%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV238+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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  : 600s
% DateTime : Wed Jul 20 17:46:19 EDT 2022

% Result   : CounterSatisfiable 10.82s 2.85s
% Output   : Saturation 10.82s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( p(enc(enc(i(wk),X1),enc(i(lp),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_14) ).

cnf(i_0_19,plain,
    p(enc(lp,t2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_19) ).

cnf(i_0_8,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(tmk),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_8) ).

cnf(i_0_7,plain,
    ( p(enc(wk,enc(i(tmk),X1)))
    | ~ p(X2)
    | ~ p(X3)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_7) ).

cnf(i_0_5,plain,
    ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_5) ).

cnf(i_0_2,plain,
    enc(X1,enc(i(X1),X2)) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_2) ).

cnf(i_0_3,plain,
    i(i(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_3) ).

cnf(i_0_15,plain,
    ( p(enc(X1,X2))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_15) ).

cnf(i_0_12,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(i(tmk),X2)),X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_12) ).

cnf(i_0_6,plain,
    ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_6) ).

cnf(i_0_16,plain,
    p(enc(tmk,pp)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_16) ).

cnf(i_0_1,plain,
    enc(i(X1),enc(X1,X2)) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_1) ).

cnf(i_0_24,negated_conjecture,
    ~ p(enc(pp,a)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_24) ).

cnf(i_0_23,plain,
    p(a),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_23) ).

cnf(i_0_13,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(i(wk),X2)),X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_13) ).

cnf(i_0_9,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(tc),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_9) ).

cnf(i_0_10,plain,
    ( p(enc(enc(i(tc),X1),X2))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_10) ).

cnf(i_0_17,plain,
    p(enc(wk,w)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_17) ).

cnf(i_0_4,plain,
    ( p(i(X1))
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_4) ).

cnf(i_0_11,plain,
    ( p(enc(i(enc(i(tc),X1)),X2))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_11) ).

cnf(i_0_18,plain,
    p(enc(w,t1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_18) ).

cnf(i_0_20,plain,
    p(enc(tc,k)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_20) ).

cnf(i_0_22,plain,
    p(i(kk)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_22) ).

cnf(i_0_21,plain,
    p(kk),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fpkgpokg/input.p',i_0_21) ).

fof(c_0_49,plain,
    ( ~ epred15_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

fof(c_0_50,plain,
    ( ~ epred7_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

fof(c_0_51,plain,
    ( ~ epred6_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

fof(c_0_52,plain,
    ( ~ epred11_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

fof(c_0_53,plain,
    ( ~ epred14_0
  <=> ! [X1,X2] :
        ( p(enc(enc(i(wk),X1),enc(i(lp),X2)))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_54,plain,
    ( p(enc(enc(i(wk),X1),enc(i(lp),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    i_0_14 ).

cnf(c_0_55,plain,
    ( epred15_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_49]) ).

cnf(c_0_56,plain,
    p(enc(lp,t2)),
    i_0_19,
    [final] ).

cnf(c_0_57,plain,
    ( epred7_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_50]) ).

cnf(c_0_58,plain,
    ( epred6_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_51]) ).

fof(c_0_59,plain,
    ( ~ epred10_0
  <=> ! [X1,X2] :
        ( p(enc(enc(i(tmk),X1),enc(i(tmk),X2)))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_60,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(tmk),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    i_0_8 ).

cnf(c_0_61,plain,
    ( epred11_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_52]) ).

cnf(c_0_62,plain,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_54,c_0_53]),c_0_49]) ).

cnf(c_0_63,plain,
    epred15_0,
    inference(spm,[status(thm)],[c_0_55,c_0_56]),
    [final] ).

fof(c_0_64,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( p(enc(wk,enc(i(tmk),X1)))
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_65,plain,
    ( p(enc(wk,enc(i(tmk),X1)))
    | ~ p(X2)
    | ~ p(X3)
    | ~ p(X1) ),
    i_0_7 ).

cnf(c_0_66,plain,
    epred7_0,
    inference(spm,[status(thm)],[c_0_57,c_0_56]),
    [final] ).

cnf(c_0_67,plain,
    epred6_0,
    inference(spm,[status(thm)],[c_0_58,c_0_56]),
    [final] ).

fof(c_0_68,plain,
    ( ~ epred17_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_69,plain,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_60,c_0_59]),c_0_52]) ).

cnf(c_0_70,plain,
    epred11_0,
    inference(spm,[status(thm)],[c_0_61,c_0_56]),
    [final] ).

cnf(c_0_71,plain,
    ~ epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]),
    [final] ).

cnf(c_0_72,plain,
    ~ epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_65,c_0_64]),c_0_51]),c_0_50]),c_0_66]),c_0_67])]),
    [final] ).

fof(c_0_73,plain,
    ( ~ epred16_0
  <=> ! [X1,X2] :
        ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X2)))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_74,plain,
    ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    i_0_5 ).

cnf(c_0_75,plain,
    ( epred17_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_68]) ).

fof(c_0_76,plain,
    ( ~ epred2_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_77,plain,
    ~ epred10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),
    [final] ).

cnf(c_0_78,plain,
    ( p(enc(enc(i(wk),X1),enc(i(lp),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_53]),c_0_71]),
    [final] ).

cnf(c_0_79,plain,
    enc(X1,enc(i(X1),X2)) = X2,
    i_0_2,
    [final] ).

cnf(c_0_80,plain,
    i(i(X1)) = X1,
    i_0_3,
    [final] ).

cnf(c_0_81,plain,
    ( p(enc(wk,enc(i(tmk),X1)))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_64]),c_0_72]),
    [final] ).

cnf(c_0_82,plain,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_74,c_0_73]),c_0_68]) ).

cnf(c_0_83,plain,
    epred17_0,
    inference(spm,[status(thm)],[c_0_75,c_0_56]),
    [final] ).

fof(c_0_84,plain,
    ( ~ epred19_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

fof(c_0_85,plain,
    ( ~ epred1_0
  <=> ! [X1,X2] :
        ( p(enc(X1,X2))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_86,plain,
    ( p(enc(X1,X2))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    i_0_15 ).

cnf(c_0_87,plain,
    ( epred2_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_76]) ).

cnf(c_0_88,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(tmk),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_59]),c_0_77]),
    [final] ).

cnf(c_0_89,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(i(tmk),X2)),X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    i_0_12,
    [final] ).

cnf(c_0_90,plain,
    ( p(enc(X1,enc(i(lp),X2)))
    | ~ p(enc(wk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_91,plain,
    ( p(enc(wk,X1))
    | ~ p(enc(tmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_92,plain,
    ~ epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]),
    [final] ).

fof(c_0_93,plain,
    ( ~ epred18_0
  <=> ! [X1,X2] :
        ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X2)))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_94,plain,
    ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    i_0_6 ).

cnf(c_0_95,plain,
    ( epred19_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_84]) ).

cnf(c_0_96,plain,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_86,c_0_85]),c_0_76]) ).

cnf(c_0_97,plain,
    epred2_0,
    inference(spm,[status(thm)],[c_0_87,c_0_56]),
    [final] ).

cnf(c_0_98,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(tmk,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_99,plain,
    ( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
    | ~ p(enc(wk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_100,plain,
    ( p(enc(X1,enc(i(lp),X2)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]),
    [final] ).

cnf(c_0_101,plain,
    ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_73]),c_0_92]),
    [final] ).

cnf(c_0_102,plain,
    ( ~ epred19_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_94,c_0_93]),c_0_84]) ).

cnf(c_0_103,plain,
    epred19_0,
    inference(spm,[status(thm)],[c_0_95,c_0_56]),
    [final] ).

cnf(c_0_104,plain,
    ~ epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]),
    [final] ).

cnf(c_0_105,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(tmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_106,plain,
    p(enc(tmk,pp)),
    i_0_16,
    [final] ).

cnf(c_0_107,plain,
    ( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
    | ~ p(enc(tmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_99,c_0_91]),
    [final] ).

cnf(c_0_108,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(lp),X3)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]),
    [final] ).

cnf(c_0_109,plain,
    ~ epred18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]),
    [final] ).

fof(c_0_110,plain,
    ( ~ epred13_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_111,plain,
    ( p(enc(X1,X2))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_85]),c_0_104]),
    [final] ).

cnf(c_0_112,plain,
    enc(i(X1),enc(X1,X2)) = X2,
    i_0_1,
    [final] ).

cnf(c_0_113,plain,
    ( p(enc(X1,pp))
    | ~ p(enc(tmk,X1)) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]),
    [final] ).

cnf(c_0_114,negated_conjecture,
    ~ p(enc(pp,a)),
    i_0_24,
    [final] ).

cnf(c_0_115,plain,
    p(a),
    i_0_23,
    [final] ).

cnf(c_0_116,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(i(wk),X2)),X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    i_0_13,
    [final] ).

cnf(c_0_117,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(tmk),X3)),X4)))
    | ~ p(X4)
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_101]),
    [final] ).

fof(c_0_118,plain,
    ( ~ epred4_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_119,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(lp,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_120,plain,
    ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_93]),c_0_109]),
    [final] ).

fof(c_0_121,plain,
    ( ~ epred12_0
  <=> ! [X1,X2] :
        ( p(enc(enc(i(tmk),X1),enc(i(tc),X2)))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_122,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(tc),X2)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    i_0_9 ).

cnf(c_0_123,plain,
    ( epred13_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_110]) ).

cnf(c_0_124,plain,
    ( p(X1)
    | ~ p(enc(X2,X1))
    | ~ p(i(X2)) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]),
    [final] ).

cnf(c_0_125,plain,
    ( p(enc(enc(i(tmk),X1),pp))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_79]),
    [final] ).

cnf(c_0_126,negated_conjecture,
    ~ p(pp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_111]),c_0_115])]),
    [final] ).

