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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : COM127+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n024.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 16091.75MB
% OS       : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:03:41 EDT 2016

% Result   : Theorem 213.75s
% Output   : CNFRefutation 213.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  140 (  24 unt;   0 def)
%            Number of atoms       :  562 ( 168 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  665 ( 243   ~; 321   |;  76   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;   6 con; 0-3 aty)
%            Number of variables   :  564 (  64 sgn 202   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X10,X2,X1,X12] :
      ( ( equal(X10,X12)
        & equal(X2,vvar(X1)) )
     => ( ( equal(X1,X12)
         => visFreeVar(X10,X2) )
        & ( visFreeVar(X10,X2)
         => equal(X1,X12) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4',isFreeVar0) ).

fof(8,axiom,
    ! [X10,X2,X5,X12,X6] :
      ( ( equal(X10,X12)
        & equal(X2,vapp(X5,X6)) )
     => ( ( ( visFreeVar(X12,X5)
            | visFreeVar(X12,X6) )
         => visFreeVar(X10,X2) )
        & ( visFreeVar(X10,X2)
         => ( visFreeVar(X12,X5)
            | visFreeVar(X12,X6) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4',isFreeVar2) ).

fof(12,axiom,
    ! [X10,X2,X7] : ~ equal(vvar(X10),vapp(X2,X7)),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4','DIFF-var-app') ).

fof(13,axiom,
    ! [X18] : ~ equal(vnoType,vsomeType(X18)),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4','DIFF-noType-someType') ).

fof(15,axiom,
    ! [X10,X11,X18,X2] : ~ equal(vvar(X10),vabs(X11,X18,X2)),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4','DIFF-var-abs') ).

fof(18,axiom,
    ! [X14,X13,X10,X22,X23,X1,X16] :
      ( ( equal(X10,X1)
        & equal(X22,vbind(X13,X14,X16)) )
     => ( ~ equal(X1,X13)
       => ( equal(X23,vlookup(X10,X22))
         => equal(X23,vlookup(X1,X16)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4',lookup2) ).

fof(28,axiom,
    ! [X17,X10,X2,X1,X12,X4] :
      ( ( equal(X10,X12)
        & equal(X2,vabs(X1,X17,X4)) )
     => ( ( ( ~ equal(X1,X12)
            & visFreeVar(X12,X4) )
         => visFreeVar(X10,X2) )
        & ( visFreeVar(X10,X2)
         => ( ~ equal(X1,X12)
            & visFreeVar(X12,X4) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4',isFreeVar1) ).

fof(33,axiom,
    ! [X10,X2,X7,X23,X5,X1,X4,X6] :
      ( ( equal(X10,X1)
        & equal(X2,X4)
        & equal(X7,vapp(X5,X6)) )
     => ( equal(X23,vsubst(X10,X2,X7))
       => equal(X23,vapp(vsubst(X1,X4,X5),vsubst(X1,X4,X6))) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4',subst2) ).

fof(34,axiom,
    ! [X4,X1,X10,X2,X7,X23,X13] :
      ( ( equal(X10,X1)
        & equal(X2,X4)
        & equal(X7,vvar(X13)) )
     => ( ~ equal(X1,X13)
       => ( equal(X23,vsubst(X10,X2,X7))
         => equal(X23,vvar(X13)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4',subst1) ).

fof(35,axiom,
    ! [X1,X13,X10,X2,X7,X23,X4] :
      ( ( equal(X10,X1)
        & equal(X2,X4)
        & equal(X7,vvar(X13)) )
     => ( equal(X1,X13)
       => ( equal(X23,vsubst(X10,X2,X7))
         => equal(X23,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4',subst0) ).

fof(42,axiom,
    ! [X16,X1,X17] :
      ( equal(vlookup(X1,X16),vsomeType(X17))
     => vtcheck(X16,vvar(X1),X17) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4','T-var') ).

fof(47,axiom,
    ! [X4,X17,X16] :
      ( vtcheck(X16,X4,X17)
     => ( ? [X1] :
            ( equal(X4,vvar(X1))
            & equal(vlookup(X1,X16),vsomeType(X17)) )
        | ? [X1,X6,X31,X32] :
            ( equal(X4,vabs(X1,X31,X6))
            & equal(X17,varrow(X31,X32))
            & vtcheck(vbind(X1,X31,X16),X6,X32) )
        | ? [X5,X6,X3] :
            ( equal(X4,vapp(X5,X6))
            & vtcheck(X16,X5,varrow(X3,X17))
            & vtcheck(X16,X6,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4','T-inv') ).

fof(51,conjecture,
    ! [X1,X3,X16,X13,X17] :
      ( ( ~ visFreeVar(X1,vvar(X13))
        & vtcheck(X16,vvar(X13),X17) )
     => vtcheck(vbind(X1,X3,X16),vvar(X13),X17) ),
    file('/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4','T-Weak-FreeVar-var') ).

fof(52,negated_conjecture,
    ~ ! [X1,X3,X16,X13,X17] :
        ( ( ~ visFreeVar(X1,vvar(X13))
          & vtcheck(X16,vvar(X13),X17) )
       => vtcheck(vbind(X1,X3,X16),vvar(X13),X17) ),
    inference(assume_negation,[status(cth)],[51]) ).

