TSTP Solution File: SYN036+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN036+2 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 13:09:17 EST 2010

% Result   : Theorem 9.05s
% Output   : CNFRefutation 9.05s
% Verified : 
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax   : Number of formulae    : 779

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ( ( ? [X1] :
        ! [X2] :
          ( big_p(X1)
        <=> big_p(X2) )
    <=> ( ? [X3] : big_q(X3)
      <=> ! [X4] : big_p(X4) ) )
  <=> ( ? [X5] :
        ! [X6] :
          ( big_q(X5)
        <=> big_q(X6) )
    <=> ( ? [X7] : big_p(X7)
      <=> ! [X8] : big_q(X8) ) ) ),
    file('/tmp/tmpJM-y1w/sel_SYN036+2.p_1',pel34) ).

fof(2,negated_conjecture,
    ~ ( ( ? [X1] :
          ! [X2] :
            ( big_p(X1)
          <=> big_p(X2) )
      <=> ( ? [X3] : big_q(X3)
        <=> ! [X4] : big_p(X4) ) )
    <=> ( ? [X5] :
          ! [X6] :
            ( big_q(X5)
          <=> big_q(X6) )
      <=> ( ? [X7] : big_p(X7)
        <=> ! [X8] : big_q(X8) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ( ( ( ( ! [X1] :
            ? [X2] :
              ( ( ~ big_p(X1)
                | ~ big_p(X2) )
              & ( big_p(X1)
                | big_p(X2) ) )
          | ( ( ! [X3] : ~ big_q(X3)
              | ? [X4] : ~ big_p(X4) )
            & ( ? [X3] : big_q(X3)
              | ! [X4] : big_p(X4) ) ) )
        & ( ? [X1] :
            ! [X2] :
              ( ( ~ big_p(X1)
                | big_p(X2) )
              & ( ~ big_p(X2)
                | big_p(X1) ) )
          | ( ( ! [X3] : ~ big_q(X3)
              | ! [X4] : big_p(X4) )
            & ( ? [X4] : ~ big_p(X4)
              | ? [X3] : big_q(X3) ) ) ) )
      | ( ( ! [X5] :
            ? [X6] :
              ( ( ~ big_q(X5)
                | ~ big_q(X6) )
              & ( big_q(X5)
                | big_q(X6) ) )
          | ( ( ! [X7] : ~ big_p(X7)
              | ? [X8] : ~ big_q(X8) )
            & ( ? [X7] : big_p(X7)
              | ! [X8] : big_q(X8) ) ) )
        & ( ? [X5] :
            ! [X6] :
              ( ( ~ big_q(X5)
                | big_q(X6) )
              & ( ~ big_q(X6)
                | big_q(X5) ) )
          | ( ( ! [X7] : ~ big_p(X7)
              | ! [X8] : big_q(X8) )
            & ( ? [X8] : ~ big_q(X8)
              | ? [X7] : big_p(X7) ) ) ) ) )
    & ( ( ( ! [X1] :
            ? [X2] :
              ( ( ~ big_p(X1)
                | ~ big_p(X2) )
              & ( big_p(X1)
                | big_p(X2) ) )
          | ( ( ! [X3] : ~ big_q(X3)
              | ! [X4] : big_p(X4) )
            & ( ? [X4] : ~ big_p(X4)
              | ? [X3] : big_q(X3) ) ) )
        & ( ( ( ! [X3] : ~ big_q(X3)
              | ? [X4] : ~ big_p(X4) )
            & ( ? [X3] : big_q(X3)
              | ! [X4] : big_p(X4) ) )
          | ? [X1] :
            ! [X2] :
              ( ( ~ big_p(X1)
                | big_p(X2) )
              & ( ~ big_p(X2)
                | big_p(X1) ) ) ) )
      | ( ( ! [X5] :
            ? [X6] :
              ( ( ~ big_q(X5)
                | ~ big_q(X6) )
              & ( big_q(X5)
                | big_q(X6) ) )
          | ( ( ! [X7] : ~ big_p(X7)
              | ! [X8] : big_q(X8) )
            & ( ? [X8] : ~ big_q(X8)
              | ? [X7] : big_p(X7) ) ) )
        & ( ( ( ! [X7] : ~ big_p(X7)
              | ? [X8] : ~ big_q(X8) )
            & ( ? [X7] : big_p(X7)
              | ! [X8] : big_q(X8) ) )
          | ? [X5] :
            ! [X6] :
              ( ( ~ big_q(X5)
                | big_q(X6) )
              & ( ~ big_q(X6)
                | big_q(X5) ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(4,negated_conjecture,
    ( ( ( ( ! [X9] :
            ? [X10] :
              ( ( ~ big_p(X9)
                | ~ big_p(X10) )
              & ( big_p(X9)
                | big_p(X10) ) )
          | ( ( ! [X11] : ~ big_q(X11)
              | ? [X12] : ~ big_p(X12) )
            & ( ? [X13] : big_q(X13)
              | ! [X14] : big_p(X14) ) ) )
        & ( ? [X15] :
            ! [X16] :
              ( ( ~ big_p(X15)
                | big_p(X16) )
              & ( ~ big_p(X16)
                | big_p(X15) ) )
          | ( ( ! [X17] : ~ big_q(X17)
              | ! [X18] : big_p(X18) )
            & ( ? [X19] : ~ big_p(X19)
              | ? [X20] : big_q(X20) ) ) ) )
      | ( ( ! [X21] :
            ? [X22] :
              ( ( ~ big_q(X21)
                | ~ big_q(X22) )
              & ( big_q(X21)
                | big_q(X22) ) )
          | ( ( ! [X23] : ~ big_p(X23)
              | ? [X24] : ~ big_q(X24) )
            & ( ? [X25] : big_p(X25)
              | ! [X26] : big_q(X26) ) ) )
        & ( ? [X27] :
            ! [X28] :
              ( ( ~ big_q(X27)
                | big_q(X28) )
              & ( ~ big_q(X28)
                | big_q(X27) ) )
          | ( ( ! [X29] : ~ big_p(X29)
              | ! [X30] : big_q(X30) )
            & ( ? [X31] : ~ big_q(X31)
              | ? [X32] : big_p(X32) ) ) ) ) )
    & ( ( ( ! [X33] :
            ? [X34] :
              ( ( ~ big_p(X33)
                | ~ big_p(X34) )
              & ( big_p(X33)
                | big_p(X34) ) )
          | ( ( ! [X35] : ~ big_q(X35)
              | ! [X36] : big_p(X36) )
            & ( ? [X37] : ~ big_p(X37)
              | ? [X38] : big_q(X38) ) ) )
        & ( ( ( ! [X39] : ~ big_q(X39)
              | ? [X40] : ~ big_p(X40) )
            & ( ? [X41] : big_q(X41)
              | ! [X42] : big_p(X42) ) )
          | ? [X43] :
            ! [X44] :
              ( ( ~ big_p(X43)
                | big_p(X44) )
              & ( ~ big_p(X44)
                | big_p(X43) ) ) ) )
      | ( ( ! [X45] :
            ? [X46] :
              ( ( ~ big_q(X45)
                | ~ big_q(X46) )
              & ( big_q(X45)
                | big_q(X46) ) )
          | ( ( ! [X47] : ~ big_p(X47)
              | ! [X48] : big_q(X48) )
            & ( ? [X49] : ~ big_q(X49)
              | ? [X50] : big_p(X50) ) ) )
        & ( ( ( ! [X51] : ~ big_p(X51)
              | ? [X52] : ~ big_q(X52) )
            & ( ? [X53] : big_p(X53)
              | ! [X54] : big_q(X54) ) )
          | ? [X55] :
            ! [X56] :
              ( ( ~ big_q(X55)
                | big_q(X56) )
              & ( ~ big_q(X56)
                | big_q(X55) ) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ( ( ! [X9] :
              ( ( ~ big_p(X9)
                | ~ big_p(esk1_1(X9)) )
              & ( big_p(X9)
                | big_p(esk1_1(X9)) ) )
          | ( ( ! [X11] : ~ big_q(X11)
              | ~ big_p(esk2_0) )
            & ( big_q(esk3_0)
              | ! [X14] : big_p(X14) ) ) )
        & ( ! [X16] :
              ( ( ~ big_p(esk4_0)
                | big_p(X16) )
              & ( ~ big_p(X16)
                | big_p(esk4_0) ) )
          | ( ( ! [X17] : ~ big_q(X17)
              | ! [X18] : big_p(X18) )
            & ( ~ big_p(esk5_0)
              | big_q(esk6_0) ) ) ) )
      | ( ( ! [X21] :
              ( ( ~ big_q(X21)
                | ~ big_q(esk7_1(X21)) )
              & ( big_q(X21)
                | big_q(esk7_1(X21)) ) )
          | ( ( ! [X23] : ~ big_p(X23)
              | ~ big_q(esk8_0) )
            & ( big_p(esk9_0)
              | ! [X26] : big_q(X26) ) ) )
        & ( ! [X28] :
              ( ( ~ big_q(esk10_0)
                | big_q(X28) )
              & ( ~ big_q(X28)
                | big_q(esk10_0) ) )
          | ( ( ! [X29] : ~ big_p(X29)
              | ! [X30] : big_q(X30) )
            & ( ~ big_q(esk11_0)
              | big_p(esk12_0) ) ) ) ) )
    & ( ( ( ! [X33] :
              ( ( ~ big_p(X33)
                | ~ big_p(esk13_1(X33)) )
              & ( big_p(X33)
                | big_p(esk13_1(X33)) ) )
          | ( ( ! [X35] : ~ big_q(X35)
              | ! [X36] : big_p(X36) )
            & ( ~ big_p(esk14_0)
              | big_q(esk15_0) ) ) )
        & ( ( ( ! [X39] : ~ big_q(X39)
              | ~ big_p(esk16_0) )
            & ( big_q(esk17_0)
              | ! [X42] : big_p(X42) ) )
          | ! [X44] :
              ( ( ~ big_p(esk18_0)
                | big_p(X44) )
              & ( ~ big_p(X44)
                | big_p(esk18_0) ) ) ) )
      | ( ( ! [X45] :
              ( ( ~ big_q(X45)
                | ~ big_q(esk19_1(X45)) )
              & ( big_q(X45)
                | big_q(esk19_1(X45)) ) )
          | ( ( ! [X47] : ~ big_p(X47)
              | ! [X48] : big_q(X48) )
            & ( ~ big_q(esk20_0)
              | big_p(esk21_0) ) ) )
        & ( ( ( ! [X51] : ~ big_p(X51)
              | ~ big_q(esk22_0) )
            & ( big_p(esk23_0)
              | ! [X54] : big_q(X54) ) )
          | ! [X56] :
              ( ( ~ big_q(esk24_0)
                | big_q(X56) )
              & ( ~ big_q(X56)
                | big_q(esk24_0) ) ) ) ) ) ),
    inference(skolemize,[status(esa)],[4]) ).

