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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MSC010+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n010.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 : Tue May  5 04:48:56 PM UTC 2026

% Result   : Theorem 0.32s 1.61s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_3)

% Comments : 
%------------------------------------------------------------------------------
fof(n1,axiom,
    ( ( pv63 != pv64
      & leq(n0,pv5)
      & leq(n0,pv63)
      & leq(n0,pv64)
      & leq(pv5,n998)
      & leq(pv63,n5)
      & leq(pv64,n5)
      & ! [X1,X2] :
          ( ( leq(n0,X1)
            & leq(n0,X2)
            & leq(X1,n2)
            & leq(X2,n5) )
         => a_select3(h_ds1_filter_init,X1,X2) = init )
      & ! [X3,X4] :
          ( ( leq(n0,X3)
            & leq(n0,X4)
            & leq(X3,n5)
            & leq(X4,n5) )
         => a_select3(phi_ds1_filter_init,X3,X4) = init )
      & ! [X5,X6] :
          ( ( leq(n0,X5)
            & leq(n0,X6)
            & leq(X5,n5)
            & leq(X6,n0) )
         => a_select3(dv_ds1_filter_init,X5,X6) = init )
      & ! [X7,X8] :
          ( ( leq(n0,X7)
            & leq(n0,X8)
            & leq(X7,n5)
            & leq(X8,n5) )
         => a_select3(q_ds1_filter_init,X7,X8) = init )
      & ! [X9,X10] :
          ( ( leq(n0,X9)
            & leq(n0,X10)
            & leq(X9,n2)
            & leq(X10,n2) )
         => a_select3(r_ds1_filter_init,X9,X10) = init )
      & ! [X11,X12] :
          ( ( leq(n0,X11)
            & leq(n0,X12)
            & leq(X11,n5)
            & leq(X12,n0) )
         => a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
      & ! [X13,X14] :
          ( ( leq(n0,X13)
            & leq(n0,X14)
            & leq(X13,n5)
            & leq(X14,n5) )
         => a_select3(pminus_ds1_filter_init,X13,X14) = init )
      & ! [X15,X16] :
          ( ( leq(n0,X15)
            & leq(n0,X16)
            & leq(X15,n5)
            & leq(X16,n5) )
         => ( ( X15 = pv63
              & gt(pv64,X16) )
           => a_select3(id_ds1_filter_init,X15,X16) = init ) )
      & ! [X17,X18] :
          ( ( leq(n0,X17)
            & leq(n0,X18)
            & leq(X17,n5)
            & leq(X18,n5) )
         => ( gt(pv63,X17)
           => a_select3(id_ds1_filter_init,X17,X18) = init ) )
      & ! [X19] :
          ( ( leq(n0,X19)
            & leq(X19,pred(pv63)) )
         => ! [X20] :
              ( ( leq(n0,X20)
                & leq(X20,n5) )
             => a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
   => ! [X21,X22] :
        ( ( leq(n0,X21)
          & leq(n0,X22)
          & leq(X21,n5)
          & leq(X22,n5) )
       => ( ( pv64 != X22
            & X21 = pv63
            & leq(X22,pv64) )
         => a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1) ).

fof(n91,conjecture,
    ~ ~ ( ( pv63 != pv64
          & leq(n0,pv5)
          & leq(n0,pv63)
          & leq(n0,pv64)
          & leq(pv5,n998)
          & leq(pv63,n5)
          & leq(pv64,n5)
          & ! [X1,X2] :
              ( ( leq(n0,X1)
                & leq(n0,X2)
                & leq(X1,n2)
                & leq(X2,n5) )
             => a_select3(h_ds1_filter_init,X1,X2) = init )
          & ! [X3,X4] :
              ( ( leq(n0,X3)
                & leq(n0,X4)
                & leq(X3,n5)
                & leq(X4,n5) )
             => a_select3(phi_ds1_filter_init,X3,X4) = init )
          & ! [X5,X6] :
              ( ( leq(n0,X5)
                & leq(n0,X6)
                & leq(X5,n5)
                & leq(X6,n0) )
             => a_select3(dv_ds1_filter_init,X5,X6) = init )
          & ! [X7,X8] :
              ( ( leq(n0,X7)
                & leq(n0,X8)
                & leq(X7,n5)
                & leq(X8,n5) )
             => a_select3(q_ds1_filter_init,X7,X8) = init )
          & ! [X9,X10] :
              ( ( leq(n0,X9)
                & leq(n0,X10)
                & leq(X9,n2)
                & leq(X10,n2) )
             => a_select3(r_ds1_filter_init,X9,X10) = init )
          & ! [X11,X12] :
              ( ( leq(n0,X11)
                & leq(n0,X12)
                & leq(X11,n5)
                & leq(X12,n0) )
             => a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
          & ! [X13,X14] :
              ( ( leq(n0,X13)
                & leq(n0,X14)
                & leq(X13,n5)
                & leq(X14,n5) )
             => a_select3(pminus_ds1_filter_init,X13,X14) = init )
          & ! [X15,X16] :
              ( ( leq(n0,X15)
                & leq(n0,X16)
                & leq(X15,n5)
                & leq(X16,n5) )
             => ( ( X15 = pv63
                  & gt(pv64,X16) )
               => a_select3(id_ds1_filter_init,X15,X16) = init ) )
          & ! [X17,X18] :
              ( ( leq(n0,X17)
                & leq(n0,X18)
                & leq(X17,n5)
                & leq(X18,n5) )
             => ( gt(pv63,X17)
               => a_select3(id_ds1_filter_init,X17,X18) = init ) )
          & ! [X19] :
              ( ( leq(n0,X19)
                & leq(X19,pred(pv63)) )
             => ! [X20] :
                  ( ( leq(n0,X20)
                    & leq(X20,n5) )
                 => a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
       => ! [X21,X22] :
            ( ( leq(n0,X21)
              & leq(n0,X22)
              & leq(X21,n5)
              & leq(X22,n5) )
           => ( ( pv64 != X22
                & X21 = pv63
                & leq(X22,pv64) )
             => a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n91) ).