fof(c_0_127,plain,
    ( ~ epred25_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

cnf(c_0_128,plain,
    ( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
    | ~ p(enc(wk,X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_129,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
    | ~ p(enc(tmk,X3))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_130,plain,
    ( ~ epred3_0
  <=> ! [X1,X2] :
        ( p(enc(enc(i(tc),X1),X2))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_131,plain,
    ( p(enc(enc(i(tc),X1),X2))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    i_0_10 ).

cnf(c_0_132,plain,
    ( epred4_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_118]) ).

cnf(c_0_133,plain,
    ( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
    | ~ p(enc(tmk,X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_134,plain,
    p(enc(wk,w)),
    i_0_17,
    [final] ).

cnf(c_0_135,plain,
    ( p(X1)
    | ~ p(enc(lp,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_119,c_0_79]),
    [final] ).

cnf(c_0_136,plain,
    ( p(enc(i(enc(i(zcmk),X1)),X2))
    | ~ p(enc(tmk,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_137,plain,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_122,c_0_121]),c_0_110]) ).

cnf(c_0_138,plain,
    epred13_0,
    inference(spm,[status(thm)],[c_0_123,c_0_56]),
    [final] ).

cnf(c_0_139,plain,
    ( ~ p(i(enc(i(tmk),X1)))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),
    [final] ).

cnf(c_0_140,plain,
    ( p(i(X1))
    | ~ p(X1) ),
    i_0_4,
    [final] ).

fof(c_0_141,plain,
    ( ~ epred9_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

fof(c_0_142,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( p(enc(enc(i(wk),X1),pp))
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_143,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(enc(i(tmk),X3),X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_144,plain,
    ( epred25_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_127]) ).

cnf(c_0_145,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(wk,X2))
    | ~ p(enc(wk,X1))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_146,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(tmk,X4))
    | ~ p(enc(X4,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_147,plain,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_131,c_0_130]),c_0_118]) ).

cnf(c_0_148,plain,
    epred4_0,
    inference(spm,[status(thm)],[c_0_132,c_0_56]),
    [final] ).

cnf(c_0_149,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(wk,X1))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_150,plain,
    ( p(enc(w,enc(i(enc(i(tmk),X1)),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_134]),
    [final] ).

cnf(c_0_151,plain,
    ( p(X1)
    | ~ p(enc(lp,enc(i(enc(i(X2),X3)),X1)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_152,plain,
    ( p(enc(i(X1),X2))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(zcmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_153,plain,
    ~ epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]),
    [final] ).

cnf(c_0_154,plain,
    ( ~ p(enc(i(tmk),X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]),
    [final] ).

fof(c_0_155,plain,
    ( ~ epred8_0
  <=> ! [X1,X2] :
        ( p(enc(i(enc(i(tc),X1)),X2))
        | ~ p(X1)
        | ~ p(X2) ) ),
    introduced(definition) ).

cnf(c_0_156,plain,
    ( p(enc(i(enc(i(tc),X1)),X2))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    i_0_11 ).

cnf(c_0_157,plain,
    ( epred9_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_141]) ).

cnf(c_0_158,plain,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_125]),c_0_142]),c_0_127]) ).

cnf(c_0_159,plain,
    epred25_0,
    inference(spm,[status(thm)],[c_0_144,c_0_56]),
    [final] ).

cnf(c_0_160,plain,
    ( p(enc(X1,enc(i(w),X2)))
    | ~ p(enc(wk,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_145,c_0_134]),
    [final] ).

cnf(c_0_161,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(enc(i(enc(i(zcmk),X4)),X5),X3))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X4)
    | ~ p(X5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_101]),
    [final] ).

cnf(c_0_162,plain,
    ~ epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]),
    [final] ).

fof(c_0_163,plain,
    ( ~ epred55_0
  <=> ! [X4] : ~ p(X4) ),
    introduced(definition) ).

cnf(c_0_164,plain,
    ( p(enc(X1,enc(i(pp),X2)))
    | ~ p(enc(wk,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_149,c_0_106]),
    [final] ).

cnf(c_0_165,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(enc(i(tmk),X2)),X3)))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_81]),
    [final] ).

cnf(c_0_166,plain,
    ( p(enc(w,enc(i(X1),X2)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_167,plain,
    ( p(X1)
    | ~ p(enc(lp,enc(i(X2),X1)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_168,plain,
    ( p(enc(i(X1),pp))
    | ~ p(enc(zcmk,X1)) ),
    inference(spm,[status(thm)],[c_0_152,c_0_106]),
    [final] ).

cnf(c_0_169,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(tc),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_121]),c_0_153]),
    [final] ).

cnf(c_0_170,plain,
    ( p(enc(pp,enc(i(enc(i(tmk),X1)),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_107,c_0_106]),
    [final] ).

cnf(c_0_171,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(wk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_172,plain,
    ( ~ p(enc(tmk,X1))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_173,plain,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_156,c_0_155]),c_0_141]) ).

cnf(c_0_174,plain,
    epred9_0,
    inference(spm,[status(thm)],[c_0_157,c_0_56]),
    [final] ).

fof(c_0_175,plain,
    ( ~ epred21_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

cnf(c_0_176,plain,
    ~ epred24_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]),
    [final] ).

cnf(c_0_177,plain,
    ( p(enc(X1,enc(i(w),X2)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_160,c_0_91]),
    [final] ).

fof(c_0_178,plain,
    ( ~ epred54_0
  <=> ! [X3,X2,X1] :
        ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
        | ~ p(X3)
        | ~ p(X2)
        | ~ p(X1)
        | ~ p(enc(zcmk,tc)) ) ),
    introduced(definition) ).

cnf(c_0_179,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(enc(i(X4),X5),X3))
    | ~ p(enc(zcmk,X4))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X5) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_180,plain,
    ( p(enc(enc(i(tc),X1),X2))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_130]),c_0_162]),
    [final] ).

cnf(c_0_181,plain,
    ( epred55_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_163]) ).

cnf(c_0_182,plain,
    ( p(enc(X1,enc(i(pp),X2)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_164,c_0_91]),
    [final] ).

cnf(c_0_183,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
    | ~ p(enc(tmk,X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_184,plain,
    ( p(enc(w,X1))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_185,plain,
    ( p(enc(X1,enc(i(tmk),X2)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_186,plain,
    ( p(X1)
    | ~ p(enc(i(X2),X1))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(lp) ),
    inference(spm,[status(thm)],[c_0_167,c_0_111]),
    [final] ).

cnf(c_0_187,plain,
    ( p(enc(i(enc(i(zcmk),X1)),pp))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_79]),
    [final] ).

cnf(c_0_188,plain,
    ( p(enc(X1,enc(i(tc),X2)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_189,plain,
    ( p(enc(pp,enc(i(X1),X2)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_190,plain,
    ( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(enc(tmk,X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_101]),
    [final] ).

fof(c_0_191,plain,
    ( ~ epred39_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_192,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(w,X2))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_134]),
    [final] ).

cnf(c_0_193,plain,
    p(enc(w,t1)),
    i_0_18,
    [final] ).

cnf(c_0_194,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(lp,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_195,plain,
    ( ~ p(enc(i(enc(i(zcmk),X1)),X2))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_172,c_0_101]),
    [final] ).

cnf(c_0_196,plain,
    ~ epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174])]),
    [final] ).

fof(c_0_197,plain,
    ( ~ epred23_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

fof(c_0_198,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ p(X1)
        | ~ p(i(enc(i(zcmk),X1))) ) ),
    introduced(definition) ).

cnf(c_0_199,plain,
    ( epred21_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_175]) ).

cnf(c_0_200,plain,
    ( p(enc(enc(i(wk),X1),pp))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_176]),
    [final] ).

cnf(c_0_201,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(tc,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_202,plain,
    p(enc(tc,k)),
    i_0_20,
    [final] ).

fof(c_0_203,plain,
    ( ~ epred27_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

cnf(c_0_204,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(w),X3)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_177,c_0_101]),
    [final] ).

cnf(c_0_205,plain,
    ( ~ epred55_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_178]),c_0_163]) ).

cnf(c_0_206,plain,
    epred55_0,
    inference(spm,[status(thm)],[c_0_181,c_0_56]),
    [final] ).

fof(c_0_207,plain,
    ( ~ epred51_0
  <=> ! [X2] :
        ( ~ p(X2)
        | ~ p(enc(zcmk,enc(i(wk),X2))) ) ),
    introduced(definition) ).

fof(c_0_208,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( ~ p(X1)
        | ~ p(lp)
        | ~ p(enc(zcmk,enc(i(wk),X1))) ) ),
    introduced(definition) ).

cnf(c_0_209,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(pp),X3)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_182,c_0_101]),
    [final] ).

cnf(c_0_210,plain,
    ( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
    | ~ p(enc(wk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_211,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(tmk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_212,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(tmk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_213,plain,
    ( p(enc(w,X1))
    | ~ p(enc(pp,X1)) ),
    inference(spm,[status(thm)],[c_0_184,c_0_106]),
    [final] ).

cnf(c_0_214,plain,
    ( p(enc(pp,enc(i(tmk),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_185,c_0_106]),
    [final] ).

cnf(c_0_215,plain,
    ( ~ p(enc(X1,enc(i(zcmk),X2)))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_126]),
    [final] ).

cnf(c_0_216,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(tc),X3)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_188,c_0_101]),
    [final] ).

cnf(c_0_217,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(tmk),X3)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_185,c_0_101]),
    [final] ).

cnf(c_0_218,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_219,plain,
    ( ~ epred38_0
  <=> ! [X2,X1] :
        ( p(enc(w,enc(i(enc(i(zcmk),X1)),X2)))
        | ~ p(X2)
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_220,plain,
    ( p(enc(w,X1))
    | ~ p(enc(enc(i(tmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_221,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_190,c_0_79]),
    [final] ).

cnf(c_0_222,plain,
    ( epred39_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_191]) ).

cnf(c_0_223,plain,
    ( p(enc(enc(i(wk),X1),t1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]),
    [final] ).

cnf(c_0_224,plain,
    ( p(enc(enc(i(wk),X1),t2))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_194,c_0_56]),
    [final] ).

