TSTP Solution File: SYN532+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN532+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:08:18 EDT 2023

% Result   : CounterSatisfiable 1.39s 1.16s
% Output   : Saturation 1.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f147)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( c4_0
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c5_1(X19) ) )
        | ( c2_1(a441)
          & ! [X18] :
              ( ndr1_1(a441)
             => ( ~ c4_2(a441,X18)
                | c5_2(a441,X18) ) )
          & ~ c1_2(a441,a442)
          & c3_2(a441,a442)
          & ndr1_1(a441)
          & ndr1_0 ) )
      & ( ( c4_1(a440)
          & ~ c5_1(a440)
          & ! [X17] :
              ( ndr1_1(a440)
             => ( c4_2(a440,X17)
                | ~ c3_2(a440,X17)
                | c2_2(a440,X17) ) )
          & ndr1_0 )
        | c1_0
        | c5_0 )
      & ( c3_0
        | ( ! [X16] :
              ( ndr1_1(a439)
             => ( c3_2(a439,X16)
                | c5_2(a439,X16) ) )
          & c5_1(a439)
          & ndr1_0 ) )
      & ( ( c2_1(a438)
          & c1_1(a438)
          & ~ c5_1(a438)
          & ndr1_0 )
        | ( c4_1(a437)
          & ndr1_0 )
        | ( c3_2(a434,a436)
          & ~ c5_2(a434,a436)
          & ndr1_1(a434)
          & c3_2(a434,a435)
          & c4_2(a434,a435)
          & c5_2(a434,a435)
          & ndr1_1(a434)
          & ! [X15] :
              ( ndr1_1(a434)
             => ( ~ c3_2(a434,X15)
                | c2_2(a434,X15)
                | ~ c4_2(a434,X15) ) )
          & ndr1_0 ) )
      & ( c1_0
        | ~ c3_0 )
      & ( c5_0
        | ( ~ c2_2(a432,a433)
          & ~ c3_2(a432,a433)
          & ndr1_1(a432)
          & ~ c1_1(a432)
          & ! [X14] :
              ( ndr1_1(a432)
             => ( c4_2(a432,X14)
                | c5_2(a432,X14)
                | ~ c2_2(a432,X14) ) )
          & ndr1_0 )
        | c1_0 )
      & ( ( ~ c1_1(a431)
          & c3_1(a431)
          & ndr1_0 )
        | ! [X13] :
            ( ndr1_0
           => ( ( c5_2(X13,a430)
                & ~ c4_2(X13,a430)
                & c1_2(X13,a430)
                & ndr1_1(X13) )
              | ( ~ c5_2(X13,a429)
                & ~ c4_2(X13,a429)
                & c1_2(X13,a429)
                & ndr1_1(X13) )
              | ( ~ c3_2(X13,a428)
                & ~ c4_2(X13,a428)
                & ndr1_1(X13) ) ) )
        | ( c2_2(a425,a427)
          & ~ c3_2(a425,a427)
          & ~ c5_2(a425,a427)
          & ndr1_1(a425)
          & ~ c3_1(a425)
          & ~ c5_2(a425,a426)
          & c4_2(a425,a426)
          & ~ c2_2(a425,a426)
          & ndr1_1(a425)
          & ndr1_0 ) )
      & ( c1_0
        | ~ c3_0
        | c4_0 )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c4_1(X12)
              | c2_1(X12)
              | c5_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ( ~ c5_2(X11,a424)
                & ~ c3_2(X11,a424)
                & c2_2(X11,a424)
                & ndr1_1(X11) )
              | c3_1(X11)
              | c2_1(X11) ) )
        | c5_0 )
      & ( ~ c3_0
        | ( ~ c4_1(a422)
          & ~ c2_2(a422,a423)
          & c5_2(a422,a423)
          & c1_2(a422,a423)
          & ndr1_1(a422)
          & ~ c2_1(a422)
          & ndr1_0 )
        | c1_0 )
      & ( c2_0
        | ~ c3_0
        | c5_0 )
      & ( c5_0
        | ~ c4_0
        | c1_0 )
      & ( ~ c5_0
        | ~ c3_0
        | ~ c1_0 )
      & ( ~ c3_0
        | c4_0
        | ! [X8] :
            ( ndr1_0
           => ( ! [X10] :
                  ( ndr1_1(X8)
                 => ( c1_2(X8,X10)
                    | ~ c3_2(X8,X10)
                    | ~ c2_2(X8,X10) ) )
              | ! [X9] :
                  ( ndr1_1(X8)
                 => ( c5_2(X8,X9)
                    | ~ c2_2(X8,X9)
                    | ~ c4_2(X8,X9) ) ) ) ) )
      & ( c4_0
        | ( c5_1(a420)
          & c4_1(a420)
          & c1_2(a420,a421)
          & ~ c4_2(a420,a421)
          & ndr1_1(a420)
          & ndr1_0 ) )
      & ( ( ~ c3_2(a418,a419)
          & ~ c5_2(a418,a419)
          & c4_2(a418,a419)
          & ndr1_1(a418)
          & c2_1(a418)
          & ndr1_0 )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ( c2_2(X7,a417)
                & ~ c4_2(X7,a417)
                & ndr1_1(X7) ) ) )
        | ( ! [X6] :
              ( ndr1_1(a416)
             => c5_2(a416,X6) )
          & c2_1(a416)
          & ! [X5] :
              ( ndr1_1(a416)
             => ( ~ c2_2(a416,X5)
                | ~ c5_2(a416,X5) ) )
          & ndr1_0 ) )
      & ( ( c5_1(a415)
          & ~ c4_1(a415)
          & c2_1(a415)
          & ndr1_0 )
        | ~ c5_0
        | ~ c4_0 )
      & ( ( ! [X4] :
              ( ndr1_1(a413)
             => ( ~ c1_2(a413,X4)
                | c5_2(a413,X4) ) )
          & c1_2(a413,a414)
          & ~ c5_2(a413,a414)
          & ~ c3_2(a413,a414)
          & ndr1_1(a413)
          & ~ c2_1(a413)
          & ndr1_0 )
        | ( ~ c2_1(a412)
          & ! [X3] :
              ( ndr1_1(a412)
             => ( c3_2(a412,X3)
                | ~ c2_2(a412,X3) ) )
          & ~ c4_1(a412)
          & ndr1_0 )
        | ! [X2] :
            ( ndr1_0
           => ~ c2_1(X2) ) )
      & ( ~ c4_0
        | ~ c3_0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c5_1(X1) ) ) )
      & ( ( c1_1(a411)
          & c2_1(a411)
          & ! [X0] :
              ( ndr1_1(a411)
             => ( c5_2(a411,X0)
                | c3_2(a411,X0)
                | c1_2(a411,X0) ) )
          & ndr1_0 )
        | c5_0
        | ~ c3_0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( c4_0
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c5_1(X19) ) )
          | ( c2_1(a441)
            & ! [X18] :
                ( ndr1_1(a441)
               => ( ~ c4_2(a441,X18)
                  | c5_2(a441,X18) ) )
            & ~ c1_2(a441,a442)
            & c3_2(a441,a442)
            & ndr1_1(a441)
            & ndr1_0 ) )
        & ( ( c4_1(a440)
            & ~ c5_1(a440)
            & ! [X17] :
                ( ndr1_1(a440)
               => ( c4_2(a440,X17)
                  | ~ c3_2(a440,X17)
                  | c2_2(a440,X17) ) )
            & ndr1_0 )
          | c1_0
          | c5_0 )
        & ( c3_0
          | ( ! [X16] :
                ( ndr1_1(a439)
               => ( c3_2(a439,X16)
                  | c5_2(a439,X16) ) )
            & c5_1(a439)
            & ndr1_0 ) )
        & ( ( c2_1(a438)
            & c1_1(a438)
            & ~ c5_1(a438)
            & ndr1_0 )
          | ( c4_1(a437)
            & ndr1_0 )
          | ( c3_2(a434,a436)
            & ~ c5_2(a434,a436)
            & ndr1_1(a434)
            & c3_2(a434,a435)
            & c4_2(a434,a435)
            & c5_2(a434,a435)
            & ndr1_1(a434)
            & ! [X15] :
                ( ndr1_1(a434)
               => ( ~ c3_2(a434,X15)
                  | c2_2(a434,X15)
                  | ~ c4_2(a434,X15) ) )
            & ndr1_0 ) )
        & ( c1_0
          | ~ c3_0 )
        & ( c5_0
          | ( ~ c2_2(a432,a433)
            & ~ c3_2(a432,a433)
            & ndr1_1(a432)
            & ~ c1_1(a432)
            & ! [X14] :
                ( ndr1_1(a432)
               => ( c4_2(a432,X14)
                  | c5_2(a432,X14)
                  | ~ c2_2(a432,X14) ) )
            & ndr1_0 )
          | c1_0 )
        & ( ( ~ c1_1(a431)
            & c3_1(a431)
            & ndr1_0 )
          | ! [X13] :
              ( ndr1_0
             => ( ( c5_2(X13,a430)
                  & ~ c4_2(X13,a430)
                  & c1_2(X13,a430)
                  & ndr1_1(X13) )
                | ( ~ c5_2(X13,a429)
                  & ~ c4_2(X13,a429)
                  & c1_2(X13,a429)
                  & ndr1_1(X13) )
                | ( ~ c3_2(X13,a428)
                  & ~ c4_2(X13,a428)
                  & ndr1_1(X13) ) ) )
          | ( c2_2(a425,a427)
            & ~ c3_2(a425,a427)
            & ~ c5_2(a425,a427)
            & ndr1_1(a425)
            & ~ c3_1(a425)
            & ~ c5_2(a425,a426)
            & c4_2(a425,a426)
            & ~ c2_2(a425,a426)
            & ndr1_1(a425)
            & ndr1_0 ) )
        & ( c1_0
          | ~ c3_0
          | c4_0 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c4_1(X12)
                | c2_1(X12)
                | c5_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ( ~ c5_2(X11,a424)
                  & ~ c3_2(X11,a424)
                  & c2_2(X11,a424)
                  & ndr1_1(X11) )
                | c3_1(X11)
                | c2_1(X11) ) )
          | c5_0 )
        & ( ~ c3_0
          | ( ~ c4_1(a422)
            & ~ c2_2(a422,a423)
            & c5_2(a422,a423)
            & c1_2(a422,a423)
            & ndr1_1(a422)
            & ~ c2_1(a422)
            & ndr1_0 )
          | c1_0 )
        & ( c2_0
          | ~ c3_0
          | c5_0 )
        & ( c5_0
          | ~ c4_0
          | c1_0 )
        & ( ~ c5_0
          | ~ c3_0
          | ~ c1_0 )