fof(i_0_2,plain,
    ( epred5_0
  <=> ( pv63 != pv64
      & leq(n0,pv5)
      & leq(n0,pv63)
      & leq(n0,pv64)
      & leq(pv5,n998)
      & leq(pv63,n5)
      & leq(pv64,n5)
      & ! [X1,X2] :
          ( ( leq(n0,X1)
            & leq(n0,X2)
            & leq(X1,n2)
            & leq(X2,n5) )
         => a_select3(h_ds1_filter_init,X1,X2) = init )
      & ! [X3,X4] :
          ( ( leq(n0,X3)
            & leq(n0,X4)
            & leq(X3,n5)
            & leq(X4,n5) )
         => a_select3(phi_ds1_filter_init,X3,X4) = init )
      & ! [X5,X6] :
          ( ( leq(n0,X5)
            & leq(n0,X6)
            & leq(X5,n5)
            & leq(X6,n0) )
         => a_select3(dv_ds1_filter_init,X5,X6) = init )
      & ! [X7,X8] :
          ( ( leq(n0,X7)
            & leq(n0,X8)
            & leq(X7,n5)
            & leq(X8,n5) )
         => a_select3(q_ds1_filter_init,X7,X8) = init )
      & ! [X9,X10] :
          ( ( leq(n0,X9)
            & leq(n0,X10)
            & leq(X9,n2)
            & leq(X10,n2) )
         => a_select3(r_ds1_filter_init,X9,X10) = init )
      & ! [X11,X12] :
          ( ( leq(n0,X11)
            & leq(n0,X12)
            & leq(X11,n5)
            & leq(X12,n0) )
         => a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
      & ! [X13,X14] :
          ( ( leq(n0,X13)
            & leq(n0,X14)
            & leq(X13,n5)
            & leq(X14,n5) )
         => a_select3(pminus_ds1_filter_init,X13,X14) = init )
      & ! [X15,X16] :
          ( ( leq(n0,X15)
            & leq(n0,X16)
            & leq(X15,n5)
            & leq(X16,n5) )
         => ( ( X15 = pv63
              & gt(pv64,X16) )
           => a_select3(id_ds1_filter_init,X15,X16) = init ) )
      & ! [X17,X18] :
          ( ( leq(n0,X17)
            & leq(n0,X18)
            & leq(X17,n5)
            & leq(X18,n5) )
         => ( gt(pv63,X17)
           => a_select3(id_ds1_filter_init,X17,X18) = init ) )
      & ! [X19] :
          ( ( leq(n0,X19)
            & leq(X19,pred(pv63)) )
         => ! [X20] :
              ( ( leq(n0,X20)
                & leq(X20,n5) )
             => a_select3(id_ds1_filter_init,X19,X20) = init ) ) ) ),
    introduced(definition) ).

fof(i_0_3,plain,
    ( epred4_0
  <=> ( pv63 != pv64
      & leq(n0,pv5)
      & leq(n0,pv63)
      & leq(n0,pv64)
      & leq(pv5,n998)
      & leq(pv63,n5)
      & leq(pv64,n5)
      & ! [X1,X2] :
          ( ( leq(n0,X1)
            & leq(n0,X2)
            & leq(X1,n2)
            & leq(X2,n5) )
         => a_select3(h_ds1_filter_init,X1,X2) = init )
      & ! [X3,X4] :
          ( ( leq(n0,X3)
            & leq(n0,X4)
            & leq(X3,n5)
            & leq(X4,n5) )
         => a_select3(phi_ds1_filter_init,X3,X4) = init )
      & ! [X5,X6] :
          ( ( leq(n0,X5)
            & leq(n0,X6)
            & leq(X5,n5)
            & leq(X6,n0) )
         => a_select3(dv_ds1_filter_init,X5,X6) = init )
      & ! [X7,X8] :
          ( ( leq(n0,X7)
            & leq(n0,X8)
            & leq(X7,n5)
            & leq(X8,n5) )
         => a_select3(q_ds1_filter_init,X7,X8) = init )
      & ! [X9,X10] :
          ( ( leq(n0,X9)
            & leq(n0,X10)
            & leq(X9,n2)
            & leq(X10,n2) )
         => a_select3(r_ds1_filter_init,X9,X10) = init )
      & ! [X11,X12] :
          ( ( leq(n0,X11)
            & leq(n0,X12)
            & leq(X11,n5)
            & leq(X12,n0) )
         => a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
      & ! [X13,X14] :
          ( ( leq(n0,X13)
            & leq(n0,X14)
            & leq(X13,n5)
            & leq(X14,n5) )
         => a_select3(pminus_ds1_filter_init,X13,X14) = init )
      & ! [X15,X16] :
          ( ( leq(n0,X15)
            & leq(n0,X16)
            & leq(X15,n5)
            & leq(X16,n5) )
         => ( ( X15 = pv63
              & gt(pv64,X16) )
           => a_select3(id_ds1_filter_init,X15,X16) = init ) ) ) ),
    introduced(definition) ).

fof(i_0_4,plain,
    ( epred3_0
  <=> ( pv63 != pv64
      & leq(n0,pv5)
      & leq(n0,pv63)
      & leq(n0,pv64)
      & leq(pv5,n998)
      & leq(pv63,n5)
      & leq(pv64,n5)
      & ! [X1,X2] :
          ( ( leq(n0,X1)
            & leq(n0,X2)
            & leq(X1,n2)
            & leq(X2,n5) )
         => a_select3(h_ds1_filter_init,X1,X2) = init )
      & ! [X3,X4] :
          ( ( leq(n0,X3)
            & leq(n0,X4)
            & leq(X3,n5)
            & leq(X4,n5) )
         => a_select3(phi_ds1_filter_init,X3,X4) = init )
      & ! [X5,X6] :
          ( ( leq(n0,X5)
            & leq(n0,X6)
            & leq(X5,n5)
            & leq(X6,n0) )
         => a_select3(dv_ds1_filter_init,X5,X6) = init )
      & ! [X7,X8] :
          ( ( leq(n0,X7)
            & leq(n0,X8)
            & leq(X7,n5)
            & leq(X8,n5) )
         => a_select3(q_ds1_filter_init,X7,X8) = init )
      & ! [X9,X10] :
          ( ( leq(n0,X9)
            & leq(n0,X10)
            & leq(X9,n2)
            & leq(X10,n2) )
         => a_select3(r_ds1_filter_init,X9,X10) = init )
      & ! [X11,X12] :
          ( ( leq(n0,X11)
            & leq(n0,X12)
            & leq(X11,n5)
            & leq(X12,n0) )
         => a_select3(xhatmin_ds1_filter_init,X11,X12) = init ) ) ),
    introduced(definition) ).

