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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV038+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n021.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 05:20:41 PM UTC 2026

% Result   : Theorem 10.99s 7.18s
% Output   : CNFRefutation 11.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  271 (  23 unt;   0 def)
%            Number of atoms       : 2681 ( 807 equ)
%            Maximal formula atoms :  630 (   9 avg)
%            Number of connectives : 4098 (1688   ~;2171   |; 195   &)
%                                         (   2 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   59 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  25 con; 0-3 aty)
%            Number of variables   :   44 (   0 sgn  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_init_0065,conjecture,
    ( ( s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n2) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n3) )
             => a_select3(simplex7_init,X18,X14) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n3) )
         => a_select2(s_values7_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n2) )
         => a_select2(s_center7_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,minus(n3,n1)) )
         => a_select2(s_try7_init,X21) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) )
   => ( init = init
      & ( n0 != pv1413
       => ( init = init
          & s_best7_init = init
          & s_sworst7_init = init
          & s_worst7_init = init
          & leq(n0,s_best7)
          & leq(n0,s_sworst7)
          & leq(n0,s_worst7)
          & leq(s_best7,n3)
          & leq(s_sworst7,n3)
          & leq(s_worst7,n3)
          & ! [X22] :
              ( ( leq(n0,X22)
                & leq(X22,n2) )
             => ! [X28] :
                  ( ( leq(n0,X28)
                    & leq(X28,n3) )
                 => a_select3(simplex7_init,X28,X22) = init ) )
          & ! [X29] :
              ( ( leq(n0,X29)
                & leq(X29,n3) )
             => a_select2(s_values7_init,X29) = init )
          & ! [X5] :
              ( ( leq(n0,X5)
                & leq(X5,n2) )
             => a_select2(s_center7_init,X5) = init )
          & ! [X11] :
              ( ( leq(n0,X11)
                & leq(X11,minus(n3,n1)) )
             => a_select2(s_try7_init,X11) = init )
          & ( gt(loopcounter,n1)
           => ( pvar1400_init = init
              & pvar1401_init = init
              & pvar1402_init = init ) ) ) )
      & ( n0 = pv1413
       => true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0065) ).

fof(ttrue,axiom,
    true,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).

fof(c_0_2,plain,
    ( epred2_0
  <=> ( s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n2) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n3) )
             => a_select3(simplex7_init,X18,X14) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n3) )
         => a_select2(s_values7_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n2) )
         => a_select2(s_center7_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,minus(n3,n1)) )
         => a_select2(s_try7_init,X21) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ( epred3_0
  <=> ( init = init
      & s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n2) )
         => ! [X28] :
              ( ( leq(n0,X28)
                & leq(X28,n3) )
             => a_select3(simplex7_init,X28,X22) = init ) )
      & ! [X29] :
          ( ( leq(n0,X29)
            & leq(X29,n3) )
         => a_select2(s_values7_init,X29) = init )
      & ! [X5] :
          ( ( leq(n0,X5)
            & leq(X5,n2) )
         => a_select2(s_center7_init,X5) = init ) ) ),
    introduced(definition) ).

fof(c_0_4,negated_conjecture,
    ~ ( epred2_0
     => ( init = init
        & ( n0 != pv1413
         => ( epred3_0
            & ! [X11] :
                ( ( leq(n0,X11)
                  & leq(X11,minus(n3,n1)) )
               => a_select2(s_try7_init,X11) = init )
            & ( gt(loopcounter,n1)
             => ( pvar1400_init = init
                & pvar1401_init = init
                & pvar1402_init = init ) ) ) )
        & ( n0 = pv1413
         => true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_init_0065]),c_0_2]),c_0_3]) ).