        & ( ~ c3_0
          | c4_0
          | ! [X8] :
              ( ndr1_0
             => ( ! [X10] :
                    ( ndr1_1(X8)
                   => ( c1_2(X8,X10)
                      | ~ c3_2(X8,X10)
                      | ~ c2_2(X8,X10) ) )
                | ! [X9] :
                    ( ndr1_1(X8)
                   => ( c5_2(X8,X9)
                      | ~ c2_2(X8,X9)
                      | ~ c4_2(X8,X9) ) ) ) ) )
        & ( c4_0
          | ( c5_1(a420)
            & c4_1(a420)
            & c1_2(a420,a421)
            & ~ c4_2(a420,a421)
            & ndr1_1(a420)
            & ndr1_0 ) )
        & ( ( ~ c3_2(a418,a419)
            & ~ c5_2(a418,a419)
            & c4_2(a418,a419)
            & ndr1_1(a418)
            & c2_1(a418)
            & ndr1_0 )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ( c2_2(X7,a417)
                  & ~ c4_2(X7,a417)
                  & ndr1_1(X7) ) ) )
          | ( ! [X6] :
                ( ndr1_1(a416)
               => c5_2(a416,X6) )
            & c2_1(a416)
            & ! [X5] :
                ( ndr1_1(a416)
               => ( ~ c2_2(a416,X5)
                  | ~ c5_2(a416,X5) ) )
            & ndr1_0 ) )
        & ( ( c5_1(a415)
            & ~ c4_1(a415)
            & c2_1(a415)
            & ndr1_0 )
          | ~ c5_0
          | ~ c4_0 )
        & ( ( ! [X4] :
                ( ndr1_1(a413)
               => ( ~ c1_2(a413,X4)
                  | c5_2(a413,X4) ) )
            & c1_2(a413,a414)
            & ~ c5_2(a413,a414)
            & ~ c3_2(a413,a414)
            & ndr1_1(a413)
            & ~ c2_1(a413)
            & ndr1_0 )
          | ( ~ c2_1(a412)
            & ! [X3] :
                ( ndr1_1(a412)
               => ( c3_2(a412,X3)
                  | ~ c2_2(a412,X3) ) )
            & ~ c4_1(a412)
            & ndr1_0 )
          | ! [X2] :
              ( ndr1_0
             => ~ c2_1(X2) ) )
        & ( ~ c4_0
          | ~ c3_0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c5_1(X1) ) ) )
        & ( ( c1_1(a411)
            & c2_1(a411)
            & ! [X0] :
                ( ndr1_1(a411)
               => ( c5_2(a411,X0)
                  | c3_2(a411,X0)
                  | c1_2(a411,X0) ) )
            & ndr1_0 )
          | c5_0
          | ~ c3_0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( c4_0
          | ! [X0] :
              ( ndr1_0
             => ( ~ c1_1(X0)
                | c2_1(X0)
                | c5_1(X0) ) )
          | ( c2_1(a441)
            & ! [X1] :
                ( ndr1_1(a441)
               => ( ~ c4_2(a441,X1)
                  | c5_2(a441,X1) ) )
            & ~ c1_2(a441,a442)
            & c3_2(a441,a442)
            & ndr1_1(a441)
            & ndr1_0 ) )
        & ( ( c4_1(a440)
            & ~ c5_1(a440)
            & ! [X2] :
                ( ndr1_1(a440)
               => ( c4_2(a440,X2)
                  | ~ c3_2(a440,X2)
                  | c2_2(a440,X2) ) )
            & ndr1_0 )
          | c1_0
          | c5_0 )
        & ( c3_0
          | ( ! [X3] :
                ( ndr1_1(a439)
               => ( c3_2(a439,X3)
                  | c5_2(a439,X3) ) )
            & c5_1(a439)
            & ndr1_0 ) )
        & ( ( c2_1(a438)
            & c1_1(a438)
            & ~ c5_1(a438)
            & ndr1_0 )
          | ( c4_1(a437)
            & ndr1_0 )
          | ( c3_2(a434,a436)
            & ~ c5_2(a434,a436)
            & ndr1_1(a434)
            & c3_2(a434,a435)
            & c4_2(a434,a435)
            & c5_2(a434,a435)
            & ndr1_1(a434)
            & ! [X4] :
                ( ndr1_1(a434)
               => ( ~ c3_2(a434,X4)
                  | c2_2(a434,X4)
                  | ~ c4_2(a434,X4) ) )
            & ndr1_0 ) )
        & ( c1_0
          | ~ c3_0 )
        & ( c5_0
          | ( ~ c2_2(a432,a433)
            & ~ c3_2(a432,a433)
            & ndr1_1(a432)
            & ~ c1_1(a432)
            & ! [X5] :
                ( ndr1_1(a432)
               => ( c4_2(a432,X5)
                  | c5_2(a432,X5)
                  | ~ c2_2(a432,X5) ) )
            & ndr1_0 )
          | c1_0 )
        & ( ( ~ c1_1(a431)
            & c3_1(a431)
            & ndr1_0 )
          | ! [X6] :
              ( ndr1_0
             => ( ( c5_2(X6,a430)
                  & ~ c4_2(X6,a430)
                  & c1_2(X6,a430)
                  & ndr1_1(X6) )
                | ( ~ c5_2(X6,a429)
                  & ~ c4_2(X6,a429)
                  & c1_2(X6,a429)
                  & ndr1_1(X6) )
                | ( ~ c3_2(X6,a428)
                  & ~ c4_2(X6,a428)
                  & ndr1_1(X6) ) ) )
          | ( c2_2(a425,a427)
            & ~ c3_2(a425,a427)
            & ~ c5_2(a425,a427)
            & ndr1_1(a425)
            & ~ c3_1(a425)
            & ~ c5_2(a425,a426)
            & c4_2(a425,a426)
            & ~ c2_2(a425,a426)
            & ndr1_1(a425)
            & ndr1_0 ) )
        & ( c1_0
          | ~ c3_0
          | c4_0 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c4_1(X7)
                | c2_1(X7)
                | c5_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ( ~ c5_2(X8,a424)
                  & ~ c3_2(X8,a424)
                  & c2_2(X8,a424)
                  & ndr1_1(X8) )
                | c3_1(X8)
                | c2_1(X8) ) )
          | c5_0 )
        & ( ~ c3_0
          | ( ~ c4_1(a422)
            & ~ c2_2(a422,a423)
            & c5_2(a422,a423)
            & c1_2(a422,a423)
            & ndr1_1(a422)
            & ~ c2_1(a422)
            & ndr1_0 )
          | c1_0 )
        & ( c2_0
          | ~ c3_0
          | c5_0 )
        & ( c5_0
          | ~ c4_0
          | c1_0 )
        & ( ~ c5_0
          | ~ c3_0
          | ~ c1_0 )
        & ( ~ c3_0
          | c4_0
          | ! [X9] :
              ( ndr1_0
             => ( ! [X10] :
                    ( ndr1_1(X9)
                   => ( c1_2(X9,X10)
                      | ~ c3_2(X9,X10)
                      | ~ c2_2(X9,X10) ) )
                | ! [X11] :
                    ( ndr1_1(X9)
                   => ( c5_2(X9,X11)
                      | ~ c2_2(X9,X11)
                      | ~ c4_2(X9,X11) ) ) ) ) )
        & ( c4_0
          | ( c5_1(a420)
            & c4_1(a420)
            & c1_2(a420,a421)
            & ~ c4_2(a420,a421)
            & ndr1_1(a420)
            & ndr1_0 ) )
        & ( ( ~ c3_2(a418,a419)
            & ~ c5_2(a418,a419)
            & c4_2(a418,a419)
            & ndr1_1(a418)
            & c2_1(a418)
            & ndr1_0 )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ( c2_2(X12,a417)
                  & ~ c4_2(X12,a417)
                  & ndr1_1(X12) ) ) )
          | ( ! [X13] :
                ( ndr1_1(a416)
               => c5_2(a416,X13) )
            & c2_1(a416)
            & ! [X14] :
                ( ndr1_1(a416)
               => ( ~ c2_2(a416,X14)
                  | ~ c5_2(a416,X14) ) )
            & ndr1_0 ) )
        & ( ( c5_1(a415)
            & ~ c4_1(a415)
            & c2_1(a415)
            & ndr1_0 )
          | ~ c5_0
          | ~ c4_0 )
        & ( ( ! [X15] :
                ( ndr1_1(a413)
               => ( ~ c1_2(a413,X15)
                  | c5_2(a413,X15) ) )
            & c1_2(a413,a414)
            & ~ c5_2(a413,a414)
            & ~ c3_2(a413,a414)
            & ndr1_1(a413)
            & ~ c2_1(a413)
            & ndr1_0 )
          | ( ~ c2_1(a412)
            & ! [X16] :
                ( ndr1_1(a412)
               => ( c3_2(a412,X16)
                  | ~ c2_2(a412,X16) ) )
            & ~ c4_1(a412)
            & ndr1_0 )
          | ! [X17] :
              ( ndr1_0
             => ~ c2_1(X17) ) )
        & ( ~ c4_0
          | ~ c3_0
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c5_1(X18) ) ) )
        & ( ( c1_1(a411)
            & c2_1(a411)
            & ! [X19] :
                ( ndr1_1(a411)
               => ( c5_2(a411,X19)
                  | c3_2(a411,X19)
                  | c1_2(a411,X19) ) )
            & ndr1_0 )
          | c5_0
          | ~ c3_0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( c4_0
      | ! [X0] :
          ( ndr1_0
         => ( ~ c1_1(X0)
            | c2_1(X0)
            | c5_1(X0) ) )
      | ( c2_1(a441)
        & ! [X1] :
            ( ndr1_1(a441)
           => ( ~ c4_2(a441,X1)
              | c5_2(a441,X1) ) )
        & ~ c1_2(a441,a442)
        & c3_2(a441,a442)
        & ndr1_1(a441)
        & ndr1_0 ) )
    & ( ( c4_1(a440)
        & ~ c5_1(a440)
        & ! [X2] :
            ( ndr1_1(a440)
           => ( c4_2(a440,X2)
              | ~ c3_2(a440,X2)
              | c2_2(a440,X2) ) )
        & ndr1_0 )
      | c1_0
      | c5_0 )
    & ( c3_0
      | ( ! [X3] :
            ( ndr1_1(a439)
           => ( c3_2(a439,X3)
              | c5_2(a439,X3) ) )
        & c5_1(a439)
        & ndr1_0 ) )
    & ( ( c2_1(a438)
        & c1_1(a438)
        & ~ c5_1(a438)
        & ndr1_0 )
      | ( c4_1(a437)
        & ndr1_0 )
      | ( c3_2(a434,a436)
        & ~ c5_2(a434,a436)