fof(i_0_5,plain,
    ( epred2_0
  <=> ( pv63 != pv64
      & leq(n0,pv5)
      & leq(n0,pv63)
      & leq(n0,pv64)
      & leq(pv5,n998)
      & leq(pv63,n5)
      & leq(pv64,n5)
      & ! [X1,X2] :
          ( ( leq(n0,X1)
            & leq(n0,X2)
            & leq(X1,n2)
            & leq(X2,n5) )
         => a_select3(h_ds1_filter_init,X1,X2) = init )
      & ! [X3,X4] :
          ( ( leq(n0,X3)
            & leq(n0,X4)
            & leq(X3,n5)
            & leq(X4,n5) )
         => a_select3(phi_ds1_filter_init,X3,X4) = init )
      & ! [X5,X6] :
          ( ( leq(n0,X5)
            & leq(n0,X6)
            & leq(X5,n5)
            & leq(X6,n0) )
         => a_select3(dv_ds1_filter_init,X5,X6) = init )
      & ! [X7,X8] :
          ( ( leq(n0,X7)
            & leq(n0,X8)
            & leq(X7,n5)
            & leq(X8,n5) )
         => a_select3(q_ds1_filter_init,X7,X8) = init ) ) ),
    introduced(definition) ).

fof(i_0_6,plain,
    ( epred1_0
  <=> ( pv63 != pv64
      & leq(n0,pv5)
      & leq(n0,pv63)
      & leq(n0,pv64)
      & leq(pv5,n998)
      & leq(pv63,n5)
      & leq(pv64,n5)
      & ! [X1,X2] :
          ( ( leq(n0,X1)
            & leq(n0,X2)
            & leq(X1,n2)
            & leq(X2,n5) )
         => a_select3(h_ds1_filter_init,X1,X2) = init )
      & ! [X3,X4] :
          ( ( leq(n0,X3)
            & leq(n0,X4)
            & leq(X3,n5)
            & leq(X4,n5) )
         => a_select3(phi_ds1_filter_init,X3,X4) = init ) ) ),
    introduced(definition) ).

fof(i_0_7,axiom,
    ( epred5_0
   => ! [X21,X22] :
        ( ( leq(n0,X21)
          & leq(n0,X22)
          & leq(X21,n5)
          & leq(X22,n5) )
       => ( ( pv64 != X22
            & X21 = pv63
            & leq(X22,pv64) )
         => a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
    inference(apply_def,[status(thm)],[n1,c_0_2]) ).

fof(i_0_8,plain,
    ( epred5_0
  <=> ( epred4_0
      & ! [X17,X18] :
          ( ( leq(n0,X17)
            & leq(n0,X18)
            & leq(X17,n5)
            & leq(X18,n5) )
         => ( gt(pv63,X17)
           => a_select3(id_ds1_filter_init,X17,X18) = init ) )
      & ! [X19] :
          ( ( leq(n0,X19)
            & leq(X19,pred(pv63)) )
         => ! [X20] :
              ( ( leq(n0,X20)
                & leq(X20,n5) )
             => a_select3(id_ds1_filter_init,X19,X20) = init ) ) ) ),
    inference(apply_def,[status(thm)],[i_0_2,c_0_3]) ).

fof(i_0_9,plain,
    ( epred4_0
  <=> ( epred3_0
      & ! [X13,X14] :
          ( ( leq(n0,X13)
            & leq(n0,X14)
            & leq(X13,n5)
            & leq(X14,n5) )
         => a_select3(pminus_ds1_filter_init,X13,X14) = init )
      & ! [X15,X16] :
          ( ( leq(n0,X15)
            & leq(n0,X16)
            & leq(X15,n5)
            & leq(X16,n5) )
         => ( ( X15 = pv63
              & gt(pv64,X16) )
           => a_select3(id_ds1_filter_init,X15,X16) = init ) ) ) ),
    inference(apply_def,[status(thm)],[i_0_3,c_0_4]) ).

fof(i_0_10,plain,
    ( epred3_0
  <=> ( epred2_0
      & ! [X9,X10] :
          ( ( leq(n0,X9)
            & leq(n0,X10)
            & leq(X9,n2)
            & leq(X10,n2) )
         => a_select3(r_ds1_filter_init,X9,X10) = init )
      & ! [X11,X12] :
          ( ( leq(n0,X11)
            & leq(n0,X12)
            & leq(X11,n5)
            & leq(X12,n0) )
         => a_select3(xhatmin_ds1_filter_init,X11,X12) = init ) ) ),
    inference(apply_def,[status(thm)],[i_0_4,c_0_5]) ).

fof(i_0_11,plain,
    ( epred2_0
  <=> ( epred1_0
      & ! [X5,X6] :
          ( ( leq(n0,X5)
            & leq(n0,X6)
            & leq(X5,n5)
            & leq(X6,n0) )
         => a_select3(dv_ds1_filter_init,X5,X6) = init )
      & ! [X7,X8] :
          ( ( leq(n0,X7)
            & leq(n0,X8)
            & leq(X7,n5)
            & leq(X8,n5) )
         => a_select3(q_ds1_filter_init,X7,X8) = init ) ) ),
    inference(apply_def,[status(thm)],[i_0_5,c_0_6]) ).

fof(i_0_12,negated_conjecture,
    ~ ~ ~ ( epred5_0
         => ! [X21,X22] :
              ( ( leq(n0,X21)
                & leq(n0,X22)
                & leq(X21,n5)
                & leq(X22,n5) )
             => ( ( pv64 != X22
                  & X21 = pv63
                  & leq(X22,pv64) )
               => a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[n91]),c_0_2]) ).