fof(c_0_225,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( ~ p(X1)
        | ~ p(enc(zcmk,enc(i(tc),X1))) ) ),
    introduced(definition) ).

cnf(c_0_226,plain,
    ( ~ p(enc(i(X1),X2))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_227,plain,
    ( p(enc(i(enc(i(tc),X1)),X2))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_155]),c_0_196]),
    [final] ).

cnf(c_0_228,plain,
    ( epred23_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_197]) ).

cnf(c_0_229,plain,
    ( ~ epred21_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_111]),c_0_198]),c_0_175]) ).

cnf(c_0_230,plain,
    epred21_0,
    inference(spm,[status(thm)],[c_0_199,c_0_56]),
    [final] ).

cnf(c_0_231,plain,
    ( ~ p(i(enc(i(wk),X1)))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_200]),c_0_126]),
    [final] ).

fof(c_0_232,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( p(enc(enc(i(wk),X1),k))
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_233,plain,
    ( p(enc(enc(i(tmk),X1),k))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]),
    [final] ).

cnf(c_0_234,plain,
    ( epred27_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_203]) ).

cnf(c_0_235,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(w,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_236,plain,
    ~ epred54_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206])]),
    [final] ).

cnf(c_0_237,plain,
    ( epred51_0
    | ~ p(enc(zcmk,enc(i(wk),X1)))
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_207]),
    [final] ).

cnf(c_0_238,plain,
    ( epred48_0
    | ~ p(enc(zcmk,enc(i(wk),X1)))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_208]),
    [final] ).

cnf(c_0_239,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(pp,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_240,plain,
    ( p(enc(pp,enc(i(w),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_106]),
    [final] ).

cnf(c_0_241,plain,
    ( p(enc(w,enc(i(enc(i(wk),X1)),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_210,c_0_134]),
    [final] ).

cnf(c_0_242,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
    | ~ p(X1)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_101]),
    [final] ).

fof(c_0_243,plain,
    ( ~ epred45_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_244,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
    | ~ p(X1)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_212,c_0_101]),
    [final] ).

fof(c_0_245,plain,
    ( ~ epred43_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_246,plain,
    ( p(X1)
    | ~ p(enc(pp,enc(i(w),X1))) ),
    inference(spm,[status(thm)],[c_0_213,c_0_79]),
    [final] ).

cnf(c_0_247,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(tmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_248,plain,
    ( ~ p(enc(zcmk,X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X1,X2))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_249,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(tc,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_250,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(tmk,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_251,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(enc(i(enc(i(zcmk),X2)),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_218,c_0_101]),
    [final] ).

fof(c_0_252,plain,
    ( ~ epred41_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

cnf(c_0_253,plain,
    ( ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_219]),c_0_191]) ).

cnf(c_0_254,plain,
    epred39_0,
    inference(spm,[status(thm)],[c_0_222,c_0_56]),
    [final] ).

cnf(c_0_255,plain,
    ( p(enc(w,X1))
    | ~ p(enc(enc(i(enc(i(zcmk),X2)),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_184,c_0_101]),
    [final] ).

fof(c_0_256,plain,
    ( ~ epred37_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

cnf(c_0_257,plain,
    ( p(enc(X1,t1))
    | ~ p(enc(wk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_258,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(pp,X2))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_212,c_0_106]),
    [final] ).

cnf(c_0_259,plain,
    ( p(enc(X1,t2))
    | ~ p(enc(wk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_260,plain,
    ( ~ epred31_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

fof(c_0_261,plain,
    ( ~ epred29_0
  <=> ! [X2] : ~ p(X2) ),
    introduced(definition) ).

cnf(c_0_262,plain,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_225]),c_0_197]) ).

cnf(c_0_263,plain,
    epred23_0,
    inference(spm,[status(thm)],[c_0_228,c_0_56]),
    [final] ).

cnf(c_0_264,plain,
    ~ epred20_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230])]),
    [final] ).

cnf(c_0_265,plain,
    ( ~ p(enc(wk,X1))
    | ~ p(i(X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_266,plain,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_233]),c_0_232]),c_0_203]) ).

cnf(c_0_267,plain,
    epred27_0,
    inference(spm,[status(thm)],[c_0_234,c_0_56]),
    [final] ).

cnf(c_0_268,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(enc(X4,X5),X3))
    | ~ p(enc(zcmk,i(X4)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X5) ),
    inference(spm,[status(thm)],[c_0_179,c_0_80]),
    [final] ).

cnf(c_0_269,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(tmk,X1))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_270,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(enc(w,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_271,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(zcmk,tc))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_236]),
    [final] ).

cnf(c_0_272,plain,
    ( epred51_0
    | ~ p(enc(zcmk,X1))
    | ~ p(enc(wk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_273,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( ~ p(X2)
        | ~ p(enc(zcmk,enc(i(tmk),X2))) ) ),
    introduced(definition) ).

cnf(c_0_274,plain,
    ( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
    | ~ p(enc(tmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_210,c_0_91]),
    [final] ).

cnf(c_0_275,plain,
    ( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
    | ~ p(enc(wk,X1))
    | ~ p(X4)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_149,c_0_101]),
    [final] ).

cnf(c_0_276,plain,
    ( epred48_0
    | ~ p(enc(zcmk,X1))
    | ~ p(enc(wk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_277,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( ~ p(X1)
        | ~ p(lp)
        | ~ p(enc(zcmk,enc(i(tmk),X1))) ) ),
    introduced(definition) ).

cnf(c_0_278,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(enc(pp,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_279,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(w,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_280,plain,
    ( p(enc(w,enc(i(X1),X2)))
    | ~ p(enc(wk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_281,plain,
    ( ~ epred44_0
  <=> ! [X2,X1] :
        ( p(enc(enc(i(tmk),X1),X2))
        | ~ p(X2)
        | ~ p(X1)
        | ~ p(enc(zcmk,tc)) ) ),
    introduced(definition) ).

cnf(c_0_282,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(enc(i(X3),X4),X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(X1)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_283,plain,
    ( epred45_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_243]) ).

cnf(c_0_284,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(zcmk),X3)),X4)))
    | ~ p(X3)
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_190,c_0_101]),
    [final] ).

cnf(c_0_285,plain,
    ( p(enc(i(X1),enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_152,c_0_101]),
    [final] ).

cnf(c_0_286,plain,
    ( p(enc(enc(i(X1),X2),X3))
    | ~ p(enc(lp,X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_287,plain,
    ( p(X1)
    | ~ p(enc(w,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_235,c_0_79]),
    [final] ).

cnf(c_0_288,plain,
    ( p(X1)
    | ~ p(enc(pp,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_239,c_0_79]),
    [final] ).

fof(c_0_289,plain,
    ( ~ epred42_0
  <=> ! [X2,X1] :
        ( p(enc(enc(i(wk),X1),X2))
        | ~ p(X2)
        | ~ p(X1)
        | ~ p(enc(zcmk,tc)) ) ),
    introduced(definition) ).

cnf(c_0_290,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(enc(i(X3),X4),X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(X1)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_291,plain,
    ( epred43_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_245]) ).

cnf(c_0_292,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(w),X1))) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]),
    [final] ).

cnf(c_0_293,plain,
    ( ~ p(enc(enc(i(zcmk),X1),X2))
    | ~ p(enc(zcmk,X2))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_79]),
    [final] ).

cnf(c_0_294,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_249,c_0_79]),
    [final] ).

cnf(c_0_295,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_250,c_0_79]),
    [final] ).

cnf(c_0_296,plain,
    ( p(enc(pp,enc(i(enc(i(zcmk),X1)),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_190,c_0_106]),
    [final] ).

cnf(c_0_297,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(enc(lp,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_298,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( p(enc(pp,X1))
        | ~ p(X1)
        | ~ p(enc(zcmk,tc)) ) ),
    introduced(definition) ).

cnf(c_0_299,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(enc(i(X2),X3),X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_300,plain,
    ( epred41_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_252]) ).

cnf(c_0_301,plain,
    ~ epred38_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254])]),
    [final] ).

fof(c_0_302,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( p(enc(w,X1))
        | ~ p(X1)
        | ~ p(enc(zcmk,tc)) ) ),
    introduced(definition) ).

cnf(c_0_303,plain,
    ( p(enc(w,X1))
    | ~ p(enc(enc(i(X2),X3),X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_304,plain,
    ( epred37_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_256]) ).

cnf(c_0_305,plain,
    ( p(enc(X1,t1))
    | ~ p(enc(tmk,X1)) ),
    inference(spm,[status(thm)],[c_0_257,c_0_91]),
    [final] ).

cnf(c_0_306,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(tmk,X2))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_247]),
    [final] ).

cnf(c_0_307,plain,
    ( p(enc(X1,t2))
    | ~ p(enc(tmk,X1)) ),
    inference(spm,[status(thm)],[c_0_259,c_0_91]),
    [final] ).

cnf(c_0_308,plain,
    ( p(enc(X1,k))
    | ~ p(enc(tmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_309,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( p(enc(w,enc(i(tc),X1)))
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_310,plain,
    ( epred31_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_260]) ).

fof(c_0_311,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( p(enc(w,enc(i(tmk),X1)))
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_312,plain,
    ( epred29_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_261]) ).

cnf(c_0_313,plain,
    ( p(enc(pp,enc(i(tc),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_106]),
    [final] ).

cnf(c_0_314,plain,
    ( ~ p(enc(tmk,X1))
    | ~ p(i(X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_315,plain,
    ~ epred22_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_263])]),
    [final] ).

cnf(c_0_316,plain,
    ( ~ p(i(enc(i(zcmk),X1)))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_198]),c_0_264]),
    [final] ).

fof(c_0_317,plain,
    ( ~ epred35_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

fof(c_0_318,plain,
    ( ~ epred33_0
  <=> ! [X3] : ~ p(X3) ),
    introduced(definition) ).

cnf(c_0_319,plain,
    ~ p(i(w)),
    inference(spm,[status(thm)],[c_0_265,c_0_134]),
    [final] ).