fof(6,negated_conjecture,
    ! [X9,X11,X14,X16,X17,X18,X21,X23,X26,X28,X29,X30,X33,X35,X36,X39,X42,X44,X45,X47,X48,X51,X54,X56] :
      ( ( ( ( ( ( ~ big_q(esk24_0)
                | big_q(X56) )
              & ( ~ big_q(X56)
                | big_q(esk24_0) ) )
            | ( ( big_q(X54)
                | big_p(esk23_0) )
              & ( ~ big_p(X51)
                | ~ big_q(esk22_0) ) ) )
          & ( ( ( big_q(X48)
                | ~ big_p(X47) )
              & ( ~ big_q(esk20_0)
                | big_p(esk21_0) ) )
            | ( ( ~ big_q(X45)
                | ~ big_q(esk19_1(X45)) )
              & ( big_q(X45)
                | big_q(esk19_1(X45)) ) ) ) )
        | ( ( ( ( ~ big_p(esk18_0)
                | big_p(X44) )
              & ( ~ big_p(X44)
                | big_p(esk18_0) ) )
            | ( ( big_p(X42)
                | big_q(esk17_0) )
              & ( ~ big_q(X39)
                | ~ big_p(esk16_0) ) ) )
          & ( ( ( big_p(X36)
                | ~ big_q(X35) )
              & ( ~ big_p(esk14_0)
                | big_q(esk15_0) ) )
            | ( ( ~ big_p(X33)
                | ~ big_p(esk13_1(X33)) )
              & ( big_p(X33)
                | big_p(esk13_1(X33)) ) ) ) ) )
      & ( ( ( ( ( big_q(X30)
                | ~ big_p(X29) )
              & ( ~ big_q(esk11_0)
                | big_p(esk12_0) ) )
            | ( ( ~ big_q(esk10_0)
                | big_q(X28) )
              & ( ~ big_q(X28)
                | big_q(esk10_0) ) ) )
          & ( ( ( big_q(X26)
                | big_p(esk9_0) )
              & ( ~ big_p(X23)
                | ~ big_q(esk8_0) ) )
            | ( ( ~ big_q(X21)
                | ~ big_q(esk7_1(X21)) )
              & ( big_q(X21)
                | big_q(esk7_1(X21)) ) ) ) )
        | ( ( ( ( big_p(X18)
                | ~ big_q(X17) )
              & ( ~ big_p(esk5_0)
                | big_q(esk6_0) ) )
            | ( ( ~ big_p(esk4_0)
                | big_p(X16) )
              & ( ~ big_p(X16)
                | big_p(esk4_0) ) ) )
          & ( ( ( big_p(X14)
                | big_q(esk3_0) )
              & ( ~ big_q(X11)
                | ~ big_p(esk2_0) ) )
            | ( ( ~ big_p(X9)
                | ~ big_p(esk1_1(X9)) )
              & ( big_p(X9)
                | big_p(esk1_1(X9)) ) ) ) ) ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [X9,X11,X14,X16,X17,X18,X21,X23,X26,X28,X29,X30,X33,X35,X36,X39,X42,X44,X45,X47,X48,X51,X54,X56] :
      ( ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(esk24_0)
        | big_q(X56) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X54)
        | big_p(esk23_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_p(X51)
        | ~ big_q(esk22_0)
        | ~ big_q(X56)
        | big_q(esk24_0) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | big_q(X48)
        | ~ big_p(X47) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | ~ big_q(X45)
        | ~ big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(esk18_0)
        | big_p(X44)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( big_p(X42)
        | big_q(esk17_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_q(X39)
        | ~ big_p(esk16_0)
        | ~ big_p(X44)
        | big_p(esk18_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | big_p(X36)
        | ~ big_q(X35)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_p(X33)
        | ~ big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( big_p(X33)
        | big_p(esk13_1(X33))
        | ~ big_p(esk14_0)
        | big_q(esk15_0)
        | big_q(X45)
        | big_q(esk19_1(X45))
        | ~ big_q(esk20_0)
        | big_p(esk21_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | big_q(X30)
        | ~ big_p(X29) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(esk10_0)
        | big_q(X28)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X28)
        | big_q(esk10_0)
        | ~ big_q(esk11_0)
        | big_p(esk12_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | big_q(X26)
        | big_p(esk9_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | ~ big_q(X21)
        | ~ big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | big_p(X18)
        | ~ big_q(X17)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | big_p(X18)
        | ~ big_q(X17)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(esk4_0)
        | big_p(X16)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X16)
        | big_p(esk4_0)
        | ~ big_p(esk5_0)
        | big_q(esk6_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | big_p(X14)
        | big_q(esk3_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( ~ big_p(X9)
        | ~ big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) )
      & ( big_p(X9)
        | big_p(esk1_1(X9))
        | ~ big_q(X11)
        | ~ big_p(esk2_0)
        | big_q(X21)
        | big_q(esk7_1(X21))
        | ~ big_p(X23)
        | ~ big_q(esk8_0) ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(17,negated_conjecture,
    ( ~ big_q(esk8_0)
    | ~ big_p(X1)
    | ~ big_q(esk7_1(X2))
    | ~ big_q(X2)
    | ~ big_p(esk2_0)
    | ~ big_q(X3)
    | ~ big_p(esk1_1(X4))
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( big_p(X4)
    | big_p(esk4_0)
    | ~ big_q(esk8_0)
    | ~ big_p(X1)
    | ~ big_q(esk7_1(X2))
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(X5) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(23,negated_conjecture,
    ( big_p(X4)
    | big_p(X5)
    | ~ big_q(esk8_0)
    | ~ big_p(X1)
    | ~ big_q(esk7_1(X2))
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk4_0) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( big_p(esk9_0)
    | big_q(X1)
    | big_q(esk7_1(X2))
    | big_q(X2)
    | big_q(esk3_0)
    | big_p(X3)
    | big_p(esk1_1(X4))
    | big_p(X4) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(40,negated_conjecture,
    ( big_p(esk12_0)
    | big_q(esk10_0)
    | big_p(esk1_1(X3))
    | big_p(X3)
    | ~ big_q(esk11_0)
    | ~ big_q(X1)
    | ~ big_p(esk2_0)
    | ~ big_q(X2) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( big_p(esk12_0)
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_p(X2)
    | big_p(esk1_1(X3))
    | big_p(X3)
    | ~ big_q(esk11_0)
    | ~ big_q(X1) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(48,negated_conjecture,
    ( big_p(esk12_0)
    | big_q(X1)
    | big_p(esk1_1(X3))
    | big_p(X3)
    | ~ big_q(esk11_0)
    | ~ big_q(esk10_0)
    | ~ big_p(esk2_0)
    | ~ big_q(X2) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( big_p(esk12_0)
    | big_q(X1)
    | big_q(esk3_0)
    | big_p(X2)
    | big_p(esk1_1(X3))
    | big_p(X3)
    | ~ big_q(esk11_0)
    | ~ big_q(esk10_0) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(57,negated_conjecture,
    ( big_q(X2)
    | big_q(esk10_0)
    | ~ big_p(X1)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_q(X4)
    | ~ big_p(esk1_1(X5))
    | ~ big_p(X5) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( big_q(X2)
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_p(X4)
    | big_p(esk1_1(X5))
    | big_p(X5)
    | ~ big_p(X1)
    | ~ big_q(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( big_q(X2)
    | big_q(esk10_0)
    | big_p(X5)
    | big_p(esk4_0)
    | ~ big_p(X1)
    | ~ big_q(X3)
    | ~ big_q(X4)
    | ~ big_p(X6) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(63,negated_conjecture,
    ( big_q(X2)
    | big_q(esk10_0)
    | big_p(X5)
    | big_p(X6)
    | ~ big_p(X1)
    | ~ big_q(X3)
    | ~ big_q(X4)
    | ~ big_p(esk4_0) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(65,negated_conjecture,
    ( big_q(X2)
    | big_q(X3)
    | ~ big_p(X1)
    | ~ big_q(esk10_0)
    | ~ big_p(esk2_0)
    | ~ big_q(X4)
    | ~ big_p(esk1_1(X5))
    | ~ big_p(X5) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( big_q(X2)
    | big_q(X3)
    | big_p(X5)
    | big_p(esk4_0)
    | ~ big_p(X1)
    | ~ big_q(esk10_0)
    | ~ big_q(X4)
    | ~ big_p(X6) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(71,negated_conjecture,
    ( big_q(X2)
    | big_q(X3)
    | big_p(X5)
    | big_p(X6)
    | ~ big_p(X1)
    | ~ big_q(esk10_0)
    | ~ big_q(X4)
    | ~ big_p(esk4_0) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( big_p(esk21_0)
    | big_p(X3)
    | big_p(esk13_1(X4))
    | big_p(X4)
    | ~ big_q(esk20_0)
    | ~ big_q(esk19_1(X1))
    | ~ big_q(X1)
    | ~ big_q(X2) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(89,negated_conjecture,
    ( big_q(X2)
    | big_q(esk19_1(X3))
    | big_q(X3)
    | big_q(esk15_0)
    | ~ big_p(X1)
    | ~ big_p(esk14_0)
    | ~ big_p(esk13_1(X4))
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(92,negated_conjecture,
    ( big_q(X2)
    | big_q(esk19_1(X3))
    | big_q(X3)
    | big_p(esk18_0)
    | ~ big_p(X1)
    | ~ big_p(X4)
    | ~ big_p(esk16_0)
    | ~ big_q(X5) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(93,negated_conjecture,
    ( big_q(X2)
    | big_q(esk19_1(X3))
    | big_q(X3)
    | big_p(esk18_0)
    | big_q(esk17_0)
    | big_p(X5)
    | ~ big_p(X1)
    | ~ big_p(X4) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(95,negated_conjecture,
    ( big_q(X2)
    | big_q(esk19_1(X3))
    | big_q(X3)
    | big_p(X4)
    | big_q(esk17_0)
    | big_p(X5)
    | ~ big_p(X1)
    | ~ big_p(esk18_0) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(105,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | ~ big_q(X1)
    | ~ big_q(esk22_0)
    | ~ big_p(X2)
    | ~ big_p(esk14_0)
    | ~ big_p(esk13_1(X3))
    | ~ big_p(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(X4)
    | big_p(esk13_1(X5))
    | big_p(X5)
    | ~ big_q(X1)
    | ~ big_q(esk22_0)
    | ~ big_p(X2)
    | ~ big_q(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(109,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk18_0)
    | big_q(esk17_0)
    | big_p(X4)
    | ~ big_q(X1)
    | ~ big_q(esk22_0)
    | ~ big_p(X2)
    | ~ big_p(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(113,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk23_0)
    | big_q(X2)
    | big_q(esk15_0)
    | ~ big_q(X1)
    | ~ big_p(esk14_0)
    | ~ big_p(esk13_1(X3))
    | ~ big_p(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk23_0)
    | big_q(X2)
    | big_p(X4)
    | big_p(esk13_1(X5))
    | big_p(X5)
    | ~ big_q(X1)
    | ~ big_q(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(116,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk23_0)
    | big_q(X2)
    | big_p(esk18_0)
    | ~ big_q(X1)
    | ~ big_p(X3)
    | ~ big_p(esk16_0)
    | ~ big_q(X4) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(117,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk23_0)
    | big_q(X2)
    | big_p(esk18_0)
    | big_q(esk17_0)
    | big_p(X4)
    | ~ big_q(X1)
    | ~ big_p(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( big_q(X1)
    | big_p(esk23_0)
    | big_q(X2)
    | big_q(esk15_0)
    | ~ big_q(esk24_0)
    | ~ big_p(esk14_0)
    | ~ big_p(esk13_1(X3))
    | ~ big_p(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(130,negated_conjecture,
    ( big_q(X1)
    | big_p(esk23_0)
    | big_q(X2)
    | big_p(X4)
    | big_p(esk13_1(X5))
    | big_p(X5)
    | ~ big_q(esk24_0)
    | ~ big_q(X3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( big_q(X1)
    | big_p(esk23_0)
    | big_q(X2)
    | big_p(esk18_0)
    | ~ big_q(esk24_0)
    | ~ big_p(X3)
    | ~ big_p(esk16_0)
    | ~ big_q(X4) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(136,negated_conjecture,
    ( big_q(esk3_0)
    | big_q(esk7_1(X5))
    | big_q(X5)
    | big_p(esk1_1(X6))
    | big_p(esk9_0)
    | big_p(X7)
    | big_p(X6) ),
    inference(ef,[status(thm)],[26,theory(equality)]) ).

fof(312,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( ~ big_p(esk2_0)
        | ~ big_q(X2)
        | ~ big_q(esk8_0)
        | ~ big_q(esk7_1(X2)) ) ),
    introduced(definition),
    [split] ).

cnf(313,plain,
    ( epred1_0
    | ~ big_p(esk2_0)
    | ~ big_q(X2)
    | ~ big_q(esk8_0)
    | ~ big_q(esk7_1(X2)) ),
    inference(split_equiv,[status(thm)],[312]) ).

fof(314,plain,
    ( ~ epred2_0
  <=> ! [X3] : ~ big_q(X3) ),
    introduced(definition),
    [split] ).

cnf(315,plain,
    ( epred2_0
    | ~ big_q(X3) ),
    inference(split_equiv,[status(thm)],[314]) ).

fof(316,plain,
    ( ~ epred3_0
  <=> ! [X4] :
        ( ~ big_p(X4)
        | ~ big_p(esk1_1(X4)) ) ),
    introduced(definition),
    [split] ).

cnf(317,plain,
    ( epred3_0
    | ~ big_p(X4)
    | ~ big_p(esk1_1(X4)) ),
    inference(split_equiv,[status(thm)],[316]) ).

fof(318,plain,
    ( ~ epred4_0
  <=> ! [X1] : ~ big_p(X1) ),
    introduced(definition),
    [split] ).

cnf(319,plain,
    ( epred4_0
    | ~ big_p(X1) ),
    inference(split_equiv,[status(thm)],[318]) ).

cnf(320,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[17,312,theory(equality)]),314,theory(equality)]),316,theory(equality)]),318,theory(equality)]),
    [split] ).

cnf(329,negated_conjecture,
    ( big_q(esk7_1(X4))
    | big_q(esk3_0)
    | big_q(X4)
    | big_p(esk9_0)
    | big_p(X5)
    | big_p(esk1_1(X5)) ),
    inference(ef,[status(thm)],[136,theory(equality)]) ).

cnf(452,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_q(esk3_0)
    | big_q(X3)
    | big_p(esk1_1(X5))
    | big_p(esk9_0)
    | big_p(X5)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[117,329,theory(equality)]) ).