fof(i_0_13,plain,
    ! [X71,X72,X73,X74] :
      ( ( pv63 != pv64
        | ~ epred1_0 )
      & ( leq(n0,pv5)
        | ~ epred1_0 )
      & ( leq(n0,pv63)
        | ~ epred1_0 )
      & ( leq(n0,pv64)
        | ~ epred1_0 )
      & ( leq(pv5,n998)
        | ~ epred1_0 )
      & ( leq(pv63,n5)
        | ~ epred1_0 )
      & ( leq(pv64,n5)
        | ~ epred1_0 )
      & ( ~ leq(n0,X71)
        | ~ leq(n0,X72)
        | ~ leq(X71,n2)
        | ~ leq(X72,n5)
        | a_select3(h_ds1_filter_init,X71,X72) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X73)
        | ~ leq(n0,X74)
        | ~ leq(X73,n5)
        | ~ leq(X74,n5)
        | a_select3(phi_ds1_filter_init,X73,X74) = init
        | ~ epred1_0 )
      & ( leq(n0,esk5_0)
        | leq(n0,esk3_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk6_0)
        | leq(n0,esk3_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk5_0,n5)
        | leq(n0,esk3_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk6_0,n5)
        | leq(n0,esk3_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
        | leq(n0,esk3_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk5_0)
        | leq(n0,esk4_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk6_0)
        | leq(n0,esk4_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk5_0,n5)
        | leq(n0,esk4_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk6_0,n5)
        | leq(n0,esk4_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
        | leq(n0,esk4_0)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk5_0)
        | leq(esk3_0,n2)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk6_0)
        | leq(esk3_0,n2)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk5_0,n5)
        | leq(esk3_0,n2)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk6_0,n5)
        | leq(esk3_0,n2)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
        | leq(esk3_0,n2)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk5_0)
        | leq(esk4_0,n5)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk6_0)
        | leq(esk4_0,n5)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk5_0,n5)
        | leq(esk4_0,n5)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk6_0,n5)
        | leq(esk4_0,n5)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
        | leq(esk4_0,n5)
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk5_0)
        | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(n0,esk6_0)
        | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk5_0,n5)
        | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( leq(esk6_0,n5)
        | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 )
      & ( a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
        | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
        | pv63 = pv64
        | ~ leq(n0,pv5)
        | ~ leq(n0,pv63)
        | ~ leq(n0,pv64)
        | ~ leq(pv5,n998)
        | ~ leq(pv63,n5)
        | ~ leq(pv64,n5)
        | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_6])])])])]) ).

fof(i_0_14,plain,
    ! [X67,X68] :
      ( ~ epred5_0
      | ~ leq(n0,X67)
      | ~ leq(n0,X68)
      | ~ leq(X67,n5)
      | ~ leq(X68,n5)
      | pv64 = X68
      | X67 != pv63
      | ~ leq(X68,pv64)
      | a_select3(id_ds1_filter_init,X67,X68) = init ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_7])])]) ).

fof(i_0_15,plain,
    ! [X103,X104,X105,X106] :
      ( ( epred4_0
        | ~ epred5_0 )
      & ( ~ leq(n0,X103)
        | ~ leq(n0,X104)
        | ~ leq(X103,n5)
        | ~ leq(X104,n5)
        | ~ gt(pv63,X103)
        | a_select3(id_ds1_filter_init,X103,X104) = init
        | ~ epred5_0 )
      & ( ~ leq(n0,X105)
        | ~ leq(X105,pred(pv63))
        | ~ leq(n0,X106)
        | ~ leq(X106,n5)
        | a_select3(id_ds1_filter_init,X105,X106) = init
        | ~ epred5_0 )
      & ( leq(n0,esk21_0)
        | leq(n0,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk21_0,pred(pv63))
        | leq(n0,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk22_0)
        | leq(n0,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk22_0,n5)
        | leq(n0,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
        | leq(n0,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk21_0)
        | leq(n0,esk20_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk21_0,pred(pv63))
        | leq(n0,esk20_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk22_0)
        | leq(n0,esk20_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk22_0,n5)
        | leq(n0,esk20_0)
        | ~ epred4_0
        | epred5_0 )
      & ( a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
        | leq(n0,esk20_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk21_0)
        | leq(esk19_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk21_0,pred(pv63))
        | leq(esk19_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk22_0)
        | leq(esk19_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk22_0,n5)
        | leq(esk19_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
        | leq(esk19_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk21_0)
        | leq(esk20_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk21_0,pred(pv63))
        | leq(esk20_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk22_0)
        | leq(esk20_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk22_0,n5)
        | leq(esk20_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
        | leq(esk20_0,n5)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk21_0)
        | gt(pv63,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk21_0,pred(pv63))
        | gt(pv63,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk22_0)
        | gt(pv63,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk22_0,n5)
        | gt(pv63,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
        | gt(pv63,esk19_0)
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk21_0)
        | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk21_0,pred(pv63))
        | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
        | ~ epred4_0
        | epred5_0 )
      & ( leq(n0,esk22_0)
        | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
        | ~ epred4_0
        | epred5_0 )
      & ( leq(esk22_0,n5)
        | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
        | ~ epred4_0
        | epred5_0 )
      & ( a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
        | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
        | ~ epred4_0
        | epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_8])])])])]) ).