        & ndr1_1(a434)
        & c3_2(a434,a435)
        & c4_2(a434,a435)
        & c5_2(a434,a435)
        & ndr1_1(a434)
        & ! [X4] :
            ( ndr1_1(a434)
           => ( ~ c3_2(a434,X4)
              | c2_2(a434,X4)
              | ~ c4_2(a434,X4) ) )
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0 )
    & ( c5_0
      | ( ~ c2_2(a432,a433)
        & ~ c3_2(a432,a433)
        & ndr1_1(a432)
        & ~ c1_1(a432)
        & ! [X5] :
            ( ndr1_1(a432)
           => ( c4_2(a432,X5)
              | c5_2(a432,X5)
              | ~ c2_2(a432,X5) ) )
        & ndr1_0 )
      | c1_0 )
    & ( ( ~ c1_1(a431)
        & c3_1(a431)
        & ndr1_0 )
      | ! [X6] :
          ( ndr1_0
         => ( ( c5_2(X6,a430)
              & ~ c4_2(X6,a430)
              & c1_2(X6,a430)
              & ndr1_1(X6) )
            | ( ~ c5_2(X6,a429)
              & ~ c4_2(X6,a429)
              & c1_2(X6,a429)
              & ndr1_1(X6) )
            | ( ~ c3_2(X6,a428)
              & ~ c4_2(X6,a428)
              & ndr1_1(X6) ) ) )
      | ( c2_2(a425,a427)
        & ~ c3_2(a425,a427)
        & ~ c5_2(a425,a427)
        & ndr1_1(a425)
        & ~ c3_1(a425)
        & ~ c5_2(a425,a426)
        & c4_2(a425,a426)
        & ~ c2_2(a425,a426)
        & ndr1_1(a425)
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0
      | c4_0 )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c4_1(X7)
            | c2_1(X7)
            | c5_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ( ~ c5_2(X8,a424)
              & ~ c3_2(X8,a424)
              & c2_2(X8,a424)
              & ndr1_1(X8) )
            | c3_1(X8)
            | c2_1(X8) ) )
      | c5_0 )
    & ( ~ c3_0
      | ( ~ c4_1(a422)
        & ~ c2_2(a422,a423)
        & c5_2(a422,a423)
        & c1_2(a422,a423)
        & ndr1_1(a422)
        & ~ c2_1(a422)
        & ndr1_0 )
      | c1_0 )
    & ( c2_0
      | ~ c3_0
      | c5_0 )
    & ( c5_0
      | ~ c4_0
      | c1_0 )
    & ( ~ c5_0
      | ~ c3_0
      | ~ c1_0 )
    & ( ~ c3_0
      | c4_0
      | ! [X9] :
          ( ndr1_0
         => ( ! [X10] :
                ( ndr1_1(X9)
               => ( c1_2(X9,X10)
                  | ~ c3_2(X9,X10)
                  | ~ c2_2(X9,X10) ) )
            | ! [X11] :
                ( ndr1_1(X9)
               => ( c5_2(X9,X11)
                  | ~ c2_2(X9,X11)
                  | ~ c4_2(X9,X11) ) ) ) ) )
    & ( c4_0
      | ( c5_1(a420)
        & c4_1(a420)
        & c1_2(a420,a421)
        & ~ c4_2(a420,a421)
        & ndr1_1(a420)
        & ndr1_0 ) )
    & ( ( ~ c3_2(a418,a419)
        & ~ c5_2(a418,a419)
        & c4_2(a418,a419)
        & ndr1_1(a418)
        & c2_1(a418)
        & ndr1_0 )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ( c2_2(X12,a417)
              & ~ c4_2(X12,a417)
              & ndr1_1(X12) ) ) )
      | ( ! [X13] :
            ( ndr1_1(a416)
           => c5_2(a416,X13) )
        & c2_1(a416)
        & ! [X14] :
            ( ndr1_1(a416)
           => ( ~ c2_2(a416,X14)
              | ~ c5_2(a416,X14) ) )
        & ndr1_0 ) )
    & ( ( c5_1(a415)
        & ~ c4_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ c5_0
      | ~ c4_0 )
    & ( ( ! [X15] :
            ( ndr1_1(a413)
           => ( ~ c1_2(a413,X15)
              | c5_2(a413,X15) ) )
        & c1_2(a413,a414)
        & ~ c5_2(a413,a414)
        & ~ c3_2(a413,a414)
        & ndr1_1(a413)
        & ~ c2_1(a413)
        & ndr1_0 )
      | ( ~ c2_1(a412)
        & ! [X16] :
            ( ndr1_1(a412)
           => ( c3_2(a412,X16)
              | ~ c2_2(a412,X16) ) )
        & ~ c4_1(a412)
        & ndr1_0 )
      | ! [X17] :
          ( ndr1_0
         => ~ c2_1(X17) ) )
    & ( ~ c4_0
      | ~ c3_0
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c5_1(X18) ) ) )
    & ( ( c1_1(a411)
        & c2_1(a411)
        & ! [X19] :
            ( ndr1_1(a411)
           => ( c5_2(a411,X19)
              | c3_2(a411,X19)
              | c1_2(a411,X19) ) )
        & ndr1_0 )
      | c5_0
      | ~ c3_0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( c4_0
      | ! [X0] :
          ( ndr1_0
         => ( ~ c1_1(X0)
            | c2_1(X0)
            | c5_1(X0) ) )
      | ( c2_1(a441)
        & ! [X1] :
            ( ndr1_1(a441)
           => ( ~ c4_2(a441,X1)
              | c5_2(a441,X1) ) )
        & ~ c1_2(a441,a442)
        & c3_2(a441,a442)
        & ndr1_1(a441)
        & ndr1_0 ) )
    & ( ( c4_1(a440)
        & ~ c5_1(a440)
        & ! [X2] :
            ( ndr1_1(a440)
           => ( c4_2(a440,X2)
              | ~ c3_2(a440,X2)
              | c2_2(a440,X2) ) )
        & ndr1_0 )
      | c1_0
      | c5_0 )
    & ( c3_0
      | ( ! [X3] :
            ( ndr1_1(a439)
           => ( c3_2(a439,X3)
              | c5_2(a439,X3) ) )
        & c5_1(a439)
        & ndr1_0 ) )
    & ( ( c2_1(a438)
        & c1_1(a438)
        & ~ c5_1(a438)
        & ndr1_0 )
      | ( c4_1(a437)
        & ndr1_0 )
      | ( c3_2(a434,a436)
        & ~ c5_2(a434,a436)
        & ndr1_1(a434)
        & c3_2(a434,a435)
        & c4_2(a434,a435)
        & c5_2(a434,a435)
        & ndr1_1(a434)
        & ! [X4] :
            ( ndr1_1(a434)
           => ( ~ c3_2(a434,X4)
              | c2_2(a434,X4)
              | ~ c4_2(a434,X4) ) )
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0 )
    & ( c5_0
      | ( ~ c2_2(a432,a433)
        & ~ c3_2(a432,a433)
        & ndr1_1(a432)
        & ~ c1_1(a432)
        & ! [X5] :
            ( ndr1_1(a432)
           => ( c4_2(a432,X5)
              | c5_2(a432,X5)
              | ~ c2_2(a432,X5) ) )
        & ndr1_0 )
      | c1_0 )
    & ( ( ~ c1_1(a431)
        & c3_1(a431)
        & ndr1_0 )
      | ! [X6] :
          ( ndr1_0
         => ( ( c5_2(X6,a430)
              & ~ c4_2(X6,a430)
              & c1_2(X6,a430)
              & ndr1_1(X6) )
            | ( ~ c5_2(X6,a429)
              & ~ c4_2(X6,a429)
              & c1_2(X6,a429)
              & ndr1_1(X6) )
            | ( ~ c3_2(X6,a428)
              & ~ c4_2(X6,a428)
              & ndr1_1(X6) ) ) )
      | ( c2_2(a425,a427)
        & ~ c3_2(a425,a427)
        & ~ c5_2(a425,a427)
        & ndr1_1(a425)
        & ~ c3_1(a425)
        & ~ c5_2(a425,a426)
        & c4_2(a425,a426)
        & ~ c2_2(a425,a426)
        & ndr1_1(a425)
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0
      | c4_0 )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c4_1(X7)
            | c2_1(X7)
            | c5_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ( ~ c5_2(X8,a424)
              & ~ c3_2(X8,a424)
              & c2_2(X8,a424)
              & ndr1_1(X8) )
            | c3_1(X8)
            | c2_1(X8) ) )
      | c5_0 )
    & ( ~ c3_0
      | ( ~ c4_1(a422)
        & ~ c2_2(a422,a423)
        & c5_2(a422,a423)
        & c1_2(a422,a423)
        & ndr1_1(a422)
        & ~ c2_1(a422)
        & ndr1_0 )
      | c1_0 )
    & ( c5_0
      | ~ c4_0
      | c1_0 )
    & ( ~ c5_0
      | ~ c3_0
      | ~ c1_0 )
    & ( ~ c3_0
      | c4_0
      | ! [X9] :
          ( ndr1_0
         => ( ! [X10] :
                ( ndr1_1(X9)
               => ( c1_2(X9,X10)
                  | ~ c3_2(X9,X10)
                  | ~ c2_2(X9,X10) ) )
            | ! [X11] :
                ( ndr1_1(X9)
               => ( c5_2(X9,X11)
                  | ~ c2_2(X9,X11)
                  | ~ c4_2(X9,X11) ) ) ) ) )
    & ( c4_0
      | ( c5_1(a420)
        & c4_1(a420)
        & c1_2(a420,a421)
        & ~ c4_2(a420,a421)
        & ndr1_1(a420)
        & ndr1_0 ) )
    & ( ( ~ c3_2(a418,a419)
        & ~ c5_2(a418,a419)
        & c4_2(a418,a419)
        & ndr1_1(a418)
        & c2_1(a418)
        & ndr1_0 )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ( c2_2(X12,a417)
              & ~ c4_2(X12,a417)
              & ndr1_1(X12) ) ) )
      | ( ! [X13] :
            ( ndr1_1(a416)
           => c5_2(a416,X13) )
        & c2_1(a416)
        & ! [X14] :
            ( ndr1_1(a416)
           => ( ~ c2_2(a416,X14)
              | ~ c5_2(a416,X14) ) )
        & ndr1_0 ) )
    & ( ( c5_1(a415)
        & ~ c4_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ c5_0
      | ~ c4_0 )
    & ( ( ! [X15] :
            ( ndr1_1(a413)
           => ( ~ c1_2(a413,X15)
              | c5_2(a413,X15) ) )
        & c1_2(a413,a414)
        & ~ c5_2(a413,a414)
        & ~ c3_2(a413,a414)
        & ndr1_1(a413)
        & ~ c2_1(a413)
        & ndr1_0 )
      | ( ~ c2_1(a412)
        & ! [X16] :
            ( ndr1_1(a412)
           => ( c3_2(a412,X16)
              | ~ c2_2(a412,X16) ) )
        & ~ c4_1(a412)
        & ndr1_0 )
      | ! [X17] :
          ( ndr1_0
         => ~ c2_1(X17) ) )
    & ( ~ c4_0
      | ~ c3_0
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c5_1(X18) ) ) )
    & ( ( c1_1(a411)
        & c2_1(a411)
        & ! [X19] :
            ( ndr1_1(a411)
           => ( c5_2(a411,X19)
              | c3_2(a411,X19)
              | c1_2(a411,X19) ) )
        & ndr1_0 )
      | c5_0
      | ~ c3_0 ) ),
    inference(pure_predicate_removal,[],[f4]) ).