cnf(c_0_320,plain,
    ~ epred26_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_267])]),
    [final] ).

cnf(c_0_321,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(X3,X4)),X5)))
    | ~ p(enc(zcmk,i(X3)))
    | ~ p(X5)
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_268,c_0_79]),
    [final] ).

cnf(c_0_322,plain,
    ( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
    | ~ p(enc(tmk,X1))
    | ~ p(X4)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_269,c_0_101]),
    [final] ).

cnf(c_0_323,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(X3),X4)),X5)))
    | ~ p(enc(zcmk,X3))
    | ~ p(X5)
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_179,c_0_79]),
    [final] ).

cnf(c_0_324,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(w,X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_325,plain,
    ( p(enc(w,enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_255,c_0_79]),
    [final] ).

cnf(c_0_326,plain,
    ( p(X1)
    | ~ p(enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1))
    | ~ p(enc(zcmk,tc))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_271,c_0_79]),
    [final] ).

fof(c_0_327,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( ~ p(X2)
        | ~ p(enc(zcmk,i(enc(i(zcmk),X2)))) ) ),
    introduced(definition) ).

cnf(c_0_328,plain,
    ( p(X1)
    | ~ p(enc(lp,enc(X2,X1)))
    | ~ p(enc(X3,i(X2)))
    | ~ p(enc(zcmk,X3)) ),
    inference(spm,[status(thm)],[c_0_167,c_0_80]),
    [final] ).

fof(c_0_329,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( ~ p(X1)
        | ~ p(lp)
        | ~ p(enc(zcmk,i(enc(i(zcmk),X1)))) ) ),
    introduced(definition) ).

cnf(c_0_330,plain,
    ( epred51_0
    | ~ p(enc(wk,enc(i(zcmk),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_272,c_0_79]),
    [final] ).

cnf(c_0_331,plain,
    ( epred50_0
    | ~ p(enc(zcmk,enc(i(tmk),X1)))
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_273]),
    [final] ).

cnf(c_0_332,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(wk),X3)),X4)))
    | ~ p(X4)
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_274,c_0_101]),
    [final] ).

cnf(c_0_333,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
    | ~ p(X4)
    | ~ p(X2)
    | ~ p(X3)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_275,c_0_81]),
    [final] ).

cnf(c_0_334,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_244,c_0_79]),
    [final] ).

cnf(c_0_335,plain,
    ( epred48_0
    | ~ p(enc(wk,enc(i(zcmk),X1)))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_79]),
    [final] ).

cnf(c_0_336,plain,
    ( epred46_0
    | ~ p(enc(zcmk,enc(i(tmk),X1)))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_277]),
    [final] ).

fof(c_0_337,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( ~ p(X2)
        | ~ p(enc(tmk,enc(i(zcmk),X2))) ) ),
    introduced(definition) ).

cnf(c_0_338,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(pp,X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_339,plain,
    ( p(enc(pp,enc(i(X1),X2)))
    | ~ p(enc(wk,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]),
    [final] ).

cnf(c_0_340,plain,
    ( ~ epred45_0
    | ~ epred44_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_180]),c_0_281]),c_0_243]) ).

cnf(c_0_341,plain,
    epred45_0,
    inference(spm,[status(thm)],[c_0_283,c_0_56]),
    [final] ).

cnf(c_0_342,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
    | ~ p(enc(zcmk,X3))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_343,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(enc(tmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_344,plain,
    ( p(enc(i(enc(i(zcmk),X1)),enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_285,c_0_79]),
    [final] ).

cnf(c_0_345,plain,
    ( p(enc(enc(i(X1),X2),X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_286,c_0_111]),
    [final] ).

cnf(c_0_346,plain,
    ( p(X1)
    | ~ p(enc(w,enc(i(enc(i(X2),X3)),X1)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_347,plain,
    ( p(X1)
    | ~ p(enc(pp,enc(i(enc(i(X2),X3)),X1)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_348,plain,
    ( ~ epred43_0
    | ~ epred42_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_180]),c_0_289]),c_0_245]) ).

cnf(c_0_349,plain,
    epred43_0,
    inference(spm,[status(thm)],[c_0_291,c_0_56]),
    [final] ).

cnf(c_0_350,plain,
    ( p(X1)
    | ~ p(enc(lp,enc(i(enc(X2,X3)),X1)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_151,c_0_80]),
    [final] ).

cnf(c_0_351,plain,
    ( p(enc(w,X1))
    | ~ p(enc(tmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_352,plain,
    ( ~ p(enc(zcmk,enc(i(enc(i(zcmk),X1)),X2)))
    | ~ p(lp)
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_293,c_0_79]),
    [final] ).

cnf(c_0_353,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(i(enc(i(X2),X3)),X1)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_354,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(enc(i(X2),X3)),X1)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_355,plain,
    ( p(enc(pp,enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3)))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_251,c_0_79]),
    [final] ).

cnf(c_0_356,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_258,c_0_296]),
    [final] ).

cnf(c_0_357,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(lp,X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_358,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(enc(i(wk),X2)),X3)))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_210,c_0_81]),
    [final] ).

cnf(c_0_359,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(enc(tc,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_360,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(pp),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_81]),
    [final] ).

cnf(c_0_361,plain,
    ( ~ epred41_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_180]),c_0_298]),c_0_252]) ).

cnf(c_0_362,plain,
    epred41_0,
    inference(spm,[status(thm)],[c_0_300,c_0_56]),
    [final] ).

cnf(c_0_363,plain,
    ( p(enc(w,enc(i(enc(i(zcmk),X1)),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_301]),
    [final] ).

cnf(c_0_364,plain,
    ( ~ epred37_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_180]),c_0_302]),c_0_256]) ).

cnf(c_0_365,plain,
    epred37_0,
    inference(spm,[status(thm)],[c_0_304,c_0_56]),
    [final] ).

cnf(c_0_366,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),t1))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_305,c_0_101]),
    [final] ).

cnf(c_0_367,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(enc(i(wk),X2)),X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_306,c_0_79]),
    [final] ).

cnf(c_0_368,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(lp),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_81]),
    [final] ).

cnf(c_0_369,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),t2))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_307,c_0_101]),
    [final] ).

cnf(c_0_370,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),k))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_308,c_0_101]),
    [final] ).

cnf(c_0_371,plain,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_169]),c_0_309]),c_0_260]) ).

cnf(c_0_372,plain,
    epred31_0,
    inference(spm,[status(thm)],[c_0_310,c_0_56]),
    [final] ).

cnf(c_0_373,plain,
    ( ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_88]),c_0_311]),c_0_261]) ).

cnf(c_0_374,plain,
    epred29_0,
    inference(spm,[status(thm)],[c_0_312,c_0_56]),
    [final] ).

cnf(c_0_375,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(tc,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_376,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(enc(i(zcmk),X2),X1)))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_377,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),pp))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_101]),
    [final] ).

cnf(c_0_378,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(enc(i(tmk),X2)),X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_98,c_0_79]),
    [final] ).

cnf(c_0_379,plain,
    ( p(enc(pp,enc(i(lp),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_106]),
    [final] ).

cnf(c_0_380,plain,
    ( ~ p(i(enc(i(enc(i(zcmk),X1)),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_314,c_0_101]),
    [final] ).

cnf(c_0_381,plain,
    ( p(enc(w,enc(i(lp),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_134]),
    [final] ).

cnf(c_0_382,plain,
    ( ~ p(enc(zcmk,enc(i(tc),X1)))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_225]),c_0_315]),
    [final] ).

cnf(c_0_383,plain,
    ( p(enc(i(X1),X2))
    | ~ p(enc(tc,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_384,plain,
    ( ~ p(enc(i(zcmk),X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_316,c_0_140]),
    [final] ).

cnf(c_0_385,plain,
    ( p(X1)
    | ~ p(enc(i(enc(i(tc),X2)),X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_180,c_0_79]),
    [final] ).

cnf(c_0_386,plain,
    ( p(X1)
    | ~ p(enc(enc(i(tc),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_387,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(tc,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_79]),c_0_80]),
    [final] ).

fof(c_0_388,plain,
    ( ~ epred34_0
  <=> ! [X2,X1] :
        ( p(enc(enc(i(wk),X1),enc(i(tc),X2)))
        | ~ p(X2)
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_389,plain,
    ( epred35_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_317]) ).

fof(c_0_390,plain,
    ( ~ epred32_0
  <=> ! [X2,X1] :
        ( p(enc(enc(i(wk),X1),enc(i(tmk),X2)))
        | ~ p(X2)
        | ~ p(X1) ) ),
    introduced(definition) ).

cnf(c_0_391,plain,
    ( epred33_0
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_318]) ).

cnf(c_0_392,plain,
    ~ p(w),
    inference(spm,[status(thm)],[c_0_319,c_0_140]),
    [final] ).

cnf(c_0_393,plain,
    ( p(w)
    | ~ p(i(wk)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_134]),
    [final] ).

cnf(c_0_394,plain,
    ( p(enc(enc(i(wk),X1),k))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_232]),c_0_320]),
    [final] ).

cnf(c_0_395,plain,
    ( p(enc(X1,enc(i(enc(X2,X3)),X4)))
    | ~ p(enc(enc(i(zcmk),X5),X1))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X4)
    | ~ p(X5)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_396,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(enc(i(zcmk),X3)),X4)),X5)))
    | ~ p(X5)
    | ~ p(X3)
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_322,c_0_101]),
    [final] ).

cnf(c_0_397,plain,
    ( p(enc(X1,enc(i(enc(i(X2),X3)),X4)))
    | ~ p(enc(enc(i(zcmk),X5),X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(X4)
    | ~ p(X5)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_398,plain,
    ( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
    | ~ p(enc(zcmk,X5))
    | ~ p(enc(X5,X1))
    | ~ p(X4)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]),
    [final] ).