fof(i_0_16,plain,
    ! [X95,X96,X97,X98] :
      ( ( epred3_0
        | ~ epred4_0 )
      & ( ~ leq(n0,X95)
        | ~ leq(n0,X96)
        | ~ leq(X95,n5)
        | ~ leq(X96,n5)
        | a_select3(pminus_ds1_filter_init,X95,X96) = init
        | ~ epred4_0 )
      & ( ~ leq(n0,X97)
        | ~ leq(n0,X98)
        | ~ leq(X97,n5)
        | ~ leq(X98,n5)
        | X97 != pv63
        | ~ gt(pv64,X98)
        | a_select3(id_ds1_filter_init,X97,X98) = init
        | ~ epred4_0 )
      & ( leq(n0,esk17_0)
        | leq(n0,esk15_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk18_0)
        | leq(n0,esk15_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk17_0,n5)
        | leq(n0,esk15_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk18_0,n5)
        | leq(n0,esk15_0)
        | ~ epred3_0
        | epred4_0 )
      & ( esk17_0 = pv63
        | leq(n0,esk15_0)
        | ~ epred3_0
        | epred4_0 )
      & ( gt(pv64,esk18_0)
        | leq(n0,esk15_0)
        | ~ epred3_0
        | epred4_0 )
      & ( a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
        | leq(n0,esk15_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk17_0)
        | leq(n0,esk16_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk18_0)
        | leq(n0,esk16_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk17_0,n5)
        | leq(n0,esk16_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk18_0,n5)
        | leq(n0,esk16_0)
        | ~ epred3_0
        | epred4_0 )
      & ( esk17_0 = pv63
        | leq(n0,esk16_0)
        | ~ epred3_0
        | epred4_0 )
      & ( gt(pv64,esk18_0)
        | leq(n0,esk16_0)
        | ~ epred3_0
        | epred4_0 )
      & ( a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
        | leq(n0,esk16_0)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk17_0)
        | leq(esk15_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk18_0)
        | leq(esk15_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk17_0,n5)
        | leq(esk15_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk18_0,n5)
        | leq(esk15_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( esk17_0 = pv63
        | leq(esk15_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( gt(pv64,esk18_0)
        | leq(esk15_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
        | leq(esk15_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk17_0)
        | leq(esk16_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk18_0)
        | leq(esk16_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk17_0,n5)
        | leq(esk16_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk18_0,n5)
        | leq(esk16_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( esk17_0 = pv63
        | leq(esk16_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( gt(pv64,esk18_0)
        | leq(esk16_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
        | leq(esk16_0,n5)
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk17_0)
        | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
        | ~ epred3_0
        | epred4_0 )
      & ( leq(n0,esk18_0)
        | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk17_0,n5)
        | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
        | ~ epred3_0
        | epred4_0 )
      & ( leq(esk18_0,n5)
        | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
        | ~ epred3_0
        | epred4_0 )
      & ( esk17_0 = pv63
        | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
        | ~ epred3_0
        | epred4_0 )
      & ( gt(pv64,esk18_0)
        | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
        | ~ epred3_0
        | epred4_0 )
      & ( a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
        | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
        | ~ epred3_0
        | epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_9])])])])]) ).

fof(i_0_17,plain,
    ! [X87,X88,X89,X90] :
      ( ( epred2_0
        | ~ epred3_0 )
      & ( ~ leq(n0,X87)
        | ~ leq(n0,X88)
        | ~ leq(X87,n2)
        | ~ leq(X88,n2)
        | a_select3(r_ds1_filter_init,X87,X88) = init
        | ~ epred3_0 )
      & ( ~ leq(n0,X89)
        | ~ leq(n0,X90)
        | ~ leq(X89,n5)
        | ~ leq(X90,n0)
        | a_select3(xhatmin_ds1_filter_init,X89,X90) = init
        | ~ epred3_0 )
      & ( leq(n0,esk13_0)
        | leq(n0,esk11_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk14_0)
        | leq(n0,esk11_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk13_0,n5)
        | leq(n0,esk11_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk14_0,n0)
        | leq(n0,esk11_0)
        | ~ epred2_0
        | epred3_0 )
      & ( a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
        | leq(n0,esk11_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk13_0)
        | leq(n0,esk12_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk14_0)
        | leq(n0,esk12_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk13_0,n5)
        | leq(n0,esk12_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk14_0,n0)
        | leq(n0,esk12_0)
        | ~ epred2_0
        | epred3_0 )
      & ( a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
        | leq(n0,esk12_0)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk13_0)
        | leq(esk11_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk14_0)
        | leq(esk11_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk13_0,n5)
        | leq(esk11_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk14_0,n0)
        | leq(esk11_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
        | leq(esk11_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk13_0)
        | leq(esk12_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk14_0)
        | leq(esk12_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk13_0,n5)
        | leq(esk12_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk14_0,n0)
        | leq(esk12_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
        | leq(esk12_0,n2)
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk13_0)
        | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
        | ~ epred2_0
        | epred3_0 )
      & ( leq(n0,esk14_0)
        | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk13_0,n5)
        | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
        | ~ epred2_0
        | epred3_0 )
      & ( leq(esk14_0,n0)
        | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
        | ~ epred2_0
        | epred3_0 )
      & ( a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
        | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
        | ~ epred2_0
        | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_10])])])])]) ).

fof(i_0_18,plain,
    ! [X79,X80,X81,X82] :
      ( ( epred1_0
        | ~ epred2_0 )
      & ( ~ leq(n0,X79)
        | ~ leq(n0,X80)
        | ~ leq(X79,n5)
        | ~ leq(X80,n0)
        | a_select3(dv_ds1_filter_init,X79,X80) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X81)
        | ~ leq(n0,X82)
        | ~ leq(X81,n5)
        | ~ leq(X82,n5)
        | a_select3(q_ds1_filter_init,X81,X82) = init
        | ~ epred2_0 )
      & ( leq(n0,esk9_0)
        | leq(n0,esk7_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk10_0)
        | leq(n0,esk7_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk9_0,n5)
        | leq(n0,esk7_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk10_0,n5)
        | leq(n0,esk7_0)
        | ~ epred1_0
        | epred2_0 )
      & ( a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
        | leq(n0,esk7_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk9_0)
        | leq(n0,esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk10_0)
        | leq(n0,esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk9_0,n5)
        | leq(n0,esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk10_0,n5)
        | leq(n0,esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
        | leq(n0,esk8_0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk9_0)
        | leq(esk7_0,n5)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk10_0)
        | leq(esk7_0,n5)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk9_0,n5)
        | leq(esk7_0,n5)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk10_0,n5)
        | leq(esk7_0,n5)
        | ~ epred1_0
        | epred2_0 )
      & ( a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
        | leq(esk7_0,n5)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk9_0)
        | leq(esk8_0,n0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk10_0)
        | leq(esk8_0,n0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk9_0,n5)
        | leq(esk8_0,n0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk10_0,n5)
        | leq(esk8_0,n0)
        | ~ epred1_0
        | epred2_0 )
      & ( a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
        | leq(esk8_0,n0)
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk9_0)
        | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
        | ~ epred1_0
        | epred2_0 )
      & ( leq(n0,esk10_0)
        | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk9_0,n5)
        | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
        | ~ epred1_0
        | epred2_0 )
      & ( leq(esk10_0,n5)
        | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
        | ~ epred1_0
        | epred2_0 )
      & ( a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
        | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
        | ~ epred1_0
        | epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_11])])])])]) ).