fof(f6,plain,
    ( ( c4_0
      | ! [X0] :
          ( ~ c1_1(X0)
          | c2_1(X0)
          | c5_1(X0)
          | ~ ndr1_0 )
      | ( c2_1(a441)
        & ! [X1] :
            ( ~ c4_2(a441,X1)
            | c5_2(a441,X1)
            | ~ ndr1_1(a441) )
        & ~ c1_2(a441,a442)
        & c3_2(a441,a442)
        & ndr1_1(a441)
        & ndr1_0 ) )
    & ( ( c4_1(a440)
        & ~ c5_1(a440)
        & ! [X2] :
            ( c4_2(a440,X2)
            | ~ c3_2(a440,X2)
            | c2_2(a440,X2)
            | ~ ndr1_1(a440) )
        & ndr1_0 )
      | c1_0
      | c5_0 )
    & ( c3_0
      | ( ! [X3] :
            ( c3_2(a439,X3)
            | c5_2(a439,X3)
            | ~ ndr1_1(a439) )
        & c5_1(a439)
        & ndr1_0 ) )
    & ( ( c2_1(a438)
        & c1_1(a438)
        & ~ c5_1(a438)
        & ndr1_0 )
      | ( c4_1(a437)
        & ndr1_0 )
      | ( c3_2(a434,a436)
        & ~ c5_2(a434,a436)
        & ndr1_1(a434)
        & c3_2(a434,a435)
        & c4_2(a434,a435)
        & c5_2(a434,a435)
        & ndr1_1(a434)
        & ! [X4] :
            ( ~ c3_2(a434,X4)
            | c2_2(a434,X4)
            | ~ c4_2(a434,X4)
            | ~ ndr1_1(a434) )
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0 )
    & ( c5_0
      | ( ~ c2_2(a432,a433)
        & ~ c3_2(a432,a433)
        & ndr1_1(a432)
        & ~ c1_1(a432)
        & ! [X5] :
            ( c4_2(a432,X5)
            | c5_2(a432,X5)
            | ~ c2_2(a432,X5)
            | ~ ndr1_1(a432) )
        & ndr1_0 )
      | c1_0 )
    & ( ( ~ c1_1(a431)
        & c3_1(a431)
        & ndr1_0 )
      | ! [X6] :
          ( ( c5_2(X6,a430)
            & ~ c4_2(X6,a430)
            & c1_2(X6,a430)
            & ndr1_1(X6) )
          | ( ~ c5_2(X6,a429)
            & ~ c4_2(X6,a429)
            & c1_2(X6,a429)
            & ndr1_1(X6) )
          | ( ~ c3_2(X6,a428)
            & ~ c4_2(X6,a428)
            & ndr1_1(X6) )
          | ~ ndr1_0 )
      | ( c2_2(a425,a427)
        & ~ c3_2(a425,a427)
        & ~ c5_2(a425,a427)
        & ndr1_1(a425)
        & ~ c3_1(a425)
        & ~ c5_2(a425,a426)
        & c4_2(a425,a426)
        & ~ c2_2(a425,a426)
        & ndr1_1(a425)
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0
      | c4_0 )
    & ( ! [X7] :
          ( ~ c4_1(X7)
          | c2_1(X7)
          | c5_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ( ~ c5_2(X8,a424)
            & ~ c3_2(X8,a424)
            & c2_2(X8,a424)
            & ndr1_1(X8) )
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | c5_0 )
    & ( ~ c3_0
      | ( ~ c4_1(a422)
        & ~ c2_2(a422,a423)
        & c5_2(a422,a423)
        & c1_2(a422,a423)
        & ndr1_1(a422)
        & ~ c2_1(a422)
        & ndr1_0 )
      | c1_0 )
    & ( c5_0
      | ~ c4_0
      | c1_0 )
    & ( ~ c5_0
      | ~ c3_0
      | ~ c1_0 )
    & ( ~ c3_0
      | c4_0
      | ! [X9] :
          ( ! [X10] :
              ( c1_2(X9,X10)
              | ~ c3_2(X9,X10)
              | ~ c2_2(X9,X10)
              | ~ ndr1_1(X9) )
          | ! [X11] :
              ( c5_2(X9,X11)
              | ~ c2_2(X9,X11)
              | ~ c4_2(X9,X11)
              | ~ ndr1_1(X9) )
          | ~ ndr1_0 ) )
    & ( c4_0
      | ( c5_1(a420)
        & c4_1(a420)
        & c1_2(a420,a421)
        & ~ c4_2(a420,a421)
        & ndr1_1(a420)
        & ndr1_0 ) )
    & ( ( ~ c3_2(a418,a419)
        & ~ c5_2(a418,a419)
        & c4_2(a418,a419)
        & ndr1_1(a418)
        & c2_1(a418)
        & ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ( c2_2(X12,a417)
            & ~ c4_2(X12,a417)
            & ndr1_1(X12) )
          | ~ ndr1_0 )
      | ( ! [X13] :
            ( c5_2(a416,X13)
            | ~ ndr1_1(a416) )
        & c2_1(a416)
        & ! [X14] :
            ( ~ c2_2(a416,X14)
            | ~ c5_2(a416,X14)
            | ~ ndr1_1(a416) )
        & ndr1_0 ) )
    & ( ( c5_1(a415)
        & ~ c4_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ c5_0
      | ~ c4_0 )
    & ( ( ! [X15] :
            ( ~ c1_2(a413,X15)
            | c5_2(a413,X15)
            | ~ ndr1_1(a413) )
        & c1_2(a413,a414)
        & ~ c5_2(a413,a414)
        & ~ c3_2(a413,a414)
        & ndr1_1(a413)
        & ~ c2_1(a413)
        & ndr1_0 )
      | ( ~ c2_1(a412)
        & ! [X16] :
            ( c3_2(a412,X16)
            | ~ c2_2(a412,X16)
            | ~ ndr1_1(a412) )
        & ~ c4_1(a412)
        & ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ~ c4_0
      | ~ c3_0
      | ! [X18] :
          ( ~ c3_1(X18)
          | c5_1(X18)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a411)
        & c2_1(a411)
        & ! [X19] :
            ( c5_2(a411,X19)
            | c3_2(a411,X19)
            | c1_2(a411,X19)
            | ~ ndr1_1(a411) )
        & ndr1_0 )
      | c5_0
      | ~ c3_0 ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f7,plain,
    ( ( c4_0
      | ! [X0] :
          ( ~ c1_1(X0)
          | c2_1(X0)
          | c5_1(X0)
          | ~ ndr1_0 )
      | ( c2_1(a441)
        & ! [X1] :
            ( ~ c4_2(a441,X1)
            | c5_2(a441,X1)
            | ~ ndr1_1(a441) )
        & ~ c1_2(a441,a442)
        & c3_2(a441,a442)
        & ndr1_1(a441)
        & ndr1_0 ) )
    & ( ( c4_1(a440)
        & ~ c5_1(a440)
        & ! [X2] :
            ( c4_2(a440,X2)
            | ~ c3_2(a440,X2)
            | c2_2(a440,X2)
            | ~ ndr1_1(a440) )
        & ndr1_0 )
      | c1_0
      | c5_0 )
    & ( c3_0
      | ( ! [X3] :
            ( c3_2(a439,X3)
            | c5_2(a439,X3)
            | ~ ndr1_1(a439) )
        & c5_1(a439)
        & ndr1_0 ) )
    & ( ( c2_1(a438)
        & c1_1(a438)
        & ~ c5_1(a438)
        & ndr1_0 )
      | ( c4_1(a437)
        & ndr1_0 )
      | ( c3_2(a434,a436)
        & ~ c5_2(a434,a436)
        & ndr1_1(a434)
        & c3_2(a434,a435)
        & c4_2(a434,a435)
        & c5_2(a434,a435)
        & ndr1_1(a434)
        & ! [X4] :
            ( ~ c3_2(a434,X4)
            | c2_2(a434,X4)
            | ~ c4_2(a434,X4)
            | ~ ndr1_1(a434) )
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0 )
    & ( c5_0
      | ( ~ c2_2(a432,a433)
        & ~ c3_2(a432,a433)
        & ndr1_1(a432)
        & ~ c1_1(a432)
        & ! [X5] :
            ( c4_2(a432,X5)
            | c5_2(a432,X5)
            | ~ c2_2(a432,X5)
            | ~ ndr1_1(a432) )
        & ndr1_0 )
      | c1_0 )
    & ( ( ~ c1_1(a431)
        & c3_1(a431)
        & ndr1_0 )
      | ! [X6] :
          ( ( c5_2(X6,a430)
            & ~ c4_2(X6,a430)
            & c1_2(X6,a430)
            & ndr1_1(X6) )
          | ( ~ c5_2(X6,a429)
            & ~ c4_2(X6,a429)
            & c1_2(X6,a429)
            & ndr1_1(X6) )
          | ( ~ c3_2(X6,a428)
            & ~ c4_2(X6,a428)
            & ndr1_1(X6) )
          | ~ ndr1_0 )
      | ( c2_2(a425,a427)
        & ~ c3_2(a425,a427)
        & ~ c5_2(a425,a427)
        & ndr1_1(a425)
        & ~ c3_1(a425)
        & ~ c5_2(a425,a426)
        & c4_2(a425,a426)
        & ~ c2_2(a425,a426)
        & ndr1_1(a425)
        & ndr1_0 ) )
    & ( c1_0
      | ~ c3_0
      | c4_0 )
    & ( ! [X7] :
          ( ~ c4_1(X7)
          | c2_1(X7)
          | c5_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ( ~ c5_2(X8,a424)
            & ~ c3_2(X8,a424)
            & c2_2(X8,a424)
            & ndr1_1(X8) )
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | c5_0 )
    & ( ~ c3_0
      | ( ~ c4_1(a422)
        & ~ c2_2(a422,a423)
        & c5_2(a422,a423)
        & c1_2(a422,a423)
        & ndr1_1(a422)
        & ~ c2_1(a422)
        & ndr1_0 )
      | c1_0 )
    & ( c5_0
      | ~ c4_0
      | c1_0 )
    & ( ~ c5_0
      | ~ c3_0
      | ~ c1_0 )
    & ( ~ c3_0
      | c4_0
      | ! [X9] :
          ( ! [X10] :
              ( c1_2(X9,X10)
              | ~ c3_2(X9,X10)
              | ~ c2_2(X9,X10)
              | ~ ndr1_1(X9) )
          | ! [X11] :
              ( c5_2(X9,X11)
              | ~ c2_2(X9,X11)
              | ~ c4_2(X9,X11)
              | ~ ndr1_1(X9) )
          | ~ ndr1_0 ) )
    & ( c4_0
      | ( c5_1(a420)
        & c4_1(a420)
        & c1_2(a420,a421)
        & ~ c4_2(a420,a421)
        & ndr1_1(a420)
        & ndr1_0 ) )
    & ( ( ~ c3_2(a418,a419)
        & ~ c5_2(a418,a419)
        & c4_2(a418,a419)
        & ndr1_1(a418)
        & c2_1(a418)
        & ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ( c2_2(X12,a417)
            & ~ c4_2(X12,a417)
            & ndr1_1(X12) )
          | ~ ndr1_0 )
      | ( ! [X13] :
            ( c5_2(a416,X13)
            | ~ ndr1_1(a416) )
        & c2_1(a416)
        & ! [X14] :
            ( ~ c2_2(a416,X14)
            | ~ c5_2(a416,X14)
            | ~ ndr1_1(a416) )
        & ndr1_0 ) )
    & ( ( c5_1(a415)
        & ~ c4_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ c5_0
      | ~ c4_0 )
    & ( ( ! [X15] :
            ( ~ c1_2(a413,X15)
            | c5_2(a413,X15)
            | ~ ndr1_1(a413) )
        & c1_2(a413,a414)
        & ~ c5_2(a413,a414)
        & ~ c3_2(a413,a414)
        & ndr1_1(a413)
        & ~ c2_1(a413)
        & ndr1_0 )
      | ( ~ c2_1(a412)
        & ! [X16] :
            ( c3_2(a412,X16)
            | ~ c2_2(a412,X16)
            | ~ ndr1_1(a412) )
        & ~ c4_1(a412)
        & ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ~ c4_0
      | ~ c3_0
      | ! [X18] :
          ( ~ c3_1(X18)
          | c5_1(X18)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a411)
        & c2_1(a411)
        & ! [X19] :
            ( c5_2(a411,X19)
            | c3_2(a411,X19)
            | c1_2(a411,X19)
            | ~ ndr1_1(a411) )
        & ndr1_0 )
      | c5_0
      | ~ c3_0 ) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ( ( ! [X15] :
          ( ~ c1_2(a413,X15)
          | c5_2(a413,X15)
          | ~ ndr1_1(a413) )
      & c1_2(a413,a414)
      & ~ c5_2(a413,a414)
      & ~ c3_2(a413,a414)
      & ndr1_1(a413)
      & ~ c2_1(a413)
      & ndr1_0 )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f9,plain,
    ( ( ~ c3_2(a418,a419)
      & ~ c5_2(a418,a419)
      & c4_2(a418,a419)
      & ndr1_1(a418)
      & c2_1(a418)
      & ndr1_0 )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f10,plain,
    ( ( ! [X13] :
          ( c5_2(a416,X13)
          | ~ ndr1_1(a416) )
      & c2_1(a416)
      & ! [X14] :
          ( ~ c2_2(a416,X14)
          | ~ c5_2(a416,X14)
          | ~ ndr1_1(a416) )
      & ndr1_0 )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f11,plain,
    ! [X6] :
      ( ( ~ c5_2(X6,a429)
        & ~ c4_2(X6,a429)
        & c1_2(X6,a429)
        & ndr1_1(X6) )
      | ~ sP3(X6) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f12,plain,
    ! [X6] :
      ( ( c5_2(X6,a430)
        & ~ c4_2(X6,a430)
        & c1_2(X6,a430)
        & ndr1_1(X6) )
      | ~ sP4(X6) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f13,plain,
    ( ( c2_2(a425,a427)
      & ~ c3_2(a425,a427)
      & ~ c5_2(a425,a427)
      & ndr1_1(a425)
      & ~ c3_1(a425)
      & ~ c5_2(a425,a426)
      & c4_2(a425,a426)
      & ~ c2_2(a425,a426)
      & ndr1_1(a425)
      & ndr1_0 )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f14,plain,
    ( ! [X6] :
        ( sP4(X6)
        | sP3(X6)
        | ( ~ c3_2(X6,a428)
          & ~ c4_2(X6,a428)
          & ndr1_1(X6) )
        | ~ ndr1_0 )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f15,plain,
    ( ( c3_2(a434,a436)
      & ~ c5_2(a434,a436)
      & ndr1_1(a434)
      & c3_2(a434,a435)
      & c4_2(a434,a435)
      & c5_2(a434,a435)
      & ndr1_1(a434)
      & ! [X4] :
          ( ~ c3_2(a434,X4)
          | c2_2(a434,X4)
          | ~ c4_2(a434,X4)
          | ~ ndr1_1(a434) )
      & ndr1_0 )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f16,plain,
    ( ( c4_0
      | ! [X0] :
          ( ~ c1_1(X0)
          | c2_1(X0)
          | c5_1(X0)
          | ~ ndr1_0 )
      | ( c2_1(a441)
        & ! [X1] :
            ( ~ c4_2(a441,X1)
            | c5_2(a441,X1)
            | ~ ndr1_1(a441) )
        & ~ c1_2(a441,a442)
        & c3_2(a441,a442)
        & ndr1_1(a441)
        & ndr1_0 ) )
    & ( ( c4_1(a440)
        & ~ c5_1(a440)
        & ! [X2] :
            ( c4_2(a440,X2)
            | ~ c3_2(a440,X2)
            | c2_2(a440,X2)
            | ~ ndr1_1(a440) )
        & ndr1_0 )
      | c1_0
      | c5_0 )
    & ( c3_0
      | ( ! [X3] :
            ( c3_2(a439,X3)
            | c5_2(a439,X3)
            | ~ ndr1_1(a439) )
        & c5_1(a439)
        & ndr1_0 ) )
    & ( ( c2_1(a438)
        & c1_1(a438)
        & ~ c5_1(a438)
        & ndr1_0 )
      | ( c4_1(a437)
        & ndr1_0 )
      | sP7 )
    & ( c1_0
      | ~ c3_0 )
    & ( c5_0
      | ( ~ c2_2(a432,a433)
        & ~ c3_2(a432,a433)
        & ndr1_1(a432)
        & ~ c1_1(a432)
        & ! [X5] :
            ( c4_2(a432,X5)
            | c5_2(a432,X5)
            | ~ c2_2(a432,X5)
            | ~ ndr1_1(a432) )
        & ndr1_0 )
      | c1_0 )
    & ( ( ~ c1_1(a431)
        & c3_1(a431)
        & ndr1_0 )
      | sP6
      | sP5 )
    & ( c1_0
      | ~ c3_0
      | c4_0 )
    & ( ! [X7] :
          ( ~ c4_1(X7)
          | c2_1(X7)
          | c5_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ( ~ c5_2(X8,a424)
            & ~ c3_2(X8,a424)
            & c2_2(X8,a424)
            & ndr1_1(X8) )
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | c5_0 )
    & ( ~ c3_0
      | ( ~ c4_1(a422)
        & ~ c2_2(a422,a423)
        & c5_2(a422,a423)
        & c1_2(a422,a423)
        & ndr1_1(a422)
        & ~ c2_1(a422)
        & ndr1_0 )
      | c1_0 )
    & ( c5_0
      | ~ c4_0
      | c1_0 )
    & ( ~ c5_0
      | ~ c3_0
      | ~ c1_0 )
    & ( ~ c3_0
      | c4_0
      | ! [X9] :
          ( ! [X10] :
              ( c1_2(X9,X10)
              | ~ c3_2(X9,X10)
              | ~ c2_2(X9,X10)
              | ~ ndr1_1(X9) )
          | ! [X11] :
              ( c5_2(X9,X11)
              | ~ c2_2(X9,X11)
              | ~ c4_2(X9,X11)
              | ~ ndr1_1(X9) )
          | ~ ndr1_0 ) )
    & ( c4_0
      | ( c5_1(a420)
        & c4_1(a420)
        & c1_2(a420,a421)
        & ~ c4_2(a420,a421)
        & ndr1_1(a420)
        & ndr1_0 ) )
    & ( sP1
      | ! [X12] :
          ( ~ c2_1(X12)
          | ( c2_2(X12,a417)
            & ~ c4_2(X12,a417)
            & ndr1_1(X12) )
          | ~ ndr1_0 )
      | sP2 )
    & ( ( c5_1(a415)
        & ~ c4_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ c5_0
      | ~ c4_0 )
    & ( sP0
      | ( ~ c2_1(a412)
        & ! [X16] :
            ( c3_2(a412,X16)
            | ~ c2_2(a412,X16)
            | ~ ndr1_1(a412) )
        & ~ c4_1(a412)
        & ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ~ c4_0
      | ~ c3_0
      | ! [X18] :
          ( ~ c3_1(X18)
          | c5_1(X18)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a411)
        & c2_1(a411)
        & ! [X19] :
            ( c5_2(a411,X19)
            | c3_2(a411,X19)
            | c1_2(a411,X19)
            | ~ ndr1_1(a411) )
        & ndr1_0 )
      | c5_0
      | ~ c3_0 ) ),
    inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).