cnf(c_0_399,plain,
    ( p(X1)
    | ~ p(enc(enc(i(zcmk),X2),X3))
    | ~ p(enc(i(X3),X1))
    | ~ p(enc(zcmk,tc))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_400,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(enc(zcmk,tc))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_401,plain,
    ( epred53_0
    | ~ p(enc(zcmk,i(enc(i(zcmk),X1))))
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_327]),
    [final] ).

fof(c_0_402,plain,
    ( ~ epred49_0
  <=> ! [X1,X3] :
        ( p(X1)
        | ~ p(lp)
        | ~ p(enc(X3,X1))
        | ~ p(enc(tmk,i(X3))) ) ),
    introduced(definition) ).

cnf(c_0_403,plain,
    ( p(X1)
    | ~ p(enc(X2,i(X3)))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X3,X1))
    | ~ p(lp) ),
    inference(spm,[status(thm)],[c_0_328,c_0_111]),
    [final] ).

cnf(c_0_404,plain,
    ( epred52_0
    | ~ p(enc(zcmk,i(enc(i(zcmk),X1))))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_329]),
    [final] ).

cnf(c_0_405,plain,
    ( epred51_0
    | ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_330,c_0_91]),
    [final] ).

cnf(c_0_406,plain,
    ( epred50_0
    | ~ p(enc(zcmk,X1))
    | ~ p(enc(tmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_407,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
    | ~ p(enc(wk,X3))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_408,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(enc(X3,X4),X2))
    | ~ p(enc(zcmk,i(X3)))
    | ~ p(X1)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_282,c_0_80]),
    [final] ).

cnf(c_0_409,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(enc(X3,X4),X2))
    | ~ p(enc(zcmk,i(X3)))
    | ~ p(X1)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_290,c_0_80]),
    [final] ).

cnf(c_0_410,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X2))
    | ~ p(X3)
    | ~ p(X4)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_411,plain,
    ( p(enc(enc(i(X1),X2),X3))
    | ~ p(enc(w,X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_412,plain,
    ( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X2))
    | ~ p(X3)
    | ~ p(X1)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_413,plain,
    ( epred48_0
    | ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_335,c_0_91]),
    [final] ).

cnf(c_0_414,plain,
    ( epred46_0
    | ~ p(enc(zcmk,X1))
    | ~ p(enc(tmk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_415,plain,
    ( epred47_0
    | ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_337]),
    [final] ).

cnf(c_0_416,plain,
    ( p(enc(enc(i(X1),X2),X3))
    | ~ p(enc(pp,X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_417,plain,
    ( p(enc(pp,enc(i(enc(i(wk),X1)),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_279,c_0_241]),
    [final] ).

cnf(c_0_418,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(wk,X2))
    | ~ p(enc(X4,X1))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_338,c_0_339]),
    [final] ).

cnf(c_0_419,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(X4,X1))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_338,c_0_189]),
    [final] ).

cnf(c_0_420,plain,
    ~ epred44_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_341])]),
    [final] ).

cnf(c_0_421,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_422,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_423,plain,
    ( p(enc(i(enc(i(zcmk),X1)),enc(i(X2),X3)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_424,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(lp)
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_345,c_0_79]),
    [final] ).

cnf(c_0_425,plain,
    ( p(X1)
    | ~ p(enc(w,enc(i(X2),X1)))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_426,plain,
    ( p(X1)
    | ~ p(enc(w,enc(i(enc(X2,X3)),X1)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_346,c_0_80]),
    [final] ).

cnf(c_0_427,plain,
    ( p(X1)
    | ~ p(enc(w,enc(i(X2),X1)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_428,plain,
    ( p(X1)
    | ~ p(enc(pp,enc(i(X2),X1)))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_429,plain,
    ( p(X1)
    | ~ p(enc(pp,enc(i(enc(X2,X3)),X1)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_347,c_0_80]),
    [final] ).

cnf(c_0_430,plain,
    ( p(X1)
    | ~ p(enc(pp,enc(i(X2),X1)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_431,plain,
    ~ epred42_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_349])]),
    [final] ).

cnf(c_0_432,plain,
    ( p(X1)
    | ~ p(enc(i(enc(X2,X3)),X1))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(lp)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_350,c_0_111]),
    [final] ).

cnf(c_0_433,plain,
    ( p(X1)
    | ~ p(enc(lp,enc(i(X2),X1)))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_434,plain,
    ( ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(enc(zcmk,pp))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_247]),
    [final] ).

cnf(c_0_435,plain,
    ( ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(enc(zcmk,wk))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_91]),
    [final] ).

cnf(c_0_436,plain,
    ( ~ p(enc(pp,enc(i(zcmk),X1)))
    | ~ p(enc(zcmk,w))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_213]),
    [final] ).

cnf(c_0_437,plain,
    ( ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(enc(zcmk,w))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_351]),
    [final] ).

cnf(c_0_438,plain,
    ( ~ p(enc(zcmk,enc(i(X1),X2)))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_439,plain,
    ( p(enc(X1,pp))
    | ~ p(enc(wk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_440,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(i(X2),X1)))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_441,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(i(enc(X2,X3)),X1)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_353,c_0_80]),
    [final] ).

cnf(c_0_442,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(i(X2),X1)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_443,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(X2),X1)))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_444,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(enc(X2,X3)),X1)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_354,c_0_80]),
    [final] ).

cnf(c_0_445,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(X2),X1)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_446,plain,
    ( p(enc(pp,enc(i(X1),X2)))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_447,plain,
    ( p(enc(w,enc(i(X1),X2)))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_448,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(enc(X2,X3),X1))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_299,c_0_80]),
    [final] ).

cnf(c_0_449,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_450,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_451,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(lp)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_357,c_0_111]),
    [final] ).

cnf(c_0_452,plain,
    ( p(enc(w,X1))
    | ~ p(enc(enc(X2,X3),X1))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_303,c_0_80]),
    [final] ).

cnf(c_0_453,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(enc(i(wk),X3),X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_454,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(tc,X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_455,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(pp,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_456,plain,
    ~ epred40_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_362])]),
    [final] ).

cnf(c_0_457,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(tmk,X2))
    | ~ p(enc(wk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_458,plain,
    ( p(enc(w,X1))
    | ~ p(enc(enc(i(zcmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_459,plain,
    ~ epred36_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_365])]),
    [final] ).

cnf(c_0_460,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(w),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_81]),
    [final] ).

cnf(c_0_461,plain,
    ( p(enc(X1,t1))
    | ~ p(enc(enc(i(zcmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_462,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(wk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_463,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(X2),X1)))
    | ~ p(enc(wk,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_464,plain,
    ( p(enc(enc(i(wk),X1),enc(i(tc),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_258,c_0_313]),
    [final] ).

cnf(c_0_465,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(enc(i(zcmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_466,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(lp,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_467,plain,
    ( p(enc(X1,t2))
    | ~ p(enc(enc(i(zcmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_468,plain,
    ( p(enc(X1,k))
    | ~ p(enc(enc(i(zcmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_469,plain,
    ~ epred30_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_372])]),
    [final] ).

cnf(c_0_470,plain,
    ~ epred28_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_374])]),
    [final] ).

cnf(c_0_471,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(i(w),X1))) ),
    inference(spm,[status(thm)],[c_0_246,c_0_375]),
    [final] ).

cnf(c_0_472,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(X2,X1)))
    | ~ p(enc(zcmk,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_473,plain,
    ( p(enc(X1,pp))
    | ~ p(enc(enc(i(zcmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_474,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(X2),X1)))
    | ~ p(enc(tmk,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_475,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(lp,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_476,plain,
    ( p(enc(tmk,X1))
    | ~ p(enc(enc(i(zcmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_477,plain,
    ( ~ p(i(enc(i(X1),X2)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_478,plain,
    ( p(enc(w,X1))
    | ~ p(enc(lp,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_479,plain,
    ( ~ p(enc(i(wk),X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_140]),
    [final] ).

cnf(c_0_480,plain,
    ( ~ p(enc(zcmk,X1))
    | ~ p(enc(tc,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_481,plain,
    ( p(enc(i(k),X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_383,c_0_202]),
    [final] ).

cnf(c_0_482,plain,
    ( ~ p(i(zcmk))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_384,c_0_111]),
    [final] ).

cnf(c_0_483,plain,
    ( p(X1)
    | ~ p(enc(i(X2),X1))
    | ~ p(enc(tc,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_484,plain,
    ( p(enc(i(tmk),X1))
    | ~ p(i(wk))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_81]),
    [final] ).

cnf(c_0_485,plain,
    ( p(X1)
    | ~ p(enc(tc,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_486,plain,
    ( p(X1)
    | ~ p(enc(tmk,X1))
    | ~ p(i(wk)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_91]),
    [final] ).

cnf(c_0_487,plain,
    ( p(enc(k,X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_387,c_0_202]),
    [final] ).

cnf(c_0_488,plain,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_169]),c_0_388]),c_0_317]) ).

cnf(c_0_489,plain,
    epred35_0,
    inference(spm,[status(thm)],[c_0_389,c_0_56]),
    [final] ).

cnf(c_0_490,plain,
    ( ~ epred33_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_88]),c_0_390]),c_0_318]) ).

cnf(c_0_491,plain,
    epred33_0,
    inference(spm,[status(thm)],[c_0_391,c_0_56]),
    [final] ).

cnf(c_0_492,negated_conjecture,
    ~ p(enc(tc,a)),
    inference(spm,[status(thm)],[c_0_114,c_0_375]),
    [final] ).

cnf(c_0_493,plain,
    ~ p(i(wk)),
    inference(spm,[status(thm)],[c_0_392,c_0_393]),
    [final] ).

cnf(c_0_494,plain,
    p(enc(pp,pp)),
    inference(spm,[status(thm)],[c_0_113,c_0_106]),
    [final] ).

cnf(c_0_495,plain,
    ~ p(i(tmk)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_106]),c_0_126]),
    [final] ).