fof(c_0_5,plain,
    ( epred2_0
   => ( s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n2) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n3) )
             => a_select3(simplex7_init,X18,X14) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n3) )
         => a_select2(s_values7_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n2) )
         => a_select2(s_center7_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,minus(n3,n1)) )
         => a_select2(s_try7_init,X21) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

fof(c_0_6,negated_conjecture,
    ( epred2_0
    & ( n0 = pv1413
      | n0 != pv1413
      | init != init )
    & ( ~ true
      | n0 != pv1413
      | init != init )
    & ( n0 = pv1413
      | gt(loopcounter,n1)
      | leq(n0,esk24_0)
      | ~ epred3_0
      | init != init )
    & ( ~ true
      | gt(loopcounter,n1)
      | leq(n0,esk24_0)
      | ~ epred3_0
      | init != init )
    & ( n0 = pv1413
      | pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | leq(n0,esk24_0)
      | ~ epred3_0
      | init != init )
    & ( ~ true
      | pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | leq(n0,esk24_0)
      | ~ epred3_0
      | init != init )
    & ( n0 = pv1413
      | gt(loopcounter,n1)
      | leq(esk24_0,minus(n3,n1))
      | ~ epred3_0
      | init != init )
    & ( ~ true
      | gt(loopcounter,n1)
      | leq(esk24_0,minus(n3,n1))
      | ~ epred3_0
      | init != init )
    & ( n0 = pv1413
      | pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | leq(esk24_0,minus(n3,n1))
      | ~ epred3_0
      | init != init )
    & ( ~ true
      | pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | leq(esk24_0,minus(n3,n1))
      | ~ epred3_0
      | init != init )
    & ( n0 = pv1413
      | gt(loopcounter,n1)
      | a_select2(s_try7_init,esk24_0) != init
      | ~ epred3_0
      | init != init )
    & ( ~ true
      | gt(loopcounter,n1)
      | a_select2(s_try7_init,esk24_0) != init
      | ~ epred3_0
      | init != init )
    & ( n0 = pv1413
      | pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | a_select2(s_try7_init,esk24_0) != init
      | ~ epred3_0
      | init != init )
    & ( ~ true
      | pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | a_select2(s_try7_init,esk24_0) != init
      | ~ epred3_0
      | init != init ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_7,plain,
    ! [X381,X382,X383,X384,X385] :
      ( ( s_best7_init = init
        | ~ epred2_0 )
      & ( s_sworst7_init = init
        | ~ epred2_0 )
      & ( s_worst7_init = init
        | ~ epred2_0 )
      & ( leq(n0,s_best7)
        | ~ epred2_0 )
      & ( leq(n0,s_sworst7)
        | ~ epred2_0 )
      & ( leq(n0,s_worst7)
        | ~ epred2_0 )
      & ( leq(s_best7,n3)
        | ~ epred2_0 )
      & ( leq(s_sworst7,n3)
        | ~ epred2_0 )
      & ( leq(s_worst7,n3)
        | ~ epred2_0 )
      & ( ~ leq(n0,X381)
        | ~ leq(X381,n2)
        | ~ leq(n0,X382)
        | ~ leq(X382,n3)
        | a_select3(simplex7_init,X382,X381) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X383)
        | ~ leq(X383,n3)
        | a_select2(s_values7_init,X383) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X384)
        | ~ leq(X384,n2)
        | a_select2(s_center7_init,X384) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X385)
        | ~ leq(X385,minus(n3,n1))
        | a_select2(s_try7_init,X385) = init
        | ~ epred2_0 )
      & ( pvar1400_init = init
        | ~ gt(loopcounter,n1)
        | ~ epred2_0 )
      & ( pvar1401_init = init
        | ~ gt(loopcounter,n1)
        | ~ epred2_0 )
      & ( pvar1402_init = init
        | ~ gt(loopcounter,n1)
        | ~ epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

cnf(c_0_8,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(esk24_0,minus(n3,n1))
    | ~ true
    | ~ epred3_0
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(n0,esk24_0)
    | ~ true
    | ~ epred3_0
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( gt(loopcounter,n1)
    | ~ true
    | a_select2(s_try7_init,esk24_0) != init
    | ~ epred3_0
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ( ( init = init
      & s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n2) )
         => ! [X28] :
              ( ( leq(n0,X28)
                & leq(X28,n3) )
             => a_select3(simplex7_init,X28,X22) = init ) )
      & ! [X29] :
          ( ( leq(n0,X29)
            & leq(X29,n3) )
         => a_select2(s_values7_init,X29) = init )
      & ! [X5] :
          ( ( leq(n0,X5)
            & leq(X5,n2) )
         => a_select2(s_center7_init,X5) = init ) )
   => epred3_0 ),
    inference(split_equiv,[status(thm)],[c_0_3]) ).

