))) (let ((_let_728 (or _let_638 _let_635 _let_642))) (let ((_let_729 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_644 (= X55 X57)))))) (let ((_let_730 (REORDERING (AND_ELIM _let_325 :args (65)) :args ((or tptp.hskp10 tptp.hskp12 _let_420 _let_718))))) (let ((_let_731 (AND_ELIM _let_325 :args (10)))) (let ((_let_732 (not _let_716))) (let ((_let_733 (not _let_95))) (let ((_let_734 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_716)) :args ((or _let_92 _let_90 _let_715 _let_732))) (REORDERING (CNF_AND_POS :args (_let_95 3)) :args ((or _let_91 _let_733))) (REORDERING (CNF_AND_POS :args (_let_95 2)) :args ((or _let_93 _let_733))) (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_94 _let_733))) :args ((or _let_733 _let_732) true _let_90 true _let_92 false _let_94)))) (let ((_let_735 (_let_690))) (let ((_let_736 ((not (= (tptp.c0_1 X16) true))))) (let ((_let_737 (ASSUME :args _let_735))) (let ((_let_738 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_737 :args (tptp.a910 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_735)))) (let ((_let_739 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_690 (= X16 X23)))))) (let ((_let_740 (AND_ELIM _let_325 :args (43)))) (let ((_let_741 (AND_ELIM _let_325 :args (46)))) (let ((_let_742 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_231 (= X12 X18)))))) (let ((_let_743 (AND_ELIM _let_325 :args (11)))) (let ((_let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (tptp.a912 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_268)))) (let ((_let_745 (not _let_696))) (let ((_let_746 (not _let_89))) (let ((_let_747 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_696)) :args ((or _let_87 _let_85 _let_83 _let_745))) (REORDERING (CNF_AND_POS :args (_let_89 3)) :args ((or _let_84 _let_746))) (REORDERING (CNF_AND_POS :args (_let_89 2)) :args ((or _let_86 _let_746))) (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_88 _let_746))) :args ((or _let_746 _let_745) true _let_83 true _let_85 true _let_87)))) (let ((_let_748 (MACRO_RESOLUTION_TRUST _let_747 _let_744 _let_743 _let_742 _let_741 _let_337 _let_740 _let_337 _let_739 _let_738 _let_734 _let_731 _let_730 _let_337 _let_682 _let_729 _let_656 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_574 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_573)) :args _let_572)) _let_652 (REORDERING (CNF_OR_POS :args (_let_728)) :args ((or _let_638 _let_635 _let_642 (not _let_728)))) :args ((or _let_175 _let_638 _let_637 _let_635 _let_642) false _let_696 false _let_89 false _let_231 false tptp.hskp11 false tptp.ndr1_0 false _let_695 false tptp.ndr1_0 true _let_691 true _let_690 true _let_716 false _let_95 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp12 true _let_718 true _let_644 true _let_174 true _let_643 true _let_728)))) (let ((_let_749 (_let_705))) (let ((_let_750 (REORDERING (CNF_OR_POS :args (_let_709)) :args ((or _let_98 _let_96 _let_706 (not _let_709)))))) (let ((_let_751 (_let_614))) (let ((_let_752 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (tptp.a909 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_268)))) (let ((_let_753 (or _let_98 _let_96 _let_707))) (let ((_let_754 (forall ((X25 $$unsorted)) (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25)))))) (let ((_let_755 (AND_ELIM _let_325 :args (47)))) (let ((_let_756 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_690 (= X16 X25)))))) (let ((_let_757 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)))) (let ((_let_758 (REORDERING (CNF_OR_POS :args (_let_723)) :args ((or _let_713 _let_712 _let_722 (not _let_723)))))) (let ((_let_759 (REORDERING (CNF_OR_POS :args (_let_724)) :args ((or _let_713 _let_712 _let_721 (not _let_724)))))) (let ((_let_760 (_let_720))) (let ((_let_761 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_760) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X5) true))))) :args _let_760)))) (let ((_let_762 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_720 (= X5 X7)))))) (let ((_let_763 (AND_ELIM _let_325 :args (38)))) (let ((_let_764 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_513 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X6) false))))) :args _let_511)))) (let ((_let_765 (not _let_693))) (let ((_let_766 (REORDERING (CNF_OR_POS :args (_let_693)) :args ((or _let_623 _let_621 _let_626 _let_765))))) (let ((_let_767 (MACRO_RESOLUTION_TRUST _let_759 _let_758 _let_761 _let_757 _let_762 _let_729 _let_763 _let_337 _let_730 _let_337 _let_682 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_518 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_517)) :args _let_516)) _let_731 (REORDERING (CNF_OR_POS :args (_let_717)) :args ((or _let_293 _let_292 _let_304 (not _let_717)))) _let_734 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_486 1)) (CONG (REFL :args _let_493) (MACRO_SR_PRED_INTRO :args ((= (not _let_304) _let_300))) :args _let_192)) :args ((or _let_300 _let_486))) _let_489 _let_484 _let_738 _let_494 _let_482 _let_740 _let_337 (MACRO_RESOLUTION_TRUST _let_529 _let_528 _let_499 _let_522 _let_501 _let_337 _let_521 _let_337 _let_275 _let_675 _let_678 _let_680 (AND_ELIM _let_325 :args (68)) _let_337 _let_668 _let_503 (MACRO_RESOLUTION_TRUST _let_766 _let_671 :args ((or _let_623 _let_621 _let_765 _let_670) true _let_626)) _let_510 _let_764 _let_514 _let_531 _let_547 _let_337 _let_548 _let_557 _let_553 _let_763 _let_337 _let_762 _let_761 _let_759 _let_758 _let_757 _let_729 _let_730 _let_337 _let_682 _let_731 _let_734 _let_738 _let_756 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_231 (= X12 X63)))) _let_755 _let_337 _let_682 _let_752 _let_469 _let_750 _let_475 (REORDERING (CNF_OR_POS :args (_let_753)) :args ((or _let_98 _let_96 _let_707 (not _let_753)))) _let_479 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_478 :args (tptp.a909 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_477)) :args _let_476)) :args ((or tptp.hskp4 _let_98 _let_96 _let_141 _let_533 _let_480 _let_623 _let_621 _let_713 _let_712) true _let_234 false _let_235 false _let_69 false _let_236 false tptp.ndr1_0 false tptp.hskp14 false tptp.ndr1_0 true _let_232 true _let_140 true _let_225 false _let_42 false tptp.hskp21 false tptp.ndr1_0 true _let_625 true tptp.hskp18 true _let_628 true _let_53 false _let_693 false _let_239 false _let_213 false _let_218 false tptp.ndr1_0 true tptp.hskp23 true _let_30 false _let_536 false _let_307 false tptp.ndr1_0 true _let_719 true _let_720 true _let_724 true _let_721 false _let_723 false _let_644 false _let_718 false tptp.ndr1_0 true tptp.hskp12 true tptp.hskp10 true _let_95 false _let_716 false _let_690 true (forall ((X63 $$unsorted)) (or (tptp.c1_1 X63) (tptp.c2_1 X63) (tptp.c3_1 X63))) false _let_754 false tptp.ndr1_0 true tptp.hskp12 true _let_231 true tptp.hskp13 true _let_709 true _let_75 true _let_706 false _let_290 false _let_753)) _let_742 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_714 2)) (CONG (REFL :args (_let_714)) (MACRO_SR_PRED_INTRO :args ((= (not _let_712) _let_711))) :args _let_192)) :args ((or _let_711 _let_714))) (CNF_OR_NEG :args (_let_714 0)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a909 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_752 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_751)) :args _let_751)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_614) _let_174))) (REFL :args ((not _let_714))) :args _let_192)) (REORDERING (CNF_OR_POS :args (_let_710)) :args ((or _let_100 _let_98 _let_706 (not _let_710)))) _let_750 _let_575 (REORDERING (CNF_OR_POS :args (_let_708)) :args ((or _let_100 _let_96 _let_707 (not _let_708)))) _let_570 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a909 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_563)) :args _let_490)) _let_564 (MACRO_RESOLUTION_TRUST _let_528 _let_522 _let_529 (AND_ELIM _let_325 :args (53)) _let_337 _let_558 _let_337 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_221 (= Z X38)))) _let_561 :args ((or _let_221 _let_185 _let_705) false _let_69 false _let_234 false tptp.hskp14 false tptp.ndr1_0 false _let_235 false tptp.ndr1_0 true (forall ((X38 $$unsorted)) (or (tptp.c0_1 X38) (tptp.c2_1 X38) (not (tptp.c3_1 X38)))) true _let_537)) _let_567 _let_566 _let_562 (AND_ELIM _let_325 :args (58)) _let_337 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_265 (= X43 