fof(i_0_19,negated_conjecture,
    ( epred5_0
    & leq(n0,esk1_0)
    & leq(n0,esk2_0)
    & leq(esk1_0,n5)
    & leq(esk2_0,n5)
    & pv64 != esk2_0
    & esk1_0 = pv63
    & leq(esk2_0,pv64)
    & a_select3(id_ds1_filter_init,esk1_0,esk2_0) != init ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_12])])]) ).

cnf(i_0_20,plain,
    ( pv63 = pv64
    | epred1_0
    | a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
    | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_21,plain,
    ( leq(esk6_0,n5)
    | pv63 = pv64
    | epred1_0
    | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_22,plain,
    ( leq(esk5_0,n5)
    | pv63 = pv64
    | epred1_0
    | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_23,plain,
    ( leq(esk4_0,n5)
    | pv63 = pv64
    | epred1_0
    | a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_24,plain,
    ( leq(esk3_0,n2)
    | pv63 = pv64
    | epred1_0
    | a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_25,plain,
    ( leq(n0,esk6_0)
    | pv63 = pv64
    | epred1_0
    | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_26,plain,
    ( leq(n0,esk5_0)
    | pv63 = pv64
    | epred1_0
    | a_select3(h_ds1_filter_init,esk3_0,esk4_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_27,plain,
    ( leq(n0,esk4_0)
    | pv63 = pv64
    | epred1_0
    | a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_28,plain,
    ( leq(n0,esk3_0)
    | pv63 = pv64
    | epred1_0
    | a_select3(phi_ds1_filter_init,esk5_0,esk6_0) != init
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_29,plain,
    ( pv64 = X2
    | a_select3(id_ds1_filter_init,X1,X2) = init
    | ~ epred5_0
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | X1 != pv63
    | ~ leq(X2,pv64) ),
    inference(split_conjunct,[status(thm)],[i_0_14]),
    [final] ).