fof(62,negated_conjecture,
    ~ ! [X1,X3,X16,X13,X17] :
        ( ( ~ visFreeVar(X1,vvar(X13))
          & vtcheck(X16,vvar(X13),X17) )
       => vtcheck(vbind(X1,X3,X16),vvar(X13),X17) ),
    inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).

fof(89,plain,
    ! [X10,X2,X1,X12] :
      ( ~ equal(X10,X12)
      | ~ equal(X2,vvar(X1))
      | ( ( ~ equal(X1,X12)
          | visFreeVar(X10,X2) )
        & ( ~ visFreeVar(X10,X2)
          | equal(X1,X12) ) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(90,plain,
    ! [X13,X14,X15,X16] :
      ( ~ equal(X13,X16)
      | ~ equal(X14,vvar(X15))
      | ( ( ~ equal(X15,X16)
          | visFreeVar(X13,X14) )
        & ( ~ visFreeVar(X13,X14)
          | equal(X15,X16) ) ) ),
    inference(variable_rename,[status(thm)],[89]) ).

fof(91,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ equal(X15,X16)
        | visFreeVar(X13,X14)
        | ~ equal(X13,X16)
        | ~ equal(X14,vvar(X15)) )
      & ( ~ visFreeVar(X13,X14)
        | equal(X15,X16)
        | ~ equal(X13,X16)
        | ~ equal(X14,vvar(X15)) ) ),
    inference(distribute,[status(thm)],[90]) ).

cnf(92,plain,
    ( X2 = X4
    | X1 != vvar(X2)
    | X3 != X4
    | ~ visFreeVar(X3,X1) ),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(93,plain,
    ( visFreeVar(X3,X1)
    | X1 != vvar(X2)
    | X3 != X4
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[91]) ).

fof(94,plain,
    ! [X10,X2,X5,X12,X6] :
      ( ~ equal(X10,X12)
      | ~ equal(X2,vapp(X5,X6))
      | ( ( ( ~ visFreeVar(X12,X5)
            & ~ visFreeVar(X12,X6) )
          | visFreeVar(X10,X2) )
        & ( ~ visFreeVar(X10,X2)
          | visFreeVar(X12,X5)
          | visFreeVar(X12,X6) ) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(95,plain,
    ! [X13,X14,X15,X16,X17] :
      ( ~ equal(X13,X16)
      | ~ equal(X14,vapp(X15,X17))
      | ( ( ( ~ visFreeVar(X16,X15)
            & ~ visFreeVar(X16,X17) )
          | visFreeVar(X13,X14) )
        & ( ~ visFreeVar(X13,X14)
          | visFreeVar(X16,X15)
          | visFreeVar(X16,X17) ) ) ),
    inference(variable_rename,[status(thm)],[94]) ).

fof(96,plain,
    ! [X13,X14,X15,X16,X17] :
      ( ( ~ visFreeVar(X16,X15)
        | visFreeVar(X13,X14)
        | ~ equal(X13,X16)
        | ~ equal(X14,vapp(X15,X17)) )
      & ( ~ visFreeVar(X16,X17)
        | visFreeVar(X13,X14)
        | ~ equal(X13,X16)
        | ~ equal(X14,vapp(X15,X17)) )
      & ( ~ visFreeVar(X13,X14)
        | visFreeVar(X16,X15)
        | visFreeVar(X16,X17)
        | ~ equal(X13,X16)
        | ~ equal(X14,vapp(X15,X17)) ) ),
    inference(distribute,[status(thm)],[95]) ).

cnf(97,plain,
    ( visFreeVar(X5,X3)
    | visFreeVar(X5,X2)
    | X1 != vapp(X2,X3)
    | X4 != X5
    | ~ visFreeVar(X4,X1) ),
    inference(split_conjunct,[status(thm)],[96]) ).

cnf(99,plain,
    ( visFreeVar(X4,X1)
    | X1 != vapp(X2,X3)
    | X4 != X5
    | ~ visFreeVar(X5,X2) ),
    inference(split_conjunct,[status(thm)],[96]) ).

fof(109,plain,
    ! [X11,X12,X13] : ~ equal(vvar(X11),vapp(X12,X13)),
    inference(variable_rename,[status(thm)],[12]) ).

cnf(110,plain,
    vvar(X1) != vapp(X2,X3),
    inference(split_conjunct,[status(thm)],[109]) ).

fof(111,plain,
    ! [X19] : ~ equal(vnoType,vsomeType(X19)),
    inference(variable_rename,[status(thm)],[13]) ).

cnf(112,plain,
    vnoType != vsomeType(X1),
    inference(split_conjunct,[status(thm)],[111]) ).

fof(119,plain,
    ! [X19,X20,X21,X22] : ~ equal(vvar(X19),vabs(X20,X21,X22)),
    inference(variable_rename,[status(thm)],[15]) ).

cnf(120,plain,
    vvar(X1) != vabs(X2,X3,X4),
    inference(split_conjunct,[status(thm)],[119]) ).