fof(f17,plain,
    ( ( c3_2(a434,a436)
      & ~ c5_2(a434,a436)
      & ndr1_1(a434)
      & c3_2(a434,a435)
      & c4_2(a434,a435)
      & c5_2(a434,a435)
      & ndr1_1(a434)
      & ! [X4] :
          ( ~ c3_2(a434,X4)
          | c2_2(a434,X4)
          | ~ c4_2(a434,X4)
          | ~ ndr1_1(a434) )
      & ndr1_0 )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f18,plain,
    ( ( c3_2(a434,a436)
      & ~ c5_2(a434,a436)
      & ndr1_1(a434)
      & c3_2(a434,a435)
      & c4_2(a434,a435)
      & c5_2(a434,a435)
      & ndr1_1(a434)
      & ! [X0] :
          ( ~ c3_2(a434,X0)
          | c2_2(a434,X0)
          | ~ c4_2(a434,X0)
          | ~ ndr1_1(a434) )
      & ndr1_0 )
    | ~ sP7 ),
    inference(rectify,[],[f17]) ).

fof(f19,plain,
    ( ! [X6] :
        ( sP4(X6)
        | sP3(X6)
        | ( ~ c3_2(X6,a428)
          & ~ c4_2(X6,a428)
          & ndr1_1(X6) )
        | ~ ndr1_0 )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f20,plain,
    ( ! [X0] :
        ( sP4(X0)
        | sP3(X0)
        | ( ~ c3_2(X0,a428)
          & ~ c4_2(X0,a428)
          & ndr1_1(X0) )
        | ~ ndr1_0 )
    | ~ sP6 ),
    inference(rectify,[],[f19]) ).

fof(f21,plain,
    ( ( c2_2(a425,a427)
      & ~ c3_2(a425,a427)
      & ~ c5_2(a425,a427)
      & ndr1_1(a425)
      & ~ c3_1(a425)
      & ~ c5_2(a425,a426)
      & c4_2(a425,a426)
      & ~ c2_2(a425,a426)
      & ndr1_1(a425)
      & ndr1_0 )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f22,plain,
    ! [X6] :
      ( ( c5_2(X6,a430)
        & ~ c4_2(X6,a430)
        & c1_2(X6,a430)
        & ndr1_1(X6) )
      | ~ sP4(X6) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f23,plain,
    ! [X0] :
      ( ( c5_2(X0,a430)
        & ~ c4_2(X0,a430)
        & c1_2(X0,a430)
        & ndr1_1(X0) )
      | ~ sP4(X0) ),
    inference(rectify,[],[f22]) ).

fof(f24,plain,
    ! [X6] :
      ( ( ~ c5_2(X6,a429)
        & ~ c4_2(X6,a429)
        & c1_2(X6,a429)
        & ndr1_1(X6) )
      | ~ sP3(X6) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f25,plain,
    ! [X0] :
      ( ( ~ c5_2(X0,a429)
        & ~ c4_2(X0,a429)
        & c1_2(X0,a429)
        & ndr1_1(X0) )
      | ~ sP3(X0) ),
    inference(rectify,[],[f24]) ).

fof(f26,plain,
    ( ( ! [X13] :
          ( c5_2(a416,X13)
          | ~ ndr1_1(a416) )
      & c2_1(a416)
      & ! [X14] :
          ( ~ c2_2(a416,X14)
          | ~ c5_2(a416,X14)
          | ~ ndr1_1(a416) )
      & ndr1_0 )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f27,plain,
    ( ( ! [X0] :
          ( c5_2(a416,X0)
          | ~ ndr1_1(a416) )
      & c2_1(a416)
      & ! [X1] :
          ( ~ c2_2(a416,X1)
          | ~ c5_2(a416,X1)
          | ~ ndr1_1(a416) )
      & ndr1_0 )
    | ~ sP2 ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ( ( ~ c3_2(a418,a419)
      & ~ c5_2(a418,a419)
      & c4_2(a418,a419)
      & ndr1_1(a418)
      & c2_1(a418)
      & ndr1_0 )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f9]) ).