cnf(461,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_p(esk1_1(X1))
    | big_p(esk12_0)
    | big_p(X2)
    | big_p(X1)
    | big_q(X3)
    | big_p(esk1_1(X4))
    | big_p(esk9_0)
    | big_p(X4)
    | ~ big_q(esk11_0) ),
    inference(spm,[status(thm)],[42,329,theory(equality)]) ).

cnf(466,negated_conjecture,
    ( big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk12_0)
    | big_p(X2)
    | big_q(esk3_0)
    | big_q(X3)
    | big_p(esk1_1(X4))
    | big_p(esk9_0)
    | big_p(X4)
    | ~ big_q(esk10_0)
    | ~ big_q(esk11_0)
    | ~ big_p(esk2_0) ),
    inference(spm,[status(thm)],[48,329,theory(equality)]) ).

cnf(473,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X2)
    | big_q(esk3_0)
    | big_q(X4)
    | big_p(esk1_1(X6))
    | big_p(esk9_0)
    | big_p(X6)
    | ~ big_q(X5) ),
    inference(spm,[status(thm)],[114,329,theory(equality)]) ).

cnf(474,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk1_1(X1))
    | big_p(esk12_0)
    | big_p(X1)
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk1_1(X4))
    | big_p(esk9_0)
    | big_p(X4)
    | ~ big_q(esk11_0)
    | ~ big_q(X3)
    | ~ big_p(esk2_0) ),
    inference(spm,[status(thm)],[40,329,theory(equality)]) ).

cnf(522,negated_conjecture,
    ( epred2_0
    | big_q(esk3_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk9_0)
    | big_p(X2) ),
    inference(spm,[status(thm)],[315,329,theory(equality)]) ).

cnf(523,negated_conjecture,
    ( epred4_0
    | big_q(esk7_1(X2))
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk9_0)
    | big_p(X1) ),
    inference(spm,[status(thm)],[319,329,theory(equality)]) ).

cnf(526,negated_conjecture,
    ( epred2_0
    | big_q(esk3_0)
    | big_p(esk1_1(X2))
    | big_p(esk9_0)
    | big_p(X2) ),
    inference(csr,[status(thm)],[522,315]) ).

cnf(527,negated_conjecture,
    ( epred2_0
    | big_p(esk1_1(X2))
    | big_p(esk9_0)
    | big_p(X2) ),
    inference(csr,[status(thm)],[526,315]) ).

cnf(538,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4)
    | epred2_0
    | big_p(esk9_0)
    | big_p(X5)
    | ~ big_p(esk18_0) ),
    inference(spm,[status(thm)],[95,527,theory(equality)]) ).

cnf(540,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X3)
    | epred2_0
    | big_p(esk9_0)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[93,527,theory(equality)]) ).

cnf(561,negated_conjecture,
    ( epred4_0
    | big_q(esk7_1(X2))
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk9_0) ),
    inference(csr,[status(thm)],[523,319]) ).

cnf(562,negated_conjecture,
    ( epred4_0
    | big_q(esk7_1(X2))
    | big_q(esk3_0)
    | big_q(X2) ),
    inference(csr,[status(thm)],[561,319]) ).

cnf(573,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X3)
    | epred4_0
    | big_q(esk3_0)
    | big_q(X5)
    | ~ big_q(esk24_0) ),
    inference(spm,[status(thm)],[130,562,theory(equality)]) ).

cnf(575,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X2)
    | epred4_0
    | big_q(esk3_0)
    | big_q(X4)
    | ~ big_q(X5) ),
    inference(spm,[status(thm)],[114,562,theory(equality)]) ).

cnf(764,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(esk3_0)
    | big_q(X1)
    | big_p(esk1_1(X5))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X5)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[452,117]) ).

cnf(765,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk1_1(X5))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X5)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[764,117]) ).

cnf(804,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X3)
    | big_p(esk1_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[461,58]) ).

cnf(805,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X3)
    | big_p(esk1_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[804,58]) ).

cnf(806,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X3)
    | big_p(esk1_1(X1))
    | big_p(esk12_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[805,58]) ).

cnf(807,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_p(esk1_1(X1))
    | big_p(esk12_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[806,42]) ).

cnf(827,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(esk9_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(esk18_0) ),
    inference(csr,[status(thm)],[538,95]) ).

cnf(828,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(esk18_0) ),
    inference(csr,[status(thm)],[827,95]) ).

cnf(829,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_p(X4)
    | big_p(X3)
    | ~ big_p(esk18_0) ),
    inference(csr,[status(thm)],[828,315]) ).

cnf(830,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_p(X4)
    | big_p(X3)
    | ~ big_p(esk18_0) ),
    inference(csr,[status(thm)],[829,315]) ).

cnf(831,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_p(X4)
    | big_p(X3)
    | ~ big_p(esk18_0) ),
    inference(csr,[status(thm)],[830,315]) ).

cnf(832,negated_conjecture,
    ( epred2_0
    | big_p(X4)
    | big_p(X3)
    | ~ big_p(esk18_0) ),
    inference(csr,[status(thm)],[831,315]) ).

cnf(833,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk9_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[540,93]) ).

cnf(834,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[833,93]) ).

cnf(835,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[834,315]) ).

cnf(836,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[835,315]) ).

cnf(837,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[836,315]) ).

cnf(838,negated_conjecture,
    ( epred2_0
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[837,315]) ).

cnf(840,negated_conjecture,
    ( epred2_0
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(esk9_0)
    | big_p(X2) ),
    inference(spm,[status(thm)],[838,527,theory(equality)]) ).

cnf(841,negated_conjecture,
    ( epred2_0
    | big_p(esk18_0)
    | big_p(esk9_0)
    | big_p(X1) ),
    inference(csr,[status(thm)],[840,838]) ).

cnf(842,negated_conjecture,
    ( epred2_0
    | big_p(esk18_0)
    | big_p(X1) ),
    inference(csr,[status(thm)],[841,838]) ).

cnf(843,negated_conjecture,
    ( epred2_0
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[842,theory(equality)]) ).

cnf(933,negated_conjecture,
    ( epred2_0
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[832,843,theory(equality)]) ).

cnf(934,negated_conjecture,
    ( epred2_0
    | big_p(X3) ),
    inference(ef,[status(thm)],[933,theory(equality)]) ).

cnf(1067,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | epred2_0
    | ~ big_p(esk14_0)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[89,934,theory(equality)]) ).

cnf(1335,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | ~ big_p(esk14_0)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[1067,934]) ).

cnf(1336,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | ~ big_p(esk14_0) ),
    inference(csr,[status(thm)],[1335,934]) ).

cnf(1337,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1) ),
    inference(csr,[status(thm)],[1336,934]) ).

cnf(1338,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2) ),
    inference(csr,[status(thm)],[1337,315]) ).

cnf(1339,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1))
    | big_q(esk15_0) ),
    inference(csr,[status(thm)],[1338,315]) ).

cnf(1340,negated_conjecture,
    ( epred2_0
    | big_q(esk19_1(X1)) ),
    inference(csr,[status(thm)],[1339,315]) ).

cnf(1341,negated_conjecture,
    epred2_0,
    inference(csr,[status(thm)],[1340,315]) ).

cnf(1345,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0
    | $false
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[320,1341,theory(equality)]) ).

cnf(1346,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[1345,theory(equality)]) ).

cnf(1354,negated_conjecture,
    ( epred4_0
    | big_q(esk3_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X3)
    | ~ big_q(esk24_0) ),
    inference(csr,[status(thm)],[573,130]) ).

cnf(1355,negated_conjecture,
    ( epred4_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X3)
    | ~ big_q(esk24_0) ),
    inference(csr,[status(thm)],[1354,130]) ).

cnf(1356,negated_conjecture,
    ( epred4_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(X4)
    | ~ big_q(esk24_0) ),
    inference(csr,[status(thm)],[1355,319]) ).

cnf(1357,negated_conjecture,
    ( epred4_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | ~ big_q(esk24_0) ),
    inference(csr,[status(thm)],[1356,319]) ).

cnf(1358,negated_conjecture,
    ( epred4_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | ~ big_q(esk24_0) ),
    inference(csr,[status(thm)],[1357,319]) ).

cnf(1359,negated_conjecture,
    ( epred4_0
    | big_q(X1)
    | big_q(X2)
    | ~ big_q(esk24_0) ),
    inference(csr,[status(thm)],[1358,319]) ).

cnf(1371,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(esk3_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X2)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[575,114]) ).

cnf(1372,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X2)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[1371,114]) ).

cnf(1373,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk23_0)
    | big_p(X3)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[1372,319]) ).

cnf(1374,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk23_0)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[1373,319]) ).

cnf(1375,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[1374,319]) ).

cnf(1376,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(X1)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[1375,319]) ).

cnf(1378,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(esk3_0)
    | big_q(X2) ),
    inference(spm,[status(thm)],[1376,562,theory(equality)]) ).

cnf(1383,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(esk3_0)
    | big_q(X1) ),
    inference(csr,[status(thm)],[1378,1376]) ).

cnf(1384,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0)
    | big_q(X1) ),
    inference(csr,[status(thm)],[1383,1376]) ).

cnf(1385,negated_conjecture,
    ( epred4_0
    | big_q(esk24_0) ),
    inference(ef,[status(thm)],[1384,theory(equality)]) ).

cnf(1537,negated_conjecture,
    ( epred4_0
    | big_q(X1)
    | big_q(X2) ),
    inference(spm,[status(thm)],[1359,1385,theory(equality)]) ).

cnf(1538,negated_conjecture,
    ( epred4_0
    | big_q(X3) ),
    inference(ef,[status(thm)],[1537,theory(equality)]) ).

cnf(1768,negated_conjecture,
    ( big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2)
    | big_p(X1)
    | epred4_0
    | ~ big_q(esk20_0)
    | ~ big_q(X4)
    | ~ big_q(X3) ),
    inference(spm,[status(thm)],[82,1538,theory(equality)]) ).

cnf(1858,negated_conjecture,
    ( big_q(esk3_0)
    | big_q(X1)
    | big_q(X3)
    | big_p(esk1_1(X2))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X4)
    | ~ big_q(esk10_0)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[466,50]) ).

cnf(1859,negated_conjecture,
    ( big_q(esk3_0)
    | big_q(X1)
    | big_q(X3)
    | big_p(esk1_1(X2))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X4)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[1858,807]) ).

cnf(2221,negated_conjecture,
    ( epred4_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk20_0)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[1768,1538]) ).

cnf(2222,negated_conjecture,
    ( epred4_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk20_0) ),
    inference(csr,[status(thm)],[2221,1538]) ).

cnf(2223,negated_conjecture,
    ( epred4_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2)
    | big_p(X1) ),
    inference(csr,[status(thm)],[2222,1538]) ).

cnf(2224,negated_conjecture,
    ( epred4_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2) ),
    inference(csr,[status(thm)],[2223,319]) ).

cnf(2225,negated_conjecture,
    ( epred4_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0) ),
    inference(csr,[status(thm)],[2224,319]) ).

cnf(2226,negated_conjecture,
    ( epred4_0
    | big_p(esk13_1(X1)) ),
    inference(csr,[status(thm)],[2225,319]) ).

cnf(2227,negated_conjecture,
    epred4_0,
    inference(csr,[status(thm)],[2226,319]) ).

cnf(2229,negated_conjecture,
    ( $false
    | ~ epred3_0
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[1346,2227,theory(equality)]) ).

cnf(2230,negated_conjecture,
    ( ~ epred3_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[2229,theory(equality)]) ).

cnf(2232,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk1_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(esk9_0)
    | big_p(X1)
    | big_p(X4)
    | ~ big_q(esk11_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[474,1859]) ).

cnf(2233,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk1_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(esk9_0)
    | big_p(X1)
    | big_p(X4)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[2232,1859]) ).

cnf(2234,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk1_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(esk9_0)
    | big_p(X1)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[2233,58]) ).

cnf(2235,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk1_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk12_0)
    | big_p(X1)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[2234,58]) ).

cnf(2236,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X2)
    | big_p(esk1_1(X1))
    | big_p(esk12_0)
    | big_p(X1)
    | ~ big_q(esk11_0) ),
    inference(csr,[status(thm)],[2235,58]) ).

cnf(2264,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk3_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk1_1(X6))
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X3)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[473,114]) ).

cnf(2265,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk1_1(X6))
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X3)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(X5) ),
    inference(csr,[status(thm)],[2264,114]) ).

cnf(2266,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk13_1(X3))
    | big_p(esk9_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_q(esk3_0)
    | big_q(X5)
    | big_p(esk1_1(X6))
    | big_p(X6) ),
    inference(spm,[status(thm)],[2265,329,theory(equality)]) ).

cnf(2273,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk3_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk13_1(X3))
    | big_p(esk1_1(X6))
    | big_p(esk9_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X6) ),
    inference(csr,[status(thm)],[2266,2265]) ).