cnf(c_0_12,negated_conjecture,
    ( leq(esk24_0,minus(n3,n1))
    | ~ true
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( leq(n0,esk24_0)
    | ~ true
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ true
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | a_select2(s_try7_init,esk24_0) != init
    | ~ epred3_0
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    ( a_select2(s_try7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(n3,n1))
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    epred2_0,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(esk24_0,minus(n3,n1))
    | ~ true
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_8]) ).

cnf(c_0_18,plain,
    true,
    inference(split_conjunct,[status(thm)],[ttrue]) ).

cnf(c_0_19,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(n0,esk24_0)
    | ~ true
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    ( gt(loopcounter,n1)
    | a_select2(s_try7_init,esk24_0) != init
    | ~ true
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_10]) ).

fof(c_0_21,plain,
    ( ( leq(n0,esk32_0)
      | leq(n0,esk31_0)
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(n0,esk31_0)
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(n0,esk31_0)
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(esk31_0,n3)
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(esk31_0,n3)
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(esk31_0,n3)
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk29_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(n0,esk31_0)
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(n0,esk31_0)
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(n0,esk31_0)
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(esk31_0,n3)
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(esk31_0,n3)
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(esk31_0,n3)
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | a_select2(s_values7_init,esk31_0) != init
      | leq(esk29_0,n2)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(n0,esk31_0)
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(n0,esk31_0)
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(n0,esk31_0)
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(esk31_0,n3)
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(esk31_0,n3)
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(esk31_0,n3)
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk30_0)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(n0,esk31_0)
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(n0,esk31_0)
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(n0,esk31_0)
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(esk31_0,n3)
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(esk31_0,n3)
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(esk31_0,n3)
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | a_select2(s_values7_init,esk31_0) != init
      | leq(esk30_0,n3)
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(n0,esk31_0)
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(n0,esk31_0)
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(n0,esk31_0)
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(esk31_0,n3)
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(esk31_0,n3)
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(esk31_0,n3)
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | a_select2(s_values7_init,esk31_0) != init
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | a_select2(s_values7_init,esk31_0) != init
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | a_select2(s_values7_init,esk31_0) != init
      | a_select3(simplex7_init,esk30_0,esk29_0) != init
      | init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( leq(esk24_0,minus(n3,n1))
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ true
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_12]) ).

cnf(c_0_23,negated_conjecture,
    ( leq(n0,esk24_0)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ true
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_13]) ).

cnf(c_0_24,negated_conjecture,
    ( pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | a_select2(s_try7_init,esk24_0) != init
    | ~ true
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_14]) ).

cnf(c_0_25,plain,
    ( pvar1402_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26,plain,
    ( a_select2(s_try7_init,X1) = init
    | ~ leq(X1,minus(n3,n1))
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_27,negated_conjecture,
    ( leq(esk24_0,minus(n3,n1))
    | gt(loopcounter,n1)
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).

cnf(c_0_28,negated_conjecture,
    ( leq(n0,esk24_0)
    | gt(loopcounter,n1)
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_18])]) ).

cnf(c_0_29,negated_conjecture,
    ( gt(loopcounter,n1)
    | a_select2(s_try7_init,esk24_0) != init
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18])]) ).

cnf(c_0_30,plain,
    ( pvar1401_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_31,plain,
    ( pvar1400_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(n0,esk29_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_33,plain,
    ( s_best7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_34,plain,
    ( s_sworst7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_35,plain,
    ( s_worst7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_36,plain,
    ( leq(n0,s_best7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37,plain,
    ( leq(n0,s_sworst7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,plain,
    ( leq(n0,s_worst7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39,plain,
    ( leq(s_best7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_40,plain,
    ( leq(s_sworst7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_41,plain,
    ( leq(s_worst7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_42,negated_conjecture,
    ( leq(esk24_0,minus(n3,n1))
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18])]) ).