fof(127,plain,
    ! [X14,X13,X10,X22,X23,X1,X16] :
      ( ~ equal(X10,X1)
      | ~ equal(X22,vbind(X13,X14,X16))
      | equal(X1,X13)
      | ~ equal(X23,vlookup(X10,X22))
      | equal(X23,vlookup(X1,X16)) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(128,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] :
      ( ~ equal(X26,X29)
      | ~ equal(X27,vbind(X25,X24,X30))
      | equal(X29,X25)
      | ~ equal(X28,vlookup(X26,X27))
      | equal(X28,vlookup(X29,X30)) ),
    inference(variable_rename,[status(thm)],[127]) ).

cnf(129,plain,
    ( X1 = vlookup(X2,X3)
    | X2 = X6
    | X1 != vlookup(X4,X5)
    | X5 != vbind(X6,X7,X3)
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[128]) ).

fof(164,plain,
    ! [X17,X10,X2,X1,X12,X4] :
      ( ~ equal(X10,X12)
      | ~ equal(X2,vabs(X1,X17,X4))
      | ( ( equal(X1,X12)
          | ~ visFreeVar(X12,X4)
          | visFreeVar(X10,X2) )
        & ( ~ visFreeVar(X10,X2)
          | ( ~ equal(X1,X12)
            & visFreeVar(X12,X4) ) ) ) ),
    inference(fof_nnf,[status(thm)],[28]) ).

fof(165,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ~ equal(X19,X22)
      | ~ equal(X20,vabs(X21,X18,X23))
      | ( ( equal(X21,X22)
          | ~ visFreeVar(X22,X23)
          | visFreeVar(X19,X20) )
        & ( ~ visFreeVar(X19,X20)
          | ( ~ equal(X21,X22)
            & visFreeVar(X22,X23) ) ) ) ),
    inference(variable_rename,[status(thm)],[164]) ).

fof(166,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ( equal(X21,X22)
        | ~ visFreeVar(X22,X23)
        | visFreeVar(X19,X20)
        | ~ equal(X19,X22)
        | ~ equal(X20,vabs(X21,X18,X23)) )
      & ( ~ equal(X21,X22)
        | ~ visFreeVar(X19,X20)
        | ~ equal(X19,X22)
        | ~ equal(X20,vabs(X21,X18,X23)) )
      & ( visFreeVar(X22,X23)
        | ~ visFreeVar(X19,X20)
        | ~ equal(X19,X22)
        | ~ equal(X20,vabs(X21,X18,X23)) ) ),
    inference(distribute,[status(thm)],[165]) ).

cnf(168,plain,
    ( X1 != vabs(X2,X3,X4)
    | X5 != X6
    | ~ visFreeVar(X5,X1)
    | X2 != X6 ),
    inference(split_conjunct,[status(thm)],[166]) ).

fof(185,plain,
    ! [X10,X2,X7,X23,X5,X1,X4,X6] :
      ( ~ equal(X10,X1)
      | ~ equal(X2,X4)
      | ~ equal(X7,vapp(X5,X6))
      | ~ equal(X23,vsubst(X10,X2,X7))
      | equal(X23,vapp(vsubst(X1,X4,X5),vsubst(X1,X4,X6))) ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(186,plain,
    ! [X24,X25,X26,X27,X28,X29,X30,X31] :
      ( ~ equal(X24,X29)
      | ~ equal(X25,X30)
      | ~ equal(X26,vapp(X28,X31))
      | ~ equal(X27,vsubst(X24,X25,X26))
      | equal(X27,vapp(vsubst(X29,X30,X28),vsubst(X29,X30,X31))) ),
    inference(variable_rename,[status(thm)],[185]) ).

cnf(187,plain,
    ( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
    | X1 != vsubst(X6,X7,X8)
    | X8 != vapp(X4,X5)
    | X7 != X3
    | X6 != X2 ),
    inference(split_conjunct,[status(thm)],[186]) ).

fof(188,plain,
    ! [X4,X1,X10,X2,X7,X23,X13] :
      ( ~ equal(X10,X1)
      | ~ equal(X2,X4)
      | ~ equal(X7,vvar(X13))
      | equal(X1,X13)
      | ~ equal(X23,vsubst(X10,X2,X7))
      | equal(X23,vvar(X13)) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(189,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] :
      ( ~ equal(X26,X25)
      | ~ equal(X27,X24)
      | ~ equal(X28,vvar(X30))
      | equal(X25,X30)
      | ~ equal(X29,vsubst(X26,X27,X28))
      | equal(X29,vvar(X30)) ),
    inference(variable_rename,[status(thm)],[188]) ).

cnf(190,plain,
    ( X1 = vvar(X2)
    | X6 = X2
    | X1 != vsubst(X3,X4,X5)
    | X5 != vvar(X2)
    | X4 != X7
    | X3 != X6 ),
    inference(split_conjunct,[status(thm)],[189]) ).

fof(191,plain,
    ! [X1,X13,X10,X2,X7,X23,X4] :
      ( ~ equal(X10,X1)
      | ~ equal(X2,X4)
      | ~ equal(X7,vvar(X13))
      | ~ equal(X1,X13)
      | ~ equal(X23,vsubst(X10,X2,X7))
      | equal(X23,X4) ),
    inference(fof_nnf,[status(thm)],[35]) ).

fof(192,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] :
      ( ~ equal(X26,X24)
      | ~ equal(X27,X30)
      | ~ equal(X28,vvar(X25))
      | ~ equal(X24,X25)
      | ~ equal(X29,vsubst(X26,X27,X28))
      | equal(X29,X30) ),
    inference(variable_rename,[status(thm)],[191]) ).