X46)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_749) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X39) true))))) :args _let_749)) _let_650 (REORDERING (CNF_OR_POS :args (_let_704)) :args ((or _let_637 _let_635 _let_640 (not _let_704)))) _let_651 _let_748 (AND_ELIM _let_325 :args (4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_703)) :args ((or _let_114 _let_112 _let_702 _let_726))) (REORDERING (CNF_AND_POS :args (_let_117 3)) :args ((or _let_113 _let_727))) (REORDERING (CNF_AND_POS :args (_let_117 2)) :args ((or _let_115 _let_727))) (REORDERING (CNF_AND_POS :args (_let_117 1)) :args ((or _let_116 _let_727))) :args ((or _let_727 _let_726) true _let_112 true _let_114 false _let_116)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a904 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_594)) :args _let_457)) _let_452 _let_337 _let_394 _let_400 _let_399 _let_398 _let_397 _let_401 _let_725 _let_649 _let_647 (AND_ELIM _let_325 :args (63)) _let_337 _let_646 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_141 (= X49 X53)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_175 (= X24 X54)))) _let_546 _let_662 _let_663 _let_660 :args ((or _let_165 _let_175 _let_185 _let_141) true _let_721 false _let_724 false _let_723 false _let_720 false _let_644 false _let_719 false tptp.ndr1_0 false _let_718 false tptp.ndr1_0 true tptp.hskp12 true _let_307 true tptp.hskp10 true _let_717 true _let_95 false _let_300 false _let_291 true _let_293 false _let_716 true _let_486 true _let_295 false _let_690 false tptp.ndr1_0 true _let_261 true _let_695 false _let_711 true _let_713 true _let_343 true _let_231 true _let_714 true _let_710 true _let_709 true _let_174 true _let_706 true _let_544 false _let_708 false _let_541 false _let_221 true _let_103 false _let_105 false _let_106 false tptp.hskp7 false tptp.ndr1_0 true (forall ((X46 $$unsorted)) (or (tptp.c0_1 X46) (tptp.c3_1 X46) (not (tptp.c1_1 X46)))) true _let_705 true _let_265 true _let_704 true _let_641 true _let_640 true tptp.hskp4 true _let_117 false _let_703 false _let_211 false tptp.ndr1_0 true _let_296 true _let_297 true _let_96 true _let_98 true _let_100 false _let_102 false _let_634 false _let_636 true _let_638 false tptp.hskp9 false tptp.ndr1_0 true _let_639 true (forall ((X53 $$unsorted)) (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c2_1 X53)))) true (forall ((X54 $$unsorted)) (or (not (tptp.c0_1 X54)) (not (tptp.c1_1 X54)) (not (tptp.c3_1 X54)))) true _let_533 false _let_622 false _let_620 true _let_624)))) (let ((_let_768 (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_162 _let_161 _let_170 (not _let_173)))))) (let ((_let_769 (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_623 _let_619 _let_627 (not _let_694)))))) (let ((_let_770 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_574 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_615)) :args _let_572)))) (let ((_let_771 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_700 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_699)) :args _let_698)))) (let ((_let_772 (forall ((X74 $$unsorted)) (or (tptp.c2_1 X74) (tptp.c3_1 X74) (not (tptp.c1_1 X74)))))) (let ((_let_773 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_774 (not _let_773))) (let ((_let_775 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_776 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_777 (or _let_776 _let_775 _let_774))) (let ((_let_778 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_779 (not _let_778))) (let ((_let_780 (or _let_776 _let_775 _let_779))) (let ((_let_781 (or _let_778 _let_776 _let_774))) (let ((_let_782 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_178 (= X33 X74)))))) (let ((_let_783 (not _let_178))) (let ((_let_784 (_let_783))) (let ((_let_785 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_784)) :args _let_784)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_783) _let_178))) (REFL :args ((not _let_777))) :args _let_192)))) (let ((_let_786 (forall ((X73 $$unsorted)) (or (tptp.c1_1 X73) (tptp.c2_1 X73) (not (tptp.c3_1 X73)))))) (let ((_let_787 (AND_ELIM _let_325 :args (73)))) (let ((_let_788 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_261 (= X1 X73)))))) (let ((_let_789 (MACRO_RESOLUTION_TRUST _let_316 _let_323 _let_521 _let_337 _let_522 _let_528 _let_320 _let_322 _let_321 _let_326 _let_338 _let_337 _let_469 _let_475 _let_529 _let_479 _let_499 _let_788 _let_501 _let_337 _let_787 _let_337 _let_503 _let_510 _let_514 _let_504 _let_502 _let_337 _let_275 _let_274 _let_500 (REORDERING (EQUIV_ELIM1 _let_200) :args ((or _let_154 _let_202))) :args ((or _let_140 _let_772 _let_154) true _let_278 false _let_141 false tptp.ndr1_0 true tptp.hskp14 true _let_69 true _let_126 false _let_128 false _let_129 false _let_130 false tptp.hskp1 false tptp.ndr1_0 true tptp.hskp13 true _let_75 false _let_234 false _let_290 false _let_235 false _let_261 false _let_236 false tptp.ndr1_0 false _let_786 false tptp.ndr1_0 true tptp.hskp18 true _let_53 false _let_239 false _let_213 false _let_216 false tptp.ndr1_0 true _let_232 true _let_220 true _let_219 true _let_152)))) (let ((_let_790 (CNF_OR_NEG :args (_let_777 0)))) (let ((_let_791 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_777 2)) (CONG (REFL :args (_let_777)) (MACRO_SR_PRED_INTRO :args ((= (not _let_774) _let_773))) :args _let_192)) :args ((or _let_773 _let_777))))) (let ((_let_792 (REORDERING (CNF_OR_POS :args (_let_781)) :args ((or _let_776 _let_774 _let_778 (not _let_781)))))) (let ((_let_793 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_737 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_735)))) (let ((_let_794 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_377 :args (tptp.a939 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_376)) :args _let_375)))) (let ((_let_795 (AND_ELIM _let_325 :args (59)))) (let ((_let_796 (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_31 _let_181 _let_182 (not _let_183)))))) (let ((_let_797 (_let_189))) (let ((_let_798 ((not (= (tptp.c0_1 X47) true))))) (let ((_let_799 (ASSUME :args _let_797))) (let ((_let_800 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (tptp.a939 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)))) (let ((_let_801 (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_33 _let_31 _let_190 (not _let_191)))))) (let ((_let_802 (MACRO_RESOLUTION_TRUST _let_801 _let_800 _let_796 _let_795 _let_337 _let_429 _let_428 _let_427 _let_389 _let_435 _let_388 _let_438 _let_385 _let_439 _let_370 _let_446 _let_665 _let_794 _let_448 _let_697 (MACRO_RESOLUTION_TRUST _let_755 _let_337 _let_682 _let_756 _let_469 _let_793 _let_475 _let_792 _let_479 (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_776 _let_775 _let_779 (not _let_780)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)) _let_576 _let_791 (CNF_OR_NEG :args (_let_777 1)) _let_790 _let_789 _let_577 _let_337 _let_785 _let_782 _let_571 :args ((or _let_178 _let_176 _let_154) false tptp.ndr1_0 true tptp.hskp12 true _let_754 true tptp.hskp13 true _let_690 true _let_75 true _let_781 false _let_290 true _let_778 false _let_780 false _let_261 false _let_773 true _let_775 true _let_776 false _let_140 false _let_262 false tptp.ndr1_0 true _let_777 true _let_772 true _let_266)) _let_701 _let_578 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_175 (= X24 X89)))) _let_770 (AND_ELIM _let_325 :args (81)) _let_337 _let_768 _let_364 (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_162 _let_161 _let_171 (not _let_172)))) _let_355 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_350 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_349)) :args _let_348)) _let_351 (MACRO_RESOLUTION_TRUST _let_747 _let_744 _let_743 _let_742 _let_741 _let_337 _let_740 _let_337 _let_771 _let_770 _let_769 _let_768 _let_766 (REORDERING (CNF_OR_POS :args (_let_692)) :args ((or _let_107 _let_162 _let_171 (not _let_692)))) _let_764 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_513 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_512)) :args _let_511)) _let_739 _let_531 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_737 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_735)) _let_556 (REORDERING (CNF_OR_POS :args (_let_689)) :args ((or _let_159 _let_158 _let_222 (not _let_689)))) _let_389 _let_679 _let_388 _let_681 _let_385 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_325 :args (72)) _let_337 _let_682 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_261 (= X1 X71)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= V X72)))) _let_479 _let_459 _let_475 (MACRO_RESOLUTION_TRUST _let_467 _let_465 _let_464 _let_463 _let_462 :args ((or _let_461 _let_466 _let_332) true _let_286 true _let_43 true _let_45 false _let_47)) _let_469 _let_460 _let_338 _let_337 _let_454 _let_337 _let_326 _let_324 _let_327 _let_316 _let_767 _let_701 _let_697 _let_665 _let_370 _let_455 :args ((or _let_165 _let_185 _let_154 _let_150 _let_148) false tptp.ndr1_0 true tptp.hskp12 true (forall ((X71 $$unsorted)) (or (tptp.c1_1 X71) (tptp.c2_1 X71) (not (tptp.c3_1 X71)))) true (forall ((X72 $$unsorted)) (or (tptp.c1_1 X72) (tptp.c3_1 X72) (not (tptp.c2_1 X72)))) true _let_261 true _let_211 true _let_290 true _let_331 false _let_75 false _let_48 false tptp.hskp13 false tptp.ndr1_0 false tptp.hskp20 false tptp.ndr1_0 true tptp.hskp1 true _let_130 false _let_288 false _let_278 false _let_141 true _let_175 true _let_177 false _let_142 true _let_184 true _let_453)) _let_664 _let_663 _let_662 _let_660 :args ((or _let_107 _let_165 _let_154 _let_162 _let_161 _let_159 _let_158 _let_150 _let_148) false _let_696 false _let_89 false _let_231 false tptp.hskp11 false tptp.ndr1_0 false _let_695 false tptp.ndr1_0 true _let_175 true _let_174 true _let_694 true _let_173 false _let_626 true _let_170 false _let_693 false _let_692 true _let_691 false _let_213 true _let_690 false _let_218 true _let_689 true tptp.hskp0 true _let_222 true _let_135 false _let_227 false _let_188 false _let_185 false _let_618 false _let_620 false _let_622 true _let_624)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_164 (= X14 X88)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_688) :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X14) true))))) :args _let_688)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_107 _let_162 _let_161 _let_687))) _let_686 _let_685 _let_684 :args ((or _let_683 _let_687) true _let_107 false _let_109 false _let_110)) _let_686 _let_685 _let_684 (AND_ELIM _let_325 :args (6)) _let_674 _let_672 (REORDERING (AND_ELIM _let_325 :args (89)) :args ((or tptp.hskp6 tptp.hskp12 _let_420 _let_153))) _let_337 _let_682 _let_204 _let_201 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_152 (= X28 X99)))) _let_199 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_151 2)) (CONG _let_195 (MACRO_SR_PRED_INTRO :args ((= (not _let_148) _let_144))) :args _let_192)) :args ((or _let_144 _let_151))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_151 1)) (CONG _let_195 _let_193 :args _let_192)) :args ((or _let_149 _let_151))) :args (_let_151 false _let_191 false _let_182 false _let_189 false tptp.ndr1_0 true _let_31 true _let_33 false _let_35 true tptp.hskp0 false _let_36 true _let_135 false tptp.hskp22 false _let_188 true tptp.hskp17 false _let_185 true _let_59 false _let_184 false _let_183 false _let_180 true _let_142 false _let_178 false _let_177 true _let_176 false _let_175 true _let_174 false (forall ((X89 $$unsorted)) (or (not (tptp.c0_1 X89)) (not (tptp.c1_1 X89)) (not (tptp.c3_1 X89)))) false tptp.ndr1_0 true _let_173 true tptp.hskp28 true _let_170 true _let_12 false _let_172 false _let_169 false _let_165 true (forall ((X88 $$unsorted)) (or (tptp.c1_1 X88) (not (tptp.c2_1 X88)) (not (tptp.c3_1 X88)))) true _let_164 true _let_163 true _let_107 false _let_109 false _let_110 false _let_111 false _let_157 true _let_159 false tptp.hskp6 false tptp.ndr1_0 true tptp.hskp12 true _let_160 true _let_154 true _let_153 true _let_152 false _let_144 false _let_149)))) (let ((_let_803 (or _let_776 _let_779 _let_774))) (let ((_let_804 (or _let_638 _let_640 _let_635))) (let ((_let_805 (or _let_630 _let_56 _let_179))) (let ((_let_806 (forall ((X4 $$unsorted)) (or (tptp.c3_1 X4) (not (tptp.c0_1 X4)) (not (tptp.c1_1 X4)))))) (let ((_let_807 (not _let_62))) (let ((_let_808 (not _let_63))) (let ((_let_809 (or _let_60 _let_808 _let_807))) (let ((_let_810 (forall ((X78 $$unsorted)) (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c2_1 X78)))))) (let ((_let_811 (not _let_803))) (let ((_let_812 (_let_806))) (let ((_let_813 (not _let_809))) (let ((_let_814 (not _let_64))) (let ((_let_815 (or _let_279 _let_309 _let_282))) (let ((_let_816 (or _let_283 _let_309 _let_280))) (let ((_let_817 (MACRO_RESOLUTION_TRUST _let_469 _let_755 _let_337 _let_682 _let_475 _let_756 _let_479 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_737 :args (tptp.a928 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_735)) _let_788 (REORDERING (CNF_OR_POS :args (_let_805)) :args ((or _let_56 _let_179 _let_630 (not _let_805)))) _let_787 _let_337 _let_658 _let_782 _let_444 _let_443 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)) _let_795 _let_337 (REORDERING (CNF_OR_POS :args (_let_816)) :args ((or _let_283 _let_309 _let_280 (not _let_816)))) _let_439 (REORDERING (CNF_OR_POS :args (_let_815)) :args ((or _let_309 _let_282 _let_279 (not _let_815)))) _let_446 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_377 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_376)) :args _let_375)) _let_448 :args ((or tptp.hskp0 _let_783 _let_283 _let_309 _let_282) false _let_189 false tptp.ndr1_0 true _let_816 true tptp.hskp17 false _let_279 true _let_59 false _let_815 false _let_180)) _let_439 _let_414 _let_413 _let_412 _let_795 _let_337 _let_419 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)) _let_650 (REORDERING (CNF_OR_POS :args (_let_804)) :args ((or _let_638 _let_635 _let_640 (not _let_804)))) _let_651 _let_748 _let_771 _let_769 _let_503 _let_766 _let_510 _let_764 _let_514 _let_531 _let_664 _let_663 _let_662 _let_556 _let_660 (MACRO_RESOLUTION_TRUST _let_592 _let_590 _let_509 _let_508 _let_507 _let_595 _let_503 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= V X78)))) _let_787 _let_337 (REORDERING (AND_ELIM _let_325 :args (76)) :args ((or tptp.hskp15 tptp.hskp29 _let_420 _let_810))) _let_337 _let_788 (AND_ELIM _let_325 :args (15)) _let_479 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_809)) :args ((or _let_60 _let_808 _let_807 _let_813))) (REORDERING (CNF_AND_POS :args (_let_64 3)) :args ((or _let_61 _let_814))) (REORDERING (CNF_AND_POS :args (_let_64 2)) :args ((or _let_62 _let_814))) (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_63 _let_814))) :args ((or _let_814 _let_813) true _let_60 false _let_62 false _let_63)) _let_475 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_812) :args (tptp.a921 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X4) false))))) :args _let_812)) _let_469 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_806 (= X4 X22)))) _let_755 _let_337 _let_682 (AND_ELIM _let_325 :args (45)) _let_337 _let_756 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_690 (= X16 X21)))) _let_793 _let_792 (REORDERING (CNF_OR_POS :args (_let_803)) :args ((or _let_776 _let_774 _let_779 _let_811))) _let_791 _let_790 _let_785 _let_782 (MACRO_RESOLUTION_TRUST _let_796 _let_801 _let_429 _let_428 _let_427 _let_800 _let_435 _let_795 _let_337 _let_438 _let_439 _let_446 _let_794 _let_448 :args ((or tptp.hskp0 tptp.hskp28 _let_783) true _let_182 true _let_31 true _let_33 false _let_35 false _let_191 false _let_36 false _let_189 false tptp.ndr1_0 false tptp.hskp22 true tptp.hskp17 true _let_59 false _let_183 false _let_180)) _let_602 _let_364 _let_601 _let_355 _let_582 _let_580 _let_351 :args ((or tptp.hskp0 _let_347 _let_598 _let_811) true _let_253 true _let_49 false _let_51 false _let_52 false _let_260 false _let_53 false _let_211 false tptp.hskp18 false tptp.ndr1_0 false _let_810 false tptp.ndr1_0 true _let_786 true tptp.hskp15 true _let_261 true _let_64 true _let_290 false _let_809 false _let_75 false _let_806 false tptp.hskp13 false tptp.ndr1_0 true tptp.hskp12 false (forall ((X22 $$unsorted)) (or (tptp.c3_1 X22) (not (tptp.c0_1 X22)) (not (tptp.c1_1 X22)))) false tptp.ndr1_0 true _let_754 true (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c1_1 X21)))) true _let_690 true _let_781 true _let_778 false _let_773 true _let_776 true _let_777 true _let_772 true _let_178 true tptp.hskp29 true tptp.hskp28 true _let_8 true _let_12 false _let_255 false _let_250 false _let_169)) _let_725 _let_649 _let_647 _let_646 _let_316 _let_324 _let_326 _let_390 _let_337 _let_391 _let_394 _let_400 _let_401 (REORDERING (AND_ELIM _let_325 :args (97)) :args ((or tptp.hskp0 tptp.hskp9 tptp.hskp12))) _let_682 _let_389 _let_388 _let_657 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)) _let_596 _let_385 :args (_let_368 false tptp.hskp13 false tptp.ndr1_0 true tptp.hskp12 true _let_75 true _let_754 false _let_290 true _let_690 false _let_261 true _let_805 false _let_786 false tptp.ndr1_0 true _let_630 true _let_772 true _let_56 false _let_58 true _let_178 false _let_59 false _let_281 true _let_309 true _let_283 false tptp.hskp17 false tptp.ndr1_0 true _let_311 true _let_189 true _let_265 true _let_804 true _let_641 true _let_640 true _let_175 true _let_694 true tptp.hskp18 false _let_626 true _let_53 false _let_693 false _let_239 false _let_213 false _let_618 false _let_620 false _let_622 false _let_218 true _let_624 true _let_165 false _let_634 false _let_636 true _let_638 true _let_639 true _let_141 true _let_278 false _let_130 false tptp.hskp1 false tptp.ndr1_0 true _let_330 true _let_296 true _let_297 false _let_102 false tptp.hskp9 true tptp.hskp12 true tptp.hskp0 true _let_135 false _let_632 false _let_803 false _let_584 false _let_188)))) (let ((_let_818 (MACRO_RESOLUTION_TRUST _let_370 _let_817 :args (_let_367 true _let_185)))) (let ((_let_819 (MACRO_RESOLUTION_TRUST _let_373 _let_818 :args (_let_149 true _let_184)))) (let ((_let_820 (MACRO_RESOLUTION_TRUST _let_371 _let_818 :args ((not _let_145) true _let_184)))) (let ((_let_821 (MACRO_RESOLUTION_TRUST _let_374 _let_820 _let_819 _let_802 :args (_let_148 true _let_145 false _let_149 false _let_151)))) (let ((_let_822 (MACRO_RESOLUTION_TRUST _let_669 (MACRO_RESOLUTION_TRUST _let_666 _let_820 (MACRO_RESOLUTION_TRUST _let_665 _let_818 :args (_let_142 true _let_184)) _let_821 :args (_let_147 true _let_145 false _let_142 true _let_144)) :args ((not _let_140) true _let_146)))) (let ((_let_823 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_824 (not _let_823))) (let ((_let_825 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_826 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_827 (or _let_826 _let_825 _let_824))) (let ((_let_828 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_829 (or _let_826 _let_825 _let_828))) (let ((_let_830 (or _let_258 _let_257 _let_339))) (let ((_let_831 (or _let_823 _let_825 _let_828))) (let ((_let_832 (or _let_340 _let_257 _let_339))) (let ((_let_833 (not _let_306))) (let ((_let_834 (_let_833))) (let ((_let_835 (MACRO_RESOLUTION_TRUST _let_365 (MACRO_RESOLUTION_TRUST _let_381 _let_817 _let_802 :args (tptp.hskp31 true _let_185 false _let_151)) :args (_let_4 false tptp.hskp31)))) (let ((_let_836 (MACRO_RESOLUTION_TRUST _let_358 _let_835 :args (_let_3 false _let_4)))) (let ((_let_837 (MACRO_RESOLUTION_TRUST _let_360 _let_835 :args (_let_1 false _let_4)))) (let ((_let_838 (MACRO_RESOLUTION_TRUST _let_378 (MACRO_RESOLUTION_TRUST _let_380 _let_820 _let_819 _let_821 :args (_let_379 true _let_145 false _let_149 true _let_144)) :args (_let_783 true _let_366)))) (let ((_let_839 (MACRO_RESOLUTION_TRUST _let_782 _let_838 :args ((not _let_772) true _let_178)))) (let ((_let_840 (MACRO_RESOLUTION_TRUST _let_579 _let_802 (MACRO_RESOLUTION_TRUST _let_532 (MACRO_RESOLUTION_TRUST _let_201 (MACRO_RESOLUTION_TRUST _let_789 _let_822 _let_839 :args (_let_154 true _let_140 true _let_772)) :args (_let_152 false _let_154)) :args (_let_245 false _let_152)) _let_531 _let_530 _let_514 _let_510 _let_503 _let_498 _let_787 _let_337 _let_839 _let_494 (MACRO_RESOLUTION_TRUST _let_434 (MACRO_RESOLUTION_TRUST _let_437 (MACRO_RESOLUTION_TRUST _let_336 (MACRO_RESOLUTION_TRUST _let_440 _let_337 (MACRO_RESOLUTION_TRUST _let_447 _let_838 :args ((not _let_345) true _let_178)) :args (tptp.hskp25 false tptp.ndr1_0 true _let_345)) :args (_let_24 false tptp.hskp25)) :args (_let_436 false _let_24)) :args ((not _let_343) true _let_344)) _let_788 _let_479 _let_475 _let_469 (MACRO_RESOLUTION_TRUST _let_767 _let_817 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_700 :args (tptp.a957 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_699)) :args _let_698)) _let_520 (MACRO_RESOLUTION_TRUST _let_275 _let_822 :args ((not _let_232) true _let_140)) (MACRO_RESOLUTION_TRUST _let_274 _let_822 :args ((not _let_220) true _let_140)) (REORDERING (CNF_OR_POS :args (_let_832)) :args ((or _let_257 _let_339 _let_340 (not _let_832)))) _let_836 _let_837 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X12) true))))) :args _let_268)) (REORDERING (CNF_OR_POS :args (_let_830)) :args ((or _let_257 _let_339 _let_258 (not _let_830)))) _let_837 _let_836 (REORDERING (CNF_OR_POS :args (_let_831)) :args ((or _let_825 _let_828 _let_823 (not _let_831)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (tptp.a957 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)) (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_826 _let_825 _let_824 (not _let_827)))) _let_729 (CNF_OR_NEG :args (_let_829 2)) (CNF_OR_NEG :args (_let_829 1)) (CNF_OR_NEG :args (_let_829 0)) _let_730 _let_337 _let_682 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_834)) :args _let_834)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_833) _let_306))) (REFL :args ((not _let_829))) :args _let_192)) _let_731 _let_406 _let_734 _let_410 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_737 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_735)) _let_738 _let_416 _let_756 _let_451 _let_337 _let_755 _let_337 _let_682 _let_450 :args ((or tptp.hskp13 _let_165) true _let_185 true _let_175 true _let_141 true _let_232 true _let_220 true _let_832 false _let_3 false _let_1 true _let_231 false _let_258 false _let_1 false _let_3 true _let_831 false _let_830 true _let_823 false _let_644 true _let_828 true _let_825 true _let_826 false _let_718 false tptp.ndr1_0 true tptp.hskp12 true _let_829 true tptp.hskp10 true _let_306 true _let_95 true _let_329 false _let_827 false _let_716 false _let_125 false _let_690 false tptp.hskp2 false tptp.ndr1_0 false _let_754 false tptp.ndr1_0 true tptp.hskp12 true _let_328)) :args (_let_165 false _let_151 false _let_245 true _let_218 true _let_217 true _let_213 true _let_239 false _let_53 true _let_235 false tptp.hskp18 false tptp.ndr1_0 true _let_772 true _let_486 true _let_343 true _let_786 true _let_261 true _let_290 false _let_75 false tptp.hskp13)))) (let ((_let_841 (MACRO_RESOLUTION_TRUST _let_352 _let_840 :args (_let_341 false _let_165)))) (let ((_let_842 (MACRO_RESOLUTION_TRUST _let_522 (MACRO_RESOLUTION_TRUST _let_521 _let_337 (MACRO_RESOLUTION_TRUST _let_317 (MACRO_RESOLUTION_TRUST _let_363 _let_835 _let_841 :args (_let_334 false _let_4 false _let_341)) :args (_let_312 true _let_259)) _let_822 :args (tptp.hskp14 false tptp.ndr1_0 true _let_141 true _let_140)) :args (_let_69 false tptp.hskp14)))) (let ((_let_843 (MACRO_RESOLUTION_TRUST _let_525 _let_842 :args (_let_67 false _let_69)))) (let ((_let_844 (MACRO_RESOLUTION_TRUST _let_359 _let_835 :args (_let_2 false _let_4)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_591 (MACRO_RESOLUTION_TRUST _let_593 (MACRO_RESOLUTION_TRUST _let_576 (MACRO_RESOLUTION_TRUST _let_577 _let_337 (MACRO_RESOLUTION_TRUST _let_578 (MACRO_RESOLUTION_TRUST _let_616 _let_844 (MACRO_RESOLUTION_TRUST _let_362 _let_844 _let_837 _let_841 :args (_let_340 false _let_2 false _let_1 false _let_341)) (MACRO_RESOLUTION_TRUST _let_580 _let_840 :args (_let_250 false _let_165)) _let_802 :args (_let_614 false _let_2 true _let_258 false _let_250 false _let_151)) :args ((not _let_176) true _let_174)) (MACRO_RESOLUTION_TRUST _let_571 _let_838 :args ((not _let_266) true _let_178)) :args (_let_262 false tptp.ndr1_0 true _let_176 true _let_266)) :args (_let_261 false _let_262)) :args (_let_139 false _let_261)) (MACRO_RESOLUTION_TRUST _let_589 (MACRO_RESOLUTION_TRUST _let_524 _let_842 :args (_let_68 false _let_69)) _let_843 (MACRO_RESOLUTION_TRUST _let_581 _let_840 :args (_let_252 false _let_165)) :args (_let_251 false _let_68 false _let_67 false _let_252)) _let_843 (MACRO_RESOLUTION_TRUST _let_526 _let_842 :args (_let_66 false _let_69)) :args (false false _let_139 true _let_137 false _let_67 true _let_65)) :args (_let_136 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.54/0.73  )
% 0.54/0.73  % SZS output end Proof for SYN474+1
% 0.54/0.73  % cvc5---1.0.5 exiting
% 0.54/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------