cnf(2274,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk13_1(X3))
    | big_p(esk1_1(X6))
    | big_p(esk9_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X6) ),
    inference(csr,[status(thm)],[2273,2265]) ).

cnf(2275,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X6)
    | big_p(esk13_1(X8))
    | big_p(esk1_1(X7))
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X7)
    | big_p(X9)
    | big_p(X8) ),
    inference(ef,[status(thm)],[2274,theory(equality)]) ).

cnf(2775,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X5)
    | big_p(esk13_1(X7))
    | big_p(esk9_0)
    | big_p(esk23_0)
    | big_p(X7)
    | big_p(esk1_1(X6))
    | big_p(X6) ),
    inference(ef,[status(thm)],[2275,theory(equality)]) ).

cnf(2999,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(X2)
    | big_p(X1)
    | big_p(esk1_1(X6))
    | big_p(esk13_1(X7))
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X6)
    | big_p(X7)
    | ~ big_q(esk22_0)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[106,2775,theory(equality)]) ).

cnf(3042,negated_conjecture,
    ( big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2)
    | big_p(X1)
    | big_q(esk24_0)
    | big_p(esk1_1(X5))
    | big_p(esk13_1(X6))
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X5)
    | big_p(X6)
    | ~ big_q(esk20_0)
    | ~ big_q(X4)
    | ~ big_q(X3) ),
    inference(spm,[status(thm)],[82,2775,theory(equality)]) ).

cnf(3062,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk9_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(X5)
    | big_p(esk13_1(X6))
    | big_p(X4)
    | big_p(X6) ),
    inference(spm,[status(thm)],[765,2775,theory(equality)]) ).

cnf(3085,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk1_1(X2))
    | big_p(esk13_1(X6))
    | big_p(esk9_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[3062,765]) ).

cnf(3086,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk1_1(X2))
    | big_p(esk13_1(X6))
    | big_p(esk9_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[3085,765]) ).

cnf(3087,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk1_1(X2))
    | big_p(esk9_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[3086,765]) ).

cnf(3088,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X5)
    | big_p(esk1_1(X6))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk9_0)
    | big_p(X7)
    | big_p(X6) ),
    inference(ef,[status(thm)],[3087,theory(equality)]) ).

cnf(3535,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X4)
    | big_p(esk9_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X5)
    | big_p(esk1_1(X5)) ),
    inference(ef,[status(thm)],[3088,theory(equality)]) ).

cnf(3700,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X3)
    | big_q(esk24_0)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[93,3535,theory(equality)]) ).

cnf(3967,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[3700,93]) ).

cnf(3968,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[3967,93]) ).

cnf(3969,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[3968,93]) ).

cnf(3973,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X3)
    | big_p(esk18_0)
    | big_p(X4)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X5) ),
    inference(spm,[status(thm)],[3969,3535,theory(equality)]) ).

cnf(3996,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X3)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X4) ),
    inference(csr,[status(thm)],[3973,3969]) ).

cnf(3997,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X3)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X4) ),
    inference(csr,[status(thm)],[3996,3969]) ).

cnf(3998,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X3)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(X4) ),
    inference(csr,[status(thm)],[3997,3969]) ).

cnf(3999,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(esk19_1(X6))
    | big_q(X7)
    | big_q(X6)
    | big_q(X8)
    | big_p(esk18_0)
    | big_p(X9) ),
    inference(ef,[status(thm)],[3998,theory(equality)]) ).

cnf(4280,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(esk19_1(X5))
    | big_q(X5)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[3999,theory(equality)]) ).

cnf(4495,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(esk19_1(X4))
    | big_q(X4)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[4280,theory(equality)]) ).

cnf(4649,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_q(X3)
    | big_p(X5)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[117,4495,theory(equality)]) ).

cnf(4686,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_q(esk19_1(X4))
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_p(esk14_0)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[113,4495,theory(equality)]) ).

cnf(4688,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(X2)
    | big_q(X1)
    | big_p(esk18_0)
    | big_q(esk19_1(X6))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X6)
    | ~ big_q(X3)
    | ~ big_p(esk16_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[92,4495,theory(equality)]) ).

cnf(4718,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(esk19_1(X5))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X5)
    | big_p(esk18_0)
    | ~ big_p(esk14_0)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[89,4495,theory(equality)]) ).

cnf(4726,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X2))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_p(esk18_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,4495,theory(equality)]) ).

cnf(4744,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X2))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[4726,4495]) ).

cnf(4746,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | epred3_0
    | big_q(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[117,4744,theory(equality)]) ).

cnf(4789,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[4746,117]) ).

cnf(4793,negated_conjecture,
    ( epred3_0
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_q(X4)
    | big_p(esk9_0)
    | big_p(X3) ),
    inference(spm,[status(thm)],[4789,3535,theory(equality)]) ).

cnf(4796,negated_conjecture,
    ( epred3_0
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X4)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X2) ),
    inference(csr,[status(thm)],[4793,4789]) ).

cnf(4797,negated_conjecture,
    ( epred3_0
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X4)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2) ),
    inference(csr,[status(thm)],[4796,4789]) ).

cnf(4798,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[4797,theory(equality)]) ).

cnf(5042,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[4798,theory(equality)]) ).

cnf(5268,negated_conjecture,
    ( epred3_0
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,5042,theory(equality)]) ).

cnf(5281,negated_conjecture,
    ( epred3_0
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[5268,5042]) ).

cnf(5286,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | epred3_0
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[63,5281,theory(equality)]) ).

cnf(5287,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | epred3_0
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[62,5281,theory(equality)]) ).

cnf(5295,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(X3)
    | big_p(X2)
    | epred3_0
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[58,5281,theory(equality)]) ).

cnf(5355,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X5)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[4649,117]) ).

cnf(5359,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(X5)
    | big_p(esk9_0)
    | big_p(X4) ),
    inference(spm,[status(thm)],[5355,3535,theory(equality)]) ).

cnf(5623,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[5359,5355]) ).

cnf(5624,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[5623,5355]) ).

cnf(5625,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[5624,theory(equality)]) ).

cnf(5922,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[5625,theory(equality)]) ).

cnf(6134,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[5922,theory(equality)]) ).

cnf(6283,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X2)
    | big_p(esk18_0)
    | big_p(X5)
    | ~ big_q(X4) ),
    inference(spm,[status(thm)],[114,6134,theory(equality)]) ).

cnf(6299,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_p(esk14_0)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[113,6134,theory(equality)]) ).

cnf(6311,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk22_0)
    | ~ big_q(X1)
    | ~ big_p(esk14_0)
    | ~ big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[105,6134,theory(equality)]) ).

cnf(6366,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_p(esk14_0) ),
    inference(csr,[status(thm)],[6299,6134]) ).

cnf(6367,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2) ),
    inference(csr,[status(thm)],[6366,6134]) ).

cnf(6511,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk22_0)
    | ~ big_q(X1)
    | ~ big_p(esk14_0)
    | ~ big_p(X2) ),
    inference(csr,[status(thm)],[6311,109]) ).

cnf(6512,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk22_0)
    | ~ big_q(X1)
    | ~ big_p(esk14_0) ),
    inference(csr,[status(thm)],[6511,6134]) ).

cnf(6513,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk22_0)
    | ~ big_q(X1) ),
    inference(csr,[status(thm)],[6512,6134]) ).

cnf(6514,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk22_0) ),
    inference(csr,[status(thm)],[6513,6367]) ).

cnf(6645,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk13_1(X2))
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X2)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[6283,6134,theory(equality)]) ).

cnf(6661,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk13_1(X7))
    | big_p(X8)
    | big_p(X7)
    | big_p(X9) ),
    inference(ef,[status(thm)],[6645,theory(equality)]) ).

cnf(6941,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X5)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk13_1(X6))
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[6661,theory(equality)]) ).

cnf(7167,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk13_1(X5))
    | big_p(X5) ),
    inference(ef,[status(thm)],[6941,theory(equality)]) ).

cnf(7552,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[5286,63]) ).

cnf(7557,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk24_0)
    | ~ big_p(esk4_0)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[7552,5281,theory(equality)]) ).

cnf(7560,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[7557,7552]) ).

cnf(7600,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[5287,62]) ).

cnf(7605,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk24_0)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[7600,5281,theory(equality)]) ).

cnf(7608,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[7605,7600]) ).

cnf(7615,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_q(esk24_0)
    | big_q(X5)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[7608,7167,theory(equality)]) ).

cnf(7647,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[7615,7608]) ).

cnf(7654,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | big_q(X5)
    | big_p(X4) ),
    inference(spm,[status(thm)],[7647,7167,theory(equality)]) ).

cnf(7684,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(csr,[status(thm)],[7654,7647]) ).

cnf(7685,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X5)
    | big_q(X6)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[7684,theory(equality)]) ).

cnf(8027,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[7685,theory(equality)]) ).

cnf(8282,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[8027,theory(equality)]) ).

cnf(8518,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,8282,theory(equality)]) ).

cnf(8542,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[8518,8282]) ).

cnf(8549,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | epred3_0
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,8542,theory(equality)]) ).

cnf(8689,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X2)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[5295,58]) ).

cnf(8720,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[8549,5281,theory(equality)]) ).

cnf(8735,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_q(X6)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[8720,7167,theory(equality)]) ).

cnf(9306,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X6)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[8735,8720]) ).

cnf(9313,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X4)
    | big_q(X6)
    | big_p(X5) ),
    inference(spm,[status(thm)],[9306,7167,theory(equality)]) ).

cnf(9617,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X4) ),
    inference(csr,[status(thm)],[9313,9306]) ).

cnf(9618,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X6)
    | big_q(X7)
    | big_q(X8)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X9) ),
    inference(ef,[status(thm)],[9617,theory(equality)]) ).

cnf(10076,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X5)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[9618,theory(equality)]) ).

cnf(10440,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_q(X4)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[10076,theory(equality)]) ).

cnf(10712,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[10440,theory(equality)]) ).

cnf(10960,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,10712,theory(equality)]) ).

cnf(10990,negated_conjecture,
    ( epred3_0
    | big_q(esk24_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(csr,[status(thm)],[10960,10712]) ).

cnf(11002,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X3)
    | epred3_0
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_q(esk24_0) ),
    inference(spm,[status(thm)],[130,10990,theory(equality)]) ).

cnf(11657,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X4)
    | big_p(X3) ),
    inference(csr,[status(thm)],[11002,10990]) ).

cnf(11658,negated_conjecture,
    ( epred3_0
    | big_q(X5)
    | big_p(esk13_1(X6))
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[11657,theory(equality)]) ).

cnf(11889,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(esk13_1(X5))
    | big_p(X5) ),
    inference(ef,[status(thm)],[11658,theory(equality)]) ).

cnf(12158,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_q(X5)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[7608,11889,theory(equality)]) ).

cnf(12802,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[12158,7608]) ).

cnf(12816,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | big_q(X5)
    | big_p(X4) ),
    inference(spm,[status(thm)],[12802,11889,theory(equality)]) ).

cnf(12832,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(csr,[status(thm)],[12816,12802]) ).

cnf(12833,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X5)
    | big_q(X6)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[12832,theory(equality)]) ).

cnf(13180,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[12833,theory(equality)]) ).

cnf(13440,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[13180,theory(equality)]) ).

cnf(13680,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,13440,theory(equality)]) ).

cnf(13708,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[13680,13440]) ).

cnf(13715,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,13708,theory(equality)]) ).

cnf(13786,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[13715,10990,theory(equality)]) ).

cnf(13810,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_q(X6)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[13786,11889,theory(equality)]) ).

cnf(13822,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_q(X6)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[13810,13786]) ).

cnf(13836,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X4)
    | big_q(X6)
    | big_p(X5) ),
    inference(spm,[status(thm)],[13822,11889,theory(equality)]) ).

cnf(13843,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X4) ),
    inference(csr,[status(thm)],[13836,13822]) ).

cnf(13844,negated_conjecture,
    ( epred3_0
    | big_q(X6)
    | big_q(X7)
    | big_q(X8)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X9) ),
    inference(ef,[status(thm)],[13843,theory(equality)]) ).

cnf(14281,negated_conjecture,
    ( epred3_0
    | big_q(X5)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[13844,theory(equality)]) ).

cnf(14620,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[14281,theory(equality)]) ).

cnf(14979,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,14620,theory(equality)]) ).

cnf(15018,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[14979,14620]) ).

cnf(15071,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_q(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[22,15018,theory(equality)]) ).

cnf(15097,negated_conjecture,
    ( big_q(esk3_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk12_0)
    | big_p(X2)
    | epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(spm,[status(thm)],[2236,15018,theory(equality)]) ).

cnf(15121,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk12_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2) ),
    inference(csr,[status(thm)],[15097,8689]) ).

cnf(15226,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk1_1(X2))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(X5)
    | big_p(esk12_0)
    | big_p(X4) ),
    inference(spm,[status(thm)],[8689,15121,theory(equality)]) ).