cnf(193,plain,
    ( X1 = X2
    | X1 != vsubst(X3,X4,X5)
    | X6 != X7
    | X5 != vvar(X7)
    | X4 != X2
    | X3 != X6 ),
    inference(split_conjunct,[status(thm)],[192]) ).

fof(260,plain,
    ! [X16,X1,X17] :
      ( ~ equal(vlookup(X1,X16),vsomeType(X17))
      | vtcheck(X16,vvar(X1),X17) ),
    inference(fof_nnf,[status(thm)],[42]) ).

fof(261,plain,
    ! [X18,X19,X20] :
      ( ~ equal(vlookup(X19,X18),vsomeType(X20))
      | vtcheck(X18,vvar(X19),X20) ),
    inference(variable_rename,[status(thm)],[260]) ).

cnf(262,plain,
    ( vtcheck(X1,vvar(X2),X3)
    | vlookup(X2,X1) != vsomeType(X3) ),
    inference(split_conjunct,[status(thm)],[261]) ).

fof(281,plain,
    ! [X4,X17,X16] :
      ( ~ vtcheck(X16,X4,X17)
      | ? [X1] :
          ( equal(X4,vvar(X1))
          & equal(vlookup(X1,X16),vsomeType(X17)) )
      | ? [X1,X6,X31,X32] :
          ( equal(X4,vabs(X1,X31,X6))
          & equal(X17,varrow(X31,X32))
          & vtcheck(vbind(X1,X31,X16),X6,X32) )
      | ? [X5,X6,X3] :
          ( equal(X4,vapp(X5,X6))
          & vtcheck(X16,X5,varrow(X3,X17))
          & vtcheck(X16,X6,X3) ) ),
    inference(fof_nnf,[status(thm)],[47]) ).

fof(282,plain,
    ! [X33,X34,X35] :
      ( ~ vtcheck(X35,X33,X34)
      | ? [X36] :
          ( equal(X33,vvar(X36))
          & equal(vlookup(X36,X35),vsomeType(X34)) )
      | ? [X37,X38,X39,X40] :
          ( equal(X33,vabs(X37,X39,X38))
          & equal(X34,varrow(X39,X40))
          & vtcheck(vbind(X37,X39,X35),X38,X40) )
      | ? [X41,X42,X43] :
          ( equal(X33,vapp(X41,X42))
          & vtcheck(X35,X41,varrow(X43,X34))
          & vtcheck(X35,X42,X43) ) ),
    inference(variable_rename,[status(thm)],[281]) ).

fof(283,plain,
    ! [X33,X34,X35] :
      ( ~ vtcheck(X35,X33,X34)
      | ( equal(X33,vvar(esk19_3(X33,X34,X35)))
        & equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34)) )
      | ( equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
        & equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
        & vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35)) )
      | ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
        & vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
        & vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35)) ) ),
    inference(skolemize,[status(esa)],[282]) ).

fof(284,plain,
    ! [X33,X34,X35] :
      ( ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
        | equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
        | equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
        | equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
        | equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
        | equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
        | equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
        | vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
        | vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
        | vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
        | equal(X33,vvar(esk19_3(X33,X34,X35)))
        | ~ vtcheck(X35,X33,X34) )
      & ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
        | equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
        | equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
        | equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
        | equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
        | equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
        | equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
        | vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
        | vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) )
      & ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
        | vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
        | equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
        | ~ vtcheck(X35,X33,X34) ) ),
    inference(distribute,[status(thm)],[283]) ).

cnf(293,plain,
    ( vlookup(esk19_3(X2,X3,X1),X1) = vsomeType(X3)
    | X2 = vabs(esk20_3(X2,X3,X1),esk22_3(X2,X3,X1),esk21_3(X2,X3,X1))
    | X2 = vapp(esk24_3(X2,X3,X1),esk25_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[284]) ).

cnf(302,plain,
    ( X2 = vvar(esk19_3(X2,X3,X1))
    | X2 = vabs(esk20_3(X2,X3,X1),esk22_3(X2,X3,X1),esk21_3(X2,X3,X1))
    | X2 = vapp(esk24_3(X2,X3,X1),esk25_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[284]) ).

fof(313,negated_conjecture,
    ? [X1,X3,X16,X13,X17] :
      ( ~ visFreeVar(X1,vvar(X13))
      & vtcheck(X16,vvar(X13),X17)
      & ~ vtcheck(vbind(X1,X3,X16),vvar(X13),X17) ),
    inference(fof_nnf,[status(thm)],[62]) ).

fof(314,negated_conjecture,
    ? [X18,X19,X20,X21,X22] :
      ( ~ visFreeVar(X18,vvar(X21))
      & vtcheck(X20,vvar(X21),X22)
      & ~ vtcheck(vbind(X18,X19,X20),vvar(X21),X22) ),
    inference(variable_rename,[status(thm)],[313]) ).

fof(315,negated_conjecture,
    ( ~ visFreeVar(esk27_0,vvar(esk30_0))
    & vtcheck(esk29_0,vvar(esk30_0),esk31_0)
    & ~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vvar(esk30_0),esk31_0) ),
    inference(skolemize,[status(esa)],[314]) ).