cnf(c_0_43,negated_conjecture,
    ( leq(n0,esk24_0)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_18])]) ).

cnf(c_0_44,negated_conjecture,
    ( a_select2(s_try7_init,esk24_0) != init
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_18])]) ).

cnf(c_0_45,plain,
    ( pvar1402_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_16])]) ).

cnf(c_0_46,plain,
    ( gt(loopcounter,n1)
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).

cnf(c_0_47,plain,
    ( pvar1401_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_16])]) ).

cnf(c_0_48,plain,
    ( pvar1400_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_16])]) ).

cnf(c_0_49,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(n0,esk29_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_50,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(n0,esk30_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_51,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(n0,esk30_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_52,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_53,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_32]) ).

cnf(c_0_54,plain,
    s_best7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_16])]) ).

cnf(c_0_55,plain,
    s_sworst7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_16])]) ).

cnf(c_0_56,plain,
    s_worst7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_16])]) ).

cnf(c_0_57,plain,
    leq(n0,s_best7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_16])]) ).

cnf(c_0_58,plain,
    leq(n0,s_sworst7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_16])]) ).

cnf(c_0_59,plain,
    leq(n0,s_worst7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_16])]) ).

cnf(c_0_60,plain,
    leq(s_best7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_16])]) ).

cnf(c_0_61,plain,
    leq(s_sworst7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_16])]) ).

cnf(c_0_62,plain,
    leq(s_worst7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_16])]) ).

cnf(c_0_63,plain,
    ( pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_64,plain,
    ( pvar1402_init = init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_65,plain,
    ( pvar1401_init = init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

cnf(c_0_66,plain,
    ( pvar1400_init = init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_48,c_0_46]) ).

cnf(c_0_67,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(n0,esk31_0)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_49]) ).

cnf(c_0_68,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(n0,esk29_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_69,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_70,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_50]) ).

cnf(c_0_71,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(n0,esk31_0)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_51]) ).

cnf(c_0_72,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(n0,esk30_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_73,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_74,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(n0,esk31_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_52]) ).

cnf(c_0_75,plain,
    ( a_select2(s_center7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n2)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_76,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_77,plain,
    ~ epred3_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]) ).

cnf(c_0_78,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_79,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_68]) ).

cnf(c_0_80,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_81,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(n0,esk31_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_69]) ).

cnf(c_0_82,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(n0,esk30_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_83,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(n0,esk30_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_84,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_72]) ).

cnf(c_0_85,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_86,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_87,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_88,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(n0,esk32_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_73]) ).

cnf(c_0_89,plain,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_90,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(n0,esk29_0)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_91,plain,
    ( a_select2(s_center7_init,X1) = init
    | ~ leq(X1,n2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_16])]) ).

cnf(c_0_92,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk31_0)
    | leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_93,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk31_0)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_78,c_0_77]) ).

cnf(c_0_94,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(n0,esk32_0)
    | leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_95,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(n0,esk32_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_80]) ).

cnf(c_0_96,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(n0,esk30_0)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_97,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk31_0)
    | leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[c_0_82,c_0_77]) ).

cnf(c_0_98,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk31_0)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_83,c_0_77]) ).

cnf(c_0_99,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(n0,esk32_0)
    | leq(n0,esk30_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_100,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | leq(esk29_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_85]) ).

cnf(c_0_101,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | leq(esk30_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_86]) ).

cnf(c_0_102,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_103,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_104,plain,
    ( leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_105,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_87]) ).

cnf(c_0_106,plain,
    ( a_select3(simplex7_init,X2,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n2)
    | ~ leq(n0,X2)
    | ~ leq(X2,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_107,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(n0,esk29_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_108,plain,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(X1,n3)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_16])]) ).

cnf(c_0_109,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_77]),c_0_92]),c_0_93]) ).

cnf(c_0_110,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk32_0)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_94,c_0_77]) ).

cnf(c_0_111,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_112,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_91]),c_0_77]),c_0_97]),c_0_98]) ).

cnf(c_0_113,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk32_0)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_99,c_0_77]) ).