cnf(16805,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[15071,15018]) ).

cnf(16806,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[16805,15018]) ).

cnf(16807,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[16806,15018]) ).

cnf(16918,negated_conjecture,
    ( big_q(esk19_1(X4))
    | big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_p(esk14_0) ),
    inference(csr,[status(thm)],[4686,4495]) ).

cnf(16919,negated_conjecture,
    ( big_q(esk19_1(X4))
    | big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2) ),
    inference(csr,[status(thm)],[16918,4495]) ).

cnf(16920,negated_conjecture,
    ( big_q(esk19_1(X4))
    | big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[16919,4495]) ).

cnf(16921,negated_conjecture,
    ( big_q(esk19_1(X4))
    | big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[16920,6367]) ).

cnf(16922,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[16921,6367]) ).

cnf(17016,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk15_0)
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(spm,[status(thm)],[6514,16922,theory(equality)]) ).

cnf(17023,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_q(esk17_0)
    | ~ big_q(X2)
    | ~ big_p(esk16_0)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[116,17016,theory(equality)]) ).

cnf(17050,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_p(esk16_0) ),
    inference(csr,[status(thm)],[17023,6134]) ).

cnf(17051,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2) ),
    inference(csr,[status(thm)],[17050,6134]) ).

cnf(17073,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(spm,[status(thm)],[17051,17016,theory(equality)]) ).

cnf(17089,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk17_0)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[17073,theory(equality)]) ).

cnf(17200,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_p(esk16_0)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[116,17089,theory(equality)]) ).

cnf(17201,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[63,17089,theory(equality)]) ).

cnf(17202,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[62,17089,theory(equality)]) ).

cnf(17213,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(X2)
    | big_p(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk22_0)
    | ~ big_q(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[106,17089,theory(equality)]) ).

cnf(17246,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_p(esk16_0)
    | ~ big_p(X2) ),
    inference(spm,[status(thm)],[17200,17089,theory(equality)]) ).

cnf(17320,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk1_1(X2))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk12_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[15226,8689]) ).

cnf(17321,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk1_1(X2))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[17320,8689]) ).

cnf(17322,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X5)
    | big_p(esk1_1(X6))
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X7)
    | big_p(X6) ),
    inference(ef,[status(thm)],[17321,theory(equality)]) ).

cnf(17544,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X5)
    | big_p(esk1_1(X5)) ),
    inference(ef,[status(thm)],[17322,theory(equality)]) ).

cnf(17806,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk3_0)
    | big_q(X5)
    | big_p(X4)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[7560,17544,theory(equality)]) ).

cnf(18319,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk22_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[17213,7167]) ).

cnf(18320,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[18319,7167]) ).

cnf(19076,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[17806,15018]) ).

cnf(19077,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X7)
    | big_p(X8)
    | big_p(X9) ),
    inference(ef,[status(thm)],[19076,theory(equality)]) ).

cnf(19436,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X5)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[19077,theory(equality)]) ).

cnf(19716,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[19436,theory(equality)]) ).

cnf(19919,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk3_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[19716,theory(equality)]) ).

cnf(20122,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,19919,theory(equality)]) ).

cnf(20144,negated_conjecture,
    ( epred3_0
    | big_q(esk3_0)
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[20122,19919]) ).

cnf(20147,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[63,20144,theory(equality)]) ).

cnf(20435,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[20147,15018]) ).

cnf(20452,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[20435,20144,theory(equality)]) ).

cnf(22231,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[17201,63]) ).

cnf(22244,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk24_0)
    | ~ big_p(esk4_0)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[22231,17089,theory(equality)]) ).

cnf(22247,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | epred3_0
    | ~ big_p(esk4_0)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[22231,20144,theory(equality)]) ).

cnf(22261,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0) ),
    inference(csr,[status(thm)],[22247,20452]) ).

cnf(22262,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[22261,15018]) ).

cnf(22263,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[22262,theory(equality)]) ).

cnf(22488,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[22263,theory(equality)]) ).

cnf(22698,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,22488,theory(equality)]) ).

cnf(22722,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(csr,[status(thm)],[22698,22488]) ).

cnf(22725,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[71,22722,theory(equality)]) ).

cnf(22732,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X3)
    | epred3_0
    | big_p(esk18_0)
    | ~ big_q(esk24_0) ),
    inference(spm,[status(thm)],[130,22722,theory(equality)]) ).

cnf(22788,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[22244,22231]) ).

cnf(22865,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X4)
    | big_p(X3) ),
    inference(csr,[status(thm)],[22732,7167]) ).

cnf(22866,negated_conjecture,
    ( epred3_0
    | big_q(X5)
    | big_p(esk13_1(X6))
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[22865,theory(equality)]) ).

cnf(23107,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk13_1(X5))
    | big_p(X5) ),
    inference(ef,[status(thm)],[22866,theory(equality)]) ).

cnf(23431,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X6))
    | big_p(esk13_1(X7))
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X1)
    | big_p(X6)
    | big_p(X7)
    | ~ big_q(esk22_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[2999,2775]) ).

cnf(23432,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X6))
    | big_p(esk13_1(X7))
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X1)
    | big_p(X6)
    | big_p(X7)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[23431,2775]) ).

cnf(23514,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[22725,15018]) ).

cnf(23536,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[23514,22722,theory(equality)]) ).

cnf(23575,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | big_q(X6)
    | big_p(X5) ),
    inference(spm,[status(thm)],[23536,23107,theory(equality)]) ).

cnf(23577,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_q(X6)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[23575,23536]) ).

cnf(23578,negated_conjecture,
    ( epred3_0
    | big_q(X6)
    | big_q(X7)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X8)
    | big_p(X9) ),
    inference(ef,[status(thm)],[23577,theory(equality)]) ).

cnf(23973,negated_conjecture,
    ( epred3_0
    | big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[23578,theory(equality)]) ).

cnf(24271,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[23973,theory(equality)]) ).

cnf(24587,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,24271,theory(equality)]) ).

cnf(24624,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[24587,24271]) ).

cnf(24674,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[23,24624,theory(equality)]) ).

cnf(24682,negated_conjecture,
    ( big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2)
    | big_p(X1)
    | epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk20_0)
    | ~ big_q(X4)
    | ~ big_q(X3) ),
    inference(spm,[status(thm)],[82,24624,theory(equality)]) ).

cnf(26311,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[24674,24624]) ).

cnf(26312,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[26311,24624]) ).

cnf(26313,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[26312,24624]) ).

cnf(26515,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[17202,62]) ).

cnf(26527,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk24_0)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[26515,17089,theory(equality)]) ).

cnf(26570,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[26527,26515]) ).

cnf(26576,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_q(esk24_0)
    | big_q(X5)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[26570,7167,theory(equality)]) ).

cnf(26644,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[26576,26570]) ).

cnf(26650,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | big_q(X5)
    | big_p(X4) ),
    inference(spm,[status(thm)],[26644,7167,theory(equality)]) ).

cnf(26678,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(csr,[status(thm)],[26650,26644]) ).

cnf(26679,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X5)
    | big_q(X6)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[26678,theory(equality)]) ).

cnf(27018,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[26679,theory(equality)]) ).

cnf(27274,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[27018,theory(equality)]) ).

cnf(27562,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_q(esk10_0)
    | big_p(esk4_0)
    | ~ big_p(esk16_0) ),
    inference(spm,[status(thm)],[17246,27274,theory(equality)]) ).

cnf(27575,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[27562,27274]) ).

cnf(27576,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(ef,[status(thm)],[27575,theory(equality)]) ).

cnf(27691,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,27576,theory(equality)]) ).

cnf(27739,negated_conjecture,
    ( epred3_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk20_0)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[24682,24624]) ).

cnf(27740,negated_conjecture,
    ( epred3_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk20_0) ),
    inference(csr,[status(thm)],[27739,24624]) ).

cnf(27741,negated_conjecture,
    ( epred3_0
    | big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1) ),
    inference(csr,[status(thm)],[27740,24624]) ).

cnf(27742,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk21_0)
    | big_p(X3)
    | big_p(esk13_1(X3)) ),
    inference(ef,[status(thm)],[27741,theory(equality)]) ).

cnf(27902,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X1)
    | big_p(esk21_0)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[16807,27742,theory(equality)]) ).

cnf(27911,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(esk21_0)
    | big_p(X3)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[26313,27742,theory(equality)]) ).

cnf(27929,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(esk21_0)
    | big_p(X1)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[27902,16807]) ).

cnf(27930,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X1)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[27929,16807]) ).

cnf(27964,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | big_p(esk21_0)
    | big_p(X2) ),
    inference(spm,[status(thm)],[27930,27742,theory(equality)]) ).

cnf(27972,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk21_0)
    | big_p(X1) ),
    inference(csr,[status(thm)],[27964,27930]) ).

cnf(27973,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1) ),
    inference(csr,[status(thm)],[27972,27930]) ).

cnf(27974,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(esk23_0) ),
    inference(ef,[status(thm)],[27973,theory(equality)]) ).

cnf(28237,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk21_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[27911,27974]) ).

cnf(28238,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk21_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[28237,theory(equality)]) ).

cnf(28531,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk21_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[28238,theory(equality)]) ).

cnf(28734,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk21_0) ),
    inference(ef,[status(thm)],[28531,theory(equality)]) ).

cnf(28888,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[26313,28734,theory(equality)]) ).

cnf(28895,negated_conjecture,
    ( epred3_0
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(csr,[status(thm)],[28888,27974]) ).

cnf(28896,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[28895,theory(equality)]) ).

cnf(29094,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(ef,[status(thm)],[28896,theory(equality)]) ).

cnf(29223,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X3)
    | epred3_0
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[93,29094,theory(equality)]) ).

cnf(29442,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(spm,[status(thm)],[29223,29094,theory(equality)]) ).

cnf(29448,negated_conjecture,
    ( epred3_0
    | big_q(esk17_0)
    | big_q(esk19_1(X4))
    | big_q(X4)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[29442,theory(equality)]) ).

cnf(29686,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X2))
    | big_q(esk17_0)
    | big_q(X2)
    | big_p(esk18_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,29448,theory(equality)]) ).

cnf(29717,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X2))
    | big_q(esk17_0)
    | big_q(X2)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[29686,29448]) ).

cnf(29720,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | epred3_0
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(esk18_0)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[63,29717,theory(equality)]) ).

cnf(29721,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | epred3_0
    | big_q(esk17_0)
    | big_q(X3)
    | big_p(esk18_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[62,29717,theory(equality)]) ).

cnf(32024,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[27691,17089,theory(equality)]) ).

cnf(32126,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X5))
    | big_p(esk13_1(X6))
    | big_p(esk21_0)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X1)
    | big_p(X5)
    | big_p(X6)
    | ~ big_q(esk20_0)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[3042,114]) ).

cnf(32127,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X5))
    | big_p(esk13_1(X6))
    | big_p(esk21_0)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X1)
    | big_p(X5)
    | big_p(X6)
    | ~ big_q(esk20_0) ),
    inference(csr,[status(thm)],[32126,2775]) ).

cnf(32128,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X5))
    | big_p(esk13_1(X6))
    | big_p(esk21_0)
    | big_p(esk23_0)
    | big_p(esk9_0)
    | big_p(X2)
    | big_p(X1)
    | big_p(X5)
    | big_p(X6) ),
    inference(csr,[status(thm)],[32127,2775]) ).

cnf(32129,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk13_1(X6))
    | big_p(esk1_1(X5))
    | big_p(esk21_0)
    | big_p(esk9_0)
    | big_p(esk23_0)
    | big_p(X6)
    | big_p(X5)
    | big_p(X1) ),
    inference(csr,[status(thm)],[32128,23432]) ).

cnf(32130,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk1_1(X5))
    | big_p(esk13_1(X4))
    | big_p(esk9_0)
    | big_p(esk23_0)
    | big_p(esk21_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[32129,theory(equality)]) ).

cnf(32392,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(esk1_1(X4))
    | big_p(esk21_0)
    | big_p(esk9_0)
    | big_p(X4)
    | big_p(X3) ),
    inference(spm,[status(thm)],[18320,32130,theory(equality)]) ).

cnf(32423,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk21_0)
    | big_p(esk9_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(X4) ),
    inference(csr,[status(thm)],[32392,18320]) ).

cnf(32424,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk21_0)
    | big_p(esk9_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(csr,[status(thm)],[32423,18320]) ).

cnf(32425,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk21_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(csr,[status(thm)],[32424,18320]) ).

cnf(32426,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk1_1(X4))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(csr,[status(thm)],[32425,18320]) ).

cnf(32427,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk13_1(X1))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(csr,[status(thm)],[32426,18320]) ).

cnf(32428,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk13_1(X3))
    | big_p(X3) ),
    inference(ef,[status(thm)],[32427,theory(equality)]) ).