cnf(i_0_30,plain,
    ( epred5_0
    | a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
    | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_31,plain,
    ( epred4_0
    | a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
    | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_32,plain,
    ( epred3_0
    | a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
    | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_33,plain,
    ( epred2_0
    | a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
    | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_34,plain,
    ( a_select3(id_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | X1 != pv63
    | ~ gt(pv64,X2)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_35,plain,
    ( a_select3(id_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | ~ gt(pv63,X1)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_36,plain,
    ( a_select3(id_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,pred(pv63))
    | ~ leq(n0,X2)
    | ~ leq(X2,n5)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_37,plain,
    ( a_select3(pminus_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_38,plain,
    ( a_select3(xhatmin_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n0)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_39,plain,
    ( a_select3(r_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n2)
    | ~ leq(X2,n2)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_40,plain,
    ( a_select3(q_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_41,plain,
    ( a_select3(dv_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n0)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_42,plain,
    ( a_select3(phi_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_43,plain,
    ( a_select3(h_ds1_filter_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n2)
    | ~ leq(X2,n5)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_44,plain,
    ( leq(esk6_0,n5)
    | leq(esk4_0,n5)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_45,plain,
    ( leq(esk5_0,n5)
    | leq(esk4_0,n5)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_46,plain,
    ( leq(esk6_0,n5)
    | leq(esk3_0,n2)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_47,plain,
    ( leq(esk5_0,n5)
    | leq(esk3_0,n2)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_48,plain,
    ( leq(n0,esk6_0)
    | leq(esk4_0,n5)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_49,plain,
    ( leq(n0,esk6_0)
    | leq(esk3_0,n2)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_50,plain,
    ( leq(n0,esk5_0)
    | leq(esk4_0,n5)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_51,plain,
    ( leq(n0,esk5_0)
    | leq(esk3_0,n2)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_52,plain,
    ( leq(esk6_0,n5)
    | leq(n0,esk4_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_53,plain,
    ( leq(esk5_0,n5)
    | leq(n0,esk4_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_54,plain,
    ( leq(n0,esk6_0)
    | leq(n0,esk4_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_55,plain,
    ( leq(n0,esk5_0)
    | leq(n0,esk4_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_56,plain,
    ( leq(esk6_0,n5)
    | leq(n0,esk3_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_57,plain,
    ( leq(esk5_0,n5)
    | leq(n0,esk3_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_58,plain,
    ( leq(n0,esk6_0)
    | leq(n0,esk3_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_59,plain,
    ( leq(n0,esk5_0)
    | leq(n0,esk3_0)
    | pv63 = pv64
    | epred1_0
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv63)
    | ~ leq(n0,pv64)
    | ~ leq(pv5,n998)
    | ~ leq(pv63,n5)
    | ~ leq(pv64,n5) ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_60,plain,
    ( leq(esk21_0,pred(pv63))
    | epred5_0
    | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_61,plain,
    ( gt(pv63,esk19_0)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_62,plain,
    ( leq(esk22_0,n5)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_63,plain,
    ( leq(esk20_0,n5)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_64,plain,
    ( leq(esk19_0,n5)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_65,plain,
    ( leq(n0,esk22_0)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_66,plain,
    ( leq(n0,esk21_0)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk19_0,esk20_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_67,plain,
    ( leq(n0,esk20_0)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_68,plain,
    ( leq(n0,esk19_0)
    | epred5_0
    | a_select3(id_ds1_filter_init,esk21_0,esk22_0) != init
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_69,plain,
    ( gt(pv64,esk18_0)
    | epred4_0
    | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_70,plain,
    ( leq(esk18_0,n5)
    | epred4_0
    | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_71,plain,
    ( leq(esk17_0,n5)
    | epred4_0
    | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_72,plain,
    ( leq(esk16_0,n5)
    | epred4_0
    | a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_73,plain,
    ( leq(esk15_0,n5)
    | epred4_0
    | a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_74,plain,
    ( leq(n0,esk18_0)
    | epred4_0
    | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_75,plain,
    ( leq(n0,esk17_0)
    | epred4_0
    | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_76,plain,
    ( leq(n0,esk16_0)
    | epred4_0
    | a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_77,plain,
    ( leq(n0,esk15_0)
    | epred4_0
    | a_select3(id_ds1_filter_init,esk17_0,esk18_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_78,plain,
    ( leq(esk14_0,n0)
    | epred3_0
    | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_79,plain,
    ( leq(esk13_0,n5)
    | epred3_0
    | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_80,plain,
    ( leq(esk12_0,n2)
    | epred3_0
    | a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_81,plain,
    ( leq(esk11_0,n2)
    | epred3_0
    | a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_82,plain,
    ( leq(n0,esk14_0)
    | epred3_0
    | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_83,plain,
    ( leq(n0,esk13_0)
    | epred3_0
    | a_select3(r_ds1_filter_init,esk11_0,esk12_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_84,plain,
    ( leq(n0,esk12_0)
    | epred3_0
    | a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_85,plain,
    ( leq(n0,esk11_0)
    | epred3_0
    | a_select3(xhatmin_ds1_filter_init,esk13_0,esk14_0) != init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_86,plain,
    ( leq(esk10_0,n5)
    | epred2_0
    | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_87,plain,
    ( leq(esk9_0,n5)
    | epred2_0
    | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_88,plain,
    ( leq(esk8_0,n0)
    | epred2_0
    | a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_89,plain,
    ( leq(esk7_0,n5)
    | epred2_0
    | a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_90,plain,
    ( leq(n0,esk10_0)
    | epred2_0
    | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_91,plain,
    ( leq(n0,esk9_0)
    | epred2_0
    | a_select3(dv_ds1_filter_init,esk7_0,esk8_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_92,plain,
    ( leq(n0,esk8_0)
    | epred2_0
    | a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_93,plain,
    ( leq(n0,esk7_0)
    | epred2_0
    | a_select3(q_ds1_filter_init,esk9_0,esk10_0) != init
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_94,plain,
    ( esk17_0 = pv63
    | epred4_0
    | a_select3(pminus_ds1_filter_init,esk15_0,esk16_0) != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_95,negated_conjecture,
    a_select3(id_ds1_filter_init,esk1_0,esk2_0) != init,
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_96,plain,
    ( leq(esk21_0,pred(pv63))
    | gt(pv63,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_97,plain,
    ( leq(esk21_0,pred(pv63))
    | leq(esk20_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_98,plain,
    ( leq(esk21_0,pred(pv63))
    | leq(esk19_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_99,plain,
    ( leq(esk21_0,pred(pv63))
    | leq(n0,esk20_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_100,plain,
    ( leq(esk21_0,pred(pv63))
    | leq(n0,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_101,plain,
    ( leq(esk22_0,n5)
    | gt(pv63,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_102,plain,
    ( leq(esk22_0,n5)
    | leq(esk20_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_103,plain,
    ( leq(esk22_0,n5)
    | leq(esk19_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_104,plain,
    ( leq(n0,esk22_0)
    | gt(pv63,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_105,plain,
    ( leq(n0,esk22_0)
    | leq(esk20_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_106,plain,
    ( leq(n0,esk22_0)
    | leq(esk19_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_107,plain,
    ( leq(n0,esk21_0)
    | gt(pv63,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_108,plain,
    ( leq(n0,esk21_0)
    | leq(esk20_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_109,plain,
    ( leq(n0,esk21_0)
    | leq(esk19_0,n5)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_110,plain,
    ( leq(esk22_0,n5)
    | leq(n0,esk20_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_111,plain,
    ( leq(n0,esk22_0)
    | leq(n0,esk20_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_112,plain,
    ( leq(n0,esk21_0)
    | leq(n0,esk20_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_113,plain,
    ( leq(esk22_0,n5)
    | leq(n0,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_114,plain,
    ( leq(n0,esk22_0)
    | leq(n0,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_115,plain,
    ( leq(n0,esk21_0)
    | leq(n0,esk19_0)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_116,plain,
    ( gt(pv64,esk18_0)
    | leq(esk16_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_117,plain,
    ( leq(esk18_0,n5)
    | leq(esk16_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_118,plain,
    ( leq(esk17_0,n5)
    | leq(esk16_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_119,plain,
    ( gt(pv64,esk18_0)
    | leq(esk15_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_120,plain,
    ( leq(esk18_0,n5)
    | leq(esk15_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_121,plain,
    ( leq(esk17_0,n5)
    | leq(esk15_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_122,plain,
    ( leq(n0,esk18_0)
    | leq(esk16_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_123,plain,
    ( leq(n0,esk18_0)
    | leq(esk15_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_124,plain,
    ( leq(n0,esk17_0)
    | leq(esk16_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_125,plain,
    ( leq(n0,esk17_0)
    | leq(esk15_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_126,plain,
    ( gt(pv64,esk18_0)
    | leq(n0,esk16_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_127,plain,
    ( leq(esk18_0,n5)
    | leq(n0,esk16_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_128,plain,
    ( leq(esk17_0,n5)
    | leq(n0,esk16_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_129,plain,
    ( leq(n0,esk18_0)
    | leq(n0,esk16_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_130,plain,
    ( leq(n0,esk17_0)
    | leq(n0,esk16_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_131,plain,
    ( gt(pv64,esk18_0)
    | leq(n0,esk15_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_132,plain,
    ( leq(esk18_0,n5)
    | leq(n0,esk15_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_133,plain,
    ( leq(esk17_0,n5)
    | leq(n0,esk15_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_134,plain,
    ( leq(n0,esk18_0)
    | leq(n0,esk15_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_135,plain,
    ( leq(n0,esk17_0)
    | leq(n0,esk15_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_136,plain,
    ( leq(esk14_0,n0)
    | leq(esk12_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_137,plain,
    ( leq(esk13_0,n5)
    | leq(esk12_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_138,plain,
    ( leq(esk14_0,n0)
    | leq(esk11_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_139,plain,
    ( leq(esk13_0,n5)
    | leq(esk11_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_140,plain,
    ( leq(n0,esk14_0)
    | leq(esk12_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_141,plain,
    ( leq(n0,esk14_0)
    | leq(esk11_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_142,plain,
    ( leq(n0,esk13_0)
    | leq(esk12_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_143,plain,
    ( leq(n0,esk13_0)
    | leq(esk11_0,n2)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_144,plain,
    ( leq(esk14_0,n0)
    | leq(n0,esk12_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_145,plain,
    ( leq(esk13_0,n5)
    | leq(n0,esk12_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_146,plain,
    ( leq(n0,esk14_0)
    | leq(n0,esk12_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_147,plain,
    ( leq(n0,esk13_0)
    | leq(n0,esk12_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_148,plain,
    ( leq(esk14_0,n0)
    | leq(n0,esk11_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_149,plain,
    ( leq(esk13_0,n5)
    | leq(n0,esk11_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_150,plain,
    ( leq(n0,esk14_0)
    | leq(n0,esk11_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_151,plain,
    ( leq(n0,esk13_0)
    | leq(n0,esk11_0)
    | epred3_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_152,plain,
    ( leq(esk10_0,n5)
    | leq(esk8_0,n0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_153,plain,
    ( leq(esk9_0,n5)
    | leq(esk8_0,n0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_154,plain,
    ( leq(esk10_0,n5)
    | leq(esk7_0,n5)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_155,plain,
    ( leq(esk9_0,n5)
    | leq(esk7_0,n5)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_156,plain,
    ( leq(n0,esk10_0)
    | leq(esk8_0,n0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_157,plain,
    ( leq(n0,esk10_0)
    | leq(esk7_0,n5)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_158,plain,
    ( leq(n0,esk9_0)
    | leq(esk8_0,n0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_159,plain,
    ( leq(n0,esk9_0)
    | leq(esk7_0,n5)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_160,plain,
    ( leq(esk10_0,n5)
    | leq(n0,esk8_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_161,plain,
    ( leq(esk9_0,n5)
    | leq(n0,esk8_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_162,plain,
    ( leq(n0,esk10_0)
    | leq(n0,esk8_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_163,plain,
    ( leq(n0,esk9_0)
    | leq(n0,esk8_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_164,plain,
    ( leq(esk10_0,n5)
    | leq(n0,esk7_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_165,plain,
    ( leq(esk9_0,n5)
    | leq(n0,esk7_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_166,plain,
    ( leq(n0,esk10_0)
    | leq(n0,esk7_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_167,plain,
    ( leq(n0,esk9_0)
    | leq(n0,esk7_0)
    | epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_168,plain,
    ( esk17_0 = pv63
    | leq(esk16_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_169,plain,
    ( esk17_0 = pv63
    | leq(esk15_0,n5)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_170,plain,
    ( esk17_0 = pv63
    | leq(n0,esk16_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_171,plain,
    ( esk17_0 = pv63
    | leq(n0,esk15_0)
    | epred4_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_172,plain,
    ( leq(pv5,n998)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_173,plain,
    ( leq(n0,pv5)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_174,plain,
    ( leq(n0,pv64)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_175,plain,
    ( leq(n0,pv63)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_176,plain,
    ( leq(pv64,n5)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_177,plain,
    ( leq(pv63,n5)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_178,negated_conjecture,
    leq(esk2_0,n5),
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_179,negated_conjecture,
    leq(esk2_0,pv64),
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_180,negated_conjecture,
    leq(esk1_0,n5),
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_181,negated_conjecture,
    leq(n0,esk2_0),
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_182,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_183,plain,
    ( pv63 != pv64
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_184,plain,
    ( epred4_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[i_0_15]),
    [final] ).