cnf(316,negated_conjecture,
    ~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vvar(esk30_0),esk31_0),
    inference(split_conjunct,[status(thm)],[315]) ).

cnf(317,negated_conjecture,
    vtcheck(esk29_0,vvar(esk30_0),esk31_0),
    inference(split_conjunct,[status(thm)],[315]) ).

cnf(318,negated_conjecture,
    ~ visFreeVar(esk27_0,vvar(esk30_0)),
    inference(split_conjunct,[status(thm)],[315]) ).

cnf(439,plain,
    ( visFreeVar(X1,X2)
    | vvar(X3) != X2
    | X3 != X1 ),
    inference(er,[status(thm)],[93,theory(equality)]) ).

cnf(440,plain,
    ( visFreeVar(X1,X2)
    | vvar(X1) != X2 ),
    inference(er,[status(thm)],[439,theory(equality)]) ).

cnf(441,plain,
    ( X1 = X2
    | vvar(X1) != X3
    | ~ visFreeVar(X2,X3) ),
    inference(er,[status(thm)],[92,theory(equality)]) ).

cnf(454,plain,
    ( visFreeVar(X1,X2)
    | vapp(X3,X4) != X2
    | ~ visFreeVar(X1,X3) ),
    inference(er,[status(thm)],[99,theory(equality)]) ).

cnf(458,plain,
    ( vabs(X1,X2,X3) != X4
    | X1 != X5
    | ~ visFreeVar(X5,X4) ),
    inference(er,[status(thm)],[168,theory(equality)]) ).

cnf(459,plain,
    ( vabs(X1,X2,X3) != X4
    | ~ visFreeVar(X1,X4) ),
    inference(er,[status(thm)],[458,theory(equality)]) ).

cnf(462,plain,
    ( visFreeVar(X1,X2)
    | visFreeVar(X1,X3)
    | vapp(X2,X3) != X4
    | ~ visFreeVar(X1,X4) ),
    inference(er,[status(thm)],[97,theory(equality)]) ).

cnf(473,plain,
    ( X1 = X2
    | vsubst(X3,X4,X5) != X1
    | vvar(X6) != X5
    | X3 != X6
    | X2 != X4 ),
    inference(er,[status(thm)],[193,theory(equality)]) ).

cnf(474,plain,
    ( X1 = X2
    | vsubst(X3,X4,X5) != X1
    | vvar(X3) != X5
    | X2 != X4 ),
    inference(er,[status(thm)],[473,theory(equality)]) ).

cnf(475,plain,
    ( X1 = X2
    | vsubst(X3,X2,X4) != X1
    | vvar(X3) != X4 ),
    inference(er,[status(thm)],[474,theory(equality)]) ).

cnf(476,plain,
    ( vvar(X1) = X2
    | X1 = X3
    | vsubst(X4,X5,X6) != X2
    | vvar(X1) != X6
    | X4 != X3 ),
    inference(er,[status(thm)],[190,theory(equality)]) ).

cnf(477,plain,
    ( vvar(X1) = X2
    | X1 = X3
    | vsubst(X3,X4,X5) != X2
    | vvar(X1) != X5 ),
    inference(er,[status(thm)],[476,theory(equality)]) ).

cnf(488,plain,
    ( vlookup(X1,X2) = X3
    | X1 = X4
    | vbind(X4,X5,X2) != X6
    | vlookup(X1,X6) != X3 ),
    inference(er,[status(thm)],[129,theory(equality)]) ).

cnf(560,plain,
    ( vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)) = X5
    | vsubst(X6,X2,X7) != X5
    | vapp(X3,X4) != X7
    | X1 != X6 ),
    inference(er,[status(thm)],[187,theory(equality)]) ).

cnf(561,plain,
    ( vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)) = X5
    | vsubst(X1,X2,X6) != X5
    | vapp(X3,X4) != X6 ),
    inference(er,[status(thm)],[560,theory(equality)]) ).

cnf(1105,plain,
    ( vapp(esk24_3(X1,X2,X3),esk25_3(X1,X2,X3)) = X1
    | vvar(esk19_3(X1,X2,X3)) = X1
    | X1 != vvar(X4)
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[120,302,theory(equality)]) ).

cnf(1248,plain,
    ( vapp(esk24_3(X1,X2,X3),esk25_3(X1,X2,X3)) = X1
    | vlookup(esk19_3(X1,X2,X3),X3) = vsomeType(X2)
    | X1 != vvar(X4)
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[120,293,theory(equality)]) ).

cnf(1525,plain,
    ~ visFreeVar(X1,vabs(X1,X2,X3)),
    inference(er,[status(thm)],[459,theory(equality)]) ).

cnf(1569,negated_conjecture,
    vvar(esk27_0) != vvar(esk30_0),
    inference(spm,[status(thm)],[318,440,theory(equality)]) ).

cnf(1767,plain,
    ( vsubst(X1,X2,X3) = X2
    | vvar(X1) != X3 ),
    inference(er,[status(thm)],[475,theory(equality)]) ).

cnf(1781,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X2) ),
    inference(er,[status(thm)],[454,theory(equality)]) ).