cnf(c_0_496,plain,
    ( p(enc(X1,k))
    | ~ p(enc(wk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_497,plain,
    ( p(enc(X1,enc(i(enc(X2,X3)),X4)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(enc(zcmk,X5))
    | ~ p(enc(X5,X1))
    | ~ p(X4)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_498,plain,
    ( p(enc(enc(i(X1),X2),enc(i(enc(X3,X4)),X5)))
    | ~ p(enc(zcmk,i(X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X5)
    | ~ p(X2)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_499,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
    | ~ p(enc(enc(i(zcmk),X5),X3))
    | ~ p(X4)
    | ~ p(X5)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_500,plain,
    ( p(enc(X1,enc(i(enc(i(X2),X3)),X4)))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(zcmk,X5))
    | ~ p(enc(X5,X1))
    | ~ p(X4)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_501,plain,
    ( p(enc(enc(i(X1),X2),enc(i(enc(i(X3),X4)),X5)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(X5)
    | ~ p(X2)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_502,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
    | ~ p(enc(zcmk,X5))
    | ~ p(enc(X5,X3))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_503,plain,
    ( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
    | ~ p(enc(enc(i(zcmk),X5),X1))
    | ~ p(X5)
    | ~ p(X4)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_398,c_0_79]),
    [final] ).

cnf(c_0_504,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(enc(i(zcmk),X4),X5))
    | ~ p(enc(X5,X3))
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_505,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X5,X3))
    | ~ p(enc(X4,X5))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_506,plain,
    ( p(X1)
    | ~ p(enc(i(X2),X1))
    | ~ p(enc(zcmk,tc))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_507,plain,
    ( p(X1)
    | ~ p(enc(i(enc(i(X2),X3)),X1))
    | ~ p(enc(zcmk,tc))
    | ~ p(enc(zcmk,X2))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_508,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(zcmk,tc))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_509,plain,
    ( p(enc(enc(i(X1),X2),X3))
    | ~ p(enc(zcmk,tc))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_510,plain,
    ( epred53_0
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(zcmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_511,plain,
    ( ~ epred53_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_136]),c_0_402]),c_0_327]),
    [final] ).

cnf(c_0_512,plain,
    ( epred52_0
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_513,plain,
    ( ~ epred52_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_136]),c_0_329]),c_0_337]),
    [final] ).

cnf(c_0_514,plain,
    ( epred51_0
    | ~ p(enc(tmk,X1))
    | ~ p(enc(zcmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_515,plain,
    ( ~ epred51_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_306]),c_0_402]),c_0_207]),
    [final] ).

cnf(c_0_516,plain,
    ( epred49_0
    | p(X1)
    | ~ p(enc(tmk,i(X2)))
    | ~ p(enc(X2,X1))
    | ~ p(lp) ),
    inference(split_equiv,[status(thm)],[c_0_402]),
    [final] ).

cnf(c_0_517,plain,
    ( epred50_0
    | ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_406,c_0_79]),
    [final] ).

cnf(c_0_518,plain,
    ( ~ epred50_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_98]),c_0_402]),c_0_273]),
    [final] ).

cnf(c_0_519,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
    | ~ p(enc(wk,i(X3)))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_407,c_0_80]),
    [final] ).

cnf(c_0_520,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(enc(X2,X3)),X4)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_408,c_0_79]),
    [final] ).

cnf(c_0_521,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(X2,X3)),X4)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_409,c_0_79]),
    [final] ).

cnf(c_0_522,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
    | ~ p(enc(tmk,i(X3)))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_129,c_0_80]),
    [final] ).

cnf(c_0_523,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X4,X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_524,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(enc(i(X2),X3)),X4)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X4)
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_525,plain,
    ( p(enc(enc(i(X1),X2),enc(i(enc(i(enc(i(zcmk),X3)),X4)),X5)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2)
    | ~ p(X5)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_411,c_0_325]),
    [final] ).

cnf(c_0_526,plain,
    ( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X4,X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_527,plain,
    ( p(enc(enc(i(wk),X1),enc(i(enc(i(X2),X3)),X4)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_290,c_0_79]),
    [final] ).

cnf(c_0_528,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
    | ~ p(enc(zcmk,i(X3)))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_342,c_0_80]),
    [final] ).

cnf(c_0_529,plain,
    ( epred48_0
    | ~ p(enc(tmk,X1))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_530,plain,
    ( ~ epred48_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_306]),c_0_208]),c_0_337]),
    [final] ).

cnf(c_0_531,plain,
    ( epred46_0
    | ~ p(enc(tmk,enc(i(zcmk),X1)))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_79]),
    [final] ).

cnf(c_0_532,plain,
    ( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X1))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_533,plain,
    ( epred47_0
    | ~ p(enc(tmk,X1))
    | ~ p(enc(zcmk,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_534,plain,
    ( ~ epred47_0
    | ~ epred46_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_98]),c_0_277]),c_0_337]),
    [final] ).

cnf(c_0_535,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(wk,X4))
    | ~ p(enc(X4,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_536,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(enc(i(wk),X4),X3))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_537,plain,
    ( p(enc(enc(i(X1),X2),enc(i(enc(i(wk),X3)),X4)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2)
    | ~ p(X4)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]),
    [final] ).

cnf(c_0_538,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X1))
    | ~ p(enc(wk,X2))
    | ~ p(X4)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_418,c_0_79]),
    [final] ).

cnf(c_0_539,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X1))
    | ~ p(enc(tmk,X2))
    | ~ p(X4)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_419,c_0_79]),
    [final] ).

cnf(c_0_540,plain,
    ( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X1))
    | ~ p(X3)
    | ~ p(X2)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_541,plain,
    ( p(enc(enc(i(X1),X2),enc(i(enc(i(tmk),X3)),X4)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X4)
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_542,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(enc(i(zcmk),X3),X4))
    | ~ p(enc(X4,X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_543,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X4,X2))
    | ~ p(enc(X3,X4))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_544,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(enc(i(tmk),X4),X3))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_545,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(zcmk,tc))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_281]),c_0_420]),
    [final] ).

cnf(c_0_546,plain,
    ( p(enc(X1,enc(i(X2),X3)))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X4,X1))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_547,plain,
    ( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(X4)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_548,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X4,X3))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_549,plain,
    ( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X4,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_338,c_0_170]),
    [final] ).

cnf(c_0_550,plain,
    ( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X4,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_338,c_0_417]),
    [final] ).

cnf(c_0_551,plain,
    ( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
    | ~ p(enc(zcmk,X1))
    | ~ p(enc(wk,X3))
    | ~ p(X2)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_416,c_0_339]),
    [final] ).

cnf(c_0_552,plain,
    ( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
    | ~ p(enc(zcmk,X1))
    | ~ p(enc(tmk,X3))
    | ~ p(X2)
    | ~ p(X4) ),
    inference(spm,[status(thm)],[c_0_416,c_0_189]),
    [final] ).

cnf(c_0_553,plain,
    ( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(enc(zcmk,X4))
    | ~ p(enc(X4,X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_422,c_0_101]),
    [final] ).

cnf(c_0_554,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X4,X2))
    | ~ p(enc(X3,X4))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_555,plain,
    ( p(enc(i(enc(i(zcmk),X1)),enc(X2,X3)))
    | ~ p(enc(zcmk,i(X2)))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_423,c_0_80]),
    [final] ).

cnf(c_0_556,plain,
    ( p(enc(i(enc(i(zcmk),X1)),X2))
    | ~ p(enc(enc(i(zcmk),X3),X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_557,plain,
    ( p(enc(i(X1),enc(i(X2),X3)))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_558,plain,
    ( p(enc(i(enc(i(zcmk),X1)),X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_559,plain,
    ( p(X1)
    | ~ p(enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1))
    | ~ p(lp)
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_424,c_0_79]),
    [final] ).

cnf(c_0_560,plain,
    ( p(X1)
    | ~ p(enc(enc(i(zcmk),X2),i(X3)))
    | ~ p(enc(w,enc(X3,X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_425,c_0_80]),
    [final] ).

cnf(c_0_561,plain,
    ( p(enc(enc(X1,X2),X3))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(w,X3))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_562,plain,
    ( p(X1)
    | ~ p(enc(w,enc(X2,X1)))
    | ~ p(enc(X3,i(X2)))
    | ~ p(enc(zcmk,X3)) ),
    inference(spm,[status(thm)],[c_0_427,c_0_80]),
    [final] ).

cnf(c_0_563,plain,
    ( p(X1)
    | ~ p(enc(enc(i(zcmk),X2),i(X3)))
    | ~ p(enc(pp,enc(X3,X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_428,c_0_80]),
    [final] ).

cnf(c_0_564,plain,
    ( p(enc(enc(X1,X2),X3))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(pp,X3))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_565,plain,
    ( p(X1)
    | ~ p(enc(pp,enc(X2,X1)))
    | ~ p(enc(X3,i(X2)))
    | ~ p(enc(zcmk,X3)) ),
    inference(spm,[status(thm)],[c_0_430,c_0_80]),
    [final] ).

cnf(c_0_566,plain,
    ( p(X1)
    | ~ p(enc(tmk,i(X2)))
    | ~ p(enc(zcmk,pp))
    | ~ p(enc(X2,X1))
    | ~ p(lp) ),
    inference(spm,[status(thm)],[c_0_403,c_0_247]),
    [final] ).

cnf(c_0_567,plain,
    ( p(X1)
    | ~ p(enc(tmk,i(X2)))
    | ~ p(enc(zcmk,wk))
    | ~ p(enc(X2,X1))
    | ~ p(lp) ),
    inference(spm,[status(thm)],[c_0_403,c_0_91]),
    [final] ).

cnf(c_0_568,plain,
    ( p(X1)
    | ~ p(enc(pp,i(X2)))
    | ~ p(enc(zcmk,w))
    | ~ p(enc(X2,X1))
    | ~ p(lp) ),
    inference(spm,[status(thm)],[c_0_403,c_0_213]),
    [final] ).

cnf(c_0_569,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(enc(i(zcmk),X3),X4))
    | ~ p(enc(X4,X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_570,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(zcmk,tc))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_289]),c_0_431]),
    [final] ).