cnf(i_0_185,plain,
    ( epred3_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[i_0_16]),
    [final] ).

cnf(i_0_186,plain,
    ( epred2_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_187,plain,
    ( epred1_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[i_0_18]),
    [final] ).

cnf(i_0_188,negated_conjecture,
    pv64 != esk2_0,
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_189,negated_conjecture,
    epred5_0,
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_190,negated_conjecture,
    esk1_0 = pv63,
    inference(split_conjunct,[status(thm)],[i_0_19]),
    [final] ).

cnf(i_0_191,axiom,
    X1 = X1 ).

cnf(i_0_192,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_193,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_194,axiom,
    ( X1 != X2
    | a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).

cnf(i_0_195,axiom,
    ( X1 != X2
    | a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).

cnf(i_0_196,axiom,
    ( X1 != X2
    | a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).

cnf(i_0_197,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_198,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_199,axiom,
    ( X1 != X2
    | ~ gt(X1,X3)
    | gt(X2,X3) ) ).

cnf(i_0_200,axiom,
    ( X1 != X2
    | ~ gt(X3,X1)
    | gt(X3,X2) ) ).

cnf(i_0_191_001,axiom,
    X1 = X1 ).

cnf(i_0_192_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_193_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_194_004,axiom,
    ( X1 != X2
    | a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).

cnf(i_0_195_005,axiom,
    ( X1 != X2
    | a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).

cnf(i_0_196_006,axiom,
    ( X1 != X2
    | a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).

cnf(i_0_197_007,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_198_008,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_199_009,axiom,
    ( X1 != X2
    | ~ gt(X1,X3)
    | gt(X2,X3) ) ).

cnf(i_0_200_010,axiom,
    ( X1 != X2
    | ~ gt(X3,X1)
    | gt(X3,X2) ) ).

cnf(i_0_201,plain,
    ( ~ leq(n0,pv63)
    | ~ leq(n0,X1)
    | ~ leq(pv63,n5)
    | ~ leq(X1,n5)
    | ~ leq(X1,pv64)
    | pv64 = X1
    | a_select3(id_ds1_filter_init,pv63,X1) = init
    | ~ epred5_0 ),
    inference(equality_inference,[],[29]) ).

cnf(i_0_202,plain,
    ( ~ leq(n0,pv63)
    | ~ leq(n0,X1)
    | ~ leq(pv63,n5)
    | ~ leq(X1,n5)
    | ~ gt(pv64,X1)
    | a_select3(id_ds1_filter_init,pv63,X1) = init
    | ~ epred4_0 ),
    inference(equality_inference,[],[34]) ).

cnf(i_0_203,plain,
    $false,
    inference(scs_inference,[],[i_0_188,i_0_95,i_0_189,i_0_182,i_0_181,i_0_180,i_0_178,i_0_190,i_0_179,i_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MSC010+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n010.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May  4 23:34:51 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 0.32/1.61  % Version  : CSE_E---1.7
% 0.32/1.61  % Problem  : theBenchmark.p
% 0.32/1.61  % SZS status Theorem for theBenchmark.p
% 0.32/1.61  % SZS output start CNFRefutation
% See solution above
% 0.32/1.63  % Total time : 1.273s
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