cnf(1917,plain,
    ( visFreeVar(X1,X2)
    | visFreeVar(X1,X3)
    | ~ visFreeVar(X1,vapp(X3,X2)) ),
    inference(er,[status(thm)],[462,theory(equality)]) ).

cnf(2198,plain,
    ( vvar(X1) = vsubst(X2,X3,X4)
    | X1 = X2
    | vvar(X1) != X4 ),
    inference(er,[status(thm)],[477,theory(equality)]) ).

cnf(2204,plain,
    ( vvar(X1) = vsubst(X2,X3,vvar(X1))
    | X1 = X2 ),
    inference(er,[status(thm)],[2198,theory(equality)]) ).

cnf(2553,plain,
    ( vlookup(X1,X2) = X3
    | X1 = X4
    | vlookup(X1,vbind(X4,X5,X2)) != X3 ),
    inference(er,[status(thm)],[488,theory(equality)]) ).

cnf(3089,plain,
    ( vlookup(X1,X2) = vlookup(X1,vbind(X3,X4,X2))
    | X1 = X3 ),
    inference(er,[status(thm)],[2553,theory(equality)]) ).

cnf(3116,plain,
    ( vtcheck(vbind(X1,X2,X3),vvar(X4),X5)
    | X4 = X1
    | vlookup(X4,X3) != vsomeType(X5) ),
    inference(spm,[status(thm)],[262,3089,theory(equality)]) ).

cnf(3231,negated_conjecture,
    ( esk30_0 = esk27_0
    | vlookup(esk30_0,esk29_0) != vsomeType(esk31_0) ),
    inference(spm,[status(thm)],[316,3116,theory(equality)]) ).

cnf(5764,plain,
    ( vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)) = vsubst(X1,X2,X5)
    | vapp(X3,X4) != X5 ),
    inference(er,[status(thm)],[561,theory(equality)]) ).

cnf(9631,plain,
    vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)) = vsubst(X1,X2,vapp(X3,X4)),
    inference(er,[status(thm)],[5764,theory(equality)]) ).

cnf(9739,plain,
    ( visFreeVar(X1,vsubst(X2,X3,vapp(X4,X5)))
    | ~ visFreeVar(X1,vsubst(X2,X3,X4)) ),
    inference(spm,[status(thm)],[1781,9631,theory(equality)]) ).

cnf(9740,plain,
    ( vapp(X2,vsubst(X1,X2,X4)) = vsubst(X1,X2,vapp(X3,X4))
    | vvar(X1) != X3 ),
    inference(spm,[status(thm)],[9631,1767,theory(equality)]) ).

cnf(9744,plain,
    ( vapp(vvar(X3),vsubst(X1,X2,X4)) = vsubst(X1,X2,vapp(vvar(X3),X4))
    | X3 = X1 ),
    inference(spm,[status(thm)],[9631,2204,theory(equality)]) ).

cnf(9745,plain,
    ( vapp(vsubst(X1,X2,X3),vvar(X4)) = vsubst(X1,X2,vapp(X3,vvar(X4)))
    | X4 = X1 ),
    inference(spm,[status(thm)],[9631,2204,theory(equality)]) ).

cnf(10435,plain,
    ( visFreeVar(X1,vapp(vvar(X4),vsubst(X2,X3,X5)))
    | X4 = X2
    | ~ visFreeVar(X1,vsubst(X2,X3,vvar(X4))) ),
    inference(spm,[status(thm)],[9739,9744,theory(equality)]) ).

cnf(10498,plain,
    ( X1 = X2
    | visFreeVar(X3,vapp(vvar(X1),X4))
    | ~ visFreeVar(X3,vsubst(X2,X4,vvar(X1)))
    | vvar(X2) != X5 ),
    inference(spm,[status(thm)],[10435,1767,theory(equality)]) ).

cnf(10552,plain,
    ( X1 = X2
    | visFreeVar(X3,vapp(vvar(X1),X4))
    | vvar(X2) != X5
    | vvar(X3) != vsubst(X2,X4,vvar(X1)) ),
    inference(spm,[status(thm)],[10498,440,theory(equality)]) ).

cnf(11464,plain,
    ( X1 = X2
    | visFreeVar(X3,vapp(vvar(X1),X4))
    | vvar(X3) != vvar(X1)
    | vvar(X2) != X5 ),
    inference(spm,[status(thm)],[10552,2204,theory(equality)]) ).

cnf(11465,plain,
    ( X1 = X2
    | visFreeVar(X3,vapp(vvar(X1),X4))
    | vvar(X3) != vvar(X1) ),
    inference(er,[status(thm)],[11464,theory(equality)]) ).

cnf(11466,plain,
    ( X1 = X2
    | visFreeVar(X1,vapp(vvar(X1),X3)) ),
    inference(er,[status(thm)],[11465,theory(equality)]) ).

cnf(11559,plain,
    ( visFreeVar(X2,vapp(vvar(X2),X3))
    | X2 != vnoType ),
    inference(spm,[status(thm)],[112,11466,theory(equality)]) ).

cnf(16137,plain,
    visFreeVar(X2,vapp(vvar(X2),X3)),
    inference(csr,[status(thm)],[11559,11466]) ).