cnf(c_0_114,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | leq(n0,esk32_0)
    | leq(n0,esk31_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_115,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | leq(n0,esk32_0)
    | leq(n0,esk31_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_116,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_102]) ).

cnf(c_0_117,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_118,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(n0,esk29_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_119,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(n0,esk30_0)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_120,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_121,plain,
    ( leq(n0,esk32_0)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_122,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(esk29_0,n2)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_103]) ).

cnf(c_0_123,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_124,plain,
    ( leq(n0,esk32_0)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_125,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_104]) ).

cnf(c_0_126,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_127,plain,
    ( a_select3(simplex7_init,X1,X2) = init
    | ~ leq(X1,n3)
    | ~ leq(X2,n2)
    | ~ leq(n0,X1)
    | ~ leq(n0,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_16])]) ).

cnf(c_0_128,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_77]),c_0_109]),c_0_110]) ).

cnf(c_0_129,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_108]),c_0_77]),c_0_112]),c_0_113]) ).

cnf(c_0_130,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | leq(esk29_0,n2) ),
    inference(sr,[status(thm)],[c_0_114,c_0_77]) ).

cnf(c_0_131,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | leq(esk30_0,n3) ),
    inference(sr,[status(thm)],[c_0_115,c_0_77]) ).

cnf(c_0_132,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk30_0,n3)
    | leq(n0,esk31_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_133,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(esk30_0,n3)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_117]) ).

cnf(c_0_134,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | epred3_0
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_135,plain,
    ( leq(esk31_0,n3)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_136,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_118]) ).

cnf(c_0_137,plain,
    ( leq(esk31_0,n3)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_138,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_119]) ).

cnf(c_0_139,plain,
    ( leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_140,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_120]) ).

cnf(c_0_141,plain,
    ( leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_142,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(esk29_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_121]) ).

cnf(c_0_143,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | leq(n0,esk32_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_144,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_123]) ).

cnf(c_0_145,plain,
    ( epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_146,plain,
    ( leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_147,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(esk30_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_124]) ).

cnf(c_0_148,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | leq(n0,esk31_0)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_149,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_77]),c_0_128]),c_0_129]),c_0_130]),c_0_131]) ).

cnf(c_0_150,plain,
    ( leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_132,c_0_77]) ).

cnf(c_0_151,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | leq(n0,esk32_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_152,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_134]) ).

cnf(c_0_153,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_154,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_135]) ).

cnf(c_0_155,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_156,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_157,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_137]) ).

cnf(c_0_158,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(n0,esk30_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_159,plain,
    ( leq(esk32_0,n2)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_160,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_139]) ).

cnf(c_0_161,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk29_0,n2)
    | leq(n0,esk31_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_162,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_141]) ).

cnf(c_0_163,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | leq(n0,esk32_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_164,plain,
    ( leq(n0,esk32_0)
    | leq(esk29_0,n2)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_143,c_0_77]) ).

cnf(c_0_165,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(esk29_0,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_166,plain,
    ( epred3_0
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_145]) ).

cnf(c_0_167,plain,
    ( leq(n0,esk32_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_168,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_169,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_146]) ).

cnf(c_0_170,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | leq(n0,esk32_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_171,plain,
    ( leq(n0,esk31_0)
    | leq(esk30_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_91]),c_0_77]),c_0_149]),c_0_150]) ).

cnf(c_0_172,plain,
    ( leq(n0,esk32_0)
    | leq(esk30_0,n3)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_151,c_0_77]) ).

cnf(c_0_173,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(esk30_0,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_174,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_175,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_153]) ).

cnf(c_0_176,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(n0,esk29_0)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_177,plain,
    ( leq(n0,esk29_0)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_155,c_0_77]) ).

cnf(c_0_178,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_156]) ).

cnf(c_0_179,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(n0,esk30_0)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_180,plain,
    ( leq(n0,esk30_0)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_158,c_0_77]) ).

cnf(c_0_181,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_159]) ).

cnf(c_0_182,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | leq(n0,esk31_0)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_183,plain,
    ( leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_161,c_0_77]) ).