fof(f29,plain,
    ( ( ! [X15] :
          ( ~ c1_2(a413,X15)
          | c5_2(a413,X15)
          | ~ ndr1_1(a413) )
      & c1_2(a413,a414)
      & ~ c5_2(a413,a414)
      & ~ c3_2(a413,a414)
      & ndr1_1(a413)
      & ~ c2_1(a413)
      & ndr1_0 )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f8]) ).

fof(f30,plain,
    ( ( ! [X0] :
          ( ~ c1_2(a413,X0)
          | c5_2(a413,X0)
          | ~ ndr1_1(a413) )
      & c1_2(a413,a414)
      & ~ c5_2(a413,a414)
      & ~ c3_2(a413,a414)
      & ndr1_1(a413)
      & ~ c2_1(a413)
      & ndr1_0 )
    | ~ sP0 ),
    inference(rectify,[],[f29]) ).

fof(f31,plain,
    ( ( c4_0
      | ! [X0] :
          ( ~ c1_1(X0)
          | c2_1(X0)
          | c5_1(X0)
          | ~ ndr1_0 )
      | ( c2_1(a441)
        & ! [X1] :
            ( ~ c4_2(a441,X1)
            | c5_2(a441,X1)
            | ~ ndr1_1(a441) )
        & ~ c1_2(a441,a442)
        & c3_2(a441,a442)
        & ndr1_1(a441)
        & ndr1_0 ) )
    & ( ( c4_1(a440)
        & ~ c5_1(a440)
        & ! [X2] :
            ( c4_2(a440,X2)
            | ~ c3_2(a440,X2)
            | c2_2(a440,X2)
            | ~ ndr1_1(a440) )
        & ndr1_0 )
      | c1_0
      | c5_0 )
    & ( c3_0
      | ( ! [X3] :
            ( c3_2(a439,X3)
            | c5_2(a439,X3)
            | ~ ndr1_1(a439) )
        & c5_1(a439)
        & ndr1_0 ) )
    & ( ( c2_1(a438)
        & c1_1(a438)
        & ~ c5_1(a438)
        & ndr1_0 )
      | ( c4_1(a437)
        & ndr1_0 )
      | sP7 )
    & ( c1_0
      | ~ c3_0 )
    & ( c5_0
      | ( ~ c2_2(a432,a433)
        & ~ c3_2(a432,a433)
        & ndr1_1(a432)
        & ~ c1_1(a432)
        & ! [X4] :
            ( c4_2(a432,X4)
            | c5_2(a432,X4)
            | ~ c2_2(a432,X4)
            | ~ ndr1_1(a432) )
        & ndr1_0 )
      | c1_0 )
    & ( ( ~ c1_1(a431)
        & c3_1(a431)
        & ndr1_0 )
      | sP6
      | sP5 )
    & ( c1_0
      | ~ c3_0
      | c4_0 )
    & ( ! [X5] :
          ( ~ c4_1(X5)
          | c2_1(X5)
          | c5_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ( ~ c5_2(X6,a424)
            & ~ c3_2(X6,a424)
            & c2_2(X6,a424)
            & ndr1_1(X6) )
          | c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | c5_0 )
    & ( ~ c3_0
      | ( ~ c4_1(a422)
        & ~ c2_2(a422,a423)
        & c5_2(a422,a423)
        & c1_2(a422,a423)
        & ndr1_1(a422)
        & ~ c2_1(a422)
        & ndr1_0 )
      | c1_0 )
    & ( c5_0
      | ~ c4_0
      | c1_0 )
    & ( ~ c5_0
      | ~ c3_0
      | ~ c1_0 )
    & ( ~ c3_0
      | c4_0
      | ! [X7] :
          ( ! [X8] :
              ( c1_2(X7,X8)
              | ~ c3_2(X7,X8)
              | ~ c2_2(X7,X8)
              | ~ ndr1_1(X7) )
          | ! [X9] :
              ( c5_2(X7,X9)
              | ~ c2_2(X7,X9)
              | ~ c4_2(X7,X9)
              | ~ ndr1_1(X7) )
          | ~ ndr1_0 ) )
    & ( c4_0
      | ( c5_1(a420)
        & c4_1(a420)
        & c1_2(a420,a421)
        & ~ c4_2(a420,a421)
        & ndr1_1(a420)
        & ndr1_0 ) )
    & ( sP1
      | ! [X10] :
          ( ~ c2_1(X10)
          | ( c2_2(X10,a417)
            & ~ c4_2(X10,a417)
            & ndr1_1(X10) )
          | ~ ndr1_0 )
      | sP2 )
    & ( ( c5_1(a415)
        & ~ c4_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ c5_0
      | ~ c4_0 )
    & ( sP0
      | ( ~ c2_1(a412)
        & ! [X11] :
            ( c3_2(a412,X11)
            | ~ c2_2(a412,X11)
            | ~ ndr1_1(a412) )
        & ~ c4_1(a412)
        & ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ~ c4_0
      | ~ c3_0
      | ! [X13] :
          ( ~ c3_1(X13)
          | c5_1(X13)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a411)
        & c2_1(a411)
        & ! [X14] :
            ( c5_2(a411,X14)
            | c3_2(a411,X14)
            | c1_2(a411,X14)
            | ~ ndr1_1(a411) )
        & ndr1_0 )
      | c5_0
      | ~ c3_0 ) ),
    inference(rectify,[],[f16]) ).

fof(f32,plain,
    ( ndr1_0
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ c3_2(a434,X0)
      | c2_2(a434,X0)
      | ~ c4_2(a434,X0)
      | ~ ndr1_1(a434)
      | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f34,plain,
    ( ndr1_1(a434)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f35,plain,
    ( c5_2(a434,a435)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f36,plain,
    ( c4_2(a434,a435)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f37,plain,
    ( c3_2(a434,a435)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f38,plain,
    ( ndr1_1(a434)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f39,plain,
    ( ~ c5_2(a434,a436)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f40,plain,
    ( c3_2(a434,a436)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f41,plain,
    ! [X0] :
      ( sP4(X0)
      | sP3(X0)
      | ndr1_1(X0)
      | ~ ndr1_0
      | ~ sP6 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f42,plain,
    ! [X0] :
      ( sP4(X0)
      | sP3(X0)
      | ~ c4_2(X0,a428)
      | ~ ndr1_0
      | ~ sP6 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f43,plain,
    ! [X0] :
      ( sP4(X0)
      | sP3(X0)
      | ~ c3_2(X0,a428)
      | ~ ndr1_0
      | ~ sP6 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f46,plain,
    ( ~ c2_2(a425,a426)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f47,plain,
    ( c4_2(a425,a426)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f48,plain,
    ( ~ c5_2(a425,a426)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f49,plain,
    ( ~ c3_1(a425)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f50,plain,
    ( ndr1_1(a425)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f51,plain,
    ( ~ c5_2(a425,a427)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f52,plain,
    ( ~ c3_2(a425,a427)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f53,plain,
    ( c2_2(a425,a427)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f54,plain,
    ! [X0] :
      ( ndr1_1(X0)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f55,plain,
    ! [X0] :
      ( c1_2(X0,a430)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ c4_2(X0,a430)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f57,plain,
    ! [X0] :
      ( c5_2(X0,a430)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f58,plain,
    ! [X0] :
      ( ndr1_1(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f59,plain,
    ! [X0] :
      ( c1_2(X0,a429)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ c4_2(X0,a429)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ c5_2(X0,a429)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f63,plain,
    ! [X1] :
      ( ~ c2_2(a416,X1)
      | ~ c5_2(a416,X1)
      | ~ ndr1_1(a416)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f64,plain,
    ( c2_1(a416)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f65,plain,
    ! [X0] :
      ( c5_2(a416,X0)
      | ~ ndr1_1(a416)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f67,plain,
    ( c2_1(a418)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f68,plain,
    ( ndr1_1(a418)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f69,plain,
    ( c4_2(a418,a419)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f70,plain,
    ( ~ c5_2(a418,a419)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f71,plain,
    ( ~ c3_2(a418,a419)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f73,plain,
    ( ~ c2_1(a413)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f74,plain,
    ( ndr1_1(a413)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f75,plain,
    ( ~ c3_2(a413,a414)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f76,plain,
    ( ~ c5_2(a413,a414)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f77,plain,
    ( c1_2(a413,a414)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ c1_2(a413,X0)
      | c5_2(a413,X0)
      | ~ ndr1_1(a413)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f80,plain,
    ! [X14] :
      ( c5_2(a411,X14)
      | c3_2(a411,X14)
      | c1_2(a411,X14)
      | ~ ndr1_1(a411)
      | c5_0
      | ~ c3_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f81,plain,
    ( c2_1(a411)
    | c5_0
    | ~ c3_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f82,plain,
    ( c1_1(a411)
    | c5_0
    | ~ c3_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f83,plain,
    ! [X13] :
      ( ~ c4_0
      | ~ c3_0
      | ~ c3_1(X13)
      | c5_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f85,plain,
    ! [X12] :
      ( sP0
      | ~ c4_1(a412)
      | ~ c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f86,plain,
    ! [X11,X12] :
      ( sP0
      | c3_2(a412,X11)
      | ~ c2_2(a412,X11)
      | ~ ndr1_1(a412)
      | ~ c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f87,plain,
    ! [X12] :
      ( sP0
      | ~ c2_1(a412)
      | ~ c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f89,plain,
    ( c2_1(a415)
    | ~ c5_0
    | ~ c4_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f90,plain,
    ( ~ c4_1(a415)
    | ~ c5_0
    | ~ c4_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f91,plain,
    ( c5_1(a415)
    | ~ c5_0
    | ~ c4_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f92,plain,
    ! [X10] :
      ( sP1
      | ~ c2_1(X10)
      | ndr1_1(X10)
      | ~ ndr1_0
      | sP2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f93,plain,
    ! [X10] :
      ( sP1
      | ~ c2_1(X10)
      | ~ c4_2(X10,a417)
      | ~ ndr1_0
      | sP2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f94,plain,
    ! [X10] :
      ( sP1
      | ~ c2_1(X10)
      | c2_2(X10,a417)
      | ~ ndr1_0
      | sP2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f95,plain,
    ( c4_0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f96,plain,
    ( c4_0
    | ndr1_1(a420) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f97,plain,
    ( c4_0
    | ~ c4_2(a420,a421) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f98,plain,
    ( c4_0
    | c1_2(a420,a421) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f99,plain,
    ( c4_0
    | c4_1(a420) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f100,plain,
    ( c4_0
    | c5_1(a420) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f102,plain,
    ( ~ c5_0
    | ~ c3_0
    | ~ c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f103,plain,
    ( c5_0
    | ~ c4_0
    | c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f109,plain,
    ( ~ c3_0
    | ~ c2_2(a422,a423)
    | c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f117,plain,
    ( c3_1(a431)
    | sP6
    | sP5 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f118,plain,
    ( ~ c1_1(a431)
    | sP6
    | sP5 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f120,plain,
    ! [X4] :
      ( c5_0
      | c4_2(a432,X4)
      | c5_2(a432,X4)
      | ~ c2_2(a432,X4)
      | ~ ndr1_1(a432)
      | c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f121,plain,
    ( c5_0
    | ~ c1_1(a432)
    | c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f122,plain,
    ( c5_0
    | ndr1_1(a432)
    | c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f123,plain,
    ( c5_0
    | ~ c3_2(a432,a433)
    | c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f124,plain,
    ( c5_0
    | ~ c2_2(a432,a433)
    | c1_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f125,plain,
    ( c1_0
    | ~ c3_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f128,plain,
    ( ~ c5_1(a438)
    | ndr1_0
    | sP7 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f129,plain,
    ( ~ c5_1(a438)
    | c4_1(a437)
    | sP7 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f131,plain,
    ( c1_1(a438)
    | c4_1(a437)
    | sP7 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f133,plain,
    ( c2_1(a438)
    | c4_1(a437)
    | sP7 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f135,plain,
    ( c3_0
    | c5_1(a439) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f136,plain,
    ! [X3] :
      ( c3_0
      | c3_2(a439,X3)
      | c5_2(a439,X3)
      | ~ ndr1_1(a439) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f138,plain,
    ! [X2] :
      ( c4_2(a440,X2)
      | ~ c3_2(a440,X2)
      | c2_2(a440,X2)
      | ~ ndr1_1(a440)
      | c1_0
      | c5_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f139,plain,
    ( ~ c5_1(a440)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f140,plain,
    ( c4_1(a440)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f142,plain,
    ! [X0] :
      ( c4_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c5_1(X0)
      | ~ ndr1_0
      | ndr1_1(a441) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f143,plain,
    ! [X0] :
      ( c4_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c5_1(X0)
      | ~ ndr1_0
      | c3_2(a441,a442) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f144,plain,
    ! [X0] :
      ( c4_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c5_1(X0)
      | ~ ndr1_0
      | ~ c1_2(a441,a442) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( c4_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c5_1(X0)
      | ~ ndr1_0
      | ~ c4_2(a441,X1)
      | c5_2(a441,X1)
      | ~ ndr1_1(a441) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f146,plain,
    ! [X0] :
      ( c4_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c5_1(X0)
      | ~ ndr1_0
      | c2_1(a441) ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_49,plain,
    ( ~ sP7
    | c3_2(a434,a436) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_50,plain,
    ( ~ c5_2(a434,a436)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_51,plain,
    ( ~ sP7
    | ndr1_1(a434) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_52,plain,
    ( ~ sP7
    | c3_2(a434,a435) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_53,plain,
    ( ~ sP7
    | c4_2(a434,a435) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_54,plain,
    ( ~ sP7
    | c5_2(a434,a435) ),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_55,plain,
    ( ~ sP7
    | ndr1_1(a434) ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_56,plain,
    ( ~ c3_2(a434,X0)
    | ~ c4_2(a434,X0)
    | ~ ndr1_1(a434)
    | ~ sP7
    | c2_2(a434,X0) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_57,plain,
    ( ~ sP7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_58,plain,
    ( ~ c3_2(X0,a428)
    | ~ ndr1_0
    | ~ sP6
    | sP4(X0)
    | sP3(X0) ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_59,plain,
    ( ~ c4_2(X0,a428)
    | ~ ndr1_0
    | ~ sP6
    | sP4(X0)
    | sP3(X0) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_60,plain,
    ( ~ ndr1_0
    | ~ sP6
    | ndr1_1(X0)
    | sP4(X0)
    | sP3(X0) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_61,plain,
    ( ~ sP5
    | c2_2(a425,a427) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_62,plain,
    ( ~ c3_2(a425,a427)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_63,plain,
    ( ~ c5_2(a425,a427)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_64,plain,
    ( ~ sP5
    | ndr1_1(a425) ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_65,plain,
    ( ~ c3_1(a425)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_66,plain,
    ( ~ c5_2(a425,a426)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_67,plain,
    ( ~ sP5
    | c4_2(a425,a426) ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_68,plain,
    ( ~ c2_2(a425,a426)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_71,plain,
    ( ~ sP4(X0)
    | c5_2(X0,a430) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_72,plain,
    ( ~ c4_2(X0,a430)
    | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_73,plain,
    ( ~ sP4(X0)
    | c1_2(X0,a430) ),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_74,plain,
    ( ~ sP4(X0)
    | ndr1_1(X0) ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_75,plain,
    ( ~ c5_2(X0,a429)
    | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_76,plain,
    ( ~ c4_2(X0,a429)
    | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_77,plain,
    ( ~ sP3(X0)
    | c1_2(X0,a429) ),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_78,plain,
    ( ~ sP3(X0)
    | ndr1_1(X0) ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_79,plain,
    ( ~ ndr1_1(a416)
    | ~ sP2
    | c5_2(a416,X0) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_80,plain,
    ( ~ sP2
    | c2_1(a416) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_81,plain,
    ( ~ c5_2(a416,X0)
    | ~ c2_2(a416,X0)
    | ~ ndr1_1(a416)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_83,plain,
    ( ~ c3_2(a418,a419)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f71]) ).