cnf(32584,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk24_0)
    | big_p(X4)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[22788,32428,theory(equality)]) ).

cnf(32595,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[32024,32428,theory(equality)]) ).

cnf(32626,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[32584,27576]) ).

cnf(32627,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X5)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[32626,theory(equality)]) ).

cnf(32972,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[32627,theory(equality)]) ).

cnf(33206,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[32972,theory(equality)]) ).

cnf(33424,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[57,33206,theory(equality)]) ).

cnf(34099,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[32595,32024]) ).

cnf(34141,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[34099,32428,theory(equality)]) ).

cnf(34450,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(csr,[status(thm)],[34141,34099]) ).

cnf(34451,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X4)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[34450,theory(equality)]) ).

cnf(34735,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[34451,theory(equality)]) ).

cnf(36031,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[29720,63]) ).

cnf(36032,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[36031,63]) ).

cnf(36050,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk17_0)
    | big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[36032,29717,theory(equality)]) ).

cnf(36100,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[36050,36032]) ).

cnf(36101,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[36100,36032]) ).

cnf(36128,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[36101,29094,theory(equality)]) ).

cnf(36146,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[29721,62]) ).

cnf(36147,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[36146,62]) ).

cnf(36165,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk17_0)
    | big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[36147,29717,theory(equality)]) ).

cnf(36271,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[36165,36147]) ).

cnf(36272,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[36271,36147]) ).

cnf(36299,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[36272,29094,theory(equality)]) ).

cnf(36343,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2) ),
    inference(spm,[status(thm)],[36299,29094,theory(equality)]) ).

cnf(36361,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[36343,theory(equality)]) ).

cnf(36612,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,36361,theory(equality)]) ).

cnf(36650,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[36612,36361]) ).

cnf(36656,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | epred3_0
    | big_p(esk18_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,36650,theory(equality)]) ).

cnf(37906,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[36656,36650,theory(equality)]) ).

cnf(37939,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[37906,29094,theory(equality)]) ).

cnf(37999,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(spm,[status(thm)],[37939,29094,theory(equality)]) ).

cnf(38029,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[37999,theory(equality)]) ).

cnf(38397,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,38029,theory(equality)]) ).

cnf(38448,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[38397,38029]) ).

cnf(38500,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | epred3_0
    | big_p(esk18_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_q(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[22,38448,theory(equality)]) ).

cnf(38983,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[38500,38448]) ).

cnf(38984,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[38983,38448]) ).

cnf(38985,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[38984,38448]) ).

cnf(39012,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(spm,[status(thm)],[38985,29094,theory(equality)]) ).

cnf(39058,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1) ),
    inference(spm,[status(thm)],[39012,29094,theory(equality)]) ).

cnf(39078,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(ef,[status(thm)],[39058,theory(equality)]) ).

cnf(39256,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[36128,39078,theory(equality)]) ).

cnf(39258,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[39256,theory(equality)]) ).

cnf(39512,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[39258,theory(equality)]) ).

cnf(39751,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,39512,theory(equality)]) ).

cnf(39789,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[39751,39512]) ).

cnf(39792,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | epred3_0
    | big_p(esk18_0)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[71,39789,theory(equality)]) ).

cnf(40629,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[39792,39078]) ).

cnf(40662,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[40629,39789,theory(equality)]) ).

cnf(40696,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[40662,29094,theory(equality)]) ).

cnf(40717,negated_conjecture,
    ( epred3_0
    | big_q(X5)
    | big_p(esk18_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[40696,theory(equality)]) ).

cnf(41043,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[40717,theory(equality)]) ).

cnf(41379,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk18_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,41043,theory(equality)]) ).

cnf(41430,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[41379,41043]) ).

cnf(41480,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | epred3_0
    | big_p(esk18_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[23,41430,theory(equality)]) ).

cnf(43133,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[41480,39078]) ).

cnf(43134,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[43133,41430]) ).

cnf(43135,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[43134,41430]) ).

cnf(43136,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[43135,41430]) ).

cnf(43162,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[43136,29094,theory(equality)]) ).

cnf(43184,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[43162,theory(equality)]) ).

cnf(43408,negated_conjecture,
    ( epred3_0
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[43184,theory(equality)]) ).

cnf(43549,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4)
    | epred3_0
    | ~ big_p(esk18_0) ),
    inference(spm,[status(thm)],[95,43408,theory(equality)]) ).

cnf(44034,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[43549,43408]) ).

cnf(44035,negated_conjecture,
    ( epred3_0
    | big_q(esk17_0)
    | big_q(X5)
    | big_q(esk19_1(X5))
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[44034,theory(equality)]) ).

cnf(44309,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X4))
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[44035,theory(equality)]) ).

cnf(44558,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X2))
    | big_q(esk17_0)
    | big_q(X2)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,44309,theory(equality)]) ).

cnf(44594,negated_conjecture,
    ( epred3_0
    | big_q(esk19_1(X2))
    | big_q(esk17_0)
    | big_q(X2) ),
    inference(csr,[status(thm)],[44558,44309]) ).

cnf(44597,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | epred3_0
    | big_q(esk17_0)
    | big_q(X4)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[63,44594,theory(equality)]) ).

cnf(44598,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | epred3_0
    | big_q(esk17_0)
    | big_q(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[62,44594,theory(equality)]) ).

cnf(45731,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X6))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X6)
    | big_p(esk18_0)
    | ~ big_q(X3)
    | ~ big_p(esk16_0) ),
    inference(csr,[status(thm)],[4688,4495]) ).

cnf(45732,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X6))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X6)
    | big_p(esk18_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[45731,4495]) ).

cnf(47170,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[44597,63]) ).

cnf(47171,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[47170,63]) ).

cnf(47204,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk17_0)
    | big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[47171,44594,theory(equality)]) ).

cnf(47269,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[47204,47171]) ).

cnf(47270,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[47269,47171]) ).

cnf(47314,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[47270,43408,theory(equality)]) ).

cnf(47332,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[44598,62]) ).

cnf(47333,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[47332,62]) ).

cnf(47366,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk17_0)
    | big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[47333,44594,theory(equality)]) ).

cnf(49218,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[47366,47333]) ).

cnf(49219,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[49218,47333]) ).

cnf(49263,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[49219,43408,theory(equality)]) ).

cnf(49319,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2) ),
    inference(spm,[status(thm)],[49263,43408,theory(equality)]) ).

cnf(49329,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[49319,theory(equality)]) ).

cnf(49589,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,49329,theory(equality)]) ).

cnf(49632,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[49589,49329]) ).

cnf(49638,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | epred3_0
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,49632,theory(equality)]) ).

cnf(50297,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[49638,49632,theory(equality)]) ).

cnf(50579,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[50297,43408,theory(equality)]) ).

cnf(50634,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(spm,[status(thm)],[50579,43408,theory(equality)]) ).

cnf(50646,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(esk4_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[50634,theory(equality)]) ).

cnf(51025,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,50646,theory(equality)]) ).

cnf(51083,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[51025,50646]) ).

cnf(51134,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | epred3_0
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_q(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[22,51083,theory(equality)]) ).

cnf(51551,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X5))
    | big_q(esk15_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk18_0)
    | ~ big_p(esk14_0)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[4718,93]) ).

cnf(51552,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X5))
    | big_q(esk15_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk18_0)
    | ~ big_p(esk14_0) ),
    inference(csr,[status(thm)],[51551,4495]) ).

cnf(51553,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X5))
    | big_q(esk15_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[51552,4495]) ).

cnf(51554,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X5))
    | big_q(esk15_0)
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X5)
    | big_q(X1)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[51553,45732]) ).

cnf(51555,negated_conjecture,
    ( big_q(esk19_1(X3))
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(X3)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[51554,theory(equality)]) ).

cnf(51721,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X2))
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(esk18_0)
    | big_q(esk15_0)
    | big_q(X4) ),
    inference(spm,[status(thm)],[45732,51555,theory(equality)]) ).

cnf(51786,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[51134,51083]) ).

cnf(51787,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[51786,51083]) ).

cnf(51788,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(X1)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[51787,51083]) ).

cnf(51831,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(spm,[status(thm)],[51788,43408,theory(equality)]) ).

cnf(51892,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0)
    | big_p(X1) ),
    inference(spm,[status(thm)],[51831,43408,theory(equality)]) ).

cnf(51905,negated_conjecture,
    ( epred3_0
    | big_p(esk4_0) ),
    inference(ef,[status(thm)],[51892,theory(equality)]) ).

cnf(52085,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[47314,51905,theory(equality)]) ).

cnf(52087,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[52085,theory(equality)]) ).

cnf(52350,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[52087,theory(equality)]) ).

cnf(52587,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,52350,theory(equality)]) ).

cnf(52630,negated_conjecture,
    ( epred3_0
    | big_q(esk10_0) ),
    inference(csr,[status(thm)],[52587,52350]) ).

cnf(52633,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | epred3_0
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[71,52630,theory(equality)]) ).

cnf(53443,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X2))
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(esk15_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[51721,51555]) ).

cnf(53444,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk19_1(X2))
    | big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[53443,45732]) ).

cnf(53445,negated_conjecture,
    ( big_q(esk19_1(X4))
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X5)
    | big_q(X4)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[53444,theory(equality)]) ).

cnf(53605,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk24_0)
    | big_q(X3)
    | big_q(esk19_1(X3))
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[53445,theory(equality)]) ).

cnf(53711,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(esk18_0)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[63,53605,theory(equality)]) ).

cnf(53712,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X3)
    | big_p(esk18_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[62,53605,theory(equality)]) ).

cnf(53752,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[52633,51905]) ).

cnf(53794,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[53752,52630,theory(equality)]) ).

cnf(53882,negated_conjecture,
    ( epred3_0
    | big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[53794,43408,theory(equality)]) ).

cnf(53895,negated_conjecture,
    ( epred3_0
    | big_q(X5)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[53882,theory(equality)]) ).

cnf(54217,negated_conjecture,
    ( epred3_0
    | big_q(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[53895,theory(equality)]) ).

cnf(54550,negated_conjecture,
    ( epred3_0
    | big_q(X2)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,54217,theory(equality)]) ).

cnf(54599,negated_conjecture,
    ( epred3_0
    | big_q(X2) ),
    inference(csr,[status(thm)],[54550,54217]) ).

cnf(54648,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | epred3_0
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[23,54599,theory(equality)]) ).

cnf(55307,negated_conjecture,
    ( epred3_0
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[54648,51905]) ).

cnf(55308,negated_conjecture,
    ( epred3_0
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[55307,54599]) ).

cnf(55309,negated_conjecture,
    ( epred3_0
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(esk8_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[55308,54599]) ).

cnf(55310,negated_conjecture,
    ( epred3_0
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[55309,54599]) ).

cnf(55348,negated_conjecture,
    ( epred3_0
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[55310,43408,theory(equality)]) ).

cnf(55358,negated_conjecture,
    ( epred3_0
    | big_p(X3) ),
    inference(ef,[status(thm)],[55348,theory(equality)]) ).

cnf(55576,negated_conjecture,
    ( epred3_0
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[317,55358,theory(equality)]) ).

cnf(55621,negated_conjecture,
    epred3_0,
    inference(csr,[status(thm)],[55576,55358]) ).

cnf(55625,negated_conjecture,
    ( $false
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[2230,55621,theory(equality)]) ).

cnf(55626,negated_conjecture,
    ~ epred1_0,
    inference(cn,[status(thm)],[55625,theory(equality)]) ).

cnf(55765,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[33424,33206]) ).

cnf(55766,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[55765,33206]) ).

cnf(55767,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[55766,33206]) ).

cnf(55776,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2) ),
    inference(spm,[status(thm)],[55767,17089,theory(equality)]) ).

cnf(55873,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(spm,[status(thm)],[55776,17089,theory(equality)]) ).

cnf(55903,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[55873,theory(equality)]) ).

cnf(56030,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[71,55903,theory(equality)]) ).

cnf(59361,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[56030,34735]) ).

cnf(59364,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[59361,17089,theory(equality)]) ).

cnf(59817,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X4)
    | big_p(esk4_0) ),
    inference(spm,[status(thm)],[59364,34735,theory(equality)]) ).

cnf(59845,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[59817,59364]) ).

cnf(59846,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[59845,theory(equality)]) ).

cnf(60202,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[59846,theory(equality)]) ).

cnf(60463,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[60202,theory(equality)]) ).

cnf(60672,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X5)
    | ~ big_q(X3)
    | ~ big_p(esk16_0)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[132,60463,theory(equality)]) ).

cnf(60685,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(X4)
    | big_p(X3)
    | big_p(esk18_0)
    | big_p(X5)
    | ~ big_q(esk24_0) ),
    inference(spm,[status(thm)],[130,60463,theory(equality)]) ).

cnf(60714,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(esk24_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk10_0)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[65,60463,theory(equality)]) ).