cnf(c_0_184,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_185,plain,
    ( leq(n0,esk32_0)
    | leq(esk29_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_108]),c_0_77]),c_0_149]),c_0_164]) ).

cnf(c_0_186,plain,
    ( leq(esk29_0,n2)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_165,c_0_77]) ).

cnf(c_0_187,plain,
    ( epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58])]) ).

cnf(c_0_188,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_167]) ).

cnf(c_0_189,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_168]) ).

cnf(c_0_190,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_191,plain,
    ( leq(n0,esk32_0)
    | leq(esk30_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_108]),c_0_77]),c_0_171]),c_0_172]) ).

cnf(c_0_192,plain,
    ( leq(esk30_0,n3)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_173,c_0_77]) ).

cnf(c_0_193,plain,
    ( leq(esk32_0,n2)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_194,plain,
    ( leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_195,plain,
    ( leq(esk32_0,n2)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_196,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_174]) ).

cnf(c_0_197,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(n0,esk29_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_198,plain,
    ( leq(n0,esk29_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_91]),c_0_77]),c_0_128]),c_0_177]) ).

cnf(c_0_199,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_200,plain,
    ( leq(n0,esk30_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_91]),c_0_77]),c_0_129]),c_0_180]) ).

cnf(c_0_201,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk29_0,n2)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_202,plain,
    ( leq(n0,esk31_0)
    | leq(esk29_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_91]),c_0_77]),c_0_149]),c_0_183]) ).

cnf(c_0_203,plain,
    ( leq(esk29_0,n2)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_91]),c_0_77]),c_0_185]),c_0_186]) ).

cnf(c_0_204,plain,
    ( epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_59])]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_205,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_206,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(n0,esk32_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_207,plain,
    ( leq(esk30_0,n3)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_91]),c_0_77]),c_0_191]),c_0_192]) ).

cnf(c_0_208,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_193]) ).

cnf(c_0_209,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_194]) ).

cnf(c_0_210,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_195]) ).

cnf(c_0_211,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_212,plain,
    ( leq(n0,esk29_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_108]),c_0_77]),c_0_109]),c_0_198]) ).

cnf(c_0_213,plain,
    ( leq(n0,esk30_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_108]),c_0_77]),c_0_112]),c_0_200]) ).

cnf(c_0_214,plain,
    ( leq(esk29_0,n2)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_108]),c_0_77]),c_0_202]),c_0_203]) ).

cnf(c_0_215,plain,
    ( leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_216,plain,
    ( a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_91]),c_0_77]) ).

cnf(c_0_217,plain,
    ( leq(n0,esk32_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_108]),c_0_77]) ).

cnf(c_0_218,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_127]),c_0_77]),c_0_198]),c_0_200]),c_0_203]),c_0_207]) ).

cnf(c_0_219,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_220,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_221,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk30_0,n3)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_222,plain,
    ( leq(n0,esk31_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_127]),c_0_77]),c_0_212]),c_0_213]),c_0_214]),c_0_171]) ).

cnf(c_0_223,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_215]) ).

cnf(c_0_224,plain,
    ( leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_225,plain,
    ( a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0)
    | ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0) ),
    inference(spm,[status(thm)],[c_0_216,c_0_108]) ).

cnf(c_0_226,plain,
    leq(n0,esk32_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_127]),c_0_128]),c_0_129]),c_0_185]),c_0_191]),c_0_149]),c_0_218]) ).

cnf(c_0_227,plain,
    ( leq(esk32_0,n2)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_108]),c_0_77]) ).

cnf(c_0_228,plain,
    ( leq(esk30_0,n3)
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_91]),c_0_77]) ).

cnf(c_0_229,plain,
    ( leq(esk30_0,n3)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_108]),c_0_77]),c_0_222]),c_0_207]) ).

cnf(c_0_230,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_231,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_224]) ).

cnf(c_0_232,plain,
    ( a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226])]),c_0_227]) ).

cnf(c_0_233,plain,
    ( leq(esk30_0,n3)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_226])]),c_0_229]) ).

cnf(c_0_234,plain,
    ( leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_91]),c_0_77]) ).