cnf(16139,plain,
    ( visFreeVar(X1,vvar(X1))
    | visFreeVar(X1,X2) ),
    inference(spm,[status(thm)],[1917,16137,theory(equality)]) ).

cnf(16141,plain,
    visFreeVar(X3,vvar(X3)),
    inference(ef,[status(thm)],[16139,theory(equality)]) ).

cnf(19423,plain,
    ( visFreeVar(X1,vsubst(X2,vvar(X1),vapp(X4,X3)))
    | vvar(X2) != X4 ),
    inference(spm,[status(thm)],[16137,9740,theory(equality)]) ).

cnf(19629,plain,
    ( visFreeVar(X1,vapp(vsubst(X2,vvar(X1),X3),vvar(X4)))
    | X4 = X2
    | vvar(X2) != X3 ),
    inference(spm,[status(thm)],[19423,9745,theory(equality)]) ).

cnf(19718,plain,
    ( visFreeVar(X1,vsubst(X2,vvar(X1),X3))
    | visFreeVar(X1,vvar(X4))
    | X4 = X2
    | vvar(X2) != X3 ),
    inference(spm,[status(thm)],[1917,19629,theory(equality)]) ).

cnf(19724,plain,
    ( X1 = X2
    | visFreeVar(X3,vsubst(X2,vvar(X3),vvar(X2)))
    | visFreeVar(X3,vvar(X1)) ),
    inference(er,[status(thm)],[19718,theory(equality)]) ).

cnf(20986,plain,
    ( X1 = X2
    | X3 = X4
    | visFreeVar(X2,vsubst(X4,vvar(X2),vvar(X4)))
    | vvar(X1) != vvar(X3) ),
    inference(spm,[status(thm)],[441,19724,theory(equality)]) ).

cnf(22762,plain,
    ( X1 = X2
    | X1 = X3
    | visFreeVar(X3,vsubst(X2,vvar(X3),vvar(X2))) ),
    inference(er,[status(thm)],[20986,theory(equality)]) ).

cnf(22920,plain,
    ( visFreeVar(X1,X3)
    | vapp(vvar(X1),X2) = X4
    | visFreeVar(X3,vsubst(X4,vvar(X3),vvar(X4))) ),
    inference(spm,[status(thm)],[16137,22762,theory(equality)]) ).

cnf(22924,plain,
    ( visFreeVar(X1,X4)
    | vapp(vvar(X1),X2) = X3
    | visFreeVar(X3,vsubst(X4,vvar(X3),vvar(X4))) ),
    inference(spm,[status(thm)],[16137,22762,theory(equality)]) ).

cnf(22927,plain,
    ( visFreeVar(X1,X2)
    | vvar(X1) = X3
    | visFreeVar(X2,vsubst(X3,vvar(X2),vvar(X3))) ),
    inference(spm,[status(thm)],[16141,22762,theory(equality)]) ).

cnf(22929,plain,
    ( visFreeVar(X1,X3)
    | vvar(X1) = X2
    | visFreeVar(X2,vsubst(X3,vvar(X2),vvar(X3))) ),
    inference(spm,[status(thm)],[16141,22762,theory(equality)]) ).

cnf(23041,plain,
    ( vabs(X1,X2,X3) = X5
    | visFreeVar(X4,vsubst(X5,vvar(X4),vvar(X5)))
    | ~ visFreeVar(X1,X4) ),
    inference(spm,[status(thm)],[1525,22762,theory(equality)]) ).

cnf(34935,plain,
    ( visFreeVar(X5,vsubst(X4,vvar(X5),vvar(X4)))
    | visFreeVar(X3,X5)
    | vapp(X1,X2) != X4 ),
    inference(spm,[status(thm)],[110,22927,theory(equality)]) ).

cnf(36927,plain,
    ( visFreeVar(X4,vsubst(X5,vvar(X4),vvar(X5)))
    | visFreeVar(X3,X5)
    | vapp(X1,X2) != X4 ),
    inference(spm,[status(thm)],[110,22929,theory(equality)]) ).

cnf(318821,plain,
    ( visFreeVar(X3,vsubst(X4,vvar(X3),vvar(X4)))
    | visFreeVar(X1,X3) ),
    inference(csr,[status(thm)],[22920,34935]) ).

cnf(325347,plain,
    ( visFreeVar(X3,vsubst(X4,vvar(X3),vvar(X4)))
    | visFreeVar(X1,X4) ),
    inference(csr,[status(thm)],[22924,36927]) ).

cnf(368396,plain,
    ( vabs(X1,X2,X3) = X5
    | visFreeVar(X4,vsubst(X5,vvar(X4),vvar(X5))) ),
    inference(csr,[status(thm)],[23041,318821]) ).

cnf(368518,plain,
    ( visFreeVar(X5,vsubst(X4,vvar(X5),vvar(X4)))
    | ~ visFreeVar(X1,X4) ),
    inference(spm,[status(thm)],[1525,368396,theory(equality)]) ).

cnf(371430,plain,
    visFreeVar(X5,vsubst(X4,vvar(X5),vvar(X4))),
    inference(csr,[status(thm)],[368518,325347]) ).