cnf(60807,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3)
    | big_p(X5)
    | ~ big_p(esk16_0)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[60672,60463,theory(equality)]) ).

cnf(63201,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk13_1(X3))
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X4)
    | big_p(X3)
    | big_p(X5) ),
    inference(csr,[status(thm)],[60685,60463]) ).

cnf(63202,negated_conjecture,
    ( big_q(X6)
    | big_p(esk13_1(X7))
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X8)
    | big_p(X7)
    | big_p(X9) ),
    inference(ef,[status(thm)],[63201,theory(equality)]) ).

cnf(63541,negated_conjecture,
    ( big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk13_1(X6))
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[63202,theory(equality)]) ).

cnf(63792,negated_conjecture,
    ( big_q(X4)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk13_1(X5))
    | big_p(X5) ),
    inference(ef,[status(thm)],[63541,theory(equality)]) ).

cnf(64065,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(X5)
    | big_p(X4)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[22788,63792,theory(equality)]) ).

cnf(64069,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_q(X5)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[26570,63792,theory(equality)]) ).

cnf(67223,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0) ),
    inference(csr,[status(thm)],[64065,22788]) ).

cnf(67268,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(X5)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[64069,26570]) ).

cnf(67311,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | big_q(X5)
    | big_p(X4) ),
    inference(spm,[status(thm)],[67268,63792,theory(equality)]) ).

cnf(67353,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_q(X5)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(csr,[status(thm)],[67311,67268]) ).

cnf(67354,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X5)
    | big_q(X6)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[67353,theory(equality)]) ).

cnf(67721,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[67354,theory(equality)]) ).

cnf(68017,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[67721,theory(equality)]) ).

cnf(68302,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | big_q(esk10_0)
    | big_p(esk4_0)
    | ~ big_p(esk16_0) ),
    inference(spm,[status(thm)],[60807,68017,theory(equality)]) ).

cnf(71721,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[68302,68017]) ).

cnf(71722,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[71721,67223]) ).

cnf(71723,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X5)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[71722,theory(equality)]) ).

cnf(72073,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[71723,theory(equality)]) ).

cnf(72316,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[72073,theory(equality)]) ).

cnf(72500,negated_conjecture,
    ( big_q(esk15_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_q(esk10_0)
    | big_p(esk18_0)
    | ~ big_q(esk24_0)
    | ~ big_p(esk14_0)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[129,72316,theory(equality)]) ).

cnf(72519,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[57,72316,theory(equality)]) ).

cnf(72693,negated_conjecture,
    ( big_q(esk15_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(esk24_0)
    | ~ big_p(esk14_0) ),
    inference(csr,[status(thm)],[72500,72316]) ).

cnf(72694,negated_conjecture,
    ( big_q(esk15_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(esk24_0) ),
    inference(csr,[status(thm)],[72693,72316]) ).

cnf(72695,negated_conjecture,
    ( big_q(esk15_0)
    | big_q(esk10_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[72694,55903]) ).

cnf(72831,negated_conjecture,
    ( epred1_0
    | big_q(esk10_0)
    | big_q(esk15_0)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X1)
    | ~ big_p(esk2_0) ),
    inference(spm,[status(thm)],[313,72695,theory(equality)]) ).

cnf(72882,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk15_0)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X1)
    | ~ big_p(esk2_0) ),
    inference(sr,[status(thm)],[72831,55626,theory(equality)]) ).

cnf(72892,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk15_0)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X1) ),
    inference(csr,[status(thm)],[72882,72316]) ).

cnf(72893,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk15_0)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0) ),
    inference(csr,[status(thm)],[72892,72695]) ).

cnf(72894,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk15_0)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(csr,[status(thm)],[72893,72695]) ).

cnf(72895,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk15_0)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[72894,theory(equality)]) ).

cnf(73295,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[72519,72316]) ).

cnf(73296,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[73295,72316]) ).

cnf(73297,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[73296,72316]) ).

cnf(73332,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X2) ),
    inference(spm,[status(thm)],[73297,72895,theory(equality)]) ).

cnf(73372,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(spm,[status(thm)],[73332,72895,theory(equality)]) ).

cnf(73373,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(ef,[status(thm)],[73372,theory(equality)]) ).

cnf(73505,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,73373,theory(equality)]) ).

cnf(73827,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[73505,73373,theory(equality)]) ).

cnf(73870,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | big_q(X6)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[73827,63792,theory(equality)]) ).

cnf(74340,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X6)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[73870,73827]) ).

cnf(74377,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X4)
    | big_q(X6)
    | big_p(X5) ),
    inference(spm,[status(thm)],[74340,63792,theory(equality)]) ).

cnf(74398,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X4) ),
    inference(csr,[status(thm)],[74377,74340]) ).

cnf(74399,negated_conjecture,
    ( big_q(X6)
    | big_q(X7)
    | big_q(X8)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X9) ),
    inference(ef,[status(thm)],[74398,theory(equality)]) ).

cnf(74851,negated_conjecture,
    ( big_q(X5)
    | big_q(X6)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk4_0)
    | big_p(X7) ),
    inference(ef,[status(thm)],[74399,theory(equality)]) ).

cnf(75619,negated_conjecture,
    ( big_q(X4)
    | big_p(esk4_0)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[74851,theory(equality)]) ).

cnf(80613,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk10_0)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[60714,60463]) ).

cnf(80614,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk10_0)
    | ~ big_q(X3)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[80613,60463]) ).

cnf(80615,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk10_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[80614,60463]) ).

cnf(80616,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[80615,73373]) ).

cnf(80619,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(spm,[status(thm)],[80616,17089,theory(equality)]) ).

cnf(80665,negated_conjecture,
    ( big_q(esk24_0)
    | big_q(X3)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(ef,[status(thm)],[80619,theory(equality)]) ).

cnf(80897,negated_conjecture,
    ( big_q(esk24_0)
    | big_p(esk23_0)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[80665,theory(equality)]) ).

cnf(81036,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | ~ big_q(X3)
    | ~ big_p(esk16_0)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[132,80897,theory(equality)]) ).

cnf(81098,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_p(esk16_0)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[81036,73373,theory(equality)]) ).

cnf(81161,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_q(X4)
    | big_p(esk4_0)
    | ~ big_p(esk16_0) ),
    inference(spm,[status(thm)],[81098,75619,theory(equality)]) ).

cnf(81551,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X4)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[81161,75619]) ).

cnf(81552,negated_conjecture,
    ( big_q(X4)
    | big_q(X5)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0) ),
    inference(ef,[status(thm)],[81551,theory(equality)]) ).

cnf(81846,negated_conjecture,
    ( big_q(X3)
    | big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(ef,[status(thm)],[81552,theory(equality)]) ).

cnf(82089,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_q(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[22,81846,theory(equality)]) ).

cnf(82095,negated_conjecture,
    ( big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(X2)
    | big_p(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk20_0)
    | ~ big_q(X4)
    | ~ big_q(X3) ),
    inference(spm,[status(thm)],[82,81846,theory(equality)]) ).

cnf(82106,negated_conjecture,
    ( epred1_0
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X1)
    | ~ big_p(esk2_0) ),
    inference(spm,[status(thm)],[313,81846,theory(equality)]) ).

cnf(82135,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_q(X1)
    | ~ big_p(esk2_0) ),
    inference(sr,[status(thm)],[82106,55626,theory(equality)]) ).

cnf(82136,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_q(esk8_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[82135,81846]) ).

cnf(82137,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[82136,81846]) ).

cnf(83030,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[82089,81846]) ).

cnf(83031,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | ~ big_q(esk8_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[83030,81846]) ).

cnf(83032,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[83031,81846]) ).

cnf(83743,negated_conjecture,
    ( big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk20_0)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[82095,81846]) ).

cnf(83744,negated_conjecture,
    ( big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1)
    | ~ big_q(esk20_0) ),
    inference(csr,[status(thm)],[83743,81846]) ).

cnf(83745,negated_conjecture,
    ( big_p(esk13_1(X1))
    | big_p(esk21_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X2)
    | big_p(X1) ),
    inference(csr,[status(thm)],[83744,81846]) ).

cnf(83746,negated_conjecture,
    ( big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(esk21_0)
    | big_p(X3)
    | big_p(esk13_1(X3)) ),
    inference(ef,[status(thm)],[83745,theory(equality)]) ).

cnf(83902,negated_conjecture,
    ( big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X1)
    | big_p(esk21_0)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[83032,83746,theory(equality)]) ).

cnf(83904,negated_conjecture,
    ( big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(esk21_0)
    | big_p(X1)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[83902,83032]) ).

cnf(83905,negated_conjecture,
    ( big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X1)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[83904,83032]) ).

cnf(83960,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1)
    | big_p(esk21_0)
    | big_p(X2) ),
    inference(spm,[status(thm)],[83905,83746,theory(equality)]) ).

cnf(83961,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(esk21_0)
    | big_p(X1) ),
    inference(csr,[status(thm)],[83960,83905]) ).

cnf(83962,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(esk23_0)
    | big_p(X1) ),
    inference(csr,[status(thm)],[83961,83905]) ).

cnf(84073,negated_conjecture,
    ( big_p(esk23_0)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(spm,[status(thm)],[82137,83962,theory(equality)]) ).

cnf(87642,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[53711,63]) ).

cnf(87643,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[87642,63]) ).

cnf(87644,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[87643,63]) ).

cnf(87651,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X4)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[87644,53605,theory(equality)]) ).

cnf(87704,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[87651,87644]) ).

cnf(87705,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[87704,87644]) ).

cnf(87706,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[87705,87644]) ).

cnf(87849,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[53712,62]) ).

cnf(87850,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[87849,62]) ).

cnf(87851,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[87850,62]) ).

cnf(87858,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[87851,53605,theory(equality)]) ).

cnf(87917,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[87858,87851]) ).

cnf(87918,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[87917,87851]) ).

cnf(87919,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[87918,87851]) ).

cnf(87961,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[87919,84073,theory(equality)]) ).

cnf(88013,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X2) ),
    inference(spm,[status(thm)],[87961,84073,theory(equality)]) ).

cnf(88024,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[88013,theory(equality)]) ).

cnf(88244,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[57,88024,theory(equality)]) ).

cnf(88416,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[88244,62]) ).

cnf(88417,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[88416,88024]) ).

cnf(88418,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[88417,88024]) ).

cnf(88425,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | ~ big_q(X3) ),
    inference(spm,[status(thm)],[88418,53605,theory(equality)]) ).

cnf(88471,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[88425,88418]) ).

cnf(88472,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[88471,88418]) ).

cnf(88473,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[88472,88418]) ).

cnf(88480,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2) ),
    inference(spm,[status(thm)],[88473,53605,theory(equality)]) ).

cnf(88526,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[88480,88473]) ).

cnf(88527,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[88526,88473]) ).

cnf(88528,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(csr,[status(thm)],[88527,88473]) ).

cnf(88529,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[88528,theory(equality)]) ).

cnf(88671,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(esk18_0)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,88529,theory(equality)]) ).

cnf(88772,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[88671,88529,theory(equality)]) ).

cnf(88820,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[88772,84073,theory(equality)]) ).

cnf(88872,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(spm,[status(thm)],[88820,84073,theory(equality)]) ).

cnf(88883,negated_conjecture,
    ( big_q(X4)
    | big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[88872,theory(equality)]) ).

cnf(89202,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(esk18_0)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_q(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[22,88883,theory(equality)]) ).

cnf(91148,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[89202,88883]) ).

cnf(91149,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[91148,88883]) ).

cnf(91150,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X6)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[91149,88883]) ).

cnf(91191,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[91150,84073,theory(equality)]) ).

cnf(91259,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(esk18_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[91191,84073,theory(equality)]) ).

cnf(91281,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[91259,theory(equality)]) ).

cnf(91463,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(esk4_0) ),
    inference(ef,[status(thm)],[91281,theory(equality)]) ).

cnf(91598,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[87706,91463,theory(equality)]) ).

cnf(92446,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[91598,91463]) ).

cnf(92447,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[92446,theory(equality)]) ).

cnf(92661,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[92447,theory(equality)]) ).

cnf(92828,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[57,92661,theory(equality)]) ).

cnf(94244,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[92828,92661]) ).

cnf(94245,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[94244,92661]) ).

cnf(94246,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[94245,92661]) ).

cnf(94253,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2)
    | ~ big_q(X3) ),
    inference(spm,[status(thm)],[94246,53605,theory(equality)]) ).

cnf(94307,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[94253,94246]) ).

cnf(94308,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[94307,94246]) ).

cnf(94309,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[94308,94246]) ).

cnf(94316,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X2) ),
    inference(spm,[status(thm)],[94309,53605,theory(equality)]) ).

cnf(94366,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[94316,94309]) ).

cnf(94367,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk24_0)
    | big_q(X1)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[94366,94309]) ).