cnf(c_84,plain,
    ( ~ c5_2(a418,a419)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_85,plain,
    ( ~ sP1
    | c4_2(a418,a419) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_86,plain,
    ( ~ sP1
    | ndr1_1(a418) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_87,plain,
    ( ~ sP1
    | c2_1(a418) ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_89,plain,
    ( ~ c1_2(a413,X0)
    | ~ ndr1_1(a413)
    | ~ sP0
    | c5_2(a413,X0) ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_90,plain,
    ( ~ sP0
    | c1_2(a413,a414) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_91,plain,
    ( ~ c5_2(a413,a414)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_92,plain,
    ( ~ c3_2(a413,a414)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_93,plain,
    ( ~ sP0
    | ndr1_1(a413) ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_94,plain,
    ( ~ c2_1(a413)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_96,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c5_1(X0)
    | c2_1(a441)
    | c4_0 ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_97,negated_conjecture,
    ( ~ c4_2(a441,X0)
    | ~ c1_1(X1)
    | ~ ndr1_1(a441)
    | ~ ndr1_0
    | c5_2(a441,X0)
    | c2_1(X1)
    | c5_1(X1)
    | c4_0 ),
    inference(cnf_transformation,[],[f145]) ).

cnf(c_98,negated_conjecture,
    ( ~ c1_2(a441,a442)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c5_1(X0)
    | c4_0 ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_99,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_2(a441,a442)
    | c2_1(X0)
    | c5_1(X0)
    | c4_0 ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_100,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c5_1(X0)
    | ndr1_1(a441)
    | c4_0 ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_101,negated_conjecture,
    ( c4_1(a440)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_102,negated_conjecture,
    ( ~ c5_1(a440)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_2(a440,X0)
    | ~ ndr1_1(a440)
    | c4_2(a440,X0)
    | c2_2(a440,X0)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f138]) ).

cnf(c_105,negated_conjecture,
    ( ~ ndr1_1(a439)
    | c3_2(a439,X0)
    | c5_2(a439,X0)
    | c3_0 ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_106,negated_conjecture,
    ( c5_1(a439)
    | c3_0 ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_108,negated_conjecture,
    ( c2_1(a438)
    | c4_1(a437)
    | sP7 ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_110,negated_conjecture,
    ( c1_1(a438)
    | c4_1(a437)
    | sP7 ),
    inference(cnf_transformation,[],[f131]) ).

cnf(c_112,negated_conjecture,
    ( ~ c5_1(a438)
    | c4_1(a437)
    | sP7 ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_113,negated_conjecture,
    ( ~ c5_1(a438)
    | sP7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_115,negated_conjecture,
    ( sP7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_116,negated_conjecture,
    ( ~ c3_0
    | c1_0 ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_117,negated_conjecture,
    ( ~ c2_2(a432,a433)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_118,negated_conjecture,
    ( ~ c3_2(a432,a433)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_119,negated_conjecture,
    ( ndr1_1(a432)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_120,negated_conjecture,
    ( ~ c1_1(a432)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_121,negated_conjecture,
    ( ~ c2_2(a432,X0)
    | ~ ndr1_1(a432)
    | c5_2(a432,X0)
    | c4_2(a432,X0)
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_123,negated_conjecture,
    ( ~ c1_1(a431)
    | sP6
    | sP5 ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_124,negated_conjecture,
    ( c3_1(a431)
    | sP6
    | sP5 ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_127,negated_conjecture,
    ( ~ c5_2(X0,a424)
    | ~ c4_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X1)
    | c5_0 ),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_128,negated_conjecture,
    ( ~ c3_2(X0,a424)
    | ~ c4_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X1)
    | c5_0 ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_129,negated_conjecture,
    ( ~ c4_1(X0)
    | ~ ndr1_0
    | c2_2(X1,a424)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X0)
    | c5_0 ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_130,negated_conjecture,
    ( ~ c4_1(X0)
    | ~ ndr1_0
    | ndr1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X0)
    | c5_0 ),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_132,negated_conjecture,
    ( ~ c2_2(a422,a423)
    | ~ c3_0
    | c1_0 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_138,negated_conjecture,
    ( ~ c4_0
    | c1_0
    | c5_0 ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_139,negated_conjecture,
    ( ~ c1_0
    | ~ c5_0
    | ~ c3_0 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_140,negated_conjecture,
    ( ~ c3_2(X0,X1)
    | ~ c4_2(X0,X2)
    | ~ c2_2(X0,X1)
    | ~ c2_2(X0,X2)
    | ~ ndr1_1(X0)
    | ~ ndr1_0
    | ~ c3_0
    | c5_2(X0,X2)
    | c1_2(X0,X1)
    | c4_0 ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_141,negated_conjecture,
    ( c5_1(a420)
    | c4_0 ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_142,negated_conjecture,
    ( c4_1(a420)
    | c4_0 ),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_143,negated_conjecture,
    ( c1_2(a420,a421)
    | c4_0 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_144,negated_conjecture,
    ( ~ c4_2(a420,a421)
    | c4_0 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_145,negated_conjecture,
    ( ndr1_1(a420)
    | c4_0 ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_146,negated_conjecture,
    ( ndr1_0
    | c4_0 ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_147,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c2_2(X0,a417)
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_148,negated_conjecture,
    ( ~ c4_2(X0,a417)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_149,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | ndr1_1(X0)
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_150,negated_conjecture,
    ( ~ c4_0
    | ~ c5_0
    | c5_1(a415) ),
    inference(cnf_transformation,[],[f91]) ).

cnf(c_151,negated_conjecture,
    ( ~ c4_1(a415)
    | ~ c4_0
    | ~ c5_0 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_152,negated_conjecture,
    ( ~ c4_0
    | ~ c5_0
    | c2_1(a415) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_154,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(a412)
    | ~ ndr1_0
    | sP0 ),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_155,negated_conjecture,
    ( ~ c2_2(a412,X0)
    | ~ c2_1(X1)
    | ~ ndr1_1(a412)
    | ~ ndr1_0
    | c3_2(a412,X0)
    | sP0 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_156,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c4_1(a412)
    | ~ ndr1_0
    | sP0 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | ~ c4_0
    | ~ c3_0
    | c5_1(X0) ),
    inference(cnf_transformation,[],[f83]) ).

cnf(c_158,negated_conjecture,
    ( ~ c3_0
    | c1_1(a411)
    | c5_0 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_159,negated_conjecture,
    ( ~ c3_0
    | c2_1(a411)
    | c5_0 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_160,negated_conjecture,
    ( ~ ndr1_1(a411)
    | ~ c3_0
    | c3_2(a411,X0)
    | c5_2(a411,X0)
    | c1_2(a411,X0)
    | c5_0 ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_198,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_146,c_115,c_57]) ).