cnf(931550,plain,
    ( vapp(esk24_3(vvar(X1),X2,X3),esk25_3(vvar(X1),X2,X3)) = vvar(X1)
    | vvar(esk19_3(vvar(X1),X2,X3)) = vvar(X1)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(er,[status(thm)],[1105,theory(equality)]) ).

cnf(931632,plain,
    ( vvar(esk19_3(vvar(X1),X2,X3)) = vvar(X1)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(sr,[status(thm)],[931550,110,theory(equality)]) ).

cnf(931759,plain,
    ( vsubst(X1,X2,vvar(X3)) = vvar(X3)
    | esk19_3(vvar(X3),X4,X5) = X1
    | ~ vtcheck(X5,vvar(X3),X4) ),
    inference(spm,[status(thm)],[2204,931632,theory(equality)]) ).

cnf(942577,negated_conjecture,
    ( vsubst(X1,X2,vvar(esk30_0)) = vvar(esk30_0)
    | esk19_3(vvar(esk30_0),esk31_0,esk29_0) = X1 ),
    inference(spm,[status(thm)],[931759,317,theory(equality)]) ).

cnf(942762,negated_conjecture,
    ( visFreeVar(X1,vvar(esk30_0))
    | esk19_3(vvar(esk30_0),esk31_0,esk29_0) = esk30_0 ),
    inference(spm,[status(thm)],[371430,942577,theory(equality)]) ).

cnf(943238,negated_conjecture,
    esk19_3(vvar(esk30_0),esk31_0,esk29_0) = esk30_0,
    inference(spm,[status(thm)],[318,942762,theory(equality)]) ).

cnf(1151762,plain,
    ( vapp(esk24_3(vvar(X1),X2,X3),esk25_3(vvar(X1),X2,X3)) = vvar(X1)
    | vlookup(esk19_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(er,[status(thm)],[1248,theory(equality)]) ).

cnf(1151882,plain,
    ( vlookup(esk19_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(sr,[status(thm)],[1151762,110,theory(equality)]) ).

cnf(1151977,negated_conjecture,
    ( vlookup(esk30_0,esk29_0) = vsomeType(esk31_0)
    | ~ vtcheck(esk29_0,vvar(esk30_0),esk31_0) ),
    inference(spm,[status(thm)],[1151882,943238,theory(equality)]) ).

cnf(1152223,negated_conjecture,
    ( vlookup(esk30_0,esk29_0) = vsomeType(esk31_0)
    | $false ),
    inference(rw,[status(thm)],[1151977,317,theory(equality)]) ).

cnf(1152224,negated_conjecture,
    vlookup(esk30_0,esk29_0) = vsomeType(esk31_0),
    inference(cn,[status(thm)],[1152223,theory(equality)]) ).

cnf(1152292,negated_conjecture,
    ( esk27_0 = esk30_0
    | $false ),
    inference(rw,[status(thm)],[3231,1152224,theory(equality)]) ).

cnf(1152293,negated_conjecture,
    esk27_0 = esk30_0,
    inference(cn,[status(thm)],[1152292,theory(equality)]) ).

cnf(1152312,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[1569,1152293,theory(equality)]) ).

cnf(1152313,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[1152312,theory(equality)]) ).

cnf(1152314,negated_conjecture,
    $false,
    1152313,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM127+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.22  % Computer : n024.star.cs.uiowa.edu
% 0.02/0.22  % Model    : x86_64 x86_64
% 0.02/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22  % Memory   : 16091.75MB
% 0.02/0.22  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.22  % CPULimit : 300
% 0.02/0.22  % DateTime : Fri Mar 25 11:45:48 CDT 2016
% 0.02/0.22  % CPUTime  : 
% 0.08/0.64  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.64  --creating new selector for [COM001+0.ax]
% 29.08/29.76  eprover: CPU time limit exceeded, terminating
% 109.27/115.04  eprover: CPU time limit exceeded, terminating
% 109.46/116.69  -running prover on /export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_1 with time limit 29
% 109.46/116.69  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_1']
% 109.46/116.69  -prover status ResourceOut
% 109.46/116.69  -running prover on /export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_2 with time limit 80
% 109.46/116.69  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=80', '/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_2']
% 109.46/116.69  -prover status ResourceOut
% 109.46/116.69  --creating new selector for [COM001+0.ax]
% 182.44/191.49  eprover: CPU time limit exceeded, terminating
% 182.68/192.66  -running prover on /export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_3 with time limit 73
% 182.68/192.66  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=73', '/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_3']
% 182.68/192.66  -prover status ResourceOut
% 182.68/192.66  --creating new selector for [COM001+0.ax]
% 213.75/224.17  -running prover on /export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4 with time limit 53
% 213.75/224.17  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=53', '/export/starexec/sandbox/tmp/tmpGDYZkA/sel_theBenchmark.p_4']
% 213.75/224.17  -prover status Theorem
% 213.75/224.17  Problem theBenchmark.p solved in phase 3.
% 213.75/224.17  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 213.75/224.17  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 213.75/224.17  Solved 1 out of 1.
% 213.75/224.17  # Problem is unsatisfiable (or provable), constructing proof object
% 213.75/224.17  # SZS status Theorem
% 213.75/224.17  # SZS output start CNFRefutation.
% See solution above
% 213.75/224.19  # SZS output end CNFRefutation
%------------------------------------------------------------------------------