cnf(c_0_571,plain,
    ( p(X1)
    | ~ p(enc(tmk,i(X2)))
    | ~ p(enc(zcmk,w))
    | ~ p(enc(X2,X1))
    | ~ p(lp) ),
    inference(spm,[status(thm)],[c_0_403,c_0_351]),
    [final] ).

cnf(c_0_572,plain,
    ( p(enc(enc(X1,X2),X3))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(lp)
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_573,plain,
    ( p(X1)
    | ~ p(enc(enc(i(zcmk),X2),X3))
    | ~ p(enc(i(X3),X1))
    | ~ p(lp)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_433,c_0_111]),
    [final] ).

cnf(c_0_574,plain,
    ( p(X1)
    | ~ p(enc(enc(i(zcmk),X2),i(X3)))
    | ~ p(enc(lp,enc(X3,X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_433,c_0_80]),
    [final] ).

cnf(c_0_575,plain,
    ( p(X1)
    | ~ p(enc(i(enc(i(X2),X3)),X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(lp)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_151,c_0_111]),
    [final] ).

cnf(c_0_576,plain,
    ( p(enc(enc(X1,X2),X3))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(lp,X3))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_577,plain,
    ( ~ p(enc(zcmk,pp))
    | ~ p(enc(tmk,X1))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_578,plain,
    ( ~ p(enc(zcmk,wk))
    | ~ p(enc(tmk,X1))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_579,plain,
    ( ~ p(enc(zcmk,w))
    | ~ p(enc(pp,X1))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_580,plain,
    ( ~ p(enc(zcmk,w))
    | ~ p(enc(tmk,X1))
    | ~ p(enc(zcmk,X1))
    | ~ p(lp) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_581,plain,
    ( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(enc(enc(i(zcmk),X4),X1))
    | ~ p(X2)
    | ~ p(X3)
    | ~ p(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_582,plain,
    ( ~ p(enc(zcmk,enc(X1,X2)))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(lp)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_438,c_0_80]),
    [final] ).

cnf(c_0_583,plain,
    ( p(enc(enc(i(X1),X2),enc(i(enc(i(zcmk),X3)),X4)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X4)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_584,plain,
    ( ~ p(enc(wk,zcmk))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_339]),c_0_439]),
    [final] ).

cnf(c_0_585,plain,
    ( ~ p(enc(tmk,zcmk))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_189]),c_0_113]),
    [final] ).

cnf(c_0_586,plain,
    ( ~ p(enc(zcmk,zcmk))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_112]),c_0_80]),
    [final] ).

cnf(c_0_587,plain,
    ( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
    | ~ p(enc(enc(i(zcmk),X4),X3))
    | ~ p(X4)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_588,plain,
    ( p(X1)
    | ~ p(enc(enc(i(zcmk),X2),i(X3)))
    | ~ p(enc(tc,enc(X3,X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_440,c_0_80]),
    [final] ).

cnf(c_0_589,plain,
    ( p(enc(enc(X1,X2),X3))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(tc,X3))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_590,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(X2,X1)))
    | ~ p(enc(X3,i(X2)))
    | ~ p(enc(zcmk,X3)) ),
    inference(spm,[status(thm)],[c_0_442,c_0_80]),
    [final] ).

cnf(c_0_591,plain,
    ( p(X1)
    | ~ p(enc(enc(i(zcmk),X2),i(X3)))
    | ~ p(enc(tmk,enc(X3,X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_443,c_0_80]),
    [final] ).

cnf(c_0_592,plain,
    ( p(enc(enc(X1,X2),X3))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(tmk,X3))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_593,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(X2,X1)))
    | ~ p(enc(X3,i(X2)))
    | ~ p(enc(zcmk,X3)) ),
    inference(spm,[status(thm)],[c_0_445,c_0_80]),
    [final] ).

cnf(c_0_594,plain,
    ( p(enc(pp,enc(i(X1),X2)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_595,plain,
    ( p(enc(w,enc(i(X1),X2)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_596,plain,
    ( p(enc(X1,enc(i(w),X2)))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_597,plain,
    ( p(enc(enc(i(X1),X2),enc(i(w),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_598,plain,
    ( p(enc(pp,enc(i(enc(X1,X2)),X3)))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_448,c_0_79]),
    [final] ).

cnf(c_0_599,plain,
    ( p(enc(pp,enc(i(enc(i(X1),X2)),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_299,c_0_79]),
    [final] ).

cnf(c_0_600,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_601,plain,
    ( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_602,plain,
    ( p(enc(X1,enc(i(pp),X2)))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_603,plain,
    ( p(enc(enc(i(X1),X2),enc(i(pp),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_604,plain,
    ( p(enc(X1,enc(i(w),X2)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_338,c_0_240]),
    [final] ).

cnf(c_0_605,plain,
    ( p(enc(X1,enc(i(pp),X2)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_338,c_0_79]),
    [final] ).

cnf(c_0_606,plain,
    ( p(enc(enc(i(tmk),X1),enc(X2,X3)))
    | ~ p(enc(tmk,i(X2)))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_80]),
    [final] ).

cnf(c_0_607,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_608,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
    | ~ p(enc(zcmk,X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_609,plain,
    ( p(enc(X1,enc(i(lp),X2)))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_610,plain,
    ( p(enc(enc(i(X1),X2),enc(i(lp),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_611,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(lp)
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_451,c_0_79]),
    [final] ).

cnf(c_0_612,plain,
    ( p(enc(X1,enc(i(lp),X2)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_357,c_0_79]),
    [final] ).

cnf(c_0_613,plain,
    ( p(enc(w,enc(i(enc(X1,X2)),X3)))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_452,c_0_79]),
    [final] ).

cnf(c_0_614,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(wk,X3))
    | ~ p(enc(X3,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_615,plain,
    ( p(enc(w,enc(i(enc(i(X1),X2)),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_303,c_0_79]),
    [final] ).

cnf(c_0_616,plain,
    ( p(enc(X1,enc(i(tc),X2)))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_617,plain,
    ( p(enc(enc(i(X1),X2),enc(i(tc),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_618,plain,
    ( p(enc(X1,enc(i(tc),X2)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_454,c_0_79]),
    [final] ).

cnf(c_0_619,plain,
    ( p(enc(enc(i(X1),X2),X3))
    | ~ p(enc(tc,X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_620,plain,
    ( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
    | ~ p(enc(wk,X2))
    | ~ p(X1)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_455,c_0_339]),
    [final] ).

cnf(c_0_621,plain,
    ( p(enc(X1,enc(i(tmk),X2)))
    | ~ p(enc(enc(i(zcmk),X3),X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_622,plain,
    ( p(enc(enc(i(X1),X2),enc(i(tmk),X3)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X3)
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_623,plain,
    ( p(enc(X1,enc(i(tmk),X2)))
    | ~ p(enc(zcmk,X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_422,c_0_79]),
    [final] ).

cnf(c_0_624,plain,
    ( p(enc(enc(i(X1),X2),X3))
    | ~ p(enc(tmk,X3))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_625,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(enc(i(zcmk),X2),X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_626,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X3,X1))
    | ~ p(enc(X2,X3)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_627,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(zcmk,tc))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_298]),c_0_456]),
    [final] ).

cnf(c_0_628,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(enc(i(tmk),X3),X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_629,plain,
    ( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
    | ~ p(enc(wk,X1))
    | ~ p(X2)
    | ~ p(X3) ),
    inference(spm,[status(thm)],[c_0_457,c_0_101]),
    [final] ).

cnf(c_0_630,plain,
    ( p(enc(w,X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_631,plain,
    ( p(enc(w,enc(i(X1),X2)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_632,plain,
    ( p(enc(w,X1))
    | ~ p(enc(enc(i(zcmk),X2),X3))
    | ~ p(enc(X3,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_633,plain,
    ( p(enc(w,X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X3,X1))
    | ~ p(enc(X2,X3)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_634,plain,
    ( p(enc(w,X1))
    | ~ p(enc(zcmk,tc))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_302]),c_0_459]),
    [final] ).

cnf(c_0_635,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(enc(w,X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_636,plain,
    ( p(enc(X1,t1))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_637,plain,
    ( p(enc(enc(i(X1),X2),t1))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_638,plain,
    ( p(enc(enc(i(wk),X1),enc(i(w),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_79]),
    [final] ).

cnf(c_0_639,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(enc(i(wk),X2),X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_462,c_0_79]),
    [final] ).

cnf(c_0_640,plain,
    ( p(enc(pp,enc(X1,X2)))
    | ~ p(enc(wk,i(X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_339,c_0_80]),
    [final] ).

cnf(c_0_641,plain,
    ( p(enc(enc(i(tmk),X1),t1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_81]),
    [final] ).

cnf(c_0_642,plain,
    ( p(enc(pp,enc(X1,X2)))
    | ~ p(enc(tmk,i(X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_189,c_0_80]),
    [final] ).

cnf(c_0_643,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(enc(i(tmk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_644,plain,
    ( p(enc(enc(i(wk),X1),enc(X2,X3)))
    | ~ p(enc(wk,i(X2)))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_80]),
    [final] ).

cnf(c_0_645,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(X2,X1)))
    | ~ p(enc(wk,i(X2))) ),
    inference(spm,[status(thm)],[c_0_463,c_0_80]),
    [final] ).

cnf(c_0_646,plain,
    ( p(enc(X1,enc(i(tc),X2)))
    | ~ p(enc(wk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_647,plain,
    ( p(enc(enc(i(wk),X1),enc(i(tmk),X2)))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_258,c_0_214]),
    [final] ).

cnf(c_0_648,plain,
    ( p(enc(enc(i(wk),X1),enc(i(pp),X2)))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_79]),
    [final] ).

cnf(c_0_649,plain,
    ( p(enc(pp,X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_650,plain,
    ( p(enc(pp,enc(i(X1),X2)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_651,plain,
    ( p(enc(enc(i(tmk),X1),X2))
    | ~ p(lp)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_466,c_0_111]),
    [final] ).