cnf(c_232,plain,
    ( c2_1(a411)
    | ~ c3_0 ),
    inference(global_subsumption_just,[status(thm)],[c_159,c_116,c_159,c_139]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_0
    | c2_1(a411) ),
    inference(renaming,[status(thm)],[c_232]) ).

cnf(c_234,plain,
    ( c1_1(a411)
    | ~ c3_0 ),
    inference(global_subsumption_just,[status(thm)],[c_158,c_116,c_158,c_139]) ).

cnf(c_235,negated_conjecture,
    ( ~ c3_0
    | c1_1(a411) ),
    inference(renaming,[status(thm)],[c_234]) ).

cnf(c_240,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_113,c_115,c_57]) ).

cnf(c_242,negated_conjecture,
    ( ~ c5_0
    | ~ c3_0 ),
    inference(global_subsumption_just,[status(thm)],[c_139,c_116,c_139]) ).

cnf(c_252,negated_conjecture,
    ( ~ c3_0
    | c1_0 ),
    inference(global_subsumption_just,[status(thm)],[c_132,c_116]) ).

cnf(c_254,plain,
    ( ~ c4_1(a412)
    | ~ c2_1(X0)
    | sP0 ),
    inference(global_subsumption_just,[status(thm)],[c_156,c_115,c_57,c_156]) ).

cnf(c_255,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c4_1(a412)
    | sP0 ),
    inference(renaming,[status(thm)],[c_254]) ).

cnf(c_257,plain,
    ( ~ c2_1(a412)
    | ~ c2_1(X0)
    | sP0 ),
    inference(global_subsumption_just,[status(thm)],[c_154,c_115,c_57,c_154]) ).

cnf(c_258,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(a412)
    | sP0 ),
    inference(renaming,[status(thm)],[c_257]) ).

cnf(c_260,negated_conjecture,
    ( ~ c2_1(X0)
    | ndr1_1(X0)
    | sP2
    | sP1 ),
    inference(global_subsumption_just,[status(thm)],[c_149,c_115,c_57,c_149]) ).

cnf(c_263,negated_conjecture,
    ( ~ c2_1(X0)
    | c2_2(X0,a417)
    | sP2
    | sP1 ),
    inference(global_subsumption_just,[status(thm)],[c_147,c_115,c_57,c_147]) ).

cnf(c_266,plain,
    ( ~ sP6
    | ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_115,c_57,c_78,c_74,c_60]) ).

cnf(c_269,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c4_0
    | ~ c3_0
    | c5_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_157,c_115,c_57,c_157]) ).

cnf(c_272,plain,
    ( ~ c2_1(X0)
    | ~ c4_2(X0,a417)
    | sP2
    | sP1 ),
    inference(global_subsumption_just,[status(thm)],[c_148,c_115,c_57,c_148]) ).

cnf(c_273,negated_conjecture,
    ( ~ c4_2(X0,a417)
    | ~ c2_1(X0)
    | sP2
    | sP1 ),
    inference(renaming,[status(thm)],[c_272]) ).

cnf(c_275,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c5_1(X0)
    | ndr1_1(a441)
    | c4_0 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_115,c_57,c_100]) ).

cnf(c_278,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c5_1(X0)
    | c2_1(a441)
    | c4_0 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_115,c_57,c_96]) ).

cnf(c_281,plain,
    ( ~ c1_2(a413,X0)
    | ~ sP0
    | c5_2(a413,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_93,c_89]) ).

cnf(c_284,plain,
    ( ~ c4_2(X0,a428)
    | ~ sP6
    | sP4(X0)
    | sP3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_115,c_57,c_59]) ).

cnf(c_287,plain,
    ( ~ c3_2(X0,a428)
    | ~ sP6
    | sP4(X0)
    | sP3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_115,c_57,c_58]) ).

cnf(c_290,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_2(a441,a442)
    | c2_1(X0)
    | c5_1(X0)
    | c4_0 ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_115,c_57,c_99]) ).

cnf(c_293,plain,
    ( ~ c2_2(a416,X0)
    | ~ ndr1_1(a416)
    | ~ sP2 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_79,c_81]) ).

cnf(c_296,plain,
    ( ~ c1_1(X0)
    | ~ c1_2(a441,a442)
    | c2_1(X0)
    | c5_1(X0)
    | c4_0 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_115,c_57,c_98]) ).

cnf(c_297,negated_conjecture,
    ( ~ c1_2(a441,a442)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c5_1(X0)
    | c4_0 ),
    inference(renaming,[status(thm)],[c_296]) ).

cnf(c_299,plain,
    ( c1_2(a411,X0)
    | c5_2(a411,X0)
    | c3_2(a411,X0)
    | ~ c3_0
    | ~ ndr1_1(a411) ),
    inference(global_subsumption_just,[status(thm)],[c_160,c_160,c_242]) ).

cnf(c_300,negated_conjecture,
    ( ~ ndr1_1(a411)
    | ~ c3_0
    | c3_2(a411,X0)
    | c5_2(a411,X0)
    | c1_2(a411,X0) ),
    inference(renaming,[status(thm)],[c_299]) ).

cnf(c_302,negated_conjecture,
    ( ~ c2_2(a432,X0)
    | c5_2(a432,X0)
    | c4_2(a432,X0)
    | c1_0
    | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_119,c_121]) ).

cnf(c_305,plain,
    ( ~ ndr1_1(a412)
    | ~ c2_1(X1)
    | ~ c2_2(a412,X0)
    | c3_2(a412,X0)
    | sP0 ),
    inference(global_subsumption_just,[status(thm)],[c_155,c_115,c_57,c_155]) ).

cnf(c_306,negated_conjecture,
    ( ~ c2_2(a412,X0)
    | ~ c2_1(X1)
    | ~ ndr1_1(a412)
    | c3_2(a412,X0)
    | sP0 ),
    inference(renaming,[status(thm)],[c_305]) ).

cnf(c_308,negated_conjecture,
    ( ~ c4_1(X0)
    | ndr1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X0)
    | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_130,c_115,c_57,c_130]) ).

cnf(c_311,plain,
    ( ~ c4_2(a434,X0)
    | ~ c3_2(a434,X0)
    | ~ sP7
    | c2_2(a434,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_55,c_56]) ).

cnf(c_312,plain,
    ( ~ c3_2(a434,X0)
    | ~ c4_2(a434,X0)
    | ~ sP7
    | c2_2(a434,X0) ),
    inference(renaming,[status(thm)],[c_311]) ).

cnf(c_314,negated_conjecture,
    ( ~ c4_1(X0)
    | c2_2(X1,a424)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X0)
    | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_129,c_115,c_57,c_129]) ).

cnf(c_317,plain,
    ( ~ c4_1(X1)
    | ~ c3_2(X0,a424)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X1)
    | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_115,c_57,c_128]) ).

cnf(c_318,negated_conjecture,
    ( ~ c3_2(X0,a424)
    | ~ c4_1(X1)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X1)
    | c5_0 ),
    inference(renaming,[status(thm)],[c_317]) ).

cnf(c_320,plain,
    ( ~ c4_1(X1)
    | ~ c5_2(X0,a424)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X1)
    | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_115,c_57,c_127]) ).

cnf(c_321,negated_conjecture,
    ( ~ c5_2(X0,a424)
    | ~ c4_1(X1)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c5_1(X1)
    | c5_0 ),
    inference(renaming,[status(thm)],[c_320]) ).

cnf(c_323,plain,
    ( ~ ndr1_1(a441)
    | ~ c1_1(X1)
    | ~ c4_2(a441,X0)
    | c5_2(a441,X0)
    | c2_1(X1)
    | c5_1(X1)
    | c4_0 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_97,c_198]) ).

cnf(c_324,negated_conjecture,
    ( ~ c4_2(a441,X0)
    | ~ c1_1(X1)
    | ~ ndr1_1(a441)
    | c5_2(a441,X0)
    | c2_1(X1)
    | c5_1(X1)
    | c4_0 ),
    inference(renaming,[status(thm)],[c_323]) ).

cnf(c_326,plain,
    ( ~ ndr1_1(X0)
    | ~ c2_2(X0,X2)
    | ~ c2_2(X0,X1)
    | ~ c4_2(X0,X2)
    | ~ c3_2(X0,X1)
    | ~ c3_0
    | c5_2(X0,X2)
    | c1_2(X0,X1)
    | c4_0 ),
    inference(global_subsumption_just,[status(thm)],[c_140,c_115,c_57,c_140]) ).

cnf(c_327,negated_conjecture,
    ( ~ c3_2(X0,X1)
    | ~ c4_2(X0,X2)
    | ~ c2_2(X0,X1)
    | ~ c2_2(X0,X2)
    | ~ ndr1_1(X0)
    | ~ c3_0
    | c5_2(X0,X2)
    | c1_2(X0,X1)
    | c4_0 ),
    inference(renaming,[status(thm)],[c_326]) ).

cnf(c_700,plain,
    ( ~ c4_2(a441,X0)
    | ~ c1_1(X1)
    | c5_2(a441,X0)
    | c2_1(X1)
    | c5_1(X1)
    | c4_0 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_324,c_275]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN532+1 : TPTP v8.1.2. Released v2.1.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 19:56:42 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.39/1.16  % SZS status Started for theBenchmark.p
% 1.39/1.16  % SZS status CounterSatisfiable for theBenchmark.p
% 1.39/1.16  
% 1.39/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.39/1.16  
% 1.39/1.16  ------  iProver source info
% 1.39/1.16  
% 1.39/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.39/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.39/1.16  git: non_committed_changes: false
% 1.39/1.16  git: last_make_outside_of_git: false
% 1.39/1.16  
% 1.39/1.16  ------ Parsing...
% 1.39/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.39/1.16  
% 1.39/1.16  
% 1.39/1.16  ------ Preprocessing... sf_s  rm: 87 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.39/1.16  
% 1.39/1.16  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.39/1.16   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.39/1.16  ------ Proving...
% 1.39/1.16  ------ Problem Properties 
% 1.39/1.16  
% 1.39/1.16  
% 1.39/1.16  clauses                                 0
% 1.39/1.16  conjectures                             0
% 1.39/1.16  EPR                                     0
% 1.39/1.16  Horn                                    0
% 1.39/1.16  unary                                   0
% 1.39/1.16  binary                                  0
% 1.39/1.16  lits                                    0
% 1.39/1.16  lits eq                                 0
% 1.39/1.16  fd_pure                                 0
% 1.39/1.16  fd_pseudo                               0
% 1.39/1.16  fd_cond                                 0
% 1.39/1.16  fd_pseudo_cond                          0
% 1.39/1.16  AC symbols                              0
% 1.39/1.16  
% 1.39/1.16  ------ Schedule EPR Horn non eq is on
% 1.39/1.16  
% 1.39/1.16  ------ no conjectures: strip conj schedule 
% 1.39/1.16  
% 1.39/1.16  ------ no equalities: superposition off 
% 1.39/1.16  
% 1.39/1.16  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.39/1.16  
% 1.39/1.16  
% 1.39/1.16  
% 1.39/1.16  
% 1.39/1.16  % SZS status CounterSatisfiable for theBenchmark.p
% 1.39/1.16  
% 1.39/1.16  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.39/1.16  
% 1.39/1.16  
%------------------------------------------------------------------------------