cnf(94368,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk18_0) ),
    inference(csr,[status(thm)],[94367,94309]) ).

cnf(94369,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk18_0) ),
    inference(ef,[status(thm)],[94368,theory(equality)]) ).

cnf(94499,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(esk18_0)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[71,94369,theory(equality)]) ).

cnf(94953,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[94499,91463]) ).

cnf(94996,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[94953,94369,theory(equality)]) ).

cnf(95062,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk18_0)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[94996,91463,theory(equality)]) ).

cnf(95069,negated_conjecture,
    ( big_q(X5)
    | big_p(esk18_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[95062,theory(equality)]) ).

cnf(95341,negated_conjecture,
    ( big_q(X4)
    | big_p(esk18_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[95069,theory(equality)]) ).

cnf(95575,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk18_0)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(esk4_0)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[23,95341,theory(equality)]) ).

cnf(96177,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[95575,91463]) ).

cnf(96178,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[96177,95341]) ).

cnf(96179,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[96178,95341]) ).

cnf(96180,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[96179,95341]) ).

cnf(96233,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[96180,91463,theory(equality)]) ).

cnf(96235,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[96233,theory(equality)]) ).

cnf(96462,negated_conjecture,
    ( big_p(esk18_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[96235,theory(equality)]) ).

cnf(96615,negated_conjecture,
    big_p(esk18_0),
    inference(ef,[status(thm)],[96462,theory(equality)]) ).

cnf(96742,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4)
    | $false
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[95,96615,theory(equality)]) ).

cnf(96743,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(cn,[status(thm)],[96742,theory(equality)]) ).

cnf(97712,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk17_0)
    | big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[96743,96615,theory(equality)]) ).

cnf(97763,negated_conjecture,
    ( big_q(esk17_0)
    | big_q(esk19_1(X5))
    | big_q(X5)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[97712,theory(equality)]) ).

cnf(97916,negated_conjecture,
    ( big_q(esk19_1(X4))
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[97763,theory(equality)]) ).

cnf(98017,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(X7)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[63,97916,theory(equality)]) ).

cnf(98018,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_q(esk17_0)
    | big_q(X3)
    | big_p(X7)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[62,97916,theory(equality)]) ).

cnf(100459,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X7)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[98017,63]) ).

cnf(100460,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X7)
    | ~ big_q(X5)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[100459,63]) ).

cnf(100472,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_q(esk17_0)
    | big_q(X5)
    | big_p(X7)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[100460,97916,theory(equality)]) ).

cnf(100528,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_p(X7)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[98018,62]) ).

cnf(100529,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_p(X7)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[100528,62]) ).

cnf(100541,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_p(X3)
    | big_q(esk17_0)
    | big_q(X4)
    | big_p(X7)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[100529,97916,theory(equality)]) ).

cnf(108342,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X7)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[100472,100460]) ).

cnf(108343,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X7)
    | ~ big_p(esk4_0)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[108342,100460]) ).

cnf(108344,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(esk4_0) ),
    inference(spm,[status(thm)],[108343,96615,theory(equality)]) ).

cnf(108443,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk17_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X7)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[100541,100529]) ).

cnf(108444,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X7)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[108443,100529]) ).

cnf(108445,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[108444,96615,theory(equality)]) ).

cnf(108458,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(esk4_0)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[108445,96615,theory(equality)]) ).

cnf(108467,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(X5)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[108458,theory(equality)]) ).

cnf(108628,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[108467,theory(equality)]) ).

cnf(108720,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(esk4_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[108628,theory(equality)]) ).

cnf(108790,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(X7)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[70,108720,theory(equality)]) ).

cnf(109324,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(X4)
    | big_p(X7)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[108790,108720,theory(equality)]) ).

cnf(109402,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[109324,96615,theory(equality)]) ).

cnf(109419,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(esk4_0)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[109402,96615,theory(equality)]) ).

cnf(109432,negated_conjecture,
    ( big_q(X6)
    | big_p(esk4_0)
    | big_p(X7)
    | big_p(X8)
    | big_p(X9) ),
    inference(ef,[status(thm)],[109419,theory(equality)]) ).

cnf(109640,negated_conjecture,
    ( big_q(X5)
    | big_p(esk4_0)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[109432,theory(equality)]) ).

cnf(109775,negated_conjecture,
    ( big_q(X4)
    | big_p(esk4_0)
    | big_p(X5) ),
    inference(ef,[status(thm)],[109640,theory(equality)]) ).

cnf(109909,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_q(X2)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[22,109775,theory(equality)]) ).

cnf(110059,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[109909,109775]) ).

cnf(110060,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[110059,109775]) ).

cnf(110061,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(X6)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[110060,109775]) ).

cnf(110062,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[110061,96615,theory(equality)]) ).

cnf(110080,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[110062,96615,theory(equality)]) ).

cnf(110091,negated_conjecture,
    ( big_p(esk4_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[110080,theory(equality)]) ).

cnf(110150,negated_conjecture,
    big_p(esk4_0),
    inference(ef,[status(thm)],[110091,theory(equality)]) ).

cnf(110181,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | $false ),
    inference(rw,[status(thm)],[108344,110150,theory(equality)]) ).

cnf(110182,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(cn,[status(thm)],[110181,theory(equality)]) ).

cnf(110188,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | ~ big_q(esk7_1(X3))
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | $false
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[23,110150,theory(equality)]) ).

cnf(110189,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | ~ big_q(esk7_1(X3))
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(X5) ),
    inference(cn,[status(thm)],[110188,theory(equality)]) ).

cnf(110205,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(esk10_0)
    | ~ big_q(X5)
    | $false
    | ~ big_p(X6) ),
    inference(rw,[status(thm)],[71,110150,theory(equality)]) ).

cnf(110206,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(esk10_0)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(cn,[status(thm)],[110205,theory(equality)]) ).

cnf(110211,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(X6)
    | big_p(X7)
    | big_p(X8)
    | big_p(X9) ),
    inference(ef,[status(thm)],[110182,theory(equality)]) ).

cnf(110366,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(X5)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[110211,theory(equality)]) ).

cnf(110480,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[110366,theory(equality)]) ).

cnf(110560,negated_conjecture,
    ( big_q(esk10_0)
    | big_p(X3) ),
    inference(ef,[status(thm)],[110480,theory(equality)]) ).

cnf(110943,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[110206,110560]) ).

cnf(110946,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X6)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[110943,110560,theory(equality)]) ).

cnf(110949,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[110946,96615,theory(equality)]) ).

cnf(110958,negated_conjecture,
    ( big_q(X6)
    | big_p(X7)
    | big_p(X8)
    | big_p(X9) ),
    inference(ef,[status(thm)],[110949,theory(equality)]) ).

cnf(111067,negated_conjecture,
    ( big_q(X5)
    | big_p(X6)
    | big_p(X7) ),
    inference(ef,[status(thm)],[110958,theory(equality)]) ).

cnf(111137,negated_conjecture,
    ( big_q(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[111067,theory(equality)]) ).

cnf(111198,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_q(X3)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[110189,111137,theory(equality)]) ).

cnf(111257,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[111198,111137]) ).

cnf(111258,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_q(esk8_0)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[111257,111137]) ).

cnf(111259,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(X6)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[111258,111137]) ).

cnf(111260,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[111259,96615,theory(equality)]) ).

cnf(111264,negated_conjecture,
    ( big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[111260,theory(equality)]) ).

cnf(111294,negated_conjecture,
    big_p(X3),
    inference(ef,[status(thm)],[111264,theory(equality)]) ).

cnf(111322,negated_conjecture,
    ( epred1_0
    | ~ big_q(esk7_1(X1))
    | ~ big_q(esk8_0)
    | ~ big_q(X1)
    | $false ),
    inference(rw,[status(thm)],[313,111294,theory(equality)]) ).

cnf(111323,negated_conjecture,
    ( epred1_0
    | ~ big_q(esk7_1(X1))
    | ~ big_q(esk8_0)
    | ~ big_q(X1) ),
    inference(cn,[status(thm)],[111322,theory(equality)]) ).

cnf(111324,negated_conjecture,
    ( ~ big_q(esk7_1(X1))
    | ~ big_q(esk8_0)
    | ~ big_q(X1) ),
    inference(sr,[status(thm)],[111323,55626,theory(equality)]) ).

cnf(111335,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | $false
    | ~ big_p(esk14_0)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(rw,[status(thm)],[89,111294,theory(equality)]) ).

cnf(111336,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | $false
    | $false
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(rw,[status(thm)],[111335,111294,theory(equality)]) ).

cnf(111337,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | $false
    | $false
    | $false
    | ~ big_p(X4) ),
    inference(rw,[status(thm)],[111336,111294,theory(equality)]) ).

cnf(111338,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1)
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[111337,111294,theory(equality)]) ).

cnf(111339,negated_conjecture,
    ( big_q(esk19_1(X1))
    | big_q(esk15_0)
    | big_q(X2)
    | big_q(X1) ),
    inference(cn,[status(thm)],[111338,theory(equality)]) ).

cnf(111340,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | $false
    | ~ big_p(esk2_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[57,111294,theory(equality)]) ).

cnf(111341,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | $false
    | $false
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[111340,111294,theory(equality)]) ).

cnf(111342,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | $false
    | $false
    | $false
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[111341,111294,theory(equality)]) ).

cnf(111343,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | ~ big_q(X2)
    | ~ big_q(X3)
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[111342,111294,theory(equality)]) ).

cnf(111344,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(cn,[status(thm)],[111343,theory(equality)]) ).

cnf(111345,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(esk10_0)
    | ~ big_q(X3)
    | $false
    | ~ big_p(esk2_0)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[65,111294,theory(equality)]) ).

cnf(111346,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(esk10_0)
    | ~ big_q(X3)
    | $false
    | $false
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[111345,111294,theory(equality)]) ).

cnf(111347,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(esk10_0)
    | ~ big_q(X3)
    | $false
    | $false
    | $false
    | ~ big_p(X5) ),
    inference(rw,[status(thm)],[111346,111294,theory(equality)]) ).

cnf(111348,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(esk10_0)
    | ~ big_q(X3)
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[111347,111294,theory(equality)]) ).

cnf(111349,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(esk10_0)
    | ~ big_q(X3) ),
    inference(cn,[status(thm)],[111348,theory(equality)]) ).

cnf(111360,negated_conjecture,
    ( big_q(esk15_0)
    | big_q(X3)
    | big_q(esk19_1(X3)) ),
    inference(ef,[status(thm)],[111339,theory(equality)]) ).

cnf(111366,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(esk15_0)
    | big_q(X2)
    | ~ big_q(X3) ),
    inference(spm,[status(thm)],[111344,111360,theory(equality)]) ).

cnf(111372,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk15_0)
    | big_q(X1)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[111366,111344]) ).

cnf(111373,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | ~ big_q(X3) ),
    inference(csr,[status(thm)],[111372,111344]) ).

cnf(111374,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1)
    | big_q(esk15_0)
    | big_q(X2) ),
    inference(spm,[status(thm)],[111373,111360,theory(equality)]) ).

cnf(111376,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(esk15_0)
    | big_q(X1) ),
    inference(csr,[status(thm)],[111374,111373]) ).

cnf(111377,negated_conjecture,
    ( big_q(esk10_0)
    | big_q(X1) ),
    inference(csr,[status(thm)],[111376,111373]) ).

cnf(111378,negated_conjecture,
    big_q(esk10_0),
    inference(ef,[status(thm)],[111377,theory(equality)]) ).

cnf(111386,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | $false
    | ~ big_q(X3) ),
    inference(rw,[status(thm)],[111349,111378,theory(equality)]) ).

cnf(111387,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(X3) ),
    inference(cn,[status(thm)],[111386,theory(equality)]) ).

cnf(111388,negated_conjecture,
    ( big_q(X1)
    | big_q(X2) ),
    inference(spm,[status(thm)],[111387,111378,theory(equality)]) ).

cnf(111390,negated_conjecture,
    big_q(X3),
    inference(ef,[status(thm)],[111388,theory(equality)]) ).

cnf(111398,negated_conjecture,
    ( $false
    | ~ big_q(esk8_0)
    | ~ big_q(X1) ),
    inference(rw,[status(thm)],[111324,111390,theory(equality)]) ).

cnf(111399,negated_conjecture,
    ( $false
    | $false
    | ~ big_q(X1) ),
    inference(rw,[status(thm)],[111398,111390,theory(equality)]) ).

cnf(111400,negated_conjecture,
    ( $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[111399,111390,theory(equality)]) ).

cnf(111401,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[111400,theory(equality)]) ).

cnf(111402,negated_conjecture,
    $false,
    111401,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN036+2.p
% --creating new selector for []
% -running prover on /tmp/tmpJM-y1w/sel_SYN036+2.p_1 with time limit 29
% -prover status Theorem
% Problem SYN036+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN036+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN036+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------