cnf(c_0_652,plain,
    ( p(enc(X1,t2))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_653,plain,
    ( p(enc(enc(i(X1),X2),t2))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_654,plain,
    ( p(enc(w,enc(X1,X2)))
    | ~ p(enc(wk,i(X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_280,c_0_80]),
    [final] ).

cnf(c_0_655,plain,
    ( p(enc(w,X1))
    | ~ p(enc(enc(i(wk),X2),X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_656,plain,
    ( p(enc(w,X1))
    | ~ p(enc(wk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_657,plain,
    ( p(enc(X1,k))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_658,plain,
    ( p(enc(enc(i(X1),X2),k))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_659,plain,
    ( p(enc(X1,enc(i(tmk),X2)))
    | ~ p(enc(wk,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_457,c_0_79]),
    [final] ).

cnf(c_0_660,plain,
    ( p(enc(w,enc(i(pp),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_134]),
    [final] ).

cnf(c_0_661,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(tc,X2))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_375]),
    [final] ).

cnf(c_0_662,plain,
    ( p(enc(w,enc(X1,X2)))
    | ~ p(enc(tmk,i(X1)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_166,c_0_80]),
    [final] ).

cnf(c_0_663,plain,
    ( p(enc(w,enc(i(tc),X1)))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_309]),c_0_469]),
    [final] ).

cnf(c_0_664,plain,
    ( p(enc(w,enc(i(tmk),X1)))
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_311]),c_0_470]),
    [final] ).

cnf(c_0_665,plain,
    ( p(enc(enc(i(wk),X1),enc(X2,X3)))
    | ~ p(enc(tmk,i(X2)))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_80]),
    [final] ).

cnf(c_0_666,plain,
    ( p(enc(w,X1))
    | ~ p(enc(tc,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_667,plain,
    ( p(enc(i(X1),enc(i(tmk),X2)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_668,plain,
    ( p(enc(X1,X2))
    | ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(tmk,X2)) ),
    inference(spm,[status(thm)],[c_0_472,c_0_112]),
    [final] ).

cnf(c_0_669,plain,
    ( p(enc(X1,pp))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_670,plain,
    ( p(enc(enc(i(X1),X2),pp))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_671,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(X2,X1)))
    | ~ p(enc(tmk,i(X2))) ),
    inference(spm,[status(thm)],[c_0_474,c_0_80]),
    [final] ).

cnf(c_0_672,plain,
    ( p(enc(pp,X1))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_475,c_0_111]),
    [final] ).

cnf(c_0_673,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(lp)
    | ~ p(X1)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_111]),
    [final] ).

cnf(c_0_674,plain,
    ( p(enc(tmk,X1))
    | ~ p(enc(zcmk,X2))
    | ~ p(enc(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_675,plain,
    ( p(enc(tmk,enc(i(X1),X2)))
    | ~ p(enc(zcmk,X1))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_676,plain,
    ( ~ p(enc(zcmk,i(X1)))
    | ~ p(i(enc(X1,X2)))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_477,c_0_80]),
    [final] ).

cnf(c_0_677,plain,
    ( ~ p(enc(enc(i(zcmk),X1),X2))
    | ~ p(i(X2))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_678,plain,
    ( ~ p(enc(zcmk,X1))
    | ~ p(enc(X1,X2))
    | ~ p(i(X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_679,plain,
    ( p(enc(w,X1))
    | ~ p(lp)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_478,c_0_111]),
    [final] ).

cnf(c_0_680,plain,
    ( p(enc(enc(i(tmk),X1),t2))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_81]),
    [final] ).

cnf(c_0_681,plain,
    ( p(X1)
    | ~ p(enc(tc,enc(i(pp),X1))) ),
    inference(spm,[status(thm)],[c_0_375,c_0_79]),
    [final] ).

cnf(c_0_682,plain,
    ( p(enc(enc(i(wk),X1),X2))
    | ~ p(enc(enc(i(wk),X3),X2))
    | ~ p(X3)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_683,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(pp),X1))) ),
    inference(spm,[status(thm)],[c_0_247,c_0_79]),
    [final] ).

cnf(c_0_684,plain,
    ( ~ p(enc(wk,X1))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_685,plain,
    ( ~ p(enc(tc,enc(i(zcmk),X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_480,c_0_79]),
    [final] ).

cnf(c_0_686,plain,
    ( ~ p(enc(zcmk,i(X1)))
    | ~ p(enc(X1,X2))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_226,c_0_80]),
    [final] ).

cnf(c_0_687,plain,
    ( ~ p(enc(enc(i(zcmk),X1),X2))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_688,plain,
    ( ~ p(enc(zcmk,X1))
    | ~ p(enc(X1,X2))
    | ~ p(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_689,plain,
    ( ~ p(enc(zcmk,k))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_226,c_0_481]),
    [final] ).

cnf(c_0_690,plain,
    ( ~ p(enc(zcmk,X1))
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_691,plain,
    ( ~ p(zcmk)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_482,c_0_140]),
    [final] ).

cnf(c_0_692,plain,
    ( ~ p(enc(zcmk,X1))
    | ~ p(i(X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_693,plain,
    ( p(X1)
    | ~ p(enc(tc,i(X2)))
    | ~ p(enc(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_483,c_0_80]),
    [final] ).

cnf(c_0_694,plain,
    ( p(enc(i(tmk),X1))
    | ~ p(wk)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_484,c_0_140]),
    [final] ).

cnf(c_0_695,plain,
    ( p(enc(i(X1),X2))
    | ~ p(tc)
    | ~ p(X2)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_383,c_0_111]),
    [final] ).

cnf(c_0_696,plain,
    ( p(X1)
    | ~ p(enc(X2,X1))
    | ~ p(tc)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_485,c_0_111]),
    [final] ).

cnf(c_0_697,plain,
    ( p(X1)
    | ~ p(enc(k,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_698,plain,
    ( p(X1)
    | ~ p(enc(tmk,enc(i(wk),X1))) ),
    inference(spm,[status(thm)],[c_0_91,c_0_79]),
    [final] ).

cnf(c_0_699,plain,
    ( p(X1)
    | ~ p(enc(tmk,X1))
    | ~ p(wk) ),
    inference(spm,[status(thm)],[c_0_486,c_0_140]),
    [final] ).

cnf(c_0_700,plain,
    ( p(X1)
    | ~ p(enc(i(k),X1)) ),
    inference(spm,[status(thm)],[c_0_487,c_0_79]),
    [final] ).

cnf(c_0_701,plain,
    ( p(X1)
    | ~ p(enc(i(X2),X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_111,c_0_79]),
    [final] ).

cnf(c_0_702,plain,
    ( p(t1)
    | ~ p(i(w)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_193]),
    [final] ).

cnf(c_0_703,plain,
    ( p(k)
    | ~ p(i(tc)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_202]),
    [final] ).

cnf(c_0_704,plain,
    ( p(t2)
    | ~ p(i(lp)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_56]),
    [final] ).

cnf(c_0_705,plain,
    ( p(X1)
    | ~ p(i(X1)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_80]),
    [final] ).

cnf(c_0_706,plain,
    ~ epred34_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_488,c_0_489])]),
    [final] ).

cnf(c_0_707,plain,
    ~ epred32_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_490,c_0_491])]),
    [final] ).

cnf(c_0_708,plain,
    ~ p(tc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_111]),c_0_115])]),
    [final] ).

cnf(c_0_709,negated_conjecture,
    ~ p(enc(tmk,a)),
    inference(spm,[status(thm)],[c_0_114,c_0_247]),
    [final] ).

cnf(c_0_710,plain,
    ~ p(wk),
    inference(spm,[status(thm)],[c_0_493,c_0_140]),
    [final] ).

cnf(c_0_711,plain,
    ~ p(i(pp)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_494]),c_0_126]),
    [final] ).

cnf(c_0_712,plain,
    ~ p(tmk),
    inference(spm,[status(thm)],[c_0_495,c_0_140]),
    [final] ).

cnf(c_0_713,plain,
    p(enc(pp,t1)),
    inference(spm,[status(thm)],[c_0_305,c_0_106]),
    [final] ).

cnf(c_0_714,plain,
    p(enc(pp,t2)),
    inference(spm,[status(thm)],[c_0_307,c_0_106]),
    [final] ).

cnf(c_0_715,plain,
    p(enc(w,t2)),
    inference(spm,[status(thm)],[c_0_259,c_0_134]),
    [final] ).

cnf(c_0_716,plain,
    p(enc(w,k)),
    inference(spm,[status(thm)],[c_0_496,c_0_134]),
    [final] ).

cnf(c_0_717,plain,
    p(enc(pp,k)),
    inference(spm,[status(thm)],[c_0_308,c_0_106]),
    [final] ).

cnf(c_0_718,plain,
    p(enc(w,pp)),
    inference(spm,[status(thm)],[c_0_439,c_0_134]),
    [final] ).

cnf(c_0_719,plain,
    p(i(kk)),
    i_0_22,
    [final] ).

cnf(c_0_720,plain,
    p(kk),
    i_0_21,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SWV238+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 23:38:34 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 10.82/2.85  # ENIGMATIC: Solved by autoschedule:
% 10.82/2.85  # No SInE strategy applied
% 10.82/2.85  # Trying AutoSched0 for 150 seconds
% 10.82/2.85  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SE_S0Y
% 10.82/2.85  # and selection function SelectMaxLComplexAvoidPosPred.
% 10.82/2.85  #
% 10.82/2.85  # Preprocessing time       : 0.024 s
% 10.82/2.85  
% 10.82/2.85  # No proof found!
% 10.82/2.85  # SZS status Satisfiable
% 10.82/2.85  # SZS output start Saturation
% See solution above
% 10.82/2.85  
% 10.82/2.85  # -------------------------------------------------
% 10.82/2.85  # User time                : 0.176 s
% 10.82/2.85  # System time              : 0.009 s
% 10.82/2.85  # Total time               : 0.185 s
% 10.82/2.85  # Maximum resident set size: 7116 pages
% 10.82/2.85  
%------------------------------------------------------------------------------