cnf(c_0_235,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_236,plain,
    ( ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0)
    | ~ leq(esk30_0,n3)
    | ~ leq(esk29_0,n2)
    | ~ leq(n0,esk30_0)
    | ~ leq(n0,esk29_0) ),
    inference(spm,[status(thm)],[c_0_232,c_0_127]) ).

cnf(c_0_237,plain,
    leq(esk30_0,n3),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_108]),c_0_171]),c_0_207]) ).

cnf(c_0_238,plain,
    ( leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_226])]),c_0_213]) ).

cnf(c_0_239,plain,
    ( leq(n0,esk29_0)
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_91]),c_0_77]) ).

cnf(c_0_240,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_241,plain,
    ( leq(esk31_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_242,plain,
    ( ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0)
    | ~ leq(esk29_0,n2)
    | ~ leq(n0,esk30_0)
    | ~ leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_237])]) ).

cnf(c_0_243,plain,
    leq(n0,esk30_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_108]),c_0_112]),c_0_200]) ).

cnf(c_0_244,plain,
    ( leq(n0,esk29_0)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_226])]),c_0_212]) ).

cnf(c_0_245,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | leq(esk32_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_240]) ).

cnf(c_0_246,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_241]) ).

cnf(c_0_247,plain,
    ( ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0)
    | ~ leq(esk29_0,n2)
    | ~ leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243])]) ).

cnf(c_0_248,plain,
    leq(n0,esk29_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_108]),c_0_109]),c_0_198]) ).

cnf(c_0_249,plain,
    ( epred3_0
    | leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_250,plain,
    ( leq(n0,esk31_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_251,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_252,plain,
    ( ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0)
    | ~ leq(esk29_0,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248])]) ).

cnf(c_0_253,plain,
    ( leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_127]),c_0_77]),c_0_212]),c_0_213]),c_0_214]),c_0_229]) ).

cnf(c_0_254,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_center7_init,esk32_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_250]) ).

cnf(c_0_255,plain,
    ( leq(esk31_0,n3)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_91]),c_0_77]) ).

cnf(c_0_256,plain,
    leq(esk32_0,n2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_214]),c_0_222]),c_0_253]) ).

cnf(c_0_257,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_258,plain,
    ( leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | $false
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_259,plain,
    ( leq(esk31_0,n3)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_226])]),c_0_256])]) ).

cnf(c_0_260,plain,
    ( leq(n0,esk31_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_91]),c_0_77]) ).

cnf(c_0_261,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | init != s_best7_init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3) ),
    inference(cn,[status(thm)],[c_0_258]) ).

cnf(c_0_262,plain,
    leq(esk31_0,n3),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_127]),c_0_237]),c_0_243]),c_0_248])]),c_0_203]) ).

cnf(c_0_263,plain,
    ( leq(n0,esk31_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_226])]),c_0_256])]) ).

cnf(c_0_264,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62])]) ).

cnf(c_0_265,plain,
    a_select3(simplex7_init,esk30_0,esk29_0) != init,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_262])]),c_0_263]) ).

cnf(c_0_266,plain,
    ( leq(esk29_0,n2)
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_91]),c_0_77]) ).

cnf(c_0_267,plain,
    ~ leq(esk29_0,n2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_127]),c_0_237]),c_0_243]),c_0_248])]) ).

cnf(c_0_268,plain,
    ( leq(esk29_0,n2)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_226])]),c_0_214]) ).

cnf(c_0_269,plain,
    leq(n0,esk31_0),
    inference(sr,[status(thm)],[c_0_202,c_0_267]) ).

cnf(c_0_270,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_108]),c_0_262]),c_0_269])]),c_0_267]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV038+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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
% 0.16/0.33  % Computer : n021.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 04:54:55 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 10.99/7.18  % Version  : CSE_E---1.7
% 10.99/7.18  % Problem  : theBenchmark.p
% 10.99/7.18  % SZS status Theorem for theBenchmark.p
% 10.99/7.18  % SZS output start CNFRefutation
% See solution above
% 11.06/7.22  % Total time : 5.426s
%------------------------------------------------------------------------------